Losa Aligerada en Dos Direcciones

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calculo y diseño de losas aligerada en dos direcciones

Transcript of Losa Aligerada en Dos Direcciones

CALCULOS PREVIOSPROYECTO DE HORMIGON ARMADO - IIUniv. SALAZAR CALDERON ORLANDO JOSUELOSA MACIZA EN UNA DIRECCION1. GEOMETRIA DE LOSASpara este punto se tomara una faja de calculo de 1 [m] generalizada para toda la losaprimero mostramos el plano en general con las fajas correspondientesPREDIMENSIONAMIENTO

TABLA RESUMENBASEb [cm]100RECUBRIMIENTO MECANICOr [cm]2LONGITUD DESFAVORABLELDES [m] 520
JOSUE: JOSUE:determinar la distancia mas desfavorable del planoALTURA h = 1.30*LDES/40h [cm]16.90h = 1.30* LDES/40h [cm]0.17LOSAhADOP [cm]18.00hADOP [cm]0.18ALTURA UTILd [cm]16.002. CARGAS

para determinar las cargas nos basaremos en el modelo a continuacion

TABLA RESUMENPARA TODAS LAS LOSASGK TOTAL [KN/m]9.28QK TOTAL [KN/m]2.00PK TOTAL [KN/m]11.28GD TOTAL [KN/m]13.92QD TOTAL [KN/m]3.20PD TOTAL [KN/m]17.12

CARGAS PERMANENTES

GK TABIQUERIA [KN/m2]1GK TABIQUERIA [KN/m]1.2 REVESTIMIENTO [KN/m2]0.3GK REVESTIMIENTO [KN/m]0.3MAYORANDO LAS CARGAS CONTRAPISO [KN/m3]22GK CONTRAPISO [KN/m]0.88CARGASEFECTO DESFAVORABLE REVOQUE [KN/m3]12GK REVOQUE [KN/m]2.4PERMANENTESgfg1.50 LOSA LLENA [KN/m3]25GK LOSA LLENA [KN/m]4.32VARIABLESgfq1.60 ALIGERANTE [KN/m3]1.7GK ALIGERANTE [KN/m]0.18

GK TOTAL [KN/m]9.28GD TOTAL [KN/m]13.92QD TOTAL [KN/m]3.2CARGAS VARIABLESpara este punto se toma en cuenta que todas las losas seran dispuestas para DepartamentosPK TOTAL [KN/m]11.3QK DEPTOS [KN/m2]2QK DEPTOS [KN/m]2PD TOTAL [KN/m]17.1QK TOTAL [KN/m]2.03. MATERIALES

HORMIGNH - 25QD TOTAL [KN/m]3.2ACEROB - 400 - SPD TOTAL [KN/m]17.1

RESISTENCIA CARACTERISTICA DEL HfCK [MPA]25TABLA RESUMENRESISTENCIA CARACTERISTICA DEL AfYK [MPA]400PARA TODAS LAS LOSASRESISTENCIA CARACTERISTICA DEL HfCK [KN/m2]25000fCD [KN/m2]16666.67RESISTENCIA CARACTERISTICA DEL AfYK [KN/m2]400000fYD [KN/m2]347826.09COEFICIENTE DE MINORACION DE HC1.5Y [[0/00]]1.74COEFICIENTE DE MINORACION DE AS1.15fCD [KN/cm2]1.67MODULO DE ELASTICIDADE [MPA]200000fYD [KN/cm2]34.78

TABLASTABLA 41.001.051.101.151.201.251.301.351.401.451.501.551.60mx37.0035.4034.1033.2032.3031.8031.5031.3031.2031.2031.3031.4031.40my37.0039.2041.5043.9046.5049.6053.2057.2061.4065.8070.4075.2080.30mex16.0015.3014.8014.5014.2014.1014.0014.1014.1014.2014.4014.6014.80mey16.0016.8017.6018.4019.2020.0020.8021.6022.4023.2024.0024.8025.600.350.360.370.380.390.400.420.440.450.470.490.510.52

xe1.021.041.051.061.071.071.081.081.081.081.091.091.09xr0.550.550.560.560.570.570.570.570.570.570.570.570.57ye1.021.061.091.121.141.161.181.21.211.211.221.221.23yr0.550.570.590.610.630.640.650.660.670.680.690.690.7TABLA 5a1.001.051.101.151.201.251.301.351.401.451.501.551.60mx44.2043.3042.7042.4042.3042.4042.6043.0043.5044.0044.6045.2045.90my50.5054.6059.3064.5070.3076.5083.3090.8098.60107.0117.0126.0137.0mex18.0017.8017.7017.8017.9018.1018.3018.6019.0019.4019.8020.2020.60mey24.0025.2026.4027.6028.8030.0031.2032.4033.6034.8036.0037.2038.40X0.610.650.700.750.810.870.930.991.041.091.141.191.24Y0.840.900.961.021.091.161.221.291.361.431.491.551.60

xe0.910.930.950.960.960.960.950.950.940.920.910.90.9xr0.490.490.490.490.490.490.480.480.480.480.480.480.48ye0.950.970.991.011.031.031.041.041.041.041.031.031.03

