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METODO DIRECTO
ESQUEMA DE ESTRUCTURACION EN PLANTA
COLUMNAS DE .60 X .60 M
LOSA DE H=0.25 M
ESQUEMA DE DISTRIBUCIÓN EN PLANTA DE LAS FRANJAS DE
COLUMNA Y FRANJA CENTRAL
Metodo directo
ESQUEMA DE DISTRIBUCIÓN DE LAS RIGIDECES RELATIVAS
VIGAS-LOSA (ALFA)
CORTE AL EJE 1, EJE 4
INERCIA DE LA VIGA
N° Yi Ai YiAi Ai(Ῡ-Y)2 Ig
1 0.6500 0.1700 0.1105 0.0031 0.0011
2 0.2750 0.1650 0.0454 0.0060 0.0042
0.3350 0.1724 0.0118 0.0053
Ῡ= 0.4653 m
Iv= 0.0170 m
4
INERCIA DE LA LOSA
b= 4 m
h= 0.2 m
IL= 0.0027 m4
αfm= 6.390
CORTE AL EJE 2, EJE 3
INERCIA DE LA VIGA
N° Yi Ai YiAi Ai(Ῡ-Y)2 Ig
1 0.6500 0.2800 0.1820 0.0054 0.0018
2 0.2750 0.1650 0.0454 0.0092 0.0042
0.4450 0.2274 0.0146 0.0060
Ῡ= 0.5110 m
Iv= 0.0206 m
4
INERCIA DE LA LOSA
b= 8 m
h= 0.2 m
IL= 0.0053 m4
αfm= 3.859
CORTE AL EJE A, EJE E
INERCIA DE LA VIGA
N° Yi Ai YiAi Ai(Ῡ-Y)2 Ig
1 0.6500 0.1700 0.1105 0.0058 0.0011
2 0.2750 0.1650 0.0454 0.0060 0.0042
0.3350 0.1559 0.0118 0.0053
Ῡ= 0.4653 m
Iv= 0.0170 m
4
INERCIA DE LA LOSA
b= 4.25 m
h= 0.2 m
IL= 0.0028 m4
αfm= 6.014
CORTE AL EJE B,EJE C,EJE D
INERCIA DE LA VIGA
N° Yi Ai YiAi Ai(Ῡ-Y)2 Ig
1 0.6500 0.2800 0.1820 0.0054 0.0018
2 0.2750 0.1650 0.0454 0.0092 0.0042
0.4450 0.2274 0.0146 0.0060
Ῡ= 0.5110 m
Iv= 0.0206 m
4
INERCIA DE LA LOSA
b= 8.5 m
h= 0.2 m
IL= 0.0057 m4
αfm= 3.632
Tomamos el caso mas critico , que seria el paño externo ya que existe mayor deformacion yhallamos h
ln= 8.5 m
fy= 4200 kg/cm2
B= 1.0625
αfm= 6.390
SI 0.2<αfm<2.0 h= 0.140
SI 2.0<αfm h= 0.205
Tomamos h= 20 cm
Relacion de rigidez relativa de las vigas en las dos direcciones
DIRECCION X DIRECCION Y
αf1 4.823 αf1 5.125
αf2 5.125 αf2 4.823
L1 8 L1 8.5
L2 8.5 L2 8
1.327 0.754
Ambos son mayores 0.2 ymenores a 5.0
Metodo directo
ESQUEMA EN PLANTA DE LOS MOMENTOS DE DISEÑO EN AMBAS
DIRECCIONES
RELACION DE RIGIDEZ TORSIONAL VIGA DE BORDE Y FLEXION
DE LOSA
i Xi Yi X/Y X3
Y/3 Ci
1 0.2 0.85 0.235 0.002 0.002
2 0.3 0.55 0.545 0.005 0.003
0.005
i Xi Yi X/Y X3
Y/3 Ci
1 0.2 0.55 0.364 0.001 0.00113
2 0.3 0.75 0.400 0.007 0.00505
0.00618
MAYOR
h l IL C Bt
EJE A Y E 0.200 4.250 0.0028 0.00618 1.091
EJE B,C Y D 0.200 8.500 0.0057 0.00618 0.545
EJE 1 Y 4 0.200 4.000 0.0027 0.00618 1.159
EJE 1 Y 6 0.200 8.000 0.0053 0.00618 0.579
MOMENTOS TOTALES
Wu Ln L2 Mo 0.16 0.57 0.7 0.65 0.35 0.65 0.7 0.57 0.16
EJE A,E 1.577 7.40 4.25 45.877 7.340 26.150 32.114 29.820 16.057 29.820 32.114 26.150 7.340
