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

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

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

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%

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