Diseño de Columnas-zeña

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UNPRG-ING CIVIL CONCRETO ARMADO II JUAN MANUEL CHERO DAMIAN DISEÑO DE COLUMNAS DIAGRAMAS DE MOMENTOS : EJE 1-1 (X-X) MOMENTOS POR CARGA MUERTA 1.49 -1.45 P= 2.01 P= 1.99 -1.32 1.36 0.68 0.7 0.48 -1.87 P= 1.33 P= 2.6 P= 8.27 P= 6.1 -0.63 -0.72 -0.42 1.77 0.6 0.74 0.4 -1.72 P= 3.68 P= 7.81 P= 16.57 P= 10.48 -0.59 -0.72 -0.411 1.74 0.56 0.7 0.47 -1.68 P= 5.98 P= 13.09 P= 24.88 P= 14.83 -0.53 -0.67 -0.44 1.69 0.48 0.64 0.47 -1.64 P= 8.13 P= 18.52 P= 33.21 P= 19.15 -0.44 -0.61 -0.65 1.74 0.27 0.39 0.4 -1.44 P= 10.01 P= 24.23 P= 41.6 P= 23.42 -0.19 -0.24 -0.42 0.47 D C B A

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COLUMNAS

Transcript of Diseño de Columnas-zeña

PORTICO1XDISEO DE COLUMNAS

DIAGRAMAS DE MOMENTOS : EJE 1-1 (X-X)MOMENTOS POR CARGA MUERTA 1.49-1.45P=2.01P=1.99

-1.321.360.680.70.48-1.87

P=1.33P=2.6P=8.27P=6.1

-0.63-0.72-0.421.770.60.740.4-1.72

P=3.68P=7.81P=16.57P=10.48

-0.59-0.72-0.4111.740.560.70.47-1.68

P=5.98P=13.09P=24.88P=14.83

-0.53-0.67-0.441.690.480.640.47-1.64

P=8.13P=18.52P=33.21P=19.15

-0.44-0.61-0.651.740.270.390.4-1.44

P=10.01P=24.23P=41.6P=23.42

-0.19-0.24-0.420.47DCBAMOMENTOS POR CARGA VIVA0.25-0.25P=0.35P=0.35

-0.120.120.10.11-0.03-0.17

P=0.2P=0.4P=1.01P=0.7

-0.1-0.11-0.030.250.090.110.08-0.28

P=0.56P=1.19P=2.29P=1.37

-0.09-0.11-0.070.270.090.110.07-0.25

P=0.92P=2P=3.57P=2.04

-0.08-0.1-0.070.270.070.10.09-0.25

P=1.25P=2.83P=4.85P=2.7

-0.07-0.09-0.10.270.040.060.06-0.22

P=1.54P=3.7P=6.14P=3.35

-0.03-0.04-0.060.07DCBAMOMENTOS POR SISMO2.912.78P=1.14P=1.14

2.522.671.72.894.781.24

P=0.89P=0.58P=1.18P=2.65

1.452.663.414.12.433.736.711.22

P=3.66P=0.04P=1.1P=4.72

2.263.675.224.563.074.617.72.38

P=7.52P=1.27P=1.17P=7.43

2.994.596.794.513.374.987.863.49

P=12.21P=3.06P=1.39P=10.54

3.525.18.352.662.443.475.264.97

P=16.59P=4.86P=1.79P=13.52

3.413.9112.511.2DCBAMOMENTOS MAYORADOSMu =1.4*Mn+1.7*Mv2.51e=0.74-2.455P=3.41P=3.38e=0.73-2.052.111.121.170.621-2.907e=0.51e=0.28e=0.05P=2.20P=4.32P=13.30P=9.73e=0.30-1.05-1.20-0.642.900.991.220.70-2.88e=0.16e=0.09e=0.03P=6.10P=12.96P=27.09P=17.00e=0.17-0.98-1.20-0.692.900.941.170.78-2.78e=0.09e=0.05e=0.02P=9.94P=21.73P=40.90P=24.23e=0.12-0.88-1.11-0.742.830.791.070.81-2.72e=0.06e=0.03e=0.02P=13.51P=30.74P=54.74P=31.40e=0.09-0.74-1.01-1.082.900.450.650.66-2.39e=0.03e=0.02e=0.01P=16.63P=40.21P=68.68P=38.48e=0.06

-0.32-0.40-0.690.78DCBAMOMENTOS MAYORADOSMu =1.25(Mn+Mv)+1*S

5.09e=1.240.66P=4.09P=4.07e=1.110.724.522.683.905.34-1.31e=0.95e=0.90e=0.42P=2.80P=4.33P=12.78P=11.15e=0.590.541.622.856.633.294.797.31-1.28e=0.37e=0.42e=0.30P=8.96P=11.29P=24.68P=19.53e=0.361.412.634.627.073.885.628.38-0.03e=0.24e=0.28e=0.23P=16.15P=20.13P=36.73P=28.52e=0.242.233.636.156.964.065.918.561.13e=0.17e=0.20e=0.17P=23.94P=29.75P=48.97P=37.85e=0.142.884.237.415.172.834.035.842.90e=0.10e=0.10e=0.19P=31.03P=39.77P=61.47P=46.98e=0.25

3.143.5611.9011.88DCBAMOMENTOS MAYORADOSMu =1.25(Mn+Mv)+-1*S

-0.74e=2.39-4.91P=1.81P=1.79e=2.75-4.32-0.82-0.73-1.88-4.22-3.79e=2.31e=1.17e=0.40P=1.02P=3.17P=10.42P=5.85e=0.65-2.36-3.70-3.97-1.58-1.57-2.67-6.11-3.72e=1.90e=0.42e=0.27P=1.64P=11.21P=22.48P=10.09e=0.37-3.11-4.71-5.82-2.05-2.26-3.60-7.03-4.79e=3.40e=0.32e=0.22P=1.11P=17.59P=34.39P=13.66e=0.35-3.75-5.55-7.43-2.06-2.68-4.06-7.16-5.85e=-8.57e=0.22e=0.20P=-0.48P=23.63P=46.19P=16.77e=0.35-4.16-5.21-9.29-0.15-2.05-2.91-4.69-7.05e=-1.71e=0.14e=0.23P=-2.15P=30.05P=57.89P=19.94e=0.53

-3.69-4.26-13.10-10.53DCBAMOMENTOS MAYORADOSMu =0.9(Mn)+1*S4.25e=1.441.48P=2.95P=2.93e=1.331.333.892.313.525.21-0.44e=1.11e=1.21e=0.60P=2.09P=2.92P=8.62P=8.14e=0.700.882.013.035.692.974.407.07-0.33e=0.43e=0.62e=0.44P=6.97P=7.07P=16.01P=14.15e=0.431.733.024.856.133.575.248.120.87e=0.28e=0.40e=0.34P=12.90P=13.05P=23.56P=20.78e=0.292.513.996.396.033.805.568.282.01e=0.19e=0.28e=0.26P=19.53P=19.73P=31.28P=27.78e=0.153.125.107.774.232.683.825.623.67e=0.13e=0.14e=0.31P=25.60P=26.67P=39.23P=34.60e=0.34

3.243.6912.1211.62DCBAMOMENTOS MAYORADOSMu =0.9(Mn)+-1*S

-1.57e=5.54-4.09P=0.67P=0.65e=6.27-3.71-1.45-1.09-2.26-4.35-2.92e=6.57e=1.88e=0.69P=0.31P=1.76P=6.26P=2.84e=1.03-2.02-3.31-3.79-2.51-1.89-3.06-6.35-2.77e=-8.02e=0.62e=0.46P=-0.35P=6.99P=13.81P=4.71e=0.64-2.79-4.32-5.59-2.99-2.57-3.98-7.28-3.89e=-1.62e=0.49e=0.34P=-2.14P=10.51P=21.22P=5.92e=0.66-3.47-5.19-7.19-2.99-2.94-4.40-7.44-4.97e=-0.80e=0.37e=0.31P=-4.89P=13.61P=28.50P=6.70e=0.74-3.92-5.10-8.94-1.09-2.20-3.12-4.90-6.27e=-0.47e=0.24e=0.36P=-7.58P=16.95P=35.65P=7.56e=1.43

-3.58-4.13-12.88-10.78DCBA

&"-,Negrita"&UUNPRG-ING CIVIL&"-,Negrita"&UCONCRETO ARMADO II

&"-,Cursiva"&UJUAN MANUEL CHERO DAMIAN

PORTICO3XDISEO DE COLUMNAS

DIAGRAMAS DE MOMENTOS : EJE 3-3 (X-X)MOMENTOS POR CARGA MUERTA 0.38-0.5P=1.1P=1.18

-0.450.331.44-0.49-0.97

P=2.05P=5.02P=3.71

-1.340.530.791.3-0.6-0.73

P=5.8P=10.72P=6.46

-1.310.570.721.26-0.58-0.72

P=9.52P=16.51P=9.15

-1.260.540.671.21-0.61-0.68

P=13.19P=22.42P=11.78

-1.310.60.640.96-0.46-0.49

P=16.78P=28.56P=14.25

-0.460.220.24C'BA'MOMENTOS POR CARGA VIVA0.06-0.08P=0.19P=0.21

-0.040.020.22-0.11-0.11

P=0.31P=0.62P=0.43

-0.20.090.110.2-0.09-0.12

P=0.88P=1.5P=0.85

-0.20.080.110.19-0.09-0.11

P=1.45P=2.39P=1.27

-0.190.080.10.19-0.09-0.1

P=2.02P=3.3P=1.67

-0.20.090.10.15-0.07-0.08

P=2.57P=4.25P=2.05

-0.070.030.04

C'BA'MOMENTOS POR SISMO1.371.28P=0.93P=0.43

1.21.822.373.150.47

P=1.15P=1.29P=2.44

1.022.342.892.724.610.91

P=2.92P=2.07P=4.99

1.763.873.383.035.51.97

P=5.18P=3.42P=8.6

2.475.113.452.925.752.91

P=7.72P=5.17P=12.89

3.346.262.051.563.683.94

P=10.01P=6.91P=16.92

6.177.156.39C'BA'MOMENTOS MAYORADOSMu =1.4*Mn+1.7*Mv0.63e=0.37-0.836P=1.86P=2.01e=0.42-0.700.502.39-0.873-1.545e=0.70e=0.11P=3.40P=8.08P=5.925e=0.26-2.220.901.292.16-0.99-1.23e=0.23e=0.06P=9.62P=17.56P=10.49e=0.12-2.170.931.202.09-0.97-1.20e=0.13e=0.04P=15.79P=27.18P=14.97e=0.08-2.090.891.112.02-1.01-1.12e=0.10e=0.03P=21.90P=37.00P=19.33e=0.06-2.170.991.071.60-0.76-0.82e=0.06e=0.02P=27.86P=47.21P=23.44e=0.04

-0.760.360.40

C'BA'

MOMENTOS MAYORADOSMu =1.25(Mn+Mv)+1*S1.92e=0.760.56P=2.54P=2.17e=1.040.592.264.452.40-0.88e=1.08e=0.37P=4.10P=8.34P=7.62e=0.53-0.913.124.024.603.75-0.15e=0.41e=0.27P=11.27P=17.35P=14.13e=0.31-0.134.684.424.844.660.93e=0.26e=0.22P=18.89P=27.05P=21.63e=0.200.665.894.414.674.881.94e=0.17e=0.19P=26.73P=37.32P=29.70e=0.101.457.122.982.953.023.23e=0.16e=0.16P=34.20P=47.92P=37.30e=0.18

5.517.466.74

C'BA'

MOMENTOS MAYORADOSMu =1.25(Mn+Mv)+-1*S-0.82e=2.66-2.01P=0.68P=1.31e=1.53-1.81-1.38-0.30-3.90-1.82e=1.64e=0.68P=1.80P=5.76P=2.74e=0.67-2.95-1.57-1.77-0.85-5.47-1.97e=0.67e=0.41P=5.43P=13.21P=4.15e=0.56-3.65-3.06-2.34-1.22-6.34-3.01e=0.50e=0.31P=8.53P=20.21P=4.43e=0.68-4.28-4.34-2.49-1.17-6.63-3.89e=0.32e=0.25P=11.29P=26.98P=3.92e=0.99-3.59-5.40-1.13-0.17-4.34-4.65e=0.48e=0.20P=14.18P=34.10P=3.46e=1.75

