Losa Maciza Aci
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DIMENSIONAMIENTO DE LOSA MACIZA EN DOS DIRECCIONES DATOS GENERALES : f'c = 210 kg/cm2 recubrimiento = 2.50 cm Ec = 217371 kg/cm2 VIGAS YY = 0.25 x 0.45 fy = 4200 kg/cm2 VIGAS XX = 0.25 x 0.45 Es = 2100000 kg/cm2 1.- PREDIMENSIONAMIENTO: e escoje el paño com las lucez libres mas grandes PAÑO 12 = 4.60 = 0.12 m 40 A= 4.60 PAÑO 12 = 15.76 = 0.09 m 180 0.15 m B = 3.28 2.- DETERMINACION DE ESPESOR DE LOSA POR DEFLEXIONES Se escoje el paño mas critic PAÑO 12 CALCULO DE LOS α TRAMO C-5 0.90 b+2(a-h) = 0.90 m 0.15 b+8h = 1.50 m OK¡ B = 0.9 H = 0.45 Im = 3.35 f = 1.6 Inercio de la seccion en "T" : 0.30 yc = 0.29m Ib = 0.0036619m4 Ib= inercia de la sección en L Inercia de la losa Is= inercia de la losa Is = 0.0009422m4 = 3.887 lm = dimensión media de la franja CALCULO DE LOS α TRAMO 5-C 0.90 b+2(a-h) = 0.90 m 0.15 b+8h = 1.50 m OK¡ B = 0.9 H = 0.45 Im = 4.31 Inercio de la seccion en "T" : 0.30 yc = 0.29m Ib = 0.0036619m4 Ib= inercia de la sección en L Inercia de la losa Is= inercia de la losa Is = 0.0012122m4 = 3.021 lm = dimensión media de la franja SE ESCOJE h = h≥Ln/ 40 h≥Perimetro /180 B=Bw+(H−hf)≤Bw+4 hf ∗ =( ∗ ℎ 〖 〗 ^3)/12 α=/ B=Bw+(H−hf)≤Bw+4 hf ∗ =(∗ ℎ 〖 〗 ^3)/12 α=/
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LOSA MACIZA ACI
Transcript of Losa Maciza Aci
LOSA MACISA 1 AL 6DIMENSIONAMIENTO DE LOSA MACIZA EN DOS DIRECCIONES
DATOS GENERALES :f'c=210 kg/cm2recubrimiento=2.50 cmEc=217371 kg/cm2VIGAS YY=0.25x0.45fy=4200 kg/cm2VIGAS XX=0.25x0.45Es=2100000 kg/cm21.-PREDIMENSIONAMIENTO:Se escoje el pao com las lucez libres mas grandes :PAO 12
=4.60=0.12 m40
A=4.60PAO 12=15.76=0.09 m180
SE ESCOJE h =0.15 m
B =3.282.-DETERMINACION DE ESPESOR DE LOSA POR DEFLEXIONES Se escoje el pao mas critico :PAO 12
CALCULO DE LOS TRAMO C-5
0.90b+2(a-h)=0.90 m0.15 b+8h=1.50 mOKB=0.9H =0.45Im =3.35f =1.6Inercio de la seccion en "T" :0.30yc=0.29mIb=0.0036619m4
Ib=inercia de la seccin en LInercia de la losaIs=inercia de la losaIs=0.0009422m4
=3.887
lm = dimensin media de la franjaCALCULO DE LOS TRAMO 5-C0.90b+2(a-h)=0.90 m0.15 b+8h=1.50 mOKB=0.9H =0.45Im =4.31
Inercio de la seccion en "T" :0.30yc=0.29mIb=0.0036619m4
Ib=inercia de la seccin en LInercia de la losaIs=inercia de la losaIs=0.0012122m4
=3.021
lm = dimensin media de la franjaCALCULO DE LOS TRAMO D-50.90b+2(a-h)=0.90 m0.15 b+8h=1.50 mOKB=0.9H =0.45Im =1.94
Inercio de la seccion en "T" :0.30yc=0.29mIb=0.0036619m4
Ib=inercia de la seccin en LInercia de la losaIs=inercia de la losaIs=0.0005456m4
=6.711
lm = dimensin media de la franjaCALCULO DE LOS TRAMO 6-C0.90b+2(a-h)=0.90 m0.15 b+8h=1.50 mOKB=0.9H =0.45Im =2.66
Inercio de la seccion en "T" :0.30yc=0.29mIb=0.0036619m4
Ib=inercia de la seccin en LInercia de la losaIs=inercia de la losaIs=0.0007481m4
=4.895
lm = dimensin media de la franja6.711m=3.887+3.021+4.895+6.711=4.62843.8874.895PAO 12donde:-Ln=Luz libre del pao en la direcc.mas larga -=Relac. de ln mayor a ln menor-m=Promedio de los valores en todo el perimetro del pao. Para losas sin vigas 3.021tomar m=0
-para 0.2 < m < 2.0, h no debe ser menor que:SE ENCUENTRA EN EL CASO : m > 2.0
pero no menor que 125 mmLn=4.600m=1.402-Para m > 2.0, h no debe ser menor que:h=0.104m