TABLA 5b1.001.051.101.151.201.251.301.351.401.451.501.551.60mx50.5047.1044.3042.0040.2038.7037.5036.7036.0035.5035.1034.8034.60my44.2045.4046.9048.6050.7053.0055.7058.5061.6064.9068.5072.5076.60mex24.0022.2020.8019.7018.8018.1017.6017.3017.1016.9016.8016.7016.70mey18.0018.4018.9019.6020.4021.3022.4023.7025.1026.1027.0027.9028.80X0.840.800.760.740.720.710.700.700.690.690.690.680.68Y0.610.580.550.530.510.500.490.480.470.470.460.460.46

xe0.950.9811.021.041.051.061.071.081.081.081.081.08ye0.910.950.991.031.061.091.111.131.151.161.171.181.19yr0.490.510.530.550.570.590.610.630.640.650.660.670.68

TABLA 61.001.051.101.151.21.251.301.351.401.451.501.551.60mx55.7053.3051.5050.1049.1048.4048.0047.7047.7047.8048.0048.4048.80my55.7058.8062.3066.2070.7075.6081.0087.2093.50100.4108.2116.4125.0mex24.0023.0022.2021.7021.4021.2021.1021.0021.2021.4021.6021.8022.10mey24.0025.2026.4027.6028.8030.0031.2032.4033.6034.8036.0037.2038.401.031.041.051.071.101.131.171.211.241.281.311.351.39

x0.890.910.930.930.940.940.950.950.960.960.950.940.94y0.90.930.950.970.991.011.021.031.041.041.041.041.04

CORTANTES LOSAS

TABLA RESUMENBASEb [cm]100QD TOTAL [KN/m]3.2RECUBRIMIENTO MECANICOr [cm]2PD TOTAL [KN/m]17.1LONGITUD DESFAVORABLELDES [m] 520
JOSUE: JOSUE:determinar la distancia mas desfavorable del planoALTURA h = LDES/35h [cm]14.86LOSAhADOP [cm]18.00ALTURA UTILd [cm]16.00

CALCULO DE CORTANTES PARA LOSASDISPOSICION DE CORTANTES118.541217.890321.468COEFICIENTES DE LAS TABLASCORTANTES EMPOTRADOSCORTANTES APOYADOSLOSALY [m]LX [m]ADOPTADOK [KN]TABLAxexryeyrVxe [KN]Vye [KN]Vxr [KN]Vyr [KN]LOSA17.89033.82933.17933.17935.13018.541143.81.051.05260.22441.040.551.060.5733.82934.48017.89018.541124.453.81.171.15289.4995b1.021.030.5533.17933.50417.890235.23.81.371.35338.29141.080.571.20.6635.13039.03418.54121.468344.24.151.011.00298.40241.020.551.020.5536.23436.23419.53819.538434.48033.50439.03454.153.41.221.20241.5635a0.960.491.0327.94029.97714.2615419.538514.261613.354731.158833.037936.59064.153.251.281.30230.9065a0.950.481.0426.42928.93313.354674.1541.041.05284.19260.910.9331.15831.843719.53836.23429.97729.97728.93328.93331.84331.84332.32732.32734.10317.40784.454.151.071.05316.16460.910.9332.32733.037895.24.151.251.25369.4505a0.960.491.0334.10336.59017.4079104.241.051.05287.6165a0.930.490.9731.84333.21316.778101143.41.181.20232.83260.940.9927.35828.8131136.23427.94026.42931.15833.03736.5901243.251.231.25222.5605a0.960.491.0326.70728.65513.632121033.2131127.3581226.7071331.1581432.5281535.61013441.001.00273.9205a0.910.490.9531.15832.52816.77813144.4541.111.10304.73660.930.9531.84332.5281416.77831.84328.81328.81328.65528.65532.52832.52831.84331.84332.52816.435155.241.301.30356.0965a0.950.481.0432.52835.61016.43515164.23.91.081.10280.4265a0.950.490.9931.71533.05016.35816173.93.41.151.15227.0115b1.021.030.5529.68629.97716.00717184.453.91.141.15297.1185a0.960.491.0132.04933.71816.3581833.21327.35813.63216.77832.52835.610195.23.91.331.35347.1945a0.950.481.0431.71534.71916.024191633.0501729.6861833.7181934.719204.23.41.241.25244.4745a0.960.491.0327.94029.97714.26120213.43.41.001.00197.90760.890.925.90326.1942116.35831.71529.97716.00716.35832.04931.71516.024223.43.251.051.05189.1765a0.930.490.9725.87326.98513.632222343.41.181.20232.8325b1.041.060.5730.26830.85016.58923244.453.41.311.30259.02660.951.0227.64929.68624255.23.41.531.55302.6825a0.90.481.0326.19429.97713.9702533.05029.68633.71834.719264.241.051.05287.61641.040.551.060.5735.61036.29418.83219.517262029.9772126.1942213.6322316.5892429.6862529.9772743.41.181.20232.8325a0.960.491.0327.94029.97714.261272843.251.231.25222.5605a0.960.491.0326.70728.65513.6322814.26127.94025.90325.90326.98526.98530.26830.26827.64927.64926.19413.97029441.001.00273.9205a0.910.490.9531.15832.52816.77829304.4541.111.10304.7365b10.990.5334.24033.89818.14730315.241.301.30356.09641.080.571.180.6536.97940.40319.51722.2563129.97726.19425.87330.85029.68629.9772636.2942727.9402826.7072931.1583033.8983140.403