-6.83-6.84-6.04

C'BA'

MOMENTOS MAYORADOSMu =0.9(Mn)+1*S1.71e=0.890.83P=1.92P=1.49e=1.420.802.123.672.71-0.40e=1.22e=0.49P=3.00P=5.81P=5.78e=0.62-0.192.823.603.894.070.25e=0.48e=0.37P=8.14P=11.72P=10.80e=0.370.584.384.034.164.981.32e=0.30e=0.31P=13.75P=18.28P=16.84e=0.241.345.604.054.015.202.30e=0.20e=0.27P=19.59P=25.35P=23.49e=0.113.346.802.632.423.273.50e=0.23e=0.23P=25.11P=32.61P=29.75e=0.22

5.767.356.61

C'BA'

MOMENTOS MAYORADOSMu =0.9(Mn)+-1*S

-1.03e=26.75-1.73P=0.06P=0.63e=2.74-1.61-1.52-1.07-3.59-1.34e=3.20e=1.11P=0.70P=3.23P=0.90e=2.42-2.23-1.86-2.18-1.55-5.15-1.57e=1.28e=0.68P=2.30P=7.58P=0.82e=3.32-2.94-3.36-2.73-1.90-6.02-2.62e=1.06e=0.53P=3.39P=11.44P=-0.36e=-7.80-3.60-4.62-2.85-1.83-6.30-3.52e=0.80e=0.42P=4.15P=15.01P=-2.29e=-1.54-3.34-5.72-1.47-0.70-4.09-4.38e=1.29e=0.37P=5.09P=18.79P=-4.10e=-1.51

-6.58-6.95-6.17

C'BA'

&"-,Negrita"UNPRG-ING CIVIL&"-,Negrita"CONCRETO ARMADO II

&"-,Cursiva"&UJUAN MANUEL CHERO DAMIAN

PORTICOAYDISEO DE COLUMNAS

DIAGRAMAS DE MOMENTOS : EJE A-A (Y-Y)MOMENTOS POR CARGA MUERTA -0.520.52P=1.49P=1.49

0.56-0.56-0.620.62

P=4.36P=4.36

0.63-0.63-0.640.64

P=7.46P=7.46

0.64-0.64-0.630.63

P=10.56P=10.56

0.63-0.63-0.660.66

P=13.66P=13.66

0.71-0.71-0.510.51

P=16.76P=16.76

0.25-0.25

21MOMENTOS POR CARGA VIVA-0.080.08P=0.26P=0.26

0.06-0.06-0.060.06

P=0.53P=0.53

0.09-0.09-0.120.12

P=1.05P=1.05

0.11-0.11-0.110.11

P=1.58P=1.58

0.11-0.11-0.110.11

P=2.11P=2.11

0.12-0.12-0.090.09

P=2.64P=2.64

0.04-0.04

21MOMENTOS POR SISMO1.371.37P=0.89P=0.89

0.922.372.370.92

P=3.01P=3.01

1.953.183.181.95

P=6.32P=6.32

2.893.713.712.89

P=10.58P=10.58

3.583.963.963.58

P=15.44P=15.44

4.143.263.264.14

P=20.22P=20.22

5.245.24

21MOMENTOS MAYORADOSMu =1.4*Mn+1.7*Mv-0.86e=0.350.864P=2.53P=2.53e=0.350.89-0.89-0.970.97e=0.15P=7.01P=7.005e=0.151.04-1.04-1.101.10e=0.09P=12.23P=12.23e=0.091.08-1.08-1.071.07e=0.06P=17.47P=17.47e=0.061.07-1.07-1.111.11e=0.05P=22.71P=22.71e=0.051.20-1.20-0.870.87e=0.03P=27.95P=27.95e=0.03

0.42-0.42

21

MOMENTOS MAYORADOSMu =1.25(Mn+Mv)+1*S0.62e=0.552.12P=3.08P=3.08e=0.691.701.601.521.77e=0.31P=9.12P=9.12e=0.252.852.282.232.90e=0.23P=16.96P=16.96e=0.173.832.772.793.82e=0.17P=25.76P=25.76e=0.154.513.043.004.54e=0.15P=35.15P=35.15e=0.135.182.222.514.89e=0.13P=44.47P=44.47e=0.11

5.604.88

21

MOMENTOS MAYORADOSMu =1.25(Mn+Mv)+-1*S-2.12e=1.63-0.62P=1.30P=1.30e=2.42-0.15-3.15-3.22-0.07e=1.04P=3.10P=3.10e=1.32-1.05-4.08-4.13-1.00e=0.96P=4.32P=4.32e=1.08-1.95-4.65-4.64-1.97e=1.01P=4.60P=4.60e=1.06-2.66-4.89-4.92-2.62e=1.15P=4.27P=4.27e=1.01-3.10-4.30-4.01-3.39e=1.21P=4.03P=4.03e=1.39

-4.88-5.60

21

MOMENTOS MAYORADOSMu =0.9(Mn)+1*S0.90e=0.641.84P=2.23P=2.23e=0.841.421.871.811.48e=0.36P=6.93P=6.93e=0.382.522.612.602.53e=0.27P=13.03P=13.03e=0.243.473.133.143.46e=0.21P=20.08P=20.08e=0.174.153.393.374.17e=0.17P=27.73P=27.73e=0.154.782.622.804.60e=0.15P=35.30P=35.30e=0.14

5.475.02

21

MOMENTOS MAYORADOSMu =0.9(Mn)+-1*S

-1.84e=4.08-0.90P=0.45P=0.45e=6.37-0.42-2.87-2.93-0.36e=3.20P=0.91P=0.91e=4.10-1.38-3.75-3.76-1.37e=9.53P=0.39P=0.39e=10.88-2.31-4.29-4.28-2.32e=-3.97P=-1.08P=-1.08e=-4.21-3.01-4.53-4.55-2.99e=-1.45P=-3.15P=-3.15e=-1.24-3.50-3.90-3.72-3.68e=-0.98P=-5.14P=-5.14e=-1.06

-5.02-5.47

21

&"-,Negrita"UNPRG - INGENIERIA CIVIL &"-,Normal" &"-,Negrita"CONCRETO ARMADO II

&"-,Negrita Cursiva"&UJUAN MANUEL CHERO DAMIAN

PORTICOBYDISEO DE COLUMNAS

DIAGRAMAS DE MOMENTOS : EJE B-B (Y-Y)MOMENTOS POR CARGA MUERTA -3.073.07P=4.28P=4.28

2.38-2.38-2.092.09

P=9.46P=9.46

2.39-2.39-2.612.61

P=15.44P=15.44

2.55-2.55-2.492.49

P=21.42P=21.42

2.46-2.462.612.61

P=27.4P=27.4

2.82-2.82-2.072.07

P=33.38P=33.38

1.02-1.02

31MOMENTOS POR CARGA VIVA-0.580.58P=0.83P=0.83

0.37-0.37-0.380.38

P=1.67P=1.67

0.6-0.6-0.750.75

P=3.31P=3.31

0.71-0.71-0.670.67

P=4.95P=4.95

0.67-0.67-0.720.72

P=6.58P=6.58

0.77-0.77-0.570.57

P=8.22P=8.22

0.28-0.28

31MOMENTOS POR SISMO3.883.88P=1.35P=1.35

1.976.996.991.97

P=4.41P=4.41

4.359.359.354.35

P=9.31P=9.31

7.5310.9410.947.53

P=15.73P=15.73

9.8511.3411.349.85

P=23.1P=23.1

12.027.887.8812.02

P=30.02P=30.02

16.5616.56

31MOMENTOS MAYORADOSMu =1.4*Mn+1.7*Mv-5.28e=0.715.284P=7.40P=7.40e=0.713.96-3.96-3.5723.572e=0.27P=16.08P=16.083e=0.274.37-4.37-4.934.93e=0.18P=27.24P=27.24e=0.184.78-4.78-4.634.63e=0.12P=38.40P=38.40e=0.124.58-4.582.434.88e=0.11P=49.55P=49.55e=0.115.26-5.26-3.873.87e=0.06P=60.71P=60.71e=0.06

1.90-1.90

31

MOMENTOS MAYORADOSMu =1.25(Mn+Mv)+1*S-0.68e=0.708.44P=7.74P=7.74e=1.095.413.553.905.06e=0.44P=18.32P=18.32e=0.318.095.615.158.55e=0.35P=32.75P=32.75e=0.2611.616.876.9911.48e=0.28P=48.69P=48.69e=0.2413.767.4313.7014.01e=0.25P=65.58P=65.58e=0.2116.513.394.5815.32e=0.22P=82.02P=82.02e=0.19

18.1914.94

31

MOMENTOS MAYORADOSMu =1.25(Mn+Mv)+-1*S-8.44e=1.680.68P=5.04P=5.04e=2.071.47-10.43-10.081.12e=1.06P=9.50P=9.50e=1.38-0.61-13.09-13.55-0.15e=0.96P=14.13P=14.13e=1.06-3.46-15.02-14.89-3.58e=0.86P=17.23P=17.23e=0.89-5.94-15.25-8.98-5.69e=0.46P=19.38P=19.38e=0.64-7.53-12.37-11.18-8.72e=0.68P=21.98P=21.98e=0.83

-14.94-18.19

31

MOMENTOS MAYORADOSMu =0.9(Mn)+1*S1.12e=0.796.64P=5.20P=5.20e=1.284.114.855.113.85e=0.50P=12.92P=12.92e=0.566.507.207.006.70e=0.42P=23.21P=23.21e=0.379.838.658.709.77e=0.34P=35.01P=35.01e=0.2812.069.1313.6912.20e=0.30P=47.76P=47.76e=0.2614.565.346.0213.88e=0.29P=60.06P=60.06e=0.26

17.4815.64

31

MOMENTOS MAYORADOSMu =0.9(Mn)+-1*S

-6.64e=2.66-1.12P=2.50P=2.50e=3.650.17-9.13-8.87-0.09e=2.16P=4.10P=4.10e=2.80-2.20-11.50-11.70-2.00e=2.55P=4.59P=4.59e=2.89-5.24-13.24-13.18-5.29e=3.72P=3.55P=3.55e=3.82-7.64-13.55-8.99-7.50e=6.08P=1.56P=1.56e=6.68-9.48-10.42-9.74-10.16e=711.00P=0.02P=0.02e=794.45

-15.64-17.48

31

&"-,Negrita"UNPRG - ING CIVIL&"-,Negrita"CONCRETO ARMADO II

&"-,Negrita Cursiva"&UJUAN MANUEL CHERO DAMIAN

PORTICOCYDISEO DE COLUMNAS

DIAGRAMAS DE MOMENTOS : EJE C-C (Y-Y)MOMENTOS POR CARGA MUERTA

0.930.510.43

P=2.55P=4.38P=1.4

-0.81-0.44-0.370.710.40.34

P=5.59P=9.02P=3.23

-0.73-0.39-0.310.70.420.33

P=8.59P=13.8P=4.97

-0.7-0.38-0.30.660.440.29

P=11.53P=18.71P=6.64

-0.7-0.41-0.220.460.330.18

P=14.38P=23.92P=8.11

-0.25-0.13-0.06123MOMENTOS POR CARGA VIVA

0.180.090.09

P=0.42P=0.63P=0.26

-0.19-0.1-0.090.190.110.09

P=1.23P=1.92P=0.73

-0.19-0.11-0.080.180.110.08

P=2.03P=3.23P=1.19

-0.19-0.1-0.070.180.120.08

P=2.82P=4.56P=1.63

-0.19-0.11-0.060.120.090.05

P=3.59P=5.96P=2.02

-0.07-0.04-0.02

123MOMENTOS POR SISMO

1.742.721.59

P=1.02P=0.11P=1.13

1.342.323.232.554.741.09

P=3.14P=1.64P=4.78

2.774.454.273.166.232.75

P=6.05P=4.74P=10.79

2.986.074.953.467.184.01

P=9.48P=9.09P=18.57

3.437.314.723.16.354.99

P=12.89P=14.07P=26.96

4.317.766.96123MOMENTOS MAYORADOSMu =1.4*Mn+1.7*Mv

1.610.8670.755e=0.38e=0.12P=4.28P=7.20P=2.402e=0.31-1.46-0.79-0.671.320.750.63e=0.14e=0.05P=9.92P=15.89P=5.76e=0.11-1.35-0.73-0.571.290.780.60e=0.08e=0.03P=15.48P=24.81P=8.98e=0.07-1.30-0.70-0.541.230.820.54e=0.06e=0.02P=20.94P=33.95P=12.07e=0.04-1.30-0.76-0.410.850.620.34e=0.03e=0.01P=26.24P=43.62P=14.79e=0.02

