Civil Engineering MCQAE Level Civil Engineering

For a propped cantilever of span L (fixed at A, prop at B) with plastic moment M_p, the collapse load for a concentrated load W at midspan is:

Structural AnalysisCollapse Load Propped CantileverMEDIUM

Choose the correct answer

4M_p/L

6M_p/L

8M_p/L

2M_p/L

B. 6M_p/L

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Two hinges form: at fixed end A and at midspan C. Virtual work: W × (L/2)θ = M_p×2θ + M_p×θ = 3M_pθ. Hence W = 6M_p/L.

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