For a machined steel shaft shoulder the small diameter d is 1 inch, the large diameter d is 2 inch, and the fillet radius is 0.1 in. the bending moment on the shaft is 1300 lbf. in and the bending moment rotates with the shaft. the torsion moment on the shaft varies between 0 lbf. in and 2200 lbf. in. there is a steady axial load of 1000 lbf that also applies on the shaft axis. the shaft has an ultimate tensile strength of sur-105 kpsi and a yiled strength of sy-82 kpsi and assume a fatigue reliability of 99.9%. fo for endurance limit calculation except reliability factor is equal to i r this specific problem assume all the correction factors a) determine the fatigue factor of safety using de-goodman criteria b) determ ine the yielding factor of safety based on distortion energy theory.