GATE ME 2014 Set 3 — Question 16
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Machine Design → Static & Dynamic Loading → Fatigue, S-N Diagram & Endurance
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Question
A rotating steel shaft is supported at the ends. It is subjected to a point load at the center. The maximum bending stress developed is 100 MPa. If the yield, ultimate and corrected endurance strength of the shaft material are 300 MPa, 500 MPa and 200 MPa, respectively, then the factor of safety for the shaft is _______
Correct answer
1.9 to 2.1
Solution
For a rotating shaft subjected to a stationary point load, any point on the outer fiber of the shaft experiences a stress that alternates between a maximum tensile stress () and a maximum compressive stress () during each revolution. This is a case of completely reversed stress.Given:
Maximum bending stress, MPa
Minimum bending stress, MPa
Mean stress,
Stress amplitude, MPa
Corrected endurance strength, MPaSince the mean stress is zero, the factor of safety () is calculated using the endurance limit:
Maximum bending stress, MPa
Minimum bending stress, MPa
Mean stress,
Stress amplitude, MPa
Corrected endurance strength, MPaSince the mean stress is zero, the factor of safety () is calculated using the endurance limit:
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