ENTONCES h =0.15 mes CORRECTO
pero no menor que 90 mm
3.-METRADO DE CARGASPeso propio=360.00 kg/m2s/c=200.00 kg/m2Acabados=100.00 kg/m2Tabiqueria =157.00 kg/m2CM=617.00 kg/m2CV=200.00 kg/m2
Wu.cm=1.4*CMWu.cv=1.7*CVWu.cm=863.80 kg/m2Wu.cv=340.00 kg/m2
Wu=1.4*CM+1.7*CVWu=1203.80 kg/m2
DETERMINACION DE LOS MOMENTOS (COEFICIENTES ACI)Cargas para el diceo:Wu.cm=863.80 kg/m2Wu.cv=340.00 kg/m2Wu=1203.80 kg/m2
PAO 1m=A/BCoeficientes negativosWuLuz (m)Mto(-) kg-m0.65Asup0.0081203.84.25161.16Binf0.006prom0.007caso 9Bsup0.0831203.82.70733.55inf0.0854.25Aprom0.0840.6352941176Coeficientes positivosCargasLuz (m)MomentosMomentos TotalesCmCvCumCuvMcmMcv0.6Asup0.0050.062863.8340.04.2573.42389.79463.212.70inf0.0040.067prom0.0050.063Bsup0.0340.011863.8340.02.70217.8125.81243.61inf0.0360.009prom0.0350.010
PAO 2m=A/BCoeficientes negativosWuLuz (m)Mto(-) kg-m0.7Asup0.0171203.84.25325.13Binf0.014prom0.015caso2Bsup0.0741203.82.83733.18inf0.0774.25Aprom0.0760.6658823529Coeficientes positivosCargasLuz (m)MomentosMomentos TotalesCmCvCumCuvMcmMcv0.65Asup0.0070.012863.8340.04.2598.5765.31163.882.83inf0.0060.010prom0.0060.011Bsup0.0300.049863.8340.02.83216.98140.86357.84inf0.0320.053prom0.0310.052
PAO 3m=A/BCoeficientes negativosWuLuz (m)Mto(-) kg-m0.8Asup0.0171203.84.25332.81Binf0.014prom0.015caso9Bsup0.0751203.83.28993.26inf0.0784.25Aprom0.0770.7717647059Coeficientes positivosCargasLuz (m)MomentosMomentos TotalesCmCvCumCuvMcmMcv0.75Asup0.0100.017863.8340.04.25129.5990.53220.123.28inf0.0070.013prom0.0080.015Bsup0.0290.042863.8340.03.28280.00161.89441.89inf0.0310.046prom0.0300.044
PAO 4m=A/BCoeficientes negativosWuLuz (m)Mto(-) kg-m0.85Asup0.0211203.83.3241.93Binf0.017prom0.018caso9Bsup0.0721203.82.70648.60inf0.0753.3Aprom0.0740.8181818182Coeficientes positivosCargasLuz (m)MomentosMomentos TotalesCmCvCumCuvMcmMcv0.80Asup0.0130.02863.8340.03.3104.3366.98171.312.70inf0.0100.017prom0.0110.018Bsup0.0280.039863.8340.02.70180.33101.40281.72inf0.0290.042prom0.0290.041
PAO 5m=A/BCoeficientes negativosWuLuz (m)Mto(-) kg-m0.9Asup0.0371203.83.3418.31Binf0.031prom0.032caso2Bsup0.0551203.82.83571.16inf0.063.3Aprom0.0590.8575757576Coeficientes positivosCargasLuz (m)MomentosMomentos TotalesCmCvCumCuvMcmMcv0.85Asup0.0140.022863.8340.03.3115.7372.03187.762.83inf0.0120.019prom0.0120.019Bsup0.0220.034863.8340.02.83163.9499.51263.45inf0.0240.037prom0.0240.037
PAO 6m=A/BCoeficientes negativosWuLuz (m)Mto(-) kg-m1.00Asup0.0331203.83.3426.25Binf0.029prom0.033caso9Bsup0.0611203.83.28796.29inf0.0653.3Aprom0.0610.9939393939Coeficientes positivosCargasLuz (m)MomentosMomentos TotalesCmCvCumCuvMcmMcv0.95Asup0.0200.028863.8340.03.3184.71102.33287.043.28inf0.0170.025prom0.0200.028Bsup0.0230.030863.8340.03.28214.87110.62325.49inf0.0240.032prom0.0230.030
PAO 7m=A/BCoeficientes negativosWuLuz (m)Mto(-) kg-m0.95Asup0.0501203.82.6432.33Binf0.055prom0.053caso 2Bsup0.0411203.82.83371.17inf0.0372.6Aprom0.0380.9187279152Coeficientes positivosCargasLuz (m)MomentosMomentos TotalesCmCvCumCuvMcmMcv0.90Asup0.0200.040863.8340.02.6124.0999.12223.212.83inf0.0220.045prom0.0210.043Bsup0.0160.033863.8340.02.83102.0483.05185.08inf0.0140.029prom0.0150.030
