Question

A steel rod is clamped at its two ends and rests on a fixed horizontal base. The rod is in natural length at ${20}^{\circ }C$. Find the longitudinal strain developed in the rod if the temperature rises to ${50}^{\circ }C$.
Coefficient of linear expansion of steel $=1.2\times {10}^{-6}{/}^{\circ }C$.

• A. $3.6\times {10}^{-4}$
• B. $3.6\times {10}^{-5}$
• C. $6\times {10}^{-4}$
• D. $2.4\times {10}^{-5}$

Answer 1

The correct option is B $3.6\times {10}^{-5}$

Longitudinal strain is given by: $S=\alpha \Delta \theta$
$S=1.2\times {10}^{-6}\times (50-20)=3.6\times {10}^{-5}$