diagramas de interaccion
DESCRIPTION
Diagramas de Interaccion para columnasTRANSCRIPT
DIAGRAMAS DE INTERACCION Pu - Mu
A. Columnas Armadura Bordes Extremos fy = 420 MPa (1 - 16) 1 . f'c = 20 MPa γ = 0.82 . f'c = 25 MPa γ = 0.83 . f'c = 30 MPa γ = 0.84 . f'c = 35 MPa γ = 0.85 . f'c = 40 MPa γ = 0.86 . f'c = 45 MPa γ = 0.87 . f'c = 50 MPa γ = 0.88 . f'c = 55 MPa γ = 0.8
9 . f'c = 20 MPa γ = 0.910 . f'c = 25 MPa γ = 0.911 . f'c = 30 MPa γ = 0.912 . f'c = 35 MPa γ = 0.913 . f'c = 40 MPa γ = 0.914 . f'c = 45 MPa γ = 0.915 . f'c = 50 MPa γ = 0.916 . f'c = 55 MPa γ = 0.9
B. Columnas Armadura Perimetral fy = 420 MPa (17 - 32)17 . f'c = 20 MPa γ = 0.818 . f'c = 25 MPa γ = 0.819 . f'c = 30 MPa γ = 0.820 . f'c = 35 MPa γ = 0.821 . f'c = 40 MPa γ = 0.822 . f'c = 45 MPa γ = 0.823 . f'c = 50 MPa γ = 0.824 . f'c = 55 MPa γ = 0.8
25 . f'c = 20 MPa γ = 0.926 . f'c = 25 MPa γ = 0.927 . f'c = 30 MPa γ = 0.928 . f'c = 35 MPa γ = 0.929 . f'c = 40 MPa γ = 0.930 . f'c = 45 MPa γ = 0.931 . f'c = 50 MPa γ = 0.932 . f'c = 55 MPa γ = 0.9
C. Columnas Armadura Lateral fy = 420 MPa (33 - 40)33 . f'c = 20 MPa γ = 0.834 . f'c = 25 MPa γ = 0.835 . f'c = 30 MPa γ = 0.836 . f'c = 35 MPa γ = 0.8
37 . f'c = 20 MPa γ = 0.938 . f'c = 25 MPa γ = 0.939 . f'c = 30 MPa γ = 0.940 . f'c = 35 MPa γ = 0.9
D. Columnas Armadura Bordes Extremos fy = 280 MPa (41 - 48) 41 . f'c = 20 MPa γ = 0.842 . f'c = 25 MPa γ = 0.843 . f'c = 30 MPa γ = 0.844 . f'c = 35 MPa γ = 0.8
45 . f'c = 20 MPa γ = 0.946 . f'c = 25 MPa γ = 0.947 . f'c = 30 MPa γ = 0.948 . f'c = 35 MPa γ = 0.9
E. Columnas Armadura Perimetral fy = 280 MPa (49 - 56)49 . f'c = 20 MPa γ = 0.850 . f'c = 25 MPa γ = 0.851 . f'c = 30 MPa γ = 0.852 . f'c = 35 MPa γ = 0.8
53 . f'c = 20 MPa γ = 0.954 . f'c = 25 MPa γ = 0.955 . f'c = 30 MPa γ = 0.956 . f'c = 35 MPa γ = 0.9
F. Columnas Armadura Lateral fy = 280 MPa (57 - 64)57 . f'c = 20 MPa γ = 0.858 . f'c = 25 MPa γ = 0.859 . f'c = 30 MPa γ = 0.860 . f'c = 35 MPa γ = 0.8
61 . f'c = 20 MPa γ = 0.962 . f'c = 25 MPa γ = 0.963 . f'c = 30 MPa γ = 0.964 . f'c = 35 MPa γ = 0.9
G. Muros Armadura Uniformemente Distribuida fy = 420 MPa (65 - 72)65 . f'c = 20 MPa γ = 1.066 . f'c = 25 MPa γ = 1.067 . f'c = 30 MPa γ = 1.068 . f'c = 35 MPa γ = 1.069 . f'c = 40 MPa γ = 1.070 . f'c = 45 MPa γ = 1.071 . f'c = 50 MPa γ = 1.072 . f'c = 55 MPa γ = 1.0