PAO 8m=A/BCoeficientes negativosWuLuz (m)Mto(-) kg-m0.8Asup0.0171203.83.4231.66Binf0.014prom0.017caso9Bsup0.0751203.82.70661.27inf0.0783.4Aprom0.0750.7941176471Coeficientes positivosCargasLuz (m)MomentosMomentos TotalesCmCvCumCuvMcmMcv0.75Asup0.0100.017863.8340.03.496.3364.97161.302.70inf0.0070.013prom0.0100.017Bsup0.0290.042863.8340.02.70184.10105.27289.37inf0.0310.046prom0.0290.042
PAO 9m=A/BCoeficientes negativosWuLuz (m)Mto(-) kg-m0.85Asup0.0311203.83.4411.75Binf0.027prom0.030caso 2Bsup0.0601203.82.83595.48inf0.0653.4Aprom0.0620.8323529412Coeficientes positivosCargasLuz (m)MomentosMomentos TotalesCmCvCumCuvMcmMcv0.80Asup0.0120.019863.8340.03.4116.3071.90188.212.83inf0.0110.017prom0.0120.018Bsup0.0240.037863.8340.02.83170.92104.60275.51inf0.0260.041prom0.0250.038
PAO 10m=A/BCoeficientes negativosWuLuz (m)Mto(-) kg-m1.00Asup0.0331203.83.4419.93Binf0.029prom0.030caso 9Bsup0.0611203.83.28826.58inf0.0653.4Aprom0.0640.9647058824Coeficientes positivosCargasLuz (m)MomentosMomentos TotalesCmCvCumCuvMcmMcv0.95Asup0.0200.028863.8340.03.4178.56101.73280.293.28inf0.0170.025prom0.0180.026Bsup0.0230.030863.8340.03.28220.30114.90335.20inf0.0240.032prom0.0240.031
PAO 11m=A/BCoeficientes negativosWuLuz (m)Mto(-) kg-m0.6Asup0.0111203.84.53265.84Binf0.008prom0.011caso 4Bsup0.0891203.82.70783.13inf0.0924.53Aprom0.0890.5960264901Coeficientes positivosCargasLuz (m)MomentosMomentos TotalesCmCvCumCuvMcmMcv0.55Asup0.0070.009863.8340.04.53121.2661.69182.952.70inf0.0050.007prom0.0070.009Bsup0.0530.067863.8340.02.70335.25167.05502.30inf0.0560.072prom0.0530.067
PAO 12m=A/BCoeficientes negativosWuLuz (m)Mto(-) kg-m0.7Asup0.0171203.84.8443.77Binf0.014prom0.016caso 4Bsup0.0741203.83.28971.32inf0.0774.8Aprom0.0750.6833333333Coeficientes positivosCargasLuz (m)MomentosMomentos TotalesCmCvCumCuvMcmMcv0.65Asup0.0110.014863.8340.04.8205.65101.84307.493.28inf0.0090.011prom0.0100.013Bsup0.0460.057863.8340.03.28439.87214.59654.47inf0.0500.062prom0.0470.059COMPENSACION DE LOS MOMENTOS NEGATIVOS(Los momentos se encuentran en unidades de Kg-m)
PAOMomento en direccion BVerfMomt.de DiseoPAOMomento en direccion AVerf.Momt.de Diseo1M-81.2081.201M-161.159161.159M+243.61243.61M+463.212463.212M-733.55ok733.55M-161.159REP.196.4622M-733.18733.184M-241.928196.462M+357.84357.84M+171.313171.313M-733.18REP.872.80M-241.928OK241.9283M-993.26872.808M-231.659231.659M+441.89441.89M+161.298161.298M-147.30147.30M-231.659OK231.6594M-93.9193.9111M-265.844265.844M+281.72281.72M+182.949182.949M-648.60ok648.60M-60.98360.9835M-571.16571.162M-325.131325.131M+263.45263.45M+163.884163.884M-571.16REP.692.02M-325.131REP.365.8586M-796.29692.025M-418.308365.858M+325.49325.49M+187.764187.764M-108.50108.50M-418.308OK418.3087M-371.17371.177M-432.333432.333M+185.08185.08M+223.214223.214M-371.17371.17M-432.333OK432.3338M-96.4696.469M-411.748411.748M+289.37289.37M+188.205188.205M-661.27ok661.27M-411.748411.7489M-595.48595.483M-332.806332.806M+275.51275.51M+220.121220.121M-595.48REP.719.54M-332.806REP.373.65010M-826.58719.546M-426.254373.650M+335.20335.20M+287.041287.041M-111.7336625443111.73M-419.934419.93411M-167.4329253377167.4310M-419.934419.934M+502.30502.30M+280.293280.293M-783.13783.13M-419.934OK419.93412M-971.32971.3212M-443.769443.769M+654.47654.47M+654.468654.468M-218.1559662933218.16M-102.497102.497
