Final answer:
The factor of safety for fatigue and yielding can be determined using the ASME elliptical criteria and comparing stress to the yield strength of the material.
Step-by-step explanation:
The factor of safety for fatigue based on infinite life can be determined using the ASME elliptical criteria. The ASME elliptical criteria use equations 6-22 through 6-25 to calculate the factor of safety. The factor of safety for yielding can be calculated by comparing the maximum stress in the bar to the yield strength of the material.