¿por quÉ se presentan fallas y reclamos en ... en la losa aligerada 2. tubería de electricidad...

CONSIDERACIONES DE DISENtildeO Y CONSTRUCCIOacuteN SEGUacuteN LA NSR-10 (ACI 350M-06)

AGOSTO DE 2018 SIKA COLOMBIA DEPARTAMENTO TEacuteCNICO

iquestPOR QUEacute SE PRESENTAN FALLAS Y RECLAMOS EN PISCINAS Y TANQUES










ESTRUCTURAS DE CONCRETO PARA CONTENER LIacuteQUIDOS

ANTECEDENTES

Problemas

1 Fisuras en las paredes

2 Mala calidad de la construccioacuten

Tanque de agua potable


ANTECEDENTES

Problemas

1 Fisuras en la losa aligerada

2 Tuberiacutea de electricidad atravesando la losa

3 Mala calidad en la construccioacuten

Piscina en un 7mo piso

Fisuras en la losa

Viguetas de seccioacuten irregular y tuberiacutea atravesando la losa


ANTECEDENTES

Problemas

1 Fisuras en los muros

2 Muro con deformacioacuten (alabeo)

3 Sin recubrimiento protector en el interior

PTAR en la industria de alimentos

Fisuras


ANTECEDENTES

Problemas

1 Filtracioacuten del agua

2 Corrosioacuten severa

3 Peligro de colapso

Piscina en un piso superior


ANTECEDENTES

Asentamiento

Fisuras en las losas y muros

Secciones y acero insuficientes

Asentamiento y fisuracioacuten


ANTECEDENTES

El capiacutetulo C23 de la NSR-10 se refiere al disentildeo y construccioacuten de estructuras que van a contenerliacutequidos basado en el actual documento ACI 350M-06 del American Concrete Institute

El ACI 350M-06 es el documento de consulta si se desea disentildear una estructura para lacontencioacuten de liacutequidos

Gran parte del material teacutecnico uacutetil se encuentra disperso en maacutes de una publicacioacuten por lo quese hace difiacutecil para el usuario encontrar todo el material para un disentildeo dado


ANTECEDENTES

Seguacuten el ACI 350M-06 el disentildeo de una estructura para contener liacutequidos comprende dos partes

1 Caacutelculo de las secciones de los elementos estructurales y su acero de refuerzo(fundacioacuten muros losa aeacuterea) y

2 Disentildeo de la impermeabilizacioacuten (sellos impermeables juntas de construccioacutendilatacioacuten)

Normalmente se ejecuta la primera parte Existe desconocimiento de los procedimientos dedisentildeo y colocacioacuten de los productos para los sellos y las juntas en los tanques


ANTECEDENTES

sismo

INCLUIDOS


ANTECEDENTES

Bogotaacute

Bucaramanga CuacutecutaBarranquilla

Medelliacuten Cali

Seminario de disentildeo de tanques para ingenieros estructurales (2016)

(113 ingenieros) (90 ingenieros)(25 ingenieros)

(30 ingenieros) (35 ingenieros) (15 ingenieros)


ANTECEDENTES

Manizales


BarrancabermejaPasto

Pereira Cartagena


(35 ingenieros) (15 ingenieros)

441 ingenieros

COacuteDIGOS APLICABLEShellip


COacuteDIGOS APLICABLES


ACI 350M-06


ACI 350M-06ldquoCoacutedigo de Estructuras de Concreto con Ingenieriacutea Ambientalrdquo

Provee requisitos miacutenimos para el disentildeo y construccioacuten de estructuras de concreto reforzado que van a contener liacutequidos (estructuras de concreto con ingenieriacutea ambiental)

Se incluyen tanques y piscinas


ACI 3502R-04


ACI 3503-06


AIS 180-13


AIS 180 ndash 13

ldquoRecomendaciones para Requisitos Siacutesmicos de Estructuras Diferentes de Edificacionesrdquo

Tiene como base el documento ASCE 7-10

El caacutelculo de las fuerzas hidrodinaacutemicas es el mismo del ACI 3503-06

Indica la forma de convertir las fuerzas siacutesmicas de disentildeo de la NSR-10 al formato de ASCE 7-10

EL ACI 350M-06

COacuteDIGO DE ESTRUCTURAS DE CONCRETO CON INGENIERIacuteA AMBIENTAL


ALCANCE DEL USO DEL ACI 350M-06

Si se consideran todas las condiciones de carga adecuadas el disentildeo debe proveer una adecuada seguridad y servicio de la estructura con una expectativa de vida entre 50 y 60 antildeos Algunos componentes de la estructura como los materiales en las juntas tienen una menor expectativa de vida y requeriraacuten mantenimiento o reemplazo


Circulares


Suministra los requisitos para el disentildeo de todo tipo de estructuras de concreto reforzado que van a contener liacutequidos como

Tanques de las plantas de tratamiento de agua potableTanques de las plantas de tratamiento de aguas residualesTanques que van a contener liacutequidos industrialesPiscinas con fines recreativos o deportivos

Rectangulares



La impermeabilidad de la estructura seraacute asegurada de manera razonable si

- La mezcla de concreto es bien proporcionada bien consolidada sin segregacioacuten y curada apropiadamente

- Se minimizan los anchos de fisura y su profundidad- Se provee el acero de refuerzo adecuado detallado fabricado y colocado de manera correcta- Las juntas son apropiadamente espaciadas dimensionadas disentildeadas selladas al paso del agua- Se usan recubrimientos o barreras protectoras impermeables donde se requiera


CLASIFICACIOacuteN DE LOS DEPOacuteSITOS

Superficiales

Se utiliza este tipo de depoacutesitos cuando- El terreno tiene la capacidad suficiente para soportar las cargas sin sufrir

deformaciones importantes- Se requiere contar con una cierta altura para la descarga del liacutequido- Se desea un mantenimiento maacutes sencillo con faacutecil instalacioacuten y operacioacuten de las

tuberiacuteas de entrada y salida



Enterrados

Se utilizan este tipo de depoacutesitos cuando- Es necesario excavar hasta encontrar un sustrato de soporte maacutes resistente- No se quiere modificar el paisaje de manera que su cubierta se puede usar

como jardinera cancha de juego e incluso como helipuerto- Se desea conservar el agua sin grandes variaciones de temperatura



Semi-Enterrados

Se utilizan este tipo de depoacutesitos cuando- Por razones de topografiacutea y por costos se define su colocacioacuten en un sustrato

resistente- Permiten un acceso a las tuberiacuteas e instalaciones maacutes faacutecilmente que los

depoacutesitos enterrados



sismo

INCLUIDOS

EL ACI 3503-06

DISENtildeO SIacuteSMICO DE ESTRUCTURAS DE CONCRETO PARA CONTENER LIacuteQUIDOS


ACI 3502R-04

DISENtildeO SIacuteSMICO

ACI 3503-06


CARGAS DE DISENtildeO ESTAacuteTICAS

LPresioacuten hidrostaacutetica Presioacuten del terreno

D=Carga muerta

Fuerza Hidrostaacutetica Fuerza de empuje del terrerno 119927119938

119875119886

119875ℎ=1

2γ119871 119867sup2119871 B (ton) 119875119886=

1

2γ Hsup2 119870119886 B (ton)

119867119871

H

119875ℎ

B=Ancho del tanque


CARGAS DINAacuteMICAS DE DISENtildeO

Fuerza convectivaFuerza impulsiva Fuerza de inercia de los murosFuerza hidrodinaacutemica por acel vertical

Tanque o piscina

Sismo


CARGAS DE DISENtildeO

Sismo en Nepal (Abril 25 de 2015) Magnitud 79 11 km de profundidad

Tomado de YouTube



Fuerza Impulsiva 119927119946 Fuerza Convectiva 119927119940

(Ton)

Coeficientes siacutesmicos de respuesta

Pesos de las masas de agua impulsiva y convectiva

Factor de modificacioacuten de respuesta de las componentes impulsiva y convectiva

I Factor de importancia

Ecuaciones de George W Housner (1963)

119875119894 = 119868 119862119894119882119894

119877119894

L

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888



L


(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888



Lago de Xochimilco ndash Ciudad de Meacutexico

Sismo de Septiembre 19 de 2017 magnitud 71 57 km de profundidad

Tomado de YouTube







Presioacuten hidrodinaacutemica por aceleracioacuten vertical

L

119867119871

119901119907119910y

Presioacuten hidrostaacutetica

119875ℎ=1

2γ119871 119867sup2119871 B (ton)

119902ℎ119910= γ119871 (119867119871-y) (tonmsup2) 119901119907119910 = 119906119907 119902ℎ119910

Aceleracioacuten vertical

(tonmsup2)

119875119907119875119907

Sismo



L

Fuerza de inercia lateral del muro

(Ton)

Coeficiente de la masa efectiva

119882acute119908 = peso de los muros

119875acute119908 = 119868 119862119894 ε119882acute119908

119877119894

120576 = 00151119871

119867119871

2minus 01908

119871

119867119871+ 1021 le 10

119875acute119908

119927acute119960

Coeficiente siacutesmico de respuesta

Peso de los muros

Factor de modificacioacuten de respuesta de las componente impulsiva


119862119894

119882acute119908

119877119894

119875acute119908

Sismo



L

Fuerza de inercia lateral de la cubierta

(Ton)

119882119903 = peso de la cubierta

119875119903 = 119868 119862119894119882119903

119877119894

119875119903

119927119955


Peso de la cubierta

Factor de modificacioacuten de respuesta de la componente impulsiva


119862119894

119882119903

119877119894

Sismo



Cortante y Momento total en la base del muro (cargas dinaacutemicas)

(Ton)119881 = 119875acute119908 + 119875119903 + 119875119894 2 + 119875sup2119862 + 119875sup2119890119892 + 119875sup2119907

119875119903

119875119890119892119875119890119892

1198751198942

1198751198882119875acute119908119875119907

Fuerza convectivaFuerza impulsiva Fuerza inercia muros

Fuerza hidrodinaacutemica por acel vertical

Fuerza dinaacutemica del suelo

Fuerza de inercia cubierta

V

119875acute119908 = Fuerza de inercia muros119875119903 = Fuerza de inercia cubierta119875119894 = Fuerza lateral de la masa impulsiva119875119888 = Fuerza lateral de la masa convectiva119875119907 = Fuerza lateral debido a la acel vertical119875119890119892 = Fuerza debido al empuje dinaacutemico de tierra

M

119872 = 119872acute119908 +119872119903 +1198721198942 +119872sup2119862 +119872sup2119890119892 +119872sup2119907 (Ton-m)

119872119908 = 119875acute119908 ℎ119908 119872119903 = 119875119903 ℎ119903 119872119894= 119875119894ℎ119894 119872119888= 119875119888ℎ119888 119872119907= 119875119907ℎ119907 119872119890119892= 119875119890119892 ℎ119890119892

ℎ119908

ℎ119903

ℎ119894

ℎ119888ℎ119890119892ℎ119907



119875119903

119875119890119892119875119890119892119875acute119908

(Ton)119881 = 119875acute119908 + 119875119903 + 119875119894 2 + 119875sup2119862 + 119875sup2119890119892 + 119875sup2119907 119875acute119908 = Fuerza de inercia muros119875119903 = Fuerza de inercia cubierta119875119894 = Fuerza lateral de la masa impulsiva119875119888 = Fuerza lateral de la masa convectiva119875119907 = Fuerza lateral debido a la acel vertical119875119890119892 = Fuerza debido al empuje dinaacutemico de tierra119872 = 119872acute119908 +119872119903 +119872119894

2 +119872sup2119862 +119872sup2119890119892 +119872sup2119907 (Ton-m)


MV


CARGAS DINAacuteMICAS (Tanques elevados)

Resultante de la presioacuten impulsivaen la pared y la base

Resultante de la presioacuten convectiva en la pared y la base



Sismo de Ecuador (Abril 16 de 2016)

PEROhellip iquestDE QUEacute MAGNITUD PUEDEN SER LAS CARGAS HIDRODINAacuteMICAS


Documento aplicable



Cali



L= 30m B= 20m (ancho del tanque)030m

Riesgo Siacutesmico Alto (NSR-10)

119881 = 119875prime119908 + 119875119903 + 119875119894 sup2 + 119875sup2119888 + 119875sup2119907 = 237 ton (oacute 441 ton con tapa)

1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V



Bogotaacute

Fuerza convectivaFuerza impulsiva


Riesgo Siacutesmico Medio (NSR-10)

1198751198882= 14 ton

ℎ119908 = 25m

1198751198942= 56 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 13 ton

119875119903 = 108 ton

Fuerza inercia muros


119889119898119886119909 = 023m

119875prime119908 = 10 ton


V



Barranquilla



Riesgo Siacutesmico Bajo (NSR-10)

1198751198882= 7 ton

ℎ119908 = 25m

1198751198942= 28 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 6 ton

119875119903 = 54 ton



119889119898119886119909 = 011m

119875prime119908 = 5 ton


V






119881 = 119875prime119908 + 119875119903 + 119875119894 sup2 + 119875sup2119888 + 119875sup2119907

1198751198882

119875prime119908

ℎ119908 = 25m

1198751198942

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907

ℎ119907 = 13m

119875119903

119889119898119886119909 = 043m

V

Riesgo siacutesmico Ciudad

Fuerzas Dinaacutemicas (ton)Pi Pc Pv Pacutew Pr V

Alto Cali 212 54 25 18 207 441

Medio Bogotaacute 112 28 13 10 108 232

Bajo Barranquilla 56 14 6 5 54 116


CARGAS DINAacuteMICAS vs ESTAacuteTICAS






1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V

LPresioacuten hidrostaacutetica

119875ℎ=1

2γ119871 119867sup2119871 B = 160 ton

ℎ = 13m

ℎ119888 = 20m


OSCILACIOacuteN DE LA OLA

LDesplazamiento vertical maacuteximo

Para el caso del ejemplo (riesgo siacutesmico alto)

119889119898119886119909= 119871

2119862119888119868 =

30119898

2x 0023 x 125 = 043m

119889119898119886119909 = 043m

119889119898119886119909 =119871

2119862119888 I

119862119888 = Coeficiente siacutesmico de respuesta

119868 = Factor de importancia


TANQUES Y PISCINAS

Normalmente los tanques son maacutes grandes que las piscinas y sus cargas hidrodinaacutemicas son maacutes grandes pero en las piscinas las cargas producidas por los sismos son importantes tambieacutenhelliphellip


CARGAS DINAacuteMICAS DE DISENtildeO(PISCINAS)

Cali



L= 24m B= 12m (ancho de la piscina)025m


119881 = 119875prime119908 + 119875119903 + 119875119894 sup2 + 119875sup2119888 + 119875sup2119890119892 + 119875sup2119907 = 389 ton

1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m

Fuerza por empuje dinaacutemico de tierra

119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



Bogotaacute




1198751198882= 24 ton119875prime119908 = 29 ton

ℎ119908 = 1m

1198751198942= 45 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 12 ton



119889119898119886119909 = 013m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 225 ton

ℎ = 10m



Barranquilla




1198751198882= 11 ton119875prime119908 = 14 ton

ℎ119908 = 1m

1198751198942= 23 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 06 ton



119889119898119886119909 = 007m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 69 ton

ℎ = 10m






119881 = 119875prime119908 + 119875119903 + 119875119894 sup2 + 119875sup2119888 + 119875sup2119890119892 + 119875sup2119907

1198751198882

119875prime119908

ℎ119908 = 1m

1198751198942

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892

V

ℎ = 10m


Fuerzas Dinaacutemicas (ton)Pi Pc Pv Prsquow Peg V

Alto Cali 172 9 23 55 302 389




CARGAS DINAacuteMICAS vs ESTAacuteTICAS(PISCINAS)

Fuerza hidrostaacutetica

ℎ = 06m

119867119871 = 18m119875ℎ=

1

2γ119871 119867sup2119871 B = 19 ton






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



sismo

V=38 ton

V=38 ton


Estas cargas se deben tener en cuenta en el disentildeo estructural del edificio



Las cargas dinaacutemicas se calculan a mano (excel) y luego se introducen en programas tipo SAP 2000


CAacuteLCULO DEL ACERO DE REFUERZO

D Carga muertaL Carga vivaLr Carga viva de cubiertaS Carga de nieveR Carga de lluvia

F Carga por presioacuten de fluidosH Carga por presioacuten de suelo nivel freaacuteticoT Efecto de temperatura retraccioacuten

deformacioacuten en el tiempo asentamiento diferencial W Carga de vientoE Carga siacutesmica

ACI 350M-06


CAacuteLCULO DEL ACERO DE REFUERZOACI 350M-06

Factor de durabilidad ambiental

S = Separacioacuten entre barras mm

h = Espesor muro mm

c = Distancia desde la fibra extrema de compresioacuten al eje neutro mm

119878119889 =Ф119891119910

γ119891119904ge 10

γ =119862119886119903119892119886119904 119898119886119910119900119903119886119889119886119904

119862119886119903119892119886119904 sin119898119886119910119900119903119886119903

119891119904119898119886119909 =56000

β 1199042 + 4 50 +1198891198872

2

β=ℎminus119888

119889minus119888

119891119904119898119886119909 = esfuerzo de tensioacuten admisibleMPa

119889119887 = diaacutemetro barras de aceromm




119878119889 =Ф119891119910

γ119891119904ge 10 γ = 14 Sd =

Фfy

γfs= 09 420MPa

14 160MPa= 169

U = 169 14(D+F)




119878119889 =Ф119891119910

γ119891119904ge 10 γ = 13 Sd =

Фfy

γfs= 09 420MPa

13 160MPa= 182

U=182 12 D + F + T + 16 L + H + 05(Lr)


REFUERZO A FLEXIOacuteN (Muros y losas)

Se prefieren diaacutemetros y separaciones pequentildeos de las barras de acero

PARA MINIMIZAR LA APARICIOacuteN DE FISURAS EN EL TANQUEPISCINA





















CALIDAD DEL CONCRETOhellip


CALIDAD DEL CONCRETO

VARIABLES Calidad de los agregados clima tipo de cemento transporte y condiciones de colocacioacuten

Disentildeo de Concreto - Sistema Watertight Concrete

Criterio Rango Recomendacioacuten Sika

Miacutenimo contenido de cementante 320 - 360 Kg msup3 Min 350 Kg msup3

Maacutexima relacioacuten AC 042 - 048 045

Agregados de hormigoacuten (arena grava)Tamantildeo maacuteximo aprox 32 mm

1700 -2100 Kg msup31885 Kg msup3

(Bien clasificado y limpio )

Reductores de agua de alto rango Sikaplastreg Sika Viscocretereg

060 - 12 Superplastificante1 Sika Viscocretereg

Aditivos Adicionales

Sikareg WT-100Sikareg WT-200 CO Sikareg Control 50

Sika Fumereg

15 Sikareg WT-100 20 Sikareg WT-200 CO

Aditivo impermeabilizante

Trabajabilidad Depende de los requerimientos de la estructura

(Generalmente elementos muy reforzados 10 - 12 cm )



El concreto debe ser capaz de acomodarse entre las barras de acero y las cintas de PVC sin generar hormigueros

Tabla 41- Guiacutea de anchos de fisura razonable para el concreto reforzado bajo cargas de servicio

Debe esperarse que una porcioacuten de las fisuras en la estructura excedan estos valores Con el tiempo una porcioacuten significativa puedeexceder estos valores Estas son guiacuteas generales para el disentildeo que deben usarse conjuntamente con un sano juicio de ingenieriacutea


pulg mm

Aire seco o membrana protectora 0016 041Humedad aire huacutemedo suelo 0012 030

Quiacutemicos para deshielo 0007 018Agua de mar zona de salpique ciclo huacutemedo y seco 0006 015

Estructuras de retencioacuten de agua 0004 010

Ancho de fisuraCondicioacuten de exposicioacuten

ACI 224R-CEB-FIP

Excluye a tuberiacuteas sin presioacuten


Espesores miacutenimos de los muros (ACI 3502R-04)

Tabla 21 ndash Espesores de los muros y ubicacioacuten del acero de refuerzo de acuerdo al tipo de vaciadocolocacioacuten del concreto

Descripcioacuten Altura del muro Espesor miacutenimo Ubicacioacuten acero de refuerzo

Concreto vaciado en el

sitio

Maacutes de 3m 30cm Ambas caras

Entre 12m y 3m 25cm Ambas caras

Menos de 12m 15cm Centro del muro

Concreto prefabricado12m o maacutes 20cm Centro del muro


iquestY EL DISENtildeO DE LA IMPERMEABILIZACIOacuteN



LA IMPERMEABILIZACIOacuteN ESTRUCTURAL




La impermeabilizacioacuten estructural corresponde al disentildeo de las juntas en los muros y losas con sus respectivos sellosEs responsabilidad del ingeniero estructural


ACI 3502R-04

DISENtildeO IMPERMEABILIZACIOacuteN

ACI 3503-06


ACI 3502R-04




Documentos adicionales

JUNTAS EN LOS MUROS Y LOSAShelliphellip



Juntas de expansioacuten

Juntas de contraccioacutenjuntas de construccioacuten



Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm

Junta de contraccioacuten Junta de expansioacuten

Junta de construccioacuten







Juntas de contraccioacuten



Junta de contraccioacuten es un plano de debilidad en el muro creado intencionalmente mediante la reduccioacuten de la seccioacuten o del acero de refuerzo o de ambos

Las juntas de contraccioacuten ubican las fisuras en lugares seleccionados por motivos de apariencia esteacutetica impermeabilidad o por integridad estructural

Fisura inducida

Corte

50 o menos del aacuterea del acero (junta de contraccioacuten parcial)

02D oacute 5cm







Separacioacuten de las juntas de contraccioacuten en los muros seguacuten el ACI 2243R

Para muros con altura h entre 3m y 4m con aberturas


SS

h

5m lt S lt 65m

S = separacioacuten de las juntas de contraccioacuten

h = altura del muro

Otras recomendaciones

- S no deberiacutea exceder los 91m (ACI 350R)

- Se recomiendan juntas de contraccioacuten en los bordes de aberturas cambios en espesor del muro o donde puedan aparecer fisuras verticales

Para muros con una altura h mayor a 4m sin aberturas o muros maacutes altos con aberturas

S lt 80m

3m lt S lt 5m En las equinas del muro



Se prefiere la configuracioacuten en aacutereas rectangulares (cuadradas) y que la relacioacuten del lado largo respecto al corto esteacute entre 125 y 15

24b lt S lt 36b

Juntas de contraccioacuten en losas de piso seguacuten el ACI 2243R


S S

b = espesor de la losa de piso



Juntas de construccioacuten en los muros y losas de piso


Sika Waterbar V-10 oacute V-15 (Cinta de PVC)




Tomado de la traduccioacuten del ACI 2243R del IMCYC






Junta de expansioacuten Son juntas en toda la altura del muro y el ancho de la losa que separan dos secciones adyacentes de concreto y permiten su libre movimiento

El acero de refuerzo se suspende totalmente en las juntas de expansioacuten







Separacioacuten de las juntas de expansioacuten seguacuten el ACI 2243R

Coeficiente de expansioacuten teacutermica del concreto 120572 = 11 119909 10minus6

L = 100m (Longitud del muro)

Δ119879 = 20 (Variacioacuten en la temperatura)

119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)


60m lt S lt 100m (S debe estar entre 60m y 100m)

- Se recomiendan juntas de expansioacuten en los cambios de direccioacuten o cuando se encuentran muros de diferentes direcciones

- Los anchos de juntas recomendados oscilan entre 20mm y 25mm

S = separacioacuten de las juntas de expansioacuten


S

h

L




Sika Waterbar O-22 (Cinta de PVC)

SikaRod (Fondo de junta de poliuretano)

Sikaflex PRO-3 (Sello elaacutestico de poliuretano)

Sikadur Combiflex SG (Cinta impermeable flexible de poliolefina)

Juntas de expansioacuten en los muros y losas de piso





S







Juntas de expansioacuten en losas de piso seguacuten el ACI 2243R


Junta de expansioacuten







Juntas de construccioacuten




Junta de construccioacuten Son juntas que se forman por la interrupcioacuten de la colocacioacuten del concreto Pueden ser verticales o horizontales y su lugar se establece antes de la construccioacuten

Las juntas de construccioacuten deberiacutean planearse para coincidir con las juntas de expansioacuten o las de contraccioacuten Si no coinciden con eacutestas deben sellarse como si fueran unas juntas de contraccioacuten

La junta de construccioacuten debe hacerse con las hendiduras que permitan la colocacioacuten del sellante a menos que se haya colocado una cinta de PVC

Las juntas de construccioacuten deberiacutean coincidir con las juntas de contraccioacuten y las de expansioacuten

Fisura inducida

Corte

02D oacute 5cm


















Sika Swell (Sello expandible hidrofiacutelico)


iquestCOacuteMO ESCOGER LAS CINTAS DE PVC



Errores de colocacioacuten de las cintas de PVC

La cinta de PVC no quedoacute centrada en el muro

La cinta de PVC quedoacute en la parte externa del muro en lugar de en el centro



Funcionamiento de las cintas de PVC

Sin las cintas Sika Waterbar el agua penetraraacute por las juntas de expansioacuten y por las de contraccioacutenconstruccioacuten




Las cintas Sika Waterbar usan el principio del laberinto (alargan la trayectoria del agua) logrando un sello durable



Seleccioacuten de las cintas de PVC



Las cintas de PVC (Sika Waterbars)

Estabilidad dimensional y apilamientoLongitudes de 15m y 30m

Guiacutea para la correcta instalacioacuten Suministro de detalles prefabricados y ganchos de sujecioacuten




La plancha de las cintas de PVC (Sika Waterbars)

Unioacuten de una Cinta de PVC bien hecha Unioacuten mal hecha (con soplete)




Usar ganchos que no perforen la cinta de PVC






Otros produtos que complementan a las Sika Waterbars











PEROhellipiquestQUEacute VAMOS A HACER CON LOS TANQUESPISCINAS EXISTENTES


REHABILITACIOacuteN DE TANQUES EXISTENTES

Tanque de agua potable Beleacuten ndash Ibagueacute (2002)

Reforzado con platinas de fibra de carbono Sika CarboDur S512 para mejorar el desempentildeo siacutesmico de los muros del tanque



Planta de tratamiento de agua potable ndash Medelliacuten (2004)

