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Mechanical Properties of Solids
Thermal Stress in a Rod
1 question from 1 paper, each with its answer.
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- Compressive force due to prevented thermal expansion
All Questions
2024 1 question
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A metallic bar of Young's modulus, $0.5\times10^{11}$ N m$^{-2}$ and coefficient of linear thermal expansion $10^{-5}\ ^\circ C^{-1}$, length 1 m and area of cross-section $10^{-3}$ m$^2$ is heated from $0^\circ C$ to $100^\circ C$ without expansion or bending. The compressive force developed in it is:Thermal stress force $F = YA\alpha\Delta\theta$ $= 0.5 \times 10^{11} \times 10^{-3} \times 10^{-5} \times 100$ $= 50 \times 10^3$ N
