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DIAGRAMA DE INTERACCION DE

COLUMNAS DE SECCION RECTANGUL
GEOMETRIA DE LA SECCION
Longitud en direccion X (m)

0.30

Longitud en direccion Y (m)

0.60

SECCION 0.3

0.64
0.59

REFUERZO DE LA SECCION
# Varillas en direcion X
# Varillas en direcion Y
Recubrimiento (m)
Diametro del Refuerzo (pulg)
Area de refuerzo (cm²)

0.54
0.49

ρ (%)

3
3
0.04
3/4"
22.96
1.276

Cumple

Espaciamiento Horizontal (cm)

8.14

Cumple

Espaciamiento Vertical (cm)

23.14

Cumple

0.44
0.39
0.34
0.29
0.24
0.19
0.14

MATERIALES

0.09

f'c (kg/cm²)
β
Fy (kg/cm²)

420

0.04

0.75

-0.01

3500

0

0.1

-0.06

PARAMETROS DE CALCULO

MODO DE EJECUC
# Puntos en zona Fragil

27

# Puntos en zona Ductil

23

MANUAL
AUTOMATICO

CARGAS ACTUANTES A GRAFICAR
# Puntos a graficar

3

COMBINACION
Punto 1
Punto 2
Punto 3

M (Tn.m)
6
17
21

GRAFICAR
P (Tn)
78
178
97

INTERACCION DE

FRAGIL

CCION RECTANGULAR

Acerca de
ACERO

SECCION 0.3m x 0.6m

0.64

0.59

0.54

0.49

0.44

0.39

0.34

0.29

0.24

0.19

0.14

0.09

0.04

0.01

0

0.1

0.2

0.06

MODO DE EJECUCION
MANUAL


AUTOMATICO

0.3

0.4

FRAGIL
PHMF
PHPF
CF
AF
MF
PF
PH
calculo
PHMD
PHPD
CD
AD
MD
PD
PH
GX
GY
concentr(Tn)
balanceada
ACERO
GRAF
ACERO
###
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AUTO
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DIAGRAMA DE INTERACCION DE
COLUMNAS DE SECCION RECTANGULAR

CARGA CONCENTRICA
Po (Tn)
ΦPo (Tn)
Pn max (Tn.m)
ΦPn max (Tn.m)

FALLA BALANCEADA
Cb (cm)
Pb (Tn)
Mb (Tn.m)
ΦPb (Tn)
ΦMb (Tn.m)

722.96
506.07
578.37
404.86

34.77
284.03
62.46
198.82
43.72

ZONA DE FALLA FRAGIL
Punto

#

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27

c
(cm)
35.67
36.57
37.47
38.37
39.28
40.18
41.08
41.98
42.88
43.78
44.68
45.58
46.48
47.39
48.29
49.19
50.09
50.99
51.89
52.79
53.69
54.59
55.49
56.4
57.3
58.2
59.1

a
(cm)
26.75
27.43
28.1
28.78
29.46
30.14
30.81
31.48
32.16
32.84
33.51
34.18
34.86
35.54
36.22
36.89
37.57
38.24
38.92
39.59
40.27
40.94
41.62
42.3
42.97
43.65
44.32

Pn
(Tn)
294.07
303.97
313.75
323.4
333.05
342.49
351.84
361.09
370.26
379.35
388.36
397.3
406.18
415.09
423.84
432.54
441.19
449.78
458.33
466.83
475.29
483.71
492.09
500.53
508.84
517.11
525.36

Mn
(Tn.m)
62.21
61.92
61.62
61.29
60.92
60.53
60.11
59.65
59.16
58.64
58.08
57.49
56.86
56.19
55.48
54.74
53.96
53.13
52.27
51.37
50.42
49.44
48.41
47.33
46.22
45.06
43.87

Φ
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7

ΦPn
(Tn)
205.85
212.78
219.62
226.38
233.14
239.75
246.29
252.76
259.18
265.54
271.85
278.11
284.32
290.56
296.69
302.78
308.83
314.85
320.83
326.78
332.7
338.6
344.47
350.37
356.19
361.98
367.75

