ALTURA DE LA LOSACALCULO DE LA ALTURA "h"Alturas recomendables "hrec"DESCRIPCIONALTURAS RECOMENDABLES "hr"ESQUEMACaso-ICaso-IICaso-IIICaso-IVTramos simplemente apoyadosL/24L/20L/18L/14Un extremo continuoL/28L/24L/20L/18Dos extremos continuosL/32L/28L/24L/20voladisosL/16L/14L/12L/10CASO-I . Entrepisos que no han de soportar muros ni tabiques.CASO-II . Entrepisos que soportan muros y tabiques, construidos con mortero de yeso.CASO-III . Entrepisos que soportan muros y tabiques, construidos con mortero de cal.CASO-IV . Entrepisos que soportan muros y tabiques, construidos con mortero de cemento.Por no conocer los planos arquitectnicos en la estructura del proyecto tomaremos el CASO II, en todas las placas:CASO-II. Entrepisos que soportan muros y tabiques, construidos con mortero de yeso.CALCULO DE LA ALTURA RECOMENDABLE "h rec"PLACA[1 - 2 - 3 - 4 - 5 - 25 - 26 - 27 - 28 - 29]PLACA[6 - 7 - 8 - 9 - 10 - 13 - 19 - 20 - 21 - 22 - 23 - 24]Tramo simplemente apoyadosUn extremo continuoL =6.0L =7.0h rec =25.00cmh rec =29.17cmPLACA11 - 12 - 17 - 18PLACA14 - 15 - 16Dos extremos continuosUn extremo continuoL =7.0L =6.0h rec =25.00cmh rec =21.43cmPor los clculos realizados de cada placa y por los resultados obtenidos asumimos la Altura Recomendable:h =25.00cm

SEPARACION DE LOS NERVIOSCALCULO DE NUMEROS DE ESPACIAMIENTO DE NERVIOS Y LA DISTANCIA "e"1. CALCULO DE LA SEPARACION PARA EL NERVIO N 1.Generalmente la sepracion de los nervios esta comprendido entre 40 - 100 cm.CALCULO DE NUMERO DE NERVIOS "n":Para:e =0.5mL =20mbv =0.3mn =38.40CALCULO DE SEPARACION DE NERVIOS "e":Para :n =39L =20mbv =0.3me =49.25cmPara :n =38L =20mbv =0.3me =50.5128205128cmPara :n =37L =20mbv =0.3me =51.8421052632cmPor lo cual adoptamos la separacion y el N de nervios sera:NUMERO DE NERVIOS :n =39SEPARACION DE NERVIOS :e =49.30cm2. CALCULO DE LA SEPARACION PARA EL NERVIO N 2.Generalmente la sepracion de los nervios esta comprendido entre 40 - 100 cm.CALCULO DE NUMERO DE NERVIOS "n":Para :e =0.5mL =7mbv =0.3mn =12.4CALCULO DE SEPARACION DE NERVIOS "e":Para :n =13L =7mbv =0.3me =47.9cmPara :n =12L =7mbv =0.3me =51.5384615385cmPara :n =14L =7mbv =0.3me =44.6666666667cmPor lo cual adoptamos la separacion y el N de nervios sera:NUMERO DE NERVIOS :n =13SEPARACION DE NERVIOS :e =47.90cm3. CALCULO DE LA SEPARACION PARA EL NERVIO N 3.Generalmente la sepracion de los nervios esta comprendido entre 40 - 100 cm.CALCULO DE NUMERO DE NERVIOS "n":Para:e =0.5mL =6mbv =0.3mn =10.4CALCULO DE SEPARACION DE NERVIOS "e":Para :n =11L =6mbv =0.3me =47.5cmPara :n =10L =6mbv =0.3me =51.8181818182cmPara :n =12L =6mbv =0.3me =43.8461538462cmPor lo cual adoptamos la separacion y el N de nervios sera:NUMERO DE NERVIOS :n =11SEPARACION DE NERVIOS :e =47.50cm4. CALCULO DE LA SEPARACION PARA EL NERVIO N 4.Generalmente la sepracion de los nervios esta comprendido entre 40 - 50 cm.CALCULO DE NUMERO DE NERVIOS "n":Para :e =0.5mL =2mbv =0.15mn =2.70CALCULO DE SEPARACION DE NERVIOS "e":Para :n =3L =2mbv =0.15me =46.3cmPara :n =2L =2mbv =0.15me =61.6666666667cmPara :n =4L =2mbv =0.15me =37cmPor lo cual adoptamos la separacion y el N de nervios sera:NUMERO DE NERVIOS :n =3SEPARACION DE NERVIOS :e =46.30cmNOTA: COMO PODEMOS VER LA SEPARACION DE LOS NERVIOS VARIAN ENTRE 46 Y 49 cm ESTO ES DEBIDO ALA SECCION DE VIGA QUE SE TIENE, PERO COMO SE TRATA SOLO DEL DISEO DE LA LOSA ASUMIREMOSUNA SEPARACION DE 50 cm PARA TODOS LOS CASOS COMO SE MUESTRA A CONTINUACION.NERVIO 1NUMERO DE NERVIOS :n =39SEPARACION DE NERVIOS :e =50.00cmNERVIO 2NUMERO DE NERVIOS :n =13SEPARACION DE NERVIOS :e =50.00cmNERVIO 3NUMERO DE NERVIOS :n =11SEPARACION DE NERVIOS :e =50.00cmNERVIO 4NUMERO DE NERVIOS :n =3SEPARACION DE NERVIOS :e =50.00cm

