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

The figure shows a rod between rigid walls on the left and right. The rod is screwed into the wall and bolted firmly on the right. The distance between the left end of the rod and the rigid wall on the left is marked contraction due to temperature decrease.

A decrease in temperature causes the steel rod to contract (i.e., get shorter). If the rod were not connected to rigid walls, the steel rod would contract freely, without inducing any forces or stresses.