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A propped cantilever of span L is carrying a vertical concentrated load acting at mid span. The plastic moment of the section is Mp. The magnitude of the collapse load is
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8MP L -
6MP L -
4MP L -
2MP L
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Correct Option: B
Bending moment diagram.
Let P be the load on the prop at collapse, then equating the numerical value of BM at fixed end and centre.
| MP = Wc × | - Pl | 2 |
| p = | 2 |
| ∴ MP = Wc | - | |||
| z | 3 |
| = | 6 |
| ∴ Wc = | L |
