Asolid round bar with diameter of 50-mm has a groove cut to a diameter of 45-mm, with a radius of 2.5-mm. the bar is not rotating. the bar is loaded with a repeated bending load that causes the bending moment at the groove to fluctuate between 0 and 2825 n-m. the bar is hot-rolled aisi 1095, but the groove has been machined. a) determine the factor of safety for fatigue based on infinite life and b) determinethe factor of safety for yielding.