Cálculo Losa Aligerada

Cortantes y MomentosVigaV-1 (Borde)3394.74Wu903kg/m2CortanteAncho Tributario2.55m5.65.15.6bdfcVcVcPor lo Tanto Requiere EstriboW P. P. Viga345.6kg/m3034.092007666.03806415760.755749.5285481182W P. P. Muros747kg/m9,505.279,505.2710,931.06Wu Total3394.74kg/mApoyodVudVsAsSSmaxLn5.6mV)3534.09259773.71106555365.57668984240.7137.8917.05CUMPLELn claro int5.1mSreal=17Ln (prom)M(-) apoyos int5.35mFlexiond10,931.069,505.279,505.27Varillas M(-)2#6 +2#434.09Varillas M(+)2#5 + 2#4 34.257604.26653.697604.22

M)

6653.699716.68833.39716.66653.69

CortanteVigaV-24724.18bdfcVcVcPor lo Tanto Requiere EstriboWu903kg/m23033.77752007595.20717788610.755696.4053834146Ancho Tributario4.85m5.65.15.6Wppviga345.6kg/mApoyodVudVsAsSSmaxWu Total4724.2kg/m13227.7013227.7015211.863533.777513616.149700510559.65908944720.7119.0816.89CUMPLELn5.6mSreal=17Ln claro int5.1mV)Ln (prom)M(-) apoyos int5.35mFlexiondVarillas M(-)2#8+ 1#633.777515211.8613227.7013227.70Varillas M(+)2#6 + 2#534.0925

10582.29259.3910582.16

M)

9259.3913521.812292.513521.8

VigaV-34724.182688.60Cortante (Tramo de Wu=)Wt 902.8kg/m2bdfcVcVcPor lo Tanto Requiere EstriboAncho Trib 4.85m6663033.77752007595.20717788610.755696.4053834146Ancho Trib (borde)2.55mWppviga345.6kg/m14272108259717ApoyodVudVsAsSSmaxWppmuros40.86kg/m3533.777512676.29010059306.51295611390.7121.6516.89CUMPLEWu 4724.18kg/mCALCULO EN EL SAP ESTA EN ERCHIVOSreal=19Wu (Borde)2688.60kg/mV)Flexion(Tramo de Wu=3373.75)dFlexion(Tramo de Wu=5917.60)d16919916310271Varillas M(-)2#8 + 1#633.7775Varillas M(-)3#838.777Nota: esta viga se realizo por el metodo de rigidez debido a que sus cargas no son iguales Varillas M(+)3#534.25375Varillas M(+)4#539.2522699.87921.58674.5

M)13872.417196188588886-10548.4401.44

ERROR:#REF!Cortante VigaV-4bdfcVcVcPor lo Tanto Requiere EstriboWt ERROR:#REF!kg/m25.75.73038.7772509748.57944585380.757311.4345843903Ancho Tributario2.6mWppviga345.6kg/mERROR:#REF!ERROR:#REF!ApoyodVudVsAsSSmaxW P. P. Muros747kg/m3538.777ERROR:#REF!ERROR:#REF!0.71ERROR:#REF!19.39CUMPLEWuERROR:#REF!kg/mV)Sreal=18Ln5.7mFlexiondERROR:#REF!ERROR:#REF!Varillas M(-)4#838.777Varillas M(+)2#838.777ERROR:#REF!ERROR:#REF!

M)

ERROR:#REF!ERROR:#REF!ERROR:#REF!ERROR:#REF!

