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. $$\frac{{{\text{t}}{{\text{d}}_1}}}{{\alpha {\text{E}}{{\text{d}}_2}}}$$
Answer: Option A
This Question Belongs to Mechanical Engineering >> Strength Of Materials In ME
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