-
In a redundant joint model, three bar members are pin connected at Q as shown in the figure. Under some load placed at Q, the elongation of the members MQ and OQ are found to be 48 mm and 35 mm respectively. Then the horizontal displacement u and the vertical displacement v of the node Q, in mm, will be respectively.
-
- –6. 64 and 56.14
- 6.64 and 56.14
- 0.0 and 59.41
- 59.41 and 0.0
Correct Option: B
| tanθ1 = | = 0.8 | 500 |
∴ θ1 = 38.66°
| tanθ2 = | = 1 | 500 |
∴ θ2 = 45°
Along MQ,
u sin 38.66° + v cos 38.66° = 48
Along OQ
–u sin 45° + v cos 45° = 35
Solving, for u and v, we get
u = 6.64 mm, v = 56.14 mm