Rehabilitacioacuten de toda la estructura mediante la aplicacioacuten de

Inhibidor de corrosioacuten por impregnacioacuten (Sika ferroGard 903) Mortero de reparacioacuten (SikaTop 122) Recubrimiento protector (Sikaguard 62)



Tanque de agua potable Vitelma ndash Bogotaacute (2005)

Recrecimiento de las columnas con un concreto sin retraccioacuten (Sika Concrelisto RE 5000)



Tanque de agua potable Vitelma ndash Bogotaacute (2005) Reforzamiento de las paredes del tanque con un tejido de fibra de carbono (SikaWrap 600C) para mejorar su comportamiento durante un sismo



Tanque de agua potable Corbones ndash Armenia (2006)

Reforzamiento de las paredes del tanque con un tejido de fibra de vidrio (SikaWrap 100G) para mejorar su desempentildeo durante un sismo



Planta de tratamiento de agua potable de Wiesner ndash La Calera (2006)


Inhibidor de corrosioacuten (SikaTop Armatec 108) Mortero de reparacioacuten (SikaTop 122) Mortero de nivelacioacuten (Sikaguard 720 EpoCem)Recubrimiento protector (Sikaguard 62) Resina de poliuretano para inyeccioacuten de fisuras (SikaFix HH)


COacuteMO ESCOGER LA IMPERMEABILIZACIOacuteN FINAL

Si la piscinatanque no fue disentildeada seguacuten la NSR-10 (ACI 350) se debe usar el sistema de impermeabilizacioacuten maacutes seguro

Sikaplan 15 PR

Membrana de PVC plastificado con armadura de fibra de polieacutester


CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95

ACI 504R-90Se requieren varios documentos para el disentildeo de tanquespiscinas


CONCLUSIONES

- Disentildeo estructural completo

Disentildeo de secciones y acero de refuerzo

Disentildeo de la impermeabilizacioacuten estructural (juntas y sus sellos)

Caacutelculo de Fuerzas Dinaacutemicas Disentildeo de la impermeabilizacioacuten estructural


CONCLUSIONES

- TanquesPiscinas existentes

Se pueden rehabilitarreforzar para que sigan en uso


CONCLUSIONES

- Documento Sika sobre el tema


CONCLUSIONES

iexclQue esta piscina no sea nuestro mejor disentildeo

GRACIAS

rendonjorgecosikacom

Si gusta tener maacutes informacioacuten sobre el tema de este evento escribir a

ecuentrodeconstructorescosikacom

solanofelipecosikacom

GRACIAS



encuentrodeconstructorescosikacom

GRACIAS














ANTECEDENTES

Problemas





ANTECEDENTES

Problemas





Fisuras en la losa



ANTECEDENTES

Problemas





Fisuras


ANTECEDENTES

Problemas






ANTECEDENTES

Asentamiento





ANTECEDENTES





ANTECEDENTES






ANTECEDENTES

sismo

INCLUIDOS


ANTECEDENTES

Bogotaacute


Medelliacuten Cali





ANTECEDENTES

Manizales



Pereira Cartagena



441 ingenieros





ACI 350M-06






ACI 3502R-04


ACI 3503-06


AIS 180-13


AIS 180 ndash 13





EL ACI 350M-06






Circulares




Rectangulares








Superficiales






Enterrados





Semi-Enterrados






sismo

INCLUIDOS

EL ACI 3503-06



ACI 3502R-04


ACI 3503-06




D=Carga muerta


119875119886

119875ℎ=1

2γ119871 119867sup2119871 B (ton) 119875119886=

1

2γ Hsup2 119870119886 B (ton)

119867119871

H

119875ℎ

B=Ancho del tanque




Tanque o piscina

Sismo




Tomado de YouTube




(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

L

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888



L


(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888





Tomado de YouTube








L

119867119871

119901119907119910y


119875ℎ=1

2γ119871 119867sup2119871 B (ton)

119902ℎ119910= γ119871 (119867119871-y) (tonmsup2) 119901119907119910 = 119906119907 119902ℎ119910


(tonmsup2)

119875119907119875119907

Sismo



L


(Ton)



119875acute119908 = 119868 119862119894 ε119882acute119908

119877119894

120576 = 00151119871

119867119871

2minus 01908

119871

119867119871+ 1021 le 10

119875acute119908

119927acute119960


Peso de los muros



119862119894

119882acute119908

119877119894

119875acute119908

Sismo



L


(Ton)


119875119903 = 119868 119862119894119882119903

119877119894

119875119903

119927119955


Peso de la cubierta



119862119894

119882119903

119877119894

Sismo





119875119903

119875119890119892119875119890119892

1198751198942

1198751198882119875acute119908119875119907





V


M


119872119908 = 119875acute119908 ℎ119908 119872119903 = 119875119903 ℎ119903 119872119894= 119875119894ℎ119894 119872119888= 119875119888ℎ119888 119872119907= 119875119907ℎ119907 119872119890119892= 119875119890119892 ℎ119890119892

ℎ119908

ℎ119903

ℎ119894

ℎ119888ℎ119890119892ℎ119907



119875119903

119875119890119892119875119890119892119875acute119908


2 +119872sup2119862 +119872sup2119890119892 +119872sup2119907 (Ton-m)


MV










Documento aplicable



Cali






1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V



Bogotaacute




1198751198882= 14 ton

ℎ119908 = 25m

1198751198942= 56 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 13 ton

119875119903 = 108 ton



119889119898119886119909 = 023m

119875prime119908 = 10 ton


V



Barranquilla




1198751198882= 7 ton

ℎ119908 = 25m

1198751198942= 28 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 6 ton

119875119903 = 54 ton



119889119898119886119909 = 011m

119875prime119908 = 5 ton


V






119881 = 119875prime119908 + 119875119903 + 119875119894 sup2 + 119875sup2119888 + 119875sup2119907

1198751198882

119875prime119908

ℎ119908 = 25m

1198751198942

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907

ℎ119907 = 13m

119875119903

119889119898119886119909 = 043m

V



Alto Cali 212 54 25 18 207 441










1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V


119875ℎ=1

2γ119871 119867sup2119871 B = 160 ton

ℎ = 13m

ℎ119888 = 20m





119889119898119886119909= 119871

2119862119888119868 =

30119898

2x 0023 x 125 = 043m

119889119898119886119909 = 043m

119889119898119886119909 =119871

2119862119888 I




TANQUES Y PISCINAS




Cali






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



Bogotaacute




1198751198882= 24 ton119875prime119908 = 29 ton

ℎ119908 = 1m

1198751198942= 45 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 12 ton



119889119898119886119909 = 013m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 225 ton

ℎ = 10m



Barranquilla




1198751198882= 11 ton119875prime119908 = 14 ton

ℎ119908 = 1m

1198751198942= 23 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 06 ton



119889119898119886119909 = 007m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 69 ton

ℎ = 10m







1198751198882

119875prime119908

ℎ119908 = 1m

1198751198942

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892

V

ℎ = 10m



Alto Cali 172 9 23 55 302 389






ℎ = 06m

119867119871 = 18m119875ℎ=

1

2γ119871 119867sup2119871 B = 19 ton






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



sismo

V=38 ton

V=38 ton











ACI 350M-06





h = Espesor muro mm


119878119889 =Ф119891119910

γ119891119904ge 10

γ =119862119886119903119892119886119904 119898119886119910119900119903119886119889119886119904

119862119886119903119892119886119904 sin119898119886119910119900119903119886119903

119891119904119898119886119909 =56000

β 1199042 + 4 50 +1198891198872

2

β=ℎminus119888

119889minus119888






119878119889 =Ф119891119910

γ119891119904ge 10 γ = 14 Sd =

Фfy

γfs= 09 420MPa

14 160MPa= 169

U = 169 14(D+F)




119878119889 =Ф119891119910

γ119891119904ge 10 γ = 13 Sd =

Фfy

γfs= 09 420MPa

13 160MPa= 182

U=182 12 D + F + T + 16 L + H + 05(Lr)


































1700 -2100 Kg msup31885 Kg msup3






Sika Fumereg











pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS





ANTECEDENTES

Problemas





Fisuras en la losa



ANTECEDENTES

Problemas





Fisuras


ANTECEDENTES

Problemas






ANTECEDENTES

Asentamiento





ANTECEDENTES





ANTECEDENTES






ANTECEDENTES

sismo

INCLUIDOS


ANTECEDENTES

Bogotaacute


Medelliacuten Cali





ANTECEDENTES

Manizales



Pereira Cartagena



441 ingenieros





ACI 350M-06






ACI 3502R-04


ACI 3503-06


AIS 180-13


AIS 180 ndash 13





EL ACI 350M-06






Circulares




Rectangulares








Superficiales






Enterrados





Semi-Enterrados






sismo

INCLUIDOS

EL ACI 3503-06



ACI 3502R-04


ACI 3503-06




D=Carga muerta


119875119886

119875ℎ=1

2γ119871 119867sup2119871 B (ton) 119875119886=

1

2γ Hsup2 119870119886 B (ton)

119867119871

H

119875ℎ

B=Ancho del tanque




Tanque o piscina

Sismo




Tomado de YouTube




(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

L

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888



L


(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888





Tomado de YouTube








L

119867119871

119901119907119910y


119875ℎ=1

2γ119871 119867sup2119871 B (ton)

119902ℎ119910= γ119871 (119867119871-y) (tonmsup2) 119901119907119910 = 119906119907 119902ℎ119910


(tonmsup2)

119875119907119875119907

Sismo



L


(Ton)



119875acute119908 = 119868 119862119894 ε119882acute119908

119877119894

120576 = 00151119871

119867119871

2minus 01908

119871

119867119871+ 1021 le 10

119875acute119908

119927acute119960


Peso de los muros



119862119894

119882acute119908

119877119894

119875acute119908

Sismo



L


(Ton)


119875119903 = 119868 119862119894119882119903

119877119894

119875119903

119927119955


Peso de la cubierta



119862119894

119882119903

119877119894

Sismo





119875119903

119875119890119892119875119890119892

1198751198942

1198751198882119875acute119908119875119907





V


M


119872119908 = 119875acute119908 ℎ119908 119872119903 = 119875119903 ℎ119903 119872119894= 119875119894ℎ119894 119872119888= 119875119888ℎ119888 119872119907= 119875119907ℎ119907 119872119890119892= 119875119890119892 ℎ119890119892

ℎ119908

ℎ119903

ℎ119894

ℎ119888ℎ119890119892ℎ119907



119875119903

119875119890119892119875119890119892119875acute119908


2 +119872sup2119862 +119872sup2119890119892 +119872sup2119907 (Ton-m)


MV










Documento aplicable



Cali






1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V



Bogotaacute




1198751198882= 14 ton

ℎ119908 = 25m

1198751198942= 56 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 13 ton

119875119903 = 108 ton



119889119898119886119909 = 023m

119875prime119908 = 10 ton


V



Barranquilla




1198751198882= 7 ton

ℎ119908 = 25m

1198751198942= 28 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 6 ton

119875119903 = 54 ton



119889119898119886119909 = 011m

119875prime119908 = 5 ton


V






119881 = 119875prime119908 + 119875119903 + 119875119894 sup2 + 119875sup2119888 + 119875sup2119907

1198751198882

119875prime119908

ℎ119908 = 25m

1198751198942

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907

ℎ119907 = 13m

119875119903

119889119898119886119909 = 043m

V



Alto Cali 212 54 25 18 207 441










1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V


119875ℎ=1

2γ119871 119867sup2119871 B = 160 ton

ℎ = 13m

ℎ119888 = 20m





119889119898119886119909= 119871

2119862119888119868 =

30119898

2x 0023 x 125 = 043m

119889119898119886119909 = 043m

119889119898119886119909 =119871

2119862119888 I




TANQUES Y PISCINAS




Cali






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



Bogotaacute




1198751198882= 24 ton119875prime119908 = 29 ton

ℎ119908 = 1m

1198751198942= 45 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 12 ton



119889119898119886119909 = 013m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 225 ton

ℎ = 10m



Barranquilla




1198751198882= 11 ton119875prime119908 = 14 ton

ℎ119908 = 1m

1198751198942= 23 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 06 ton



119889119898119886119909 = 007m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 69 ton

ℎ = 10m







1198751198882

119875prime119908

ℎ119908 = 1m

1198751198942

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892

V

ℎ = 10m



Alto Cali 172 9 23 55 302 389






ℎ = 06m

119867119871 = 18m119875ℎ=

1

2γ119871 119867sup2119871 B = 19 ton






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



sismo

V=38 ton

V=38 ton











ACI 350M-06





h = Espesor muro mm


119878119889 =Ф119891119910

γ119891119904ge 10

γ =119862119886119903119892119886119904 119898119886119910119900119903119886119889119886119904

119862119886119903119892119886119904 sin119898119886119910119900119903119886119903

119891119904119898119886119909 =56000

β 1199042 + 4 50 +1198891198872

2

β=ℎminus119888

119889minus119888






119878119889 =Ф119891119910

γ119891119904ge 10 γ = 14 Sd =

Фfy

γfs= 09 420MPa

14 160MPa= 169

U = 169 14(D+F)




119878119889 =Ф119891119910

γ119891119904ge 10 γ = 13 Sd =

Фfy

γfs= 09 420MPa

13 160MPa= 182

U=182 12 D + F + T + 16 L + H + 05(Lr)


































1700 -2100 Kg msup31885 Kg msup3






Sika Fumereg











pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS





ANTECEDENTES

Problemas





Fisuras


ANTECEDENTES

Problemas






ANTECEDENTES

Asentamiento





ANTECEDENTES





ANTECEDENTES






ANTECEDENTES

sismo

INCLUIDOS


ANTECEDENTES

Bogotaacute


Medelliacuten Cali





ANTECEDENTES

Manizales



Pereira Cartagena



441 ingenieros





ACI 350M-06






ACI 3502R-04


ACI 3503-06


AIS 180-13


AIS 180 ndash 13





EL ACI 350M-06






Circulares




Rectangulares








Superficiales






Enterrados





Semi-Enterrados






sismo

INCLUIDOS

EL ACI 3503-06



ACI 3502R-04


ACI 3503-06




D=Carga muerta


119875119886

119875ℎ=1

2γ119871 119867sup2119871 B (ton) 119875119886=

1

2γ Hsup2 119870119886 B (ton)

119867119871

H

119875ℎ

B=Ancho del tanque




Tanque o piscina

Sismo




Tomado de YouTube




(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

L

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888



L


(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888





Tomado de YouTube








L

119867119871

119901119907119910y


119875ℎ=1

2γ119871 119867sup2119871 B (ton)

119902ℎ119910= γ119871 (119867119871-y) (tonmsup2) 119901119907119910 = 119906119907 119902ℎ119910


(tonmsup2)

119875119907119875119907

Sismo



L


(Ton)



119875acute119908 = 119868 119862119894 ε119882acute119908

119877119894

120576 = 00151119871

119867119871

2minus 01908

119871

119867119871+ 1021 le 10

119875acute119908

119927acute119960


Peso de los muros



119862119894

119882acute119908

119877119894

119875acute119908

Sismo



L


(Ton)


119875119903 = 119868 119862119894119882119903

119877119894

119875119903

119927119955


Peso de la cubierta



119862119894

119882119903

119877119894

Sismo





119875119903

119875119890119892119875119890119892

1198751198942

1198751198882119875acute119908119875119907





V


M


119872119908 = 119875acute119908 ℎ119908 119872119903 = 119875119903 ℎ119903 119872119894= 119875119894ℎ119894 119872119888= 119875119888ℎ119888 119872119907= 119875119907ℎ119907 119872119890119892= 119875119890119892 ℎ119890119892

ℎ119908

ℎ119903

ℎ119894

ℎ119888ℎ119890119892ℎ119907



119875119903

119875119890119892119875119890119892119875acute119908


2 +119872sup2119862 +119872sup2119890119892 +119872sup2119907 (Ton-m)


MV










Documento aplicable



Cali






1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V



Bogotaacute




1198751198882= 14 ton

ℎ119908 = 25m

1198751198942= 56 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 13 ton

119875119903 = 108 ton



119889119898119886119909 = 023m

119875prime119908 = 10 ton


V



Barranquilla




1198751198882= 7 ton

ℎ119908 = 25m

1198751198942= 28 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 6 ton

119875119903 = 54 ton



119889119898119886119909 = 011m

119875prime119908 = 5 ton


V






119881 = 119875prime119908 + 119875119903 + 119875119894 sup2 + 119875sup2119888 + 119875sup2119907

1198751198882

119875prime119908

ℎ119908 = 25m

1198751198942

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907

ℎ119907 = 13m

119875119903

119889119898119886119909 = 043m

V



Alto Cali 212 54 25 18 207 441










1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V


119875ℎ=1

2γ119871 119867sup2119871 B = 160 ton

ℎ = 13m

ℎ119888 = 20m





119889119898119886119909= 119871

2119862119888119868 =

30119898

2x 0023 x 125 = 043m

119889119898119886119909 = 043m

119889119898119886119909 =119871

2119862119888 I




TANQUES Y PISCINAS




Cali






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



Bogotaacute




1198751198882= 24 ton119875prime119908 = 29 ton

ℎ119908 = 1m

1198751198942= 45 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 12 ton



119889119898119886119909 = 013m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 225 ton

ℎ = 10m



Barranquilla




1198751198882= 11 ton119875prime119908 = 14 ton

ℎ119908 = 1m

1198751198942= 23 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 06 ton



119889119898119886119909 = 007m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 69 ton

ℎ = 10m







1198751198882

119875prime119908

ℎ119908 = 1m

1198751198942

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892

V

ℎ = 10m



Alto Cali 172 9 23 55 302 389






ℎ = 06m

119867119871 = 18m119875ℎ=

1

2γ119871 119867sup2119871 B = 19 ton






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



sismo

V=38 ton

V=38 ton











ACI 350M-06





h = Espesor muro mm


119878119889 =Ф119891119910

γ119891119904ge 10

γ =119862119886119903119892119886119904 119898119886119910119900119903119886119889119886119904

119862119886119903119892119886119904 sin119898119886119910119900119903119886119903

119891119904119898119886119909 =56000

β 1199042 + 4 50 +1198891198872

2

β=ℎminus119888

119889minus119888






119878119889 =Ф119891119910

γ119891119904ge 10 γ = 14 Sd =

Фfy

γfs= 09 420MPa

14 160MPa= 169

U = 169 14(D+F)




119878119889 =Ф119891119910

γ119891119904ge 10 γ = 13 Sd =

Фfy

γfs= 09 420MPa

13 160MPa= 182

U=182 12 D + F + T + 16 L + H + 05(Lr)


































1700 -2100 Kg msup31885 Kg msup3






Sika Fumereg











pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS





ANTECEDENTES

Problemas






ANTECEDENTES

Asentamiento





ANTECEDENTES





ANTECEDENTES






ANTECEDENTES

sismo

INCLUIDOS


ANTECEDENTES

Bogotaacute


Medelliacuten Cali





ANTECEDENTES

Manizales



Pereira Cartagena



441 ingenieros





ACI 350M-06






ACI 3502R-04


ACI 3503-06


AIS 180-13


AIS 180 ndash 13





EL ACI 350M-06






Circulares




Rectangulares








Superficiales






Enterrados





Semi-Enterrados






sismo

INCLUIDOS

EL ACI 3503-06



ACI 3502R-04


ACI 3503-06




D=Carga muerta


119875119886

119875ℎ=1

2γ119871 119867sup2119871 B (ton) 119875119886=

1

2γ Hsup2 119870119886 B (ton)

119867119871

H

119875ℎ

B=Ancho del tanque




Tanque o piscina

Sismo




Tomado de YouTube




(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

L

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888



L


(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888





Tomado de YouTube








L

119867119871

119901119907119910y


119875ℎ=1

2γ119871 119867sup2119871 B (ton)

119902ℎ119910= γ119871 (119867119871-y) (tonmsup2) 119901119907119910 = 119906119907 119902ℎ119910


(tonmsup2)

119875119907119875119907

Sismo



L


(Ton)



119875acute119908 = 119868 119862119894 ε119882acute119908

119877119894

120576 = 00151119871

119867119871

2minus 01908

119871

119867119871+ 1021 le 10

119875acute119908

119927acute119960


Peso de los muros



119862119894

119882acute119908

119877119894

119875acute119908

Sismo



L


(Ton)


119875119903 = 119868 119862119894119882119903

119877119894

119875119903

119927119955


Peso de la cubierta



119862119894

119882119903

119877119894

Sismo





119875119903

119875119890119892119875119890119892

1198751198942

1198751198882119875acute119908119875119907





V


M


119872119908 = 119875acute119908 ℎ119908 119872119903 = 119875119903 ℎ119903 119872119894= 119875119894ℎ119894 119872119888= 119875119888ℎ119888 119872119907= 119875119907ℎ119907 119872119890119892= 119875119890119892 ℎ119890119892

ℎ119908

ℎ119903

ℎ119894

ℎ119888ℎ119890119892ℎ119907



119875119903

119875119890119892119875119890119892119875acute119908


2 +119872sup2119862 +119872sup2119890119892 +119872sup2119907 (Ton-m)


MV










Documento aplicable



Cali






1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V



Bogotaacute




1198751198882= 14 ton

ℎ119908 = 25m

1198751198942= 56 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 13 ton

119875119903 = 108 ton



119889119898119886119909 = 023m

119875prime119908 = 10 ton


V



Barranquilla




1198751198882= 7 ton

ℎ119908 = 25m

1198751198942= 28 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 6 ton

119875119903 = 54 ton



119889119898119886119909 = 011m

119875prime119908 = 5 ton


V






119881 = 119875prime119908 + 119875119903 + 119875119894 sup2 + 119875sup2119888 + 119875sup2119907

1198751198882

119875prime119908

ℎ119908 = 25m

1198751198942

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907

ℎ119907 = 13m

119875119903

119889119898119886119909 = 043m

V



Alto Cali 212 54 25 18 207 441










1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V


119875ℎ=1

2γ119871 119867sup2119871 B = 160 ton

ℎ = 13m

ℎ119888 = 20m





119889119898119886119909= 119871

2119862119888119868 =

30119898

2x 0023 x 125 = 043m

119889119898119886119909 = 043m

119889119898119886119909 =119871

2119862119888 I




TANQUES Y PISCINAS




Cali






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



Bogotaacute




1198751198882= 24 ton119875prime119908 = 29 ton

ℎ119908 = 1m

1198751198942= 45 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 12 ton



119889119898119886119909 = 013m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 225 ton

ℎ = 10m



Barranquilla




1198751198882= 11 ton119875prime119908 = 14 ton

ℎ119908 = 1m

1198751198942= 23 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 06 ton



119889119898119886119909 = 007m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 69 ton

ℎ = 10m







1198751198882

119875prime119908

ℎ119908 = 1m

1198751198942

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892

V

ℎ = 10m



Alto Cali 172 9 23 55 302 389






ℎ = 06m

119867119871 = 18m119875ℎ=

1

2γ119871 119867sup2119871 B = 19 ton






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



sismo

V=38 ton

V=38 ton











ACI 350M-06





h = Espesor muro mm


119878119889 =Ф119891119910

γ119891119904ge 10

γ =119862119886119903119892119886119904 119898119886119910119900119903119886119889119886119904

119862119886119903119892119886119904 sin119898119886119910119900119903119886119903

119891119904119898119886119909 =56000

β 1199042 + 4 50 +1198891198872

2

β=ℎminus119888

119889minus119888






119878119889 =Ф119891119910

γ119891119904ge 10 γ = 14 Sd =

Фfy

γfs= 09 420MPa

14 160MPa= 169

U = 169 14(D+F)




119878119889 =Ф119891119910

γ119891119904ge 10 γ = 13 Sd =

Фfy

γfs= 09 420MPa

13 160MPa= 182

U=182 12 D + F + T + 16 L + H + 05(Lr)


































1700 -2100 Kg msup31885 Kg msup3






Sika Fumereg











pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS





ANTECEDENTES

Asentamiento





ANTECEDENTES





ANTECEDENTES






ANTECEDENTES

sismo

INCLUIDOS


ANTECEDENTES

Bogotaacute


Medelliacuten Cali





ANTECEDENTES

Manizales



Pereira Cartagena



441 ingenieros





ACI 350M-06






ACI 3502R-04


ACI 3503-06


AIS 180-13


AIS 180 ndash 13





EL ACI 350M-06






Circulares




Rectangulares








Superficiales






Enterrados





Semi-Enterrados






sismo

INCLUIDOS

EL ACI 3503-06



ACI 3502R-04


ACI 3503-06




D=Carga muerta


119875119886

119875ℎ=1

2γ119871 119867sup2119871 B (ton) 119875119886=

1

2γ Hsup2 119870119886 B (ton)

119867119871

H

119875ℎ

B=Ancho del tanque




Tanque o piscina

Sismo




Tomado de YouTube




(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

L

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888



L


(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888





Tomado de YouTube








L

119867119871

119901119907119910y


119875ℎ=1

2γ119871 119867sup2119871 B (ton)

119902ℎ119910= γ119871 (119867119871-y) (tonmsup2) 119901119907119910 = 119906119907 119902ℎ119910


(tonmsup2)

119875119907119875119907

Sismo



L


(Ton)



119875acute119908 = 119868 119862119894 ε119882acute119908

119877119894

120576 = 00151119871

119867119871

2minus 01908

119871

119867119871+ 1021 le 10

119875acute119908

119927acute119960


Peso de los muros



119862119894

119882acute119908

119877119894

119875acute119908

Sismo



L


(Ton)


119875119903 = 119868 119862119894119882119903

119877119894

119875119903

119927119955


Peso de la cubierta



119862119894

119882119903

119877119894

Sismo





119875119903

119875119890119892119875119890119892

1198751198942

1198751198882119875acute119908119875119907





V


M


119872119908 = 119875acute119908 ℎ119908 119872119903 = 119875119903 ℎ119903 119872119894= 119875119894ℎ119894 119872119888= 119875119888ℎ119888 119872119907= 119875119907ℎ119907 119872119890119892= 119875119890119892 ℎ119890119892

ℎ119908

ℎ119903

ℎ119894

ℎ119888ℎ119890119892ℎ119907



119875119903

119875119890119892119875119890119892119875acute119908


2 +119872sup2119862 +119872sup2119890119892 +119872sup2119907 (Ton-m)