-0.47-0.25-0.12

123

MOMENTOS MAYORADOSMu =1.25(Mn+Mv)+1*S

3.133.472.24e=0.66e=0.54P=4.73P=6.37P=3.21e=0.830.091.652.663.685.381.63e=0.32e=0.35P=11.67P=15.32P=9.73e=0.391.623.833.784.266.893.26e=0.22e=0.26P=19.33P=26.03P=18.49e=0.241.875.474.494.517.884.47e=0.16e=0.21P=27.42P=38.18P=28.91e=0.152.326.664.373.836.885.28e=0.11e=0.15P=35.35P=51.42P=39.62e=0.17

3.917.556.86

123

MOMENTOS MAYORADOSMu =1.25(Mn+Mv)+-1*S

-0.35-1.97-0.94e=0.96e=0.49P=2.69P=6.15P=0.95e=4.03-2.59-3.00-3.81-1.43-4.10-0.55e=0.73e=0.42P=5.39P=12.04P=0.17e=27.99-3.92-5.08-4.76-2.06-5.57-2.24e=0.57e=0.40P=7.23P=16.55P=-3.09e=-1.75-4.09-6.67-5.41-2.41-6.48-3.55e=0.43e=0.40P=8.46P=20.00P=-8.23e=-0.62-3.67-7.96-5.07-2.38-5.83-4.70e=0.49e=0.34P=9.57P=23.28P=-14.30e=-0.49

-4.71-7.97-7.06

123

MOMENTOS MAYORADOSMu =0.9(Mn)+1*S

2.583.181.98e=0.78e=0.78P=3.32P=4.05P=2.39e=1.210.611.922.903.195.101.40e=0.39e=0.52P=8.17P=9.76P=7.69e=0.522.114.103.993.796.613.05e=0.28e=0.39P=13.78P=17.16P=15.26e=0.312.355.734.684.057.584.27e=0.20e=0.29P=19.86P=25.93P=24.55e=0.183.436.944.523.516.655.15e=0.16e=0.21P=25.83P=35.60P=34.26e=0.20

4.097.646.91

123

MOMENTOS MAYORADOSMu =0.9(Mn)+-1*S

-0.90-2.26-1.20e=1.62e=0.71P=1.28P=3.83P=0.13e=27.41-2.07-2.72-3.56-1.91-4.38-0.78e=1.81e=0.74P=1.89P=6.48P=-1.87e=-2.43-3.43-4.80-4.55-2.53-5.85-2.45e=2.15e=0.83P=1.68P=7.68P=-6.32e=-0.83-3.61-6.41-5.22-2.87-6.78-3.75e=3.82e=0.99P=0.90P=7.75P=-12.59e=-0.39-3.43-7.68-4.92-2.69-6.05-4.83e=87.21e=1.06P=0.05P=7.46P=-19.66e=-0.36

-4.54-7.88-7.01

123

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COLUMNA1ACOLUMNA 1-A: CARGAS Y MOMENTOS DE DISEO

PISOCOMBINACIONPuxPuyMuxMuyPuexeyAZOTEA1.4D+1.7L3.38 Tn7.40 Tn2.4555.28410.78 Tn0.21 m0.45 m1.25(D+L)+S4.07 Tn7.74 Tn4.528.442511.80 Tn0.38 m0.72 m1.25(D+L)-S1.79 Tn5.04 Tn4.90510.42756.82 Tn0.42 m0.88 m0.9D+S2.93 Tn5.20 Tn3.8946.6438.13 Tn0.33 m0.56 m0.9D-S0.67 Tn2.50 Tn3.7089.1323.17 Tn0.31 m0.77 m5 PISO1.4D+1.7L9.73 Tn7.01 Tn2.9031.03516.74 Tn0.14 m0.05 m1.25(D+L)+S11.15 Tn9.12 Tn6.6252.2820.27 Tn0.33 m0.11 m1.25(D+L)-S5.85 Tn3.10 Tn1.5754.088.95 Tn0.08 m0.20 m0.9D+S8.14 Tn6.93 Tn5.6932.61315.07 Tn0.28 m0.13 m0.9D-S2.84 Tn0.91 Tn2.5073.7473.75 Tn0.12 m0.18 m4 PISO1.4D+1.7L17.00 Tn12.23 Tn2.8951.08329.23 Tn0.08 m0.03 m1.25(D+L)+S19.53 Tn16.96 Tn7.07252.772536.49 Tn0.19 m0.08 m1.25(D+L)-S10.09 Tn4.32 Tn2.04754.647514.41 Tn0.06 m0.13 m0.9D+S14.15 Tn13.03 Tn6.1263.13427.19 Tn0.17 m0.09 m0.9D-S4.71 Tn0.39 Tn2.9944.2865.11 Tn0.08 m0.12 m3 PISO1.4D+1.7L24.23 Tn17.47 Tn2.8251.06941.70 Tn0.05 m0.02 m1.25(D+L)+S28.52 Tn25.76 Tn6.963.03554.27 Tn0.13 m0.06 m1.25(D+L)-S13.66 Tn4.60 Tn2.064.88518.25 Tn0.04 m0.09 m0.9D+S20.78 Tn20.08 Tn6.0313.39340.86 Tn0.11 m0.06 m0.9D-S5.92 Tn-1.08 Tn2.9894.5274.84 Tn0.06 m0.08 m2 PISO1.4D+1.7L31.40 Tn22.71 Tn2.8951.19854.11 Tn0.040 m0.016 m1.25(D+L)+S37.85 Tn35.15 Tn5.17252.222573.01 Tn0.071 m0.030 m1.25(D+L)-S16.77 Tn4.27 Tn0.14754.297521.05 Tn0.002 m0.059 m0.9D+S27.78 Tn27.73 Tn4.2262.62155.51 Tn0.058 m0.036 m0.9D-S6.70 Tn-3.15 Tn1.0943.8993.55 Tn0.015 m0.053 m1 PISO1.4D+1.7L38.48 Tn27.95 Tn2.390.86766.44 Tn0.026 m0.009 m1.25(D+L)+S46.98 Tn44.47 Tn11.8754.8991.45 Tn0.130 m0.053 m1.25(D+L)-S19.94 Tn4.03 Tn10.5255.602523.97 Tn0.115 m0.061 m0.9D+S34.60 Tn35.30 Tn11.6235.01569.90 Tn0.127 m0.055 m0.9D-S7.56 Tn-5.14 Tn10.7775.4652.42 Tn0.118 m0.060 m DISEO

DISEO PARA EL PRIMER Y SEGUNDO PISODel predimensionamiento tenemos:b =0.30 mrec=4.00 cmh=0.50 mf'c =210 Kg/cm2Cargas:Pu =91.45 Tnfy =4200 Kg/cm2Mux=11.875est=3/8estriboMuy=5.6025b=3/4diametro asumidoAsx2.12entonces:Asx =2.12*Asy23/4+25/8asumimos una cuantia de: =200.00 %Asy25/8+05/8area de refuerzo = As = b*h* =30.00 cm20.50 m25/8+05/8As = 2.12*Asy + AsyAsy =9.62 cm223/4+25/8Asx=20.38 cm2Ast =27.236 cm20.30 mAplicacin de la formula de BreslerPno =377.28 TnDeterminaiocion de Pnx =0.0182Rn =0.108Carga resistente =0.764

entrando a la grafica del SP-17 para refuerzo en4 caras, se tienePn =232.37 Tn = 0.7Kn =0.88Pu =162.66 Tn = 0.764Kn =0.905521.1Pu =100.60 TnO.K = 0.8Kn =0.92

Pnx =285.24 Tn

Determinacion de Pny =0.0182Rn =0.085 =0.606

= 0.6Kn =0.92 = 0.606Kn =0.9206333333 = 0.7Kn =0.93

Pny =290.00 Tn DISEO

DISEO PARA EL TERCER Y CUARTO PISODel predimensionamiento tenemos:b =0.30 mrec=4.00 cmh=0.50 mf'c =210 Kg/cm2Cargas:Pu =54.27 Tnfy =4200 Kg/cm2Mux=7.0725est=3/8estriboMuy=4.885b=3/4diametro asumidoAsx1.45entonces:Asx =1.45*Asy25/8+11/2asumimos una cuantia de: =100.00 %Asy21/2+05/8area de refuerzo = As = b*h* =15.00 cm20.50 m21/2+05/8As = 1.45*Asy + AsyAsy =6.13 cm225/8+11/2Asx=8.87 cm2Ast =15.518 cm20.30 mAplicacin de la formula de BreslerPno =330.16 TnDeterminaiocion de Pnx =0.0103Rn =0.064Carga resistente =0.764

entrando a la grafica del SP-17 para refuerzo en4 caras, se tienePn =233.58 Tn = 0.7Kn =0.88Pu =163.51 Tn = 0.764Kn =0.899141.1Pu =59.70 TnO.K = 0.8Kn =0.91SOLO CON LA CUANTIA MINIMAPnx =283.23 Tn

Determinacion de Pny =0.0103Rn =0.074 =0.606

= 0.6Kn =0.84 = 0.606Kn =0.84 = 0.7Kn =0.84

Pny =264.60 Tn DISEO

DISEO PARA EL QUINTO PISO Y AZOTEADel predimensionamiento tenemos:b =0.30 mrec=4.00 cmh=0.50 mf'c =210 Kg/cm2Cargas:Pu =20.27 Tnfy =4200 Kg/cm2Mux=6.625est=3/8estriboMuy=10.4275b=3/4diametro asumidoAsx0.64entonces:Asx =0.64*Asy41/2+01/2asumimos una cuantia de: =100.00 %Asy21/2+05/8area de refuerzo = As = b*h* =15.00 cm20.50 m21/2+05/8As = 0.64*Asy + AsyAsy =9.17 cm241/2+01/2Asx=5.83 cm2Ast =15.201 cm20.30 mAplicacin de la formula de BreslerPno =328.88 TnDeterminaiocion de Pnx =0.0101Rn =0.060Carga resistente =0.764

entrando a la grafica del SP-17 para refuerzo en4 caras, se tienePn =225.13 Tn = 0.7Kn =0.86Pu =157.59 Tn = 0.764Kn =0.879141.1Pu =22.30 TnO.K = 0.8Kn =0.89SOLO CON LA CUANTIA MINIMAPnx =276.93 Tn

Determinacion de Pny =0.0101Rn =0.158 =0.606

= 0.6Kn =0.82 = 0.606Kn =0.82 = 0.7Kn =0.82

Pny =258.30 TnESTRIBOSsegn norma E-060 y E.030-Zona de confinamientoHc =2.50 mLo = Hc/6 =0.42 mLo = t (col.)0.50 mLo =0.50 m

So = 8*db(menor)0.13 mSo = s/20.15 mSo =0.10 m

espaciamiento adoptadoSo =0.10 mlong. Adoptada (mayor)Lo =0.50 m(entero)

