EM 324 Session 9 – Thermal Effects

1) The assembly has the diameters and material indicated. If it fits securely beween its

fixed supports when the temperature is T1 = 70oF, determine the average normal stress

in each material when the temperature reaches T2 = 110oF.

AB: E = 10.6*106 psi, α = 12.8

BC: E = 15*106 psi, α = 9.6

CD: E = 28*106 psi, α = 9.6

2) The two cylindrical rod segments are fixed to the rigid walls such that there is a gap of

0.01 in between them when T1 = 60 °F . Each rod has a diameter of 1.25 in. Determine

the average normal stress in each rod if T2 = 400 °F and Calculate the new length of the

aluminum segment. Take αal = 13(10-6) /°F , Eal = 10(103) ksi , (σY)al = 40 ksi , αcu =

9.4(10?6) / °F , (σY)cu = 50 ksi , and Ecu = 15(103) ksi .