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Diagrama de interaccion para columnas rectangulares

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PATRICIA A. COSSI A.
PATRICIA A. COSSI A.
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DIAGRAMA DE INTERACCION D COLUMNAS DE SECCION RECTANG GEOMETRIA DE LA SECCION Longitud en direccion X (m) 0.50 SECCION Longitud en direccion Y (m) 0.50 0.55 0.5 REFUERZO DE LA SECCION 0.45 # Varillas en direcion X 4 0.4 # Varillas en direcion Y 4 Recubrimiento (m) 0.04 0.35 Diametro del Refuerzo (pulg) 3/4" Area de refuerzo (cm²) 34.44 0.3 ρ (%) 1.378 Cumple 0.25 Espaciamiento Horizontal (cm) 11.45 Cumple 0.2 Espaciamiento Vertical (cm) 11.45 Cumple 0.15 MATERIALES 0.1 0.05 f'c (kg/cm²) 210 β 0.75 0 Fy (kg/cm²) 4200 -0.05 0 0.1 0.2 PARAMETROS DE CALCULO MODO DE EJECUC # Puntos en zona Fragil 27 # Puntos en zona Ductil 27 MANUAL AUTOMATICO CARGAS ACTUANTES A GRAFICAR # Puntos a graficar 5 GRAFICAR COMBINACION M (Tn.m) P (Tn) Punto 1 6 78 Punto 2 17 178 Punto 3 21 97 Punto 4 Punto 5
Diagrama de interaccion para columnas rectangulares
Diagrama de interaccion para columnas rectangulares
INTERACCION DE FRAGIL CCION RECTANGULAR Acerca de ACERO SECCION 0.5m x 0.5m 5 5 5 4 5 3 5 2 5 1 5 0 5 0 0.1 0.2 0.3 0.4 0.5 0.6 MODO DE EJECUCION MANUAL CALCULAR AUTOMATICO
Diagrama de interaccion para columnas rectangulares
Diagrama de interaccion para columnas rectangulares
FRAGIL PHMF PHPF CF AF MF PF PH calculo PHMD PHPD CD AD MD PD PH GX ACERO GY MANUAL concentr(Tn) balanceada ACERO GRAF### ### ### ### Punto### ###### ###### ###### ### ### ### 1 ###YA ### ### ### ### Punto### ###### ###### ###### ### ### ### 2 ### ### ### ### ### Punto### ###### ###### ### ### ### 3 ### ### ### ### ### ### ###### ###### ###### ###### ### ### ### ### ### ### ###### ###### ###### ### ### ### ### ### ### ### ###### ###### ### ### SI ### ### ### ### ###### ###### ###### ### ### ### ###### ###### ###### ###### ### ### ### ### ### ### ###### ###### ###### ### ### ### ### ### ### ###### ###### ###### ### ### ### ###### ###### ###### ###### ### ### ### ###### ###### ###### ### ### ### ### ### ### ###### ### ### ### ### ### ### ### ###### ### ### ### ### ### ### ### ###### ### ### ### ### ### ### ### ###### ### ### ### ### ### ### ### ###### ### ### ### ### ### ### ### ###### ### ### ### ### ### ### ### ###### ### ### ### ### ### ### ### ###### ### ### ### ### ### ### ### ###### ### ### ### ### ### ### ### ###### ### ### ### ### ### ### ### ###### ### ### ### ### ### ### ### ###### ### ### ### ### ### ### ### ###### ### ### ### ### ### ### ### ###### ### ### ### ### ### ### ### ###### ### ### ### ### ### ### ### ###### ### ### ### ### ### ### ### ### ### ### ### ### ###
