A cantilever of circular cross section has a diameter of 150 mm and is made from steel, which, when subjected to simple tension suffers elastic breakdown at a stress of 150 N/mm². The cantilever supports a bending moment and a torque, the latter having a value numerically equal to twice that of the former. Calculate the maximum allowable values of the bending moment and torque on the basis of the Tresca and von Mises theories of elastic failure.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)
Section: Chapter Questions
Problem 8.2.12P: Solve the preceding problem if the diameter is 480 mm, the pressure is 20 MPa, the yield stress in...
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A cantilever of circular cross section has a diameter of 150 mm and is made from steel, which, when
subjected to simple tension suffers elastic breakdown at a stress of 150 N/mm².
The cantilever supports a bending moment and a torque, the latter having a value numerically
equal to twice that of the former. Calculate the maximum allowable values of the bending moment
and torque on the basis of the Tresca and von Mises theories of elastic failure.
Ans. M=22.2 kNm, T=44.4 kNm (Tresca).
M=24.9 kNm, T=49.8 kNm (von Mises).
Transcribed Image Text:A cantilever of circular cross section has a diameter of 150 mm and is made from steel, which, when subjected to simple tension suffers elastic breakdown at a stress of 150 N/mm². The cantilever supports a bending moment and a torque, the latter having a value numerically equal to twice that of the former. Calculate the maximum allowable values of the bending moment and torque on the basis of the Tresca and von Mises theories of elastic failure. Ans. M=22.2 kNm, T=44.4 kNm (Tresca). M=24.9 kNm, T=49.8 kNm (von Mises).
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