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Cálculo Tipo b (cm) h (cm) f'c (kg/cm2) fy (kg/cm2) β1 EST #4 (cm) Rec (cm) 60 40 240 4,200 0.85 1.27 6 dt (cm) εy εu Barra # Dametr! (cm) "rea(c m2) umer! de Barra\$ "\$t (cm2) 34 0.00 21 0.00 3 8 2.54 5.07 12 60.805 f'c (%S&) fy (%S&) h (cm) 3 60 22.92 0.573 Et= (cm) a (cm) c (t!*) +cc (t!* m) D\$ta*ca e*tre ,ru-!\$ umer! de ,ru-!\$ 0.0010 0 25.50 21.68 265.3 0 24.31 14 cm 3 ,ru- ! # de barra\$ d ε\$ f\$ (kg/cm2 ) "\$ (cm2) '\$ (t!*) T\$ (t!*) Bra.! a0a*ca + 1 5 6.00 - 0.002 3 4,200 25.34 101.2 4 - 14.0 14.1 7 2 2 20.0 0 - 0.000 6 1,320 10.13 11.31 - 0.0 0.00 3 5 34.0 0 0.001 0 2,040 25.34 - 51.68 14.0 7.24 4 5 OK 112.5 5 51.68 21.4 1 Pn= 326.17 ton n= 45.72 ton != 0.140 Pn=CC"#C\$i -#Ti Cc=0.85%&'c%()%*+ 1000 !=n+Pn

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Diagrama de interacion

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Clculo Tipo

b (cm)h (cm)f'c (kg/cm2)fy (kg/cm2)1EST #4 (cm)Rec (cm)

60402404,2000.851.276

dt (cm)yuBarra #Diametro (cm)Area(cm2)Numero de BarrasAst (cm2)

340.00210.00382.545.071260.805

f'c (KSI)fy (KSI).h (cm)

36022.920.573

Et=C (cm)a (cm)Cc (ton)Mcc (ton.m)Distancia entre GruposNumero de Grupos

0.0010025.5021.68265.3024.3114cm3

Grupo# de barrasdsifsi (kg/cm2)Asi (cm2)C'si (ton)Tsi (ton)Brazo PalancaMi

156.00-0.00234,20025.34101.24-14.014.17

2220.00-0.00061,32010.1311.31-0.00.00

3534.000.00102,04025.34-51.6814.07.24

4

5

OK112.5551.6821.41

Pn=326.17ton

Mn=45.72ton

e=0.140

Pn=CC+Csi -Ti

Cc=0.85*f'c*bw*a/1000

e=Mn/Pn

PuntoPn(ton)Mn(ton.m)Et=PuMuPnPuxMux

1732.580.000.0000476.170.00380.941.270.00000

2585.1131.46-0.0040380.3220.45380.321.020.00091

3511.7044.290.0000332.6128.79332.610.890.00128

4380.9459.550.0008247.6138.71247.610.660.00172

5223.4271.630.0021145.2246.56145.220.390.00207

6116.5969.420.003892.8755.3092.870.200.00201

7108.1968.780.004088.0455.9788.040.190.00199

869.7565.640.005062.7859.0762.780.120.00190

911.9760.540.007010.7754.4910.770.020.00175

100.0059.540.00760.0053.590.000.000.00172

Unitario

PuntoPn(ton)Mn(ton.m)Et=PuMuAlfa.Fi.PnPuxMux

1813.570.000.0000528.820.00423.061.410.00000

2511.7844.290.0000332.6628.79332.660.890.00128

3493.1549.400.0001320.5532.11320.550.860.00143

4354.7562.100.0010230.5940.37230.590.620.00180

5223.4271.630.0021145.2246.56145.220.390.00207

6108.1968.780.004088.0455.9788.040.190.00199

769.7565.640.005062.7859.0862.780.120.00190

836.0162.470.006032.4156.2232.410.060.00181

911.9760.540.007010.7754.4910.770.020.00175

100.0059.540.00760.0053.590.000.000.00172

Punto 4. As=3.5%Ag=161=81.03cm2

Punto 4.

Punto 5. Repetir todo con respecto Y-YNota: 121 acomodadas en 3 grupos (5,2,5)PuntoPn(ton)Mn(ton.m)Et=PuMuAlfa.Fi.PnPuxMux

1732.580.000.0000476.170.00380.941.270.00000

2586.0621.16-0.0005380.9413.75380.941.020.00092

3460.6535.490.0001299.4223.07299.420.800.00154

4326.1745.720.0010212.0129.72212.010.570.00198

5202.9153.000.0021131.8934.45131.890.350.00230

6154.6750.810.0030112.5436.97112.540.270.00221

7108.1347.870.004088.0038.9688.000.190.00208

867.8945.010.005061.1040.5161.100.120.00195

915.8339.740.007014.2535.7714.250.030.00172

100.0037.720.00780.0033.950.000.000.00164

As=3.5% Ag = 161 = 81.03cm2 . Con Respecto a y-yPuntoPn(ton)Mn(ton.m)Et=PuMuAlfa.Fi.PnPuxMux

10813.570.000.0000528.820.00423.061.410.00000

9650.8621.97-0.0006423.0614.28423.061.130.00095

8525.3935.590.0000341.5023.13341.500.910.00154

7505.1638.610.0001328.3525.10328.350.880.00168

6350.8547.960.0010228.0531.17228.050.610.00208

5200.8455.890.0021130.5536.33130.550.350.00243

4130.7254.250.003095.1139.4795.110.230.00235

370.1851.180.004057.1141.6557.110.120.00222

224.1148.070.005021.7043.2621.700.040.00209

10.0046.890.00550.0042.200.000.000.00204