MV










Documento aplicable



Cali






1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V



Bogotaacute




1198751198882= 14 ton

ℎ119908 = 25m

1198751198942= 56 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 13 ton

119875119903 = 108 ton



119889119898119886119909 = 023m

119875prime119908 = 10 ton


V



Barranquilla




1198751198882= 7 ton

ℎ119908 = 25m

1198751198942= 28 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 6 ton

119875119903 = 54 ton



119889119898119886119909 = 011m

119875prime119908 = 5 ton


V






119881 = 119875prime119908 + 119875119903 + 119875119894 sup2 + 119875sup2119888 + 119875sup2119907

1198751198882

119875prime119908

ℎ119908 = 25m

1198751198942

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907

ℎ119907 = 13m

119875119903

119889119898119886119909 = 043m

V



Alto Cali 212 54 25 18 207 441










1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V


119875ℎ=1

2γ119871 119867sup2119871 B = 160 ton

ℎ = 13m

ℎ119888 = 20m





119889119898119886119909= 119871

2119862119888119868 =

30119898

2x 0023 x 125 = 043m

119889119898119886119909 = 043m

119889119898119886119909 =119871

2119862119888 I




TANQUES Y PISCINAS




Cali






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



Bogotaacute




1198751198882= 24 ton119875prime119908 = 29 ton

ℎ119908 = 1m

1198751198942= 45 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 12 ton



119889119898119886119909 = 013m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 225 ton

ℎ = 10m



Barranquilla




1198751198882= 11 ton119875prime119908 = 14 ton

ℎ119908 = 1m

1198751198942= 23 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 06 ton



119889119898119886119909 = 007m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 69 ton

ℎ = 10m







1198751198882

119875prime119908

ℎ119908 = 1m

1198751198942

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892

V

ℎ = 10m



Alto Cali 172 9 23 55 302 389






ℎ = 06m

119867119871 = 18m119875ℎ=

1

2γ119871 119867sup2119871 B = 19 ton






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



sismo

V=38 ton

V=38 ton











ACI 350M-06





h = Espesor muro mm


119878119889 =Ф119891119910

γ119891119904ge 10

γ =119862119886119903119892119886119904 119898119886119910119900119903119886119889119886119904

119862119886119903119892119886119904 sin119898119886119910119900119903119886119903

119891119904119898119886119909 =56000

β 1199042 + 4 50 +1198891198872

2

β=ℎminus119888

119889minus119888






119878119889 =Ф119891119910

γ119891119904ge 10 γ = 14 Sd =

Фfy

γfs= 09 420MPa

14 160MPa= 169

U = 169 14(D+F)




119878119889 =Ф119891119910

γ119891119904ge 10 γ = 13 Sd =

Фfy

γfs= 09 420MPa

13 160MPa= 182

U=182 12 D + F + T + 16 L + H + 05(Lr)


































1700 -2100 Kg msup31885 Kg msup3






Sika Fumereg











pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS





ANTECEDENTES





ANTECEDENTES






ANTECEDENTES

sismo

INCLUIDOS


ANTECEDENTES

Bogotaacute


Medelliacuten Cali





ANTECEDENTES

Manizales



Pereira Cartagena



441 ingenieros





ACI 350M-06






ACI 3502R-04


ACI 3503-06


AIS 180-13


AIS 180 ndash 13





EL ACI 350M-06






Circulares




Rectangulares








Superficiales






Enterrados





Semi-Enterrados






sismo

INCLUIDOS

EL ACI 3503-06



ACI 3502R-04


ACI 3503-06




D=Carga muerta


119875119886

119875ℎ=1

2γ119871 119867sup2119871 B (ton) 119875119886=

1

2γ Hsup2 119870119886 B (ton)

119867119871

H

119875ℎ

B=Ancho del tanque




Tanque o piscina

Sismo




Tomado de YouTube




(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

L

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888



L


(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888





Tomado de YouTube








L

119867119871

119901119907119910y


119875ℎ=1

2γ119871 119867sup2119871 B (ton)

119902ℎ119910= γ119871 (119867119871-y) (tonmsup2) 119901119907119910 = 119906119907 119902ℎ119910


(tonmsup2)

119875119907119875119907

Sismo



L


(Ton)



119875acute119908 = 119868 119862119894 ε119882acute119908

119877119894

120576 = 00151119871

119867119871

2minus 01908

119871

119867119871+ 1021 le 10

119875acute119908

119927acute119960


Peso de los muros



119862119894

119882acute119908

119877119894

119875acute119908

Sismo



L


(Ton)


119875119903 = 119868 119862119894119882119903

119877119894

119875119903

119927119955


Peso de la cubierta



119862119894

119882119903

119877119894

Sismo





119875119903

119875119890119892119875119890119892

1198751198942

1198751198882119875acute119908119875119907





V


M


119872119908 = 119875acute119908 ℎ119908 119872119903 = 119875119903 ℎ119903 119872119894= 119875119894ℎ119894 119872119888= 119875119888ℎ119888 119872119907= 119875119907ℎ119907 119872119890119892= 119875119890119892 ℎ119890119892

ℎ119908

ℎ119903

ℎ119894

ℎ119888ℎ119890119892ℎ119907



119875119903

119875119890119892119875119890119892119875acute119908


2 +119872sup2119862 +119872sup2119890119892 +119872sup2119907 (Ton-m)


MV










Documento aplicable



Cali






1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V



Bogotaacute




1198751198882= 14 ton

ℎ119908 = 25m

1198751198942= 56 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 13 ton

119875119903 = 108 ton



119889119898119886119909 = 023m

119875prime119908 = 10 ton


V



Barranquilla




1198751198882= 7 ton

ℎ119908 = 25m

1198751198942= 28 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 6 ton

119875119903 = 54 ton



119889119898119886119909 = 011m

119875prime119908 = 5 ton


V






119881 = 119875prime119908 + 119875119903 + 119875119894 sup2 + 119875sup2119888 + 119875sup2119907

1198751198882

119875prime119908

ℎ119908 = 25m

1198751198942

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907

ℎ119907 = 13m

119875119903

119889119898119886119909 = 043m

V



Alto Cali 212 54 25 18 207 441










1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V


119875ℎ=1

2γ119871 119867sup2119871 B = 160 ton

ℎ = 13m

ℎ119888 = 20m





119889119898119886119909= 119871

2119862119888119868 =

30119898

2x 0023 x 125 = 043m

119889119898119886119909 = 043m

119889119898119886119909 =119871

2119862119888 I




TANQUES Y PISCINAS




Cali






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



Bogotaacute




1198751198882= 24 ton119875prime119908 = 29 ton

ℎ119908 = 1m

1198751198942= 45 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 12 ton



119889119898119886119909 = 013m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 225 ton

ℎ = 10m



Barranquilla




1198751198882= 11 ton119875prime119908 = 14 ton

ℎ119908 = 1m

1198751198942= 23 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 06 ton



119889119898119886119909 = 007m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 69 ton

ℎ = 10m







1198751198882

119875prime119908

ℎ119908 = 1m

1198751198942

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892

V

ℎ = 10m



Alto Cali 172 9 23 55 302 389






ℎ = 06m

119867119871 = 18m119875ℎ=

1

2γ119871 119867sup2119871 B = 19 ton






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



sismo

V=38 ton

V=38 ton











ACI 350M-06





h = Espesor muro mm


119878119889 =Ф119891119910

γ119891119904ge 10

γ =119862119886119903119892119886119904 119898119886119910119900119903119886119889119886119904

119862119886119903119892119886119904 sin119898119886119910119900119903119886119903

119891119904119898119886119909 =56000

β 1199042 + 4 50 +1198891198872

2

β=ℎminus119888

119889minus119888






119878119889 =Ф119891119910

γ119891119904ge 10 γ = 14 Sd =

Фfy

γfs= 09 420MPa

14 160MPa= 169

U = 169 14(D+F)




119878119889 =Ф119891119910

γ119891119904ge 10 γ = 13 Sd =

Фfy

γfs= 09 420MPa

13 160MPa= 182

U=182 12 D + F + T + 16 L + H + 05(Lr)


































1700 -2100 Kg msup31885 Kg msup3






Sika Fumereg











pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS





ANTECEDENTES






ANTECEDENTES

sismo

INCLUIDOS


ANTECEDENTES

Bogotaacute


Medelliacuten Cali





ANTECEDENTES

Manizales



Pereira Cartagena



441 ingenieros





ACI 350M-06






ACI 3502R-04


ACI 3503-06


AIS 180-13


AIS 180 ndash 13





EL ACI 350M-06






Circulares




Rectangulares








Superficiales






Enterrados





Semi-Enterrados






sismo

INCLUIDOS

EL ACI 3503-06



ACI 3502R-04


ACI 3503-06




D=Carga muerta


119875119886

119875ℎ=1

2γ119871 119867sup2119871 B (ton) 119875119886=

1

2γ Hsup2 119870119886 B (ton)

119867119871

H

119875ℎ

B=Ancho del tanque




Tanque o piscina

Sismo




Tomado de YouTube




(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

L

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888



L


(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888





Tomado de YouTube








L

119867119871

119901119907119910y


119875ℎ=1

2γ119871 119867sup2119871 B (ton)

119902ℎ119910= γ119871 (119867119871-y) (tonmsup2) 119901119907119910 = 119906119907 119902ℎ119910


(tonmsup2)

119875119907119875119907

Sismo



L


(Ton)



119875acute119908 = 119868 119862119894 ε119882acute119908

119877119894

120576 = 00151119871

119867119871

2minus 01908

119871

119867119871+ 1021 le 10

119875acute119908

119927acute119960


Peso de los muros



119862119894

119882acute119908

119877119894

119875acute119908

Sismo



L


(Ton)


119875119903 = 119868 119862119894119882119903

119877119894

119875119903

119927119955


Peso de la cubierta



119862119894

119882119903

119877119894

Sismo





119875119903

119875119890119892119875119890119892

1198751198942

1198751198882119875acute119908119875119907





V


M


119872119908 = 119875acute119908 ℎ119908 119872119903 = 119875119903 ℎ119903 119872119894= 119875119894ℎ119894 119872119888= 119875119888ℎ119888 119872119907= 119875119907ℎ119907 119872119890119892= 119875119890119892 ℎ119890119892

ℎ119908

ℎ119903

ℎ119894

ℎ119888ℎ119890119892ℎ119907



119875119903

119875119890119892119875119890119892119875acute119908


2 +119872sup2119862 +119872sup2119890119892 +119872sup2119907 (Ton-m)


MV










Documento aplicable



Cali






1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V



Bogotaacute




1198751198882= 14 ton

ℎ119908 = 25m

1198751198942= 56 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 13 ton

119875119903 = 108 ton



119889119898119886119909 = 023m

119875prime119908 = 10 ton


V



Barranquilla




1198751198882= 7 ton

ℎ119908 = 25m

1198751198942= 28 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 6 ton

119875119903 = 54 ton



119889119898119886119909 = 011m

119875prime119908 = 5 ton


V






119881 = 119875prime119908 + 119875119903 + 119875119894 sup2 + 119875sup2119888 + 119875sup2119907

1198751198882

119875prime119908

ℎ119908 = 25m

1198751198942

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907

ℎ119907 = 13m

119875119903

119889119898119886119909 = 043m

V



Alto Cali 212 54 25 18 207 441










1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V


119875ℎ=1

2γ119871 119867sup2119871 B = 160 ton

ℎ = 13m

ℎ119888 = 20m





119889119898119886119909= 119871

2119862119888119868 =

30119898

2x 0023 x 125 = 043m

119889119898119886119909 = 043m

119889119898119886119909 =119871

2119862119888 I




TANQUES Y PISCINAS




Cali






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



Bogotaacute




1198751198882= 24 ton119875prime119908 = 29 ton

ℎ119908 = 1m

1198751198942= 45 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 12 ton



119889119898119886119909 = 013m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 225 ton

ℎ = 10m



Barranquilla




1198751198882= 11 ton119875prime119908 = 14 ton

ℎ119908 = 1m

1198751198942= 23 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 06 ton



119889119898119886119909 = 007m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 69 ton

ℎ = 10m







1198751198882

119875prime119908

ℎ119908 = 1m

1198751198942

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892

V

ℎ = 10m



Alto Cali 172 9 23 55 302 389






ℎ = 06m

119867119871 = 18m119875ℎ=

1

2γ119871 119867sup2119871 B = 19 ton






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



sismo

V=38 ton

V=38 ton











ACI 350M-06





h = Espesor muro mm


119878119889 =Ф119891119910

γ119891119904ge 10

γ =119862119886119903119892119886119904 119898119886119910119900119903119886119889119886119904

119862119886119903119892119886119904 sin119898119886119910119900119903119886119903

119891119904119898119886119909 =56000

β 1199042 + 4 50 +1198891198872

2

β=ℎminus119888

119889minus119888






119878119889 =Ф119891119910

γ119891119904ge 10 γ = 14 Sd =

Фfy

γfs= 09 420MPa

14 160MPa= 169

U = 169 14(D+F)




119878119889 =Ф119891119910

γ119891119904ge 10 γ = 13 Sd =

Фfy

γfs= 09 420MPa

13 160MPa= 182

U=182 12 D + F + T + 16 L + H + 05(Lr)


































1700 -2100 Kg msup31885 Kg msup3






Sika Fumereg











pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS





ANTECEDENTES

sismo

INCLUIDOS


ANTECEDENTES

Bogotaacute


Medelliacuten Cali





ANTECEDENTES

Manizales



Pereira Cartagena



441 ingenieros





ACI 350M-06






ACI 3502R-04


ACI 3503-06


AIS 180-13


AIS 180 ndash 13





EL ACI 350M-06






Circulares




Rectangulares








Superficiales






Enterrados





Semi-Enterrados






sismo

INCLUIDOS

EL ACI 3503-06



ACI 3502R-04


ACI 3503-06




D=Carga muerta


119875119886

119875ℎ=1

2γ119871 119867sup2119871 B (ton) 119875119886=

1

2γ Hsup2 119870119886 B (ton)

119867119871

H

119875ℎ

B=Ancho del tanque




Tanque o piscina

Sismo




Tomado de YouTube




(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

L

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888



L


(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888





Tomado de YouTube








L

119867119871

119901119907119910y


119875ℎ=1

2γ119871 119867sup2119871 B (ton)

119902ℎ119910= γ119871 (119867119871-y) (tonmsup2) 119901119907119910 = 119906119907 119902ℎ119910


(tonmsup2)

119875119907119875119907

Sismo



L


(Ton)



119875acute119908 = 119868 119862119894 ε119882acute119908

119877119894

120576 = 00151119871

119867119871

2minus 01908

119871

119867119871+ 1021 le 10

119875acute119908

119927acute119960


Peso de los muros



119862119894

119882acute119908

119877119894

119875acute119908

Sismo



L


(Ton)


119875119903 = 119868 119862119894119882119903

119877119894

119875119903

119927119955


Peso de la cubierta



119862119894

119882119903

119877119894

Sismo





119875119903

119875119890119892119875119890119892

1198751198942

1198751198882119875acute119908119875119907





V


M


119872119908 = 119875acute119908 ℎ119908 119872119903 = 119875119903 ℎ119903 119872119894= 119875119894ℎ119894 119872119888= 119875119888ℎ119888 119872119907= 119875119907ℎ119907 119872119890119892= 119875119890119892 ℎ119890119892

ℎ119908

ℎ119903

ℎ119894

ℎ119888ℎ119890119892ℎ119907



119875119903

119875119890119892119875119890119892119875acute119908


2 +119872sup2119862 +119872sup2119890119892 +119872sup2119907 (Ton-m)


MV










Documento aplicable



Cali






1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V



Bogotaacute




1198751198882= 14 ton

ℎ119908 = 25m

1198751198942= 56 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 13 ton

119875119903 = 108 ton



119889119898119886119909 = 023m

119875prime119908 = 10 ton


V



Barranquilla




1198751198882= 7 ton

ℎ119908 = 25m

1198751198942= 28 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 6 ton

119875119903 = 54 ton



119889119898119886119909 = 011m

119875prime119908 = 5 ton


V






119881 = 119875prime119908 + 119875119903 + 119875119894 sup2 + 119875sup2119888 + 119875sup2119907

1198751198882

119875prime119908

ℎ119908 = 25m

1198751198942

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907

ℎ119907 = 13m

119875119903

119889119898119886119909 = 043m

V



Alto Cali 212 54 25 18 207 441










1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V


119875ℎ=1

2γ119871 119867sup2119871 B = 160 ton

ℎ = 13m

ℎ119888 = 20m





119889119898119886119909= 119871

2119862119888119868 =

30119898

2x 0023 x 125 = 043m

119889119898119886119909 = 043m

119889119898119886119909 =119871

2119862119888 I




TANQUES Y PISCINAS




Cali






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



Bogotaacute




1198751198882= 24 ton119875prime119908 = 29 ton

ℎ119908 = 1m

1198751198942= 45 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 12 ton



119889119898119886119909 = 013m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 225 ton

ℎ = 10m



Barranquilla




1198751198882= 11 ton119875prime119908 = 14 ton

ℎ119908 = 1m

1198751198942= 23 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 06 ton



119889119898119886119909 = 007m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 69 ton

ℎ = 10m







1198751198882

119875prime119908

ℎ119908 = 1m

1198751198942

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892

V

ℎ = 10m



Alto Cali 172 9 23 55 302 389






ℎ = 06m

119867119871 = 18m119875ℎ=

1

2γ119871 119867sup2119871 B = 19 ton






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



sismo

V=38 ton

V=38 ton











ACI 350M-06





h = Espesor muro mm


119878119889 =Ф119891119910

γ119891119904ge 10

γ =119862119886119903119892119886119904 119898119886119910119900119903119886119889119886119904

119862119886119903119892119886119904 sin119898119886119910119900119903119886119903

119891119904119898119886119909 =56000

β 1199042 + 4 50 +1198891198872

2

β=ℎminus119888

119889minus119888






119878119889 =Ф119891119910

γ119891119904ge 10 γ = 14 Sd =

Фfy

γfs= 09 420MPa

14 160MPa= 169

U = 169 14(D+F)




119878119889 =Ф119891119910

γ119891119904ge 10 γ = 13 Sd =

Фfy

γfs= 09 420MPa

13 160MPa= 182

U=182 12 D + F + T + 16 L + H + 05(Lr)


































1700 -2100 Kg msup31885 Kg msup3






Sika Fumereg











pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS





ANTECEDENTES

Bogotaacute


Medelliacuten Cali





ANTECEDENTES

Manizales



Pereira Cartagena



441 ingenieros





ACI 350M-06






ACI 3502R-04


ACI 3503-06


AIS 180-13


AIS 180 ndash 13





EL ACI 350M-06






Circulares




Rectangulares








Superficiales






Enterrados





Semi-Enterrados






sismo

INCLUIDOS

EL ACI 3503-06



ACI 3502R-04


ACI 3503-06




D=Carga muerta


119875119886

119875ℎ=1

2γ119871 119867sup2119871 B (ton) 119875119886=

1

2γ Hsup2 119870119886 B (ton)

119867119871

H

119875ℎ

B=Ancho del tanque




Tanque o piscina

Sismo




Tomado de YouTube




(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

L

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888



L


(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888





Tomado de YouTube








L

119867119871

119901119907119910y


119875ℎ=1

2γ119871 119867sup2119871 B (ton)

119902ℎ119910= γ119871 (119867119871-y) (tonmsup2) 119901119907119910 = 119906119907 119902ℎ119910


(tonmsup2)

119875119907119875119907

Sismo



L


(Ton)



119875acute119908 = 119868 119862119894 ε119882acute119908

119877119894

120576 = 00151119871

119867119871

2minus 01908

119871

119867119871+ 1021 le 10

119875acute119908

119927acute119960


Peso de los muros



119862119894

119882acute119908

119877119894

119875acute119908

Sismo



L


(Ton)


119875119903 = 119868 119862119894119882119903

119877119894

119875119903

119927119955


Peso de la cubierta



119862119894

119882119903

119877119894

Sismo





119875119903

119875119890119892119875119890119892

1198751198942

1198751198882119875acute119908119875119907





V


M


119872119908 = 119875acute119908 ℎ119908 119872119903 = 119875119903 ℎ119903 119872119894= 119875119894ℎ119894 119872119888= 119875119888ℎ119888 119872119907= 119875119907ℎ119907 119872119890119892= 119875119890119892 ℎ119890119892

ℎ119908

ℎ119903

ℎ119894

ℎ119888ℎ119890119892ℎ119907



119875119903

119875119890119892119875119890119892119875acute119908


2 +119872sup2119862 +119872sup2119890119892 +119872sup2119907 (Ton-m)


MV










Documento aplicable



Cali






1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V



Bogotaacute




1198751198882= 14 ton

ℎ119908 = 25m

1198751198942= 56 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 13 ton

119875119903 = 108 ton



119889119898119886119909 = 023m

119875prime119908 = 10 ton


V



Barranquilla




1198751198882= 7 ton

ℎ119908 = 25m

1198751198942= 28 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 6 ton

119875119903 = 54 ton



119889119898119886119909 = 011m

119875prime119908 = 5 ton


V






119881 = 119875prime119908 + 119875119903 + 119875119894 sup2 + 119875sup2119888 + 119875sup2119907

1198751198882

119875prime119908

ℎ119908 = 25m

1198751198942

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907

ℎ119907 = 13m

119875119903

119889119898119886119909 = 043m

V



Alto Cali 212 54 25 18 207 441










1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V


119875ℎ=1

2γ119871 119867sup2119871 B = 160 ton

ℎ = 13m

ℎ119888 = 20m





119889119898119886119909= 119871

2119862119888119868 =

30119898

2x 0023 x 125 = 043m

119889119898119886119909 = 043m

119889119898119886119909 =119871

2119862119888 I




TANQUES Y PISCINAS




Cali






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



Bogotaacute




1198751198882= 24 ton119875prime119908 = 29 ton

ℎ119908 = 1m

1198751198942= 45 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 12 ton



119889119898119886119909 = 013m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 225 ton

ℎ = 10m



Barranquilla




1198751198882= 11 ton119875prime119908 = 14 ton

ℎ119908 = 1m

1198751198942= 23 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 06 ton



119889119898119886119909 = 007m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 69 ton

ℎ = 10m







1198751198882

119875prime119908

ℎ119908 = 1m

1198751198942

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892

V

ℎ = 10m



Alto Cali 172 9 23 55 302 389






ℎ = 06m

119867119871 = 18m119875ℎ=

1

2γ119871 119867sup2119871 B = 19 ton






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



sismo

V=38 ton

V=38 ton











ACI 350M-06





h = Espesor muro mm


119878119889 =Ф119891119910

γ119891119904ge 10

γ =119862119886119903119892119886119904 119898119886119910119900119903119886119889119886119904

119862119886119903119892119886119904 sin119898119886119910119900119903119886119903

119891119904119898119886119909 =56000

β 1199042 + 4 50 +1198891198872

2

β=ℎminus119888

119889minus119888






119878119889 =Ф119891119910

γ119891119904ge 10 γ = 14 Sd =

Фfy

γfs= 09 420MPa

14 160MPa= 169

U = 169 14(D+F)




119878119889 =Ф119891119910

γ119891119904ge 10 γ = 13 Sd =

Фfy

γfs= 09 420MPa

13 160MPa= 182

U=182 12 D + F + T + 16 L + H + 05(Lr)


































1700 -2100 Kg msup31885 Kg msup3






Sika Fumereg











pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS





ANTECEDENTES

Manizales



Pereira Cartagena



441 ingenieros





ACI 350M-06






ACI 3502R-04


ACI 3503-06


AIS 180-13


AIS 180 ndash 13





EL ACI 350M-06






Circulares




Rectangulares








Superficiales






Enterrados





Semi-Enterrados






sismo

INCLUIDOS

EL ACI 3503-06



ACI 3502R-04


ACI 3503-06




D=Carga muerta


119875119886

119875ℎ=1

2γ119871 119867sup2119871 B (ton) 119875119886=

1

2γ Hsup2 119870119886 B (ton)

119867119871

H

119875ℎ

B=Ancho del tanque




Tanque o piscina

Sismo




Tomado de YouTube




(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

L

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888



L


(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888





Tomado de YouTube








L

119867119871

119901119907119910y


119875ℎ=1

2γ119871 119867sup2119871 B (ton)

119902ℎ119910= γ119871 (119867119871-y) (tonmsup2) 119901119907119910 = 119906119907 119902ℎ119910


(tonmsup2)

119875119907119875119907

Sismo



L


(Ton)



119875acute119908 = 119868 119862119894 ε119882acute119908

119877119894

120576 = 00151119871

119867119871

2minus 01908

119871

119867119871+ 1021 le 10

119875acute119908

119927acute119960


Peso de los muros



119862119894

119882acute119908

119877119894

119875acute119908

Sismo



L


(Ton)


119875119903 = 119868 119862119894119882119903

119877119894

119875119903

119927119955


Peso de la cubierta



119862119894

119882119903

119877119894

Sismo





119875119903

119875119890119892119875119890119892

1198751198942

1198751198882119875acute119908119875119907





V


M


119872119908 = 119875acute119908 ℎ119908 119872119903 = 119875119903 ℎ119903 119872119894= 119875119894ℎ119894 119872119888= 119875119888ℎ119888 119872119907= 119875119907ℎ119907 119872119890119892= 119875119890119892 ℎ119890119892

ℎ119908

ℎ119903

ℎ119894

ℎ119888ℎ119890119892ℎ119907



119875119903

119875119890119892119875119890119892119875acute119908


2 +119872sup2119862 +119872sup2119890119892 +119872sup2119907 (Ton-m)


MV










Documento aplicable



Cali






1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V



Bogotaacute




1198751198882= 14 ton

ℎ119908 = 25m

1198751198942= 56 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 13 ton

119875119903 = 108 ton



119889119898119886119909 = 023m

119875prime119908 = 10 ton


V



Barranquilla




1198751198882= 7 ton

ℎ119908 = 25m

1198751198942= 28 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 6 ton

119875119903 = 54 ton



119889119898119886119909 = 011m

119875prime119908 = 5 ton


V






119881 = 119875prime119908 + 119875119903 + 119875119894 sup2 + 119875sup2119888 + 119875sup2119907

