A shaft made of steel has the following minimum properties Se = 264 MPa, Sy = 413 MPa, and Sut = 536 MPa. The shaft is transmitting fixed torsional stress of 155 MPa and is subject to an alternating bending stress of 74 MPa.   Find the factor of safety guarding against fatigue failure using Modified Goodman criterion.

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 8.5.32P
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A shaft made of steel has the following minimum properties Se = 264 MPa, Sy = 413 MPa, and Sut = 536 MPa.
The shaft is transmitting fixed torsional stress of 155 MPa and is subject to an alternating bending stress of 74 MPa.
 
Find the factor of safety guarding against fatigue failure using Modified Goodman criterion.
 
accepted answer range (+/- 0.2).
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