DISTRIBUCION DE MOMENTOS
60.98310462102.496768182.95307.49218.1559662933167.4329253377783.13971.32502.30654.47
265.84443.77
231.66411.75419.93
161.30188.21280.2996.46661.27595.48595.48826.58111.7336625443
289.37275.51335.20
231.66411.75419.93
432.33
223.21371.17371.17
185.08
432.33
241.93418.31426.25
171.31187.76287.0493.9077918182648.60571.16571.16796.29108.50
281.72263.45325.49
241.93418.31426.25
161.16325.13332.81
463.21163.88220.1281.2040818824733.55733.18733.18993.26147.30
243.61357.84441.89
161.16325.13332.81
150.21150.21150.21
DISEO POR FLEXION EN LA DIRECCION "B"
Datos para Diseo :Area de acero Minimof'c=210 kg/cm2Asmin =0.0018*b*ddbfy=4200 kg/cm2Asmin =2.16 cm2rec=2.50 cmS=0.33b=100.00 cm =3/8"ASUMIENDO 3/8"@0.3h=15.00 cmAsmin =2.38 cm2db=12.02 cm
DIRECCION B
PAOMoment. Kg-md (cm)a (cm)As (cm2)As requeridaDistribucion
1M-81.2012.020.040.182.38 3/8" @ 0.30M+243.6112.020.130.542.38 3/8" @ 0.30M-733.5512.020.391.642.38 3/8" @ 0.302M-733.1812.020.391.642.38 3/8" @ 0.30M+357.8412.020.190.792.38 3/8" @ 0.30M-872.8012.020.461.962.38 3/8" @ 0.303M-872.8012.020.461.962.38 3/8" @ 0.30M+441.8912.020.230.982.38 3/8" @ 0.30M-147.3012.020.080.332.38 3/8" @ 0.304M-93.9112.020.050.212.38 3/8" @ 0.30M+281.7212.020.150.622.38 3/8" @ 0.30M-648.6012.020.341.452.38 3/8" @ 0.305M-571.1612.020.301.272.38 3/8" @ 0.30M+263.4512.020.140.582.38 3/8" @ 0.30M-692.0212.020.361.552.38 3/8" @ 0.306M-692.0212.020.361.552.38 3/8" @ 0.30M+325.4912.020.170.722.38 3/8" @ 0.30M-108.5012.020.060.242.38 3/8" @ 0.307M-371.1712.020.190.822.38 3/8" @ 0.30M+185.0812.020.100.412.38 3/8" @ 0.30M-371.1712.020.190.822.38 3/8" @ 0.308M-96.4612.020.050.212.38 3/8" @ 0.30M+289.3712.020.150.642.38 3/8" @ 0.30M-661.2712.020.351.482.38 3/8" @ 0.309M-595.4812.020.311.332.38 3/8" @ 0.30M+275.5112.020.140.612.38 3/8" @ 0.30M-719.5412.020.381.612.38 3/8" @ 0.3010M-719.5412.020.381.612.38 3/8" @ 0.30M+335.2012.020.170.742.38 3/8" @ 0.30M-111.7312.020.060.252.38 3/8" @ 0.3011M-167.4312.020.090.372.38 3/8" @ 0.30M+502.3012.020.261.122.38 3/8" @ 0.30M-783.1312.020.411.752.38 3/8" @ 0.3012M-971.3212.020.512.182.38 3/8" @ 0.30M+654.4712.020.341.462.38 3/8" @ 0.30M-218.1612.020.110.482.38 3/8" @ 0.30
DISEO POR FLEXION EN LA DIRECCION "A"
Datos para Diseo :Area de acero Minimof'c=210 kg/cm2Asmin =0.0018*b*ddbfy=4200 kg/cm2Asmin =1.99 cm2rec=2.50 cmS=0.36b=100.00 cm =3/8"ASUMIENDO 3/8"@0.3h=15.00 cmAsmin =2.38 cm2db=11.07 cm
DIRECCION B
PAOMoment. Kg-md (cm)a (cm)As (cm2)As requeridaDistribucion
1M-161.1611.070.090.392.38 3/8" @ 0.30M+463.2112.020.241.032.38 3/8" @ 0.30M-196.4612.020.100.432.38 3/8" @ 0.304M-196.4612.020.100.432.38 3/8" @ 0.30M+171.3112.020.090.382.38 3/8" @ 0.30M-241.9312.020.130.542.38 3/8" @ 0.308M-231.6612.020.120.512.38 3/8" @ 0.30M+161.3012.020.080.362.38 3/8" @ 0.30M-231.6612.020.120.512.38 3/8" @ 0.3011M-265.8412.020.140.592.38 3/8" @ 0.30M+182.9512.020.100.402.38 3/8" @ 0.30M-60.9812.020.030.132.38 3/8" @ 0.302M-325.1312.020.170.722.38 3/8" @ 0.30M+163.8812.020.090.362.38 3/8" @ 0.30M-365.8612.020.190.812.38 3/8" @ 0.305M-365.8612.020.190.812.38 3/8" @ 0.30M+187.7612.020.100.412.38 3/8" @ 0.30M-418.3112.020.220.932.38 