ANALISIS DE CARGA2. ANALISIS DE CARGAa).- ANALISIS DE CARGA MUERTA Y SOBRE CARGADATOS GENERALESSOBRE CARGATERRAZA ACCESO Q1 =300[Kg/m^2]CALERIA COMERCIAL Q2 =350[Kg/m^2]PESO ESPECIFICO DE LOS MATERIALES:HOMIGON=2500[Kg/m^3]MORTERO=2200[Kg/m^3]YESO=1250[Kg/m^3]ACERO=7850[Kg/m^3]CARACTERISTICAS DEL MATERIAL:fck=210[Kg/cm^2]fyk=4200[Kg/cm^2]NIVEL DE CONTROL:REDUCIDO1s =1.2c =1.7f =1.8ANALISIS DE CARGA PARA EL MURO:Ladrillo de 6 huecos "INCERPAZ"Volumen Ladrillo=0.0036m3N Ladrillos fila vertical =9pzasN Ladrillos fila horizontal =4pzasN ladrillos por m2 =36pzasVolumen del muro por m2 =0.15m3Volumen del ladrillo por m2 =0.1296m3Ancho (m)=0.10Volumen de la junta =0.0346153846m3Largo (m)=0.24Alto (m)=0.15Peso del Ladrillo por m2 =97.2Kg/m2P. Nominal (kg) =2.70Peso de la Junta por m2 =76.1538461538Kg/m2Junta Vt y Hzt (m) =0.02Peso Rev. Int. por m2 =18.75Kg/m2Revoq. Int. e (cm) =1.5Peso Rev. Ext. por m2 =44Kg/m2Revoq. Ext. e (cm) =2Peso Total Muro =236.1038461538Kg/m2 Mortero (Kg/m3) =2200 Yeso (Kg/m3) =1250Altura del Muro =1.50mPESO LINEALIZADO MURO354.00Kg/mANALISIS DE CARGA PARA EL NERVIOdatosh =0.25mb =0.12mt =0.05mS =0.38mbe =0.50mPESO PROPIO =245.00Kg/mCARGA PERMANENTEDESCRIPCIONEspesor(m)P.E. [Kg/m^3]PESO PARCIAL[Kg/m^2]PESO PROPIO0.252500245CARPETA DE NIIVELACION0.03220066PISO CERAMICA20CIELO FALSO0.02125025PESO TABIQUERIA100PESO TOTAL EN LOSA =211[Kg/m^2]NOTA:EL peso total de la losa =211[Kg/m^2]solo considera el peso a cargar el peso sobre la losa,porque el peso propio de la losa , vigas, columnas y escaleras se considerara mediante el programaSAP2000.SOBRE CARGATERRAZA ACCESO Q1 =300[Kg/m^2]CALERIA COMERCIAL Q2 =350[Kg/m^2]RESUMEN DE LAS CARGASG =211[Kg/m^2]Q1 =300[Kg/m^2]Q2 =350[Kg/m^2]P1 =511[Kg/m^2]P2 =561[Kg/m^2]LAS CARGAS POR NERVIO SERAN:G=211*0,50 =105.5[Kg/m]Q1=300*0,50 =150.0[Kg/m]Q2=350*0,50 =175.0[Kg/m]P1=255.5[Kg/m]P2=280.5[Kg/m]VALORES UTILIZADOS PARA EL SAP2000CONCRETO217370.65[Kg/cm^2] =0.2Segn normaACERO2000000[Kg/cm^2] =0.3Segn norma

1= REDUCIDO2= NORMAL3= INTENSOPESO PROPIO=[_(HA" " )]*[ "bh + ts " /"be" ]Ec=15000(f^ c [Kg/cm^2 ])Ec=E=

