A 5-m-long solid bronze [G=45 GPa] shaft must carry a uniformly distributed torsional loading of 35 kN-m/m along its full length. The angle of twist of the shaft is limited to 0.05 rad, and the maximum allowable shear stress is limited to 120 MPa. What is the minimum diameter required for the shaft? (Integration is necessary)

Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN:9781305970939
Author:Braja M. Das, Khaled Sobhan
Publisher:Braja M. Das, Khaled Sobhan
Chapter15: Slope Stability
Section: Chapter Questions
Problem 15.28P
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A 5-m-long solid bronze [G=45 GPa] shaft must carry a
uniformly distributed torsional loading of 35 kN-m/m
along its full length. The angle of twist of the shaft is
limited to 0.05 rad, and the maximum allowable shear
stress is limited to 120 MPa. What is the minimum
diameter required for the shaft? (Integration is necessary)
Transcribed Image Text:A 5-m-long solid bronze [G=45 GPa] shaft must carry a uniformly distributed torsional loading of 35 kN-m/m along its full length. The angle of twist of the shaft is limited to 0.05 rad, and the maximum allowable shear stress is limited to 120 MPa. What is the minimum diameter required for the shaft? (Integration is necessary)
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