Proyecto estructuras

Combinaciones de Cargas.-

|1) 1,4 D |
|2) 1,2 D + 1,6 L + 0,5 (Lr ó S ó R) |
|3a) 1,2 D +1,6 (Lr ó S ó R) + L |
|3b) 1,2 D + 1,6 (Lr ó S ó R) + 0,8 W |
|4) 1,2 D + 1,6 W + L + 0,5 (Lr ó S ó R) |
|5) 1,2 D + 1,4 E + L +0,2 S |
|6) 0,9 D + 1,6 W |
|7) 0,9 D + 1,4 E |
| |
|Donde: |
| |
|D= pesopropio |
|L= sobre carga de uso |
|Lr= sobrecarga de techo |
|S= sobrecarga de nieve |
|R= carga de lluvia |
|W= carga de viento|
|E= sismo |

Combinaciones básicas de cargas

C1 1.4 D

[pic]

C2 1.2 D + 1.6 L + 0.5 m * (Lr o R o S)

[pic]

[pic]

[pic]

Diagrama de Cargas:

[pic]

C3a 1.2 D + 1.6 * (Lr o R o S) + L

[pic]

[pic]

[pic]

Diagrama de Cargas:

[pic]

C3b 1.2 D + 1.6 * (Lr o R o S) + 0.8 W

[pic]

[pic]

8.08 *3.16 = 25.53 110.85 * 3.16 = 350.29
25.53 * sen 72 = 24.28 350.29 * sen 72 = 333.15
25.53 * cos 72 = 7.89 350.29 * cos 72 = 108.25

Diagrama de Cargas:

[pic]

C4 1.2 D + 1.6 W + L +0.5 * (Lr o R o S)

[pic]

[pic]
16.16 * 3.16 = 51.07 221.70 * 3.16 = 700.57
51.07 * sen 72 = 48.57 700.57 * sen 72 = 666.28
51.07 * cos72 = 15.78 700.57 * cos 72 = 216.49

[pic]

[pic]
Diagrama de cargas: [pic]

C5 1.2 D + 1.4 E + L + 0.2 S

[pic]

[pic]

Diagrama de cargas

[pic]

C6 0.9 D + 1.6 W

[pic]

[pic]
16.16 * 3.16 = 51.07 221.70 * 3.16 = 700.57
51.07 * sen 72 = 48.57 700.57 * sen 72 = 666.28
51.07 * cos 72 = 15.78 700.57 * cos 72 = 216.49

Diagrama decargas:

C7 0.9 D + 1.4 E

Diagrama de cargas

[pic]

Reacciones en los apoyos.-

C1
[ ∑Fx = 0 ]
Ha = 0

[ ∑Fy = 0 ]
(- 2450 kg * 2) – 583.97 kg/m * 6.32 m – 2590 kg/m * 6 m + VA + VB = 0
- 4900 kg - 3690.69 kg – 15540 kg + VA + VB = 0

VA + VB = 24130.69 kg

[ ∑Ma = 0 ]
(- 490 kg/m * 5 m * 6 m) – 583.97 kg/m * 6.32 m * 3 m – 2590 kg/m * 6 m * 3 m + VB * 6m = 0
-14700 kg/m-11072.07 kg/m -46620 kg/m +VB * 6 = 0

VB * 6 m = 72392.07 kg/m
VB = 72392.07 kg/m /6 m = 12065.35 kg

VA + 12065.35 kg = 24130.69 kg
VA = 12065.34 kg

C2
[ ∑Fx = 0 ]
Ha = 0

[ ∑Fy = 0 ]
(- 420 kg/m * 5 m * 2) – 560.54 kg/m * 6.32 m – 4140 kg/m * 6 m + VA + VB = 0
- 4200 kg – 3542.61 kg – 24840 kg + VA + VB = 0

VA + VB = 32582.61 kg

[ ∑Ma = 0 ]
(- 420 kg/m * 5 m * 6m) –560.54 kg/m * 6.32 m * 3 m – 4140 kg/m * 6 m * 3 m + VB * 6m = 0
- 12600 kg/m – 10627.83 kg/m – 74520 kg/m + VB * 6 m = 0

VB * 6 m = 97747.83 kg/m
VB = 97747.83 kg/m / 6 m = 16291.31kg

VA + 16291.31 kg = 32582.61 kg
VA = 16291.3 kg

C3a
[ ∑Fx = 0 ]
Ha = 0

[ ∑Fy = 0 ]
(- 420 kg/m * 5 m * 2) – 692.54 kg/m * 6.32 m – 3420 kg/m * 6 m + VA + VB = 0
- 4200 kg – 4376.85 kg – 20520 kg +VA + VB = 0

VA + VB = 29096.85 kg

[ ∑Ma = 0 ]
(- 420 kg/m * 5 m * 6 m) – 692.54 kg/m * 6.32 m * 3 m – 3420 kg/m * 6 m * 3 m + VB * 6m = 0
- 12600 kg/m – 13130.56 kg/m – 61560 kg/m + VB * 6 m = 0
VB * 6 m = 87290.56 kg/m
VB = 87290.56 kg/m / 6 m = 14548.43 kg

VA + 14548.43kg = 29096.85kg
VA = 14548.42kg

C3b
[ ∑Fx = 0 ]
(200.45 kg/m * 5 m) (100.22 kg/m * 5 m) + HA -7.89 kg+...