Two rods of material X sandwich another rod of material Y as shown in figure. At temperature t, the three rods are in a state of zero strailn and of length L and riveted to each other in thisstate. If the temperature of the system increases to T+DeltaT, find the final length of the system of the three rods. Given that the coefficients of linear expansions of the roods and their Young's modulus for material X and Y are alpna_(x), alpha_(y), Y_(x) and Y_(y) respectively. Consider alpha_(y)gtalpha_(x).

Two rods of material X sandwich another rod of material Y as shown in

1.	Two rods of material X sandwich another rod of material Y as shown in figure. At temperature t, the three rods are in a state of zero strailn and of length L and riveted to each other in thisstate. If the temperature of the system increases to T+DeltaT, find the final length of the system of the three rods. Given that the coefficients of linear expansions of the roods and their Young's modulus for material X and Y are alpna_(x), alpha_(y), Y_(x) and Y_(y) respectively. Consider alpha_(y)gtalpha_(x).
Answer» Answer :`L[1+(alpha_(y)Y_(y)+2alpha_(X)Y_(x))/(Y_(y)+2y_(x))DELTAT]`

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