UPSC Civil Service Exam Questions - Engineering

Q1:

As elastic bar of length 'l', cross-sectional area A, Young's modulus of elasticity E and self-weight W is hanging vertically. It is subjected to a load P applied axially at the bottom end. The total elongation of the bar is given by.

A WI/AE + PI/AE

B WI/2AE + PI/AE

C WI/2AE + PI/2AE

D WI/AE + PI/2AE

ANS:B - WI/2AE + PI/AE

Elongation due to selfweight= wl^2/E.
Elongation due to axial=pl/AE.