Columnas

DIAGRAMAS DE INTERACCION Pu - Mu
A. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Columnas Armadura Bordes Extremos fy = 420 MPa (1 - 16) γ = 0.8 f'c = 20 MPa γ = 0.8 f'c = 25 MPa γ = 0.8 f'c = 30 MPa γ = 0.8 f'c = 35 MPa γ = 0.8 f'c = 40 MPa γ = 0.8 f'c = 45 MPa γ = 0.8 f'c = 50 MPa γ = 0.8 f'c = 55 MPa f'c = 20 MPa f'c = 25 MPa f'c = 30 MPa f'c = 35 MPa f'c = 40 MPa f'c = 45 MPa f'c = 50 MPa f'c = 55MPa γ = 0.9 γ = 0.9 γ = 0.9 γ = 0.9 γ = 0.9 γ = 0.9 γ = 0.9 γ = 0.9

. . . . . . . . . . . . . . . .

B. 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32

. . . . . . . . . . . . . . . .

Columnas Armadura Perimetral fy = 420 MPa (17 - 32) γ = 0.8 f'c = 20 MPa γ = 0.8 f'c = 25 MPa γ = 0.8 f'c = 30 MPa γ = 0.8 f'c = 35 MPa γ = 0.8 f'c = 40 MPa γ = 0.8 f'c = 45 MPa γ = 0.8 f'c = 50 MPa γ =0.8 f'c = 55 MPa f'c = 20 MPa f'c = 25 MPa f'c = 30 MPa f'c = 35 MPa f'c = 40 MPa f'c = 45 MPa f'c = 50 MPa f'c = 55 MPa γ = 0.9 γ = 0.9 γ = 0.9 γ = 0.9 γ = 0.9 γ = 0.9 γ = 0.9 γ = 0.9

C. 33 34 35 36 37 38 39 40

. . . . . . . .

Columnas Armadura Lateral fy = 420 MPa (33 - 40) γ = 0.8 f'c = 20 MPa γ = 0.8 f'c = 25 MPa γ = 0.8 f'c = 30 MPa γ = 0.8 f'c = 35 MPa f'c = 20 MPa f'c = 25 MPa f'c= 30 MPa f'c = 35 MPa γ = 0.9 γ = 0.9 γ = 0.9 γ = 0.9

D. 41 42 43 44 45 46 47 48

. . . . . . . .

Columnas Armadura Bordes Extremos fy = 280 MPa (41 - 48) γ = 0.8 f'c = 20 MPa γ = 0.8 f'c = 25 MPa γ = 0.8 f'c = 30 MPa γ = 0.8 f'c = 35 MPa f'c = 20 MPa f'c = 25 MPa f'c = 30 MPa f'c = 35 MPa γ = 0.9 γ = 0.9 γ = 0.9 γ = 0.9

E. 49 50 51 52 53 54 55 56

. . . . . . . .

Columnas ArmaduraPerimetral fy = 280 MPa (49 - 56) γ = 0.8 f'c = 20 MPa γ = 0.8 f'c = 25 MPa γ = 0.8 f'c = 30 MPa γ = 0.8 f'c = 35 MPa f'c = 20 MPa f'c = 25 MPa f'c = 30 MPa f'c = 35 MPa γ = 0.9 γ = 0.9 γ = 0.9 γ = 0.9

F. 57 58 59 60

. . . .

Columnas Armadura Lateral fy = 280 MPa (57 - 64) γ = 0.8 f'c = 20 MPa γ = 0.8 f'c = 25 MPa γ = 0.8 f'c = 30 MPa γ = 0.8 f'c = 35 MPa

61 62 63 64

. . . .f'c = 20 MPa f'c = 25 MPa f'c = 30 MPa f'c = 35 MPa

γ = 0.9 γ = 0.9 γ = 0.9 γ = 0.9

G. 65 66 67 68 69 70 71 72

. . . . . . . .

Muros Armadura Uniformemente Distribuida fy = 420 MPa (65 - 72) γ = 1.0 f'c = 20 MPa γ = 1.0 f'c = 25 MPa γ = 1.0 f'c = 30 MPa γ = 1.0 f'c = 35 MPa γ = 1.0 f'c = 40 MPa γ = 1.0 f'c = 45 MPa γ = 1.0 f'c = 50 MPa γ = 1.0 f'c = 55 MPa

H. 73 74 75 76 77 78 79 80 .. . . . . . .

Muros Armadura Concentrada en Extremos ρ w= 0.0025 fy = 420 MPa (73 - 80) γ = 0.9 f'c = 20 MPa γ = 0.9 f'c = 25 MPa γ = 0.9 f'c = 30 MPa γ = 0.9 f'c = 35 MPa γ = 0.9 f'c = 40 MPa γ = 0.9 f'c = 45 MPa γ = 0.9 f'c = 50 MPa γ = 0.9 f'c = 55 MPa

I. 81 82 83 84 85 86 87 88 . . . . . . . .

Muros Armadura Concentrada en Extremos ρ w= 0.0050 fy = 420 MPa (81 - 88) γ = 0.9 f'c = 20MPa γ = 0.9 f'c = 25 MPa γ = 0.9 f'c = 30 MPa γ = 0.9 f'c = 35 MPa γ = 0.9 f'c = 40 MPa γ = 0.9 f'c = 45 MPa γ = 0.9 f'c = 50 MPa γ = 0.9 f'c = 55 MPa

1- Diagrama de Interacción Pu - Mu Columnas Armadura en Bordes Extremos
1.4

ρg = 8%
1.2

e/h = 0.1

0.2

0.3

0.4

h γh b

7% 6% 0.5 fs = 0

1

5% 4%

e

Pu

Pu / (f'c Ag)

0.8

3% 2%

0.6

1% 1.0

f’c = 20MPa fy = 420 MPa γ = 0.8

0.4

fs = fy
0.2

2.0

0 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 Pu / (f'c Ag) * e/h

2- Diagrama de Interacción Pu - Mu Columnas Armadura en Bordes Extremos
1.2

ρg = 8% 7%
1

e/h = 0.1

h 0.2 0.3 0.4 0.5 b γh

6% 5%
0.8

fs = 0 e

Pu

4% 3%

Pu / (f'c Ag)

0.6

2% 1% 1.0

f’c = 25 MPa fy = 420 MPa γ = 0.8

0.4

fs = fy
0.2

2.0

0 00.1 0.2 0.3 0.4 0.5 0.6 0.7 Pu / (f'c Ag) * e/h

3- Diagrama de Interacción Pu - Mu Columnas Armadura en Bordes Extremos
1.2

e/h = 0.1 ρg = 8% 7% 6%
0.8

0.2

0.3

h 0.4 b γh

1

0.5 fs = 0 e

Pu

5% 4%

Pu / (f'c Ag)

3%
0.6

2% 1% 1.0

f’c = 30 MPa fy = 420 MPa γ = 0.8

0.4

fs = fy
0.2

2.0

0 0 0.1 0.2 0.3 Pu / (f'c Ag) * e/h 0.4 0.5 0.6

4- Diagrama...