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A symmetric frame PQR consists of two inclined members PQ and QR, connected at ‘Q’ with a rigid joint, and hinged at ‘P’ and ‘R’. The horizontal length PR is l. If a weight W is suspended at ‘Q’, the bending moment at ‘Q’ is
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- Wl/2
- Wl/4
- Wl/8
- zero
Correct Option: C
VP = VR = ω/2
By symmetry,
| = | ||||
| x | l/2 |
| ∴ y = | l/2 |
Horizontal reaction for any support,
| H = | ∫y2ds |
| ⇒ H = | 8h |
BM at Q = R1 . x - H.y
| × | - | . h | ||||
| 2 | 2 | 8h |
| = | 8 |