3/8" @ 0.307M-432.3312.020.230.962.38 3/8" @ 0.30M+223.2112.020.120.492.38 3/8" @ 0.30M-432.3312.020.230.962.38 3/8" @ 0.309M-411.7512.020.220.912.38 3/8" @ 0.30M+188.2112.020.100.422.38 3/8" @ 0.30M-411.7512.020.220.912.38 3/8" @ 0.303M-332.8112.020.170.742.38 3/8" @ 0.30M+220.1212.020.110.492.38 3/8" @ 0.30M-373.6512.020.200.832.38 3/8" @ 0.306M-373.6512.020.200.832.38 3/8" @ 0.30M+287.0412.020.150.642.38 3/8" @ 0.30M-419.9312.020.220.932.38 3/8" @ 0.3010M-419.9312.020.220.932.38 3/8" @ 0.30M+280.2912.020.150.622.38 3/8" @ 0.30M-419.9312.020.220.932.38 3/8" @ 0.3012M-443.7712.020.230.992.38 3/8" @ 0.30M+654.4712.020.341.462.38 3/8" @ 0.30M-102.5012.020.050.232.38 3/8" @ 0.30
LOSA MAZIZA 7DIMENSIONAMIENTO DE LOSA MACIZA EN DOS DIRECCIONES
DATOS GENERALES :f'c=210 kg/cm2recubrimiento=2.50 cmEc=217371 kg/cm2VIGAS YY=0.25x0.45fy=4200 kg/cm2VIGAS XX=0.25x0.45Es=2100000 kg/cm21.-PREDIMENSIONAMIENTO:Se escoje el pao com las lucez libres mas grandes :PAO 12
=4.60=0.12 m40
A=4.60PAO 12=15.76=0.09 m180
SE ESCOJE h =0.15 m
B =3.282.-DETERMINACION DE ESPESOR DE LOSA POR DEFLEXIONES Se escoje el pao mas critico :PAO 12
CALCULO DE LOS TRAMO C-5
0.90b+2(a-h)=0.90 m0.15 b+8h=1.50 mOKB=0.9H =0.45Im =3.35f =1.6Inercio de la seccion en "T" :0.30yc=0.29mIb=0.0036619m4
Ib=inercia de la seccin en LInercia de la losaIs=inercia de la losaIs=0.0009422m4
=3.887
lm = dimensin media de la franjaCALCULO DE LOS TRAMO 5-C0.90b+2(a-h)=0.90 m0.15 b+8h=1.50 mOKB=0.9H =0.45Im =4.31
Inercio de la seccion en "T" :0.30yc=0.29mIb=0.0036619m4
Ib=inercia de la seccin en LInercia de la losaIs=inercia de la losaIs=0.0012122m4
=3.021
lm = dimensin media de la franjaCALCULO DE LOS TRAMO D-50.90b+2(a-h)=0.90 m0.15 b+8h=1.50 mOKB=0.9H =0.45Im =1.94
Inercio de la seccion en "T" :0.30yc=0.29mIb=0.0036619m4
Ib=inercia de la seccin en LInercia de la losaIs=inercia de la losaIs=0.0005456m4
=6.711
lm = dimensin media de la franjaCALCULO DE LOS TRAMO 6-C0.90b+2(a-h)=0.90 m0.15 b+8h=1.50 mOKB=0.9H =0.45Im =2.66
Inercio de la seccion en "T" :0.30yc=0.29mIb=0.0036619m4
Ib=inercia de la seccin en LInercia de la losaIs=inercia de la losaIs=0.0007481m4
=4.895
lm = dimensin media de la franja6.711m=3.887+3.021+4.895+6.711=4.62843.8874.895PAO 12donde:-Ln=Luz libre del pao en la direcc.mas larga -=Relac. de ln mayor a ln menor-m=Promedio de los valores en todo el perimetro del pao. Para losas sin vigas 3.021tomar m=0
-para 0.2 < m < 2.0, h no debe ser menor que:SE ENCUENTRA EN EL CASO : m > 2.0
pero no menor que 125 mmLn=4.600m=1.402-Para m > 2.0, h no debe ser menor que:h=0.104m
ENTONCES h =0.15 mes CORRECTO
pero no menor que 90 mm
3.-METRADO DE CARGASPeso propio=360.00 kg/m2s/c=100.00 kg/m2Acabados=100.00 kg/m2Tabiqueria =0.00 kg/m2CM=460.00 kg/m2CV=100.00 kg/m2
Wu.cm=1.4*CMWu.cv=1.7*CVWu.cm=644.00 kg/m2Wu.cv=170.00 kg/m2
Wu=1.4*CM+1.7*CVWu=814.00 kg/m2
DETERMINACION DE LOS MOMENTOS (COEFICIENTES ACI)Cargas para el diceo:Wu.cm=644.00 kg/m2Wu.cv=170.00 kg/m2Wu=814.00 kg/m2
PAO 1m=A/BCoeficientes negativosWuLuz (m)Mto(-) kg-m0.65Asup0.008814.04.25108.97Binf0.006prom0.007caso 9Bsup0.083814.02.70496.02inf0.0854.25Aprom0.0840.6352941176Coeficientes positivosCargasLuz (m)MomentosMomentos TotalesCmCvCumCuvMcmMcv0.6Asup0.0050.062644.0170.04.2554.74194.89249.632.70inf0.0040.067prom0.0050.063Bsup0.0340.011644.0170.02.70162.3812.90175.29inf0.0360.009prom0.0350.010
