question archive A uniformly tapered aluminum-alloy tube AB of circular cross section and length L is shown in the figure

A uniformly tapered aluminum-alloy tube AB of circular cross section and length L is shown in the figure

Subject:Mechanical EngineeringPrice: Bought3

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 dand 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 φ 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.

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