DISEO ESTRUCTURALDISEO ESTRUCTURALCALCULO DEL MOMENTO RESISTENTEC=0,85 * fcd * t * be( d - t/2 )fcd =123.5294117647Kp/cm2=0.124Tn/cm2fyd =3500Kp/cm2=3.50Tn/cm2h=25cmestribo=12mmd = h - estribo - 1/2principal - recprincipal=4.2mmrec=1.5cmd=22.09cmSi:Y = tMo =0.85*0.124*5*50*(22.09-2.5)=514.2375Tn.cm =5.14Tn.mMo =5.14Tn.mDISEO A FLEXIONNERVIO 1TRAMO 1-2 y TRAMO 7 - 8(Por simetria se tienen los mismos datos).s =1.2c =1.7f =1.8M(+)=1.25Tn.mr =1.5cmbe =50cmMd =2.25Tn.mfcd =123.53Kp/cm2=0.124Tn/cm2y5cmfyd =3500.00Kp/cm2=3.50Tn/cm225d = h - estribo - 1/2principal - rec20cmd=22.1cm12cmMomento que soporta el ala:Mo =0.85*0.1235294118*5*50*(22.09-2.5)=514.24Tn.cm =5.14Tn.mMo =5.14Tn.m>Md =2.25Tn.mTrabaja como seccin rectangular.b = be =50cmd =22.09cm2.250*1000.074653592w =0.07520.00000.000050*22.09^2*0.12352941180.0752*50*22.09*0.122.932cm23.500.0033As(min)=0.0033*12*25=1.00cm2Usar:0.30m22USAR:a =0.30mZONA MACIZA255cm20cm12cm30cm30cmTRAMO 2 - 3 y TRAMO 6 - 7(Por simetria se tienen los mismos datos).s =1.2c =1.7f =1.8M(+)=1.06Tn.mr =1.5cmbe =50cmMd =1.91Tn.mfcd =123.53Kp/cm2=0.124Tn/cm2y5cmfyd =3500.00Kp/cm2=3.50Tn/cm225d = h - estribo - 1/2principal - rec20cmd=22.1cm12cmMomento que soporta el ala:Mo =0.85*0.1235294118*5*50*(22.09-2.5)=514.24Tn.cm =5.14Tn.mMo =5.14Tn.m>Md =1.91Tn.mTrabaja como seccin rectangular.b = be =50cmd =22.09cm1.908*1000.063306246w =0.06290.00000.000050*22.09^2*0.12352941180.0629*50*22.09*0.122.451cm23.500.0033As(min)=0.0033*12*25=1.00cm2Usar:0.30m22USAR:a =0.30mZONA MACIZA255cm20cm12cm30cm30cmTRAMO 3 - 4 y TRAMO 5 - 6(Por simetria se tienen los mismos datos).s =1.2c =1.7f =1.8M(+)=1.15Tn.mr =1.5cmbe =50cmMd =2.07Tn.mfcd =123.53Kp/cm2=0.124Tn/cm2y5cmfyd =3500.00Kp/cm2=3.50Tn/cm225d = h - estribo - 1/2principal - rec20cmd=22.1cm12cmMomento que soporta el ala:Mo =0.85*0.1235294118*5*50*(22.09-2.5)=514.24Tn.cm =5.14Tn.mMo =5.14Tn.m>Md =2.07Tn.mTrabaja como seccin rectangular.b = be =50cmd =22.09cm2.070*1000.0686813046w =0.06870.00000.000050*22.09^2*0.12352941180.0687*50*22.09*0.122.678cm23.500.0033As(min)=0.0033*12*25=1.00cm2Usar:0.30m22USAR:a =0.30mZONA MACIZA255cm20cm12cm30cm30cmTRAMO 4 - 5s =1.2c =1.7f =1.8M(+)=0.76Tn.mr =1.5cmbe =50cmMd =1.37Tn.mfcd =123.53Kp/cm2=0.124Tn/cm2y5cmfyd =3500.00Kp/cm2=3.50Tn/cm225d = h - estribo - 1/2principal - rec20cmd=22.1cm12cmMomento que soporta el ala:Mo =0.85*0.1235294118*5*50*(22.09-2.5)=514.24Tn.cm =5.14Tn.mMo =5.14Tn.m>Md =1.37Tn.mTrabaja como seccin rectangular.b = be =50cmd =22.09cm1.368*1000.0453893839w =0.04380.00000.000050*22.09^2*0.12352941180.0438*50*22.09*0.121.706cm23.500.0033As(min)=0.0033*12*25=1.00cm2Usar:0.30m22USAR:a =0.30mZONA MACIZA255cm20cm12cm30cm30cmNERVIO 2TRAMO 6 - 7s =1.2c =1.7f =1.8M(+)=1.55Tn.mr =1.5cmbe =50cmMd =2.79Tn.mfcd =123.53Kp/cm2=0.124Tn/cm2y5cmfyd =3500.00Kp/cm2=3.50Tn/cm225d = h - estribo - 1/2principal - rec20cmd=22.1cm12cmMomento que soporta el ala:Mo =0.85*0.1235294118*5*50*(22.09-2.5)=514.24Tn.cm =5.14Tn.mMo =5.14Tn.m>Md =2.79Tn.mTrabaja como seccin rectangular.b = be =50cmd =22.09cm2.790*1000.092570454w =0.09510.00000.000050*22.09^2*0.12352941180.0951*50*22.09*0.123.708cm23.500.0033As(min)=0.0033*12*25=1.00cm2Usar:0.45m22USAR:a =0.45mZONA MACIZA255cm20cm12cm45cm45cmTRAMO 7 - 8s =1.2c =1.7f =1.8M(+)=1.12Tn.mr =1.5cmbe =50cmMd =2.02Tn.mfcd =123.53Kp/cm2=0.124Tn/cm2y5cmfyd =3500.00Kp/cm2=3.50Tn/cm225d = h - estribo - 1/2principal - rec20cmd=22.1cm12cmMomento que soporta el ala:Mo =0.85*0.1235294118*5*50*(22.09-2.5)=514.24Tn.cm =5.14Tn.mMo =5.14Tn.m>Md =2.02Tn.mTrabaja como seccin rectangular.b = be =50cmd =22.09cm2.016*1000.0668896184w =0.06670.00000.000050*22.09^2*0.12352941180.0667*50*22.09*0.122.602cm23.500.0033As(min)=0.0033*12*25=1.00cm2Md =2.36Tn.mTrabaja como seccin rectangular.b = be =50cmd =22.09cm2.358*1000.0782369644w =0.07920.00000.000050*22.09^2*0.12352941180.0792*50*22.09*0.123.086cm23.500.0033As(min)=0.0033*12*25=1.00cm2Usar:0.45m22USAR:a =0.45mZONA MACIZA255cm20cm12cm45cm45cmTRAMO 7 - 8s =1.2c =1.7f =1.8M(+)=0.96Tn.mr =1.5cmbe =50cmMd =1.73Tn.mfcd =123.53Kp/cm2=0.124Tn/cm2y5cmfyd =3500.00Kp/cm2=3.50Tn/cm225d = h - estribo - 1/2principal - rec20cmd=22.1cm12cmMomento que soporta el ala:Mo =0.85*0.1235294118*5*50*(22.09-2.5)=514.24Tn.cm =5.14Tn.mMo =5.14Tn.m>Md =1.73Tn.mTrabaja como seccin rectangular.b = be =50cmd =22.09cm1.728*1000.0573339586w =0.05640.00000.000050*22.09^2*0.12352941180.0564*50*22.09*0.122.200cm23.500.0033As(min)=0.0033*12*25=1.00cm2Md =2.18Tn.mTrabaja como seccin rectangular.b = be =50cmd =22.09cm2.178*1000.072264677w =0.07260.00000.000050*22.09^2*0.12352941180.0726*50*22.09*0.122.830cm23.500.0033As(min)=0.0033*12*25=1.00cm2Usar:0.40m22USAR:a =0.40mZONA MACIZA255cm20cm12cm40cm40cmTRAMO 4 - 5s =1.2c =1.7f =1.8M(+)=0.60Tn.mr =1.5cmbe =50cmMd =1.08Tn.mfcd =123.53Kp/cm2=0.124Tn/cm2y5cmfyd =3500.00Kp/cm2=3.50Tn/cm225d = h - estribo - 1/2principal - rec20cmd=22.1cm12cmMomento que soporta el ala:Mo =0.85*0.1235294118*5*50*(22.09-2.5)=514.24Tn.cm =5.14Tn.mMo =5.14Tn.m>Md =1.08Tn.mTrabaja como seccin rectangular.b = be =50cmd =22.09cm1.080*1000.0358337241w =0.03370.00000.000050*22.09^2*0.12352941180.0337*50*22.09*0.121.315cm23.500.0033As(min)=0.0033*12*25=1.00cm2Usar:0.40m22USAR:a =0.40mZONA MACIZA255cm20cm12cm40cm40cm

numero de barrasdiametro de la barranumero de barrasdiametro de la barranumero de barrasdiametro de la barranumero de barrasdiametro de la barraRESOLVER EL POLINOMIOREDONDEARnumero de barrasdiametro de la barranumero de barrasdiametro de la barranumero de barrasdiametro de la barranumero de barrasdiametro de la barraRESOLVER EL POLINOMIOREDONDEARnumero de barrasdiametro de la barranumero de barrasdiametro de la barranumero de barrasdiametro de la barranumero de barrasdiametro de la barraRESOLVER EL POLINOMIOREDONDEARnumero de barrasdiametro de la barranumero de barrasdiametro de la barraRESOLVER EL POLINOMIOREDONDEARnumero de barrasdiametro de la barranumero de barrasdiametro de la barranumero de barrasdiametro de la barranumero de barrasdiametro de la barraRESOLVER EL POLINOMIOREDONDEARnumero de barrasdiametro de la barranumero de barrasdiametro de la barranumero de barrasdiametro de la barranumero de barrasdiametro de la barranumero de barrasdiametro de la barranumero de barrasdiametro de la barraRESOLVER EL POLINOMIOREDONDEARnumero de barrasdiametro de la barranumero de barrasdiametro de la barranumero de barrasdiametro de la barranumero de barrasdiametro de la barranumero de barrasdiametro de la barranumero de barrasdiametro de la barranumero de barrasdiametro de la barranumero de barrasdiametro de la barranumero de barrasdiametro de la barraRESOLVER EL POLINOMIOREDONDEARnumero de barrasdiametro de la barranumero de barrasdiametro de la barranumero de barrasdiametro de la barranumero de barrasdiametro de la barranumero de barrasdiametro de la barraRESOLVER EL POLINOMIOREDONDEAR1233377475

