A hollow tube ABCDE constructed of monel metal is subjected to five torques acting in the directions shown in the figure. The magnitudes of the torques are T1 = 1000 lb-in., T2 = T4 = 500 lb-in., and T3 = T5 = 800 lb-in. The tube has an outside diameter d2 = 1.0 in. The allowable shear stress is 12,000 psi and the allowable rate of twist is 2.0°/ft.
Determine the maximum permissible inside diameter d1 of the tube.

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T3 = Tg = T5 1000 Ib-in. 500 lb-in. 800 Ib-in. 500 b-n. 800 lb-in. d,-1.0 in.