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Mechanical Engineering QUESTION #2505
Question 1
The modified Goodman criterion for fatigue failure under combined mean stress \(\sigma_m\) and alternating stress \(\sigma_a\) is:
  • \(\frac{\sigma_a}{S_e} + \frac{\sigma_m}{S_y} = n\)
  • \(\frac{\sigma_a}{S_e} + \frac{\sigma_m}{S_{ut}} = \frac{1}{n}\)✔️
  • \(\frac{\sigma_a}{S_e} - \frac{\sigma_m}{S_{ut}} = \frac{1}{n}\)
  • \(\frac{\sigma_a}{S_y} + \frac{\sigma_m}{S_e} = \frac{1}{n}\)
Correct Answer Explanation
The modified Goodman criterion: \(\frac{\sigma_a}{S_e}+\frac{\sigma_m}{S_{ut}}=\frac{1}{n}\), where \(S_e\) is the endurance limit and \(S_{ut}\) is the ultimate tensile strength.