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UPSC Civil Service Exam Questions - Engineering

Q1:

A simply supported rectangular beam of span 'L' and depth 'd' carries a central load 'W' What ratio of maximum deflection to maximum bending stress is

A L2/6Ed

B L28Ed

C L2/48Ed

D L2/12Ed

ANS:A - L2/6Ed

Max deflection = WL^3/48EI.
Max bending stress = My/I = (WL/4) x (d/2) /I.
Max defl/max bend stress = {WL^3/48EI}/{(WL/4) x (d/2) /I}.
= L^2/6Ed.