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Build upon the results of problem 3-80 to determine the minimum factor of safety for fatigue based on infinite life, using the modified Goodman criterion. The shaft rotates at a constant speed, has a constant diameter of \( 20 \mathrm{~mm} \), and is made from cold 1018 steel. From problem 3-80, the critical stress element experiences \( \sigma=55.5 \mathrm{MPa} \) and \( T=20 \mathrm{MPa} \). The minimum factor of safety for fatigue is