1198751198882

119875prime119908

ℎ119908 = 25m

1198751198942

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907

ℎ119907 = 13m

119875119903

119889119898119886119909 = 043m

V



Alto Cali 212 54 25 18 207 441










1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V


119875ℎ=1

2γ119871 119867sup2119871 B = 160 ton

ℎ = 13m

ℎ119888 = 20m





119889119898119886119909= 119871

2119862119888119868 =

30119898

2x 0023 x 125 = 043m

119889119898119886119909 = 043m

119889119898119886119909 =119871

2119862119888 I




TANQUES Y PISCINAS




Cali






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



Bogotaacute




1198751198882= 24 ton119875prime119908 = 29 ton

ℎ119908 = 1m

1198751198942= 45 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 12 ton



119889119898119886119909 = 013m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 225 ton

ℎ = 10m



Barranquilla




1198751198882= 11 ton119875prime119908 = 14 ton

ℎ119908 = 1m

1198751198942= 23 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 06 ton



119889119898119886119909 = 007m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 69 ton

ℎ = 10m







1198751198882

119875prime119908

ℎ119908 = 1m

1198751198942

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892

V

ℎ = 10m



Alto Cali 172 9 23 55 302 389






ℎ = 06m

119867119871 = 18m119875ℎ=

1

2γ119871 119867sup2119871 B = 19 ton






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



sismo

V=38 ton

V=38 ton











ACI 350M-06





h = Espesor muro mm


119878119889 =Ф119891119910

γ119891119904ge 10

γ =119862119886119903119892119886119904 119898119886119910119900119903119886119889119886119904

119862119886119903119892119886119904 sin119898119886119910119900119903119886119903

119891119904119898119886119909 =56000

β 1199042 + 4 50 +1198891198872

2

β=ℎminus119888

119889minus119888






119878119889 =Ф119891119910

γ119891119904ge 10 γ = 14 Sd =

Фfy

γfs= 09 420MPa

14 160MPa= 169

U = 169 14(D+F)




119878119889 =Ф119891119910

γ119891119904ge 10 γ = 13 Sd =

Фfy

γfs= 09 420MPa

13 160MPa= 182

U=182 12 D + F + T + 16 L + H + 05(Lr)


































1700 -2100 Kg msup31885 Kg msup3






Sika Fumereg











pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS








ACI 350M-06






ACI 3502R-04


ACI 3503-06


AIS 180-13


AIS 180 ndash 13





EL ACI 350M-06






Circulares




Rectangulares








Superficiales






Enterrados





Semi-Enterrados






sismo

INCLUIDOS

EL ACI 3503-06



ACI 3502R-04


ACI 3503-06




D=Carga muerta


119875119886

119875ℎ=1

2γ119871 119867sup2119871 B (ton) 119875119886=

1

2γ Hsup2 119870119886 B (ton)

119867119871

H

119875ℎ

B=Ancho del tanque




Tanque o piscina

Sismo




Tomado de YouTube




(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

L

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888



L


(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888





Tomado de YouTube








L

119867119871

119901119907119910y


119875ℎ=1

2γ119871 119867sup2119871 B (ton)

119902ℎ119910= γ119871 (119867119871-y) (tonmsup2) 119901119907119910 = 119906119907 119902ℎ119910


(tonmsup2)

119875119907119875119907

Sismo



L


(Ton)



119875acute119908 = 119868 119862119894 ε119882acute119908

119877119894

120576 = 00151119871

119867119871

2minus 01908

119871

119867119871+ 1021 le 10

119875acute119908

119927acute119960


Peso de los muros



119862119894

119882acute119908

119877119894

119875acute119908

Sismo



L


(Ton)


119875119903 = 119868 119862119894119882119903

119877119894

119875119903

119927119955


Peso de la cubierta



119862119894

119882119903

119877119894

Sismo





119875119903

119875119890119892119875119890119892

1198751198942

1198751198882119875acute119908119875119907





V


M


119872119908 = 119875acute119908 ℎ119908 119872119903 = 119875119903 ℎ119903 119872119894= 119875119894ℎ119894 119872119888= 119875119888ℎ119888 119872119907= 119875119907ℎ119907 119872119890119892= 119875119890119892 ℎ119890119892

ℎ119908

ℎ119903

ℎ119894

ℎ119888ℎ119890119892ℎ119907



119875119903

119875119890119892119875119890119892119875acute119908


2 +119872sup2119862 +119872sup2119890119892 +119872sup2119907 (Ton-m)


MV










Documento aplicable



Cali






1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V



Bogotaacute




1198751198882= 14 ton

ℎ119908 = 25m

1198751198942= 56 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 13 ton

119875119903 = 108 ton



119889119898119886119909 = 023m

119875prime119908 = 10 ton


V



Barranquilla




1198751198882= 7 ton

ℎ119908 = 25m

1198751198942= 28 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 6 ton

119875119903 = 54 ton



119889119898119886119909 = 011m

119875prime119908 = 5 ton


V






119881 = 119875prime119908 + 119875119903 + 119875119894 sup2 + 119875sup2119888 + 119875sup2119907

1198751198882

119875prime119908

ℎ119908 = 25m

1198751198942

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907

ℎ119907 = 13m

119875119903

119889119898119886119909 = 043m

V



Alto Cali 212 54 25 18 207 441










1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V


119875ℎ=1

2γ119871 119867sup2119871 B = 160 ton

ℎ = 13m

ℎ119888 = 20m





119889119898119886119909= 119871

2119862119888119868 =

30119898

2x 0023 x 125 = 043m

119889119898119886119909 = 043m

119889119898119886119909 =119871

2119862119888 I




TANQUES Y PISCINAS




Cali






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



Bogotaacute




1198751198882= 24 ton119875prime119908 = 29 ton

ℎ119908 = 1m

1198751198942= 45 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 12 ton



119889119898119886119909 = 013m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 225 ton

ℎ = 10m



Barranquilla




1198751198882= 11 ton119875prime119908 = 14 ton

ℎ119908 = 1m

1198751198942= 23 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 06 ton



119889119898119886119909 = 007m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 69 ton

ℎ = 10m







1198751198882

119875prime119908

ℎ119908 = 1m

1198751198942

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892

V

ℎ = 10m



Alto Cali 172 9 23 55 302 389






ℎ = 06m

119867119871 = 18m119875ℎ=

1

2γ119871 119867sup2119871 B = 19 ton






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



sismo

V=38 ton

V=38 ton











ACI 350M-06





h = Espesor muro mm


119878119889 =Ф119891119910

γ119891119904ge 10

γ =119862119886119903119892119886119904 119898119886119910119900119903119886119889119886119904

119862119886119903119892119886119904 sin119898119886119910119900119903119886119903

119891119904119898119886119909 =56000

β 1199042 + 4 50 +1198891198872

2

β=ℎminus119888

119889minus119888






119878119889 =Ф119891119910

γ119891119904ge 10 γ = 14 Sd =

Фfy

γfs= 09 420MPa

14 160MPa= 169

U = 169 14(D+F)




119878119889 =Ф119891119910

γ119891119904ge 10 γ = 13 Sd =

Фfy

γfs= 09 420MPa

13 160MPa= 182

U=182 12 D + F + T + 16 L + H + 05(Lr)


































1700 -2100 Kg msup31885 Kg msup3






Sika Fumereg











pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS





ACI 3502R-04


ACI 3503-06


AIS 180-13


AIS 180 ndash 13





EL ACI 350M-06






Circulares




Rectangulares








Superficiales






Enterrados





Semi-Enterrados






sismo

INCLUIDOS

EL ACI 3503-06



ACI 3502R-04


ACI 3503-06




D=Carga muerta


119875119886

119875ℎ=1

2γ119871 119867sup2119871 B (ton) 119875119886=

1

2γ Hsup2 119870119886 B (ton)

119867119871

H

119875ℎ

B=Ancho del tanque




Tanque o piscina

Sismo




Tomado de YouTube




(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

L

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888



L


(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888





Tomado de YouTube








L

119867119871

119901119907119910y


119875ℎ=1

2γ119871 119867sup2119871 B (ton)

119902ℎ119910= γ119871 (119867119871-y) (tonmsup2) 119901119907119910 = 119906119907 119902ℎ119910


(tonmsup2)

119875119907119875119907

Sismo



L


(Ton)



119875acute119908 = 119868 119862119894 ε119882acute119908

119877119894

120576 = 00151119871

119867119871

2minus 01908

119871

119867119871+ 1021 le 10

119875acute119908

119927acute119960


Peso de los muros



119862119894

119882acute119908

119877119894

119875acute119908

Sismo



L


(Ton)


119875119903 = 119868 119862119894119882119903

119877119894

119875119903

119927119955


Peso de la cubierta



119862119894

119882119903

119877119894

Sismo





119875119903

119875119890119892119875119890119892

1198751198942

1198751198882119875acute119908119875119907





V


M


119872119908 = 119875acute119908 ℎ119908 119872119903 = 119875119903 ℎ119903 119872119894= 119875119894ℎ119894 119872119888= 119875119888ℎ119888 119872119907= 119875119907ℎ119907 119872119890119892= 119875119890119892 ℎ119890119892

ℎ119908

ℎ119903

ℎ119894

ℎ119888ℎ119890119892ℎ119907



119875119903

119875119890119892119875119890119892119875acute119908


2 +119872sup2119862 +119872sup2119890119892 +119872sup2119907 (Ton-m)


MV










Documento aplicable



Cali






1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V



Bogotaacute




1198751198882= 14 ton

ℎ119908 = 25m

1198751198942= 56 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 13 ton

119875119903 = 108 ton



119889119898119886119909 = 023m

119875prime119908 = 10 ton


V



Barranquilla




1198751198882= 7 ton

ℎ119908 = 25m

1198751198942= 28 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 6 ton

119875119903 = 54 ton



119889119898119886119909 = 011m

119875prime119908 = 5 ton


V






119881 = 119875prime119908 + 119875119903 + 119875119894 sup2 + 119875sup2119888 + 119875sup2119907

1198751198882

119875prime119908

ℎ119908 = 25m

1198751198942

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907

ℎ119907 = 13m

119875119903

119889119898119886119909 = 043m

V



Alto Cali 212 54 25 18 207 441










1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V


119875ℎ=1

2γ119871 119867sup2119871 B = 160 ton

ℎ = 13m

ℎ119888 = 20m





119889119898119886119909= 119871

2119862119888119868 =

30119898

2x 0023 x 125 = 043m

119889119898119886119909 = 043m

119889119898119886119909 =119871

2119862119888 I




TANQUES Y PISCINAS




Cali






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



Bogotaacute




1198751198882= 24 ton119875prime119908 = 29 ton

ℎ119908 = 1m

1198751198942= 45 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 12 ton



119889119898119886119909 = 013m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 225 ton

ℎ = 10m



Barranquilla




1198751198882= 11 ton119875prime119908 = 14 ton

ℎ119908 = 1m

1198751198942= 23 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 06 ton



119889119898119886119909 = 007m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 69 ton

ℎ = 10m







1198751198882

119875prime119908

ℎ119908 = 1m

1198751198942

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892

V

ℎ = 10m



Alto Cali 172 9 23 55 302 389






ℎ = 06m

119867119871 = 18m119875ℎ=

1

2γ119871 119867sup2119871 B = 19 ton






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



sismo

V=38 ton

V=38 ton











ACI 350M-06





h = Espesor muro mm


119878119889 =Ф119891119910

γ119891119904ge 10

γ =119862119886119903119892119886119904 119898119886119910119900119903119886119889119886119904

119862119886119903119892119886119904 sin119898119886119910119900119903119886119903

119891119904119898119886119909 =56000

β 1199042 + 4 50 +1198891198872

2

β=ℎminus119888

119889minus119888






119878119889 =Ф119891119910

γ119891119904ge 10 γ = 14 Sd =

Фfy

γfs= 09 420MPa

14 160MPa= 169

U = 169 14(D+F)




119878119889 =Ф119891119910

γ119891119904ge 10 γ = 13 Sd =

Фfy

γfs= 09 420MPa

13 160MPa= 182

U=182 12 D + F + T + 16 L + H + 05(Lr)


































1700 -2100 Kg msup31885 Kg msup3






Sika Fumereg











pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS





AIS 180-13


AIS 180 ndash 13





EL ACI 350M-06






Circulares




Rectangulares








Superficiales






Enterrados





Semi-Enterrados






sismo

INCLUIDOS

EL ACI 3503-06



ACI 3502R-04


ACI 3503-06




D=Carga muerta


119875119886

119875ℎ=1

2γ119871 119867sup2119871 B (ton) 119875119886=

1

2γ Hsup2 119870119886 B (ton)

119867119871

H

119875ℎ

B=Ancho del tanque




Tanque o piscina

Sismo




Tomado de YouTube




(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

L

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888



L


(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888





Tomado de YouTube








L

119867119871

119901119907119910y


119875ℎ=1

2γ119871 119867sup2119871 B (ton)

119902ℎ119910= γ119871 (119867119871-y) (tonmsup2) 119901119907119910 = 119906119907 119902ℎ119910


(tonmsup2)

119875119907119875119907

Sismo



L


(Ton)



119875acute119908 = 119868 119862119894 ε119882acute119908

119877119894

120576 = 00151119871

119867119871

2minus 01908

119871

119867119871+ 1021 le 10

119875acute119908

119927acute119960


Peso de los muros



119862119894

119882acute119908

119877119894

119875acute119908

Sismo



L


(Ton)


119875119903 = 119868 119862119894119882119903

119877119894

119875119903

119927119955


Peso de la cubierta



119862119894

119882119903

119877119894

Sismo





119875119903

119875119890119892119875119890119892

1198751198942

1198751198882119875acute119908119875119907





V


M


119872119908 = 119875acute119908 ℎ119908 119872119903 = 119875119903 ℎ119903 119872119894= 119875119894ℎ119894 119872119888= 119875119888ℎ119888 119872119907= 119875119907ℎ119907 119872119890119892= 119875119890119892 ℎ119890119892

ℎ119908

ℎ119903

ℎ119894

ℎ119888ℎ119890119892ℎ119907



119875119903

119875119890119892119875119890119892119875acute119908


2 +119872sup2119862 +119872sup2119890119892 +119872sup2119907 (Ton-m)


MV










Documento aplicable



Cali






1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V



Bogotaacute




1198751198882= 14 ton

ℎ119908 = 25m

1198751198942= 56 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 13 ton

119875119903 = 108 ton



119889119898119886119909 = 023m

119875prime119908 = 10 ton


V



Barranquilla




1198751198882= 7 ton

ℎ119908 = 25m

1198751198942= 28 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 6 ton

119875119903 = 54 ton



119889119898119886119909 = 011m

119875prime119908 = 5 ton


V






119881 = 119875prime119908 + 119875119903 + 119875119894 sup2 + 119875sup2119888 + 119875sup2119907

1198751198882

119875prime119908

ℎ119908 = 25m

1198751198942

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907

ℎ119907 = 13m

119875119903

119889119898119886119909 = 043m

V



Alto Cali 212 54 25 18 207 441










1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V


119875ℎ=1

2γ119871 119867sup2119871 B = 160 ton

ℎ = 13m

ℎ119888 = 20m





119889119898119886119909= 119871

2119862119888119868 =

30119898

2x 0023 x 125 = 043m

119889119898119886119909 = 043m

119889119898119886119909 =119871

2119862119888 I




TANQUES Y PISCINAS




Cali






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



Bogotaacute




1198751198882= 24 ton119875prime119908 = 29 ton

ℎ119908 = 1m

1198751198942= 45 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 12 ton



119889119898119886119909 = 013m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 225 ton

ℎ = 10m



Barranquilla




1198751198882= 11 ton119875prime119908 = 14 ton

ℎ119908 = 1m

1198751198942= 23 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 06 ton



119889119898119886119909 = 007m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 69 ton

ℎ = 10m







1198751198882

119875prime119908

ℎ119908 = 1m

1198751198942

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892

V

ℎ = 10m



Alto Cali 172 9 23 55 302 389






ℎ = 06m

119867119871 = 18m119875ℎ=

1

2γ119871 119867sup2119871 B = 19 ton






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



sismo

V=38 ton

V=38 ton











ACI 350M-06





h = Espesor muro mm


119878119889 =Ф119891119910

γ119891119904ge 10

γ =119862119886119903119892119886119904 119898119886119910119900119903119886119889119886119904

119862119886119903119892119886119904 sin119898119886119910119900119903119886119903

119891119904119898119886119909 =56000

β 1199042 + 4 50 +1198891198872

2

β=ℎminus119888

119889minus119888






119878119889 =Ф119891119910

γ119891119904ge 10 γ = 14 Sd =

Фfy

γfs= 09 420MPa

14 160MPa= 169

U = 169 14(D+F)




119878119889 =Ф119891119910

γ119891119904ge 10 γ = 13 Sd =

Фfy

γfs= 09 420MPa

13 160MPa= 182

U=182 12 D + F + T + 16 L + H + 05(Lr)


































1700 -2100 Kg msup31885 Kg msup3






Sika Fumereg











pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS




EL ACI 350M-06






Circulares




Rectangulares








Superficiales






Enterrados





Semi-Enterrados






sismo

INCLUIDOS

EL ACI 3503-06



ACI 3502R-04


ACI 3503-06




D=Carga muerta


119875119886

119875ℎ=1

2γ119871 119867sup2119871 B (ton) 119875119886=

1

2γ Hsup2 119870119886 B (ton)

119867119871

H

119875ℎ

B=Ancho del tanque




Tanque o piscina

Sismo




Tomado de YouTube




(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

L

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888



L


(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888





Tomado de YouTube








L

119867119871

119901119907119910y


119875ℎ=1

2γ119871 119867sup2119871 B (ton)

119902ℎ119910= γ119871 (119867119871-y) (tonmsup2) 119901119907119910 = 119906119907 119902ℎ119910


(tonmsup2)

119875119907119875119907

Sismo



L


(Ton)



119875acute119908 = 119868 119862119894 ε119882acute119908

119877119894

120576 = 00151119871

119867119871

2minus 01908

119871

119867119871+ 1021 le 10

119875acute119908

119927acute119960


Peso de los muros



119862119894

119882acute119908

119877119894

119875acute119908

Sismo



L


(Ton)


119875119903 = 119868 119862119894119882119903

119877119894

119875119903

119927119955


Peso de la cubierta



119862119894

119882119903

119877119894

Sismo





119875119903

119875119890119892119875119890119892

1198751198942

1198751198882119875acute119908119875119907





V


M


119872119908 = 119875acute119908 ℎ119908 119872119903 = 119875119903 ℎ119903 119872119894= 119875119894ℎ119894 119872119888= 119875119888ℎ119888 119872119907= 119875119907ℎ119907 119872119890119892= 119875119890119892 ℎ119890119892

ℎ119908

ℎ119903

ℎ119894

ℎ119888ℎ119890119892ℎ119907



119875119903

119875119890119892119875119890119892119875acute119908


2 +119872sup2119862 +119872sup2119890119892 +119872sup2119907 (Ton-m)


MV










Documento aplicable



Cali






1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V



Bogotaacute




1198751198882= 14 ton

ℎ119908 = 25m

1198751198942= 56 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 13 ton

119875119903 = 108 ton



119889119898119886119909 = 023m

119875prime119908 = 10 ton


V



Barranquilla




1198751198882= 7 ton

ℎ119908 = 25m

1198751198942= 28 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 6 ton

119875119903 = 54 ton



119889119898119886119909 = 011m

119875prime119908 = 5 ton


V






119881 = 119875prime119908 + 119875119903 + 119875119894 sup2 + 119875sup2119888 + 119875sup2119907

1198751198882

119875prime119908

ℎ119908 = 25m

1198751198942

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907

ℎ119907 = 13m

119875119903

119889119898119886119909 = 043m

V



Alto Cali 212 54 25 18 207 441










1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V


119875ℎ=1

2γ119871 119867sup2119871 B = 160 ton

ℎ = 13m

ℎ119888 = 20m





119889119898119886119909= 119871

2119862119888119868 =

30119898

2x 0023 x 125 = 043m

119889119898119886119909 = 043m

119889119898119886119909 =119871

2119862119888 I




TANQUES Y PISCINAS




Cali






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



Bogotaacute




1198751198882= 24 ton119875prime119908 = 29 ton

ℎ119908 = 1m

1198751198942= 45 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 12 ton



119889119898119886119909 = 013m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 225 ton

ℎ = 10m



Barranquilla




1198751198882= 11 ton119875prime119908 = 14 ton

ℎ119908 = 1m

1198751198942= 23 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 06 ton



119889119898119886119909 = 007m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 69 ton

ℎ = 10m







1198751198882

119875prime119908

ℎ119908 = 1m

1198751198942

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892

V

ℎ = 10m



Alto Cali 172 9 23 55 302 389






ℎ = 06m

119867119871 = 18m119875ℎ=

1

2γ119871 119867sup2119871 B = 19 ton






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



sismo

V=38 ton

V=38 ton











ACI 350M-06





h = Espesor muro mm


119878119889 =Ф119891119910

γ119891119904ge 10

γ =119862119886119903119892119886119904 119898119886119910119900119903119886119889119886119904

119862119886119903119892119886119904 sin119898119886119910119900119903119886119903

119891119904119898119886119909 =56000

β 1199042 + 4 50 +1198891198872

2

β=ℎminus119888

119889minus119888






119878119889 =Ф119891119910

γ119891119904ge 10 γ = 14 Sd =

Фfy

γfs= 09 420MPa

14 160MPa= 169

U = 169 14(D+F)




119878119889 =Ф119891119910

γ119891119904ge 10 γ = 13 Sd =

Фfy

γfs= 09 420MPa

13 160MPa= 182

U=182 12 D + F + T + 16 L + H + 05(Lr)


































1700 -2100 Kg msup31885 Kg msup3






Sika Fumereg











pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS








Circulares




Rectangulares








Superficiales






Enterrados





Semi-Enterrados






sismo

INCLUIDOS

EL ACI 3503-06



ACI 3502R-04


ACI 3503-06




D=Carga muerta


119875119886

119875ℎ=1

2γ119871 119867sup2119871 B (ton) 119875119886=

1

2γ Hsup2 119870119886 B (ton)

119867119871

H

119875ℎ

B=Ancho del tanque




Tanque o piscina

Sismo




Tomado de YouTube




(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

L

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888



L


(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888





Tomado de YouTube








L

119867119871

119901119907119910y


119875ℎ=1

2γ119871 119867sup2119871 B (ton)

119902ℎ119910= γ119871 (119867119871-y) (tonmsup2) 119901119907119910 = 119906119907 119902ℎ119910


(tonmsup2)

119875119907119875119907

Sismo



L


(Ton)



119875acute119908 = 119868 119862119894 ε119882acute119908

119877119894

120576 = 00151119871

119867119871

2minus 01908

119871

119867119871+ 1021 le 10

119875acute119908

119927acute119960


Peso de los muros



119862119894

119882acute119908

119877119894

119875acute119908

Sismo



L


(Ton)


119875119903 = 119868 119862119894119882119903

119877119894

119875119903

119927119955


Peso de la cubierta



119862119894

119882119903

119877119894

Sismo





119875119903

119875119890119892119875119890119892

1198751198942

1198751198882119875acute119908119875119907





V


M


119872119908 = 119875acute119908 ℎ119908 119872119903 = 119875119903 ℎ119903 119872119894= 119875119894ℎ119894 119872119888= 119875119888ℎ119888 119872119907= 119875119907ℎ119907 119872119890119892= 119875119890119892 ℎ119890119892

ℎ119908

ℎ119903

ℎ119894

ℎ119888ℎ119890119892ℎ119907



119875119903

119875119890119892119875119890119892119875acute119908


2 +119872sup2119862 +119872sup2119890119892 +119872sup2119907 (Ton-m)


MV










Documento aplicable



Cali






1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V



Bogotaacute




1198751198882= 14 ton

ℎ119908 = 25m

1198751198942= 56 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 13 ton

119875119903 = 108 ton



119889119898119886119909 = 023m

119875prime119908 = 10 ton


V



Barranquilla




1198751198882= 7 ton

ℎ119908 = 25m

1198751198942= 28 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 6 ton

119875119903 = 54 ton



119889119898119886119909 = 011m

119875prime119908 = 5 ton


V






119881 = 119875prime119908 + 119875119903 + 119875119894 sup2 + 119875sup2119888 + 119875sup2119907

1198751198882

119875prime119908

ℎ119908 = 25m

1198751198942

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907

ℎ119907 = 13m

119875119903

119889119898119886119909 = 043m

V



Alto Cali 212 54 25 18 207 441










1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V


119875ℎ=1

2γ119871 119867sup2119871 B = 160 ton

ℎ = 13m

ℎ119888 = 20m





119889119898119886119909= 119871

2119862119888119868 =

30119898

2x 0023 x 125 = 043m

119889119898119886119909 = 043m

119889119898119886119909 =119871

2119862119888 I




TANQUES Y PISCINAS




Cali






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



Bogotaacute




1198751198882= 24 ton119875prime119908 = 29 ton

ℎ119908 = 1m

1198751198942= 45 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 12 ton



119889119898119886119909 = 013m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 225 ton

ℎ = 10m



Barranquilla




1198751198882= 11 ton119875prime119908 = 14 ton

ℎ119908 = 1m

1198751198942= 23 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 06 ton



119889119898119886119909 = 007m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 69 ton

ℎ = 10m







1198751198882

119875prime119908

ℎ119908 = 1m

1198751198942

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892

V

ℎ = 10m



Alto Cali 172 9 23 55 302 389






ℎ = 06m

119867119871 = 18m119875ℎ=

1

2γ119871 119867sup2119871 B = 19 ton






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



sismo

V=38 ton

V=38 ton











ACI 350M-06





h = Espesor muro mm


119878119889 =Ф119891119910

γ119891119904ge 10

γ =119862119886119903119892119886119904 119898119886119910119900119903119886119889119886119904

119862119886119903119892119886119904 sin119898119886119910119900119903119886119903

119891119904119898119886119909 =56000

β 1199042 + 4 50 +1198891198872

2

β=ℎminus119888

119889minus119888






119878119889 =Ф119891119910

γ119891119904ge 10 γ = 14 Sd =

Фfy

γfs= 09 420MPa

14 160MPa= 169

U = 169 14(D+F)




