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A prismatic beam (as shown below) has plastic moment capacity of Mp, then the collapse load P of the beam is
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2MP L -
4MP L -
6MP L -
8MP L
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Correct Option: C
Degree of static indeterminacy, Ds = 0
For mechanical, no. of plastic hinges required = Ds + 1 = 1
From principle of virtual work
- MP θ - MP θ + P. | θ - | × | θ = 0 | |||
2 | 2 | 3 |
- MP θ + | θ - | θ = 0 | ||
2 | 6 |
2MP = | × | |||
2 | 6 |
= | 6 |
⇒ 2MP = | PL | 3 |
∴ P = | L |