PAO 2m=A/BCoeficientes negativosWuLuz (m)Mto(-) kg-m0.7Asup0.017814.04.25219.85Binf0.014prom0.015caso2Bsup0.074814.02.83495.77inf0.0774.25Aprom0.0760.6658823529Coeficientes positivosCargasLuz (m)MomentosMomentos TotalesCmCvCumCuvMcmMcv0.65Asup0.0070.012644.0170.04.2573.4932.66106.152.83inf0.0060.010prom0.0060.011Bsup0.0300.049644.0170.02.83161.7770.43232.20inf0.0320.053prom0.0310.052
PAO 3m=A/BCoeficientes negativosWuLuz (m)Mto(-) kg-m0.8Asup0.017814.04.25225.04Binf0.014prom0.015caso9Bsup0.075814.03.28671.64inf0.0784.25Aprom0.0770.7717647059Coeficientes positivosCargasLuz (m)MomentosMomentos TotalesCmCvCumCuvMcmMcv0.75Asup0.0100.017644.0170.04.2596.6245.26141.883.28inf0.0070.013prom0.0080.015Bsup0.0290.042644.0170.03.28208.7580.95289.70inf0.0310.046prom0.0300.044
PAO 4m=A/BCoeficientes negativosWuLuz (m)Mto(-) kg-m0.85Asup0.021814.03.3163.59Binf0.017prom0.018caso9Bsup0.072814.02.70438.58inf0.0753.3Aprom0.0740.8181818182Coeficientes positivosCargasLuz (m)MomentosMomentos TotalesCmCvCumCuvMcmMcv0.80Asup0.0130.02644.0170.03.377.7833.49111.272.70inf0.0100.017prom0.0110.018Bsup0.0280.039644.0170.02.70134.4450.70185.14inf0.0290.042prom0.0290.041
PAO 5m=A/BCoeficientes negativosWuLuz (m)Mto(-) kg-m0.9Asup0.037814.03.3282.86Binf0.031prom0.032caso2Bsup0.055814.02.83386.22inf0.063.3Aprom0.0590.8575757576Coeficientes positivosCargasLuz (m)MomentosMomentos TotalesCmCvCumCuvMcmMcv0.85Asup0.0140.022644.0170.03.386.2836.02122.302.83inf0.0120.019prom0.0120.019Bsup0.0220.034644.0170.02.83122.2249.76171.98inf0.0240.037prom0.0240.037
PAO 6m=A/BCoeficientes negativosWuLuz (m)Mto(-) kg-m1.00Asup0.033814.03.3288.23Binf0.029prom0.033caso9Bsup0.061814.03.28538.44inf0.0653.3Aprom0.0610.9939393939Coeficientes positivosCargasLuz (m)MomentosMomentos TotalesCmCvCumCuvMcmMcv0.95Asup0.0200.028644.0170.03.3137.7151.16188.883.28inf0.0170.025prom0.0200.028Bsup0.0230.030644.0170.03.28160.1955.31215.50inf0.0240.032prom0.0230.030
PAO 7m=A/BCoeficientes negativosWuLuz (m)Mto(-) kg-m0.95Asup0.050814.02.6292.34Binf0.055prom0.053caso 2Bsup0.041814.02.83250.98inf0.0372.6Aprom0.0380.9187279152Coeficientes positivosCargasLuz (m)MomentosMomentos TotalesCmCvCumCuvMcmMcv0.90Asup0.0200.040644.0170.02.692.5149.56142.082.83inf0.0220.045prom0.0210.043Bsup0.0160.033644.0170.02.8376.0741.52117.60inf0.0140.029prom0.0150.030
PAO 8m=A/BCoeficientes negativosWuLuz (m)Mto(-) kg-m0.8Asup0.017814.03.4156.65Binf0.014prom0.017caso9Bsup0.075814.02.70447.15inf0.0783.4Aprom0.0750.7941176471Coeficientes positivosCargasLuz (m)MomentosMomentos TotalesCmCvCumCuvMcmMcv0.75Asup0.0100.017644.0170.03.471.8232.48104.302.70inf0.0070.013prom0.0100.017Bsup0.0290.042644.0170.02.70137.2552.63189.89inf0.0310.046prom0.0290.042
PAO 9m=A/BCoeficientes negativosWuLuz (m)Mto(-) kg-m0.85Asup0.031814.03.4278.42Binf0.027prom0.030caso 2Bsup0.060814.02.83402.66inf0.0653.4Aprom0.0620.8323529412Coeficientes positivosCargasLuz (m)MomentosMomentos TotalesCmCvCumCuvMcmMcv0.80Asup0.0120.019644.0170.03.486.7135.95122.662.83inf0.0110.017prom0.0120.018Bsup0.0240.037644.0170.02.83127.4352.30179.72inf0.0260.041prom0.0250.038