3394.74Cortante VigaV-4(borde)5.355.35bdfcVcVcPor lo Tanto Requiere EstriboWt 903kg/m23034.09252007666.03806415760.755749.5285Ancho Tributario2.55m9080.9310443.07Wppviga345.6kg/mApoyodVudVsAsSSmaxWppmuros 747kg/mV)34.09259285.71719054714.91818984240.7143.1217.05CUMPLEWu3394.7kg/mSreal=19Ln5.35m10443.079080.93FlexiondVarillas M(-)2#6+2#534.09256940.46940.4Varillas M(+)2#634.10

M)

6072.8710796.210796.26072.87

Las distancias son difernts, se pude por ACI?677.1CortantebdfcVcVcVudNervaduraN-14.65.14.61516.572001862.96473891750.751397.2235541881 REQUIERE ESTRIBOSWt 903kg/m2Ancho Tributario0.75m1557.331726.611557.33FlexiondApoyodVudVsAsSSmaxWppnervaduraincluido wtkg/mVarillas M(-)2#516.5716.571678.73403375.34730108250.3264.988.29CUMPLEWu677.1kg/mV)Varillas M(+)3#316.89Sreal =10Ln4.6mLn claro int5.1mLn prom M(-) (apoyos int)4.85m1790.931726.611557.33

1023.4895.461257.96Asb(cm)h(cm)Ws(kg/m)L(m)Ec(kg/cm2)frIg(cm4)Ye(cm)Mcr(kg-cm)Ma(kg-cm)Mcr/MancIcrIeDeflexionDeflexion admisible3.811520677.104.6238751.96334271331.6227766017100001031622.7766016838176967.60.28.57.84957.74986.48136900230.00000331570.0127777778M)

596.981592.71447.91592.7597.00.75441.1041.224N-2M-0.460.47840.7446N-2CortanteM+677.1677.10FlexiondbdfcVcVcPor lo Tanto Requiere EstriboVarillas M(-)2#416.731516.732001880.95353543090.751410.7151515732NervaduraN-24.65.15.14.6Varillas M(+)1#516.57Wt 903kg/m2ApoyodVudVsAsSSmaxAncho Tributario0.75m1557.331985.601726.611790.933516.731677.65067355.91402456910.3269.198.37CUMPLEWppnervaduraincluido wtkg/mSreal=10Wu677.1kg/mV)V)N-3Ln4.6mFlexiondN-3Ln claro int5.1mVarillas M(-)3#421.73Cortante Ln prom M(-) apoyoa int4.85m1790.931726.611985.601557.33Varillas M(+)3#321.89bdfcVcVcPor lo Tanto Requiere Estribo1521.732002443.10342647420.751832.32756985561023.41601.01258.01601.0ApoyodVudVsAsSSmaxM)M)3021.731643.79567-251.37586647420.32-127.2510.87CUMPLESreal=10596.981769.71769.7596.98733.811956.81769.7596.98

378.55

Nervadura (borde)NB-14.65.14.6NB-1Wt 903kg/m2Cortante Ancho Tributario0.375m870.67965.30870.67bdfcVcVcPor lo Tanto no requiere estribosWppnervaduraincluida wtkg/m1516.892502123.08206978970.751592.3115523423Wppmuros 40kg/mV)Wu378.6kg/mApoyodVudVsAsSSmaxLn4.6m908.936405Ln claro int5.1m1001.26965.30870.67Ln prom M(-) apoyoa int4.85m703.3615.38703.29NB-1FlexiondM)Varillas M(-)3#316.89Varillas M(+)2#316.89333.75890.4809.5890.4333.8

378.55378.55

NervaduraNB-24.65.15.14.6NB-2Wt 903kg/m2Cortante Ancho Tributario0.375mbdfcVcVcPor lo Tanto NO Requiere EstriboWppnervaduraincluido wtkg/m870.671110.10965.301001.261516.892502123.08206978970.751592.3115523423Wppmuros 40kg/mWu378.6kg/mV)V)ApoyodVudVsAsSSmaxLn4.6m908.936405Ln claro int5.1mLn prom M(-) apoyoa int4.85m1001.26965.301110.10870.67NB-2NB-3572.2895.1703.3895.1FlexiondFlexiondVarillas M(-)3#316.89Varillas M(-)3#321.89M)M)Varillas M(+)3#316.89Varillas M(+)2#321.89

333.75890.0890.0333.75410.251094.0890.0333.75

NB-3Cortante bdfcVcVcPor lo Tanto NO Requiere Estribo3021.892505503.16950949630.754127.3771321222Acero por temperaturabhAs15200.54

