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A steel rod of length L and diameter D, fixed at both ends, is uniformly heated to a temperature rise of ∆T. The Young's modulus is E and the coefficient of linear expansion is α. The thermal stress in the rod is
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- 0
- α∆T
- Eα∆T
- Eα∆TL
Correct Option: C
Since rod is free to expand, therefore ΔL = elongation = LαΔt
| ∴ | = strain = αΔt | |
| L |
Thermal stress = EαΔt
Since rod is fixed at both ends, so thermal strain will be zero but there will be thermal stresses.
