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UPSC Civil Service Exam Questions - Engineering

Q1:

A bar of circular cross-section varies uniformly from a cross-section 2D to D. If extension of the bar is calculated treating it as a bar of average diameter, then the percentage error will be

A 10

B 25

C 33.33

D 50

ANS:B - 25

Yes, the correct option is A.
4PL/π*Ed1d2
4PL/π*E(2D^2).

Proportional to 1/2;
and PL/AE.

4PL/π*E(1.5x1.5D^2).
Proportional to 1/2.25.
error (1/2-1/2.25)/1/2.
11.11 per cent.