diseÑo hidraulico y estructural de un canal tipo cajon

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DISEÑO DE CANAL RECTANGULAR TIPO CAJÓN PROYECTO : INSTALACIÓN DEL SERVICIO DE CANALIZACIÓN DE LA QUEBRADA SANTA LUCÍA UBICACION : DISTRITO: CHACHAPOYAS, PROVINCIA: CHACHAPOYAS, REGION: AMAZONAS DATOS: = 6.25 m³/s :Caudal Máximo S = 0.015 :Pendiente del fondo de la Alcantarilla hr n = 0.014 :Coef.de rugosidad del concreto S/C H20 :Sobrecarga del vehículo e ### :Capacidad portante del terreno = 3.50 m :Altura de relleno h ### :Peso específico del suelo ### :Peso específico del concreto ### :Peso específico del asfalto ### :Resistencia del concreto ### :Resistencia del acero Recubr. = 5.00 cm :Recubrimiento Long. = 601.19 m :Dimensión longitudinal DETERMINACION DE DIMENSIONES Se hallará sus dimensiones para condiciones críticas, mediante la fórmula de Manning. Q = A.R⅔.S½ Q.n = A.R⅔ n Q.n 6.25 * 0.014 0.714 0.015 0.500 Para condiciones críticas: Rc Ac Pc 0.714 1 En un canal rectangular, para flujo crítico se tiene: 6.250 g.b² 9.81(b)² 1.585 2 b⅔ Reemplazando (2) en (1): b 1.585 b⅔ 0.71 b+ 2 1.585 b⅔ Por tanteo, se obtiene: b = 0.82 b mín. = 1.23 Adoptamos: b = 2.00 m Reemplazando "b" en la ecuación (2), obtenemos: 1.00 1.00 m Adoptando BL = 0.50 m h = 1.00 + 0.50 h = 1.50 Adoptamos: h = 1.50 m El espesor de la losa superior será: e = L/12 , donde "L" es la mayor longitud transversal e 2.00 = 0.17 m 12.00 Se asume: e = 0.25 m El espesor de las paredes será: Se asume: e = 0.20 m El espesor de la losa de fondo será: Se asume: e = 0.20 m Qmáx σt hr s c asf f 'c f y Ac. = b.Yc b.Yc b + 2Yc Ac.Rc⅔ b.Yc. b.Yc (b.Yc) b + 2Yc (b + 2Yc)⅔ (b.Yc) (b + 2Yc)⅔ Yc³ Yc³ Yc Yc = Yc = Yc + BL = γ γ γ γ 5 3 5 3 5 3

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DISEÑO DE ALCANTARILLA TIPO CAJON