Diagrama de interaccion para columnas rectangulares
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DIAGRAMA DE INTERACCION DE COLUMNAS DE SECCION RECTANGULA CARGA CONCENTRICA FALLA BALANCEADA Po (Tn) 590.9 Cb (cm) 26.5 ΦPo (Tn) 413.63 Pb (Tn) 181.3 Pn max (Tn.m) 472.72 Mb (Tn.m) 47.21 ΦPn max (Tn.m) 330.9 ΦPb (Tn) 126.91 ΦMb (Tn.m) 33.04 ZONA DE FALLA FRAGIL ZONA Punto c a Pn Mn ΦPn ΦMn Punto # (cm) (cm) (Tn) (Tn.m) Φ (Tn) (Tn.m) # 1 27.34 20.5 192.51 46.72 0.7 134.76 32.7 1 2 28.18 21.14 203.4 46.24 0.7 142.38 32.37 2 3 29.02 21.76 213.97 45.77 0.7 149.78 32.04 3 4 29.86 22.4 224.27 45.3 0.7 156.99 31.71 4 5 30.7 23.02 234.32 44.83 0.7 164.02 31.38 5 6 31.54 23.66 244.13 44.36 0.7 170.89 31.05 6 7 32.38 24.29 253.72 43.88 0.7 177.6 30.72 7 8 33.21 24.91 263 43.4 0.7 184.1 30.38 8 9 34.05 25.54 272.2 42.9 0.7 190.54 30.03 9 10 34.89 26.17 281.24 42.39 0.7 196.87 29.68 10 11 35.73 26.8 290.11 41.87 0.7 203.08 29.31 11 12 36.57 27.43 298.84 41.33 0.7 209.19 28.93 12 13 37.41 28.06 307.42 40.78 0.7 215.19 28.54 13 14 38.25 28.69 315.88 40.21 0.7 221.11 28.14 14 15 39.09 29.32 324.21 39.61 0.7 226.95 27.73 15 16 39.93 29.95 332.43 39 0.7 232.7 27.3 16 17 40.77 30.58 340.54 38.37 0.7 238.38 26.86 17 18 41.61 31.21 348.55 37.71 0.7 243.99 26.4 18 19 42.45 31.84 356.47 37.04 0.7 249.53 25.93 19 20 43.29 32.47 364.3 36.34 0.7 255.01 25.44 20 21 44.12 33.09 371.95 35.62 0.7 260.37 24.93 21 22 44.96 33.72 379.62 34.87 0.7 265.73 24.41 22 23 45.8 34.35 387.21 34.1 0.7 271.04 23.87 23 24 46.64 34.98 394.73 33.3 0.7 276.31 23.31 24 25 47.48 35.61 402.18 32.47 0.7 281.53 22.73 25 26 48.32 36.24 409.57 31.62 0.7 286.7 22.13 26 27 49.16 36.87 416.9 30.74 0.7 291.83 21.52 27
Diagrama de interaccion para columnas rectangulares
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ACCION DE RECTANGULAR Acerca de FLEXION PURA C (cm) 9.49 P (Tn) 0 M (Tn.m) 29.88 ΦP (Tn) 0 ΦM (Tn.m) 26.89 ZONA DE FALLA DUCTIL c a Pn Mn ΦPn ΦMn (cm) (cm) (Tn) (Tn.m) Φ (Tn) (Tn.m) 10.1 7.57 6.26 31.04 0.88 5.51 27.31 10.7 8.02 12.17 32.11 0.85 10.35 27.29 11.31 8.48 20.74 33.32 0.82 17.01 27.33 11.92 8.94 29.23 34.49 0.79 23.09 27.25 12.53 9.4 37.28 35.59 0.76 28.33 27.05 13.14 9.86 44.97 36.62 0.73 32.82 26.74 13.74 10.3 52.21 37.59 0.7 36.55 26.31 14.35 10.76 59.3 38.52 0.7 41.51 26.97 14.96 11.22 66.15 39.41 0.7 46.3 27.59 15.57 11.68 72.78 40.25 0.7 50.94 28.18 16.17 12.13 79.11 41.04 0.7 55.38 28.73 16.78 12.58 85.06 41.74 0.7 59.54 29.22 17.39 13.04 90.46 42.33 0.7 63.32 29.63 18 13.5 95.77 42.89 0.7 67.04 30.02 18.6 13.95 100.92 43.42 0.7 70.64 30.39 19.21 14.41 107.83 43.81 0.7 75.48 30.67 19.82 14.86 114.67 44.19 0.7 80.27 30.93 