DISEO A CORTEDISEO A CORTENERVIO 1TRAMO 1 - 2 y TRAMO 8 - 7ENVOLVENTE DE CORTANTES:a =0.30cm1.0050cm0.880.30525200.301.3512cm1.476.0mLADO IZQUIERDOZONA MACIZA:=0.5*210^0,5*50*22.09=8002.8628080831Kp=8.00Tn8002.8628080831=4446.0348933795Kp=4.446Tn>0.88TnOK1.8ZONA NERVADA:=0.5*210^0,5*12*22.09=1920.68707394Kg1920.68707394=1067.0483744111Kp=1.07Tn>0.877Tn1.8no son necesarios los estribos de calculoRequiere estribos minimosSmax = 30cm =30cmUSAR:4.2C/30cmLADO DERECHOZONA MACIZA:=0.5*210^0,5*50*22.09=8002.8628080831Kp=8.00Tn8002.8628080831=4446.0348933795Kp=4.446Tn>1.35TnOK1.8ZONA NERVADA:=0.5*210^0,5*12*22.09=1920.68707394Kg1920.68707394=1067.0483744111Kp=1.067Tn1.33TnOK1.8ZONA NERVADA:=0.5*210^0,5*12*22.09=1920.68707394Kg1920.68707394=1067.0483744111Kp=1.07Tn1.34TnOK1.8ZONA NERVADA:=0.5*210^0,5*12*22.09=1920.68707394Kg1920.68707394=1067.0483744111Kp=1.067Tn1.36TnOK1.8ZONA NERVADA:=0.5*210^0,5*12*22.09=1920.68707394Kg1920.68707394=1067.0483744111Kp=1.07Tn1.31TnOK1.8ZONA NERVADA:=0.5*210^0,5*12*22.09=1920.68707394Kg1920.68707394=1067.0483744111Kp=1.067Tn1.16TnOK1.8ZONA NERVADA:=0.5*210^0,5*12*22.09=1920.68707394Kg1920.68707394=1067.0483744111Kp=1.07Tn1.16TnOK1.8ZONA NERVADA:=0.5*210^0,5*12*22.09=1920.68707394Kg1920.68707394=1067.0483744111Kp=1.067Tn0.94TnOK1.8ZONA NERVADA:=0.5*210^0,5*12*22.09=1920.68707394Kg1920.68707394=1067.0483744111Kp=1.07Tn>0.940Tn1.8no son necesarios los estribos de calculoRequiere estribos minimosSmax = 30cm =30cmUSAR:4.2C/30cmLADO DERECHOZONA MACIZA:=0.5*210^0,5*50*22.09=8002.8628080831Kp=8.00Tn8002.8628080831=4446.0348933795Kp=4.446Tn>1.50TnOK1.8ZONA NERVADA:=0.5*210^0,5*12*22.09=1920.68707394Kg1920.68707394=1067.0483744111Kp=1.067Tn1.34TnOK1.8ZONA NERVADA:=0.5*210^0,5*12*22.09=1920.68707394Kg1920.68707394=1067.0483744111Kp=1.07Tn0.76TnOK1.8ZONA NERVADA:=0.5*210^0,5*12*22.09=1920.68707394Kg1920.68707394=1067.0483744111Kp=1.067Tn>0.76Tn1.8no son necesarios los estribos de calculoRequiere estribos minimosSmax = 30cm =30cmUSAR:4.2C/30cmNERVIO 3TRAMO 6 - 7ENVOLVENTE DE CORTANTES:a =0.45cm0.9950cm0.830.45525200.451.3912cm1.557.0mLADO IZQUIERDOZONA MACIZA:=0.5*210^0,5*50*22.09=8002.8628080831Kp=8.00Tn8002.8628080831=4446.0348933795Kp=4.446Tn>0.83TnOK1.8ZONA NERVADA:=0.5*210^0,5*12*22.09=1920.68707394Kg1920.68707394=1067.0483744111Kp=1.07Tn>0.827Tn1.8no son necesarios los estribos de calculoRequiere estribos minimosSmax = 30cm =30cmUSAR:4.2C/30cmLADO DERECHOZONA MACIZA:=0.5*210^0,5*50*22.09=8002.8628080831Kp=8.00Tn8002.8628080831=4446.0348933795Kp=4.446Tn>1.39TnOK1.8ZONA NERVADA:=0.5*210^0,5*12*22.09=1920.68707394Kg1920.68707394=1067.0483744111Kp=1.067Tn1.26TnOK1.8ZONA NERVADA:=0.5*210^0,5*12*22.09=1920.68707394Kg1920.68707394=1067.0483744111Kp=1.07Tn0.68TnOK1.8ZONA NERVADA:=0.5*210^0,5*12*22.09=1920.68707394Kg1920.68707394=1067.0483744111Kp=1.067Tn>0.68Tn1.8no son necesarios los estribos de calculoRequiere estribos minimosSmax = 30cm =30cmUSAR:4.2C/30cmNERVIO 4TRAMO 3 - 4 y TRAMO 6 - 5ENVOLVENTE DE CORTANTES:a =0.40cm0.9750cm0.830.40525200.401.3812cm1.527.0mLADO IZQUIERDOZONA MACIZA:=0.5*210^0,5*50*22.09=8002.8628080831Kp=8.00Tn8002.8628080831=4446.0348933795Kp=4.446Tn>0.83TnOK1.8ZONA NERVADA:=0.5*210^0,5*12*22.09=1920.68707394Kg1920.68707394=1067.0483744111Kp=1.07Tn>0.828Tn1.8no son necesarios los estribos de calculoRequiere estribos minimosSmax = 30cm =30cmUSAR:4.2C/30cmLADO DERECHOZONA MACIZA:=0.5*210^0,5*50*22.09=8002.8628080831Kp=8.00Tn8002.8628080831=4446.0348933795Kp=4.446Tn>1.38TnOK1.8ZONA NERVADA:=0.5*210^0,5*12*22.09=1920.68707394Kg1920.68707394=1067.0483744111Kp=1.067Tn1.07TnOK1.8ZONA NERVADA:=0.5*210^0,5*12*22.09=1920.68707394Kg1920.68707394=1067.0483744111Kp=1.07Tn>1.066Tn1.8no son necesarios los estribos de calculoRequiere estribos minimosSmax = 30cm =30cmUSAR:4.2C/30cmLADO DERECHOZONA MACIZA:=0.5*210^0,5*50*22.09=8002.8628080831Kp=8.00Tn8002.8628080831=4446.0348933795Kp=4.446Tn>1.07TnOK1.8ZONA NERVADA:=0.5*210^0,5*12*22.09=1920.68707394Kg1920.68707394=1067.0483744111Kp=1.067Tn>1.07Tn1.8no son necesarios los estribos de calculoRequiere estribos minimosSmax = 30cm =30cmUSAR:4.2C/30cm

