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UPSC Civil Service Exam Questions - Engineering

Q1:

A cantilever beam 'A' with rectangular cross-section is subjected to a concentrated load at its free end. If width and depth of another cantilever beam 'B' are twice those of beam A, then the deflection at free end of the beam 'B' as compared to that of 'A' will be

A 6.25%

B 14%

C 23.6%

D 28%

ANS:A - 6.25%

The deflection formula for cantilever with a point load at the end ( WL^2/2EI ).

When B and D changes, change in I happens.

I= BD^3/12.
Now if B and D double so the quantity becomes 16 times more.
So, (1/16 X 100) = 6.25%.