-Fuera de la zona de confinamiento S = 16 db (menor) 0.25 mS= 48 ds (estribo)0.46 mS = s0.30 m

espaciamiento adoptados =0.25 m

[email protected][email protected], rto @0.25A/S

&"-,Negrita"UNPRG - ING CIVIL&"-,Negrita"CONCRETO ARMADO II

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COLUMNA1BCOLUMNA 1-B

PISOCOMBINACIONPuxPuyMuxMuyPuexeyAZOTEA1.4D+1.7L3.41 Tn7.40 Tn2.5115.28410.81 Tn0.21 m0.45 m1.25(D+L)+S4.09 Tn7.74 Tn5.0858.442511.83 Tn0.43 m0.71 m1.25(D+L)-S1.81 Tn5.04 Tn4.3210.42756.85 Tn0.37 m0.88 m0.9D+S2.95 Tn5.20 Tn4.2516.6438.15 Tn0.36 m0.56 m0.9D-S0.67 Tn2.50 Tn3.7089.1323.17 Tn0.31 m0.77 m5 PISO1.4D+1.7L3.41 Tn16.08 Tn0.6394.36619.49 Tn0.02 m0.14 m1.25(D+L)+S12.78 Tn18.32 Tn2.84755.612531.10 Tn0.09 m0.18 m1.25(D+L)-S10.42 Tn9.50 Tn3.972513.087519.92 Tn0.13 m0.42 m0.9D+S8.62 Tn12.92 Tn3.0327.19921.55 Tn0.10 m0.23 m0.9D-S6.26 Tn4.10 Tn3.78811.50110.37 Tn0.12 m0.37 m4 PISO1.4D+1.7L3.41 Tn27.24 Tn0.69444.77730.65 Tn0.01 m0.08 m1.25(D+L)+S24.68 Tn32.75 Tn4.618756.86557.42 Tn0.08 m0.12 m1.25(D+L)-S22.48 Tn14.13 Tn5.8212515.01536.60 Tn0.10 m0.26 m0.9D+S16.01 Tn23.21 Tn4.85018.64539.22 Tn0.08 m0.15 m0.9D-S13.81 Tn4.59 Tn5.589913.23518.40 Tn0.10 m0.23 m3 PISO1.4D+1.7L3.41 Tn38.40 Tn0.7354.58341.81 Tn0.01 m0.05 m1.25(D+L)+S36.73 Tn48.69 Tn6.15257.427585.43 Tn0.07 m0.09 m1.25(D+L)-S34.39 Tn17.23 Tn7.427515.252551.63 Tn0.09 m0.18 m0.9D+S23.56 Tn35.01 Tn6.3949.12658.57 Tn0.07 m0.11 m0.9D-S21.22 Tn3.55 Tn7.18613.55424.77 Tn0.08 m0.16 m2 PISO1.4D+1.7L3.41 Tn49.55 Tn1.085.25752.96 Tn0.009 m0.046 m1.25(D+L)+S48.97 Tn65.58 Tn7.41253.3925114.54 Tn0.065 m0.030 m1.25(D+L)-S46.19 Tn19.38 Tn9.287512.367565.56 Tn0.081 m0.108 m0.9D+S31.28 Tn47.76 Tn7.7655.34279.04 Tn0.068 m0.047 m0.9D-S28.50 Tn1.56 Tn8.93510.41830.06 Tn0.078 m0.091 m1 PISO1.4D+1.7L3.41 Tn60.71 Tn0.693.86764.12 Tn0.005 m0.027 m1.25(D+L)+S61.47 Tn82.02 Tn11.915.32143.49 Tn0.083 m0.107 m1.25(D+L)-S57.89 Tn21.98 Tn13.118.18579.87 Tn0.091 m0.127 m0.9D+S39.23 Tn60.06 Tn12.12215.64299.29 Tn0.084 m0.109 m0.9D-S35.65 Tn0.02 Tn12.87817.47835.67 Tn0.090 m0.122 m

DISEO

DISEO PARA EL PRIMER Y SEGUNDO PISODel predimensionamiento tenemos:b =0.40 mrec=4.00 cmh=0.60 mf'c =210 Kg/cm2Cargas:Pu =143.49 Tnfy =4200 Kg/cm2Mux=13.1est=3/8estriboMuy=18.185b=3/4diametro asumido

Asx0.72entonces:Asx =0.72*Asy23/4+25/8asumimos una cuantia de: =150.00 %Asy25/8+05/8area de refuerzo = As = b*h* =36.00 cm20.60 m25/8+05/8As = 0.72*Asy + AsyAsy =20.93 cm223/4+25/8Asx=15.07 cm2Ast =27.236 cm20.40 m

Aplicacin de la formula de Bresler

Pno =537.93 Tn

Determinaiocion de Pnx =0.011Rn =0.062Carga resistente =0.803

entrando a la grafica del SP-17 para refuerzo en4 caras, se tienePn =276.47 Tn = 0.8Kn =0.91Pu =193.53 Tn = 0.803Kn =0.91031666671.1Pu =157.83 TnO.K = 0.9Kn =0.92

Pnx =458.80 TnSE TUVO QUE AUMENTAR LA SECCION ORIGINAL

Determinacion de Pny =0.0113Rn =0.129 =0.705

= 0.7Kn =0.6 = 0.705Kn =0.6019 = 0.8Kn =0.64

Pny =303.36 Tn

DISEO

DISEO PARA EL TERCER Y CUARTO PISODel predimensionamiento tenemos:b =0.40 mrec=4.00 cmh=0.60 mf'c =210 Kg/cm2Cargas:Pu =85.43 Tnfy =4200 Kg/cm2Mux=7.4275est=3/8estriboMuy=15.2525b=3/4diametro asumido

Asx0.49entonces:Asx =0.49*Asy25/8+21/2asumimos una cuantia de: =100.00 %Asy25/8+05/8area de refuerzo = As = b*h* =24.00 cm20.60 m25/8+05/8As = 0.49*Asy + AsyAsy =16.14 cm225/8+21/2Asx=7.86 cm2Ast =20.902 cm20.40 m

Aplicacin de la formula de Bresler

Pno =512.46 Tn

Determinaiocion de Pnx =0.009Rn =0.035Carga resistente =0.803

entrando a la grafica del SP-17 para refuerzo en4 caras, se tienePn =358.40 Tn = 0.8Kn =0.96Pu =250.88 Tn = 0.803Kn =0.96063333331.1Pu =93.97 TnO.K = 0.9Kn =0.98SOLO CON LA CUANTIA MINIMAPnx =484.16 Tn

Determinacion de Pny =0.009Rn =0.108 =0.705

= 0.7Kn =0.74 = 0.705Kn =0.741425 = 0.8Kn =0.77

Pny =373.68 Tn

DISEO

DISEO PARA EL QUINTO PISO Y AZOTEADel predimensionamiento tenemos:b =0.40 mrec=4.00 cmh=0.60 mf'c =210 Kg/cm2Cargas:Pu =31.10 Tnfy =4200 Kg/cm2Mux=5.085est=3/8estriboMuy=13.0875b=3/4diametro asumido

Asx0.39entonces:Asx =0.39*Asy25/8+21/2asumimos una cuantia de: =100.00 %Asy25/8+05/8area de refuerzo = As = b*h* =24.00 cm20.60 m25/8+05/8As = 0.39*Asy + AsyAsy =17.28 cm225/8+21/2Asx=6.72 cm2Ast =20.902 cm20.40 m

Aplicacin de la formula de Bresler

Pno =512.46 Tn

Determinaiocion de Pnx =0.009Rn =0.024Carga resistente =0.803

entrando a la grafica del SP-17 para refuerzo en4 caras, se tienePn =370.56 Tn = 0.8Kn =0.94Pu =259.39 Tn = 0.803Kn =0.94063333331.1Pu =34.21 TnO.K = 0.9Kn =0.96SOLO CON LA CUANTIA MINIMAPnx =474.08 Tn

Determinacion de Pny =0.009Rn =0.093 =0.705

= 0.7Kn =0.78 = 0.705Kn =0.78095 = 0.8Kn =0.8

Pny =393.60 Tn

ESTRIBOSsegn norma E-060 y E.030-Zona de confinamientoHc =2.50 mLo = Hc/6 =0.42 mLo = t (col.)0.60 mLo =0.50 m

So = 8*db(menor)0.13 mSo = s/20.20 mSo =0.10 m

espaciamiento adoptadoSo =0.10 mlong. Adoptada (mayor)Lo =0.60 m(entero)

-Fuera de la zona de confinamiento S = 16 db (menor) 0.25 mS= 48 ds (estribo)0.46 mS = s0.40 m

espaciamiento adoptados =0.25 m

[email protected][email protected], rto @0.25A/S

&"-,Negrita"UNPRG - ING CIVIL&"-,Negrita"CONCRETO ARMADO II

&"-,Negrita Cursiva"&UJUAN MANUEL CHERO DAMIAN

COLUMNA1CCOLUMNA 1-C

PISOCOMBINACIONPuxPuyMuxMuyPuexeyAZOTEA1.4D+1.7L1.25(D+L)+S1.25(D+L)-S0.9D+S0.9D-S5 PISO1.4D+1.7L4.32 Tn4.28 Tn1.1951.6088.60 Tn0.13 m0.18 m1.25(D+L)+S4.33 Tn4.73 Tn3.90253.12759.06 Tn0.43 m0.35 m1.25(D+L)-S3.17 Tn2.69 Tn3.69752.595.86 Tn0.41 m0.29 m0.9D+S2.92 Tn3.32 Tn3.522.5776.24 Tn0.39 m0.28 m0.9D-S1.76 Tn1.28 Tn3.3082.0693.04 Tn0.37 m0.23 m4 PISO1.4D+1.7L12.96 Tn9.92 Tn1.2231.34522.87 Tn0.053 m0.059 m1.25(D+L)+S11.29 Tn11.67 Tn4.79253.67522.96 Tn0.209 m0.160 m1.25(D+L)-S11.21 Tn5.39 Tn4.70753.9216.60 Tn0.205 m0.171 m0.9D+S7.07 Tn8.17 Tn4.3963.18915.24 Tn0.192 m0.139 m0.9D-S6.99 Tn1.89 Tn4.3183.4278.88 Tn0.188 m0.149 m3 PISO1.4D+1.7L21.73 Tn15.48 Tn1.1671.30337.20 Tn0.030 m0.033 m1.25(D+L)+S20.13 Tn19.33 Tn5.62254.2639.46 Tn0.142 m0.108 m1.25(D+L)-S17.59 Tn7.23 Tn5.55254.092524.82 Tn0.141 m0.104 m0.9D+S13.05 Tn13.78 Tn5.243.7926.83 Tn0.133 m0.096 m0.9D-S10.51 Tn1.68 Tn5.1933.6112.19 Tn0.132 m0.091 m2 PISO1.4D+1.7L30.74 Tn20.94 Tn1.0661.30351.68 Tn0.019 m0.023 m1.25(D+L)+S29.75 Tn27.42 Tn5.9054.5157.17 Tn0.103 m0.079 m1.25(D+L)-S23.63 Tn8.46 Tn5.21253.667532.09 Tn0.091 m0.064 m0.9D+S19.73 Tn19.86 Tn5.5564.05439.59 Tn0.097 m0.071 m0.9D-S13.61 Tn0.90 Tn5.13.4314.51 Tn0.089 m0.060 m1 PISO1.4D+1.7L40.21 Tn26.24 Tn0.6480.84866.45 Tn0.009 m0.011 m1.25(D+L)+S39.77 Tn35.35 Tn4.03253.9175.13 Tn0.054 m0.052 m1.25(D+L)-S30.05 Tn9.57 Tn4.264.7139.63 Tn0.057 m0.063 m0.9D+S26.67 Tn25.83 Tn3.8214.08552.50 Tn0.051 m0.054 m0.9D-S16.95 Tn0.05 Tn4.1264.53517.00 Tn0.055 m0.060 m

DISEO

DISEO PARA EL PRIMER Y SEGUNDO PISODel predimensionamiento tenemos:b =0.30 mrec=4.00 cmh=0.40 mf'c =210 Kg/cm2Cargas:Pu =75.13 Tnfy =4200 Kg/cm2Mux=5.905est=3/8estriboMuy=4.71b=3/4diametro asumido