Hoja3LONGITUD DE ANCLAJEm: COEFICIENETE EN FUNCION DEL fck y fykfck=210fyk=4200m=15POSICION IPOSICION IITOMAR EL MAYOR VALOR DEC LOS TRES CASOSTOMAR EL MAYOR VALOR DE LOS TRES CASOSPOSICION IPOSICION IISUMIDO(mm)lb 1lb 2lb 3lb 1lb 2lb 3lb (cm)POS Ilb (cm)POS II81017151324151724101521152130152130122225153036152536163834155448153854206042158460156084

lb=m ^2lb=fyk/200 lb=15 cmlb=fyk/140 lb=1,4m ^2lb=15 cm

ANCLAJEPUNTOS DE CORTE DEL ACERO NEGATIVONERVIO 1APOYO 2Datos:fck=210s =1.2123.5fyk=4200c =1.7f =1.83500.0Parafck=210fyk=4200m =15LONGITU DE ANGLAJEBARA DE EXTREMO A EXTREMO41030.24cmBARRA A CORTARCE36cm112Lb =15cmSE ADOPTALb =36cmCALCULO DEL MOMENTO RESISTENTE:As=3.142b=50d=22.1w=0.0805536578D.2.a.0.0760565595D.2.b.0.0760567301De la tabla universal se tiene=0.07606D.3.0.0766310059Md =229.4360201428T-cmMomento resitente seraM=1.2746T-mDe la Ecuacin de la Elstica:A la Izquierda:Carga Total (p) =0.28t/m.Cortante en el Apoyo =1.47t.Momento en el Apoyo =1.67t*m.-0.14X2 +1.47X-0.40=0Xa=0.28mA la Derecha:Carga Total (p) =0.28t/m.Cortante en el Apoyo =1.45t.Momento en el Apoyo =1.70t*m.-0.14X2 +1.45X-0.43=0Xb=0.30m.PUNTOS REALES DE CORTEa=0.86m.b=0.88m.NERVIO 1APOYO 3Datos:fck=210s =1.2123.5fyk=4200c =1.7f =1.83500.0Parafck=210fyk=4200m =15LONGITU DE ANGLAJEBARA DE EXTREMO A EXTREMO41030.24cmBARRA A CORTARCE36cm112Lb =15cmSE ADOPTALb =36cmCALCULO DEL MOMENTO RESISTENTE:As=3.142b=50d=22.1w=0.0805536578D.2.a.0.0760565595D.2.b.0.0760567301De la tabla universal se tiene=0.07606D.3.0.0766310059Md =229.4360201428T-cmMomento resitente seraM=1.2746T-mDe la Ecuacin de la Elstica:A la Izquierda:Carga Total (p) =0.28t/m.Cortante en el Apoyo =1.46t.Momento en el Apoyo =1.78t*m.-0.14X2 +1.46X-0.51=0Xa=0.36mA la Derecha:Carga Total (p) =0.28t/m.Cortante en el Apoyo =1.48t.Momento en el Apoyo =1.76t*m.-0.14X2 +1.48X-0.49=0Xb=0.34m.PUNTOS REALES DE CORTEa=0.94m.b=0.92m.NERVIO 1APOYO 4Datos:fck=210s =1.2123.5fyk=4200c =1.7f =1.83500.0Parafck=210fyk=4200m =15LONGITU DE ANGLAJEBARA DE EXTREMO A EXTREMO21221cmBARRA A CORTARCE30cm210Lb =15cmSE ADOPTALb =30cmCALCULO DEL MOMENTO RESISTENTE:As=2.262b=50d=22.1w=0.0579986336D.2.a.0.055393924D.2.b.0.0552995106De la tabla universal se tiene=0.05539D.3.0.0559651309Md =167.1040808865T-cmMomento resitente seraM=0.9284T-mDe la Ecuacin de la Elstica:A la Izquierda:Carga Total (p) =0.28t/m.Cortante en el Apoyo =1.43t.Momento en el Apoyo =1.56t*m.-0.14X2 +1.43X-0.63=0Xa=0.46mA la Derecha:Carga Total (p) =0.28t/m.Cortante en el Apoyo =1.29t.Momento en el Apoyo =1.51t*m.-0.14X2 +1.29X-0.58=0Xb=0.48m.PUNTOS REALES DE CORTEa=0.98m.b=1.00m.NERVIO 2APOYO 7Datos:fck=210s =1.2123.5fyk=4200c =1.7f =1.83500.0Parafck=210fyk=4200m =15LONGITU DE ANGLAJEBARA DE EXTREMO A EXTREMO41221cmBARRA A CORTARCE30cm110Lb =15cmSE ADOPTALb =30cmCALCULO DEL MOMENTO RESISTENTE:As=4.524b=50d=22.1w=0.1159972672D.2.a.0.1076114679D.2.b.0.1074636324De la tabla universal se tiene=0.10746D.3.0.1078632563Md =324.1801667933T-cmMomento resitente seraM=1.8010T-mDe la Ecuacin de la Elstica:A la Izquierda:Carga Total (p) =0.28t/m.Cortante en el Apoyo =1.68t.Momento en el Apoyo =2.06t*m.-0.14X2 +1.68X-0.26=0Xa=0.16mA la Derecha:Carga Total (p) =0.28t/m.Cortante en el Apoyo =1.53t.Momento en el Apoyo =1.85t*m.-0.14X2 +1.53X-0.05=0Xb=0.03m.PUNTOS REALES DE CORTEa=0.68m.b=0.55m.NERVIO 3APOYO 7Datos:fck=210s =1.2123.5fyk=4200c =1.7f =1.83500.0Parafck=210fyk=4200m =15LONGITU DE ANGLAJEBARA DE EXTREMO A EXTREMO21030.24cmBARRA A CORTARCE36cm312Lb =15cmSE ADOPTALb =36cmCALCULO DEL MOMENTO RESISTENTE:As=1.571b=50d=22.1w=0.0402768289D.2.a.0.0388161874D.2.b.0.0385695773De la tabla universal se tiene=0.03882D.3.0.0392961659Md =117.0948516304T-cmMomento resitente seraM=0.6505T-mDe la Ecuacin de la Elstica:A la Izquierda:Carga Total (p) =0.28t/m.Cortante en el Apoyo =1.55t.Momento en el Apoyo =1.97t*m.-0.14X2 +1.55X-1.32=0Xa=0.93mA la Derecha:Carga Total (p) =0.28t/m.Cortante en el Apoyo =1.43t.Momento en el Apoyo =1.81t*m.-0.14X2 +1.43X-1.16=0Xb=0.89m.PUNTOS REALES DE CORTEa=1.51m.b=1.47m.NERVIO 4APOYO 4Datos:fck=210s =1.2123.5fyk=4200c =1.7f =1.83500.0Parafck=210fyk=4200m =15LONGITU DE ANGLAJEBARA DE EXTREMO A EXTREMO21230.24cmBARRA A CORTARCE36cm212Lb =15cmSE ADOPTALb =36cmCALCULO DEL MOMENTO RESISTENTE:As=2.262b=50d=22.1w=0.0579986336D.2.a.0.055393924D.2.b.0.0552995106De la tabla universal se tiene=0.05539D.3.0.0559651309Md =167.1040808865T-cmMomento resitente seraM=0.9284T-mDe la Ecuacin de la Elstica:A la Izquierda:Carga Total (p) =0.28t/m.Cortante en el Apoyo =1.51t.Momento en el Apoyo =1.76t*m.-0.14X2 +1.51X-0.83=0Xa=0.58mA la Derecha:Carga Total (p) =0.28t/m.Cortante en el Apoyo =1.23t.Momento en el Apoyo =1.38t*m.-0.14X2 +1.23X-0.45=0Xb=0.38m.PUNTOS REALES DE CORTEa=1.16m.b=0.97m.NERVIO 4APOYO 5Datos:fck=210s =1.2123.5fyk=4200c =1.7f =1.83500.0Parafck=210fyk=4200m =15LONGITU DE ANGLAJEBARA DE EXTREMO A EXTREMO21230.24cmBARRA A CORTARCE36cm212Lb =15cmSE ADOPTALb =36cmCALCULO DEL MOMENTO RESISTENTE:As=2.262b=50d=22.1w=0.0579986336D.2.a.0.055393924D.2.b.0.0552995106De la tabla universal se tiene=0.05539D.3.0.0559651309Md =167.1040808865T-cmMomento resitente seraM=0.9284T-mDe la Ecuacin de la Elstica:A la Izquierda:Carga Total (p) =0.28t/m.Cortante en el Apoyo =1.23t.Momento en el Apoyo =1.38t*m.-0.14X2 +1.23X-0.45=0Xa=0.38mA la Derecha:Carga Total (p) =0.28t/m.Cortante en el Apoyo =1.52t.Momento en el Apoyo =1.76t*m.-0.14X2 +1.52X-0.83=0Xb=0.58m.PUNTOS REALES DE CORTEa=0.97m.b=1.16m.

