A solid 57-mm-diameter cold-rolled brass [G = 42.3 GPa) shaft that is 1.35 m long extends through and is completely bonded to a hollow aluminum [G= 22.4 GPa] tube. Aluminum tube (1) has an outside diameter of 79 mm, an inside diameter of 57 mm, and a length of 0.84 m. Both the brass shaft and the aluminum tube are securely attached to the wall support at A. Assume L₁-L₂=0.84 m, L3= 0.51 m, TB = 19 kN-m, and Tc= 8 kN-m. When the two torques shown are applied to the composite shaft, determine: (a) the maximum shear stress magnitude 7₁ in aluminum tube (1). (b) the maximum shear stress magnitude 7₂ in brass shaft segment (2). (c) the maximum shear stress magnitude 73 in brass shaft segment (3). (d) the rotation angle of joint B. (e) the rotation angle Pc of joint C. (1) B TB Tc X

A solid 57-mm-diameter cold-rolled brass [G = 42.3 GPa) shaft that is 1.35 m long extends through and is completely bonded to a hollow aluminum [G= 22.4 GPa] tube. Aluminum tube (1) has an outside diameter of 79 mm, an inside diameter of 57 mm, and a length of 0.84 m. Both the brass shaft and the aluminum tube are securely attached to the wall support at A. Assume L₁-L₂=0.84 m, L3= 0.51 m, TB = 19 kN-m, and Tc= 8 kN-m. When the two torques shown are applied to the composite shaft, determine: (a) the maximum shear stress magnitude 7₁ in aluminum tube (1). (b) the maximum shear stress magnitude 7₂ in brass shaft segment (2). (c) the maximum shear stress magnitude 73 in brass shaft segment (3). (d) the rotation angle of joint B. (e) the rotation angle Pc of joint C. (1) B TB Tc X

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.2.17P: A hollow, circular, cast-iron pipe (Ec =12,000 ksi) supports a brass rod (Ec= 14,000 ksi} and weight...

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