Diagrama de Interaccion Columnas Rectangulares ACI 202
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Diagrama de Interacción de Columnas Rectangulares
Transcript of Diagrama de Interaccion Columnas Rectangulares ACI 202
-
DIAGRAMAS DE INTERACCION Pu - Mu
A. Columnas Armadura Bordes Extremos fy = 420 MPa (1 - 16) 1 . f'c = 20 MPa g = 0.82 . f'c = 25 MPa g = 0.83 . f'c = 30 MPa g = 0.84 . f'c = 35 MPa g = 0.85 . f'c = 40 MPa g = 0.86 . f'c = 45 MPa g = 0.87 . f'c = 50 MPa g = 0.88 . f'c = 55 MPa g = 0.8
9 . f'c = 20 MPa g = 0.910 . f'c = 25 MPa g = 0.911 . f'c = 30 MPa g = 0.912 . f'c = 35 MPa g = 0.913 . f'c = 40 MPa g = 0.914 . f'c = 45 MPa g = 0.915 . f'c = 50 MPa g = 0.916 . f'c = 55 MPa g = 0.9
B. Columnas Armadura Perimetral fy = 420 MPa (17 - 32)17 . f'c = 20 MPa g = 0.818 . f'c = 25 MPa g = 0.819 . f'c = 30 MPa g = 0.820 . f'c = 35 MPa g = 0.821 . f'c = 40 MPa g = 0.822 . f'c = 45 MPa g = 0.823 . f'c = 50 MPa g = 0.824 . f'c = 55 MPa g = 0.8
25 . f'c = 20 MPa g = 0.926 . f'c = 25 MPa g = 0.927 . f'c = 30 MPa g = 0.928 . f'c = 35 MPa g = 0.929 . f'c = 40 MPa g = 0.930 . f'c = 45 MPa g = 0.931 . f'c = 50 MPa g = 0.932 . f'c = 55 MPa g = 0.9
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C. Columnas Armadura Lateral fy = 420 MPa (33 - 40)33 . f'c = 20 MPa g = 0.834 . f'c = 25 MPa g = 0.835 . f'c = 30 MPa g = 0.836 . f'c = 35 MPa g = 0.8
37 . f'c = 20 MPa g = 0.938 . f'c = 25 MPa g = 0.939 . f'c = 30 MPa g = 0.940 . f'c = 35 MPa g = 0.9
D. Columnas Armadura Bordes Extremos fy = 280 MPa (41 - 48) 41 . f'c = 20 MPa g = 0.842 . f'c = 25 MPa g = 0.843 . f'c = 30 MPa g = 0.844 . f'c = 35 MPa g = 0.8
45 . f'c = 20 MPa g = 0.946 . f'c = 25 MPa g = 0.947 . f'c = 30 MPa g = 0.948 . f'c = 35 MPa g = 0.9
E. Columnas Armadura Perimetral fy = 280 MPa (49 - 56)49 . f'c = 20 MPa g = 0.850 . f'c = 25 MPa g = 0.851 . f'c = 30 MPa g = 0.852 . f'c = 35 MPa g = 0.8
53 . f'c = 20 MPa g = 0.954 . f'c = 25 MPa g = 0.955 . f'c = 30 MPa g = 0.956 . f'c = 35 MPa g = 0.9
F. Columnas Armadura Lateral fy = 280 MPa (57 - 64)57 . f'c = 20 MPa g = 0.858 . f'c = 25 MPa g = 0.859 . f'c = 30 MPa g = 0.860 . f'c = 35 MPa g = 0.8
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61 . f'c = 20 MPa g = 0.962 . f'c = 25 MPa g = 0.963 . f'c = 30 MPa g = 0.964 . f'c = 35 MPa g = 0.9
G. Muros Armadura Uniformemente Distribuida fy = 420 MPa (65 - 72)65 . f'c = 20 MPa g = 1.066 . f'c = 25 MPa g = 1.067 . f'c = 30 MPa g = 1.068 . f'c = 35 MPa g = 1.069 . f'c = 40 MPa g = 1.070 . f'c = 45 MPa g = 1.071 . f'c = 50 MPa g = 1.072 . f'c = 55 MPa g = 1.0
H. Muros Armadura Concentrada en Extremos rrw= 0.0025 fy = 420 MPa (73 - 80)
73 . f'c = 20 MPa g = 0.974 . f'c = 25 MPa g = 0.975 . f'c = 30 MPa g = 0.976 . f'c = 35 MPa g = 0.977 . f'c = 40 MPa g = 0.978 . f'c = 45 MPa g = 0.979 . f'c = 50 MPa g = 0.980 . f'c = 55 MPa g = 0.9
I. Muros Armadura Concentrada en Extremos rrw= 0.0050 fy = 420 MPa (81 - 88)
81 . f'c = 20 MPa g = 0.982 . f'c = 25 MPa g = 0.983 . f'c = 30 MPa g = 0.984 . f'c = 35 MPa g = 0.985 . f'c = 40 MPa g = 0.986 . f'c = 45 MPa g = 0.987 . f'c = 50 MPa g = 0.988 . f'c = 55 MPa g = 0.9
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1- Diagrama de Interaccin 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)
gh
h
b
ePu
fc = 20 MPafy = 420 MPag = 0.8
rg = 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 Interaccin 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)
gh
h
b
ePu
fc = 25 MPafy = 420 MPag = 0.8
rg = 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%
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3- Diagrama de Interaccin 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)
gh
h
b
ePu
fc = 30 MPafy = 420 MPag = 0.8
rg = 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 Interaccin 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)
gh
h
b
ePu
fc = 35 MPafy = 420 MPag = 0.8
rg = 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 Interaccin 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)
gh
h
b
ePu
fc = 40 MPafy = 420 MPag = 0.8
rg = 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 Interaccin 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)
gh
h
b
ePu
fc = 45 MPafy = 420 MPag = 0.8
rg = 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 Interaccin 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)
gh
h
b
ePu
fc = 50 MPafy = 420 MPag = 0.8
rg = 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 Interaccin 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)