Refuerzo a Flexion VIGASB30fc200Recubrimiento4H40Diametro Est.0.9525

Varilla #AreaDiametroCantidad AsdasMnMnSSminSmax30.710.9510.712557392534.57130.0006870.44010.1973060.91,028.04925.24-2.54530.710.9521.42511478534.57130.0013740.88020.0971530.92,042.911,838.6218.192.54530.710.9532.137672177434.57130.0020611.32030.0637690.93,044.612,740.158.622.54541.271.2711.2734.410.0012300.78440.1088700.91,814.641,633.18-2.54541.271.2722.5434.410.0024601.56880.0529350.93,587.443,228.7017.562.54541.271.2733.8134.410.0036912.35320.0342900.95,318.414,786.578.142.5454Y31.981.273#4+1#34.5234.410.0043782.79180.0284320.96,267.875,641.0941.271.2745.0834.410.0049213.13760.0249670.97,007.536,306.775.012.54551.981.5911.9834.25380.0019271.22290.0684240.92,797.692,517.92-2.54551.981.5923.9634.25380.0038542.44590.0327120.95,493.684,944.3216.922.54551.981.5935.9434.25380.0057803.66880.0208080.98,087.987,279.187.672.5455y43.251.592#5, 2#46.534.25250.0063264.01470.0187560.98,802.937,922.635y43.251.593#5, 1#47.2134.25250.0070174.45320.0166140.99,698.088,728.2751.981.5947.9234.25380.0077074.89180.0148560.910,580.579,522.514.582.54562.851.9112.8534.0950.0027861.76030.0463910.93,975.823,578.24-2.5456y44.121.912#6, 1#46.9734.09250.0068154.30500.0171940.99,350.128,415.106y44.121.911#6, 2#45.3934.09250.0052703.32910.0231140.97,341.046,606.9362.851.9125.734.0950.0055733.52060.0216950.97,740.936,966.8416.292.5456y54.831.912#6, 1#57.6834.09250.0075094.74350.0153270.910,231.849,208.6662.851.9138.5534.0950.0083595.28090.0134640.911,295.3310,165.807.192.5456y44.121.912#6+2#48.2434.09250.0080575.08940.0140820.910,918.069,826.256y54.831.912#6, 2#59.6634.09250.0094455.96650.0115710.912,621.6511,359.496y54.831.913#6+1#510.5334.09250.0102966.50380.0103670.913,639.5612,275.6062.851.91411.434.0950.0111457.04120.0093480.914,639.0313,175.134.162.54585.072.5415.0733.7780.0050033.13150.0245050.96,859.176,173.26-2.54458y67.922.542#8, 1#612.9933.7780.0128198.02320.0077350.916,239.6714,615.7085.072.54210.1433.7780.0100076.26290.0107530.913,051.5311,746.3815.022.544585.072.54315.2133.7780.0150109.39440.0061680.918,577.0716,719.376.242.544585.072.54420.2833.7780.02001312.52590.0038760.923,435.8021,092.223.312.5445