119878119889 =Ф119891119910

γ119891119904ge 10 γ = 13 Sd =

Фfy

γfs= 09 420MPa

13 160MPa= 182

U=182 12 D + F + T + 16 L + H + 05(Lr)


































1700 -2100 Kg msup31885 Kg msup3






Sika Fumereg











pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS











Superficiales






Enterrados





Semi-Enterrados






sismo

INCLUIDOS

EL ACI 3503-06



ACI 3502R-04


ACI 3503-06




D=Carga muerta


119875119886

119875ℎ=1

2γ119871 119867sup2119871 B (ton) 119875119886=

1

2γ Hsup2 119870119886 B (ton)

119867119871

H

119875ℎ

B=Ancho del tanque




Tanque o piscina

Sismo




Tomado de YouTube




(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

L

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888



L


(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888





Tomado de YouTube








L

119867119871

119901119907119910y


119875ℎ=1

2γ119871 119867sup2119871 B (ton)

119902ℎ119910= γ119871 (119867119871-y) (tonmsup2) 119901119907119910 = 119906119907 119902ℎ119910


(tonmsup2)

119875119907119875119907

Sismo



L


(Ton)



119875acute119908 = 119868 119862119894 ε119882acute119908

119877119894

120576 = 00151119871

119867119871

2minus 01908

119871

119867119871+ 1021 le 10

119875acute119908

119927acute119960


Peso de los muros



119862119894

119882acute119908

119877119894

119875acute119908

Sismo



L


(Ton)


119875119903 = 119868 119862119894119882119903

119877119894

119875119903

119927119955


Peso de la cubierta



119862119894

119882119903

119877119894

Sismo





119875119903

119875119890119892119875119890119892

1198751198942

1198751198882119875acute119908119875119907





V


M


119872119908 = 119875acute119908 ℎ119908 119872119903 = 119875119903 ℎ119903 119872119894= 119875119894ℎ119894 119872119888= 119875119888ℎ119888 119872119907= 119875119907ℎ119907 119872119890119892= 119875119890119892 ℎ119890119892

ℎ119908

ℎ119903

ℎ119894

ℎ119888ℎ119890119892ℎ119907



119875119903

119875119890119892119875119890119892119875acute119908


2 +119872sup2119862 +119872sup2119890119892 +119872sup2119907 (Ton-m)


MV










Documento aplicable



Cali






1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V



Bogotaacute




1198751198882= 14 ton

ℎ119908 = 25m

1198751198942= 56 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 13 ton

119875119903 = 108 ton



119889119898119886119909 = 023m

119875prime119908 = 10 ton


V



Barranquilla




1198751198882= 7 ton

ℎ119908 = 25m

1198751198942= 28 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 6 ton

119875119903 = 54 ton



119889119898119886119909 = 011m

119875prime119908 = 5 ton


V






119881 = 119875prime119908 + 119875119903 + 119875119894 sup2 + 119875sup2119888 + 119875sup2119907

1198751198882

119875prime119908

ℎ119908 = 25m

1198751198942

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907

ℎ119907 = 13m

119875119903

119889119898119886119909 = 043m

V



Alto Cali 212 54 25 18 207 441










1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V


119875ℎ=1

2γ119871 119867sup2119871 B = 160 ton

ℎ = 13m

ℎ119888 = 20m





119889119898119886119909= 119871

2119862119888119868 =

30119898

2x 0023 x 125 = 043m

119889119898119886119909 = 043m

119889119898119886119909 =119871

2119862119888 I




TANQUES Y PISCINAS




Cali






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



Bogotaacute




1198751198882= 24 ton119875prime119908 = 29 ton

ℎ119908 = 1m

1198751198942= 45 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 12 ton



119889119898119886119909 = 013m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 225 ton

ℎ = 10m



Barranquilla




1198751198882= 11 ton119875prime119908 = 14 ton

ℎ119908 = 1m

1198751198942= 23 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 06 ton



119889119898119886119909 = 007m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 69 ton

ℎ = 10m







1198751198882

119875prime119908

ℎ119908 = 1m

1198751198942

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892

V

ℎ = 10m



Alto Cali 172 9 23 55 302 389






ℎ = 06m

119867119871 = 18m119875ℎ=

1

2γ119871 119867sup2119871 B = 19 ton






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



sismo

V=38 ton

V=38 ton











ACI 350M-06





h = Espesor muro mm


119878119889 =Ф119891119910

γ119891119904ge 10

γ =119862119886119903119892119886119904 119898119886119910119900119903119886119889119886119904

119862119886119903119892119886119904 sin119898119886119910119900119903119886119903

119891119904119898119886119909 =56000

β 1199042 + 4 50 +1198891198872

2

β=ℎminus119888

119889minus119888






119878119889 =Ф119891119910

γ119891119904ge 10 γ = 14 Sd =

Фfy

γfs= 09 420MPa

14 160MPa= 169

U = 169 14(D+F)




119878119889 =Ф119891119910

γ119891119904ge 10 γ = 13 Sd =

Фfy

γfs= 09 420MPa

13 160MPa= 182

U=182 12 D + F + T + 16 L + H + 05(Lr)


































1700 -2100 Kg msup31885 Kg msup3






Sika Fumereg











pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS






Enterrados





Semi-Enterrados






sismo

INCLUIDOS

EL ACI 3503-06



ACI 3502R-04


ACI 3503-06




D=Carga muerta


119875119886

119875ℎ=1

2γ119871 119867sup2119871 B (ton) 119875119886=

1

2γ Hsup2 119870119886 B (ton)

119867119871

H

119875ℎ

B=Ancho del tanque




Tanque o piscina

Sismo




Tomado de YouTube




(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

L

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888



L


(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888





Tomado de YouTube








L

119867119871

119901119907119910y


119875ℎ=1

2γ119871 119867sup2119871 B (ton)

119902ℎ119910= γ119871 (119867119871-y) (tonmsup2) 119901119907119910 = 119906119907 119902ℎ119910


(tonmsup2)

119875119907119875119907

Sismo



L


(Ton)



119875acute119908 = 119868 119862119894 ε119882acute119908

119877119894

120576 = 00151119871

119867119871

2minus 01908

119871

119867119871+ 1021 le 10

119875acute119908

119927acute119960


Peso de los muros



119862119894

119882acute119908

119877119894

119875acute119908

Sismo



L


(Ton)


119875119903 = 119868 119862119894119882119903

119877119894

119875119903

119927119955


Peso de la cubierta



119862119894

119882119903

119877119894

Sismo





119875119903

119875119890119892119875119890119892

1198751198942

1198751198882119875acute119908119875119907





V


M


119872119908 = 119875acute119908 ℎ119908 119872119903 = 119875119903 ℎ119903 119872119894= 119875119894ℎ119894 119872119888= 119875119888ℎ119888 119872119907= 119875119907ℎ119907 119872119890119892= 119875119890119892 ℎ119890119892

ℎ119908

ℎ119903

ℎ119894

ℎ119888ℎ119890119892ℎ119907



119875119903

119875119890119892119875119890119892119875acute119908


2 +119872sup2119862 +119872sup2119890119892 +119872sup2119907 (Ton-m)


MV










Documento aplicable



Cali






1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V



Bogotaacute




1198751198882= 14 ton

ℎ119908 = 25m

1198751198942= 56 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 13 ton

119875119903 = 108 ton



119889119898119886119909 = 023m

119875prime119908 = 10 ton


V



Barranquilla




1198751198882= 7 ton

ℎ119908 = 25m

1198751198942= 28 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 6 ton

119875119903 = 54 ton



119889119898119886119909 = 011m

119875prime119908 = 5 ton


V






119881 = 119875prime119908 + 119875119903 + 119875119894 sup2 + 119875sup2119888 + 119875sup2119907

1198751198882

119875prime119908

ℎ119908 = 25m

1198751198942

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907

ℎ119907 = 13m

119875119903

119889119898119886119909 = 043m

V



Alto Cali 212 54 25 18 207 441










1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V


119875ℎ=1

2γ119871 119867sup2119871 B = 160 ton

ℎ = 13m

ℎ119888 = 20m





119889119898119886119909= 119871

2119862119888119868 =

30119898

2x 0023 x 125 = 043m

119889119898119886119909 = 043m

119889119898119886119909 =119871

2119862119888 I




TANQUES Y PISCINAS




Cali






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



Bogotaacute




1198751198882= 24 ton119875prime119908 = 29 ton

ℎ119908 = 1m

1198751198942= 45 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 12 ton



119889119898119886119909 = 013m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 225 ton

ℎ = 10m



Barranquilla




1198751198882= 11 ton119875prime119908 = 14 ton

ℎ119908 = 1m

1198751198942= 23 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 06 ton



119889119898119886119909 = 007m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 69 ton

ℎ = 10m







1198751198882

119875prime119908

ℎ119908 = 1m

1198751198942

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892

V

ℎ = 10m



Alto Cali 172 9 23 55 302 389






ℎ = 06m

119867119871 = 18m119875ℎ=

1

2γ119871 119867sup2119871 B = 19 ton






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



sismo

V=38 ton

V=38 ton











ACI 350M-06





h = Espesor muro mm


119878119889 =Ф119891119910

γ119891119904ge 10

γ =119862119886119903119892119886119904 119898119886119910119900119903119886119889119886119904

119862119886119903119892119886119904 sin119898119886119910119900119903119886119903

119891119904119898119886119909 =56000

β 1199042 + 4 50 +1198891198872

2

β=ℎminus119888

119889minus119888






119878119889 =Ф119891119910

γ119891119904ge 10 γ = 14 Sd =

Фfy

γfs= 09 420MPa

14 160MPa= 169

U = 169 14(D+F)




119878119889 =Ф119891119910

γ119891119904ge 10 γ = 13 Sd =

Фfy

γfs= 09 420MPa

13 160MPa= 182

U=182 12 D + F + T + 16 L + H + 05(Lr)


































1700 -2100 Kg msup31885 Kg msup3






Sika Fumereg











pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS






Semi-Enterrados






sismo

INCLUIDOS

EL ACI 3503-06



ACI 3502R-04


ACI 3503-06




D=Carga muerta


119875119886

119875ℎ=1

2γ119871 119867sup2119871 B (ton) 119875119886=

1

2γ Hsup2 119870119886 B (ton)

119867119871

H

119875ℎ

B=Ancho del tanque




Tanque o piscina

Sismo




Tomado de YouTube




(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

L

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888



L


(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888





Tomado de YouTube








L

119867119871

119901119907119910y


119875ℎ=1

2γ119871 119867sup2119871 B (ton)

119902ℎ119910= γ119871 (119867119871-y) (tonmsup2) 119901119907119910 = 119906119907 119902ℎ119910


(tonmsup2)

119875119907119875119907

Sismo



L


(Ton)



119875acute119908 = 119868 119862119894 ε119882acute119908

119877119894

120576 = 00151119871

119867119871

2minus 01908

119871

119867119871+ 1021 le 10

119875acute119908

119927acute119960


Peso de los muros



119862119894

119882acute119908

119877119894

119875acute119908

Sismo



L


(Ton)


119875119903 = 119868 119862119894119882119903

119877119894

119875119903

119927119955


Peso de la cubierta



119862119894

119882119903

119877119894

Sismo





119875119903

119875119890119892119875119890119892

1198751198942

1198751198882119875acute119908119875119907





V


M


119872119908 = 119875acute119908 ℎ119908 119872119903 = 119875119903 ℎ119903 119872119894= 119875119894ℎ119894 119872119888= 119875119888ℎ119888 119872119907= 119875119907ℎ119907 119872119890119892= 119875119890119892 ℎ119890119892

ℎ119908

ℎ119903

ℎ119894

ℎ119888ℎ119890119892ℎ119907



119875119903

119875119890119892119875119890119892119875acute119908


2 +119872sup2119862 +119872sup2119890119892 +119872sup2119907 (Ton-m)


MV










Documento aplicable



Cali






1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V



Bogotaacute




1198751198882= 14 ton

ℎ119908 = 25m

1198751198942= 56 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 13 ton

119875119903 = 108 ton



119889119898119886119909 = 023m

119875prime119908 = 10 ton


V



Barranquilla




1198751198882= 7 ton

ℎ119908 = 25m

1198751198942= 28 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 6 ton

119875119903 = 54 ton



119889119898119886119909 = 011m

119875prime119908 = 5 ton


V






119881 = 119875prime119908 + 119875119903 + 119875119894 sup2 + 119875sup2119888 + 119875sup2119907

1198751198882

119875prime119908

ℎ119908 = 25m

1198751198942

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907

ℎ119907 = 13m

119875119903

119889119898119886119909 = 043m

V



Alto Cali 212 54 25 18 207 441










1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V


119875ℎ=1

2γ119871 119867sup2119871 B = 160 ton

ℎ = 13m

ℎ119888 = 20m





119889119898119886119909= 119871

2119862119888119868 =

30119898

2x 0023 x 125 = 043m

119889119898119886119909 = 043m

119889119898119886119909 =119871

2119862119888 I




TANQUES Y PISCINAS




Cali






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



Bogotaacute




1198751198882= 24 ton119875prime119908 = 29 ton

ℎ119908 = 1m

1198751198942= 45 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 12 ton



119889119898119886119909 = 013m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 225 ton

ℎ = 10m



Barranquilla




1198751198882= 11 ton119875prime119908 = 14 ton

ℎ119908 = 1m

1198751198942= 23 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 06 ton



119889119898119886119909 = 007m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 69 ton

ℎ = 10m







1198751198882

119875prime119908

ℎ119908 = 1m

1198751198942

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892

V

ℎ = 10m



Alto Cali 172 9 23 55 302 389






ℎ = 06m

119867119871 = 18m119875ℎ=

1

2γ119871 119867sup2119871 B = 19 ton






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



sismo

V=38 ton

V=38 ton











ACI 350M-06





h = Espesor muro mm


119878119889 =Ф119891119910

γ119891119904ge 10

γ =119862119886119903119892119886119904 119898119886119910119900119903119886119889119886119904

119862119886119903119892119886119904 sin119898119886119910119900119903119886119903

119891119904119898119886119909 =56000

β 1199042 + 4 50 +1198891198872

2

β=ℎminus119888

119889minus119888






119878119889 =Ф119891119910

γ119891119904ge 10 γ = 14 Sd =

Фfy

γfs= 09 420MPa

14 160MPa= 169

U = 169 14(D+F)




119878119889 =Ф119891119910

γ119891119904ge 10 γ = 13 Sd =

Фfy

γfs= 09 420MPa

13 160MPa= 182

U=182 12 D + F + T + 16 L + H + 05(Lr)


































1700 -2100 Kg msup31885 Kg msup3






Sika Fumereg











pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS






sismo

INCLUIDOS

EL ACI 3503-06



ACI 3502R-04


ACI 3503-06




D=Carga muerta


119875119886

119875ℎ=1

2γ119871 119867sup2119871 B (ton) 119875119886=

1

2γ Hsup2 119870119886 B (ton)

119867119871

H

119875ℎ

B=Ancho del tanque




Tanque o piscina

Sismo




Tomado de YouTube




(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

L

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888



L


(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888





Tomado de YouTube








L

119867119871

119901119907119910y


119875ℎ=1

2γ119871 119867sup2119871 B (ton)

119902ℎ119910= γ119871 (119867119871-y) (tonmsup2) 119901119907119910 = 119906119907 119902ℎ119910


(tonmsup2)

119875119907119875119907

Sismo



L


(Ton)



119875acute119908 = 119868 119862119894 ε119882acute119908

119877119894

120576 = 00151119871

119867119871

2minus 01908

119871

119867119871+ 1021 le 10

119875acute119908

119927acute119960


Peso de los muros



119862119894

119882acute119908

119877119894

119875acute119908

Sismo



L


(Ton)


119875119903 = 119868 119862119894119882119903

119877119894

119875119903

119927119955


Peso de la cubierta



119862119894

119882119903

119877119894

Sismo





119875119903

119875119890119892119875119890119892

1198751198942

1198751198882119875acute119908119875119907





V


M


119872119908 = 119875acute119908 ℎ119908 119872119903 = 119875119903 ℎ119903 119872119894= 119875119894ℎ119894 119872119888= 119875119888ℎ119888 119872119907= 119875119907ℎ119907 119872119890119892= 119875119890119892 ℎ119890119892

ℎ119908

ℎ119903

ℎ119894

ℎ119888ℎ119890119892ℎ119907



119875119903

119875119890119892119875119890119892119875acute119908


2 +119872sup2119862 +119872sup2119890119892 +119872sup2119907 (Ton-m)


MV










Documento aplicable



Cali






1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V



Bogotaacute




1198751198882= 14 ton

ℎ119908 = 25m

1198751198942= 56 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 13 ton

119875119903 = 108 ton



119889119898119886119909 = 023m

119875prime119908 = 10 ton


V



Barranquilla




1198751198882= 7 ton

ℎ119908 = 25m

1198751198942= 28 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 6 ton

119875119903 = 54 ton



119889119898119886119909 = 011m

119875prime119908 = 5 ton


V






119881 = 119875prime119908 + 119875119903 + 119875119894 sup2 + 119875sup2119888 + 119875sup2119907

1198751198882

119875prime119908

ℎ119908 = 25m

1198751198942

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907

ℎ119907 = 13m

119875119903

119889119898119886119909 = 043m

V



Alto Cali 212 54 25 18 207 441










1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V


119875ℎ=1

2γ119871 119867sup2119871 B = 160 ton

ℎ = 13m

ℎ119888 = 20m





119889119898119886119909= 119871

2119862119888119868 =

30119898

2x 0023 x 125 = 043m

119889119898119886119909 = 043m

119889119898119886119909 =119871

2119862119888 I




TANQUES Y PISCINAS




Cali






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



Bogotaacute




1198751198882= 24 ton119875prime119908 = 29 ton

ℎ119908 = 1m

1198751198942= 45 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 12 ton



119889119898119886119909 = 013m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 225 ton

ℎ = 10m



Barranquilla




1198751198882= 11 ton119875prime119908 = 14 ton

ℎ119908 = 1m

1198751198942= 23 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 06 ton



119889119898119886119909 = 007m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 69 ton

ℎ = 10m







1198751198882

119875prime119908

ℎ119908 = 1m

1198751198942

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892

V

ℎ = 10m



Alto Cali 172 9 23 55 302 389






ℎ = 06m

119867119871 = 18m119875ℎ=

1

2γ119871 119867sup2119871 B = 19 ton






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



sismo

V=38 ton

V=38 ton











ACI 350M-06





h = Espesor muro mm


119878119889 =Ф119891119910

γ119891119904ge 10

γ =119862119886119903119892119886119904 119898119886119910119900119903119886119889119886119904

119862119886119903119892119886119904 sin119898119886119910119900119903119886119903

119891119904119898119886119909 =56000

β 1199042 + 4 50 +1198891198872

2

β=ℎminus119888

119889minus119888






119878119889 =Ф119891119910

γ119891119904ge 10 γ = 14 Sd =

Фfy

γfs= 09 420MPa

14 160MPa= 169

U = 169 14(D+F)




119878119889 =Ф119891119910

γ119891119904ge 10 γ = 13 Sd =

Фfy

γfs= 09 420MPa

13 160MPa= 182

U=182 12 D + F + T + 16 L + H + 05(Lr)


































1700 -2100 Kg msup31885 Kg msup3






Sika Fumereg











pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS




EL ACI 3503-06



ACI 3502R-04


ACI 3503-06




D=Carga muerta


119875119886

119875ℎ=1

2γ119871 119867sup2119871 B (ton) 119875119886=

1

2γ Hsup2 119870119886 B (ton)

119867119871

H

119875ℎ

B=Ancho del tanque




Tanque o piscina

Sismo




Tomado de YouTube




(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

L

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888



L


(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888





Tomado de YouTube








L

119867119871

119901119907119910y


119875ℎ=1

2γ119871 119867sup2119871 B (ton)

119902ℎ119910= γ119871 (119867119871-y) (tonmsup2) 119901119907119910 = 119906119907 119902ℎ119910


(tonmsup2)

119875119907119875119907

Sismo



L


(Ton)



119875acute119908 = 119868 119862119894 ε119882acute119908

119877119894

120576 = 00151119871

119867119871

2minus 01908

119871

119867119871+ 1021 le 10

119875acute119908

119927acute119960


Peso de los muros



119862119894

119882acute119908

119877119894

119875acute119908

Sismo



L


(Ton)


119875119903 = 119868 119862119894119882119903

119877119894

119875119903

119927119955


Peso de la cubierta



119862119894

119882119903

119877119894

Sismo





119875119903

119875119890119892119875119890119892

1198751198942

1198751198882119875acute119908119875119907





V


M


119872119908 = 119875acute119908 ℎ119908 119872119903 = 119875119903 ℎ119903 119872119894= 119875119894ℎ119894 119872119888= 119875119888ℎ119888 119872119907= 119875119907ℎ119907 119872119890119892= 119875119890119892 ℎ119890119892

ℎ119908

ℎ119903

ℎ119894

ℎ119888ℎ119890119892ℎ119907



119875119903

119875119890119892119875119890119892119875acute119908


2 +119872sup2119862 +119872sup2119890119892 +119872sup2119907 (Ton-m)


MV










Documento aplicable



Cali






1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V



Bogotaacute




1198751198882= 14 ton

ℎ119908 = 25m

1198751198942= 56 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 13 ton

119875119903 = 108 ton



119889119898119886119909 = 023m

119875prime119908 = 10 ton


V



Barranquilla




1198751198882= 7 ton

ℎ119908 = 25m

1198751198942= 28 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 6 ton

119875119903 = 54 ton



119889119898119886119909 = 011m

119875prime119908 = 5 ton


V






119881 = 119875prime119908 + 119875119903 + 119875119894 sup2 + 119875sup2119888 + 119875sup2119907

1198751198882

119875prime119908

ℎ119908 = 25m

1198751198942

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907

ℎ119907 = 13m

119875119903

119889119898119886119909 = 043m

V



Alto Cali 212 54 25 18 207 441










1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V


119875ℎ=1

2γ119871 119867sup2119871 B = 160 ton

ℎ = 13m

ℎ119888 = 20m





119889119898119886119909= 119871

2119862119888119868 =

30119898

2x 0023 x 125 = 043m

119889119898119886119909 = 043m

119889119898119886119909 =119871

2119862119888 I




TANQUES Y PISCINAS




Cali






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



Bogotaacute




1198751198882= 24 ton119875prime119908 = 29 ton

ℎ119908 = 1m

1198751198942= 45 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 12 ton



119889119898119886119909 = 013m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 225 ton

ℎ = 10m



Barranquilla




1198751198882= 11 ton119875prime119908 = 14 ton

ℎ119908 = 1m

1198751198942= 23 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 06 ton



119889119898119886119909 = 007m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 69 ton

ℎ = 10m







1198751198882

119875prime119908

ℎ119908 = 1m

1198751198942

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892

V

ℎ = 10m



Alto Cali 172 9 23 55 302 389






ℎ = 06m

119867119871 = 18m119875ℎ=

1

2γ119871 119867sup2119871 B = 19 ton






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



sismo

V=38 ton

V=38 ton











ACI 350M-06





h = Espesor muro mm


119878119889 =Ф119891119910

γ119891119904ge 10

γ =119862119886119903119892119886119904 119898119886119910119900119903119886119889119886119904

119862119886119903119892119886119904 sin119898119886119910119900119903119886119903

119891119904119898119886119909 =56000

β 1199042 + 4 50 +1198891198872

2

β=ℎminus119888

119889minus119888






119878119889 =Ф119891119910

γ119891119904ge 10 γ = 14 Sd =

Фfy

γfs= 09 420MPa

14 160MPa= 169

U = 169 14(D+F)




119878119889 =Ф119891119910

γ119891119904ge 10 γ = 13 Sd =

Фfy

γfs= 09 420MPa

13 160MPa= 182

U=182 12 D + F + T + 16 L + H + 05(Lr)


































1700 -2100 Kg msup31885 Kg msup3






Sika Fumereg











pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS





ACI 3502R-04


ACI 3503-06




D=Carga muerta


119875119886

119875ℎ=1

2γ119871 119867sup2119871 B (ton) 119875119886=

1

2γ Hsup2 119870119886 B (ton)

119867119871

H

119875ℎ

B=Ancho del tanque




Tanque o piscina

Sismo




Tomado de YouTube




(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

L

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888



L


(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888





Tomado de YouTube








L

119867119871

119901119907119910y


119875ℎ=1

2γ119871 119867sup2119871 B (ton)

119902ℎ119910= γ119871 (119867119871-y) (tonmsup2) 119901119907119910 = 119906119907 119902ℎ119910


(tonmsup2)

119875119907119875119907

Sismo



L


(Ton)



119875acute119908 = 119868 119862119894 ε119882acute119908

119877119894

120576 = 00151119871

119867119871

2minus 01908

119871

119867119871+ 1021 le 10

119875acute119908

119927acute119960


Peso de los muros



119862119894

119882acute119908

119877119894

119875acute119908

Sismo



L


(Ton)


119875119903 = 119868 119862119894119882119903

119877119894

119875119903

119927119955


Peso de la cubierta



119862119894

119882119903

119877119894

Sismo





119875119903

119875119890119892119875119890119892

1198751198942

1198751198882119875acute119908119875119907





V


M


119872119908 = 119875acute119908 ℎ119908 119872119903 = 119875119903 ℎ119903 119872119894= 119875119894ℎ119894 119872119888= 119875119888ℎ119888 119872119907= 119875119907ℎ119907 119872119890119892= 119875119890119892 ℎ119890119892

ℎ119908

ℎ119903

ℎ119894

ℎ119888ℎ119890119892ℎ119907



119875119903

119875119890119892119875119890119892119875acute119908


2 +119872sup2119862 +119872sup2119890119892 +119872sup2119907 (Ton-m)


MV










Documento aplicable



Cali






1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V



Bogotaacute




1198751198882= 14 ton

ℎ119908 = 25m

1198751198942= 56 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 13 ton

119875119903 = 108 ton



119889119898119886119909 = 023m

119875prime119908 = 10 ton


V



Barranquilla




1198751198882= 7 ton

ℎ119908 = 25m

1198751198942= 28 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 6 ton

119875119903 = 54 ton



119889119898119886119909 = 011m

119875prime119908 = 5 ton


V






119881 = 119875prime119908 + 119875119903 + 119875119894 sup2 + 119875sup2119888 + 119875sup2119907

