When a circular bar tapering uniformly from diameter d₁, at one end to diameter d₂ at the other end, is subjected to an increase in temperature (t), then the thermal stress induced is (where $$\alpha $$ = Coefficient of linear expansion and E = Modulus of elasticity for the bar material)

A) $$\frac{{\alpha {\text{tE}}{{\text{d}}_1}}}{{{{\text{d}}_2}}}$$ B) $$\frac{{\alpha {\text{t}}{{\text{d}}_1}}}{{{\text{E}}{{\text{d}}_2}}}$$ C) $$\frac{{\alpha {\text{t}}{{\text{d}}_2}}}{{{\text{E}}{{\text{d}}_1}}}$$ D) $$\frac{{{\text{t}}{{\text{d}}_1}}}{{\alpha {\text{E}}{{\text{d}}_2}}}$$

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Correct Answer: Option A

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When a circular bar tapering uniformly from diameter d1 at one...

When a circular bar tapering uniformly from diameter d1, at one end to diameter d2 at the other end, is subjected to an increase in temperature (t), then the thermal stress induced is (where $$\alpha $$ = Coefficient of linear expansion and E = Modulus of elasticity for the bar material)

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When a circular bar tapering uniformly from diameter d₁, at one end to diameter d₂ at the other end, is subjected to an increase in temperature (t), then the thermal stress induced is (where $$\alpha $$ = Coefficient of linear expansion and E = Modulus of elasticity for the bar material)