Diseño 2estructuras

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eSTRUCTURAS

Transcript of Diseño 2estructuras

ejercicio RU GUIA

Luz7mArea viga0.35m350.55mw1.3T/mDear Muerta1T/mLive Viva0.3T/mF"c21MpaFy 420Mpa42000T/m2TABLA DE AREAS VARILLAS0.9NODIAMETRODIAMETRODiametro (mm)Diametro (cm)Diametro (m)AREA (mm)AREA (cm)d0.5m500Mact=W*L/87.96t*m12(2)-1/40.256,40.640.0064320.32

Fc= 1.2*D+1.6L/D+L1.293(3)-3/80.389,50.950.0095710.71Multimo= F.C*M10.294(4)-1/20.5012,71.270.01271291.29MnMu5(5)-5/80.6315,91.590.01591991.99Mn=b*dfy(1-0,59Fy/fc)3307.51-11.86(6)- 3/40.7519,11.910.01912842.847(7)-7/80.8822,22.220.02223873.8710.293307.5-39028.58(8)-11.0025,42.540.02545105.19(9)-1 1/81.1328,72.870.02876456.4539028.5-3307.510.29010 (10)-1 1/41.3832,33.230.03238198.1911(11)-1 3/81.7535,83.580.0358100610.0614(12)-1 3/42.50434.300.0430145214.5218(13)-2 1/42.7557.35.730.0573258125.81

Resolucion de Ecuaciones cuadraticas ax2 + bx +c = 0Metodo grafico

Insertar valores a, b, c a = 39028.5b = -3307.5c = 10.29en celdas C5, E5 y G5 respectivamenteSoluciones (cruce con eje X) X1 =Raiz real=0.0815111949X2 =Raiz real=0.0032345678As=b*d5.66cmmin0.0033As=b*d5.78cmTABLA DE AREAS VARILLASCantidad de varrillasTipo de varillasArea de varilla (m2)Area total m2NODIAMETROAREA (mm)AREA (cm)1(7)-7/83.873.871#7+1#61(6)- 3/42.842.8421/4320.320 (10)-1 1/48.19033/8710.71Area total6.7141/21291.2955/81991.99Mn=k*b*d63/42842.84K=Mn/bd117.600T/m^277/83873.871176kN/m2815105.191 1/86456.4510 1 1/48198.19INTERPOLACION111 3/8100610.06M141 3/4145214.52k8210940.003116.611760.0003331210.60.0033332x=0.0002341852

=0.0032341852

DISEO DE VIGAS RESISTENCIA ULTIMA GUIA

ejercicio RU Cuaderno

Luz7mArea viga0.3m300.45mw1.3T/mDear Muerta0.85T/mLive Viva0.2T/mF"c21MpaFy 420Mpa42000T/m2TABLA DE AREAS VARILLAS0.9NODIAMETRODIAMETRODiametro (mm)Diametro (cm)Diametro (m)AREA (mm)AREA (cm)d0.39m390Mact=W*L/87.00t*m12(2)-1/40.256,40.640.0064320.32Fc= 1.2*D+1.6L/D+L1.283(3)-3/80.389,50.950.0095710.71Multimo= F.C*M8.93333333334(4)-1/20.5012,71.270.01271291.29MnMu5(5)-5/80.6315,91.590.01591991.99Mn=b*dfy(1-0,59Fy/fc)1724.8141-11.86(6)- 3/40.7519,11.910.01912842.847(7)-7/80.8822,22.220.02223873.878.93333333331724.814-20352.80528(8)-11.0025,42.540.02545105.19(9)-1 1/81.1328,72.870.02876456.4520352.8052-1724.8148.9333333333010 (10)-1 1/41.3832,33.230.03238198.1911(11)-1 3/81.7535,83.580.0358100610.0614(12)-1 3/42.50434.300.0430145214.5218(13)-2 1/42.7557.35.730.0573258125.81

Resolucion de Ecuaciones cuadraticas ax2 + bx +c = 0Metodo grafico

Insertar valores a, b, c a = 20352.8052b = -1724.814c = 8.9333333333en celdas C5, E5 y G5 respectivamenteSoluciones (cruce con eje X) X1 =Raiz real=0.0792040793X2 =Raiz real=0.0055416834As=b*d6.48cmmin0.0033As=b*d3.86cmTABLA DE AREAS VARILLASCantidad de varrillasTipo de varillasArea de varilla (m2)Area total m2NODIAMETROAREA (mm)AREA (cm)2(2)-1/40.320.641#7+1#62(4)-1/21.292.5821/4320.320 (10)-1 1/48.19033/8710.71Area total3.2241/21291.2955/81991.99Mn=k*b*d63/42842.84K=Mn/bd195.778T/m^277/83873.871957.7763167507kN/m2815105.191 1/86456.4510 1 1/48198.19INTERPOLACION111 3/8100610.06M141 3/4145214.52k178.776316750717790.005329.21957.77631675070.0012108.20.006Area de varilla (m2)2x=0.0005430629