20.42 15.32 121.24 44.54 0.7 84.87 31.18 21.03 15.77 127.77 44.88 0.7 89.44 31.42 21.64 16.23 134.16 45.21 0.7 93.91 31.65 22.25 16.69 140.42 45.52 0.7 98.3 31.86 22.86 17.14 146.57 45.81 0.7 102.6 32.07 23.46 17.6 152.51 46.08 0.7 106.76 32.26 24.07 18.05 158.46 46.34 0.7 110.92 32.44 24.68 18.51 164.31 46.59 0.7 115.02 32.61 25.29 18.97 170.07 46.81 0.7 119.05 32.77 25.89 19.42 175.67 47.02 0.7 122.97 32.91
Diagrama de interaccion para columnas rectangulares
24.19 19.35 141.62 37.82 0.7 99.14 26.48 24.3 19.44 142.6 37.86 0.7 99.82 26.5 24.41 19.53 143.57 37.89 0.7 100.5 26.52 24.52 19.62 144.55 37.92 0.7 101.18 26.54 24.63 19.7 145.51 37.95 0.7 101.86 26.56 24.74 19.79 146.48 37.97 0.7 102.54 26.58
24.85 19.88 147.44 38 0.7 103.21 26.6 24.96 19.97 148.4 38.03 0.7 103.88 26.62 25.07 20.06 149.36 38.06 0.7 104.55 26.64 25.18 20.14 150.31 38.08 0.7 105.22 26.66 25.29 20.23 151.27 38.11 0.7 105.89 26.68 25.4 20.32 152.21 38.14 0.7 106.55 26.7 25.51 20.41 153.16 38.16 0.7 107.21 26.71 25.62 20.5 154.11 38.19 0.7 107.87 26.73 25.73 20.58 155.05 38.21 0.7 108.53 26.75 25.84 20.67 155.99 38.23 0.7 109.19 26.76 25.95 20.76 156.92 38.26 0.7 109.85 26.78 26.06 20.85 157.86 38.28 0.7 110.5 26.79 26.17 20.94 158.79 38.3 0.7 111.15 26.81 26.28 21.02 159.72 38.32 0.7 111.8 26.83 26.39 21.11 160.65 38.34 0.7 112.45 26.84
DIAGRAMA DE INTERACCION 700 600 590.9 Column W 500 Column AD 472.72 Column AG Column AN Column AQ 413.63 400 0 181.3 472.72 590.9 Pu (Ton) 330.9 413.63 330.9 300 200 Row 6 181.3 100 Row 7 Row 5 0 Row 8 0 15 14 13 12 11 10 9 0 5 10 15 20 25 30 35 40 45 50 Mu (Ton-m)

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Diagrama de interaccion para columnas rectangulares

  • 1. DIAGRAMA DE INTERACCION D COLUMNAS DE SECCION RECTANG GEOMETRIA DE LA SECCION Longitud en direccion X (m) 0.50 SECCION Longitud en direccion Y (m) 0.50 0.55 0.5 REFUERZO DE LA SECCION 0.45 # Varillas en direcion X 4 0.4 # Varillas en direcion Y 4 Recubrimiento (m) 0.04 0.35 Diametro del Refuerzo (pulg) 3/4" Area de refuerzo (cm²) 34.44 0.3 ρ (%) 1.378 Cumple 0.25 Espaciamiento Horizontal (cm) 11.45 Cumple 0.2 Espaciamiento Vertical (cm) 11.45 Cumple 0.15 MATERIALES 0.1 0.05 f'c (kg/cm²) 210 β 0.75 0 Fy (kg/cm²) 4200 -0.05 0 0.1 0.2 PARAMETROS DE CALCULO MODO DE EJECUC # Puntos en zona Fragil 27 # Puntos en zona Ductil 27 MANUAL AUTOMATICO CARGAS ACTUANTES A GRAFICAR # Puntos a graficar 5 GRAFICAR COMBINACION M (Tn.m) P (Tn) Punto 1 6 78 Punto 2 17 178 Punto 3 21 97 Punto 4 Punto 5
  • 4. INTERACCION DE FRAGIL CCION RECTANGULAR Acerca de ACERO SECCION 0.5m x 0.5m 5 5 5 4 5 3 5 2 5 1 5 0 5 0 0.1 0.2 0.3 0.4 0.5 0.6 MODO DE EJECUCION MANUAL CALCULAR AUTOMATICO