1198751198882

119875prime119908

ℎ119908 = 25m

1198751198942

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907

ℎ119907 = 13m

119875119903

119889119898119886119909 = 043m

V



Alto Cali 212 54 25 18 207 441










1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V


119875ℎ=1

2γ119871 119867sup2119871 B = 160 ton

ℎ = 13m

ℎ119888 = 20m





119889119898119886119909= 119871

2119862119888119868 =

30119898

2x 0023 x 125 = 043m

119889119898119886119909 = 043m

119889119898119886119909 =119871

2119862119888 I




TANQUES Y PISCINAS




Cali






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



Bogotaacute




1198751198882= 24 ton119875prime119908 = 29 ton

ℎ119908 = 1m

1198751198942= 45 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 12 ton



119889119898119886119909 = 013m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 225 ton

ℎ = 10m



Barranquilla




1198751198882= 11 ton119875prime119908 = 14 ton

ℎ119908 = 1m

1198751198942= 23 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 06 ton



119889119898119886119909 = 007m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 69 ton

ℎ = 10m







1198751198882

119875prime119908

ℎ119908 = 1m

1198751198942

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892

V

ℎ = 10m



Alto Cali 172 9 23 55 302 389






ℎ = 06m

119867119871 = 18m119875ℎ=

1

2γ119871 119867sup2119871 B = 19 ton






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



sismo

V=38 ton

V=38 ton











ACI 350M-06





h = Espesor muro mm


119878119889 =Ф119891119910

γ119891119904ge 10

γ =119862119886119903119892119886119904 119898119886119910119900119903119886119889119886119904

119862119886119903119892119886119904 sin119898119886119910119900119903119886119903

119891119904119898119886119909 =56000

β 1199042 + 4 50 +1198891198872

2

β=ℎminus119888

119889minus119888






119878119889 =Ф119891119910

γ119891119904ge 10 γ = 14 Sd =

Фfy

γfs= 09 420MPa

14 160MPa= 169

U = 169 14(D+F)




119878119889 =Ф119891119910

γ119891119904ge 10 γ = 13 Sd =

Фfy

γfs= 09 420MPa

13 160MPa= 182

U=182 12 D + F + T + 16 L + H + 05(Lr)


































1700 -2100 Kg msup31885 Kg msup3






Sika Fumereg











pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS







D=Carga muerta


119875119886

119875ℎ=1

2γ119871 119867sup2119871 B (ton) 119875119886=

1

2γ Hsup2 119870119886 B (ton)

119867119871

H

119875ℎ

B=Ancho del tanque




Tanque o piscina

Sismo




Tomado de YouTube




(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

L

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888



L


(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888





Tomado de YouTube








L

119867119871

119901119907119910y


119875ℎ=1

2γ119871 119867sup2119871 B (ton)

119902ℎ119910= γ119871 (119867119871-y) (tonmsup2) 119901119907119910 = 119906119907 119902ℎ119910


(tonmsup2)

119875119907119875119907

Sismo



L


(Ton)



119875acute119908 = 119868 119862119894 ε119882acute119908

119877119894

120576 = 00151119871

119867119871

2minus 01908

119871

119867119871+ 1021 le 10

119875acute119908

119927acute119960


Peso de los muros



119862119894

119882acute119908

119877119894

119875acute119908

Sismo



L


(Ton)


119875119903 = 119868 119862119894119882119903

119877119894

119875119903

119927119955


Peso de la cubierta



119862119894

119882119903

119877119894

Sismo





119875119903

119875119890119892119875119890119892

1198751198942

1198751198882119875acute119908119875119907





V


M


119872119908 = 119875acute119908 ℎ119908 119872119903 = 119875119903 ℎ119903 119872119894= 119875119894ℎ119894 119872119888= 119875119888ℎ119888 119872119907= 119875119907ℎ119907 119872119890119892= 119875119890119892 ℎ119890119892

ℎ119908

ℎ119903

ℎ119894

ℎ119888ℎ119890119892ℎ119907



119875119903

119875119890119892119875119890119892119875acute119908


2 +119872sup2119862 +119872sup2119890119892 +119872sup2119907 (Ton-m)


MV










Documento aplicable



Cali






1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V



Bogotaacute




1198751198882= 14 ton

ℎ119908 = 25m

1198751198942= 56 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 13 ton

119875119903 = 108 ton



119889119898119886119909 = 023m

119875prime119908 = 10 ton


V



Barranquilla




1198751198882= 7 ton

ℎ119908 = 25m

1198751198942= 28 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 6 ton

119875119903 = 54 ton



119889119898119886119909 = 011m

119875prime119908 = 5 ton


V






119881 = 119875prime119908 + 119875119903 + 119875119894 sup2 + 119875sup2119888 + 119875sup2119907

1198751198882

119875prime119908

ℎ119908 = 25m

1198751198942

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907

ℎ119907 = 13m

119875119903

119889119898119886119909 = 043m

V



Alto Cali 212 54 25 18 207 441










1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V


119875ℎ=1

2γ119871 119867sup2119871 B = 160 ton

ℎ = 13m

ℎ119888 = 20m





119889119898119886119909= 119871

2119862119888119868 =

30119898

2x 0023 x 125 = 043m

119889119898119886119909 = 043m

119889119898119886119909 =119871

2119862119888 I




TANQUES Y PISCINAS




Cali






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



Bogotaacute




1198751198882= 24 ton119875prime119908 = 29 ton

ℎ119908 = 1m

1198751198942= 45 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 12 ton



119889119898119886119909 = 013m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 225 ton

ℎ = 10m



Barranquilla




1198751198882= 11 ton119875prime119908 = 14 ton

ℎ119908 = 1m

1198751198942= 23 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 06 ton



119889119898119886119909 = 007m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 69 ton

ℎ = 10m







1198751198882

119875prime119908

ℎ119908 = 1m

1198751198942

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892

V

ℎ = 10m



Alto Cali 172 9 23 55 302 389






ℎ = 06m

119867119871 = 18m119875ℎ=

1

2γ119871 119867sup2119871 B = 19 ton






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



sismo

V=38 ton

V=38 ton











ACI 350M-06





h = Espesor muro mm


119878119889 =Ф119891119910

γ119891119904ge 10

γ =119862119886119903119892119886119904 119898119886119910119900119903119886119889119886119904

119862119886119903119892119886119904 sin119898119886119910119900119903119886119903

119891119904119898119886119909 =56000

β 1199042 + 4 50 +1198891198872

2

β=ℎminus119888

119889minus119888






119878119889 =Ф119891119910

γ119891119904ge 10 γ = 14 Sd =

Фfy

γfs= 09 420MPa

14 160MPa= 169

U = 169 14(D+F)




119878119889 =Ф119891119910

γ119891119904ge 10 γ = 13 Sd =

Фfy

γfs= 09 420MPa

13 160MPa= 182

U=182 12 D + F + T + 16 L + H + 05(Lr)


































1700 -2100 Kg msup31885 Kg msup3






Sika Fumereg











pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS







Tanque o piscina

Sismo




Tomado de YouTube




(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

L

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888



L


(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888





Tomado de YouTube








L

119867119871

119901119907119910y


119875ℎ=1

2γ119871 119867sup2119871 B (ton)

119902ℎ119910= γ119871 (119867119871-y) (tonmsup2) 119901119907119910 = 119906119907 119902ℎ119910


(tonmsup2)

119875119907119875119907

Sismo



L


(Ton)



119875acute119908 = 119868 119862119894 ε119882acute119908

119877119894

120576 = 00151119871

119867119871

2minus 01908

119871

119867119871+ 1021 le 10

119875acute119908

119927acute119960


Peso de los muros



119862119894

119882acute119908

119877119894

119875acute119908

Sismo



L


(Ton)


119875119903 = 119868 119862119894119882119903

119877119894

119875119903

119927119955


Peso de la cubierta



119862119894

119882119903

119877119894

Sismo





119875119903

119875119890119892119875119890119892

1198751198942

1198751198882119875acute119908119875119907





V


M


119872119908 = 119875acute119908 ℎ119908 119872119903 = 119875119903 ℎ119903 119872119894= 119875119894ℎ119894 119872119888= 119875119888ℎ119888 119872119907= 119875119907ℎ119907 119872119890119892= 119875119890119892 ℎ119890119892

ℎ119908

ℎ119903

ℎ119894

ℎ119888ℎ119890119892ℎ119907



119875119903

119875119890119892119875119890119892119875acute119908


2 +119872sup2119862 +119872sup2119890119892 +119872sup2119907 (Ton-m)


MV










Documento aplicable



Cali






1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V



Bogotaacute




1198751198882= 14 ton

ℎ119908 = 25m

1198751198942= 56 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 13 ton

119875119903 = 108 ton



119889119898119886119909 = 023m

119875prime119908 = 10 ton


V



Barranquilla




1198751198882= 7 ton

ℎ119908 = 25m

1198751198942= 28 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 6 ton

119875119903 = 54 ton



119889119898119886119909 = 011m

119875prime119908 = 5 ton


V






119881 = 119875prime119908 + 119875119903 + 119875119894 sup2 + 119875sup2119888 + 119875sup2119907

1198751198882

119875prime119908

ℎ119908 = 25m

1198751198942

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907

ℎ119907 = 13m

119875119903

119889119898119886119909 = 043m

V



Alto Cali 212 54 25 18 207 441










1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V


119875ℎ=1

2γ119871 119867sup2119871 B = 160 ton

ℎ = 13m

ℎ119888 = 20m





119889119898119886119909= 119871

2119862119888119868 =

30119898

2x 0023 x 125 = 043m

119889119898119886119909 = 043m

119889119898119886119909 =119871

2119862119888 I




TANQUES Y PISCINAS




Cali






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



Bogotaacute




1198751198882= 24 ton119875prime119908 = 29 ton

ℎ119908 = 1m

1198751198942= 45 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 12 ton



119889119898119886119909 = 013m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 225 ton

ℎ = 10m



Barranquilla




1198751198882= 11 ton119875prime119908 = 14 ton

ℎ119908 = 1m

1198751198942= 23 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 06 ton



119889119898119886119909 = 007m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 69 ton

ℎ = 10m







1198751198882

119875prime119908

ℎ119908 = 1m

1198751198942

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892

V

ℎ = 10m



Alto Cali 172 9 23 55 302 389






ℎ = 06m

119867119871 = 18m119875ℎ=

1

2γ119871 119867sup2119871 B = 19 ton






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



sismo

V=38 ton

V=38 ton











ACI 350M-06





h = Espesor muro mm


119878119889 =Ф119891119910

γ119891119904ge 10

γ =119862119886119903119892119886119904 119898119886119910119900119903119886119889119886119904

119862119886119903119892119886119904 sin119898119886119910119900119903119886119903

119891119904119898119886119909 =56000

β 1199042 + 4 50 +1198891198872

2

β=ℎminus119888

119889minus119888






119878119889 =Ф119891119910

γ119891119904ge 10 γ = 14 Sd =

Фfy

γfs= 09 420MPa

14 160MPa= 169

U = 169 14(D+F)




119878119889 =Ф119891119910

γ119891119904ge 10 γ = 13 Sd =

Фfy

γfs= 09 420MPa

13 160MPa= 182

U=182 12 D + F + T + 16 L + H + 05(Lr)


































1700 -2100 Kg msup31885 Kg msup3






Sika Fumereg











pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS







Tomado de YouTube




(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

L

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888



L


(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888





Tomado de YouTube








L

119867119871

119901119907119910y


119875ℎ=1

2γ119871 119867sup2119871 B (ton)

119902ℎ119910= γ119871 (119867119871-y) (tonmsup2) 119901119907119910 = 119906119907 119902ℎ119910


(tonmsup2)

119875119907119875119907

Sismo



L


(Ton)



119875acute119908 = 119868 119862119894 ε119882acute119908

119877119894

120576 = 00151119871

119867119871

2minus 01908

119871

119867119871+ 1021 le 10

119875acute119908

119927acute119960


Peso de los muros



119862119894

119882acute119908

119877119894

119875acute119908

Sismo



L


(Ton)


119875119903 = 119868 119862119894119882119903

119877119894

119875119903

119927119955


Peso de la cubierta



119862119894

119882119903

119877119894

Sismo





119875119903

119875119890119892119875119890119892

1198751198942

1198751198882119875acute119908119875119907





V


M


119872119908 = 119875acute119908 ℎ119908 119872119903 = 119875119903 ℎ119903 119872119894= 119875119894ℎ119894 119872119888= 119875119888ℎ119888 119872119907= 119875119907ℎ119907 119872119890119892= 119875119890119892 ℎ119890119892

ℎ119908

ℎ119903

ℎ119894

ℎ119888ℎ119890119892ℎ119907



119875119903

119875119890119892119875119890119892119875acute119908


2 +119872sup2119862 +119872sup2119890119892 +119872sup2119907 (Ton-m)


MV










Documento aplicable



Cali






1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V



Bogotaacute




1198751198882= 14 ton

ℎ119908 = 25m

1198751198942= 56 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 13 ton

119875119903 = 108 ton



119889119898119886119909 = 023m

119875prime119908 = 10 ton


V



Barranquilla




1198751198882= 7 ton

ℎ119908 = 25m

1198751198942= 28 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 6 ton

119875119903 = 54 ton



119889119898119886119909 = 011m

119875prime119908 = 5 ton


V






119881 = 119875prime119908 + 119875119903 + 119875119894 sup2 + 119875sup2119888 + 119875sup2119907

1198751198882

119875prime119908

ℎ119908 = 25m

1198751198942

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907

ℎ119907 = 13m

119875119903

119889119898119886119909 = 043m

V



Alto Cali 212 54 25 18 207 441










1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V


119875ℎ=1

2γ119871 119867sup2119871 B = 160 ton

ℎ = 13m

ℎ119888 = 20m





119889119898119886119909= 119871

2119862119888119868 =

30119898

2x 0023 x 125 = 043m

119889119898119886119909 = 043m

119889119898119886119909 =119871

2119862119888 I




TANQUES Y PISCINAS




Cali






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



Bogotaacute




1198751198882= 24 ton119875prime119908 = 29 ton

ℎ119908 = 1m

1198751198942= 45 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 12 ton



119889119898119886119909 = 013m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 225 ton

ℎ = 10m



Barranquilla




1198751198882= 11 ton119875prime119908 = 14 ton

ℎ119908 = 1m

1198751198942= 23 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 06 ton



119889119898119886119909 = 007m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 69 ton

ℎ = 10m







1198751198882

119875prime119908

ℎ119908 = 1m

1198751198942

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892

V

ℎ = 10m



Alto Cali 172 9 23 55 302 389






ℎ = 06m

119867119871 = 18m119875ℎ=

1

2γ119871 119867sup2119871 B = 19 ton






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



sismo

V=38 ton

V=38 ton











ACI 350M-06





h = Espesor muro mm


119878119889 =Ф119891119910

γ119891119904ge 10

γ =119862119886119903119892119886119904 119898119886119910119900119903119886119889119886119904

119862119886119903119892119886119904 sin119898119886119910119900119903119886119903

119891119904119898119886119909 =56000

β 1199042 + 4 50 +1198891198872

2

β=ℎminus119888

119889minus119888






119878119889 =Ф119891119910

γ119891119904ge 10 γ = 14 Sd =

Фfy

γfs= 09 420MPa

14 160MPa= 169

U = 169 14(D+F)




119878119889 =Ф119891119910

γ119891119904ge 10 γ = 13 Sd =

Фfy

γfs= 09 420MPa

13 160MPa= 182

U=182 12 D + F + T + 16 L + H + 05(Lr)


































1700 -2100 Kg msup31885 Kg msup3






Sika Fumereg











pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS







(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

L

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888



L


(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888





Tomado de YouTube








L

119867119871

119901119907119910y


119875ℎ=1

2γ119871 119867sup2119871 B (ton)

119902ℎ119910= γ119871 (119867119871-y) (tonmsup2) 119901119907119910 = 119906119907 119902ℎ119910


(tonmsup2)

119875119907119875119907

Sismo



L


(Ton)



119875acute119908 = 119868 119862119894 ε119882acute119908

119877119894

120576 = 00151119871

119867119871

2minus 01908

119871

119867119871+ 1021 le 10

119875acute119908

119927acute119960


Peso de los muros



119862119894

119882acute119908

119877119894

119875acute119908

Sismo



L


(Ton)


119875119903 = 119868 119862119894119882119903

119877119894

119875119903

119927119955


Peso de la cubierta



119862119894

119882119903

119877119894

Sismo





119875119903

119875119890119892119875119890119892

1198751198942

1198751198882119875acute119908119875119907





V


M


119872119908 = 119875acute119908 ℎ119908 119872119903 = 119875119903 ℎ119903 119872119894= 119875119894ℎ119894 119872119888= 119875119888ℎ119888 119872119907= 119875119907ℎ119907 119872119890119892= 119875119890119892 ℎ119890119892

ℎ119908

ℎ119903

ℎ119894

ℎ119888ℎ119890119892ℎ119907



119875119903

119875119890119892119875119890119892119875acute119908


2 +119872sup2119862 +119872sup2119890119892 +119872sup2119907 (Ton-m)


MV










Documento aplicable



Cali






1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V



Bogotaacute




1198751198882= 14 ton

ℎ119908 = 25m

1198751198942= 56 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 13 ton

119875119903 = 108 ton



119889119898119886119909 = 023m

119875prime119908 = 10 ton


V



Barranquilla




1198751198882= 7 ton

ℎ119908 = 25m

1198751198942= 28 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 6 ton

119875119903 = 54 ton



119889119898119886119909 = 011m

119875prime119908 = 5 ton


V






119881 = 119875prime119908 + 119875119903 + 119875119894 sup2 + 119875sup2119888 + 119875sup2119907

1198751198882

119875prime119908

ℎ119908 = 25m

1198751198942

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907

ℎ119907 = 13m

119875119903

119889119898119886119909 = 043m

V



Alto Cali 212 54 25 18 207 441










1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V


119875ℎ=1

2γ119871 119867sup2119871 B = 160 ton

ℎ = 13m

ℎ119888 = 20m





119889119898119886119909= 119871

2119862119888119868 =

30119898

2x 0023 x 125 = 043m

119889119898119886119909 = 043m

119889119898119886119909 =119871

2119862119888 I




TANQUES Y PISCINAS




Cali






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



Bogotaacute




1198751198882= 24 ton119875prime119908 = 29 ton

ℎ119908 = 1m

1198751198942= 45 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 12 ton



119889119898119886119909 = 013m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 225 ton

ℎ = 10m



Barranquilla




1198751198882= 11 ton119875prime119908 = 14 ton

ℎ119908 = 1m

1198751198942= 23 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 06 ton



119889119898119886119909 = 007m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 69 ton

ℎ = 10m







1198751198882

119875prime119908

ℎ119908 = 1m

1198751198942

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892

V

ℎ = 10m



Alto Cali 172 9 23 55 302 389






ℎ = 06m

119867119871 = 18m119875ℎ=

1

2γ119871 119867sup2119871 B = 19 ton






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



sismo

V=38 ton

V=38 ton











ACI 350M-06





h = Espesor muro mm


119878119889 =Ф119891119910

γ119891119904ge 10

γ =119862119886119903119892119886119904 119898119886119910119900119903119886119889119886119904

119862119886119903119892119886119904 sin119898119886119910119900119903119886119903

119891119904119898119886119909 =56000

β 1199042 + 4 50 +1198891198872

2

β=ℎminus119888

119889minus119888






119878119889 =Ф119891119910

γ119891119904ge 10 γ = 14 Sd =

Фfy

γfs= 09 420MPa

14 160MPa= 169

U = 169 14(D+F)




119878119889 =Ф119891119910

γ119891119904ge 10 γ = 13 Sd =

Фfy

γfs= 09 420MPa

13 160MPa= 182

U=182 12 D + F + T + 16 L + H + 05(Lr)


































1700 -2100 Kg msup31885 Kg msup3






Sika Fumereg











pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS






L


(Ton)






119875119894 = 119868 119862119894119882119894

119877119894

1198751198942

1198751198882

ℎ119894

ℎ119888

119875119888 = 119868 119862119888119882119888

119877119888(Ton)

119862119894 119862119888

119882119894 119882119888

119877119894 119877119888





Tomado de YouTube








L

119867119871

119901119907119910y


119875ℎ=1

2γ119871 119867sup2119871 B (ton)

119902ℎ119910= γ119871 (119867119871-y) (tonmsup2) 119901119907119910 = 119906119907 119902ℎ119910


(tonmsup2)

119875119907119875119907

Sismo



L


(Ton)



119875acute119908 = 119868 119862119894 ε119882acute119908

119877119894

120576 = 00151119871

119867119871

2minus 01908

119871

119867119871+ 1021 le 10

119875acute119908

119927acute119960


Peso de los muros



119862119894

119882acute119908

119877119894

119875acute119908

Sismo



L


(Ton)


119875119903 = 119868 119862119894119882119903

119877119894

119875119903

119927119955


Peso de la cubierta



119862119894

119882119903

119877119894

Sismo





119875119903

119875119890119892119875119890119892

1198751198942

1198751198882119875acute119908119875119907





V


M


119872119908 = 119875acute119908 ℎ119908 119872119903 = 119875119903 ℎ119903 119872119894= 119875119894ℎ119894 119872119888= 119875119888ℎ119888 119872119907= 119875119907ℎ119907 119872119890119892= 119875119890119892 ℎ119890119892

ℎ119908

ℎ119903

ℎ119894

ℎ119888ℎ119890119892ℎ119907



119875119903

119875119890119892119875119890119892119875acute119908


2 +119872sup2119862 +119872sup2119890119892 +119872sup2119907 (Ton-m)


MV










Documento aplicable



Cali






1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V



Bogotaacute




1198751198882= 14 ton

ℎ119908 = 25m

1198751198942= 56 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 13 ton

119875119903 = 108 ton



119889119898119886119909 = 023m

119875prime119908 = 10 ton


V



Barranquilla




1198751198882= 7 ton

ℎ119908 = 25m

1198751198942= 28 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 6 ton

119875119903 = 54 ton



119889119898119886119909 = 011m

119875prime119908 = 5 ton


V






119881 = 119875prime119908 + 119875119903 + 119875119894 sup2 + 119875sup2119888 + 119875sup2119907

1198751198882

119875prime119908

ℎ119908 = 25m

1198751198942

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907

ℎ119907 = 13m

119875119903

119889119898119886119909 = 043m

V



Alto Cali 212 54 25 18 207 441










1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V


119875ℎ=1

2γ119871 119867sup2119871 B = 160 ton

ℎ = 13m

ℎ119888 = 20m





119889119898119886119909= 119871

2119862119888119868 =

30119898

2x 0023 x 125 = 043m

119889119898119886119909 = 043m

119889119898119886119909 =119871

2119862119888 I




TANQUES Y PISCINAS




Cali






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



Bogotaacute




1198751198882= 24 ton119875prime119908 = 29 ton

ℎ119908 = 1m

1198751198942= 45 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 12 ton



119889119898119886119909 = 013m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 225 ton

ℎ = 10m



Barranquilla




1198751198882= 11 ton119875prime119908 = 14 ton

ℎ119908 = 1m

1198751198942= 23 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 06 ton



119889119898119886119909 = 007m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 69 ton

ℎ = 10m







1198751198882

119875prime119908

ℎ119908 = 1m

1198751198942

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892

V

ℎ = 10m



Alto Cali 172 9 23 55 302 389






ℎ = 06m

119867119871 = 18m119875ℎ=

1

2γ119871 119867sup2119871 B = 19 ton






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



sismo

V=38 ton

V=38 ton











ACI 350M-06





h = Espesor muro mm


119878119889 =Ф119891119910

γ119891119904ge 10

γ =119862119886119903119892119886119904 119898119886119910119900119903119886119889119886119904

119862119886119903119892119886119904 sin119898119886119910119900119903119886119903

119891119904119898119886119909 =56000

β 1199042 + 4 50 +1198891198872

2

β=ℎminus119888

119889minus119888






119878119889 =Ф119891119910

γ119891119904ge 10 γ = 14 Sd =

Фfy

γfs= 09 420MPa

14 160MPa= 169

U = 169 14(D+F)




119878119889 =Ф119891119910

γ119891119904ge 10 γ = 13 Sd =

Фfy

γfs= 09 420MPa

13 160MPa= 182

U=182 12 D + F + T + 16 L + H + 05(Lr)


































1700 -2100 Kg msup31885 Kg msup3






Sika Fumereg











pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS








Tomado de YouTube








L

119867119871

119901119907119910y


119875ℎ=1

2γ119871 119867sup2119871 B (ton)

119902ℎ119910= γ119871 (119867119871-y) (tonmsup2) 119901119907119910 = 119906119907 119902ℎ119910


(tonmsup2)

119875119907119875119907

Sismo



L


(Ton)



119875acute119908 = 119868 119862119894 ε119882acute119908

119877119894

120576 = 00151119871

119867119871

2minus 01908

119871

119867119871+ 1021 le 10

119875acute119908

119927acute119960


Peso de los muros



119862119894

119882acute119908

119877119894

119875acute119908

Sismo



L


(Ton)


119875119903 = 119868 119862119894119882119903

119877119894

119875119903

119927119955


Peso de la cubierta



119862119894

119882119903

119877119894

Sismo





119875119903

119875119890119892119875119890119892

1198751198942

1198751198882119875acute119908119875119907





V


M


119872119908 = 119875acute119908 ℎ119908 119872119903 = 119875119903 ℎ119903 119872119894= 119875119894ℎ119894 119872119888= 119875119888ℎ119888 119872119907= 119875119907ℎ119907 119872119890119892= 119875119890119892 ℎ119890119892

ℎ119908

ℎ119903

ℎ119894

ℎ119888ℎ119890119892ℎ119907



119875119903

119875119890119892119875119890119892119875acute119908


2 +119872sup2119862 +119872sup2119890119892 +119872sup2119907 (Ton-m)


MV










Documento aplicable



Cali






1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V



Bogotaacute




1198751198882= 14 ton

ℎ119908 = 25m

1198751198942= 56 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 13 ton

119875119903 = 108 ton



119889119898119886119909 = 023m

119875prime119908 = 10 ton


V



Barranquilla




1198751198882= 7 ton

ℎ119908 = 25m

1198751198942= 28 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 6 ton

119875119903 = 54 ton



119889119898119886119909 = 011m

119875prime119908 = 5 ton


V






119881 = 119875prime119908 + 119875119903 + 119875119894 sup2 + 119875sup2119888 + 119875sup2119907