=0.0055430629

DISEO DE VIGAS RESISTENCIA ULTIMA CUADERNO

parcial semestre pasado

Luz7mArea viga0.35m350.5mw1.3T/mDear Muerta1T/mLive Viva0.3T/mF"c21MpaFy 240Mpa24000T/m20.9d0.45m451.Mact=W*L/87.96T*mFc= 1.2*D+1.6L/D+L1.29Multimo= F.C*M29.2T*mMnMuMn=b*dfy(1-0,59Fy/fc)1530.91-6.742857142929.21530.9-10322.6410322.64-1530.929.20

Resolucion de Ecuaciones cuadraticas ax2 + bx +c = 0Metodo grafico

Insertar valores a, b, c a = 10322.64b = -1530.9c = 29.2en celdas C5, E5 y G5 respectivamenteSoluciones (cruce con eje X) X1 =Raiz real=0.1258232866X2 =Raiz real=0.0224817982As=b*d35.41cmmin0.005833As=b*d9.19cmTABLA DE AREAS VARILLASNODIAMETROAREA (mm)AREA (cm)2#83#6+1#521/4320.322#7+1#633/8710.71Mn=k*b*d41/21291.2955/81991.99K=Mn/bd411.993T/m^263/42842.844119.9294532628kN/m277/83873.87815105.191 1/86456.4510 1 1/48198.19111 3/8100610.06141 3/4145214.52

DISEO DE VIGAS RESISTENCIA ULTIMA PARCIAL

EJERCICIO VIGA 1

Luz7mArea viga0.35m350.55mw1.3T/mDear Muerta1T/mLive Viva0.3T/mF"c21MpaFy 240Mpa24000T/m20.9d0.5m501.Mact=W*L/87.96T*mFc= 1.2*D+1.6L/D+L1.29Multimo= F.C*M10.29T*mMnMuMn=b*dfy(1-0,59Fy/fc)18901-6.742857142910.291890-1274412744-189010.290

Resolucion de Ecuaciones cuadraticas ax2 + bx +c = 0Metodo grafico

Insertar valores a, b, c a = 12744b = -1890c = 10.29en celdas C5, E5 y G5 respectivamenteSoluciones (cruce con eje X) X1 =Raiz real=0.1426445911X2 =Raiz real=0.0056604936As=b*d9.91cmmin0.005833As=b*d10.21cmTABLA DE AREAS VARILLASNODIAMETROAREA (mm)AREA (cm)2#83#6+1#521/4320.322#7+1#633/8710.71Mn=k*b*d41/21291.2955/81991.99K=Mn/bd117.600T/m^263/42842.841176kN/m277/83873.87815105.191 1/86456.4510 1 1/48198.19111 3/8100610.06141 3/4145214.52

DISEO DE VIGAS RESISTENCIA ULTIMA EJERCICIOS GUIA

EJERCICIO VIGA 2

Luz7mArea viga0.4m400.6mw1.3T/mDear Muerta1T/mLive Viva0.3T/mTABLA DE AREAS VARILLASF"c21MpaNODIAMETRODIAMETRODiametro (mm)Diametro (cm)Diametro (m)AREA (mm)AREA (cm)Fy 420Mpa42000T/m200.91d0.55m552(2)-1/40.256,40.640.0064320.324#7As=15.48cm23(3)-3/80.389,50.950.0095710.714(4)-1/20.5012,71.270.01271291.29As=b*d5(5)-5/80.6315,91.590.01591991.99=As/b*d0.00703636366(6)- 3/40.7519,11.910.01912842.84ver tabla momento ultimo para sacar K7(7)-7/80.8822,22.220.02223873.87K=2428.5kN/m2242.85T/m28(8)-11.0025,42.540.02545105.1Mn=k*b*d29.385T*m9(9)-1 1/81.1328,72.870.02876456.45Mact=W*L/810 (10)-1 1/41.3832,33.230.03238198.19W=Mact*8/L^24.798T/m11(11)-1 3/81.7535,83.580.0358100610.0614(12)-1 3/42.50434.300.0430145214.5218(13)-2 1/42.7557.35.730.0573258125.81

TABLA DE AREAS VARILLASNODIAMETROAREA (mm)AREA (cm)

21/4320.3233/8710.7141/21291.2955/81991.9963/42842.8477/83873.87815105.191 1/86456.4510 1 1/48198.19111 3/8100610.06141 3/4145214.52