  • 7. FRAGIL PHMF PHPF CF AF MF PF PH calculo PHMD PHPD CD AD MD PD PH GX ACERO GY MANUAL concentr(Tn) balanceada ACERO GRAF### ### ### ### Punto### ###### ###### ###### ### ### ### 1 ###YA ### ### ### ### Punto### ###### ###### ###### ### ### ### 2 ### ### ### ### ### Punto### ###### ###### ### ### ### 3 ### ### ### ### ### ### ###### ###### ###### ###### ### ### ### ### ### ### ###### ###### ###### ### ### ### ### ### ### ### ###### ###### ### ### SI ### ### ### ### ###### ###### ###### ### ### ### ###### ###### ###### ###### ### ### ### ### ### ### ###### ###### ###### ### ### ### ### ### ### ###### ###### ###### ### ### ### ###### ###### ###### ###### ### ### ### ###### ###### ###### ### ### ### ### ### ### ###### ### ### ### ### ### ### ### ###### ### ### ### ### ### ### ### ###### ### ### ### ### ### ### ### ###### ### ### ### ### ### ### ### ###### ### ### ### ### ### ### ### ###### ### ### ### ### ### ### ### ###### ### ### ### ### ### ### ### ###### ### ### ### ### ### ### ### ###### ### ### ### ### ### ### ### ###### ### ### ### ### ### ### ### ###### ### ### ### ### ### ### ### ###### ### ### ### ### ### ### ### ###### ### ### ### ### ### ### ### ###### ### ### ### ### ### ### ### ###### ### ### ### ### ### ### ### ###### ### ### ### ### ### ### ### ### ### ### ### ### ###
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  • 10. DIAGRAMA DE INTERACCION DE COLUMNAS DE SECCION RECTANGULA CARGA CONCENTRICA FALLA BALANCEADA Po (Tn) 590.9 Cb (cm) 26.5 ΦPo (Tn) 413.63 Pb (Tn) 181.3 Pn max (Tn.m) 472.72 Mb (Tn.m) 47.21 ΦPn max (Tn.m) 330.9 ΦPb (Tn) 126.91 ΦMb (Tn.m) 33.04 ZONA DE FALLA FRAGIL ZONA Punto c a Pn Mn ΦPn ΦMn Punto # (cm) (cm) (Tn) (Tn.m) Φ (Tn) (Tn.m) # 1 27.34 20.5 192.51 46.72 0.7 134.76 32.7 1 2 28.18 21.14 203.4 46.24 0.7 142.38 32.37 2 3 29.02 21.76 213.97 45.77 0.7 149.78 32.04 3 4 29.86 22.4 224.27 45.3 0.7 156.99 31.71 4 5 30.7 23.02 234.32 44.83 0.7 164.02 31.38 5 6 31.54 23.66 244.13 44.36 0.7 170.89 31.05 6 7 32.38 24.29 253.72 43.88 0.7 177.6 30.72 7 8 33.21 24.91 263 43.4 0.7 184.1 30.38 8 9 34.05 25.54 272.2 42.9 0.7 190.54 30.03 9 10 34.89 26.17 281.24 42.39 0.7 196.87 29.68 10 11 35.73 26.8 290.11 41.87 0.7 203.08 29.31 11 12 36.57 27.43 298.84 41.33 0.7 209.19 28.93 12 13 37.41 28.06 307.42 40.78 0.7 215.19 28.54 13 14 38.25 28.69 315.88 40.21 0.7 221.11 28.14 14 15 39.09 29.32 324.21 39.61 0.7 226.95 27.73 15 16 39.93 29.95 332.43 39 0.7 232.7 27.3 16 17 40.77 30.58 340.54 38.37 0.7 238.38 26.86 17 18 41.61 31.21 348.55 37.71 0.7 243.99 26.4 18 19 42.45 31.84 356.47 37.04 0.7 249.53 25.93 19 20 43.29 32.47 364.3 36.34 0.7 255.01 25.44 20 21 44.12 33.09 371.95 35.62 0.7 260.37 24.93 21 22 44.96 33.72 379.62 34.87 0.7 265.73 24.41 22 23 45.8 34.35 387.21 34.1 0.7 271.04 23.87 23 24 46.64 34.98 394.73 33.3 0.7 276.31 23.31 24 25 47.48 35.61 402.18 32.47 0.7 281.53 22.73 25 26 48.32 36.24 409.57 31.62 0.7 286.7 22.13 26 27 49.16 36.87 416.9 30.74 0.7 291.83 21.52 27
