Question

A rod is foxed between two points at 20C the coefficient of linear expansion of material of rod is $1.1{10}^{-5}/C$ and Young's modulus is $1.2{10}^{11}N/m^2$. Find the stress developed in the rod if temperature of rod becomes $10C$

• A. $1.32{10}^{7}N/m^2$
• B. $1.10{10}^{15}N/m^2$
• C. $1.32{10}^{8}N/m^2$
• D. $1.10{10}^{6}N/m^2$

Answer 1

Answer: (A)

$1.32{10}^{7}N/m^2$

Thermal stress = $Y\alpha \Delta \theta$
$=1.2\times {10}^{11}\times 1.1\times {10}^{-5}\times (20-10)=1.32\times {10}^{7}N/m^2$