Asx1.25entonces:Asx =1.25*Asy25/8+15/8asumimos una cuantia de: =150.00 %Asy21/2+05/8area de refuerzo = As = b*h* =18.00 cm20.40 m21/2+05/8As = 1.25*Asy + AsyAsy =7.99 cm225/8+15/8Asx=10.01 cm2Ast =16.943 cm20.30 m

Aplicacin de la formula de Bresler

Pno =282.34 Tn

Determinaiocion de Pnx =0.0141Rn =0.084Carga resistente =0.705

entrando a la grafica del SP-17 para refuerzo en4 caras, se tienePn =186.07 Tn = 0.7Kn =0.91Pu =130.25 Tn = 0.705Kn =0.9104751.1Pu =82.64 TnO.K = 0.8Kn =0.92

Pnx =229.44 Tn

Determinacion de Pny =0.0141Rn =0.089 =0.606

= 0.6Kn =0.87 = 0.606Kn =0.8706333333 = 0.7Kn =0.88

Pny =219.40 Tn

DISEO

DISEO PARA EL TERCER Y CUARTO PISODel predimensionamiento tenemos:b =0.30 mrec=4.00 cmh=0.40 mf'c =210 Kg/cm2Cargas:Pu =39.46 Tnfy =4200 Kg/cm2Mux=5.6225est=3/8estriboMuy=4.26b=3/4diametro asumido

Asx1.32entonces:Asx =1.32*Asy25/8+01/2asumimos una cuantia de: =100.00 %Asy21/2+05/8area de refuerzo = As = b*h* =12.00 cm20.40 m21/2+05/8As = 1.32*Asy + AsyAsy =5.17 cm225/8+01/2Asx=6.83 cm2Ast =12.984 cm20.30 m

Aplicacin de la formula de Bresler

Pno =266.42 Tn

Determinaiocion de Pnx =0.0108Rn =0.080Carga resistente =0.705

entrando a la grafica del SP-17 para refuerzo en4 caras, se tienePn =169.15 Tn = 0.7Kn =0.82Pu =118.40 Tn = 0.705Kn =0.820951.1Pu =43.40 TnO.K = 0.8Kn =0.84SOLO CON LA CUANTIA MINIMAPnx =206.88 Tn

Determinacion de Pny =0.0108Rn =0.080 =0.606

= 0.6Kn =0.82 = 0.606Kn =0.8212666667 = 0.7Kn =0.84

Pny =206.96 Tn

DISEO

DISEO PARA EL QUINTO PISO Y AZOTEADel predimensionamiento tenemos:b =0.30 mrec=4.00 cmh=0.40 mf'c =210 Kg/cm2Cargas:Pu =9.06 Tnfy =4200 Kg/cm2Mux=4.7925est=3/8estriboMuy=3.1275b=3/4diametro asumido

Asx1.53entonces:Asx =1.53*Asy25/8+01/2asumimos una cuantia de: =100.00 %Asy21/2+05/8area de refuerzo = As = b*h* =12.00 cm20.40 m21/2+05/8As = 1.53*Asy + AsyAsy =4.74 cm225/8+01/2Asx=7.26 cm2Ast =12.984 cm20.30 m

Aplicacin de la formula de Bresler

Pno =266.42 Tn

Determinaiocion de Pnx =0.0108Rn =0.068Carga resistente =0.705

entrando a la grafica del SP-17 para refuerzo en4 caras, se tienePn =183.05 Tn = 0.7Kn =0.86Pu =128.13 Tn = 0.705Kn =0.860951.1Pu =9.97 TnO.K = 0.8Kn =0.88SOLO CON LA CUANTIA MINIMAPnx =216.96 Tn

Determinacion de Pny =0.0108Rn =0.059 =0.606

= 0.6Kn =0.86 = 0.606Kn =0.8612666667 = 0.7Kn =0.88

Pny =217.04 Tn

ESTRIBOSsegn norma E-060 y E.030-Zona de confinamientoHc =2.50 mLo = Hc/6 =0.42 mLo = t (col.)0.40 mLo =0.50 m

So = 8*db(menor)0.10 mSo = s/20.15 mSo =0.10 m

espaciamiento adoptadoSo =0.10 mlong. Adoptada (mayor)Lo =0.50 m(entero)

-Fuera de la zona de confinamiento S = 16 db (menor) 0.20 mS= 48 ds (estribo)0.46 mS = s0.30 m

espaciamiento adoptados =0.20 m

[email protected][email protected], rto @0.20A/S

&"-,Negrita"UNPRG - ING CIVIL&"-,Negrita"CONCRETO ARMADO II

&"-,Negrita Cursiva"&UJUAN MANUEL CHERO DAMIAN

COLUMNA1DCOLUMNA 1-D

PISOCOMBINACIONPuxPuyMuxMuyPuexeyAZOTEA1.4D+1.7L1.25(D+L)+S1.25(D+L)-S0.9D+S0.9D-S5 PISO1.4D+1.7L2.20 Tn1.1222.20 Tn0.40 m1.25(D+L)+S2.80 Tn2.6752.80 Tn0.95 m1.25(D+L)-S1.02 Tn2.36251.02 Tn0.84 m0.9D+S2.09 Tn2.3122.09 Tn0.82 m0.9D-S0.31 Tn2.0170.31 Tn0.72 m4 PISO1.4D+1.7L6.10 Tn0.9936.10 Tn0.111 m1.25(D+L)+S8.96 Tn3.29258.96 Tn0.367 m1.25(D+L)-S1.64 Tn3.111.64 Tn0.347 m0.9D+S6.97 Tn2.976.97 Tn0.331 m0.9D-S-0.35 Tn2.791-0.35 Tn0.311 m3 PISO1.4D+1.7L9.94 Tn0.9379.94 Tn0.058 m1.25(D+L)+S16.15 Tn3.882516.15 Tn0.240 m1.25(D+L)-S1.11 Tn3.75251.11 Tn0.232 m0.9D+S12.90 Tn3.57412.90 Tn0.221 m0.9D-S-2.14 Tn3.467-2.14 Tn0.215 m2 PISO1.4D+1.7L13.51 Tn0.79113.51 Tn0.033 m1.25(D+L)+S23.94 Tn4.057523.94 Tn0.170 m1.25(D+L)-S-0.48 Tn4.1575-0.48 Tn0.174 m0.9D+S19.53 Tn3.80219.53 Tn0.159 m0.9D-S-4.89 Tn3.916-4.89 Tn0.164 m1 PISO1.4D+1.7L16.63 Tn0.44616.63 Tn0.014 m1.25(D+L)+S31.03 Tn3.13531.03 Tn0.101 m1.25(D+L)-S-2.15 Tn3.685-2.15 Tn0.119 m0.9D+S25.60 Tn3.23925.60 Tn0.104 m0.9D-S-7.58 Tn3.581-7.58 Tn0.115 m

DISEO

DISEO PARA EL PRIMER Y SEGUNDO PISODel predimensionamiento tenemos:b =0.30 mrec=4.00 cmh=0.30 mf'c =210 Kg/cm2Cargas:Pu =31.03 Tnfy =4200 Kg/cm2Mux=4.1575est=3/8estriboMuy=0b=3/4diametro asumido

Asx0.00entonces:Asx =0.00*Asy31/2+05/8asumimos una cuantia de: =100.00 %Asy21/2+05/8area de refuerzo = As = b*h* =9.00 cm20.30 m01/2+05/8As = 0.00*Asy + AsyAsy =9.00 cm231/2+05/8Asx=0.00 cm2Ast =10.134 cm20.30 m

Aplicacin de la formula de Bresler

Pno =201.40 Tn

Determinaiocion de Pnx =0.0113Rn =0.105Carga resistente =0.606

entrando a la grafica del SP-17 para refuerzo en4 caras, se tienePn =159.00 Tn = 0.6Kn =0.84Pu =111.30 Tn = 0.606Kn =0.84126666671.1Pu =34.13 TnO.K = 0.7Kn =0.86

Pnx =159.00 Tn

DISEO

DISEO PARA EL TERCER Y CUARTO PISODel predimensionamiento tenemos:b =0.30 mrec=4.00 cmh=0.30 mf'c =210 Kg/cm2Cargas:Pu =16.15 Tnfy =4200 Kg/cm2Mux=3.8825est=3/8estriboMuy=0b=3/4diametro asumido

Asx0.00entonces:Asx =0.00*Asy31/2+01/2asumimos una cuantia de: =100.00 %Asy21/2+05/8area de refuerzo = As = b*h* =9.00 cm20.30 m01/2+05/8As = 0.00*Asy + AsyAsy =9.00 cm231/2+01/2Asx=0.00 cm2Ast =10.134 cm20.30 m

Aplicacin de la formula de Bresler

Pno =201.40 Tn

Determinaiocion de Pnx =0.0113Rn =0.098Carga resistente =0.606

entrando a la grafica del SP-17 para refuerzo en2 caras, se tienePn =144.60 Tn = 0.6Kn =0.76Pu =101.22 Tn = 0.606Kn =0.76506666671.1Pu =17.76 TnO.K = 0.7Kn =0.84SOLO CON LA CUANTIA MINIMAPnx =144.60 Tn

DISEO

DISEO PARA EL QUINTO PISO Y AZOTEADel predimensionamiento tenemos:b =0.30 mrec=4.00 cmh=0.30 mf'c =210 Kg/cm2Cargas:Pu =2.80 Tnfy =4200 Kg/cm2Mux=2.675est=3/8estriboMuy=0b=3/4diametro asumido

Asx0.00entonces:Asx =0.00*Asy31/2+01/2asumimos una cuantia de: =100.00 %Asy21/2+05/8area de refuerzo = As = b*h* =9.00 cm20.30 m01/2+05/8As = 0.00*Asy + AsyAsy =9.00 cm231/2+01/2Asx=0.00 cm2Ast =10.134 cm20.30 m

Aplicacin de la formula de Bresler

Pno =201.40 Tn

Determinaiocion de Pnx =0.0113Rn =0.067Carga resistente =0.606

entrando a la grafica del SP-17 para refuerzo en4 caras, se tienePn =155.22 Tn = 0.7Kn =0.84Pu =108.65 Tn = 0.606Kn =0.82126666671.1Pu =3.08 TnO.K = 0.8Kn =0.86SOLO CON LA CUANTIA MINIMAPnx =155.22 Tn

ESTRIBOSsegn norma E-060 y E.030-Zona de confinamientoHc =2.50 mLo = Hc/6 =0.42 mLo = t (col.)0.30 mLo =0.50 m

So = 8*db(menor)0.10 mSo = s/20.15 mSo =0.10 m

espaciamiento adoptadoSo =0.10 mlong. Adoptada (mayor)Lo =0.50 m(entero)