  • 14. ACCION DE RECTANGULAR Acerca de FLEXION PURA C (cm) 9.49 P (Tn) 0 M (Tn.m) 29.88 ΦP (Tn) 0 ΦM (Tn.m) 26.89 ZONA DE FALLA DUCTIL c a Pn Mn ΦPn ΦMn (cm) (cm) (Tn) (Tn.m) Φ (Tn) (Tn.m) 10.1 7.57 6.26 31.04 0.88 5.51 27.31 10.7 8.02 12.17 32.11 0.85 10.35 27.29 11.31 8.48 20.74 33.32 0.82 17.01 27.33 11.92 8.94 29.23 34.49 0.79 23.09 27.25 12.53 9.4 37.28 35.59 0.76 28.33 27.05 13.14 9.86 44.97 36.62 0.73 32.82 26.74 13.74 10.3 52.21 37.59 0.7 36.55 26.31 14.35 10.76 59.3 38.52 0.7 41.51 26.97 14.96 11.22 66.15 39.41 0.7 46.3 27.59 15.57 11.68 72.78 40.25 0.7 50.94 28.18 16.17 12.13 79.11 41.04 0.7 55.38 28.73 16.78 12.58 85.06 41.74 0.7 59.54 29.22 17.39 13.04 90.46 42.33 0.7 63.32 29.63 18 13.5 95.77 42.89 0.7 67.04 30.02 18.6 13.95 100.92 43.42 0.7 70.64 30.39 19.21 14.41 107.83 43.81 0.7 75.48 30.67 19.82 14.86 114.67 44.19 0.7 80.27 30.93 20.42 15.32 121.24 44.54 0.7 84.87 31.18 21.03 15.77 127.77 44.88 0.7 89.44 31.42 21.64 16.23 134.16 45.21 0.7 93.91 31.65 22.25 16.69 140.42 45.52 0.7 98.3 31.86 22.86 17.14 146.57 45.81 0.7 102.6 32.07 23.46 17.6 152.51 46.08 0.7 106.76 32.26 24.07 18.05 158.46 46.34 0.7 110.92 32.44 24.68 18.51 164.31 46.59 0.7 115.02 32.61 25.29 18.97 170.07 46.81 0.7 119.05 32.77 25.89 19.42 175.67 47.02 0.7 122.97 32.91
  • 16. 24.19 19.35 141.62 37.82 0.7 99.14 26.48 24.3 19.44 142.6 37.86 0.7 99.82 26.5 24.41 19.53 143.57 37.89 0.7 100.5 26.52 24.52 19.62 144.55 37.92 0.7 101.18 26.54 24.63 19.7 145.51 37.95 0.7 101.86 26.56 24.74 19.79 146.48 37.97 0.7 102.54 26.58
  • 17. 24.85 19.88 147.44 38 0.7 103.21 26.6 24.96 19.97 148.4 38.03 0.7 103.88 26.62 25.07 20.06 149.36 38.06 0.7 104.55 26.64 25.18 20.14 150.31 38.08 0.7 105.22 26.66 25.29 20.23 151.27 38.11 0.7 105.89 26.68 25.4 20.32 152.21 38.14 0.7 106.55 26.7 25.51 20.41 153.16 38.16 0.7 107.21 26.71 25.62 20.5 154.11 38.19 0.7 107.87 26.73 25.73 20.58 155.05 38.21 0.7 108.53 26.75 25.84 20.67 155.99 38.23 0.7 109.19 26.76 25.95 20.76 156.92 38.26 0.7 109.85 26.78 26.06 20.85 157.86 38.28 0.7 110.5 26.79 26.17 20.94 158.79 38.3 0.7 111.15 26.81 26.28 21.02 159.72 38.32 0.7 111.8 26.83 26.39 21.11 160.65 38.34 0.7 112.45 26.84
  • 18. DIAGRAMA DE INTERACCION 700 600 590.9 Column W 500 Column AD 472.72 Column AG Column AN Column AQ 413.63 400 0 181.3 472.72 590.9 Pu (Ton) 330.9 413.63 330.9 300 200 Row 6 181.3 100 Row 7 Row 5 0 Row 8 0 15 14 13 12 11 10 9 0 5 10 15 20 25 30 35 40 45 50 Mu (Ton-m)