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DiseoDISEO DE CANAL RECTANGULAR TIPO CAJNPROYECTO :INSTALACIN DEL SERVICIO DE CANALIZACIN DE LA QUEBRADA SANTA LUCAUBICACION :DISTRITO: CHACHAPOYAS, PROVINCIA: CHACHAPOYAS, REGION: AMAZONASDATOS:Qmx= 6.25 m/s:Caudal MximoS= 0.015:Pendiente del fondo de la Alcantarillahrn= 0.014:Coef.de rugosidad del concretoS/CH20:Sobrecarga del vehculoet= 0.56 kg/cm:Capacidad portante del terrenoBLhr= 3.50 m:Altura de rellenohs= 1800 kg/cm:Peso especfico del sueloYcc= 2400 kg/cm:Peso especfico del concretoasf= 2000 kg/cm:Peso especfico del asfaltof 'c= 210 kg/cm:Resistencia del concretof y= 4200 kg/cm:Resistencia del aceroRecubr.= 5.00 cm:RecubrimientoLong.= 601.19 m:Dimensin longitudinalDETERMINACION DE DIMENSIONESSe hallar sus dimensiones para condiciones crticas, mediante la frmula de Manning.Q = A.R.SQ.n =A.RnSQ.n6.250.0140.714S0.0150.500Para condiciones crticas:Ac. = b.YcRcAcb.YcPcb + 2YcAc.Rcb.Yc.b.Yc(b.Yc)b + 2Yc(b + 2Yc)(b.Yc)0.7141(b + 2Yc)En un canal rectangular, para flujo crtico se tiene:YcQYc6.250g.b9.81(b)Yc1.5852bReemplazando (2) en (1):b1.585b0.71b+ 21.585bPor tanteo, se obtiene:b =0.82b mn. =1.23Adoptamos:b =2.00 mReemplazando "b" en la ecuacin (2), obtenemos:Yc =1.00Yc =1.00 mAdoptando BL =0.50 mh =Yc + BL =1.00 +0.50h =1.50Adoptamos:h =1.50 mEl espesor de la losa superior ser:e = L/12 , donde "L" es la mayor longitud transversale2.00= 0.17 m12.00Se asume:e =0.25 mEl espesor de las paredes ser:Se asume:e =0.20 mEl espesor de la losa de fondo ser:Se asume:e =0.20 m3.502.400.251.951.501.731.002.002.20=lxESTUDIO DE LA CARGA VIVA: CAMIN H20 (2 ejes)4.200LLANTAS ANTERIORESLLANTAS POSTERIORESTOTALESH20 =3.6TN(4TN)14.4TN(16TN)18TN (20TN)H15 =2.4TN(3TN)10.8TN(12TN)13.5TN (15TN)H10 =1.8TN(2TN)7.2TN(8TN)9TN (10TN)Luego, para H 20 se tiene que la rueda ms pesada, su peso es:W = 0.4*WT =0.4020.00 =8.00 TNEl ancho efectivo segn la AASHTO, para luces comprendidas entre 0.60 y 3.50m es:E = 0.175 L + 0.90 ; L = b =2.00 mE = 0.175 *2.00 +0.90 =1.25E =1.30Coeficiente de Impacto: I15.24 0.30L + 38.1I15.2400.38> 0.3040.100EI =0.30Adems:En alcantarillas con relleno hasta 0.30 m:I =0.30En alcantarillas con relleno entre 0.30 y 0.60 m:I =0.20En alcantarillas con relleno entre 0.60 y 0.90 m:I =0.10En alcantarillas con relleno mayor de 0.90 m:I =No se considera impactoEn nuestro caso: hr=3.50 mI =0.00Se tomar:I =0.00Luego, la carga afectada por impacto ser:P =W (1 + I)= 8,000.00* (1 + 0.30)E1.30P =6,153.85KgTransformando a carga repartida:CVP =6,153.85lx2.20CV =2,797.203Kg/mlMETRADO DE CARGASCARGAS SOBRE LA LOSA SUPERIORPeso relleno = r.hr.Lu =1,800.003.501.006,300.00Kg/mPeso Pav. Rigido = as.ea.Lu =2,400.000.201.00480.00Kg/mPeso propio = c.ec.Lu =2,400.000.251.00600.00Kg/mWms7,380.00Kg/mSobrecarga o Carga Viva (CV):W vs2,797.20Kg/mCARGAS EN PAREDES LATERALESANGULO DE FRICCION INTERNA (grado) =10.00Coeficiente de Empuje Activo (RANKINE)ka = TAN2(45-/2) =0.70Rigidez del suelo (Kr)K = Kr*Aseparacin de los resortes (s)A = s*b1.00L =2.200.28A = s*b =0.28Kr =40,000.00K =11,000.00h1=3.63kaxh1xskaxCVh2=5.351.00kaxh2xsPresin unitaria en el extremo superior:PsCM = ka. h 1. s =0.703.631,800.00PsCM =4,594.18Kg/mPsCV = ka. CV =0.702,797.20PsCV =1,969.48Kg/mPresion unitaria en el extremo inferior:PiCM = ka. h 2. s =0.705.351,800.00PiCM =6,780.37Kg/mPiCV = ka. CV =0.702,797.20PiCV =1,969.48Kg/mLuego:Carga en el extremo superior:WESCM =4,594.181.004,594.18Kg/mlWESCV =1,969.481.001,969.48Kg/mlCarga en el extremo inferior:WEICM =6,780.371.006,780.37Kg/mlWEICV =1,969.481.001,969.48Kg/mlDIAGRAMA DE CARGASCM=7,380.00Kg/mlCV=2,797.20Kg/ml1,969.484,594.184,594.181,969.486,563.660ABKg/ml1.731.00CD1,969.486,780.376,780.371,969.488,749.850Kg/mlKg/mlKg/mlK (rigidez del suelo)2.20DIAGRAMA DE MOMENTOS FINALES OBTENIDOS DESPUS DEL ANLISISCON EL PROGRAMA EL SAP 2000DIAGRAMA DE CORTANTES FINALES OBTENIDOS DESPUES DEL ANALISISDISEO FINAL DEL CANALVERIFICACIN DEL ESPESOR DE LA LOSA SUPERIOR POR CORTANTE:Se debe cumplir que: Vc Vmaxdonde : =0.850Vmax. Segn Diagrama =15,180.000KgVc = Cortante tomado por el concreto.Vc = 0.53 f 'c b. h ;d = e - recub - ( 1/2")/2d =25.00- 5.00- 0.64= 19.37mVc =0.53210.00100.0025.00= 19,201.07 kg Vc =0.85019,201.07 Vc =16,320.91Kg> Vmax=15,180.000 OK !El espesor asumido de la losa es correctoVERIFICACIN DEL ESPESOR DE LA LOSA INFERIOR POR CORTANTE:Se debe cumplir que: Vc Vmaxdonde : =0.850Vmax. Segn Diagrama =12,720.000KgVc = Cortante tomado por el concreto.Vc = 0.53 f 'c b. h ;d = e - recub - ( 1/2")/2d =20.00- 5.00- 0.64= 14.37mVc =0.53210.00100.0020.00= 15,360.86 kg Vc =0.85015,360.86 Vc =13,056.73Kg> Vmax =12,720.000 OK !El espesor asumido de la losa es correctoCLCULO DE LOS REFUERZOS:Acero mnimo Losa SuperiorAs mn =0.00336b. dAs mn =0.0033610019.37 3/8" @10.92As mn =6.501cm 1/2" @19.54ASUMIR: As mn = 1/2" @0.18 m 5/8" @30.46As =MuaA s f y =0.900 f y ( d - a / 2 )0.85 f 'c ba =1.530Mmn =4,570.839Kg-mAcero mnimo Losa InferiorAs mn =0.00336b. dAs mn =0.003410014.37 3/8" @14.72As mn =4.823cm 1/2" @26.33ASUMIR: As mn = 1/2" @0.20 m 5/8" @41.06As =MuaA s f y =0.900 f y ( d - a / 2 )0.85 f 'c ba =1.135Mmn =2,515.198Kg-mAcero por flexin:LOSA SUPERIOR:M+ mx =4,740.000Kg-m> Mmina1 =37.14 cma2 =1.59 cma =1.59 cmAs =7.05 cm20.37510.0650.518.003ASUMIR:As =0.50.18 mAs min.Momento de agrietamiento:Mcr = ftr*Ig/cdonde:ftr = 2*(fc^0.5)(esfuerzo de traccin por flexin del concreto)Ig = (bxh^3)/12(momento de inercia de la seccin no agrietada)c = h/2(profundidad del eje neutro de la seccin agrietada)ftr =28.98 kg/cm2Ig =130,208.33 cm4c =12.50 cmMcr =3,019.037Kg-mMmin = 1.2Mcr =3,622.844Kg-ma1 =37.53 cma2 =1.20 cma =1.20 cmAs =5.28 cm20.524.07 cmASUMIR:As =0.50.20 mAcero de reparticin:Cuando el acero principal es paralelo al trfico, el AASTHO, recomienda usar un porcentaje del refuerzoprincipal.Porcentaje = 100/(S^0.5), mximo 50%S =2.20 m= 7.22 ftPorcentaje =37.22%ASUMIR:50.00%As reparticin =3.53 cm20.37520.13 cmASUMIR:As =0.50.20 mM- mx =2,730.000Kg-m< Mmina1 =37.83 cma2 =0.90 cma =0.90 cmAs =3.91 cm20.532.47 cmASUMIR:As =0.50.18 mAs min.LOSA INFERIOR:REFUERZO EN LA CARA SUPERIORM mx =1,860.000Kg-m< Mmina1 =26.59 cma2 =0.87 cma =0.87 cmd =20.0005.0001.2713.73 cmAs =3.83 cm20.533.19 cmASUMIR:As =0.50.20 mAs minMomento de agrietamiento:ftr = 2*(fc^0.5) =28.98 kg/cm2Ig = (bxh^3)/12 =066,666.67 cm4c = h/2 =10.00 cmMcr =1,932.184Kg-mMmn = 1.2Mcr =2,318.620Kg-ma1 =26.37 cma2 =0.87 cma =0.87 cmAs =4.77 cm20.526.62 cmASUMIR:As =0.50.25 mREFUERZO EN LA CARA INFERIORM+ mx =1,950.000Kg-m< Mmina1 =26.55 cma2 =0.91 cma =0.91 cmAs =4.03 cm20.531.55 cmASUMIR:As =0.50.20 mAs min.Refuerzo transversal:El refuerzo transversal ser el correspondiente al acero por temperaturaAst = .0018*b*d (usar la mitad en cada cara)Ast =4.61 cm2Ast/2 =2.30 cm20.37530.81 cmASUMIR:As =0.3750.25 mMUROS LATERALES:Acero mnimo Losa InferiorAs mn =0.00336b. dAs mn =0.003410014.37 3/8" @14.72As mn =4.824cm 1/2" @26.33ASUMIR: As mn = 1/2" @0.20 m 5/8" @41.04As =MuaA s f y =0.900 f y ( d - a / 2 )0.85 f 'c ba =1.135Mmn =2,516.949Kg-mCARA EXTERIORM mx =3,450.000Kg-m< Mmina1 =37.59 cma2 =1.14 cma =1.14 cmAs =5.01 cm20.525.36 cmASUMIR:As =0.50.20 mAs min.Momento de agrietamiento:ftr = 2*(fc^0.5) =28.98 kg/cm2Ig = (bxh^3)/12 =066,666.67 cm4c = h/2 =10.00 cmMcr =1,932.184Kg-mMmin = 1.2Mcr =2,318.620Kg-ma1 =37.97 cma2 =0.76 cma =0.76 cmAs =3.30 cm20.37521.54 cmASUMIR:As =0.3750.20 mCARA INTERIORM+ mx =490.000Kg-m< Mmina1 =38.57 cma2 =0.16 cma =0.16 cmAs =0.67 cm20.375105.20 cmASUMIR:As =0.50.20 mAs min.Refuerzo horizontal:El refuerzo horizontal ser el refuerzo por contraccin de flujo plstico y/o de temperatura ser mnimoAsmn =4.82 cm20.526.33 cmASUMIR:As =0.50.25 mAcero de Temperatura:As T =0.003356*b*d =0.003356100.0014.37As T =4.82 cm20.526.33 cmUSAR : As T =0.50.25 mLONGITUD DE ANCLAJE ( L ):L1 fsSi 3.5 = Dimetro de la varilla de acero4 adm =1.27 cmL20.06 Ab fySi 3.2Ab =rea de la varilla usadaf 'cAb =1.27 cmadm3.23 f 'c3.23210.0036.861.27Luego :L11.271,690.00= 14.56 cm436.86L20.061.274,200.00= 22.03 cm210.00USAR:L =25.00 cmDISTRIBUCIN ESTRUCTURAL DEL ACERO0.50.18 m0.50.18 m0.25 m0.50.20 m0.50.20 m0.50.20 m1.50 m0.50.25 m0.3750.25 m0.50.20 m0.50.20 m0.20 m0.20 m2.00 m2.00 m0.20 m

