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Methods of Plastic Analysis - Kinematic Method - Part 1

The prismatic...

Question

The prismatic propped cantilever beam of span L and plastic moment capacity $M_{p}$ is subjected to a concentrated load at its mid-span. If the collapse load of the beam is $α \frac{M_{p}}{L}$ , the value of $α$ is_____
6

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Solution

The correct option is A 6

$- 3 M_{p} θ = - W \frac{L}{2} θ$

$\frac{6 M_{p}}{L} = W$

$∴ α = 6$

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