# GATE2016-2-38

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

1. $\dfrac{3}{2} \\$
2. $\dfrac{8}{5} \\$
3. $\dfrac{12}{7} \\$
4. $2$

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