enunciado de losa CimentacionDisear la losa de cimentacin mostrada considerando un suelo de capacidad portante admisibleqa = 1,2 kg/cm. Todas las columnas son cuadradas de 50 cm x 50 cm. La profundidad de cimentacines de 1,10 m., el peso especfico del suelo es g = 1650 kg/m y la sobrecarga s/c = 500 kg/m ,fy = 4200 kg/cm , f'c = 210 kg/cm y ks = 8 kg/cm.123420.00m5.05m56784.80m91011124.80m131415164.80m171819200.55m5.75m5.50m5.50m0.70m17.45mCUADRO DE CARGASCOLUMNAToneladasPDPL140152 - 36030450255 - 9 - 1370306 - 71407010 - 111607514 - 15160858 - 12 - 16904017803518 - 1985402010045

Losa de CimentacionSOLUCIONqa =1.2kg/cmgs =0.00165kg/cmbcol =50cms/c =0.05kg/cmtcol =50cmfy =4200kg/cmDf =110cmf'c =210kg/cmKs =8kg/cmm =0.25E =217371kg/cmgc =0.0024kg/cmCALCULO DEL AREA DE LA LOSA Y EL ESPESORA=20.00*17.45m2A =349.00m2Mtodo a usarl =43 x KsE x tLc ={550cm480cmSiLc1.75METODO FLEXIBLElTabulando :tl1,75/l100.01822856996METODO FLEXIBLE0200.0108387722161METODO FLEXIBLE0300.0079967155219METODO FLEXIBLE0400.0064447725272METODO FLEXIBLE0500.0054516138321METODO FLEXIBLE0600.0047548755368METODO FLEXIBLE0700.0042357377413METODO FLEXIBLE00CALCULO DE LA PRESION NETAAsumiendot =50.00cmqn =qa - gt x ht - gc x hc - s/cqn =1,2 - 1650E-6 (110 - 50) - 2400E-6 (50) - 500E-4qn =0.931kg/cmVerificacin por punzonamientoVu =Pu - qn x m x nVc =1,1 f'c x bo x dCOLUMNA 1Vu =1,4 x 40000 + 1,7 x 15000 - 0,931 x (50 + d/2) x (50 + d/2)Vu =81500- 0,931 x ( 2500 + 50 d + 0,25 d )(a)Vc =1,10 210 x 2 (50 + d/2) dVc =31.881x ( 50 d + 0,50 d ) Vc =27.099x ( 50 d + 0,50 d )(b)Igualando (a) y (b), tenemos:27.099x ( 50 d + 0,50 d ) =81500- 0,931 x ( 2500 + 50 d + 0,25 d )1354,94 d+ 13,55 d=81500- 2327,50 - 46,55 d - 0,23 dd + 101,70 d - 5745,46 = 0d =40.43cmNO OK !COLUMNA 2 - 350 + d/250 + dVu =1,4 x 60000 + 1,7 x 30000 - 0,931 x (50 + d) x (50 + d/2)Vu =135000- 0,931 x ( 2500 + 75 d + 0,5 d )(a)Vc =1,10 210 x (( 50 + d ) + ( 50 + d/2) x 2 ) x dVc =15.941x ( 150 d + 2 d ) Vc =13.549x ( 150 d + 2 d )(b)Igualando (a) y (b), tenemos:13.549x ( 150 d + 2 d ) =135000- 0,931 x ( 2500 + 75 d + 0,5 d )2032,35 d+ 27,098 d=135000- 2327,50 - 69,825 d - 0,466 dd + 76,27 d - 4813,25 = 0d =41.03cmNO OK !COLUMNA 450 + d/250 + dVu =1,4 x 50000 + 1,7 x 25000 - 0,931 x (50 + d) x (50 + d/2)Vu =112500- 0,931 x ( 2500 + 75 d + 0,5 d )(a)Vc =1,10 210 x (( 50 + d ) + ( 50 + d/2) x 2 ) x dVc =15.941x ( 150 d + 2 d ) Vc =13.549x ( 150 d + 2 d )(b)Igualando (a) y (b), tenemos:13.549x ( 150 d + 2 d ) =112500- 