GATE ME 2016 Set 2 — Question 48
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Machine Design → Static & Dynamic Loading → Goodman, Soderberg & Gerber
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Question
In a structural member under fatigue loading, the minimum and maximum stresses developed at the critical point are 50 MPa and 150 MPa, respectively. The endurance, yield, and the ultimate strengths of the material are 200 MPa, 300 MPa and 400 MPa, respectively. The factor of safety using modified Goodman criterion is
Correct answer
(D) 2
Solution
Given:
MPa, MPa
MPa, MPa, MPaCalculate mean stress () and amplitude stress ():
MPa
MPaModified Goodman Criterion consists of two lines:
MPa, MPa
MPa, MPa, MPaCalculate mean stress () and amplitude stress ():
MPa
MPaModified Goodman Criterion consists of two lines:
1.Goodman line:
2.Yield line (Langer line):
Since both criteria yield , the factor of safety is 2.Continue learning with Success Tracker
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