The axial assembly consists of a solid 1-in-diameter aluminum alloy [E = 10400 ksi, v= 0.28, a = 13.1 x 10-6/°F] rod (1) and a

solid 1.44-in-diameter bronze [E = 16300 ksi, v=0.2, a = 7.8 x 10-6/°F] rod (2). Assume L₁-17 in., L₂=20 in. If the supports at A and C

are rigid and the assembly is stress free at 0°F, determine:

(a) the normal stresses 0₁, 02 in both rods at 153°F (positive if tensile, negative if compressive).

(b) the displacement ug of flange B (positive if to the right, negative to the left).

(c) the change in diameter Ad, of the aluminum rod.

Answers:

(a) σ₁ =

(b) ug =

(c) Ad₁ =

i

i

L₁

B

L2

in.

ksi, 0₂ = i

2

in.

ksi