0,931 x ( 2500 + 75 d + 0,5 d )2032,35 d+ 27,098 d=112500- 2327,50 - 69,825 d - 0,466 dd + 76,27 d - 3996,97 = 0d =35.7cmOK !COLUMNA 5 - 9 - 1350 + d50 + d/2Vu =1,4 x 70000 + 1,7 x 30000 - 0,931 x (50 + d) x (50 + d/2)Vu =149000- 0,931 x ( 2500 + 75 d + 0,5 d )(a)Vc =1,10 210 x (( 50 + d ) + ( 50 + d/2) x 2 ) x dVc =15.941x ( 150 d + 2 d ) Vc =13.549x ( 150 d + 2 d )(b)Igualando (a) y (b), tenemos:13.549x ( 150 d + 2 d ) =149000- 0,931 x ( 2500 + 75 d + 0,5 d )2032,35 d+ 27,098 d=149000- 2327,50 - 69,825 d - 0,466 dd + 76,27 d - 5321,16 = 0d =44.18cmNO OK !COLUMNA 6 - 750 + d50 + dVu =1,4 x 140000 + 1,7 x 70000 - 0,931 x (50 + d) x (50 + d)Vu =315000- 0,931 x ( 2500 + 100 d + d )(a)Vc =1,10 210 x 4 x ( 50 + d ) x dVc =15.941x ( 200 d + 4 d ) Vc =13.549x ( 200 d + 4 d )(b)Igualando (a) y (b), tenemos:13.549x ( 200 d + 4 d ) =315000- 0,931 x ( 2500 + 100 d + d )2709,80 d+ 54,196 d=315000- 2327,50 - 93,10 d - 0,931 dd + 50,84 d - 5671,86 = 0d =54.07cmNO OK !COLUMNA 10 - 1150 + d50 + dVu =1,4 x 160000 + 1,7 x 75000 - 0,931 x (50 + d) x (50 + d)Vu =351500- 0,931 x ( 2500 + 100 d + d )(a)Vc =1,10 210 x 4 x ( 50 + d ) x dVc =15.941x ( 200 d + 4 d ) Vc =13.549x ( 200 d + 4 d )(b)Igualando (a) y (b), tenemos:13.549x ( 200 d + 4 d ) =351500- 0,931 x ( 2500 + 100 d + d )2709,80 d+ 54,196 d=351500- 2327,50 - 93,10 d - 0,931 dd + 50,84 d - 6333,97 = 0d =58.13cmNO OK !COLUMNA 14 - 1550 + d50 + dVu =1,4 x 160000 + 1,7 x 85000 - 0,931 x (50 + d) x (50 + d)Vu =368500- 0,931 x ( 2500 + 100 d + d )(a)Vc =1,10 210 x 4 x ( 50 + d ) x dVc =15.941x ( 200 d + 4 d ) Vc =13.549x ( 200 d + 4 d )(b)Igualando (a) y (b), tenemos:13.549x ( 200 d + 4 d ) =368500- 0,931 x ( 2500 + 100 d + d )2709,80 d+ 54,196 d=368500- 2327,50 - 93,10 d - 0,931 dd + 50,84 d - 6642,34 = 0d =59.95cmNO OK !COLUMNA 8 - 12 - 1650 + d50 + dVu =1,4 x 90000 + 1,7 x 40000 - 0,931 x (50 + d) x (50 + d)Vu =194000- 0,931 x ( 2500 + 100 d + d )(a)Vc =1,10 210 x 4 x ( 50 + d ) x dVc =15.941x ( 200 d + 4 d ) Vc =13.549x ( 200 d + 4 d )(b)Igualando (a) y (b), tenemos:13.549x ( 200 d + 4 d ) =194000- 0,931 x ( 2500 + 100 d + d )2709,80 d+ 54,196 d=194000- 2327,50 - 93,10 d - 0,931 dd + 50,84 d - 3476,93 = 0d =38.79cmOK !COLUMNA 1750 + d50 + d/2Vu =1,4 x 80000 + 1,7 x 35000 - 0,931 x (50 + d) x (50 + d/2)Vu =171500- 0,931 x ( 2500 + 75 d + 0,5 d )(a)Vc =1,10 210 x (( 50 + d ) + ( 50 + d/2) x 2 ) x dVc =15.941x ( 150 d + 2 d ) Vc =13.549x ( 150 d + 2 d )(b)Igualando (a) y (b), tenemos:13.549x ( 150 