Hoja1CUANTIA LOSA NERVADAPosic.DiamN deLong. UnitariaLong. TotalPeso UnitarioPeso ParcialPeso Total(mm)Barras(m)(m)(Kg/m)(Kg)(Kg)P11246.0024.000.8921.3121.31P21024.308.600.625.3126.62P31047.0028.000.6217.2843.89P41223.587.160.896.3650.25P51047.0028.000.6217.2867.53P61224.649.280.898.2475.77P71026.0012.000.627.4083.17P8613.743.740.220.8384.00P91241.746.960.896.1890.18P101084.4835.840.6222.11112.30P111081.8614.880.629.18121.48P121225.0010.000.898.88130.36P131041.987.920.624.89135.24P141244.1216.480.8914.63149.88P15643.8215.280.223.39153.27P16642.108.400.221.86155.14P17642.5410.160.222.26157.39P18621.883.760.220.83158.23P194.21380.74102.120.1010.21168.44P201011.231.230.620.76169.20P211244.4417.760.8915.77184.97P22624.929.840.222.18187.15P23623.647.280.221.62188.77P241227.0014.000.8912.43201.20P251024.248.480.625.23206.43P261026.0012.000.627.40213.84P271213.443.440.893.05216.89P284.21230.7491.020.109.10225.99P294.2120.748.880.100.89226.88P301232.988.940.897.94234.82P311024.058.100.625.00239.82P32625.1010.200.222.26242.08P33623.917.820.221.74243.82P341227.0014.000.8912.43256.25P351013.953.950.622.44258.69P361026.0012.000.627.40266.09P371014.194.190.622.59268.68P381262.1312.780.8911.35280.03P391044.6018.400.6211.35291.38P401247.0028.000.8924.86316.24P411022.765.520.623.41319.65P421026.0012.000.627.40327.05P4363060.50153.000.2233.97361.02P446216.0032.000.227.10368.12P456213.0026.000.225.77373.89P466213.0026.000.225.77379.67P476220.0040.000.228.88388.55TOTAL =388.55PESO TOTAL DEL ACERO (Kg)388.55VOLUMEN DE LOS NERVIOSbw (m)hi (m)t (m)be (m)L (m)VOLUMEN(m^3)TOTAL(m^3)NERVIO 10.120.150.050.5461.9781.98NERVIO 20.120.150.050.5130.5592.54NERVIO 30.120.150.050.5130.5593.10NERVIO 40.120.150.050.5200.863.96TOTAL =3.96VOLUMEN ZONA MACIZAhi (m)be (m)a (m)NVOLUMEN(m^3)TOTAL(m^3)NERVIO 10.150.50.6070.3150.315NERVIO 20.150.50.9020.1350.45NERVIO 30.150.50.9020.1350.585NERVIO 40.150.50.8030.180.765TOTAL =0.765VOLUMEN TOTAL DEL HORMIGON(m3)=4.72CUANTIA (Kg/m3)82.3015950011

