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
A
4M_p/L
B
6M_p/L
C
8M_p/L
D
2M_p/L
Correct Answer
B. 6M_p/L
Why is this the answer?
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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