A 30.0-mm diameter shaft is subjected to cyclic combined bending and torsion loading such that M = 200P and T = 150P, where the magnitude of P varies from Pmin = −0.60Pmax to Pmax and length is measured in millimeters. The shaft is made of a stress-relieved cold-worked SAE 1060 steel (σu = 810 MPa, Y = 620 MPa, and σam = σL = 410 MPa). Using a factor of safety SF = 1.80, determine Pmax for 107 cycles of loading. Use the octahedral shear-stress criterion of failure and the Gerber relation.
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