Prob. 3.6-8. A steel pipe with outer diameter d, and inner

diameter d,, and a solid aluminum-alloy rod of diameter d

form a three-segment system. When the system is welded to

rigid supports at A and D, it is stress free. Subsequently, the

aluminum rod is cooled by 100°F (i.e., AT₂ = AT3 =

-100°F), while AT, = 0. Determine the axial stresses 0₁, 02.

and or, in the elements.

do 2 in.. d, 1.5 in.. d= 0.75 in.

L₁ L₂= 30 in.. L = 50 in.

E₁ = 30 x 10³ ksi, E₂2 = E3 = 10 x 10³ ksi

a₂ = ay = 6.5 x 10/F

A

(1)

B

#₂

(2)

uc

(3)

P3.6-8, P3.8-6, and P3.9-9