MBD000D1720.unknown

MBD000FB911.unknown

MBD00118D3C.unknown

MBD0011E1E3.unknown

MBD0011E1EB.unknown

MBD00126C89.unknown

MBD0012E62D.unknown

MBD0012E62F.unknown

MBD0012E630.unknown

MBD0012E62E.unknown

MBD0012E62B.unknown

MBD0012E62C.unknown

MBD0012E62A.unknown

MBD0011E1EF.unknown

MBD00126C85.unknown

MBD00126C87.unknown

MBD00126C88.unknown

MBD00126C86.unknown

MBD0011E1F1.unknown

MBD00126C83.unknown

MBD00126C84.unknown

MBD0011E1F2.unknown

MBD0011E1F0.unknown

MBD0011E1ED.unknown

MBD0011E1EE.unknown

MBD0011E1EC.unknown

MBD0011E1E7.unknown

MBD0011E1E9.unknown

MBD0011E1EA.unknown

MBD0011E1E8.unknown

MBD0011E1E5.unknown

MBD0011E1E6.unknown

MBD0011E1E4.unknown

MBD00118D44.unknown

MBD00118D48.unknown

MBD0011B1D3.unknown

MBD0011B1D5.unknown

MBD0011D5D5.unknown

MBD0011B1D4.unknown

MBD00118D4A.unknown

MBD0011B1D1.unknown

MBD0011B1D2.unknown

MBD0011B1CF.unknown

MBD0011B1D0.unknown

MBD00118D4B.unknown

MBD00118D49.unknown

MBD00118D46.unknown

MBD00118D47.unknown

MBD00118D45.unknown

MBD00118D40.unknown

MBD00118D42.unknown

MBD00118D43.unknown

MBD00118D41.unknown

MBD00118D3E.unknown

MBD00118D3F.unknown

MBD00118D3D.unknown

MBD0010E8D0.unknown

MBD0010E8D8.unknown

MBD0010E8DC.unknown

MBD0010E8E0.unknown

MBD001137F6.unknown

MBD001145B0.unknown

MBD00111EB7.unknown

MBD0011229A.unknown

MBD0010E8E1.unknown

MBD0010E8DD.unknown

MBD0010E8DA.unknown

MBD0010E8DB.unknown

MBD0010E8D9.unknown

MBD0010E8D4.unknown

MBD0010E8D6.unknown

MBD0010E8D7.unknown

MBD0010E8D5.unknown

MBD0010E8D2.unknown

MBD0010E8D3.unknown

MBD0010E8D1.unknown

MBD00108246.unknown

MBD0010E8CC.unknown

MBD0010E8CE.unknown

MBD0010E8CF.unknown

MBD0010E8CD.unknown

MBD0010E8CA.unknown

MBD0010E8CB.unknown

MBD0010E85C.unknown

MBD0010E8C9.unknown

MBD0010A935.unknown

MBD00108242.unknown

MBD00108244.unknown

MBD00108245.unknown

MBD00108243.unknown

MBD00108240.unknown

MBD00108241.unknown

MBD000FB912.unknown

MBD000DC983.unknown

MBD000DE685.unknown

MBD000DE68D.unknown

MBD000FB909.unknown

MBD000FB90D.unknown

MBD000FB90F.unknown

MBD000FB910.unknown

MBD000FB90E.unknown

MBD000FB90B.unknown

MBD000FB90C.unknown

MBD000FB90A.unknown

MBD000DE691.unknown

MBD000FB905.unknown

MBD000FB907.unknown

MBD000FB908.unknown

MBD000FB906.unknown

MBD000DE693.unknown

MBD000FB903.unknown

MBD000FB904.unknown

MBD000DE694.unknown

MBD000DE692.unknown

MBD000DE68F.unknown

MBD000DE690.unknown

MBD000DE68E.unknown

MBD000DE689.unknown

MBD000DE68B.unknown

MBD000DE68C.unknown

MBD000DE68A.unknown

MBD000DE687.unknown

MBD000DE688.unknown

MBD000DE686.unknown

MBD000DC98B.unknown

MBD000DC98F.unknown

MBD000DE683.unknown

MBD000DE684.unknown

MBD000DE682.unknown

MBD000DC98D.unknown

MBD000DC98E.unknown

MBD000DC98C.unknown

MBD000DC987.unknown

MBD000DC989.unknown

MBD000DC98A.unknown

MBD000DC988.unknown

MBD000DC985.unknown

MBD000DC986.unknown

MBD000DC984.unknown

MBD000D187A.unknown

MBD000D1882.unknown

MBD000DC97F.unknown

MBD000DC981.unknown

MBD000DC982.unknown

MBD000DC980.unknown

MBD000DC97D.unknown

MBD000DC97E.unknown

MBD000D1883.unknown

MBD000D187E.unknown

MBD000D1880.unknown

MBD000D1881.unknown

MBD000D187F.unknown

MBD000D187C.unknown

MBD000D187D.unknown

MBD000D187B.unknown

MBD000D1872.unknown

MBD000D1876.unknown

MBD000D1878.unknown

MBD000D1879.unknown

MBD000D1877.unknown

MBD000D1874.unknown

MBD000D1875.unknown

MBD000D1873.unknown

MBD000D1724.unknown

MBD000D1726.unknown

MBD000D1871.unknown

MBD000D1725.unknown

MBD000D1722.unknown

MBD000D1723.unknown

MBD000D1721.unknown

MBD000C7A53.unknown

MBD000D13BB.unknown

MBD000D1620.unknown

MBD000D1718.unknown

MBD000D171C.unknown

MBD000D171E.unknown

MBD000D171F.unknown

MBD000D171D.unknown

MBD000D171A.unknown

MBD000D171B.unknown

MBD000D1719.unknown

MBD000D1714.unknown

MBD000D1716.unknown

MBD000D1717.unknown

MBD000D1715.unknown

MBD000D1622.unknown

MBD000D1623.unknown

MBD000D1621.unknown

MBD000D1618.unknown

MBD000D161C.unknown

MBD000D161E.unknown

MBD000D161F.unknown

MBD000D161D.unknown

MBD000D161A.unknown

MBD000D161B.unknown

MBD000D1619.unknown

MBD000D1614.unknown

MBD000D1616.unknown