0.16 0.57 0.7 0.65 0.35 0.65 0.7 0.57 0.16
EJE B,C,D 1.577 7.40 8.50 91.754 14.681 52.300 64.228 59.640 32.114 59.640 64.228 52.300 14.681
0.16 0.57 0.7 0.65 0.35 0.65 0.65 0.35 0.65 0.7 0.57 0.16
EJE 1 Y 4 1.577 7.90 4.00 49.210 7.874 28.050 34.447 31.987 17.224 31.987 31.987 17.224 31.987 34.447 28.050 7.874
0.16 0.57 0.7 0.65 0.35 0.65 0.65 0.35 0.65 0.7 0.57 0.16
EJE 2 Y 3 1.577 7.90 8.00 98.421 15.747 56.100 68.894 63.973 34.447 63.973 63.973 34.447 63.973 68.894 56.100 15.747
MOMENTOS EN FRANJA DE COLUMNA
L2/L1 0.5 1 2 L2/L1 0.5 1 2
αf1(L2/L1)=0 0.75 0.75 0.75 αf1(L2/L1)=0 0.6 0.6 0.6
αf1(L2/L1)≥1 0.9 0.75 0.45 αf1(L2/L1)≥1 0.9 0.75 0.45
L1 L2 αf1 αf1(L2/L1) (L2/L1) Bt 0.883 0.731 0.731 0.731 0.731 0.731 0.731 0.731 0.883
EJE A,E 8.00 8.50 6.01 6.390 1.063 1.091 6.480 19.122 23.483 21.806 11.742 21.806 23.483 19.122 6.480
0.941 0.731 0.731 0.731 0.731 0.731 0.731 0.731 0.941
EJE B,C,D 8.00 8.50 3.63 3.859 1.063 0.545 13.820 38.244 46.966 43.612 23.483 43.612 46.966 38.244 13.820
0.892 0.768 0.768 0.768 0.768 0.768 0.768 0.768 0.768 0.768 0.768 0.892
EJE 1 Y 4 8.50 8.00 6.39 6.014 0.941 1.159 7.026 21.532 26.443 24.554 13.222 24.554 24.554 13.222 24.554 26.443 21.532 7.026
0.946 0.768 0.768 0.768 0.768 0.768 0.768 0.768 0.768 0.768 0.768 0.946
EJE 2 Y 3 8.50 8.00 3.86 3.632 0.941 0.579 14.899 43.065 52.887 49.109 26.443 49.109 49.109 26.443 49.109 52.887 43.065 14.899
MOMENTOS EN FRANJA DE CENTRAL
0.117 0.269 0.269 0.269 0.269 0.269 0.269 0.269 0.117
EJE A,E 0.861 7.028 8.631 8.014 4.315 8.014 8.631 7.028 0.861
0.059 0.269 0.269 0.269 0.269 0.269 0.269 0.269 0.059
EJE B,C,D 0.861 14.056 17.261 16.028 8.631 16.028 17.261 14.056 0.861
0.108 0.232 0.232 0.232 0.232 0.232 0.232 0.232 0.232 0.232 0.232 0.108
EJE 1 Y 4 0.848 6.517 8.004 7.432 4.002 7.432 7.432 4.002 7.432 8.004 6.517 0.848
0.054 0.232 0.232 0.232 0.232 0.232 0.232 0.232 0.232 0.232 0.232 0.054
EJE 2 Y 3 0.848 13.035 16.008 14.864 8.004 14.864 14.864 8.004 14.864 16.008 13.035 0.848
MOMENTOS EN FRANJA DE COLUMNA - VIGA
SI αf1(L2/L1)>1 los momentos en la viga contenida son el 85% de la franja columna
SI αf1(L2/L1)<1 los momentos en la viga contenida seran interpolaron entre 85% y 0% de la franja columna
L1 L2 αf1 αf1(L2/L1) 0.85 0.85 0.85 0.85 0.85 0.85 0.85 0.85 0.85
EJE A,E 8.00 4.25 6.01 3.195 5.508 16.254 19.961 18.535 9.980 18.535 19.961 16.254 5.508
0.85 0.85 0.85 0.85 0.85 0.85 0.85 0.85 0.85