-Fuera de la zona de confinamiento S = 16 db (menor) 0.20 mS= 48 ds (estribo)0.46 mS = s0.30 m

espaciamiento adoptados =0.20 m

[email protected][email protected], rto @0.2A/S

&"-,Negrita"UNPRG - ING CIVIL&"-,Negrita"CONCRETO ARMADO II

&"-,Negrita Cursiva"&UJUAN MANUEL CHERO DAMIAN

COLUMNA2ACOLUMNA 2-A

PISOCOMBINACIONPuxPuyMuxMuyPuexeyAZOTEA1.4D+1.7L2.53 Tn0.8862.53 Tn0.29 m1.25(D+L)+S3.08 Tn1.6953.08 Tn0.55 m1.25(D+L)-S1.30 Tn2.121.30 Tn0.69 m0.9D+S2.23 Tn1.4242.23 Tn0.46 m0.9D-S0.45 Tn1.8380.45 Tn0.60 m5 PISO1.4D+1.7L7.01 Tn1.0357.01 Tn0.11 m1.25(D+L)+S9.12 Tn2.859.12 Tn0.31 m1.25(D+L)-S3.10 Tn1.053.10 Tn0.12 m0.9D+S6.93 Tn2.5176.93 Tn0.28 m0.9D-S0.91 Tn1.3830.91 Tn0.15 m4 PISO1.4D+1.7L12.23 Tn1.08312.23 Tn0.06 m1.25(D+L)+S16.96 Tn3.827516.96 Tn0.23 m1.25(D+L)-S4.32 Tn1.95254.32 Tn0.12 m0.9D+S13.03 Tn3.46613.03 Tn0.20 m0.9D-S0.39 Tn2.3140.39 Tn0.14 m3 PISO1.4D+1.7L17.47 Tn1.06917.47 Tn0.04 m1.25(D+L)+S25.76 Tn4.50525.76 Tn0.17 m1.25(D+L)-S4.60 Tn2.6554.60 Tn0.10 m0.9D+S20.08 Tn4.14720.08 Tn0.16 m0.9D-S-1.08 Tn3.013-1.08 Tn0.12 m2 PISO1.4D+1.7L22.71 Tn1.19822.71 Tn0.034 m1.25(D+L)+S35.15 Tn5.177535.15 Tn0.147 m1.25(D+L)-S4.27 Tn3.10254.27 Tn0.088 m0.9D+S27.73 Tn4.77927.73 Tn0.136 m0.9D-S-3.15 Tn3.501-3.15 Tn0.100 m1 PISO1.4D+1.7L27.95 Tn0.86727.95 Tn0.019 m1.25(D+L)+S44.47 Tn5.602544.47 Tn0.126 m1.25(D+L)-S4.03 Tn4.87754.03 Tn0.110 m0.9D+S35.30 Tn5.46535.30 Tn0.123 m0.9D-S-5.14 Tn5.015-5.14 Tn0.113 m DISEO

DISEO PARA EL PRIMER Y SEGUNDO PISODel predimensionamiento tenemos:b =0.30 mrec=4.00 cmh=0.40 mf'c =210 Kg/cm2Cargas:Pu =44.47 Tnfy =4200 Kg/cm2Mux=0est=3/8estriboMuy=5.6025b=3/4diametro asumido

Asx0.00entonces:Asx =0.00*Asy25/8+15/8asumimos una cuantia de: =150.00 %Asy21/2+05/8area de refuerzo = As = b*h* =18.00 cm20.40 m21/2+05/8As = 0.00*Asy + AsyAsy =18.00 cm225/8+15/8Asx=0.00 cm2Ast =16.943 cm20.30 m

Aplicacin de la formula de Bresler

Pno =282.34 Tn

Determinaiocion de Pnx =Rn =Carga resistente =

entrando a la grafica del SP-17 para refuerzo en2 caras, se tienePn =217.04 Tn = Kn =Pu =151.93 Tn = Kn =1.1Pu =48.92 TnO.K = Kn =

Pnx =0.00 Tn

Determinacion de Pny =0.0141Rn =0.106 =0.606

= 0.6Kn =0.86 = 0.606Kn =0.8612666667 = 0.7Kn =0.88

Pny =217.04 Tn

DISEO

DISEO PARA EL TERCER Y CUARTO PISODel predimensionamiento tenemos:b =0.30 mrec=4.00 cmh=0.40 mf'c =210 Kg/cm2Cargas:Pu =25.76 Tnfy =4200 Kg/cm2Mux=0est=3/8estriboMuy=4.505b=3/4diametro asumido

Asx0.00entonces:Asx =0.00*Asy25/8+01/2asumimos una cuantia de: =100.00 %Asy21/2+05/8area de refuerzo = As = b*h* =12.00 cm20.40 m21/2+05/8As = 0.00*Asy + AsyAsy =12.00 cm225/8+01/2Asx=0.00 cm2Ast =12.984 cm20.30 m

Aplicacin de la formula de Bresler

Pno =266.42 Tn

Determinaiocion de Pnx =0.0108Rn =Carga resistente =

entrando a la grafica del SP-17 para refuerzo en4 caras, se tienePn =199.24 Tn = Kn =Pu =139.47 Tn = Kn =1.1Pu =28.33 TnO.K = Kn =SOLO CON LA CUANTIA MINIMAPnx =0.00 Tn

Determinacion de Pny =0.0108Rn =0.085 =0.606

= 0.6Kn =0.79 = 0.606Kn =0.7906333333 = 0.7Kn =0.8

Pny =199.24 Tn

DISEO

DISEO PARA EL QUINTO PISO Y AZOTEADel predimensionamiento tenemos:b =0.30 mrec=4.00 cmh=0.40 mf'c =210 Kg/cm2Cargas:Pu =9.12 Tnfy =4200 Kg/cm2Mux=0est=3/8estriboMuy=2.85b=3/4diametro asumido

Asx0.00entonces:Asx =0.00*Asy25/8+01/2asumimos una cuantia de: =100.00 %Asy21/2+05/8area de refuerzo = As = b*h* =12.00 cm20.40 m21/2+05/8As = 0.00*Asy + AsyAsy =12.00 cm225/8+01/2Asx=0.00 cm2Ast =12.984 cm20.30 m

Aplicacin de la formula de Bresler

Pno =266.42 Tn

Determinaiocion de Pnx =0.0108Rn =Carga resistente =

entrando a la grafica del SP-17 para refuerzo en4 caras, se tienePn =226.16 Tn = Kn =Pu =158.31 Tn = Kn =1.1Pu =10.03 TnO.K = Kn =SOLO CON LA CUANTIA MINIMAPnx =0.00 Tn

Determinacion de Pny =0.0108Rn =0.054 =0.606

= 0.6Kn =0.9 = 0.606Kn =0.8974666667 = 0.7Kn =0.86

Pny =226.16 Tn

ESTRIBOSsegn norma E-060 y E.030-Zona de confinamientoHc =2.50 mLo = Hc/6 =0.42 mLo = t (col.)0.40 mLo =0.50 m

So = 8*db(menor)0.10 mSo = s/20.15 mSo =0.10 m

espaciamiento adoptadoSo =0.10 mlong. Adoptada (mayor)Lo =0.50 m(entero)

-Fuera de la zona de confinamiento S = 16 db (menor) 0.20 mS= 48 ds (estribo)0.46 mS = s0.30 m

espaciamiento adoptados =0.20 m

[email protected][email protected], rto @0.2A/S

&"-,Negrita"UNPRG - ING CIVIL&"-,Negrita"CONCRETO ARMADO II

&"-,Negrita"&"-,Negrita Cursiva"&UJUAN MANUEL CHERO DAMIAN

COLUMNA2CCOLUMNA 2-C

PISOCOMBINACIONPuxPuyMuxMuyPuexeyAZOTEA1.4D+1.7L1.25(D+L)+S1.25(D+L)-S0.9D+S0.9D-S5 PISO1.4D+1.7L7.20 Tn0.8677.20 Tn0.12 m1.25(D+L)+S6.37 Tn3.476.37 Tn0.48 m1.25(D+L)-S6.15 Tn2.9956.15 Tn0.42 m0.9D+S4.05 Tn3.1794.05 Tn0.44 m0.9D-S3.83 Tn2.7163.83 Tn0.38 m4 PISO1.4D+1.7L15.89 Tn0.74715.89 Tn0.047 m1.25(D+L)+S15.32 Tn5.377515.32 Tn0.338 m1.25(D+L)-S12.04 Tn5.07512.04 Tn0.319 m0.9D+S9.76 Tn5.19.76 Tn0.321 m0.9D-S6.48 Tn4.8016.48 Tn0.302 m3 PISO1.4D+1.7L24.81 Tn0.77524.81 Tn0.030 m1.25(D+L)+S26.03 Tn6.892526.03 Tn0.265 m1.25(D+L)-S16.55 Tn6.6716.55 Tn0.256 m0.9D+S17.16 Tn6.60817.16 Tn0.254 m0.9D-S7.68 Tn6.4127.68 Tn0.246 m2 PISO1.4D+1.7L33.95 Tn0.8233.95 Tn0.021 m1.25(D+L)+S38.18 Tn7.8838.18 Tn0.206 m1.25(D+L)-S20.00 Tn7.9620.00 Tn0.208 m0.9D+S25.93 Tn7.57625.93 Tn0.198 m0.9D-S7.75 Tn7.6797.75 Tn0.201 m1 PISO1.4D+1.7L43.62 Tn0.61543.62 Tn0.012 m1.25(D+L)+S51.42 Tn7.547551.42 Tn0.147 m1.25(D+L)-S23.28 Tn7.972523.28 Tn0.155 m0.9D+S35.60 Tn7.64335.60 Tn0.149 m0.9D-S7.46 Tn7.8777.46 Tn0.153 m DISEO

DISEO PARA EL PRIMER Y SEGUNDO PISODel predimensionamiento tenemos:b =0.30 mrec=4.00 cmh=0.40 mf'c =210 Kg/cm2Cargas:Pu =51.42 Tnfy =4200 Kg/cm2Mux=0est=3/8estriboMuy=7.9725b=3/4diametro asumido

Asx0.00entonces:Asx =0.00*Asy25/8+15/8asumimos una cuantia de: =150.00 %Asy21/2+05/8area de refuerzo = As = b*h* =18.00 cm20.40 m21/2+05/8As = 0.00*Asy + AsyAsy =18.00 cm225/8+15/8Asx=0.00 cm2Ast =16.943 cm20.30 m

Aplicacin de la formula de Bresler

Pno =282.34 Tn

Determinaiocion de Pnx =Rn =Carga resistente =

entrando a la grafica del SP-17 para refuerzo en2 caras, se tienePn =125.24 Tn = Kn =Pu =87.66 Tn = Kn =1.1Pu =56.56 TnO.K = Kn =

Pnx =0.00 Tn

Determinacion de Pny =0.0141Rn =0.151 =0.606

= 0.6Kn =0.49 = 0.606Kn =0.4969666667 = 0.7Kn =0.6

Pny =125.24 Tn

DISEO

DISEO PARA EL TERCER Y CUARTO PISODel predimensionamiento tenemos:b =0.30 mrec=4.00 cmh=0.40 mf'c =210 Kg/cm2Cargas:Pu =26.03 Tnfy =4200 Kg/cm2Mux=0est=3/8estriboMuy=6.8925b=3/4diametro asumido

Asx0.00entonces:Asx =0.00*Asy25/8+01/2asumimos una cuantia de: =100.00 %Asy21/2+05/8area de refuerzo = As = b*h* =12.00 cm20.40 m21/2+05/8As = 0.00*Asy + AsyAsy =12.00 cm225/8+01/2Asx=0.00 cm2Ast =12.984 cm20.30 m

Aplicacin de la formula de Bresler

Pno =266.42 Tn

Determinaiocion de Pnx =0.0108Rn =Carga resistente =

entrando a la grafica del SP-17 para refuerzo en4 caras, se tienePn =132.48 Tn = Kn =Pu =92.73 Tn = Kn =1.1Pu =28.63 TnO.K = Kn =SOLO CON LA CUANTIA MINIMAPnx =0.00 Tn

Determinacion de Pny =0.0108Rn =0.130 =0.606

= 0.6Kn =0.52 = 0.606Kn =0.5257 = 0.7Kn =0.61

Pny =132.48 Tn

DISEO

DISEO PARA EL QUINTO PISO Y AZOTEADel predimensionamiento tenemos:b =0.30 mrec=4.00 cmh=0.40 mf'c =210 Kg/cm2Cargas:Pu =7.20 Tnfy =4200 Kg/cm2Mux=0est=3/8estriboMuy=3.47b=3/4diametro asumido

Asx0.00entonces:Asx =0.00*Asy25/8+01/2asumimos una cuantia de: =100.00 %Asy21/2+05/8area de refuerzo = As = b*h* =12.00 cm20.40 m21/2+05/8As = 0.00*Asy + AsyAsy =12.00 cm225/8+01/2Asx=0.00 cm2Ast =12.984 cm20.30 m

Aplicacin de la formula de Bresler

Pno =266.42 Tn

Determinaiocion de Pnx =0.0108Rn =Carga resistente =

entrando a la grafica del SP-17 para refuerzo en4 caras, se tienePn =217.04 Tn = Kn =Pu =151.93 Tn = Kn =1.1Pu =7.92 TnO.K = Kn =SOLO CON LA CUANTIA MINIMAPnx =0.00 Tn