H. Muros Armadura Concentrada en Extremos ρρw= 0.0025 fy = 420 MPa (73 - 80)
73 . f'c = 20 MPa γ = 0.974 . f'c = 25 MPa γ = 0.975 . f'c = 30 MPa γ = 0.976 . f'c = 35 MPa γ = 0.977 . f'c = 40 MPa γ = 0.978 . f'c = 45 MPa γ = 0.979 . f'c = 50 MPa γ = 0.980 . f'c = 55 MPa γ = 0.9
I. Muros Armadura Concentrada en Extremos ρρw= 0.0050 fy = 420 MPa (81 - 88)
81 . f'c = 20 MPa γ = 0.9
82 . f'c = 25 MPa γ = 0.9
83 . f'c = 30 MPa γ = 0.9
84 . f'c = 35 MPa γ = 0.9
85 . f'c = 40 MPa γ = 0.9
86 . f'c = 45 MPa γ = 0.9
87 . f'c = 50 MPa γ = 0.9
88 . f'c = 55 MPa γ = 0.9
1- Diagrama de Interacción Pu - MuColumnas Armadura en Bordes Extremos
0
0.2
0.4
0.6
0.8
1
1.2
1.4
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7
Pu / (f'c Ag) * e/h
Pu
/ (f
'c A
g)
γh
h
b
ePu
f’c = 20 MPafy = 420 MPaγ = 0.8
ρg = 8% e/h = 0.1 0.2 0.3 0.4
0.5
1.0
2.0
fs = 0
fs = fy
1%
2%
3%
4%
5%
6%
7%
2- Diagrama de Interacción Pu - MuColumnas Armadura en Bordes Extremos
0
0.2
0.4
0.6
0.8
1
1.2
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7
Pu / (f'c Ag) * e/h
Pu
/ (f
'c A
g)
γh
h
b
ePu
f’c = 25 MPafy = 420 MPaγ = 0.8
ρg = 8% e/h = 0.10.2 0.3 0.4
0.5
1.0
2.0
fs = 0
fs = fy
1%
2%
3%
4%
5%
6%
7%
3- Diagrama de Interacción Pu - MuColumnas Armadura en Bordes Extremos
0
0.2
0.4
0.6
0.8
1
1.2
0 0.1 0.2 0.3 0.4 0.5 0.6
Pu / (f'c Ag) * e/h
Pu
/ (f
'c A
g)
γh
h
b
ePu
f’c = 30 MPafy = 420 MPaγ = 0.8
ρg = 8%
e/h = 0.1 0.2 0.3 0.4
0.5
1.0
2.0
fs = 0
fs = fy
1%
2%
3%
4%
5%
6%
7%
4- Diagrama de Interacción Pu - MuColumnas Armadura en Bordes Extremos
0
0.2
0.4
0.6
0.8
1
0 0.1 0.2 0.3 0.4 0.5
Pu / (f'c Ag) * e/h
Pu
/ (f
'c A
g)
γh
h
b
ePu
f’c = 35 MPafy = 420 MPaγ = 0.8
ρg = 8%e/h = 0.1
0.2 0.3 0.4
0.5
1.0
2.0
fs = 0
fs = fy
1%
2%
3%
4%
5%
6%
7%
5- Diagrama de Interacción Pu - MuColumnas Armadura en Bordes Extremos
0
0.2
0.4
0.6
0.8
1
0 0.1 0.2 0.3 0.4
Pu / (f'c Ag) * e/h
Pu
/ (f
'c A
g)
γh
h
b
ePu
f’c = 40 MPafy = 420 MPaγ = 0.8
ρg = 8%
e/h = 0.1
0.2 0.3
0.4
0.5
1.0
2.0
fs = 0
fs = fy
1%
2%
3%
4%
5%
6%
7%
6- Diagrama de Interacción Pu - MuColumnas Armadura en Bordes Extremos
0
0.2
0.4
0.6
0.8
1
0 0.1 0.2 0.3 0.4
Pu / (f'c Ag) * e/h
Pu
/ (f
'c A
g)
γh
h
b
ePu
f’c = 45 MPafy = 420 MPaγ = 0.8
ρg = 8%
e/h = 0.10.2 0.3
0.4
0.5
1.0
2.0
fs = 0
fs = fy
1%
2%
3%
4%
5%
6%
7%