bmax0.02546954460.0184399503

Refuerzo a Flexion NERV.B15fc200Recubrimiento2H20diametro estribo0.635

Varilla #AreaDiametroCantidad AsdasMnMnSSminSmax30.710.9510.7116.890.00280244720.87705882350.04610674040.9490.5828529412441.5245676471-2.54530.710.9521.4216.890.00560489441.75411764710.02155337020.9955.0118117647859.51063058827.832.54530.710.9532.1316.890.00840734162.63117647060.01336891350.91393.28687647061253.95818882353.442.54541.271.2711.2716.730.00506076911.56882352940.02419330710.9850.5376764706765.4839088235-2.54541.271.2722.5416.730.01012153823.13764705880.01059665350.91617.39430588231455.65487529417.192.54541.271.2733.8116.730.01518230724.70647058820.00606443570.92300.56988823532070.51289941182.962.54541.271.2745.0816.730.02024307636.27529411760.00379832680.92900.06442352942610.05798117651.552.54551.981.5911.9816.570.0079662042.44588235290.01427536080.91276.26141176471148.6352705882-2.54551.981.5923.9616.570.0159324084.89176470590.00563768040.92349.12324705882114.21092235296.552.54551.981.5935.9416.570.02389861197.33764705880.00275845360.93218.58550588232896.72695529412.482.54551.981.5947.9216.570.03186481599.78352941180.00131884020.93884.64818823533496.18336941181.12333333332.54562.851.9112.8516.410.01157830593.52058823530.00888593980.91753.56979411761578.2128147059-2.54562.851.9125.716.410.02315661187.04117647060.00294296990.93085.72517647062777.15265882355.912.54562.851.9138.5516.410.034734917710.56176470590.00096197990.93996.46614705883596.819532352922.54562.851.91411.416.410.046313223614.0823529412-0.0000285150.94485.79270588234037.21343529410.69666666672.54585.072.5415.0716.0950.02100031076.2629411760.0035531910.92760.45395294122484.4085576471-2.544585.072.54210.1416.0950.042000621312.5258823530.00027659550.94187.27721176473768.54949058824.652.544585.072.54315.2116.0950.06300093218.7888235294-0.0008156030.94280.46977647063852.42279882351.0552.544585.072.54420.2816.0950.084001242625.0517647059-0.00136170220.93040.03164705882736.0284823529-0.14333333332.5445

bmax0.02546954460.0184399503

Calculo de Viga-34167123JL=01JLuBarra "A"6Ka=0.66666666670.33333333330.1666666667-0.16666666674Suu=1.33330.33330.00001da=04ma=-554.00FMa=17750.4Ma=1719647755.9620.33333333330.66666666670.1666666667-0.166666666710.33331.33330.33332-1661.991-1107.99-17750.4-188581030.16666666670.16666666670.0555555556-0.055555555660.00000.33331.3333306-277.0017750.41747364JLr-0.1666666667-0.1666666667-0.05555555560.0555555556707277.0017750.4180277512786Barra "B"6Kb=0.66666666670.33333333330.1666666667-0.16666666671db=-1661.991mb=1107.99FMb=17750.4Mb=18858170.33333333330.66666666670.1666666667-0.16666666672Suu-1=0.8036-0.21430.053616647.9723877.98-17750.4-13872280.16666666670.16666666670.0555555556-0.05555555567-0.21430.8571-0.2143207831.0017750.41858179-0.1666666667-0.1666666667-0.05555555560.055555555680.0536-0.21430.8036308-831.0017750.4169198102389Barra "C"6Kc=0.66666666670.33333333330.1666666667-0.16666666672dc=6647.972mc=3877.98FMc=9994.44Mc=1387220.33333333330.66666666670.1666666667-0.16666666673-1661.9931107.99-9994.44-888630.16666666670.16666666670.0555555556-0.05555555568uu=-1661.99108831.009994.44108258-0.1666666667-0.1666666667-0.05555555560.055555555696647.97209-831.009994.449163935910-1661.993Barra "D"6Kd=0.66666666670.33333333330.1666666667-0.16666666673dd=-1661.993md=-1107.99FMd=9994.44Md=888630.33333333330.66666666670.1666666667-0.1666666667505-554.00-9994.44-1054850.16666666670.16666666670.0555555556-0.0555555556909-277.009994.4497179-0.1666666667-0.1666666667-0.05555555560.055555555610010277.009994.441027110

