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UPSC Civil Service Exam Questions - Engineering

Q1:

A cantilever beam of span l carries a uniformly varying load of zero intensity at the free end and w per metre length at the fixed end. What does the integration of the ordinate of the load diagram between the limits of free and fixed ends of the beam give ?

A Bending moment at the fixed end

B Shear force at the fixed end

C Bending moment at the free end

D Shear force at the free end

ANS:A - Bending moment at the fixed end

THE CORRECT OPTION IS B.

The question says the integration of ordinate of load.

dF/dx=W.
dF=Wdx.

On integrating we get the shear force at the fixed end [at the free end shear force is always zero for the cantilever].