18.83235.61029.97729.97728.65528.65532.52832.52834.24034.24036.97919.517

19.51714.26113.63216.77818.14722.256

MOMENTOS LOSAS

TABLA RESUMENBASEb [cm]100QD TOTAL [KN/m]3.22. COMPATIBILIZACION DE MOMENTOS EN APOYOSRECUBRIMIENTO MECANICOr [cm]2PD TOTAL [KN/m]17.1LONGITUD DESFAVORABLELDES [m] 520
JOSUE: JOSUE:determinar la distancia mas desfavorable del planoPara la aplicacion de la siguiente metodologia simplificada deberan cumplirse las siguientes condiciones:ALTURA h = LDES/35h [cm]14.86LOSAhADOP [cm]18.001) Las cargas de as placas deberan ser similaresALTURA UTILd [cm]16.002) La geometria de las placas deberan ser similaresLOSAS1MA0.85*MAMBOBSERVACIONMAPOYOLOSAS3MA0.85*MAMBOBSERVACIONMAPOYO3) Los espesores (alturas) de las placas no deberan variar entre si en mas de un 10%215.4913.1714.77CASO b)15.13923.9920.3920.41CASO b)22.20CALCULO DE MOMENTOS PARA LOSAS123123COEFICIENTES DE LAS TABLASMOMENTOS INICIALESMOMENTOS EN LOS APOYOSMOMENTOS MAXIMOS EN TRAMOSMOMENTOS CALCULADOSCASO a)siMa=MbLOSAS2MA0.85*MAMBOBSERVACIONMAPOYOLOSAS9MA0.85*MAMBOBSERVACIONMAPOYOMOMENTOS FINALES COMPENSADOSLOSALY [m]LX [m]ADOPTADOK [KN]TABLAmxmymexmeyXYMX [KN-m/m]MY [KN-m/m]Mex [KN-m/m]Mey [KN-m/m]MX MAX [KN-m/m]MY MAX [KN-m/m]7.60-15.49-14.777.37-14.77-15.6611.25Mapoyo = Ma = Mb315.6613.3114.77CASO b)15.221520.4117.3519.46CASO b)19.948.8715.1315.137.6115.2215.2212.15143.81.051.05260.224435.439.215.316.80.367.3516.638-17.008-15.4907.5986.862124.453.81.171.15289.4995b4248.619.719.60.740.536.8935.957-14.695-14.7707.3706.25226.866.256.16LOSAS4MA0.85*MAMBOBSERVACIONMAPOYOLOSAS15MA0.85*MAMBOBSERVACIONMAPOYO7.045.856.3835.23.81.371.35338.291431.357.214.121.60.4410.8085.914-23.992-15.66211.2526.1573518.6515.8513.50CASO c)15.851919.4616.5418.67CASO b)19.06DE ARRIBA HACIA ABAJO44.24.151.011.00298.4024373716160.358.0658.065-18.650-18.6508.3298.3294-17.01-14.70-23.99CASO b)si0.85 Ma< Mb14.4614.2222.20LOSAPAOM1M2M54.153.41.221.20241.5635a42.370.317.928.80.811.095.7113.436-13.495-8.3886.1433.78654567-11.288-13.759-20.41Mapoyo = (Ma+Mb)/2LOSAS5MA0.85*MAMBOBSERVACIONMAPOYOLOSAS19MA0.85*MAMBOBSERVACIONMAPOYO456714.46814.22922.203EXTERNO0.89564.153.251.281.30230.9065a42.683.318.331.20.931.225.4202.772-12.618-7.4015.8913.0886613.5011.4712.62CASO b)13.062518.6715.8714.98CASO c)15.879INTERNO1.7900.4761.13374.1541.041.05284.192653.358.82325.21.045.3324.833-12.356-11.2775.8505.30378.33-18.65-13.503.79-13.50-12.623.09-12.62-12.365.30-12.36-12.556.51-12.55-12.319.428.9515.8515.853.8613.0613.063.0812.4912.493.6812.4512.456.7512.4312.438.2915INTERNO0.4760.3960.43684.454.151.071.05316.164653.358.82325.21.045.9325.377-13.746-12.5466.5085.9008LOSAS6MA0.85*MAMBOBSERVACIONMAPOYOLOSAS25MA0.85*MAMBOBSERVACIONMAPOYO19INTERNO0.3962.8001.59895.24.151