Municipalidad:Ver Hoja "ancho b"0.1W0.1W0.4W0.4W

metradosPLANILLA DE SUSTENTACION DE METRADOSPROYECTO :INSTALACIN DEL SERVICIO DE CANALIZACIN DE LA QUEBRADA SANTA LUCAUBICACION :DISTRITO: CHACHAPOYAS, PROVINCIA: CHACHAPOYAS, REGION: AMAZONASITEMPARTIDASNAREAL.A .H.SUBTOTALUND.(m2)(m.)(m.)(m.)TOTAL1.00TRABAJOS PRELIMINARES1.01LIMPIEZA DE TERRENO MANUAL3289.63M2- PUENTE CAJON1601.195.403246.43- CABEZALES25.402.0021.60- LOSA DE PIEDRA EMBOQUILLADA25.402.0021.601.02TRAZO Y REPLANTEO CON TEODOLITO1486.06M2- PUENTE CAJON1601.192.401442.86- CABEZALES25.402.0021.60- LOSA DE PIEDRA EMBOQUILLADA25.402.0021.60TRABAJOS PRELIMINARESTRAZO Y REPLANTEO C/E TOPOGRAFICO600.005.0030003000.00M2MOVIMIENTO DE TIERRASEXCAVACION PARA ESTRUCTURAS5436.00M3- CANAL RECTANGULAR1600.002.403.7755436.00RELLENO COMPACT. C/MATERIAL PRESTAMO7872.00M3- COSTADOS DEL CANAL2600.001.003.704440.00- ENCIMA DEL CANAL1600.003.401.402856.00- BASE DEL CANAL1600.002.400.40576.00MATERIAL DE PRESTAMO PARA RELLENO9446.40M3ACARREO DE MATERIAL EXCEDENTE1.2*5436.006523.20M3esponjamiento de 20%OBRAS DE CONCRETO SIMPLESOLADO E=0.075M, C:H= 1:121442.86M2- SOLADO DEL CANAL1601.192.401442.86OBRAS DE CONCRETO ARMADOCONCRETO F'C=210 KG/CM2 CANAL1010.00M3- LOSA SUPERIOR DEL CANAL1601.192.400.25360.714- PAREDES LATERALES DEL CANAL2601.190.201.50360.714- LOSA INFERIOR DEL CANAL1601.192.400.20288.571ENCOFRADO Y DESENC. DEL CANAL5350.59M2- FONDO LOSA SUPERIOR1601.192.001202.38- INTERIOR PAREDES LATERALES2601.191.501803.57- EXTERIOR PAREDES LATERALES2601.191.952344.64ACERO FY=4,200 KG/CM2 EN PUENTE CAJON105494.44KG.VARIOSJUNTAS WATER STOP (CADA 9 M)67.0010.00670670.00M

acerosMETRADO DE ACEROSPROYECTO :INSTALACIN DEL SERVICIO DE CANALIZACIN DE LA QUEBRADA SANTA LUCAUBICACION :DISTRITO: CHACHAPOYAS, PROVINCIA: CHACHAPOYAS, REGION: AMAZONASREFUERZOS EN PUENTE CAJON0.50.18m0.50.18m0.25 m0.50.25m0.50.20m0.50.20m1.50 m0.50.25m0.50.20m0.50.20m0.20 m0.20 m2.00 m0.20 mELEMENTODETALLELONG.CANT.0.3750.50.6250.751PARCIAL0.52.7033410.009201.110.000.000.009201.110.000.000.000.000.00LOSA SUPERIOR0.52.7033410.009201.110.000.000.009201.110.000.5601.19220.0013490.700.000.000.0013490.700.52.7030070.008281.280.000.000.008281.280.000.000.000.000.00LOSA INFERIOR0.52.7030070.008281.280.000.000.008281.280.000.5601.19220.0013490.700.000.000.0013490.700.000.52.2560140.0013802.130.000.000.0013802.130.00PAREDES0.00LATERALES0.52.4560140.0015028.990.000.000.0015028.990.000.5601.19240.0014717.130.000.000.0014717.13TOTAL DE ACERO EN PUENTE CAJON (KG)105494.44

ancho b=0bCALCULO DE "b"-33.1690.001Q 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ecua cuadax2+bx+c=0x=

MBD00027129.unknown

MBD00071A86.unknown

MBD00072AFA.unknown

MBD0007144E.unknown

MBD000698F6.unknown

MBD0000520B.unknown

MBD0000B12E.unknown