Determinacion de Pny =0.0108Rn =0.066 =0.606

= 0.6Kn =0.86 = 0.606Kn =0.8612666667 = 0.7Kn =0.88

Pny =217.04 Tn

ESTRIBOSsegn norma E-060 y E.030-Zona de confinamientoHc =2.50 mLo = Hc/6 =0.42 mLo = t (col.)0.40 mLo =0.50 m

So = 8*db(menor)0.10 mSo = s/20.15 mSo =0.10 m

espaciamiento adoptadoSo =0.10 mlong. Adoptada (mayor)Lo =0.50 m(entero)

-Fuera de la zona de confinamiento S = 16 db (menor) 0.20 mS= 48 ds (estribo)0.46 mS = s0.30 m

espaciamiento adoptados =0.20 m

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&"-,Negrita"UNPRG - ING CIVIL&"-,Negrita"CONCRETO ARMADO II

&"-,Negrita Cursiva"&UJUAN MANUEL CHERO DAMIAN

COLUMNA3ACOLUMNA 3-A'

PISOCOMBINACIONPuxPuyMuxMuyPuexeyAZOTEA1.4D+1.7L2.01 Tn0.8362.01 Tn0.39 m1.25(D+L)+S2.17 Tn2.25752.17 Tn1.04 m1.25(D+L)-S1.31 Tn2.0051.31 Tn0.93 m0.9D+S1.49 Tn2.1171.49 Tn0.98 m0.9D-S0.63 Tn1.730.63 Tn0.80 m5 PISO1.4D+1.7L5.93 Tn1.2935.93 Tn0.17 m1.25(D+L)+S7.62 Tn4.0157.62 Tn0.53 m1.25(D+L)-S2.74 Tn1.7652.74 Tn0.23 m0.9D+S5.78 Tn3.6015.78 Tn0.47 m0.9D-S0.90 Tn2.1790.90 Tn0.29 m4 PISO1.4D+1.7L10.49 Tn1.19510.49 Tn0.085 m1.25(D+L)+S14.13 Tn4.417514.13 Tn0.313 m1.25(D+L)-S4.15 Tn2.34254.15 Tn0.166 m0.9D+S10.80 Tn4.02810.80 Tn0.285 m0.9D-S0.82 Tn2.7320.82 Tn0.193 m3 PISO1.4D+1.7L14.97 Tn1.10814.97 Tn0.051 m1.25(D+L)+S21.63 Tn4.412521.63 Tn0.204 m1.25(D+L)-S4.43 Tn2.48754.43 Tn0.115 m0.9D+S16.84 Tn4.05316.84 Tn0.187 m0.9D-S-0.36 Tn2.847-0.36 Tn0.132 m2 PISO1.4D+1.7L19.33 Tn1.06619.33 Tn0.036 m1.25(D+L)+S29.70 Tn2.97529.70 Tn0.100 m1.25(D+L)-S3.92 Tn1.1253.92 Tn0.038 m0.9D+S23.49 Tn2.62623.49 Tn0.088 m0.9D-S-2.29 Tn1.474-2.29 Tn0.050 m1 PISO1.4D+1.7L23.44 Tn0.82223.44 Tn0.022 m1.25(D+L)+S37.30 Tn6.7437.30 Tn0.181 m1.25(D+L)-S3.46 Tn6.043.46 Tn0.162 m0.9D+S29.75 Tn6.60629.75 Tn0.177 m0.9D-S-4.10 Tn6.174-4.10 Tn0.166 m

DISEO

DISEO PARA EL PRIMER Y SEGUNDO PISODel predimensionamiento tenemos:b =0.30 mrec=4.00 cmh=0.40 mf'c =210 Kg/cm2Cargas:Pu =37.30 Tnfy =4200 Kg/cm2Mux=6.74est=3/8estriboMuy=0b=3/4diametro asumido

Asx0.00entonces:Asx =0.00*Asy21/2+15/8asumimos una cuantia de: =100.00 %Asy21/2+05/8area de refuerzo = As = b*h* =12.00 cm20.40 m01/2+05/8As = 0.00*Asy + AsyAsy =12.00 cm221/2+15/8Asx=0.00 cm2Ast =11.559 cm20.30 m

Aplicacin de la formula de Bresler

Pno =260.69 Tn

Determinaiocion de Pnx =0.010Rn =0.096Carga resistente =0.705

entrando a la grafica del SP-17 para refuerzo en4 caras, se tienePn =186.72 Tn = 0.7Kn =0.74Pu =130.70 Tn = 0.705Kn =0.740951.1Pu =41.02 TnO.K = 0.8Kn =0.76

Pnx =186.72 Tn

DISEO

DISEO PARA EL TERCER Y CUARTO PISODel predimensionamiento tenemos:b =0.30 mrec=4.00 cmh=0.40 mf'c =210 Kg/cm2Cargas:Pu =21.63 Tnfy =4200 Kg/cm2Mux=4.4175est=3/8estriboMuy=0b=3/4diametro asumido

Asx0.00entonces:Asx =0.00*Asy21/2+15/8asumimos una cuantia de: =100.00 %Asy21/2+05/8area de refuerzo = As = b*h* =12.00 cm20.40 m01/2+05/8As = 0.00*Asy + AsyAsy =12.00 cm221/2+15/8Asx=0.00 cm2Ast =11.559 cm20.30 m

Aplicacin de la formula de Bresler

Pno =260.69 Tn

Determinaiocion de Pnx =0.010Rn =0.063Carga resistente =0.705

entrando a la grafica del SP-17 para refuerzo en2 caras, se tienePn =221.64 Tn = 0.7Kn =0.88Pu =155.15 Tn = 0.705Kn =0.8795251.1Pu =23.79 TnO.K = 0.8Kn =0.87SOLO CON LA CUANTIA MINIMAPnx =221.64 Tn

DISEO

DISEO PARA EL QUINTO PISO Y AZOTEADel predimensionamiento tenemos:b =0.30 mrec=4.00 cmh=0.40 mf'c =210 Kg/cm2Cargas:Pu =7.62 Tnfy =4200 Kg/cm2Mux=4.015est=3/8estriboMuy=0b=3/4diametro asumido

Asx0.00entonces:Asx =0.00*Asy21/2+15/8asumimos una cuantia de: =100.00 %Asy21/2+05/8area de refuerzo = As = b*h* =12.00 cm20.40 m01/2+05/8As = 0.00*Asy + AsyAsy =12.00 cm221/2+15/8Asx=0.00 cm2Ast =11.559 cm20.30 m

Aplicacin de la formula de Bresler

Pno =260.69 Tn

Determinaiocion de Pnx =0.010Rn =0.057Carga resistente =0.705

entrando a la grafica del SP-17 para refuerzo en4 caras, se tienePn =224.16 Tn = 0.7Kn =0.89Pu =156.91 Tn = 0.705Kn =0.8895251.1Pu =8.38 TnO.K = 0.8Kn =0.88SOLO CON LA CUANTIA MINIMAPnx =224.16 Tn

ESTRIBOSsegn norma E-060 y E.030-Zona de confinamientoHc =2.50 mLo = Hc/6 =0.42 mLo = t (col.)0.40 mLo =0.50 m

So = 8*db(menor)0.10 mSo = s/20.15 mSo =0.10 m

espaciamiento adoptadoSo =0.10 mlong. Adoptada (mayor)Lo =0.50 m(entero)

-Fuera de la zona de confinamiento S = 16 db (menor) 0.20 mS= 48 ds (estribo)0.46 mS = s0.30 m

espaciamiento adoptados =0.20 m

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&"-,Negrita"UNPRG - ING CIVIL&"-,Negrita"CONCRETO ARMADO II

&"-,Negrita Cursiva"&UJUAN MANUEL CHERO DAMIAN

COLUMNA3BCOLUMNA 3-B

PISOCOMBINACIONPuxPuyMuxMuyPuexeyAZOTEA1.4D+1.7L1.86 Tn7.40 Tn0.6985.2849.27 Tn0.07 m0.51 m1.25(D+L)+S2.54 Tn7.74 Tn1.925.407510.28 Tn0.19 m0.53 m1.25(D+L)-S0.68 Tn5.04 Tn1.81258.44255.72 Tn0.18 m0.82 m0.9D+S1.92 Tn5.20 Tn1.7124.1127.12 Tn0.17 m0.40 m0.9D-S0.06 Tn2.50 Tn1.6056.6432.56 Tn0.16 m0.65 m5 PISO1.4D+1.7L8.08 Tn16.08 Tn0.8954.36624.17 Tn0.03 m0.16 m1.25(D+L)+S8.34 Tn18.32 Tn3.1158.087526.66 Tn0.12 m0.30 m1.25(D+L)-S5.76 Tn9.50 Tn1.5650.612515.26 Tn0.06 m0.02 m0.9D+S5.81 Tn12.92 Tn2.8176.50118.73 Tn0.11 m0.24 m0.9D-S3.23 Tn4.10 Tn1.8632.1997.33 Tn0.07 m0.08 m4 PISO1.4D+1.7L17.56 Tn27.24 Tn0.9344.77744.80 Tn0.02 m0.10 m1.25(D+L)+S17.35 Tn32.75 Tn4.682511.60550.09 Tn0.09 m0.23 m1.25(D+L)-S13.21 Tn14.13 Tn3.05753.45527.33 Tn0.06 m0.07 m0.9D+S11.72 Tn23.21 Tn4.3839.82534.92 Tn0.09 m0.20 m0.9D-S7.58 Tn4.59 Tn3.3575.23512.16 Tn0.07 m0.10 m3 PISO1.4D+1.7L27.18 Tn38.40 Tn0.8924.58365.58 Tn0.01 m0.06 m1.25(D+L)+S27.05 Tn48.69 Tn5.88513.762575.74 Tn0.08 m0.18 m1.25(D+L)-S20.21 Tn17.23 Tn4.3355.937537.44 Tn0.06 m0.08 m0.9D+S18.28 Tn35.01 Tn5.59612.06453.29 Tn0.07 m0.16 m0.9D-S11.44 Tn3.55 Tn4.6247.63614.99 Tn0.06 m0.10 m2 PISO1.4D+1.7L37.00 Tn49.55 Tn0.9935.25786.54 Tn0.010 m0.051 m1.25(D+L)+S37.32 Tn65.58 Tn7.122516.5075102.90 Tn0.069 m0.160 m1.25(D+L)-S26.98 Tn19.38 Tn5.39757.532546.36 Tn0.052 m0.073 m0.9D+S25.35 Tn47.76 Tn6.814.55873.11 Tn0.066 m0.141 m0.9D-S15.01 Tn1.56 Tn5.729.48216.57 Tn0.056 m0.092 m1 PISO1.4D+1.7L47.21 Tn60.71 Tn0.7633.867107.92 Tn0.006 m0.030 m1.25(D+L)+S47.92 Tn82.02 Tn7.462518.185129.94 Tn0.057 m0.140 m1.25(D+L)-S34.10 Tn21.98 Tn6.837514.93556.08 Tn0.053 m0.115 m0.9D+S32.61 Tn60.06 Tn7.34817.47892.68 Tn0.057 m0.135 m0.9D-S18.79 Tn0.02 Tn6.95215.64218.82 Tn0.054 m0.120 m

DISEO

DISEO PARA EL PRIMER Y SEGUNDO PISODel predimensionamiento tenemos:b =0.40 mrec=4.00 cmh=0.60 mf'c =210 Kg/cm2Cargas:Pu =129.94 Tnfy =4200 Kg/cm2Mux=7.4625est=3/8estriboMuy=18.185b=3/4diametro asumido

Asx0.41entonces:Asx =0.41*Asy23/4+15/8asumimos una cuantia de: =150.00 %Asy25/8+05/8area de refuerzo = As = b*h* =36.00 cm20.60 m25/8+05/8As = 0.41*Asy + AsyAsy =25.53 cm223/4+15/8Asx=10.47 cm2Ast =23.277 cm20.40 m

