GATE Mechanical Engineering (ME) 2014 Shift 1 Solved Paper

A 200 mm long, stress free rod at room temperature is held between two immovable rigid walls. The temperature of the rod is uniformly raised by 250° C. If the Young’s modulus and coefficient of thermal expansion are 200 GPa and 1 × 10^-5/°C, respectively, the magnitude of the longitudinal stress (in MPa) developed in the rod is _______