EJE B,C,D 8.00 8.50 3.63 3.859 11.747 32.508 39.922 37.070 19.961 37.070 39.922 32.508 11.747
0.85 0.85 0.85 0.85 0.85 0.85 0.85 0.85 0.85 0.85 0.85 0.85
EJE 1 Y 4 8.50 4.00 6.39 3.007 5.972 18.303 22.477 20.871 11.238 20.871 20.871 11.238 20.871 22.477 18.303 5.972
0.85 0.85 0.85 0.85 0.85 0.85 0.85 0.85 0.85 0.85 0.85 0.85
EJE 2 Y 3 8.50 8.00 3.86 3.632 12.664 36.605 44.954 41.743 22.477 41.743 41.743 22.477 41.743 44.954 36.605 12.664
MOMENTOS EN FRANJA DE COLUMNA - LOSA
0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15
EJE A,E 0.972 2.868 3.522 3.271 1.761 3.271 3.522 2.868 0.972
0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15
EJE B,C,D 2.073 5.737 7.045 6.542 3.522 6.542 7.045 5.737 2.073
0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15
EJE 1 Y 4 1.054 3.230 3.966 3.683 1.983 3.683 3.683 1.983 3.683 3.966 3.230 1.054
0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15
EJE 2 Y 3 2.235 6.460 7.933 7.366 3.966 7.366 7.366 3.966 7.366 7.933 6.460 2.235
Sentido X
SENTIDO Y
SENTIDO X (POR METRO CUADRADO)
SENTIDO Y (POR METRO CUADRADO)
SECCIONDES DE LOS EJES
ESQUEMA DE ÁREAS DE ACERO
Metodo directo
Metodo directo
ESQUEMA DE LA DISTRIBUCIÓN DE LOS ACEROS

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Metodo directo

  • 1. METODO DIRECTO ESQUEMA DE ESTRUCTURACION EN PLANTA COLUMNAS DE .60 X .60 M LOSA DE H=0.25 M
  • 2. ESQUEMA DE DISTRIBUCIÓN EN PLANTA DE LAS FRANJAS DE COLUMNA Y FRANJA CENTRAL
  • 4. ESQUEMA DE DISTRIBUCIÓN DE LAS RIGIDECES RELATIVAS VIGAS-LOSA (ALFA) CORTE AL EJE 1, EJE 4 INERCIA DE LA VIGA N° Yi Ai YiAi Ai(Ῡ-Y)2 Ig 1 0.6500 0.1700 0.1105 0.0031 0.0011 2 0.2750 0.1650 0.0454 0.0060 0.0042 0.3350 0.1724 0.0118 0.0053 Ῡ= 0.4653 m Iv= 0.0170 m 4 INERCIA DE LA LOSA b= 4 m h= 0.2 m IL= 0.0027 m4 αfm= 6.390 CORTE AL EJE 2, EJE 3 INERCIA DE LA VIGA N° Yi Ai YiAi Ai(Ῡ-Y)2 Ig 1 0.6500 0.2800 0.1820 0.0054 0.0018 2 0.2750 0.1650 0.0454 0.0092 0.0042 0.4450 0.2274 0.0146 0.0060 Ῡ= 0.5110 m Iv= 0.0206 m 4 INERCIA DE LA LOSA b= 8 m h= 0.2 m IL= 0.0053 m4 αfm= 3.859
  • 5. CORTE AL EJE A, EJE E INERCIA DE LA VIGA N° Yi Ai YiAi Ai(Ῡ-Y)2 Ig 1 0.6500 0.1700 0.1105 0.0058 0.0011 2 0.2750 0.1650 0.0454 0.0060 0.0042 0.3350 0.1559 0.0118 0.0053 Ῡ= 0.4653 m Iv= 0.0170 m 4 INERCIA DE LA LOSA b= 4.25 m h= 0.2 m IL= 0.0028 m4 αfm= 6.014 CORTE AL EJE B,EJE C,EJE D INERCIA DE LA VIGA N° Yi Ai YiAi Ai(Ῡ-Y)2 Ig 1 0.6500 0.2800 0.1820 0.0054 0.0018 2 0.2750 0.1650 0.0454 0.0092 0.0042 0.4450 0.2274 0.0146 0.0060 Ῡ= 0.5110 m Iv= 0.0206 m 4 INERCIA DE LA LOSA b= 8.5 m h= 0.2 m IL= 0.0057 m4 αfm= 3.632
