Two elastic rods are joined between fixed supports as shown in the figure. The condition for no change in the lengths of individual rods with the increase of temperature is: (α1,α2 = linear expansion coefficient, A1, A2 = area of rods, Y1,Y2 = Young's modulus)

A1/A2 = (α1 * Y1) / (α2 * Y2)

A1/A2 = (L1 * α1 * Y1) / (L2 * α2 * Y2)

A1/A2 = (L2 * α2 * Y2) / (L1 * α1 * Y1)

A1/A2 = (α2 * Y2) / (α1 * Y1)

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