3. A cylindrical rod is composed of two pieces of different diameters. Both pieces are made of the same material. Torques are applied at points B and D, with the directions shown below. The magnitudes of the torques are Tg = 4000 in-lb, Tp = 3000 in-lb. JAC = 4 in L = 10 in. JcD = 2 in GẠC = GCD = G = 10 × 10° psi Determine the twist of point B, Ør, and the twist of point D, øp, relative to the wall at A. Note definition for + and – twist, shown to the right. Ans: = -0.25x10³ radians, øp = 2.0×10³ radians A D Tp IB Fixed to wall

3. A cylindrical rod is composed of two pieces of different diameters. Both pieces are made of the same material. Torques are applied at points B and D, with the directions shown below. The magnitudes of the torques are Tg = 4000 in-lb, Tp = 3000 in-lb. JAC = 4 in L = 10 in. JcD = 2 in GẠC = GCD = G = 10 × 10° psi Determine the twist of point B, Ør, and the twist of point D, øp, relative to the wall at A. Note definition for + and – twist, shown to the right. Ans: = -0.25x10³ radians, øp = 2.0×10³ radians A D Tp IB Fixed to wall

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter3: Torsion

Section: Chapter Questions

Problem 3.4.5P: A hollow tube ABCDE constructed of monel metal is subjected to five torques acting in the directions...

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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 of 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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