gh
h
b
ePu
fc = 55 MPafy = 420 MPag = 0.8
rg = 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 Interaccin 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)
gh
h
b
ePu
fc = 20 MPafy = 420 MPag = 0.9
rg = 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 Interaccin 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)
gh
h
b
ePu
fc = 25 MPafy = 420 MPag = 0.9
rg = 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 Interaccin 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)
gh
h
b
ePu
fc = 30 MPafy = 420 MPag = 0.9
rg = 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 Interaccin 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)
gh
h
b
ePu
fc = 35 MPafy = 420 MPag = 0.9
rg = 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 Interaccin 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)
gh
h
b
ePu
fc = 40 MPafy = 420 MPag = 0.9
rg = 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 Interaccin 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)
gh
h
b
ePu
fc = 45 MPafy = 420 MPag = 0.9
rg = 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 Interaccin 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)
gh
h
b
ePu
fc = 50 MPafy = 420 MPag = 0.9
rg = 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 Interaccin 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)
gh
h
b
ePu
fc = 55 MPafy = 420 MPag = 0.9
rg = 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 Interaccin 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)
fc = 20 MPafy = 420 MPag = 0.8
rg = 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%
gh
h
b
ePu
-
18- Diagrama de Interaccin 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)
fc = 25 MPafy = 420 MPag = 0.8
rg = 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%
gh
h
b
ePu
-
19- Diagrama de Interaccin 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)
fc = 30 MPafy = 420 MPag = 0.8
rg = 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%
gh
h
b
ePu
-
20- Diagrama de Interaccin 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)
fc = 35 MPafy = 420 MPag = 0.8
rg = 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%
gh
h
b
ePu
-
21- Diagrama de Interaccin 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)
fc = 40 MPafy = 420 MPag = 0.8
rg = 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%
gh
h
b
ePu
-
22- Diagrama de Interaccin 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)
fc = 45 MPafy = 420 MPag = 0.8
rg = 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%
gh
h
b
ePu
-
23- Diagrama de Interaccin 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)
fc = 50 MPafy = 420 MPag = 0.8
rg = 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%
gh
h
b
ePu
-
24- Diagrama de Interaccin 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)
fc = 55 MPafy = 420 MPag = 0.8
rg = 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%
gh
h
b
ePu
-
25- Diagrama de Interaccin 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)
fc = 20 MPafy = 420 MPag = 0.9
rg = 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%
gh
h
b
ePu
-
26- Diagrama de Interaccin 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)
fc = 25 MPafy = 420 MPag = 0.9
rg = 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%
gh
h
b
ePu
-
27- Diagrama de Interaccin 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)
fc = 30 MPafy = 420 MPag = 0.9
rg = 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%
gh
h
b
ePu
-
28- Diagrama de Interaccin 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)
fc = 35 MPafy = 420 MPag = 0.9
rg = 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%
gh
h
b
ePu
-
29- Diagrama de Interaccin 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)
fc = 40 MPafy = 420 MPag = 0.9
rg = 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%
gh
h
b
ePu
-
30- Diagrama de Interaccin 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)
fc = 45 MPafy = 420 MPag = 0.9
rg = 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%
gh
h
b
ePu
-
31- Diagrama de Interaccin 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)
fc = 50 MPafy = 420 MPag = 0.9
rg = 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%
gh
h
b
ePu
-
32- Diagrama de Interaccin 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)
fc = 55 MPafy = 420 MPag = 0.9
rg = 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%
gh
h
b
ePu
