Community Answer

【General guidance】The answer provided below has been developed in a clear step by step manner.Step1/3(a) To find the internal bending moment in the shaft as a function of x, we can use the formula for the bending moment in a simply supported beam with a point load at the center: where F is the transverse load, L is the length of the beam, and x is the distance along the beam. In this case, and x is measured from the left bearing, so we have: To find the normal stress on the top surface of the shaft as a function of a, we can use the formula for the normal stress due to bending: where c is the distance from the neutral axis to the top surface of the shaft, and I is the second moment of area. For a circular shaft with diameter d, we have: In this case, , so we have: Therefore, the normal stress on the top surface of the shaft as a function of x is: 137.7 * 50-xEXPLANATIONPlease refer to solution in this step.ExplanationHence this is the required answer Explanation:Please refer to solution in this step.Step2/3(c) To estimate the endurance limit for the rotating-beam test we can use the Soderberg relation: where k and n are material constants, and Sut is the ultimate tensile strength of the material. For AISI cold-drawn steel, we can use The fatigue strength fraction f is the ratio of the endurance limit to the ultimate tensil ... See the full answer