Civil Engineering MCQAE Level Civil Engineering
Find the maximum bending stress at the fixed end of a cantilever of span L carrying a vertical point load P at the free end. The cross-section is a square of side a placed with its diagonal vertical.
Strength of MaterialsStrength of MaterialsMEDIUM
Choose the correct answer
A
6√2 PL/a³
B
6 PL/a³
C
12√2 PL/a³
D
12 PL/a³
Correct Answer
A. 6√2 PL/a³
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M = PL; I = a⁴/12; extreme fibre y = a/√2; Z = a³√2/12 ⇒ σ = PL/Z = 12PL/(√2 a³) = 6√2 PL/a³.
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This MCQ belongs to WBPSC AE Previous Years Questions Series. Full tests include timed attempts, rank comparison and subject-wise analysis.