ZO
ΦMn
(Tn.m)
43.54
43.35
43.13
42.9
42.64
42.37
42.07
41.76
41.41
41.05
40.66
40.24
39.8
39.33
38.84
38.32
37.77
37.19
36.59
35.96
35.3
34.61
33.89
33.13
32.35
31.54
30.71

Punto

#

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23

130
131
132
133
134
135
136
137
138
139

140
141
142
143
144
145
146
147
148
149
150

CCION DE
ECTANGULAR

Acerca de

FLEXION PURA
C (cm)
P (Tn)
M (Tn.m)
ΦP (Tn)
ΦM (Tn.m)

5.56
0
21.41
0
19.27

ZONA DE FALLA DUCTIL
c
(cm)
6.78
7.99
9.21
10.43
11.65
12.86
14.08
15.3
16.51
17.73
18.95
20.17
21.38
22.6
23.82
25.03
26.25
27.47
28.68
29.9
31.12
32.34
33.55

a
(cm)
5.08
5.99
6.91
7.82
8.74
9.64
10.56
11.48
12.38
13.3
14.21
15.13
16.04
16.95
17.87
18.77
19.69
20.6
21.51
22.42
23.34
24.26
25.16

Pn
(Tn)
18.14
33.58
47.62
60.67
73.04
83.21
93.01
102.81
112.53
122.33
132.13
145.23
157.85
170.26
182.4
194.22
205.93
217.48
228.79
240.06
251.21
262.26
273.13

Mn
(Tn.m)
25.98
29.79
33.16
36.2
38.97
41.1
43.05
44.91
46.67
48.35
49.94
51.44
52.85
54.17
55.4
56.54
57.59
58.56
59.43
60.22
60.91
61.52
62.04

Φ
0.85
0.81
0.77
0.74
0.71
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7

ΦPn
(Tn)
15.42
27.2
36.67
44.9
51.86
58.25
65.11
71.97
78.77
85.63
92.49
101.66
110.49
119.18
127.68
135.95
144.15
152.24
160.15
168.04
175.85
183.58
191.19

ΦMn
(Tn.m)
22.09
24.13
25.54
26.78
27.67
28.77
30.14
31.44
32.67
33.85
34.96
36.01
36.99
37.92
38.78
39.58
40.32
40.99
41.6
42.15
42.64
43.07
43.43

24.19
24.3
24.41
24.52
24.63
24.74
24.85
24.96
25.07
25.18

19.35
19.44
19.53
19.62
19.7
19.79
19.88
19.97
20.06
20.14

141.62
142.6
143.57
144.55
145.51
146.48
147.44
148.4
149.36
150.31

37.82
37.86
37.89
37.92
37.95
37.97
38
38.03
38.06
38.08

0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7

99.14
99.82
100.5
101.18
101.86
102.54
103.21
103.88
104.55
105.22

26.48
26.5
26.52
26.54
26.56
26.58
26.6
26.62
26.64
26.66

25.29
25.4
25.51
25.62
25.73
25.84
25.95
26.06
26.17
26.28
26.39

20.23
20.32
20.41
20.5
20.58
20.67
20.76
20.85
20.94
21.02
21.11

151.27
152.21
153.16
154.11
155.05
155.99
156.92
157.86
158.79
159.72
160.65

38.11
38.14
38.16
38.19
38.21
38.23
38.26
38.28
38.3
38.32
38.34

0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7

105.89
106.55
107.21
107.87
108.53
109.19
109.85
110.5
111.15
111.8
112.45

26.68
26.7
26.71
26.73
26.75
26.76
26.78
26.79
26.81
26.83
26.84

DIAGRAMA DE INTERACCION
800
2; 722.96

700

Pu (Ton)

600

CARGAS
ACTUANTES

1; 578.37

ZONA DE
FALLA
FRAGIL

2; 506.07

500

ZONA DE
FALLA
FRAGIL
(DISEÑO)

1; 404.86

400

300

ZONA DE
FALLA
DUCTIL

2; 284.03

200

178

100

97

78

0

1; 0
0

0

10

20

30

40

Mu (Ton-m)

50

60

70

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