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Vertical reaction developed at B in the frame below due to the applied load of 100 kN (with 150,000 mm2 cross-sectional area and 3.125 × 109 mm2 moment of inertia for both members) is
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- 5.9 kN
- 302 kN
- 66.3 kN
- 94.1 kN
Correct Option: A
Due to load P, the member AC undergo compression
Let the reaction at C = R
Thus the remaining vertical force is 100 – R. It is taken up by AB at B
Deflection at A along AC = deflection at A for cantilever AB.
| ⇒ | = | |||
| AE | 3EI |
| = | ||||
| 150000 × E | 3 × 3.125 × 109 |
| = | ||||
| R | 10003 × 150000 |
∴ R = 94.1 kN
∴ Reaction at B = 100 – R = 5.9 kN