PAO 10m=A/BCoeficientes negativosWuLuz (m)Mto(-) kg-m1.00Asup0.033814.03.4283.96Binf0.029prom0.030caso 9Bsup0.061814.03.28558.92inf0.0653.4Aprom0.0640.9647058824Coeficientes positivosCargasLuz (m)MomentosMomentos TotalesCmCvCumCuvMcmMcv0.95Asup0.0200.028644.0170.03.4133.1350.86183.993.28inf0.0170.025prom0.0180.026Bsup0.0230.030644.0170.03.28164.2457.45221.69inf0.0240.032prom0.0240.031
PAO 11m=A/BCoeficientes negativosWuLuz (m)Mto(-) kg-m0.6Asup0.011814.04.53179.76Binf0.008prom0.011caso 4Bsup0.089814.02.70529.55inf0.0924.53Aprom0.0890.5960264901Coeficientes positivosCargasLuz (m)MomentosMomentos TotalesCmCvCumCuvMcmMcv0.55Asup0.0070.009644.0170.04.5390.4130.84121.252.70inf0.0050.007prom0.0070.009Bsup0.0530.067644.0170.02.70249.9483.53333.47inf0.0560.072prom0.0530.067
PAO 12m=A/BCoeficientes negativosWuLuz (m)Mto(-) kg-m0.7Asup0.017814.04.8300.07Binf0.014prom0.016caso 4Bsup0.074814.03.28656.80inf0.0774.8Aprom0.0750.6833333333Coeficientes positivosCargasLuz (m)MomentosMomentos TotalesCmCvCumCuvMcmMcv0.65Asup0.0110.014644.0170.04.8153.3250.92204.243.28inf0.0090.011prom0.0100.013Bsup0.0460.057644.0170.03.28327.94107.30435.24inf0.0500.062prom0.0470.059COMPENSACION DE LOS MOMENTOS NEGATIVOS(Los momentos se encuentran en unidades de Kg-m)
PAOMomento en direccion BVerfMomt.de DiseoPAOMomento en direccion AVerf.Momt.de Diseo1M-58.4358.431M-108.974108.974M+175.29175.29M+249.634249.634M-496.02ok496.02M-108.974REP.132.8462M-495.77495.774M-163.590132.846M+232.20232.20M+111.274111.274M-495.77REP.590.18M-163.590OK163.5903M-671.64590.188M-156.646156.646M+289.70289.70M+104.302104.302M-96.5796.57M-156.646OK156.6464M-61.7161.7111M-179.762179.762M+185.14185.14M+121.250121.250M-438.58ok438.58M-40.41740.4175M-386.22386.222M-219.851219.851M+171.98171.98M+106.145106.145M-386.22REP.467.94M-219.851REP.247.3906M-538.44467.945M-282.857247.390M+215.50215.50M+122.299122.299M-71.8371.83M-282.857OK282.8577M-250.98250.987M-292.340292.340M+117.60117.60M+142.076142.076M-250.98250.98M-292.340OK292.3408M-63.3063.309M-278.421278.421M+189.89189.89M+122.660122.660M-447.15ok447.15M-278.421278.4219M-402.66402.663M-225.040225.040M+179.72179.72M+141.881141.881M-402.66REP.486.55M-225.040REP.252.65910M-558.92486.556M-288.229252.659M+221.69221.69M+188.876188.876M-73.897972956973.90M-283.956283.95611M-111.1556992053111.1610M-283.956283.956M+333.47333.47M+183.992183.992M-529.55529.55M-283.956OK283.95612M-656.80656.8012M-300.073300.073M+435.24435.24M+435.242435.242M-145.0806101333145.08M-68.08168.081
DISTRIBUCION DE MOMENTOS
40.416750668.08064121.25204.24145.0806101333111.1556992053529.55656.80333.47435.24
179.76300.07
156.65278.42283.96
104.30122.66183.9963.30447.15402.66402.66558.9273.8979729569
189.89179.72221.69
156.65278.42283.96
292.34
142.08250.98250.98
117.60
292.34
163.59282.86288.23
111.27122.30188.8861.7131636364438.58386.22386.22538.4471.83
185.14171.98215.50
163.59282.86288.23
108.97219.85225.04
249.63106.15141.8858.4289211765496.02495.77495.77671.6496.57
175.29232.20289.70
108.97219.85225.04
150.21150.21150.21
DISEO POR FLEXION EN LA DIRECCION "B"
Datos para Diseo :Area de acero Minimof'c=210 kg/cm2Asmin =0.0018*b*ddbfy=4200 kg/cm2Asmin =2.16 cm2rec=2.50 cmS=0.33b=100.00 cm =3/8"ASUMIENDO 3/8"@0.30h=15.00 cmAsmin =2.38 cm2db=12.02 cm
