First slide
Elastic Modulie
Question

Two rods of different materials having coefficients of linear expansion a1 and a2 and Young's moduli, Y1 and Y2, respectively, are fixed between two rigid massive walls. The rods are heated such that they undergo the same increase in temperature. There is no bending of rods. If α1/α2 = 2/3, then the thermal stresses developed in the two rods are equal, provided Y1/Y2 is equal to 

Easy
Solution

Thermal stress = Y α t

            In the given problem, 

            Yα = constantY1Y2=α2α1=32

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