GATE ME 2016 Set 2 — Question 45
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Strength of Materials → Stress, Strain & Elastic Constants → Thermal Stresses
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Question
A circular metallic rod of length 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 between the rod and the wall on the right side. If the temperature of the rod is increased by , the axial stress developed in the rod is __________ MPa.Young’s modulus of the material of the rod is and the coefficient of thermal expansion is per .

Correct answer
239 to 241
Solution
1.Calculate free thermal expansion: .
2.Compare with the gap: Since , the rod will expand to close the gap and then develop compressive stress.
3.Expansion restricted by the walls: .
4.Calculate axial stress: .
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