  • 6. Tomamos el caso mas critico , que seria el paño externo ya que existe mayor deformacion yhallamos h ln= 8.5 m fy= 4200 kg/cm2 B= 1.0625 αfm= 6.390 SI 0.2<αfm<2.0 h= 0.140 SI 2.0<αfm h= 0.205 Tomamos h= 20 cm Relacion de rigidez relativa de las vigas en las dos direcciones DIRECCION X DIRECCION Y αf1 4.823 αf1 5.125 αf2 5.125 αf2 4.823 L1 8 L1 8.5 L2 8.5 L2 8 1.327 0.754 Ambos son mayores 0.2 ymenores a 5.0
  • 8. ESQUEMA EN PLANTA DE LOS MOMENTOS DE DISEÑO EN AMBAS DIRECCIONES RELACION DE RIGIDEZ TORSIONAL VIGA DE BORDE Y FLEXION DE LOSA i Xi Yi X/Y X3 Y/3 Ci 1 0.2 0.85 0.235 0.002 0.002 2 0.3 0.55 0.545 0.005 0.003 0.005 i Xi Yi X/Y X3 Y/3 Ci 1 0.2 0.55 0.364 0.001 0.00113 2 0.3 0.75 0.400 0.007 0.00505 0.00618 MAYOR h l IL C Bt EJE A Y E 0.200 4.250 0.0028 0.00618 1.091 EJE B,C Y D 0.200 8.500 0.0057 0.00618 0.545 EJE 1 Y 4 0.200 4.000 0.0027 0.00618 1.159 EJE 1 Y 6 0.200 8.000 0.0053 0.00618 0.579
  • 9. MOMENTOS TOTALES Wu Ln L2 Mo 0.16 0.57 0.7 0.65 0.35 0.65 0.7 0.57 0.16 EJE A,E 1.577 7.40 4.25 45.877 7.340 26.150 32.114 29.820 16.057 29.820 32.114 26.150 7.340 0.16 0.57 0.7 0.65 0.35 0.65 0.7 0.57 0.16 EJE B,C,D 1.577 7.40 8.50 91.754 14.681 52.300 64.228 59.640 32.114 59.640 64.228 52.300 14.681 0.16 0.57 0.7 0.65 0.35 0.65 0.65 0.35 0.65 0.7 0.57 0.16 EJE 1 Y 4 1.577 7.90 4.00 49.210 7.874 28.050 34.447 31.987 17.224 31.987 31.987 17.224 31.987 34.447 28.050 7.874 0.16 0.57 0.7 0.65 0.35 0.65 0.65 0.35 0.65 0.7 0.57 0.16 EJE 2 Y 3 1.577 7.90 8.00 98.421 15.747 56.100 68.894 63.973 34.447 63.973 63.973 34.447 63.973 68.894 56.100 15.747 MOMENTOS EN FRANJA DE COLUMNA L2/L1 0.5 1 2 L2/L1 0.5 1 2 αf1(L2/L1)=0 0.75 0.75 0.75 αf1(L2/L1)=0 0.6 0.6 0.6 αf1(L2/L1)≥1 0.9 0.75 0.45 αf1(L2/L1)≥1 0.9 0.75 0.45 L1 L2 αf1 αf1(L2/L1) (L2/L1) Bt 0.883 0.731 0.731 0.731 0.731 0.731 0.731 0.731 0.883 EJE A,E 8.00 8.50 6.01 6.390 1.063 1.091 6.480 19.122 23.483 21.806 11.742 21.806 23.483 19.122 6.480 0.941 0.731 0.731 0.731 0.731 0.731 0.731 0.731 0.941 EJE B,C,D 8.00 8.50 3.63 3.859 1.063 0.545 13.820 38.244 46.966 43.612 23.483 43.612 46.966 38.244 13.820 0.892 0.768 0.768 0.768 0.768 0.768 0.768 0.768 0.768 0.768 0.768 0.892 EJE 1 Y 4 8.50 8.00 6.39 6.014 0.941 1.159 7.026 21.532 26.443 24.554 13.222 