Aplicacin de la formula de Bresler

Pno =522.01 Tn

Determinaiocion de Pnx =0.010Rn =0.035Carga resistente =0.803

entrando a la grafica del SP-17 para refuerzo en4 caras, se tienePn =275.26 Tn = 0.8Kn =0.95Pu =192.68 Tn = 0.803Kn =0.95031666671.1Pu =142.94 TnO.K = 0.9Kn =0.96

Pnx =478.96 TnSE TUVO QUE AUMENTAR LA SECCION ORIGINAL

Determinacion de Pny =0.010Rn =0.129 =0.705

= 0.7Kn =0.57 = 0.705Kn =0.573325 = 0.8Kn =0.64

Pny =288.96 Tn

DISEO

DISEO PARA EL TERCER Y CUARTO PISODel predimensionamiento tenemos:b =0.40 mrec=4.00 cmh=0.60 mf'c =210 Kg/cm2Cargas:Pu =75.74 Tnfy =4200 Kg/cm2Mux=5.885est=3/8estriboMuy=13.7625b=3/4diametro asumido

Asx0.43entonces:Asx =0.43*Asy25/8+21/2asumimos una cuantia de: =100.00 %Asy25/8+05/8area de refuerzo = As = b*h* =24.00 cm20.60 m25/8+05/8As = 0.43*Asy + AsyAsy =16.81 cm225/8+21/2Asx=7.19 cm2Ast =20.902 cm20.40 m

Aplicacin de la formula de Bresler

Pno =512.46 Tn

Determinaiocion de Pnx =0.01Rn =0.028Carga resistente =0.803

entrando a la grafica del SP-17 para refuerzo en4 caras, se tienePn =358.40 Tn = 0.8Kn =0.96Pu =250.88 Tn = 0.803Kn =0.96063333331.1Pu =83.31 TnO.K = 0.9Kn =0.98SOLO CON LA CUANTIA MINIMAPnx =484.16 Tn

Determinacion de Pny =0.01Rn =0.098 =0.705

= 0.7Kn =0.74 = 0.705Kn =0.741425 = 0.8Kn =0.77

Pny =373.68 Tn

DISEO

DISEO PARA EL QUINTO PISO Y AZOTEADel predimensionamiento tenemos:b =0.40 mrec=4.00 cmh=0.60 mf'c =210 Kg/cm2Cargas:Pu =26.66 Tnfy =4200 Kg/cm2Mux=3.115est=3/8estriboMuy=8.4425b=3/4diametro asumido

Asx0.37entonces:Asx =0.37*Asy25/8+21/2asumimos una cuantia de: =100.00 %Asy25/8+05/8area de refuerzo = As = b*h* =24.00 cm20.60 m25/8+05/8As = 0.37*Asy + AsyAsy =17.53 cm225/8+21/2Asx=6.47 cm2Ast =20.902 cm20.40 m

Aplicacin de la formula de Bresler

Pno =512.46 Tn

Determinaiocion de Pnx =0.009Rn =0.015Carga resistente =0.803

entrando a la grafica del SP-17 para refuerzo en4 caras, se tienePn =370.56 Tn = 0.8Kn =0.94Pu =259.39 Tn = 0.803Kn =0.94063333331.1Pu =29.33 TnO.K = 0.9Kn =0.96SOLO CON LA CUANTIA MINIMAPnx =474.08 Tn

Determinacion de Pny =0.009Rn =0.060 =0.705

= 0.7Kn =0.78 = 0.705Kn =0.78095 = 0.8Kn =0.8

Pny =393.60 Tn

ESTRIBOSsegn norma E-060 y E.030-Zona de confinamientoHc =2.50 mLo = Hc/6 =0.42 mLo = t (col.)0.60 mLo =0.50 m

So = 8*db(menor)0.13 mSo = s/20.20 mSo =0.10 m

espaciamiento adoptadoSo =0.10 mlong. Adoptada (mayor)Lo =0.60 m(entero)

-Fuera de la zona de confinamiento S = 16 db (menor) 0.25 mS= 48 ds (estribo)0.46 mS = s0.40 m

espaciamiento adoptados =0.25 m

[email protected][email protected], rto @0.25A/S

&"-,Negrita"UNPRG - ING CIVIL&"-,Negrita"CONCRETO ARMADO II

&"-,Negrita Cursiva"&UJUAN MANUEL CHERO DAMIAN

COLUMNA3CCOLUMNA 3-C

PISOCOMBINACIONPuxPuyMuxMuyPuexeyAZOTEA1.4D+1.7L1.25(D+L)+S1.25(D+L)-S0.9D+S0.9D-S5 PISO1.4D+1.7L3.40 Tn2.40 Tn2.390.7555.80 Tn0.33 m0.10 m1.25(D+L)+S4.10 Tn3.21 Tn4.4452.6557.31 Tn0.61 m0.36 m1.25(D+L)-S1.80 Tn0.95 Tn2.9453.8052.75 Tn0.40 m0.52 m0.9D+S3.00 Tn2.39 Tn3.6662.8975.39 Tn0.50 m0.40 m0.9D-S0.70 Tn0.13 Tn2.2263.5630.83 Tn0.30 m0.49 m4 PISO1.4D+1.7L9.62 Tn5.76 Tn2.1740.62915.38 Tn0.10 m0.03 m1.25(D+L)+S11.27 Tn9.73 Tn4.5953.782521.00 Tn0.22 m0.18 m1.25(D+L)-S5.43 Tn0.17 Tn3.64754.75755.60 Tn0.17 m0.23 m0.9D+S8.14 Tn7.69 Tn3.893.99115.83 Tn0.19 m0.19 m0.9D-S2.30 Tn-1.87 Tn2.9394.5490.43 Tn0.14 m0.22 m3 PISO1.4D+1.7L15.79 Tn8.98 Tn2.0870.59824.77 Tn0.056 m0.016 m1.25(D+L)+S18.89 Tn18.49 Tn4.84254.487537.38 Tn0.130 m0.120 m1.25(D+L)-S8.53 Tn-3.09 Tn4.28255.41255.44 Tn0.115 m0.145 m0.9D+S13.75 Tn15.26 Tn4.1644.6829.01 Tn0.111 m0.125 m0.9D-S3.39 Tn-6.32 Tn3.6045.22-2.93 Tn0.096 m0.140 m2 PISO1.4D+1.7L21.90 Tn12.07 Tn2.1740.54233.97 Tn0.039 m0.010 m1.25(D+L)+S26.73 Tn28.91 Tn4.674.472555.64 Tn0.084 m0.080 m1.25(D+L)-S11.29 Tn-8.23 Tn3.595.073.06 Tn0.065 m0.091 m0.9D+S19.59 Tn24.55 Tn4.0094.52244.14 Tn0.072 m0.081 m0.9D-S4.15 Tn-12.59 Tn3.344.918-8.44 Tn0.060 m0.088 m1 PISO1.4D+1.7L27.86 Tn14.79 Tn1.5990.33742.65 Tn0.022 m0.005 m1.25(D+L)+S34.20 Tn39.62 Tn5.50756.8673.82 Tn0.075 m0.093 m1.25(D+L)-S14.18 Tn-14.30 Tn6.83257.06-0.12 Tn0.093 m0.096 m0.9D+S25.11 Tn34.26 Tn5.7566.90659.37 Tn0.078 m0.094 m0.9D-S5.09 Tn-19.66 Tn6.5847.014-14.57 Tn0.089 m0.095 m

DISEO

DISEO PARA EL PRIMER Y SEGUNDO PISODel predimensionamiento tenemos:b =0.30 mrec=4.00 cmh=0.50 mf'c =210 Kg/cm2Cargas:Pu =73.82 Tnfy =4200 Kg/cm2Mux=6.8325est=3/8estriboMuy=7.06b=3/4diametro asumido

Asx0.97entonces:Asx =0.97*Asy23/4+15/8asumimos una cuantia de: =150.00 %Asy25/8+05/8area de refuerzo = As = b*h* =22.50 cm20.50 m25/8+05/8As = 0.97*Asy + AsyAsy =11.43 cm223/4+15/8Asx=11.07 cm2Ast =23.277 cm20.30 m

Aplicacin de la formula de Bresler

Pno =361.36 Tn

Determinaiocion de Pnx =0.016Rn =0.062Carga resistente =0.764

entrando a la grafica del SP-17 para refuerzo en4 caras, se tienePn =229.58 Tn = 0.7Kn =0.96Pu =160.71 Tn = 0.764Kn =0.972761.1Pu =81.20 TnO.K = 0.8Kn =0.98

Pnx =306.42 TnSE TUVO QUE AUMENTAR LA SECCION ORIGINAL

Determinacion de Pny =0.016Rn =0.107 =0.606

= 0.6Kn =0.82 = 0.606Kn =0.8225333333 = 0.7Kn =0.86

Pny =259.10 Tn

DISEO

DISEO PARA EL TERCER Y CUARTO PISODel predimensionamiento tenemos:b =0.30 mrec=4.00 cmh=0.50 mf'c =210 Kg/cm2Cargas:Pu =37.38 Tnfy =4200 Kg/cm2Mux=4.8425est=3/8estriboMuy=5.4125b=3/4diametro asumido

Asx0.89entonces:Asx =0.89*Asy25/8+11/2asumimos una cuantia de: =100.00 %Asy21/2+05/8area de refuerzo = As = b*h* =15.00 cm20.50 m21/2+05/8As = 0.89*Asy + AsyAsy =7.92 cm225/8+11/2Asx=7.08 cm2Ast =15.518 cm20.30 m

Aplicacin de la formula de Bresler

Pno =330.16 Tn

Determinaiocion de Pnx =0.01Rn =0.044Carga resistente =0.764

entrando a la grafica del SP-17 para refuerzo en4 caras, se tienePn =240.06 Tn = 0.7Kn =0.96Pu =168.04 Tn = 0.764Kn =0.953621.1Pu =41.12 TnO.K = 0.8Kn =0.95SOLO CON LA CUANTIA MINIMAPnx =300.39 Tn

Determinacion de Pny =0.01Rn =0.082 =0.606

= 0.6Kn =0.82 = 0.606Kn =0.8212666667 = 0.7Kn =0.84

Pny =258.70 Tn

DISEO

DISEO PARA EL QUINTO PISO Y AZOTEADel predimensionamiento tenemos:b =0.30 mrec=4.00 cmh=0.50 mf'c =210 Kg/cm2Cargas:Pu =7.31 Tnfy =4200 Kg/cm2Mux=4.445est=3/8estriboMuy=3.805b=3/4diametro asumido

Asx1.17entonces:Asx =1.17*Asy25/8+11/2asumimos una cuantia de: =100.00 %Asy21/2+05/8area de refuerzo = As = b*h* =15.00 cm20.50 m21/2+05/8As = 1.17*Asy + AsyAsy =6.92 cm225/8+11/2Asx=8.08 cm2Ast =15.518 cm20.30 m

Aplicacin de la formula de Bresler

Pno =330.16 Tn

Determinaiocion de Pnx =0.010Rn =0.040Carga resistente =0.764

entrando a la grafica del SP-17 para refuerzo en4 caras, se tienePn =250.70 Tn = 0.7Kn =0.96Pu =175.49 Tn = 0.764Kn =0.953621.1Pu =8.04 TnO.K = 0.8Kn =0.95SOLO CON LA CUANTIA MINIMAPnx =300.39 Tn

Determinacion de Pny =0.010Rn =0.058 =0.606

= 0.6Kn =0.86 = 0.606Kn =0.8606333333 = 0.7Kn =0.87

Pny =271.10 Tn

ESTRIBOSsegn norma E-060 y E.030-Zona de confinamientoHc =2.50 mLo = Hc/6 =0.42 mLo = t (col.)0.50 mLo =0.50 m

So = 8*db(menor)0.13 mSo = s/20.15 mSo =0.10 m

espaciamiento adoptadoSo =0.10 mlong. Adoptada (mayor)Lo =0.50 m(entero)

-Fuera de la zona de confinamiento S = 16 db (menor) 0.25 mS= 48 ds (estribo)0.46 mS = s0.30 m

espaciamiento adoptados =0.25 m

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