MBD000D1617.unknown

MBD000D1615.unknown

MBD000D1612.unknown

MBD000D1613.unknown

MBD000D1611.unknown

MBD000D13AB.unknown

MBD000D13B3.unknown

MBD000D13B7.unknown

MBD000D13B9.unknown

MBD000D13BA.unknown

MBD000D13B8.unknown

MBD000D13B5.unknown

MBD000D13B6.unknown

MBD000D13B4.unknown

MBD000D13AF.unknown

MBD000D13B1.unknown

MBD000D13B2.unknown

MBD000D13B0.unknown

MBD000D13AD.unknown

MBD000D13AE.unknown

MBD000D13AC.unknown

MBD000C7A5B.unknown

MBD000D0532.unknown

MBD000D0536.unknown

MBD000D13A9.unknown

MBD000D13AA.unknown

MBD000D0537.unknown

MBD000D0534.unknown

MBD000D0535.unknown

MBD000D0533.unknown

MBD000C7A5F.unknown

MBD000D052E.unknown

MBD000D0530.unknown

MBD000D0531.unknown

MBD000D052F.unknown

MBD000D052C.unknown

MBD000D052D.unknown

MBD000D052A.unknown

MBD000D052B.unknown

MBD000D0528.unknown

MBD000D0529.unknown

MBD000C7A60.unknown

MBD000C7A5D.unknown

MBD000C7A5E.unknown

MBD000C7A5C.unknown

MBD000C7A57.unknown

MBD000C7A59.unknown

MBD000C7A5A.unknown

MBD000C7A58.unknown

MBD000C7A55.unknown

MBD000C7A56.unknown

MBD000C7A54.unknown

MBD00060971.unknown

MBD00071022.unknown

MBD000A4552.unknown

MBD000A455A.unknown

MBD000C7A4F.unknown

MBD000C7A51.unknown

MBD000C7A52.unknown

MBD000C7A50.unknown

MBD000A455C.unknown

MBD000C7A4E.unknown

MBD000A455B.unknown

MBD000A4556.unknown

MBD000A4558.unknown

MBD000A4559.unknown

MBD000A4557.unknown

MBD000A4554.unknown

MBD000A4555.unknown

MBD000A4553.unknown

MBD00075010.unknown

MBD000A454E.unknown

MBD000A4550.unknown

MBD000A4551.unknown

MBD000A454F.unknown

MBD00075012.unknown

MBD000A454D.unknown

MBD00075011.unknown

MBD0007500C.unknown

MBD0007500E.unknown

MBD0007500F.unknown

MBD0007500D.unknown

MBD00075008.unknown

MBD0007500A.unknown

MBD0007500B.unknown

MBD00075009.unknown

MBD00071024.unknown

MBD00075006.unknown

MBD00075007.unknown

MBD00075004.unknown

MBD00075005.unknown

MBD00075003.unknown

MBD00071023.unknown

MBD00060A78.unknown

MBD00060B3D.unknown

MBD0007101E.unknown

MBD00071020.unknown

MBD00071021.unknown

MBD0007101F.unknown

MBD0007101A.unknown

MBD0007101C.unknown

MBD0007101D.unknown

MBD0007101B.unknown

MBD0006D407.unknown

MBD00071018.unknown

MBD00071019.unknown

MBD00071016.unknown

MBD00071017.unknown

MBD00071015.unknown

MBD00060B3E.unknown

MBD00060B39.unknown

MBD00060B3B.unknown

MBD00060B3C.unknown

MBD00060B3A.unknown

MBD00060B37.unknown

MBD00060B38.unknown

MBD00060A79.unknown

MBD0006097A.unknown

MBD00060A74.unknown

MBD00060A76.unknown

MBD00060A77.unknown

MBD00060A75.unknown

MBD00060A72.unknown

MBD00060A73.unknown

MBD00060A71.unknown

MBD00060975.unknown

MBD00060977.unknown

MBD00060978.unknown

MBD00060976.unknown

MBD00060973.unknown

MBD00060974.unknown

MBD00060972.unknown

MBD000598AD.unknown

MBD00060732.unknown

MBD00060867.unknown

MBD0006086B.unknown

MBD0006086D.unknown

MBD0006086E.unknown

MBD0006086C.unknown

MBD00060869.unknown

MBD0006086A.unknown

MBD00060868.unknown

MBD00060736.unknown

MBD00060739.unknown

MBD00060866.unknown

MBD00060737.unknown

MBD00060734.unknown

MBD00060735.unknown

MBD00060733.unknown

MBD0005CDAA.unknown

MBD0005CDAE.unknown

MBD00060730.unknown

MBD00060731.unknown

MBD0005CDAF.unknown

MBD0005CDAC.unknown

MBD0005CDAD.unknown

MBD0005CDAB.unknown

MBD000598B1.unknown

MBD0005CDA8.unknown

MBD0005CDA9.unknown

MBD000598B2.unknown

MBD000598AF.unknown

MBD000598B0.unknown

MBD000598AE.unknown

MBD0004AD83.unknown

MBD000576B9.unknown

MBD000598A9.unknown

MBD000598AB.unknown

MBD000598AC.unknown

MBD000598AA.unknown

MBD000576BB.unknown

MBD000576BC.unknown

MBD000576BA.unknown

MBD000576B5.unknown

MBD000576B7.unknown

MBD000576B8.unknown

MBD000576B6.unknown

MBD000576B3.unknown

MBD000576B4.unknown

MBD000516FE.unknown

MBD00056072.unknown

MBD0004AD7B.unknown

MBD0004AD7F.unknown

MBD0004AD81.unknown

MBD0004AD82.unknown

MBD0004AD80.unknown

MBD0004AD7D.unknown

MBD0004AD7E.unknown

MBD0004AD7C.unknown

MBD000295FA.unknown

MBD000295FC.unknown

MBD00029606.unknown

MBD000295FB.unknown

MBD000295F8.unknown

MBD000295F9.unknown

MBD000295F6.unknown

MBD000295F7.unknown

MBD000295F5.unknown