GATE ME 2021 Set 1 — Question 64
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Machine Design → Static & Dynamic Loading → Goodman, Soderberg & Gerber
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Question
A machine part in the form of cantilever beam is subjected to fluctuating load as shown in the figure. The load varies from to . The modified endurance, yield and ultimate strengths of the material are , and , respectively.
All dimensions are in The factor of safety of the beam using modified Goodman criterion is _______ (round off to one decimal place).

Correct answer
1.9 to 2.1
Solution
1.Calculate Mean and Alternating Loads:
, 2.Calculate Stresses at the support ():
Bending moment Section modulus
3.Apply Modified Goodman Criterion:
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