The GATE Grind

GATE 2019 ME (ME1) – Question 32

Machine Design · Fatigue strength and S-N diagram · 1 mark · Numerical answer

A high-cycle fatigue specimen has mean cyclic stress +140 MPa and minimum stress −70 MPa. Find R-ratio (minimum/maximum stress), to one decimal place.

Practise this question in The GATE Grind →

Show answer and explanation

Correct answer: -.2 to -.2

Explanation

From $\sigma_m=(\sigma_{\max}+\sigma_{\min})/2$, the maximum stress is $2(140)-(-70)=350$ MPa. Hence $R=-70/350=\mathbf{-0.2}$.