7- Diagrama de Interacción Pu - MuColumnas Armadura en Bordes Extremos
0
0.2
0.4
0.6
0.8
1
0 0.1 0.2 0.3 0.4
Pu / (f'c Ag) * e/h
Pu
/ (f
'c A
g)
γh
h
b
ePu
f’c = 50 MPafy = 420 MPaγ = 0.8
ρg = 8%
e/h = 0.1 0.2 0.3
0.4
0.5
1.0
2.0
fs = 0
fs = fy
1%2%3%4%5%6%7%
8- Diagrama de Interacción Pu - MuColumnas Armadura en Bordes Extremos
0
0.2
0.4
0.6
0.8
1
0 0.1 0.2 0.3 0.4
Pu / (f'c Ag) * e/h
Pu
/ (f
'c A
g)
γh
h
b
ePu
f’c = 55 MPafy = 420 MPaγ = 0.8
ρg = 8%
e/h = 0.1 0.2 0.3
0.4
0.5
1.0
2.0
fs = 0
fs = fy
1%2%
4%5%6%7%
3%
9- Diagrama de Interacción Pu - MuColumnas Armadura en Bordes Extremos
0
0.2
0.4
0.6
0.8
1
1.2
1.4
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8
Pu / (f'c Ag) * e/h
Pu
/ (f
'c A
g)
γh
h
b
ePu
f’c = 20 MPafy = 420 MPaγ = 0.9
ρg = 8% e/h = 0.1 0.2 0.3 0.4
0.5
1.0
2.0
fs = 0
fs = fy
1%
2%
3%
4%
5%
6%
7%
10- Diagrama de Interacción Pu - MuColumnas Armadura en Bordes Extremos
0
0.2
0.4
0.6
0.8
1
1.2
1.4
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7
Pu / (f'c Ag) * e/h
Pu
/ (f
'c A
g)
γh
h
b
ePu
f’c = 25 MPafy = 420 MPaγ = 0.9
ρg = 8%
e/h = 0.1 0.2 0.3 0.4
0.5
1.0
2.0
fs = 0
fs = fy
1%
2%
3%
4%
5%
6%
7%
11- Diagrama de Interacción Pu - MuColumnas Armadura en Bordes Extremos
0
0.2
0.4
0.6
0.8
1
1.2
0 0.1 0.2 0.3 0.4 0.5 0.6
Pu / (f'c Ag) * e/h
Pu
/ (f
'c A
g)
γh
h
b
ePu
f’c = 30 MPafy = 420 MPaγ = 0.9
ρg = 8%
e/h = 0.1 0.2 0.3 0.4
0.5
1.0
2.0
fs = 0
fs = fy
1%
2%
3%
4%
5%
6%
7%
12- Diagrama de Interacción Pu - MuColumnas Armadura en Bordes Extremos
0
0.2
0.4
0.6
0.8
1
0 0.1 0.2 0.3 0.4 0.5 0.6
Pu / (f'c Ag) * e/h
Pu
/ (f
'c A
g)
γh
h
b
ePu
f’c = 35 MPafy = 420 MPaγ = 0.9
ρg = 8%e/h = 0.1
0.2 0.3 0.4 0.5
1.0
2.0
fs = 0
fs = fy
1%
2%
3%
4%
5%
6%
7%
13- Diagrama de Interacción Pu - MuColumnas Armadura en Bordes Extremos
0
0.2
0.4
0.6
0.8
1
0 0.1 0.2 0.3 0.4 0.5
Pu / (f'c Ag) * e/h
Pu
/ (f
'c A
g)
γh
h
b
ePu
f’c = 40 MPafy = 420 MPaγ = 0.9
ρg = 8%
e/h = 0.10.2 0.3 0.4
0.5
1.0
2.0
fs = 0
fs = fy
1%
2%
3%
4%
5%
6%
7%
14- Diagrama de Interacción Pu - MuColumnas Armadura en Bordes Extremos
0
0.2
0.4
0.6
0.8
1
0 0.1 0.2 0.3 0.4 0.5
Pu / (f'c Ag) * e/h
Pu
/ (f
'c A
g)
γh
h
b
ePu
f’c = 45 MPafy = 420 MPaγ = 0.9
ρg = 8%
e/h = 0.1 0.2 0.3 0.4
0.5
1.0
2.0
fs = 0
fs = fy
1%
2%
3%
4%
5%
6%
7%
15- Diagrama de Interacción Pu - MuColumnas Armadura en Bordes Extremos
0
0.2
0.4
0.6
0.8
1
