A solid round bar with diameter of 2 in has a groove cut to a diameter of 1.8 in, with a radius of 0.1 in. 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 25 000 lbf in. The bar is hot-rolled AISI 1095, but the groove has been machined. Determine the factor of safety for fatigue based on infinite life and the factor of safety for yielding.

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1. The steel shaft shown below has a hardness of 150 Bhn and experiences completely reversed torsion, T. The surface is machined, and a reliability of 50% is required. If a 1.5 safety factor is desired, calculate the reversed torque, T, to guarantee that the part will not fail under fatigue. 24 mm 2 mm rad. 0.8 mm rad. 20 mm 24 mm 150 Bhn

Required information A solid square rod is cantilevered at one end. The rod is 0.6 m long and supports a completely reversing transverse load at the other end of ±1.7 kN. The material is AISI 1080 hot-rolled steel. If the rod must support this load for 5 x 104 cycles with a design factor of 1.5, what dimension should the square cross section have? Neglect any stress concentrations at the support end. Determine the endurance limit for this application. Assume that the size modification factor kis 0.85 until a size for the section is known. The endurance limit is 278.4 MPa.