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Two rods of material X sandwich another ...

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 this state. 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)`.

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The correct Answer is:
`L[1+(alpha_(y)Y_(y)+2alpha_(x)Y_(x))/(Y_(y)+2y_(x))DeltaT]`
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