0 0.1 0.2 0.3 0.4
Pu / (f'c Ag) * e/h
Pu
/ (f
'c A
g)
γh
h
b
ePu
f’c = 50 MPafy = 420 MPaγ = 0.9
ρg = 8%
e/h = 0.1 0.2 0.3
0.4
0.5
1.0
2.0
fs = 0
fs = fy
1%2%
3%4%5%6%7%
16- Diagrama de Interacción Pu - MuColumnas Armadura en Bordes Extremos
0
0.2
0.4
0.6
0.8
1
0 0.1 0.2 0.3 0.4
Pu / (f'c Ag) * e/h
Pu
/ (f
'c A
g)
γh
h
b
ePu
f’c = 55 MPafy = 420 MPaγ = 0.9
ρg = 8%
e/h = 0.1 0.2 0.3
0.4
0.5
1.0
2.0
fs = 0
fs = fy
1%2%3%4%5%6%7%
17- Diagrama de Interacción Pu - MuColumnas Armadura Perimetral
0
0.2
0.4
0.6
0.8
1
1.2
1.4
0 0.1 0.2 0.3 0.4 0.5
Pu / (f'c Ag) * e/h
Pu
/ (f
'c A
g)
f’c = 20 MPafy = 420 MPaγ = 0.8
ρg = 8% e/h = 0.1 0.2
0.3
0.4
0.5
1.0
2.0
fs = 0
fs = fy
1%
2%
3%
4%
5%
6%
7%
γh
h
b
ePu
18- Diagrama de Interacción Pu - MuColumnas Armadura Perimetral
0
0.2
0.4
0.6
0.8
1
1.2
1.4
0 0.1 0.2 0.3 0.4 0.5
Pu / (f'c Ag) * e/h
Pu
/ (f
'c A
g)
f’c = 25 MPafy = 420 MPaγ = 0.8
ρg = 8%
e/h = 0.1 0.2
0.3
0.4
0.5
1.0
2.0
fs = 0
fs = fy
1%
2%
3%
4%
5%
6%
7%
γh
h
b
ePu
19- Diagrama de Interacción Pu - MuColumnas Armadura Perimetral
0
0.2
0.4
0.6
0.8
1
1.2
0 0.1 0.2 0.3 0.4
Pu / (f'c Ag) * e/h
Pu
/ (f
'c A
g)
f’c = 30 MPafy = 420 MPaγ = 0.8
ρg = 8%
e/h = 0.1 0.2
0.3
0.4
0.5
1.0
2.0
fs = 0
fs = fy
1%
2%
3%
4%
5%
6%
7%
γh
h
b
ePu
20- Diagrama de Interacción Pu - MuColumnas Armadura Perimetral
0
0.2
0.4
0.6
0.8
1
1.2
0 0.1 0.2 0.3 0.4
Pu / (f'c Ag) * e/h
Pu
/ (f
'c A
g)
f’c = 35 MPafy = 420 MPaγ = 0.8
ρg = 8%
e/h = 0.1 0.2
0.3
0.4
0.5
1.0
2.0
fs = 0
fs = fy
1%
2%
3%
4%
5%
6%
7%
γh
h
b
ePu
21- Diagrama de Interacción Pu - MuColumnas Armadura Perimetral
0
0.2
0.4
0.6
0.8
1
0 0.1 0.2 0.3 0.4
Pu / (f'c Ag) * e/h
Pu
/ (f
'c A
g)
f’c = 40 MPafy = 420 MPaγ = 0.8
ρg = 8%
e/h = 0.1 0.2 0.3
0.4
0.5
1.0
2.0
fs = 0
fs = fy
1%
2%
3%
4%
5%
6%
7%
γh
h
b
ePu
22- Diagrama de Interacción Pu - MuColumnas Armadura Perimetral
0
0.2
0.4
0.6
0.8
1
0 0.1 0.2 0.3
Pu / (f'c Ag) * e/h
Pu
/ (f
'c A
g)
f’c = 45 MPafy = 420 MPaγ = 0.8
ρg = 8%
e/h = 0.1 0.2
0.3
0.4
0.5
1.0
2.0
fs = 0
fs = fy
1%
2%
3%
4%
5%
6%
7%
γh
h
b
ePu
23- Diagrama de Interacción Pu - MuColumnas Armadura Perimetral
0
0.2
0.4
0.6
0.8
1
0 0.1 0.2 0.3
Pu / (f'c Ag) * e/h
Pu
/ (f
'c A
g)
f’c = 50 MPafy = 420 MPaγ = 0.8
ρg = 8%
e/h = 0.1 0.2
0.3
0.4
0.5
1.0
2.0
fs = 0
fs = fy
1%2%
3%4%5%
6%7%
γh
h
b
ePu
24- Diagrama de Interacción Pu - MuColumnas Armadura Perimetral