1198751198882

119875prime119908

ℎ119908 = 25m

1198751198942

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907

ℎ119907 = 13m

119875119903

119889119898119886119909 = 043m

V



Alto Cali 212 54 25 18 207 441










1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V


119875ℎ=1

2γ119871 119867sup2119871 B = 160 ton

ℎ = 13m

ℎ119888 = 20m





119889119898119886119909= 119871

2119862119888119868 =

30119898

2x 0023 x 125 = 043m

119889119898119886119909 = 043m

119889119898119886119909 =119871

2119862119888 I




TANQUES Y PISCINAS




Cali






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



Bogotaacute




1198751198882= 24 ton119875prime119908 = 29 ton

ℎ119908 = 1m

1198751198942= 45 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 12 ton



119889119898119886119909 = 013m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 225 ton

ℎ = 10m



Barranquilla




1198751198882= 11 ton119875prime119908 = 14 ton

ℎ119908 = 1m

1198751198942= 23 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 06 ton



119889119898119886119909 = 007m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 69 ton

ℎ = 10m







1198751198882

119875prime119908

ℎ119908 = 1m

1198751198942

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892

V

ℎ = 10m



Alto Cali 172 9 23 55 302 389






ℎ = 06m

119867119871 = 18m119875ℎ=

1

2γ119871 119867sup2119871 B = 19 ton






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



sismo

V=38 ton

V=38 ton











ACI 350M-06





h = Espesor muro mm


119878119889 =Ф119891119910

γ119891119904ge 10

γ =119862119886119903119892119886119904 119898119886119910119900119903119886119889119886119904

119862119886119903119892119886119904 sin119898119886119910119900119903119886119903

119891119904119898119886119909 =56000

β 1199042 + 4 50 +1198891198872

2

β=ℎminus119888

119889minus119888






119878119889 =Ф119891119910

γ119891119904ge 10 γ = 14 Sd =

Фfy

γfs= 09 420MPa

14 160MPa= 169

U = 169 14(D+F)




119878119889 =Ф119891119910

γ119891119904ge 10 γ = 13 Sd =

Фfy

γfs= 09 420MPa

13 160MPa= 182

U=182 12 D + F + T + 16 L + H + 05(Lr)


































1700 -2100 Kg msup31885 Kg msup3






Sika Fumereg











pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS











L

119867119871

119901119907119910y


119875ℎ=1

2γ119871 119867sup2119871 B (ton)

119902ℎ119910= γ119871 (119867119871-y) (tonmsup2) 119901119907119910 = 119906119907 119902ℎ119910


(tonmsup2)

119875119907119875119907

Sismo



L


(Ton)



119875acute119908 = 119868 119862119894 ε119882acute119908

119877119894

120576 = 00151119871

119867119871

2minus 01908

119871

119867119871+ 1021 le 10

119875acute119908

119927acute119960


Peso de los muros



119862119894

119882acute119908

119877119894

119875acute119908

Sismo



L


(Ton)


119875119903 = 119868 119862119894119882119903

119877119894

119875119903

119927119955


Peso de la cubierta



119862119894

119882119903

119877119894

Sismo





119875119903

119875119890119892119875119890119892

1198751198942

1198751198882119875acute119908119875119907





V


M


119872119908 = 119875acute119908 ℎ119908 119872119903 = 119875119903 ℎ119903 119872119894= 119875119894ℎ119894 119872119888= 119875119888ℎ119888 119872119907= 119875119907ℎ119907 119872119890119892= 119875119890119892 ℎ119890119892

ℎ119908

ℎ119903

ℎ119894

ℎ119888ℎ119890119892ℎ119907



119875119903

119875119890119892119875119890119892119875acute119908


2 +119872sup2119862 +119872sup2119890119892 +119872sup2119907 (Ton-m)


MV










Documento aplicable



Cali






1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V



Bogotaacute




1198751198882= 14 ton

ℎ119908 = 25m

1198751198942= 56 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 13 ton

119875119903 = 108 ton



119889119898119886119909 = 023m

119875prime119908 = 10 ton


V



Barranquilla




1198751198882= 7 ton

ℎ119908 = 25m

1198751198942= 28 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 6 ton

119875119903 = 54 ton



119889119898119886119909 = 011m

119875prime119908 = 5 ton


V






119881 = 119875prime119908 + 119875119903 + 119875119894 sup2 + 119875sup2119888 + 119875sup2119907

1198751198882

119875prime119908

ℎ119908 = 25m

1198751198942

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907

ℎ119907 = 13m

119875119903

119889119898119886119909 = 043m

V



Alto Cali 212 54 25 18 207 441










1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V


119875ℎ=1

2γ119871 119867sup2119871 B = 160 ton

ℎ = 13m

ℎ119888 = 20m





119889119898119886119909= 119871

2119862119888119868 =

30119898

2x 0023 x 125 = 043m

119889119898119886119909 = 043m

119889119898119886119909 =119871

2119862119888 I




TANQUES Y PISCINAS




Cali






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



Bogotaacute




1198751198882= 24 ton119875prime119908 = 29 ton

ℎ119908 = 1m

1198751198942= 45 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 12 ton



119889119898119886119909 = 013m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 225 ton

ℎ = 10m



Barranquilla




1198751198882= 11 ton119875prime119908 = 14 ton

ℎ119908 = 1m

1198751198942= 23 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 06 ton



119889119898119886119909 = 007m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 69 ton

ℎ = 10m







1198751198882

119875prime119908

ℎ119908 = 1m

1198751198942

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892

V

ℎ = 10m



Alto Cali 172 9 23 55 302 389






ℎ = 06m

119867119871 = 18m119875ℎ=

1

2γ119871 119867sup2119871 B = 19 ton






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



sismo

V=38 ton

V=38 ton











ACI 350M-06





h = Espesor muro mm


119878119889 =Ф119891119910

γ119891119904ge 10

γ =119862119886119903119892119886119904 119898119886119910119900119903119886119889119886119904

119862119886119903119892119886119904 sin119898119886119910119900119903119886119903

119891119904119898119886119909 =56000

β 1199042 + 4 50 +1198891198872

2

β=ℎminus119888

119889minus119888






119878119889 =Ф119891119910

γ119891119904ge 10 γ = 14 Sd =

Фfy

γfs= 09 420MPa

14 160MPa= 169

U = 169 14(D+F)




119878119889 =Ф119891119910

γ119891119904ge 10 γ = 13 Sd =

Фfy

γfs= 09 420MPa

13 160MPa= 182

U=182 12 D + F + T + 16 L + H + 05(Lr)


































1700 -2100 Kg msup31885 Kg msup3






Sika Fumereg











pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS






L


(Ton)



119875acute119908 = 119868 119862119894 ε119882acute119908

119877119894

120576 = 00151119871

119867119871

2minus 01908

119871

119867119871+ 1021 le 10

119875acute119908

119927acute119960


Peso de los muros



119862119894

119882acute119908

119877119894

119875acute119908

Sismo



L


(Ton)


119875119903 = 119868 119862119894119882119903

119877119894

119875119903

119927119955


Peso de la cubierta



119862119894

119882119903

119877119894

Sismo





119875119903

119875119890119892119875119890119892

1198751198942

1198751198882119875acute119908119875119907





V


M


119872119908 = 119875acute119908 ℎ119908 119872119903 = 119875119903 ℎ119903 119872119894= 119875119894ℎ119894 119872119888= 119875119888ℎ119888 119872119907= 119875119907ℎ119907 119872119890119892= 119875119890119892 ℎ119890119892

ℎ119908

ℎ119903

ℎ119894

ℎ119888ℎ119890119892ℎ119907



119875119903

119875119890119892119875119890119892119875acute119908


2 +119872sup2119862 +119872sup2119890119892 +119872sup2119907 (Ton-m)


MV










Documento aplicable



Cali






1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V



Bogotaacute




1198751198882= 14 ton

ℎ119908 = 25m

1198751198942= 56 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 13 ton

119875119903 = 108 ton



119889119898119886119909 = 023m

119875prime119908 = 10 ton


V



Barranquilla




1198751198882= 7 ton

ℎ119908 = 25m

1198751198942= 28 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 6 ton

119875119903 = 54 ton



119889119898119886119909 = 011m

119875prime119908 = 5 ton


V






119881 = 119875prime119908 + 119875119903 + 119875119894 sup2 + 119875sup2119888 + 119875sup2119907

1198751198882

119875prime119908

ℎ119908 = 25m

1198751198942

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907

ℎ119907 = 13m

119875119903

119889119898119886119909 = 043m

V



Alto Cali 212 54 25 18 207 441










1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V


119875ℎ=1

2γ119871 119867sup2119871 B = 160 ton

ℎ = 13m

ℎ119888 = 20m





119889119898119886119909= 119871

2119862119888119868 =

30119898

2x 0023 x 125 = 043m

119889119898119886119909 = 043m

119889119898119886119909 =119871

2119862119888 I




TANQUES Y PISCINAS




Cali






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



Bogotaacute




1198751198882= 24 ton119875prime119908 = 29 ton

ℎ119908 = 1m

1198751198942= 45 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 12 ton



119889119898119886119909 = 013m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 225 ton

ℎ = 10m



Barranquilla




1198751198882= 11 ton119875prime119908 = 14 ton

ℎ119908 = 1m

1198751198942= 23 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 06 ton



119889119898119886119909 = 007m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 69 ton

ℎ = 10m







1198751198882

119875prime119908

ℎ119908 = 1m

1198751198942

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892

V

ℎ = 10m



Alto Cali 172 9 23 55 302 389






ℎ = 06m

119867119871 = 18m119875ℎ=

1

2γ119871 119867sup2119871 B = 19 ton






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



sismo

V=38 ton

V=38 ton











ACI 350M-06





h = Espesor muro mm


119878119889 =Ф119891119910

γ119891119904ge 10

γ =119862119886119903119892119886119904 119898119886119910119900119903119886119889119886119904

119862119886119903119892119886119904 sin119898119886119910119900119903119886119903

119891119904119898119886119909 =56000

β 1199042 + 4 50 +1198891198872

2

β=ℎminus119888

119889minus119888






119878119889 =Ф119891119910

γ119891119904ge 10 γ = 14 Sd =

Фfy

γfs= 09 420MPa

14 160MPa= 169

U = 169 14(D+F)




119878119889 =Ф119891119910

γ119891119904ge 10 γ = 13 Sd =

Фfy

γfs= 09 420MPa

13 160MPa= 182

U=182 12 D + F + T + 16 L + H + 05(Lr)


































1700 -2100 Kg msup31885 Kg msup3






Sika Fumereg











pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS






L


(Ton)


119875119903 = 119868 119862119894119882119903

119877119894

119875119903

119927119955


Peso de la cubierta



119862119894

119882119903

119877119894

Sismo





119875119903

119875119890119892119875119890119892

1198751198942

1198751198882119875acute119908119875119907





V


M


119872119908 = 119875acute119908 ℎ119908 119872119903 = 119875119903 ℎ119903 119872119894= 119875119894ℎ119894 119872119888= 119875119888ℎ119888 119872119907= 119875119907ℎ119907 119872119890119892= 119875119890119892 ℎ119890119892

ℎ119908

ℎ119903

ℎ119894

ℎ119888ℎ119890119892ℎ119907



119875119903

119875119890119892119875119890119892119875acute119908


2 +119872sup2119862 +119872sup2119890119892 +119872sup2119907 (Ton-m)


MV










Documento aplicable



Cali






1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V



Bogotaacute




1198751198882= 14 ton

ℎ119908 = 25m

1198751198942= 56 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 13 ton

119875119903 = 108 ton



119889119898119886119909 = 023m

119875prime119908 = 10 ton


V



Barranquilla




1198751198882= 7 ton

ℎ119908 = 25m

1198751198942= 28 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 6 ton

119875119903 = 54 ton



119889119898119886119909 = 011m

119875prime119908 = 5 ton


V






119881 = 119875prime119908 + 119875119903 + 119875119894 sup2 + 119875sup2119888 + 119875sup2119907

1198751198882

119875prime119908

ℎ119908 = 25m

1198751198942

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907

ℎ119907 = 13m

119875119903

119889119898119886119909 = 043m

V



Alto Cali 212 54 25 18 207 441










1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V


119875ℎ=1

2γ119871 119867sup2119871 B = 160 ton

ℎ = 13m

ℎ119888 = 20m





119889119898119886119909= 119871

2119862119888119868 =

30119898

2x 0023 x 125 = 043m

119889119898119886119909 = 043m

119889119898119886119909 =119871

2119862119888 I




TANQUES Y PISCINAS




Cali






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



Bogotaacute




1198751198882= 24 ton119875prime119908 = 29 ton

ℎ119908 = 1m

1198751198942= 45 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 12 ton



119889119898119886119909 = 013m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 225 ton

ℎ = 10m



Barranquilla




1198751198882= 11 ton119875prime119908 = 14 ton

ℎ119908 = 1m

1198751198942= 23 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 06 ton



119889119898119886119909 = 007m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 69 ton

ℎ = 10m







1198751198882

119875prime119908

ℎ119908 = 1m

1198751198942

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892

V

ℎ = 10m



Alto Cali 172 9 23 55 302 389






ℎ = 06m

119867119871 = 18m119875ℎ=

1

2γ119871 119867sup2119871 B = 19 ton






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



sismo

V=38 ton

V=38 ton











ACI 350M-06





h = Espesor muro mm


119878119889 =Ф119891119910

γ119891119904ge 10

γ =119862119886119903119892119886119904 119898119886119910119900119903119886119889119886119904

119862119886119903119892119886119904 sin119898119886119910119900119903119886119903

119891119904119898119886119909 =56000

β 1199042 + 4 50 +1198891198872

2

β=ℎminus119888

119889minus119888






119878119889 =Ф119891119910

γ119891119904ge 10 γ = 14 Sd =

Фfy

γfs= 09 420MPa

14 160MPa= 169

U = 169 14(D+F)




119878119889 =Ф119891119910

γ119891119904ge 10 γ = 13 Sd =

Фfy

γfs= 09 420MPa

13 160MPa= 182

U=182 12 D + F + T + 16 L + H + 05(Lr)


































1700 -2100 Kg msup31885 Kg msup3






Sika Fumereg











pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS








119875119903

119875119890119892119875119890119892

1198751198942

1198751198882119875acute119908119875119907





V


M


119872119908 = 119875acute119908 ℎ119908 119872119903 = 119875119903 ℎ119903 119872119894= 119875119894ℎ119894 119872119888= 119875119888ℎ119888 119872119907= 119875119907ℎ119907 119872119890119892= 119875119890119892 ℎ119890119892

ℎ119908

ℎ119903

ℎ119894

ℎ119888ℎ119890119892ℎ119907



119875119903

119875119890119892119875119890119892119875acute119908


2 +119872sup2119862 +119872sup2119890119892 +119872sup2119907 (Ton-m)


MV










Documento aplicable



Cali






1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V



Bogotaacute




1198751198882= 14 ton

ℎ119908 = 25m

1198751198942= 56 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 13 ton

119875119903 = 108 ton



119889119898119886119909 = 023m

119875prime119908 = 10 ton


V



Barranquilla




1198751198882= 7 ton

ℎ119908 = 25m

1198751198942= 28 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 6 ton

119875119903 = 54 ton



119889119898119886119909 = 011m

119875prime119908 = 5 ton


V






119881 = 119875prime119908 + 119875119903 + 119875119894 sup2 + 119875sup2119888 + 119875sup2119907

1198751198882

119875prime119908

ℎ119908 = 25m

1198751198942

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907

ℎ119907 = 13m

119875119903

119889119898119886119909 = 043m

V



Alto Cali 212 54 25 18 207 441










1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V


119875ℎ=1

2γ119871 119867sup2119871 B = 160 ton

ℎ = 13m

ℎ119888 = 20m





119889119898119886119909= 119871

2119862119888119868 =

30119898

2x 0023 x 125 = 043m

119889119898119886119909 = 043m

119889119898119886119909 =119871

2119862119888 I




TANQUES Y PISCINAS




Cali






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



Bogotaacute




1198751198882= 24 ton119875prime119908 = 29 ton

ℎ119908 = 1m

1198751198942= 45 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 12 ton



119889119898119886119909 = 013m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 225 ton

ℎ = 10m



Barranquilla




1198751198882= 11 ton119875prime119908 = 14 ton

ℎ119908 = 1m

1198751198942= 23 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 06 ton



119889119898119886119909 = 007m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 69 ton

ℎ = 10m







1198751198882

119875prime119908

ℎ119908 = 1m

1198751198942

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892

V

ℎ = 10m



Alto Cali 172 9 23 55 302 389






ℎ = 06m

119867119871 = 18m119875ℎ=

1

2γ119871 119867sup2119871 B = 19 ton






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



sismo

V=38 ton

V=38 ton











ACI 350M-06





h = Espesor muro mm


119878119889 =Ф119891119910

γ119891119904ge 10

γ =119862119886119903119892119886119904 119898119886119910119900119903119886119889119886119904

119862119886119903119892119886119904 sin119898119886119910119900119903119886119903

119891119904119898119886119909 =56000

β 1199042 + 4 50 +1198891198872

2

β=ℎminus119888

119889minus119888






119878119889 =Ф119891119910

γ119891119904ge 10 γ = 14 Sd =

Фfy

γfs= 09 420MPa

14 160MPa= 169

U = 169 14(D+F)




119878119889 =Ф119891119910

γ119891119904ge 10 γ = 13 Sd =

Фfy

γfs= 09 420MPa

13 160MPa= 182

U=182 12 D + F + T + 16 L + H + 05(Lr)


































1700 -2100 Kg msup31885 Kg msup3






Sika Fumereg











pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS






119875119903

119875119890119892119875119890119892119875acute119908


2 +119872sup2119862 +119872sup2119890119892 +119872sup2119907 (Ton-m)


MV










Documento aplicable



Cali






1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V



Bogotaacute




1198751198882= 14 ton

ℎ119908 = 25m

1198751198942= 56 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 13 ton

119875119903 = 108 ton



119889119898119886119909 = 023m

119875prime119908 = 10 ton


V



Barranquilla




1198751198882= 7 ton

ℎ119908 = 25m

1198751198942= 28 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 6 ton

119875119903 = 54 ton



119889119898119886119909 = 011m

119875prime119908 = 5 ton


V






119881 = 119875prime119908 + 119875119903 + 119875119894 sup2 + 119875sup2119888 + 119875sup2119907

1198751198882

119875prime119908

ℎ119908 = 25m

1198751198942

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907

ℎ119907 = 13m

119875119903

119889119898119886119909 = 043m

V



Alto Cali 212 54 25 18 207 441










1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V


119875ℎ=1

2γ119871 119867sup2119871 B = 160 ton

ℎ = 13m

ℎ119888 = 20m





119889119898119886119909= 119871

2119862119888119868 =

30119898

2x 0023 x 125 = 043m

119889119898119886119909 = 043m

119889119898119886119909 =119871

2119862119888 I




TANQUES Y PISCINAS




Cali






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



Bogotaacute




1198751198882= 24 ton119875prime119908 = 29 ton

ℎ119908 = 1m

1198751198942= 45 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 12 ton



119889119898119886119909 = 013m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 225 ton

ℎ = 10m



Barranquilla




1198751198882= 11 ton119875prime119908 = 14 ton

ℎ119908 = 1m

1198751198942= 23 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 06 ton



119889119898119886119909 = 007m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 69 ton

ℎ = 10m







1198751198882

119875prime119908

ℎ119908 = 1m

1198751198942

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892

V

ℎ = 10m



Alto Cali 172 9 23 55 302 389






ℎ = 06m

119867119871 = 18m119875ℎ=

1

2γ119871 119867sup2119871 B = 19 ton






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



sismo

V=38 ton

V=38 ton











ACI 350M-06





h = Espesor muro mm


119878119889 =Ф119891119910

γ119891119904ge 10

γ =119862119886119903119892119886119904 119898119886119910119900119903119886119889119886119904

119862119886119903119892119886119904 sin119898119886119910119900119903119886119903

119891119904119898119886119909 =56000

β 1199042 + 4 50 +1198891198872

2

β=ℎminus119888

119889minus119888






119878119889 =Ф119891119910

γ119891119904ge 10 γ = 14 Sd =

Фfy

γfs= 09 420MPa

14 160MPa= 169

U = 169 14(D+F)




119878119889 =Ф119891119910

γ119891119904ge 10 γ = 13 Sd =

Фfy

γfs= 09 420MPa

13 160MPa= 182

U=182 12 D + F + T + 16 L + H + 05(Lr)


































1700 -2100 Kg msup31885 Kg msup3






Sika Fumereg











pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS













Documento aplicable



Cali






1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V



Bogotaacute




1198751198882= 14 ton

ℎ119908 = 25m

1198751198942= 56 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 13 ton

119875119903 = 108 ton



119889119898119886119909 = 023m

119875prime119908 = 10 ton


V



Barranquilla




1198751198882= 7 ton

ℎ119908 = 25m

1198751198942= 28 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 6 ton

119875119903 = 54 ton



119889119898119886119909 = 011m

119875prime119908 = 5 ton


V






119881 = 119875prime119908 + 119875119903 + 119875119894 sup2 + 119875sup2119888 + 119875sup2119907

1198751198882

119875prime119908

ℎ119908 = 25m

1198751198942

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907

ℎ119907 = 13m

119875119903

119889119898119886119909 = 043m

V



Alto Cali 212 54 25 18 207 441










1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V


119875ℎ=1

2γ119871 119867sup2119871 B = 160 ton

ℎ = 13m

ℎ119888 = 20m





119889119898119886119909= 119871

2119862119888119868 =

30119898

2x 0023 x 125 = 043m

119889119898119886119909 = 043m

119889119898119886119909 =119871

2119862119888 I




TANQUES Y PISCINAS




Cali






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



Bogotaacute




1198751198882= 24 ton119875prime119908 = 29 ton

ℎ119908 = 1m

1198751198942= 45 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 12 ton



119889119898119886119909 = 013m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 225 ton

ℎ = 10m



Barranquilla




1198751198882= 11 ton119875prime119908 = 14 ton

ℎ119908 = 1m

1198751198942= 23 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 06 ton



119889119898119886119909 = 007m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 69 ton

ℎ = 10m







1198751198882

119875prime119908

ℎ119908 = 1m

1198751198942

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892

V

ℎ = 10m



Alto Cali 172 9 23 55 302 389






ℎ = 06m

119867119871 = 18m119875ℎ=

1

2γ119871 119867sup2119871 B = 19 ton






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



sismo

V=38 ton

V=38 ton











ACI 350M-06





h = Espesor muro mm


119878119889 =Ф119891119910

γ119891119904ge 10

γ =119862119886119903119892119886119904 119898119886119910119900119903119886119889119886119904

119862119886119903119892119886119904 sin119898119886119910119900119903119886119903

119891119904119898119886119909 =56000

β 1199042 + 4 50 +1198891198872

2

β=ℎminus119888

119889minus119888






119878119889 =Ф119891119910

γ119891119904ge 10 γ = 14 Sd =

Фfy

γfs= 09 420MPa

14 160MPa= 169

U = 169 14(D+F)




119878119889 =Ф119891119910

γ119891119904ge 10 γ = 13 Sd =

Фfy

γfs= 09 420MPa

13 160MPa= 182

U=182 12 D + F + T + 16 L + H + 05(Lr)


































1700 -2100 Kg msup31885 Kg msup3






Sika Fumereg











pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS






Cali






1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V



Bogotaacute




1198751198882= 14 ton

ℎ119908 = 25m

1198751198942= 56 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 13 ton

119875119903 = 108 ton



119889119898119886119909 = 023m

119875prime119908 = 10 ton


V



Barranquilla




1198751198882= 7 ton

ℎ119908 = 25m

1198751198942= 28 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 6 ton

119875119903 = 54 ton



119889119898119886119909 = 011m

119875prime119908 = 5 ton


V






119881 = 119875prime119908 + 119875119903 + 119875119894 sup2 + 119875sup2119888 + 119875sup2119907

1198751198882

119875prime119908

ℎ119908 = 25m

1198751198942

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907

ℎ119907 = 13m

119875119903

119889119898119886119909 = 043m

V



Alto Cali 212 54 25 18 207 441










1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V


119875ℎ=1

2γ119871 119867sup2119871 B = 160 ton

ℎ = 13m

ℎ119888 = 20m





119889119898119886119909= 119871

2119862119888119868 =

30119898

2x 0023 x 125 = 043m

119889119898119886119909 = 043m

119889119898119886119909 =119871

2119862119888 I




TANQUES Y PISCINAS




Cali






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



Bogotaacute




1198751198882= 24 ton119875prime119908 = 29 ton

ℎ119908 = 1m

1198751198942= 45 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 12 ton



119889119898119886119909 = 013m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 225 ton

ℎ = 10m



Barranquilla




1198751198882= 11 ton119875prime119908 = 14 ton

ℎ119908 = 1m

1198751198942= 23 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 06 ton



119889119898119886119909 = 007m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 69 ton

ℎ = 10m







1198751198882

119875prime119908

ℎ119908 = 1m

1198751198942

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892

V

ℎ = 10m



Alto Cali 172 9 23 55 302 389






ℎ = 06m

119867119871 = 18m119875ℎ=

1

2γ119871 119867sup2119871 B = 19 ton






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



sismo

V=38 ton

V=38 ton











ACI 350M-06





h = Espesor muro mm


119878119889 =Ф119891119910

γ119891119904ge 10

γ =119862119886119903119892119886119904 119898119886119910119900119903119886119889119886119904

119862119886119903119892119886119904 sin119898119886119910119900119903119886119903

119891119904119898119886119909 =56000

β 1199042 + 4 50 +1198891198872

2

β=ℎminus119888

119889minus119888






119878119889 =Ф119891119910

γ119891119904ge 10 γ = 14 Sd =

Фfy

γfs= 09 420MPa

14 160MPa= 169

U = 169 14(D+F)




119878119889 =Ф119891119910

γ119891119904ge 10 γ = 13 Sd =

Фfy

γfs= 09 420MPa

13 160MPa= 182

U=182 12 D + F + T + 16 L + H + 05(Lr)


































