A concentric shaft AB made of hollow bronze (OD = 100 mm, ID = 80 mm, G = 41 GPa) and solid steel (D = 80 mm, G = 80 GPa) is attached by a flanged bolt coupling at B to a solid aluminum shaft BC (D=90 mm, G = 28 GPa) which is then attached to a hollow brass shaft CD (OD = 100 mm, ID = 80 mm, G = 40 GPa). The whole shaft is fixed at ends A and D. The bolt coupling has a mismatch of 0.5 degree. Torque T is applied at C while a torque of 0.3T is being removed at B at the right flange plate. The bolt coupling has a bolt circle diameter of 120 mm and uses 15 bolts in which 3/5 are 50-mm in diameter and 2/5 are 25 mm in diameter. Determine the maximum permissible torque T that can be applied given the following allowable shear stresses: Thronze = 70 MPa, Usteel = 110 MPa, Taluminum = 60 MPa, Thrass = 55 Mpa, and Tholts = 75 MP.

A concentric shaft AB made of hollow bronze (OD = 100 mm, ID = 80 mm, G = 41 GPa) and solid steel (D = 80 mm, G = 80 GPa) is attached by a flanged bolt coupling at B to a solid aluminum shaft BC (D=90 mm, G = 28 GPa) which is then attached to a hollow brass shaft CD (OD = 100 mm, ID = 80 mm, G = 40 GPa). The whole shaft is fixed at ends A and D. The bolt coupling has a mismatch of 0.5 degree. Torque T is applied at C while a torque of 0.3T is being removed at B at the right flange plate. The bolt coupling has a bolt circle diameter of 120 mm and uses 15 bolts in which 3/5 are 50-mm in diameter and 2/5 are 25 mm in diameter. Determine the maximum permissible torque T that can be applied given the following allowable shear stresses: Thronze = 70 MPa, Usteel = 110 MPa, Taluminum = 60 MPa, Thrass = 55 Mpa, and Tholts = 75 MP.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.3.17P: A stepped shaft ABC consisting of two solid, circular segments is subjected to torques T}and...

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