0
0.2
0.4
0.6
0.8
1
0 0.1 0.2 0.3
Pu / (f'c Ag) * e/h
Pu
/ (f
'c A
g)
f’c = 55 MPafy = 420 MPaγ = 0.8
ρg = 8%
e/h = 0.1 0.2
0.3
0.4
0.5
1.0
2.0
fs = 0
fs = fy
1%2%3%4%5%6%7%
γh
h
b
ePu
25- Diagrama de Interacción Pu - MuColumnas Armadura Perimetral
0
0.2
0.4
0.6
0.8
1
1.2
1.4
0 0.1 0.2 0.3 0.4 0.5 0.6
Pu / (f'c Ag) * e/h
Pu
/ (f
'c A
g)
f’c = 20 MPafy = 420 MPaγ = 0.9
ρg = 8% e/h = 0.1 0.2 0.3
0.4
0.5
1.0
2.0
fs = 0
fs = fy
1%
2%
3%
4%
5%
6%
7%
γh
h
b
ePu
26- Diagrama de Interacción Pu - MuColumnas Armadura Perimetral
0
0.2
0.4
0.6
0.8
1
1.2
1.4
0 0.1 0.2 0.3 0.4 0.5
Pu / (f'c Ag) * e/h
Pu
/ (f
'c A
g)
f’c = 25 MPafy = 420 MPaγ = 0.9
ρg = 8%
e/h = 0.1 0.2
0.3
0.4
0.5
1.0
2.0
fs = 0
fs = fy
1%
2%
3%
4%
5%
6%
7%
γh
h
b
ePu
27- Diagrama de Interacción Pu - MuColumnas Armadura Perimetral
0
0.2
0.4
0.6
0.8
1
1.2
0 0.1 0.2 0.3 0.4 0.5
Pu / (f'c Ag) * e/h
Pu
/ (f
'c A
g)
f’c = 30 MPafy = 420 MPaγ = 0.9
ρg = 8%
e/h = 0.1 0.2 0.3
0.4
0.5
1.0
2.0
fs = 0
fs = fy
1%
2%
3%
4%
5%
6%
7%
γh
h
b
ePu
28- Diagrama de Interacción Pu - MuColumnas Armadura Perimetral
0
0.2
0.4
0.6
0.8
1
1.2
0 0.1 0.2 0.3 0.4
Pu / (f'c Ag) * e/h
Pu
/ (f
'c A
g)
f’c = 35 MPafy = 420 MPaγ = 0.9
ρg = 8%
e/h = 0.1 0.2
0.3
0.4
0.5
1.0
2.0
fs = 0
fs = fy
1%
2%
3%
4%
5%
6%
7%
γh
h
b
ePu
29- Diagrama de Interacción Pu - MuColumnas Armadura Perimetral
0
0.2
0.4
0.6
0.8
1
0 0.1 0.2 0.3 0.4
Pu / (f'c Ag) * e/h
Pu
/ (f
'c A
g)
f’c = 40 MPafy = 420 MPaγ = 0.9
ρg = 8%
e/h = 0.1 0.2 0.3
0.4
0.5
1.0
2.0
fs = 0
fs = fy
1%
2%
3%
4%
5%
6%
7%
γh
h
b
ePu
30- Diagrama de Interacción Pu - MuColumnas Armadura Perimetral
0
0.2
0.4
0.6
0.8
1
0 0.1 0.2 0.3 0.4
Pu / (f'c Ag) * e/h
Pu
/ (f
'c A
g)
f’c = 45 MPafy = 420 MPaγ = 0.9
ρg = 8%
e/h = 0.1 0.2 0.3
0.4
0.5
1.0
2.0
fs = 0
fs = fy
1%
2%
3%
4%
5%
6%7%
γh
h
b
ePu
31- Diagrama de Interacción Pu - MuColumnas Armadura Perimetral
0
0.2
0.4
0.6
0.8
1
0 0.1 0.2 0.3
Pu / (f'c Ag) * e/h
Pu
/ (f
'c A
g)
f’c = 50 MPafy = 420 MPaγ = 0.9
ρg = 8%
e/h = 0.1 0.2
0.3
0.4
0.5
1.0
2.0
fs = 0
fs = fy
1%2%3%4%5%
6%7%
γh
h
b
ePu
32- Diagrama de Interacción Pu - MuColumnas Armadura Perimetral
0
0.2
0.4
0.6
0.8
1
0 0.1 0.2 0.3
Pu / (f'c Ag) * e/h
Pu
/ (f
'c A
g)
f’c = 55 MPafy = 420 MPaγ = 0.9
ρg = 8%
e/h = 0.1 0.2
0.3
0.4
0.5
1.0
2.0
fs = 0
fs = fy
1%2%3%4%5%6%7%
γh
h
b
ePu