DIRECCION B
PAOMoment. Kg-md (cm)a (cm)As (cm2)As requeridaDistribucion
1M-58.4312.020.030.132.38 3/8" @ 0.30M+175.2912.020.090.392.38 3/8" @ 0.30M-496.0212.020.261.102.38 3/8" @ 0.302M-495.7712.020.261.102.38 3/8" @ 0.30M+232.2012.020.120.512.38 3/8" @ 0.30M-590.1812.020.311.322.38 3/8" @ 0.303M-590.1812.020.311.322.38 3/8" @ 0.30M+289.7012.020.150.642.38 3/8" @ 0.30M-96.5712.020.050.212.38 3/8" @ 0.304M-61.7112.020.030.142.38 3/8" @ 0.30M+185.1412.020.100.412.38 3/8" @ 0.30M-438.5812.020.230.972.38 3/8" @ 0.305M-386.2212.020.200.862.38 3/8" @ 0.30M+171.9812.020.090.382.38 3/8" @ 0.30M-467.9412.020.241.042.38 3/8" @ 0.306M-467.9412.020.241.042.38 3/8" @ 0.30M+215.5012.020.110.482.38 3/8" @ 0.30M-71.8312.020.040.162.38 3/8" @ 0.307M-250.9812.020.130.562.38 3/8" @ 0.30M+117.6012.020.060.262.38 3/8" @ 0.30M-250.9812.020.130.562.38 3/8" @ 0.308M-63.3012.020.030.142.38 3/8" @ 0.30M+189.8912.020.100.422.38 3/8" @ 0.30M-447.1512.020.230.992.38 3/8" @ 0.309M-402.6612.020.210.892.38 3/8" @ 0.30M+179.7212.020.090.402.38 3/8" @ 0.30M-486.5512.020.251.082.38 3/8" @ 0.3010M-486.5512.020.251.082.38 3/8" @ 0.30M+221.6912.020.120.492.38 3/8" @ 0.30M-73.9012.020.040.162.38 3/8" @ 0.3011M-111.1612.020.060.252.38 3/8" @ 0.30M+333.4712.020.170.742.38 3/8" @ 0.30M-529.5512.020.281.182.38 3/8" @ 0.3012M-656.8012.020.341.472.38 3/8" @ 0.30M+435.2412.020.230.972.38 3/8" @ 0.30M-145.0812.020.080.322.38 3/8" @ 0.30
DISEO POR FLEXION EN LA DIRECCION "A"
Datos para Diseo :Area de acero Minimof'c=210 kg/cm2Asmin =0.0018*b*ddafy=4200 kg/cm2Asmin =1.99 cm2rec=2.50 cmS=0.36b=100.00 cm =3/8"ASUMIENDO 3/8"@0.30h=15.00 cmAsmin =2.38 cm2da=11.07 cm
DIRECCION B
PAOMoment. Kg-md (cm)a (cm)As (cm2)As requeridaDistribucion
1M-108.9711.070.060.262.38 3/8" @ 0.30M+249.6312.020.130.552.38 3/8" @ 0.30M-132.8512.020.070.292.38 3/8" @ 0.304M-132.8512.020.070.292.38 3/8" @ 0.30M+111.2712.020.060.252.38 3/8" @ 0.30M-163.5912.020.080.362.38 3/8" @ 0.308M-156.6512.020.080.352.38 3/8" @ 0.30M+104.3012.020.050.232.38 3/8" @ 0.30M-156.6512.020.080.352.38 3/8" @ 0.3011M-179.7612.020.090.402.38 3/8" @ 0.30M+121.2512.020.060.272.38 3/8" @ 0.30M-40.4212.020.020.092.38 3/8" @ 0.302M-219.8512.020.110.492.38 3/8" @ 0.30M+106.1512.020.060.232.38 3/8" @ 0.30M-247.3912.020.130.552.38 3/8" @ 0.305M-247.3912.020.130.552.38 3/8" @ 0.30M+122.3012.020.060.272.38 3/8" @ 0.30M-282.8612.020.150.632.38 3/8" @ 0.307M-292.3412.020.150.652.38 3/8" @ 0.30M+142.0812.020.070.312.38 3/8" @ 0.30M-292.3412.020.150.652.38 3/8" @ 0.309M-278.4212.020.150.622.38 3/8" @ 0.30M+122.6612.020.060.272.38 3/8" @ 0.30M-278.4212.020.150.622.38 3/8" @ 0.303M-225.0412.020.120.502.38 3/8" @ 0.30M+141.8812.020.070.312.38 3/8" @ 0.30M-252.6612.020.130.562.38 3/8" @ 0.306M-252.6612.020.130.562.38 3/8" @ 0.30M+188.8812.020.100.422.38 3/8" @ 0.30M-283.9612.020.150.632.38 3/8" @ 0.3010M-283.9612.020.150.632.38 3/8" @ 0.30M+183.9912.020.100.412.38 3/8" @ 0.30M-283.9612.020.150.632.38 3/8" @ 0.3012M-300.0712.020.160.662.38 3/8" @ 0.30M+435.2412.020.230.972.38 3/8" @ 0.30M-68.0812.020.040.152.38 3/8" @ 0.30
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