A metal bar of length L and area of cross-section A is rigidly champed between two walls. The Young's modulus of its material is Y and the coefficient of linear expansion is `alpha`. The bar is heated so that its temperature is increased by `theta^(@)C`. Find the force exerted at the ends of the bar.

Explanation

`Y=(Fxx)/(A xx DeltaL) or F=YA(Delta L)/(L)`,
Also `Delta L = L alpha theta`
`:. F=YA L alpha theta/L=YA alpha theta`
`:. F= YA L alpha theta//L = YA alpha theta`.