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Question

A free bar of length l is uniformly heated from 0C to a temperature tC,α is the coefficient of linear expansion and E is modulus of elasticity. The stress developed in the bar is

A
αtE
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B
αtE2
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C
Zero
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D
lαE
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Solution

The correct option is C Zero
If a bar is free, it will expand freely on heating and no thermal stress will develop. Thermal stress gets developed only when bar is constrained.
Hence, option (c) is correct.

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