DISEO DE VIGAS RESISTENCIA ULTIMA PARCIAL

ejercicio viga T 1h0.8m800mm80Luz6.5mw5.2T/mDear Muerta0T/mLive Viva0T/mTABLA DE AREAS VARILLASF.C1.38NODIAMETRODIAMETRODiametro (mm)Diametro (cm)Diametro (m)AREA (mm)AREA (cm)F"c21Mpa0Fy 420Mpa42000T/m21t0.05m2(2)-1/40.256,40.640.0064320.32b1m1000mm1003(3)-3/80.389,50.950.0095710.71b0.3m4(4)-1/20.5012,71.270.01271291.290.95(5)-5/80.6315,91.590.01591991.99d0.74740mm746(6)- 3/40.7519,11.910.01912842.84REVISION SEGN NSR-10 (SOBRE PREDIMENSIONAMIENTO)7(7)-7/80.8822,22.220.02223873.87b1/4L11.625m8(8)-11.0025,42.540.02545105.1b16t+b11.1m9(9)-1 1/81.1328,72.870.02876456.45bSeparacion centro a centro11m10 (10)-1 1/41.3832,33.230.03238198.1911(11)-1 3/81.7535,83.580.0358100610.06Mu=W*L/8*F.C37.89825T*m14(12)-1 3/42.50434.300.0430145214.52MnMuAsumo que Mn=Mu18(13)-2 1/42.7557.35.730.0573258125.81Mn=b*dfy(1-0,59Fy/fc)37.89825=206992.81-11.8

37.89825=206992.8-2442515.04

2442515.04-206992.8379

Resolucion de Ecuaciones cuadraticas ax2 + bx +c = 0Metodo grafico

Insertar valores a, b, c a = 2442515.04b = -206992.8c = 379en celdas C5, E5 y G5 respectivamenteSoluciones (cruce con eje X) X1 =Raiz real=0.08287X2 =Raiz real=0.0019Se interpola y se obtendra la misma cuantiaK=Mn/bd69.2079072316T/m^2692.0790723156kN/m2INTERPOLACIONMk318.4790723156373.60.001364.6692.07907231560.001738.20.0022x=0.0008735027

=0.0018735027

PROFUNDIDAD DEL RECTANGULO DE COMPRESION

a= fyd/0,85fc0.033m3.3cmSe comporta como viga rectangular, ya que queda dentro de las aletasmin0.005833Para estos materiales segn tablaAs=b*d43.1642cm2Verificar con el nuevo d para ver si cumple4#9

Cantidad de varrillasTipo de varillasArea de varilla (m2)Area total m24(9)-1 1/86.4525.83(9)-1 1/86.4519.35TABLA DE AREAS VARILLAS0 (10)-1 1/48.190NODIAMETRODIAMETRODiametro (mm)Diametro (cm)Diametro (m)AREA (mm)AREA (cm)Area total45.15012(2)-1/40.256,40.640.0064320.323(3)-3/80.389,50.950.0095710.71
JUSTY:

Ancho de la seccion de viga
JUSTY: Recubrimiento de concreto para el refuerzo4(4)-1/20.5012,71.270.01271291.29
JUSTY:

Alto de la seccion de viga
JUSTY: Recubrimiento de concreto para el refuerzo5(5)-5/80.6315,91.590.01591991.996(6)- 3/40.7519,11.910.01912842.847(7)-7/80.8822,22.220.02223873.878(8)-11.0025,42.540.02545105.19(9)-1 1/81.1328,72.870.02876456.4510 (10)-1 1/41.3832,33.230.03238198.1911(11)-1 3/81.7535,83.580.0358100610.0614(12)-1,752.50434.300.0430145214.5218(13)-2,252.7557.35.730.0573258125.81


JUSTY: JUSTY:

Peralte de la seccion de vigaDISEO DE VIGAS T RESISTENCIA ULTIMA MONOLITICO GUIA 1 SE COMPORTA COMO VIGA RECTANGULAR

ejercicio viga T 2h0.8m800mm80Luz6.5mw5.2T/mDear Muerta0T/mLive Viva0T/mF.C1.38F"c21MpaFy 240Mpa24000T/m2t0.05mb1m1000mm100b0.3m0.9d0.74740mm74REVISION SEGN NSR-10 (SOBRE PREDIMENSIONAMIENTO)b1/4L11.625mb16t+b11.1mbSeparacion centro a centro11m

Mu=W*L/8*F.C37.89825T*mMnMuAsumo que Mn=MuMn=b*dfy(1-0,59Fy/fc)37.89825=118281.61-6.7428571429

37.89825=118281.6-797555.931428571

797555.931428571-118281.6379

Resolucion de Ecuaciones cuadraticas ax2 + bx +c = 0Metodo grafico

Insertar valores a, b, c a = 797555.931428571b = -118281.6c = 379en celdas C5, E5 y G5 respectivamenteSoluciones (cruce con eje X) X1 =Raiz real=0.14503X2 =Raiz real=0.0033Se interpola y se obtendra la misma cuantiaK=Mn/bd69.2079072316T/m^2692.0790723156kN/m2

INTERPOLACIONMk161.1790723156530.90.0025104.1692.07907231560.00056350.0032x=0.000774155

=0.003274155

PROFUNDIDAD DEL RECTANGULO DE COMPRESION

a= fyd/0,85fc0.033m3.3cmSe comporta como viga rectangular, ya que queda dentro de las aletasmin0.005833Para estos materiales segn tablaAs=b*d43.1642cm24#9 en primera fila3#9 en segunda filaVerificar con el nuevo d para ver si cumpleCantidad de varrillasTipo de varillasArea de varilla (m2)Area total m24(9)-1 1/86.4525.8TABLA DE AREAS VARILLAS3(9)-1 1/86.4519.35NODIAMETRODIAM