1700 -2100 Kg msup31885 Kg msup3






Sika Fumereg











pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS






Bogotaacute




1198751198882= 14 ton

ℎ119908 = 25m

1198751198942= 56 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 13 ton

119875119903 = 108 ton



119889119898119886119909 = 023m

119875prime119908 = 10 ton


V



Barranquilla




1198751198882= 7 ton

ℎ119908 = 25m

1198751198942= 28 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 6 ton

119875119903 = 54 ton



119889119898119886119909 = 011m

119875prime119908 = 5 ton


V






119881 = 119875prime119908 + 119875119903 + 119875119894 sup2 + 119875sup2119888 + 119875sup2119907

1198751198882

119875prime119908

ℎ119908 = 25m

1198751198942

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907

ℎ119907 = 13m

119875119903

119889119898119886119909 = 043m

V



Alto Cali 212 54 25 18 207 441










1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V


119875ℎ=1

2γ119871 119867sup2119871 B = 160 ton

ℎ = 13m

ℎ119888 = 20m





119889119898119886119909= 119871

2119862119888119868 =

30119898

2x 0023 x 125 = 043m

119889119898119886119909 = 043m

119889119898119886119909 =119871

2119862119888 I




TANQUES Y PISCINAS




Cali






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



Bogotaacute




1198751198882= 24 ton119875prime119908 = 29 ton

ℎ119908 = 1m

1198751198942= 45 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 12 ton



119889119898119886119909 = 013m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 225 ton

ℎ = 10m



Barranquilla




1198751198882= 11 ton119875prime119908 = 14 ton

ℎ119908 = 1m

1198751198942= 23 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 06 ton



119889119898119886119909 = 007m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 69 ton

ℎ = 10m







1198751198882

119875prime119908

ℎ119908 = 1m

1198751198942

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892

V

ℎ = 10m



Alto Cali 172 9 23 55 302 389






ℎ = 06m

119867119871 = 18m119875ℎ=

1

2γ119871 119867sup2119871 B = 19 ton






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



sismo

V=38 ton

V=38 ton











ACI 350M-06





h = Espesor muro mm


119878119889 =Ф119891119910

γ119891119904ge 10

γ =119862119886119903119892119886119904 119898119886119910119900119903119886119889119886119904

119862119886119903119892119886119904 sin119898119886119910119900119903119886119903

119891119904119898119886119909 =56000

β 1199042 + 4 50 +1198891198872

2

β=ℎminus119888

119889minus119888






119878119889 =Ф119891119910

γ119891119904ge 10 γ = 14 Sd =

Фfy

γfs= 09 420MPa

14 160MPa= 169

U = 169 14(D+F)




119878119889 =Ф119891119910

γ119891119904ge 10 γ = 13 Sd =

Фfy

γfs= 09 420MPa

13 160MPa= 182

U=182 12 D + F + T + 16 L + H + 05(Lr)


































1700 -2100 Kg msup31885 Kg msup3






Sika Fumereg











pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS






Barranquilla




1198751198882= 7 ton

ℎ119908 = 25m

1198751198942= 28 ton

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

ℎ119907 = 13m

119875119907 = 6 ton

119875119903 = 54 ton



119889119898119886119909 = 011m

119875prime119908 = 5 ton


V






119881 = 119875prime119908 + 119875119903 + 119875119894 sup2 + 119875sup2119888 + 119875sup2119907

1198751198882

119875prime119908

ℎ119908 = 25m

1198751198942

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907

ℎ119907 = 13m

119875119903

119889119898119886119909 = 043m

V



Alto Cali 212 54 25 18 207 441










1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V


119875ℎ=1

2γ119871 119867sup2119871 B = 160 ton

ℎ = 13m

ℎ119888 = 20m





119889119898119886119909= 119871

2119862119888119868 =

30119898

2x 0023 x 125 = 043m

119889119898119886119909 = 043m

119889119898119886119909 =119871

2119862119888 I




TANQUES Y PISCINAS




Cali






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



Bogotaacute




1198751198882= 24 ton119875prime119908 = 29 ton

ℎ119908 = 1m

1198751198942= 45 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 12 ton



119889119898119886119909 = 013m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 225 ton

ℎ = 10m



Barranquilla




1198751198882= 11 ton119875prime119908 = 14 ton

ℎ119908 = 1m

1198751198942= 23 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 06 ton



119889119898119886119909 = 007m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 69 ton

ℎ = 10m







1198751198882

119875prime119908

ℎ119908 = 1m

1198751198942

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892

V

ℎ = 10m



Alto Cali 172 9 23 55 302 389






ℎ = 06m

119867119871 = 18m119875ℎ=

1

2γ119871 119867sup2119871 B = 19 ton






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



sismo

V=38 ton

V=38 ton











ACI 350M-06





h = Espesor muro mm


119878119889 =Ф119891119910

γ119891119904ge 10

γ =119862119886119903119892119886119904 119898119886119910119900119903119886119889119886119904

119862119886119903119892119886119904 sin119898119886119910119900119903119886119903

119891119904119898119886119909 =56000

β 1199042 + 4 50 +1198891198872

2

β=ℎminus119888

119889minus119888






119878119889 =Ф119891119910

γ119891119904ge 10 γ = 14 Sd =

Фfy

γfs= 09 420MPa

14 160MPa= 169

U = 169 14(D+F)




119878119889 =Ф119891119910

γ119891119904ge 10 γ = 13 Sd =

Фfy

γfs= 09 420MPa

13 160MPa= 182

U=182 12 D + F + T + 16 L + H + 05(Lr)


































1700 -2100 Kg msup31885 Kg msup3






Sika Fumereg











pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS









119881 = 119875prime119908 + 119875119903 + 119875119894 sup2 + 119875sup2119888 + 119875sup2119907

1198751198882

119875prime119908

ℎ119908 = 25m

1198751198942

ℎ119894 = 15mℎ119888 = 20m

119867119908 = 50m119867119871 = 40m

119875119907

ℎ119907 = 13m

119875119903

119889119898119886119909 = 043m

V



Alto Cali 212 54 25 18 207 441










1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V


119875ℎ=1

2γ119871 119867sup2119871 B = 160 ton

ℎ = 13m

ℎ119888 = 20m





119889119898119886119909= 119871

2119862119888119868 =

30119898

2x 0023 x 125 = 043m

119889119898119886119909 = 043m

119889119898119886119909 =119871

2119862119888 I




TANQUES Y PISCINAS




Cali






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



Bogotaacute




1198751198882= 24 ton119875prime119908 = 29 ton

ℎ119908 = 1m

1198751198942= 45 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 12 ton



119889119898119886119909 = 013m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 225 ton

ℎ = 10m



Barranquilla




1198751198882= 11 ton119875prime119908 = 14 ton

ℎ119908 = 1m

1198751198942= 23 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 06 ton



119889119898119886119909 = 007m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 69 ton

ℎ = 10m







1198751198882

119875prime119908

ℎ119908 = 1m

1198751198942

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892

V

ℎ = 10m



Alto Cali 172 9 23 55 302 389






ℎ = 06m

119867119871 = 18m119875ℎ=

1

2γ119871 119867sup2119871 B = 19 ton






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



sismo

V=38 ton

V=38 ton











ACI 350M-06





h = Espesor muro mm


119878119889 =Ф119891119910

γ119891119904ge 10

γ =119862119886119903119892119886119904 119898119886119910119900119903119886119889119886119904

119862119886119903119892119886119904 sin119898119886119910119900119903119886119903

119891119904119898119886119909 =56000

β 1199042 + 4 50 +1198891198872

2

β=ℎminus119888

119889minus119888






119878119889 =Ф119891119910

γ119891119904ge 10 γ = 14 Sd =

Фfy

γfs= 09 420MPa

14 160MPa= 169

U = 169 14(D+F)




119878119889 =Ф119891119910

γ119891119904ge 10 γ = 13 Sd =

Фfy

γfs= 09 420MPa

13 160MPa= 182

U=182 12 D + F + T + 16 L + H + 05(Lr)


































1700 -2100 Kg msup31885 Kg msup3






Sika Fumereg











pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS











1198751198882= 27 ton119875prime119908 = 18 ton

ℎ119908 = 25m

1198751198942= 106 ton

ℎ119894 = 15m

119867119908 = 50m119867119871 = 40m

119875119907 = 25 ton

ℎ119907 = 13m

119875119903 = 207 ton

119889119898119886119909 = 043m

V


119875ℎ=1

2γ119871 119867sup2119871 B = 160 ton

ℎ = 13m

ℎ119888 = 20m





119889119898119886119909= 119871

2119862119888119868 =

30119898

2x 0023 x 125 = 043m

119889119898119886119909 = 043m

119889119898119886119909 =119871

2119862119888 I




TANQUES Y PISCINAS




Cali






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



Bogotaacute




1198751198882= 24 ton119875prime119908 = 29 ton

ℎ119908 = 1m

1198751198942= 45 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 12 ton



119889119898119886119909 = 013m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 225 ton

ℎ = 10m



Barranquilla




1198751198882= 11 ton119875prime119908 = 14 ton

ℎ119908 = 1m

1198751198942= 23 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 06 ton



119889119898119886119909 = 007m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 69 ton

ℎ = 10m







1198751198882

119875prime119908

ℎ119908 = 1m

1198751198942

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892

V

ℎ = 10m



Alto Cali 172 9 23 55 302 389






ℎ = 06m

119867119871 = 18m119875ℎ=

1

2γ119871 119867sup2119871 B = 19 ton






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



sismo

V=38 ton

V=38 ton











ACI 350M-06





h = Espesor muro mm


119878119889 =Ф119891119910

γ119891119904ge 10

γ =119862119886119903119892119886119904 119898119886119910119900119903119886119889119886119904

119862119886119903119892119886119904 sin119898119886119910119900119903119886119903

119891119904119898119886119909 =56000

β 1199042 + 4 50 +1198891198872

2

β=ℎminus119888

119889minus119888






119878119889 =Ф119891119910

γ119891119904ge 10 γ = 14 Sd =

Фfy

γfs= 09 420MPa

14 160MPa= 169

U = 169 14(D+F)




119878119889 =Ф119891119910

γ119891119904ge 10 γ = 13 Sd =

Фfy

γfs= 09 420MPa

13 160MPa= 182

U=182 12 D + F + T + 16 L + H + 05(Lr)


































1700 -2100 Kg msup31885 Kg msup3






Sika Fumereg











pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS








119889119898119886119909= 119871

2119862119888119868 =

30119898

2x 0023 x 125 = 043m

119889119898119886119909 = 043m

119889119898119886119909 =119871

2119862119888 I




TANQUES Y PISCINAS




Cali






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



Bogotaacute




1198751198882= 24 ton119875prime119908 = 29 ton

ℎ119908 = 1m

1198751198942= 45 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 12 ton



119889119898119886119909 = 013m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 225 ton

ℎ = 10m



Barranquilla




1198751198882= 11 ton119875prime119908 = 14 ton

ℎ119908 = 1m

1198751198942= 23 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 06 ton



119889119898119886119909 = 007m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 69 ton

ℎ = 10m







1198751198882

119875prime119908

ℎ119908 = 1m

1198751198942

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892

V

ℎ = 10m



Alto Cali 172 9 23 55 302 389






ℎ = 06m

119867119871 = 18m119875ℎ=

1

2γ119871 119867sup2119871 B = 19 ton






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



sismo

V=38 ton

V=38 ton











ACI 350M-06





h = Espesor muro mm


119878119889 =Ф119891119910

γ119891119904ge 10

γ =119862119886119903119892119886119904 119898119886119910119900119903119886119889119886119904

119862119886119903119892119886119904 sin119898119886119910119900119903119886119903

119891119904119898119886119909 =56000

β 1199042 + 4 50 +1198891198872

2

β=ℎminus119888

119889minus119888






119878119889 =Ф119891119910

γ119891119904ge 10 γ = 14 Sd =

Фfy

γfs= 09 420MPa

14 160MPa= 169

U = 169 14(D+F)




119878119889 =Ф119891119910

γ119891119904ge 10 γ = 13 Sd =

Фfy

γfs= 09 420MPa

13 160MPa= 182

U=182 12 D + F + T + 16 L + H + 05(Lr)


































1700 -2100 Kg msup31885 Kg msup3






Sika Fumereg











pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS





TANQUES Y PISCINAS




Cali






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



Bogotaacute




1198751198882= 24 ton119875prime119908 = 29 ton

ℎ119908 = 1m

1198751198942= 45 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 12 ton



119889119898119886119909 = 013m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 225 ton

ℎ = 10m



Barranquilla




1198751198882= 11 ton119875prime119908 = 14 ton

ℎ119908 = 1m

1198751198942= 23 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 06 ton



119889119898119886119909 = 007m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 69 ton

ℎ = 10m







1198751198882

119875prime119908

ℎ119908 = 1m

1198751198942

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892

V

ℎ = 10m



Alto Cali 172 9 23 55 302 389






ℎ = 06m

119867119871 = 18m119875ℎ=

1

2γ119871 119867sup2119871 B = 19 ton






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



sismo

V=38 ton

V=38 ton











ACI 350M-06





h = Espesor muro mm


119878119889 =Ф119891119910

γ119891119904ge 10

γ =119862119886119903119892119886119904 119898119886119910119900119903119886119889119886119904

119862119886119903119892119886119904 sin119898119886119910119900119903119886119903

119891119904119898119886119909 =56000

β 1199042 + 4 50 +1198891198872

2

β=ℎminus119888

119889minus119888






119878119889 =Ф119891119910

γ119891119904ge 10 γ = 14 Sd =

Фfy

γfs= 09 420MPa

14 160MPa= 169

U = 169 14(D+F)




119878119889 =Ф119891119910

γ119891119904ge 10 γ = 13 Sd =

Фfy

γfs= 09 420MPa

13 160MPa= 182

U=182 12 D + F + T + 16 L + H + 05(Lr)


































1700 -2100 Kg msup31885 Kg msup3






Sika Fumereg











pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS






Cali






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



Bogotaacute




1198751198882= 24 ton119875prime119908 = 29 ton

ℎ119908 = 1m

1198751198942= 45 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 12 ton



119889119898119886119909 = 013m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 225 ton

ℎ = 10m



Barranquilla




1198751198882= 11 ton119875prime119908 = 14 ton

ℎ119908 = 1m

1198751198942= 23 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 06 ton



119889119898119886119909 = 007m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 69 ton

ℎ = 10m







1198751198882

119875prime119908

ℎ119908 = 1m

1198751198942

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892

V

ℎ = 10m



Alto Cali 172 9 23 55 302 389






ℎ = 06m

119867119871 = 18m119875ℎ=

1

2γ119871 119867sup2119871 B = 19 ton






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



sismo

V=38 ton

V=38 ton











ACI 350M-06





h = Espesor muro mm


119878119889 =Ф119891119910

γ119891119904ge 10

γ =119862119886119903119892119886119904 119898119886119910119900119903119886119889119886119904

119862119886119903119892119886119904 sin119898119886119910119900119903119886119903

119891119904119898119886119909 =56000

β 1199042 + 4 50 +1198891198872

2

β=ℎminus119888

119889minus119888






119878119889 =Ф119891119910

γ119891119904ge 10 γ = 14 Sd =

Фfy

γfs= 09 420MPa

14 160MPa= 169

U = 169 14(D+F)




119878119889 =Ф119891119910

γ119891119904ge 10 γ = 13 Sd =

Фfy

γfs= 09 420MPa

13 160MPa= 182

U=182 12 D + F + T + 16 L + H + 05(Lr)


































1700 -2100 Kg msup31885 Kg msup3






Sika Fumereg











pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS






Bogotaacute




1198751198882= 24 ton119875prime119908 = 29 ton

ℎ119908 = 1m

1198751198942= 45 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 12 ton



119889119898119886119909 = 013m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 225 ton

ℎ = 10m



Barranquilla




1198751198882= 11 ton119875prime119908 = 14 ton

ℎ119908 = 1m

1198751198942= 23 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 06 ton



119889119898119886119909 = 007m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 69 ton

ℎ = 10m







1198751198882

119875prime119908

ℎ119908 = 1m

1198751198942

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892

V

ℎ = 10m



Alto Cali 172 9 23 55 302 389






ℎ = 06m

119867119871 = 18m119875ℎ=

1

2γ119871 119867sup2119871 B = 19 ton






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



sismo

V=38 ton

V=38 ton











ACI 350M-06





h = Espesor muro mm


119878119889 =Ф119891119910

γ119891119904ge 10

γ =119862119886119903119892119886119904 119898119886119910119900119903119886119889119886119904

119862119886119903119892119886119904 sin119898119886119910119900119903119886119903

119891119904119898119886119909 =56000

β 1199042 + 4 50 +1198891198872

2

β=ℎminus119888

119889minus119888






119878119889 =Ф119891119910

γ119891119904ge 10 γ = 14 Sd =

Фfy

γfs= 09 420MPa

14 160MPa= 169

U = 169 14(D+F)




119878119889 =Ф119891119910

γ119891119904ge 10 γ = 13 Sd =

Фfy

γfs= 09 420MPa

13 160MPa= 182

U=182 12 D + F + T + 16 L + H + 05(Lr)


































1700 -2100 Kg msup31885 Kg msup3






Sika Fumereg











pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS






Barranquilla




1198751198882= 11 ton119875prime119908 = 14 ton

ℎ119908 = 1m

1198751198942= 23 ton

ℎ119894 = 07mℎ119888 = 08m

119867119871 = 18m

119875119907 = 06 ton



119889119898119886119909 = 007m

ℎ119907 = 06m


V

119867119908 = 20m119875119890119892 = 69 ton

ℎ = 10m







1198751198882

119875prime119908

ℎ119908 = 1m

1198751198942

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892

V

ℎ = 10m



Alto Cali 172 9 23 55 302 389






ℎ = 06m

119867119871 = 18m119875ℎ=

1

2γ119871 119867sup2119871 B = 19 ton






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



sismo

V=38 ton

V=38 ton











ACI 350M-06





h = Espesor muro mm


119878119889 =Ф119891119910

γ119891119904ge 10

γ =119862119886119903119892119886119904 119898119886119910119900119903119886119889119886119904

119862119886119903119892119886119904 sin119898119886119910119900119903119886119903

119891119904119898119886119909 =56000

β 1199042 + 4 50 +1198891198872

2

β=ℎminus119888

119889minus119888






119878119889 =Ф119891119910

γ119891119904ge 10 γ = 14 Sd =

Фfy

γfs= 09 420MPa

14 160MPa= 169

U = 169 14(D+F)




119878119889 =Ф119891119910

γ119891119904ge 10 γ = 13 Sd =

Фfy

γfs= 09 420MPa

13 160MPa= 182

U=182 12 D + F + T + 16 L + H + 05(Lr)


































1700 -2100 Kg msup31885 Kg msup3






Sika Fumereg











pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS










1198751198882

119875prime119908

ℎ119908 = 1m

1198751198942

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892

V

ℎ = 10m



Alto Cali 172 9 23 55 302 389






ℎ = 06m

119867119871 = 18m119875ℎ=

1

2γ119871 119867sup2119871 B = 19 ton






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



sismo

V=38 ton

V=38 ton











ACI 350M-06





h = Espesor muro mm


119878119889 =Ф119891119910

γ119891119904ge 10

γ =119862119886119903119892119886119904 119898119886119910119900119903119886119889119886119904

119862119886119903119892119886119904 sin119898119886119910119900119903119886119903

119891119904119898119886119909 =56000

β 1199042 + 4 50 +1198891198872

2

β=ℎminus119888

119889minus119888






119878119889 =Ф119891119910

γ119891119904ge 10 γ = 14 Sd =

Фfy

γfs= 09 420MPa

14 160MPa= 169

U = 169 14(D+F)




119878119889 =Ф119891119910

γ119891119904ge 10 γ = 13 Sd =

Фfy

γfs= 09 420MPa

13 160MPa= 182

U=182 12 D + F + T + 16 L + H + 05(Lr)


































1700 -2100 Kg msup31885 Kg msup3






Sika Fumereg











pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS







ℎ = 06m

119867119871 = 18m119875ℎ=

1

2γ119871 119867sup2119871 B = 19 ton






1198751198882= 45 ton119875prime119908 = 55 ton

ℎ119908 = 1m

1198751198942= 86 ton

ℎ119894 = 07mℎ119888 = 08m

119867119908 = 20m

119867119871 = 18m

119875119907 = 23 ton

ℎ119907 = 06m


119889119898119886119909 = 026m

119875119890119892 = 302 ton

V

ℎ = 10m



sismo

V=38 ton

V=38 ton











ACI 350M-06





h = Espesor muro mm


119878119889 =Ф119891119910

γ119891119904ge 10

γ =119862119886119903119892119886119904 119898119886119910119900119903119886119889119886119904

119862119886119903119892119886119904 sin119898119886119910119900119903119886119903

119891119904119898119886119909 =56000

β 1199042 + 4 50 +1198891198872

2

β=ℎminus119888

119889minus119888






119878119889 =Ф119891119910

γ119891119904ge 10 γ = 14 Sd =

Фfy

γfs= 09 420MPa

14 160MPa= 169

U = 169 14(D+F)




119878119889 =Ф119891119910

γ119891119904ge 10 γ = 13 Sd =

Фfy

γfs= 09 420MPa

13 160MPa= 182

U=182 12 D + F + T + 16 L + H + 05(Lr)


































1700 -2100 Kg msup31885 Kg msup3






Sika Fumereg











pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS






sismo

V=38 ton

V=38 ton











ACI 350M-06





h = Espesor muro mm


119878119889 =Ф119891119910

γ119891119904ge 10

γ =119862119886119903119892119886119904 119898119886119910119900119903119886119889119886119904

119862119886119903119892119886119904 sin119898119886119910119900119903119886119903

119891119904119898119886119909 =56000

β 1199042 + 4 50 +1198891198872

2

β=ℎminus119888

119889minus119888






119878119889 =Ф119891119910

γ119891119904ge 10 γ = 14 Sd =

Фfy

γfs= 09 420MPa

14 160MPa= 169

U = 169 14(D+F)




119878119889 =Ф119891119910

γ119891119904ge 10 γ = 13 Sd =

Фfy

γfs= 09 420MPa

13 160MPa= 182

U=182 12 D + F + T + 16 L + H + 05(Lr)


































1700 -2100 Kg msup31885 Kg msup3






Sika Fumereg











pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS












ACI 350M-06





h = Espesor muro mm


119878119889 =Ф119891119910

γ119891119904ge 10

γ =119862119886119903119892119886119904 119898119886119910119900119903119886119889119886119904

119862119886119903119892119886119904 sin119898119886119910119900119903119886119903

119891119904119898119886119909 =56000

β 1199042 + 4 50 +1198891198872

2

β=ℎminus119888

119889minus119888






119878119889 =Ф119891119910

γ119891119904ge 10 γ = 14 Sd =

Фfy

γfs= 09 420MPa

14 160MPa= 169

U = 169 14(D+F)




119878119889 =Ф119891119910

γ119891119904ge 10 γ = 13 Sd =

Фfy

γfs= 09 420MPa

13 160MPa= 182

U=182 12 D + F + T + 16 L + H + 05(Lr)


































1700 -2100 Kg msup31885 Kg msup3






Sika Fumereg











pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS








h = Espesor muro mm


119878119889 =Ф119891119910

γ119891119904ge 10

γ =119862119886119903119892119886119904 119898119886119910119900119903119886119889119886119904

119862119886119903119892119886119904 sin119898119886119910119900119903119886119903

119891119904119898119886119909 =56000

β 1199042 + 4 50 +1198891198872

2

β=ℎminus119888

119889minus119888






119878119889 =Ф119891119910

γ119891119904ge 10 γ = 14 Sd =

Фfy

γfs= 09 420MPa

14 160MPa= 169

U = 169 14(D+F)




119878119889 =Ф119891119910

γ119891119904ge 10 γ = 13 Sd =

Фfy

γfs= 09 420MPa

13 160MPa= 182

U=182 12 D + F + T + 16 L + H + 05(Lr)


































1700 -2100 Kg msup31885 Kg msup3






Sika Fumereg











pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS







119878119889 =Ф119891119910

γ119891119904ge 10 γ = 14 Sd =

Фfy

γfs= 09 420MPa

14 160MPa= 169

U = 169 14(D+F)




119878119889 =Ф119891119910

γ119891119904ge 10 γ = 13 Sd =

Фfy

γfs= 09 420MPa

13 160MPa= 182

U=182 12 D + F + T + 16 L + H + 05(Lr)


































1700 -2100 Kg msup31885 Kg msup3






Sika Fumereg











pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS







119878119889 =Ф119891119910

γ119891119904ge 10 γ = 13 Sd =

Фfy

γfs= 09 420MPa

13 160MPa= 182

U=182 12 D + F + T + 16 L + H + 05(Lr)


































1700 -2100 Kg msup31885 Kg msup3






Sika Fumereg











pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS





































1700 -2100 Kg msup31885 Kg msup3






Sika Fumereg











pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS










pulg mm





ACI 224R-CEB-FIP







sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS









sitio















ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS













ACI 3502R-04


ACI 3503-06


ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS





ACI 3502R-04












Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS














Fisura inducida

Corte

02D oacute 5cm

Fisura inducida

Corte

02D oacute 5cm














Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS















Fisura inducida

Corte


02D oacute 5cm










SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS













SS

h

5m lt S lt 65m


h = altura del muro





S lt 80m





24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS







24b lt S lt 36b



S S




























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS






























119864119909119901119886119899119904119894oacute119899 119888119900119899119888119903119890119905119900 = 100119898 119909 20 119909 1111990910 minus6 = 0022m (22cm)







S

h

L













S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS
















S
























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS























Fisura inducida

Corte

02D oacute 5cm
































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS



































































































Sikaplan 15 PR



CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS





CONCLUSIONES

NSR-10

AIS 180-13

ACI 350M-06

ACI 3503-06

ACI 3502R-04

ACI 2243R-95



CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS





CONCLUSIONES






CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS





CONCLUSIONES




CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS





CONCLUSIONES



CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS





CONCLUSIONES


GRACIAS





GRACIAS




GRACIAS




GRACIAS





GRACIAS




GRACIAS




GRACIAS




GRACIAS




GRACIAS




¿por quÉ se presentan fallas y reclamos en ... en la losa aligerada 2. tubería de electricidad...

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