A cylindrical rod AB is made of aluminum is connected at B to a brass cylindrical rod BCD as shown in Figure 8. The shear modulus, G of aluminum rod AB is given by 27 GPa and the brass rod BCD of 39 GPa. The torsional reactions, TA and TB are located at the ends of A and B, respectively. Given the portion CD of the brass rod is hollow and has an inner diameter of 40 mm, examine the angle of twist at A. 60 mm Tg = 1600 N . m 36 mm TA 800 N. m = 250 mm B 375 mm A 400 mm Figure 8

A cylindrical rod AB is made of aluminum is connected at B to a brass cylindrical rod BCD as shown in Figure 8. The shear modulus, G of aluminum rod AB is given by 27 GPa and the brass rod BCD of 39 GPa. The torsional reactions, TA and TB are located at the ends of A and B, respectively. Given the portion CD of the brass rod is hollow and has an inner diameter of 40 mm, examine the angle of twist at A. 60 mm Tg = 1600 N . m 36 mm TA 800 N. m = 250 mm B 375 mm A 400 mm Figure 8

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 3.3.2P: A solid copper bar of circular cross section has length L = 1.25 m and shear modulus of elasticity G...

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A solid copper bar of circular cross section has length L = 1.25 m and shear modulus of elasticity G = 45 GPa. The bar is designed to carry a 250 N · m torque acting at the ends. If the allowable shear stress is 30 M Pa and the allowable angle of twist between the ends is 2.5°, what is the minimum required diameter?
A tubular bar with outside diameterd2= 4.0 in, is twisted by torques T = 70,0 kip-in. (see figure). Under the action of these torques, the maximum tensile stress in the bar is found to be 6400 psi. Determine the inside diameter rtf of the bar. If the bar has length L = 48.0 in. and is made of aluminum with shear modulus G = 4,0 × 106 psi, what is the angle of twist d (in degrees) between the ends of the bar? (c) Determine the maximum shear strain y (in radians)?
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