A steel rod of length L and diameter D, fixed at both ends, is uniformly heated to a temperature rise of δT. The Youngs modulus is E and the coefficient of linear expansion is unity. The thermal stress in the rod is ____________

A steel rod of length L and diameter D, fixed at both ends, is uniformly heated to a temperature rise of δT. The Youngs modulus is E and the coefficient of linear expansion is unity. The thermal stress in the rod is ____________ Correct Answer EδT

As α = δl / l δT So, δl = l x 1 x δT And temperature strain = δl / l = δT As E = stress / strain Stress = E δT.

Related Questions

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)