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A composite bar of length L=L(1)+L(2) is...

A composite bar of length `L=L_(1)+L_(2)` is made from a bar of material 1 and length `L_(1)` attached to a bar of material 2 and length `L_(2)`. Find the effective linear expansion `alpha` of this bar.The coefficinets of linear expansion of the material of the rods are `alpha_(1)` and `alpha_(2)` respectively.

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The correct Answer is:
`(alpha_(1)L_(1)+alpha_(2)+alpha_(2)L_(2))/(L_(1)+L_(2))`
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