Torsion^TORSIONkg/mkg*mkgmcmcmkg/cm2cmcm2cmkg*m/mkg*mkg*mkg/mcm2cmcmcmcm2cmkgkg*mcm2/cmkgkgkgcm2/cmcm2/cmcmELEMENTOWuM(-)VuLONGITUDBasehfytDIAMETRO (varilla de ref.)AbdTTaTudTuNecesita revision x torsion AcpPcpXoYoAohPhVccumpleTnAt/s*VcVudVsAv/sCombinacion de refuerzossnota: con estribos #3S realSmaxV13,3956653.69049505.2725.6304042001.912.8652177434.098079.481224238.443621469.8073797932932.86306089641120014021.04731.047653.446209104.18810.426648268930.00210930088570.8911147786128626.409839720.61356253096428.16833608399844.524450254555.14148555470.0318122021.25891.127935717.04625V43,3956072.8716031259080.92955.35304042001.912.8652177434.09257435.01102812522305.03308437519757.240680312332932.86306089641120014021.04731.047653.446209104.18810.058599177630.00210930088570.8911147786126342.98757374970.56462092936428.168336083912244.3371977754.89181455470.05415862181.18341.199932517.04625Wu cortanteVuNota: 1= s cumple, 2= no cumpleNota: 1= s cumple, 2= no cumple3387.5711005.36LongDiametro de estribo0.9535917.161427263373.74610825.0011005.36

Longitud de DesarolloLongitud del claro5h45Base de la Columna35b30Diametro de estribo0.953Ln465

Varilla #Diametrod12dbLn/16LaXpiLdt(por ser "d "mayor a 30)efykLdLd a usar30.9539.57211.429.062539.57239.5721.3142006.649.705255222149.705255222141.2739.41215.2429.062539.41239.4121.3142006.666.448078033866.448078033851.5939.25219.0829.062539.25239.2521.3142006.683.190900845483.190900845461.9139.09222.9229.062539.09239.0921.3142006.699.933723657199.933723657182.5438.77730.4829.062538.777153.1191.8771.3142006.6132.8961560675191.877135.6

Calculo de CargasDATOS:Tabla para cargas vivas, reglamento de construcciones del D. F. (pag 56)Base Viga0.3mBase NE Principales0.15mBase N-Temp.0.1mEspesor Losa0.05mPeralte Vigas0.4mPeralte Nervaduras0.2m

Empastado (Yeso Interior)(1,500kg/m3)(0.01 m)15kg/m2Zarpeo y Afine(2,000kg/m3)(0.015m)30kg/m2Muro Divisorio(12.5 piezas/m2)(13 kg/pieza)162.5kg/m2Block #6, 13 kg/pza, 15x20x40, 12.5 pzas/m2W Total Muro207.5kg/m2Muro Divisorio50kg/m250kg/m2Empastado (Yeso Interior)(1,500kg/m3)(0.01 m)15kg/m2Empastado (Mortero)zarepo(2,000kg/m3)(0.02m)60kg/m2Piso Cermico(1.5 kg/pieza)(12 pzas/m2)30kg/m2Piso 30x30W Losa(2,400kg/m3)(0.087m)208.8kg/m2W Barroblock(12 piezas/m2)(4.6 kg/pieza)55.2kg/m2Nota: 1 camas de Barroblock de 20x20x30W NE Principal(1x0.15x0.20)(2,400)72kg/m2W N-Temp.(0.75x0.10x0.20)(2,400)40.8kg/m2Wm419.00kg/m2Nota: Sin considerar peso propio de la viga WvEscuela (Aulas)250kg/m2Wu =1.2(369.75)+1.6(250) =903kg/m2W Peso Prop. Viga =(2,400kg/m3)(0.3x0.40) =288kg/mW P. P. Viga (Factorizada) =288x1.2345.6kg/mNota: Se suma directa a la carga total W Total Muro =207.5kg/m2Nota: Se agrega a las vigas perimetrales Wu Muro =747kg/mNota: Con una altura de 3 mNota: Se suman directo a la carga distribuida sobre la VIGA

DATOSVARILLANo.READIMETROPeso (Kg/m)f'cb1rb0.724 rbr MAX0.633 rb00002000.850.02040.01480.012910002500.850.02550.01850.016120003000.840.03010.02180.019030.710.95250.56253500.800.03360.02430.021341.271.2714000.760.03670.02660.023251.981.58751.56254500.730.03930.02850.024962.851.9052.25700085.072.5449000107.923.1756.25110001211.403.819