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###
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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

12. 130
131
132
133
134
135

13. 136
137
138
139
140
141
142
143
144
145
146
147
148
149
150

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)