A2-in. diameter solid round bar has a groove machined on its surface (see page 1046 in the textbook). the radius of the groove is 0.1 in. the bar is loaded in cyclic bending that causes the bending moment at the groove to fluctuate between 0 and 25,000 lb. in. the bar material is a hot-rolled sae 1095 steel. using the goodman criterion, determine the factor of safety for infinite life.