20-mm  diameter steel rod         A=314.16 mm2         E=200 GPa    α=12.0×10-6/C

The figure shows a rod attached to rigid walls on the left and right. The rod is screwed into the wall and bolted firmly on the right. A 15 millimeters diameter bolt connects the rod to a rigid wall on the left.

Consider the overall geometry of the assembly and how that geometry dictates the deformation that can occur.

Since the assembly is connected to rigid walls (meaning that the walls do not move), the overall deformation must equal zero. In other words, δ=0.