MecMovies 4.0 : M5.13: Rod and Post with Temperature Change

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The figure shows a post B C labeled 2 of height 200 millimeters attached to a rigid support at C. A cylindrical rod A B labeled 1 of height 400 millimeters is fixed to the post by a flange at B. The rod is fixed to a rigid support at A.

The supports at $A$ and $C$ ensure that the overall length of the structure will not change. Therefore, the deformation of members $(1)$ and $(2)$ must sum to zero.

$δ_{1} + δ_{2} = 0$

This relationship is called the geometry of deformation equation.