d + 2 d ) =171500- 0,931 x ( 2500 + 75 d + 0,5 d )2032,35 d+ 27,098 d=171500- 2327,50 - 69,825 d - 0,466 dd + 76,27 d - 6137,44 = 0d =49.00cmNO OK !COLUMNA 18 - 1950 + d50 + dVu =1,4 x 85000 + 1,7 x 40000 - 0,931 x (50 + d) x (50 + d)Vu =187000- 0,931 x ( 2500 + 100 d + d )(a)Vc =1,10 210 x 4 x ( 50 + d ) x dVc =15.941x ( 200 d + 4 d ) Vc =13.549x ( 200 d + 4 d )(b)Igualando (a) y (b), tenemos:13.549x ( 200 d + 4 d ) =187000- 0,931 x ( 2500 + 100 d + d )2709,80 d+ 54,196 d=187000- 2327,50 - 93,10 d - 0,931 dd + 50,84 d - 3349,95 = 0d =37.79cmOK !COLUMNA 2050 + d50 + dVu =1,4 x 100000 + 1,7 x 45000 - 0,931 x (50 + d) x (50 + d)Vu =216500- 0,931 x ( 2500 + 100 d + d )(a)Vc =1,10 210 x 4 x ( 50 + d ) x dVc =15.941x ( 200 d + 4 d ) Vc =13.549x ( 200 d + 4 d )(b)Igualando (a) y (b), tenemos:13.549x ( 200 d + 4 d ) =216500- 0,931 x ( 2500 + 100 d + d )2709,80 d+ 54,196 d=216500- 2327,50 - 93,10 d - 0,931 dd + 50,84 d - 3885,07 = 0d =41.89cmNO OK !t =70cmqn =1,2 - 1650E-6 (110 - 70) - 2400E-6 (70) - 500E-4qn =0.916kg/cmCOLUMNA 14 - 1550 + d50 + dVu =1,4 x 160000 + 1,7 x 85000 - 0,916 x (50 + d) x (50 + d)Vu =368500- 0,916 x ( 2500 + 100 d + d )(a)Vc =1,10 210 x 4 x ( 50 + d ) x dVc =15.941x ( 200 d + 4 d ) Vc =13.549x ( 200 d + 4 d )(b)Igualando (a) y (b), tenemos:13.549x ( 200 d + 4 d ) =368500- 0,916 x ( 2500 + 100 d + d )2709,80 d+ 54,196 d=368500- 2290 - 91,60 d - 0,916 dd + 50,83 d - 6644,83 = 0d =59.97cmOK !t =70.00cm.3.-PROCESAMOS LA TABLAPUNTOPu/AX(cm.)0.00001Y(cm.)0.00006yq(kg/cm2)A1.132-5800.0064900.0291.167B1.132-2900.0034900.0291.164C1.132250-0.0034900.0291.159D1.132580-0.0064900.0291.156E1.132-5800.0062450.0151.153F1.132580-0.0062450.0151.141G1.132-5800.006-205-0.0121.126H1.132580-0.006-205-0.0121.114I1.132-5800.006-490-0.0291.108J1.132-2900.003-490-0.0291.106K1.132250-0.003-490-0.0291.100L1.132580-0.006-490-0.0291.0976.-CALCULAMOS EL FACTOR DE AMPLIFICACION DE CARGA F PARA CADA FRANJAFRANJAqq prom.bLPSPCPFA1.1671.15662451160P1626450000.0313389348.1233330.500B1.164P21C1.159P3D1.156E1.153F1.141E1.1531.13324501160P4626450000.00313520765.20.500F1.141P51H1.114P6G1.126G1.1261.10842851160P7626450000.00313408213.010.500H1.114P81I1.108P9J1.106K1.100L1.097A1.1671.1372290980P10.00161600.8566666670.500B1.164P41J1.106P7I1.108G1.126E1.153B1.1641.1322540980P2626450000.00313524580.120.500C1.159P5J1.106P8K1.100C1.1591.1277330980P3626450000.00313407349.090.500D1.156P6F1.141P9H1.114K1.100L1.097

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