GATE ME 2016 Set 2 — Question 45

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NAT+2 / -0MediumThermal StressesStress, Strain & Elastic ConstantsStrength of Materials

Strength of Materials → Stress, Strain & Elastic Constants → Thermal Stresses

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Question

A circular metallic rod of length 250 mm250\text{ mm} is placed between two rigid immovable walls as shown in the figure. The rod is in perfect contact with the wall on the left side and there is a gap of 0.2 mm0.2\text{ mm} between the rod and the wall on the right side. If the temperature of the rod is increased by 200C200^\circ\text{C}, the axial stress developed in the rod is __________ MPa.
Young’s modulus of the material of the rod is 200 GPa200\text{ GPa} and the coefficient of thermal expansion is 10510^{-5} per C^\circ\text{C}.
Diagram of a rod of length 250 mm between two walls with a 0.2 mm gap on the right side
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