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Two uniform bars of length L1 and L2 with the coefficient of linear expansion α1 and α2 are joined to form a longer rod of length L1 + L2 . The effective coefficient of linear expansion of the composite bar is
delta l1 = l1 * a1 * deltatheta
similarylfor other one
combining both we get
alpha effective = ((alpa1 * l1 + alpha 2 * l2 ))/(l1+l2)
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