24.554 24.554 13.222 24.554 26.443 21.532 7.026 0.946 0.768 0.768 0.768 0.768 0.768 0.768 0.768 0.768 0.768 0.768 0.946 EJE 2 Y 3 8.50 8.00 3.86 3.632 0.941 0.579 14.899 43.065 52.887 49.109 26.443 49.109 49.109 26.443 49.109 52.887 43.065 14.899 MOMENTOS EN FRANJA DE CENTRAL 0.117 0.269 0.269 0.269 0.269 0.269 0.269 0.269 0.117 EJE A,E 0.861 7.028 8.631 8.014 4.315 8.014 8.631 7.028 0.861 0.059 0.269 0.269 0.269 0.269 0.269 0.269 0.269 0.059 EJE B,C,D 0.861 14.056 17.261 16.028 8.631 16.028 17.261 14.056 0.861 0.108 0.232 0.232 0.232 0.232 0.232 0.232 0.232 0.232 0.232 0.232 0.108 EJE 1 Y 4 0.848 6.517 8.004 7.432 4.002 7.432 7.432 4.002 7.432 8.004 6.517 0.848 0.054 0.232 0.232 0.232 0.232 0.232 0.232 0.232 0.232 0.232 0.232 0.054 EJE 2 Y 3 0.848 13.035 16.008 14.864 8.004 14.864 14.864 8.004 14.864 16.008 13.035 0.848
  • 10. MOMENTOS EN FRANJA DE COLUMNA - VIGA SI αf1(L2/L1)>1 los momentos en la viga contenida son el 85% de la franja columna SI αf1(L2/L1)<1 los momentos en la viga contenida seran interpolaron entre 85% y 0% de la franja columna L1 L2 αf1 αf1(L2/L1) 0.85 0.85 0.85 0.85 0.85 0.85 0.85 0.85 0.85 EJE A,E 8.00 4.25 6.01 3.195 5.508 16.254 19.961 18.535 9.980 18.535 19.961 16.254 5.508 0.85 0.85 0.85 0.85 0.85 0.85 0.85 0.85 0.85 EJE B,C,D 8.00 8.50 3.63 3.859 11.747 32.508 39.922 37.070 19.961 37.070 39.922 32.508 11.747 0.85 0.85 0.85 0.85 0.85 0.85 0.85 0.85 0.85 0.85 0.85 0.85 EJE 1 Y 4 8.50 4.00 6.39 3.007 5.972 18.303 22.477 20.871 11.238 20.871 20.871 11.238 20.871 22.477 18.303 5.972 0.85 0.85 0.85 0.85 0.85 0.85 0.85 0.85 0.85 0.85 0.85 0.85 EJE 2 Y 3 8.50 8.00 3.86 3.632 12.664 36.605 44.954 41.743 22.477 41.743 41.743 22.477 41.743 44.954 36.605 12.664 MOMENTOS EN FRANJA DE COLUMNA - LOSA 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 EJE A,E 0.972 2.868 3.522 3.271 1.761 3.271 3.522 2.868 0.972 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 EJE B,C,D 2.073 5.737 7.045 6.542 3.522 6.542 7.045 5.737 2.073 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 EJE 1 Y 4 1.054 3.230 3.966 3.683 1.983 3.683 3.683 1.983 3.683 3.966 3.230 1.054 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 EJE 2 Y 3 2.235 6.460 7.933 7.366 3.966 7.366 7.366 3.966 7.366 7.933 6.460 2.235
  • 13. SENTIDO X (POR METRO CUADRADO)
  • 14. SENTIDO Y (POR METRO CUADRADO)
  • 16. ESQUEMA DE ÁREAS DE ACERO
  • 19. ESQUEMA DE LA DISTRIBUCIÓN DE LOS ACEROS