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Methods of Plastic Analysis - Kinematic Method - Part 1

A propped can...

Question

A propped cantilever of span L carries a vertical concentrated load at the mid-span. If the plastic moment capacity of the section is Mp, the magnitude of the collapse load is _______.

A

\frac{4 M_{p}}{L}

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B

\frac{8 M_{p}}{L}

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C

\frac{2 M_{p}}{L}

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D

\frac{6 M_{p}}{L}

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Solution

The correct option is D $\frac{6 M_{p}}{L}$

$3 M_{p} θ = \frac{P L}{2} θ$

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

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