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GATE 2019 MT – Question 60

Mechanical Behaviour of Materials · Fatigue · 2 marks · Numerical answer

The steel S–N curve shown has an endurance stress amplitude of 300 MPa. With stress ratio σmin/σmax=−0.8, find maximum stress for infinite fatigue life in MPa (nearest integer).

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Correct answer: 330 to 335

Explanation

Stress amplitude is $\sigma_a=(\sigma_{max}-\sigma_{min})/2=\sigma_{max}(1-R)/2$. With R=−0.8 and the plotted endurance amplitude 300 MPa, $\sigma_{max}=2(300)/1.8=333.3$ MPa, or 333. This uses the given S–N curve without an additional mean-stress correction.

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