A uniformly tapered aluminum-alloy tube AB of circular cross section and length L is shown in the figure. The outside diameters at the ends are dA and dB 2dA. A hollow section of length L/2 and constant thickness t dA/10 is cast into the tube and extends from B halfway toward A.
(a) Find the angle of twist ( of the tube when it is subjected to torques T acting at the ends. Use numerical values as follows: dA = 2.5 in., L = 48 in., G = 3.9 ( 106 psi, and T = 40,000 in.-lb.
(b) Repeat (a) if the hollow section has constant diameter dA. (See figure part b.)
(a)

(b)

Transcribed Image Text:

t constant dB-2 dg 7 A dA