Let the crankshaft in Problem 16.11 be subjected to a range of load from zero to Pmax. Determine the completely reversed load Pmax that can be applied 107 times based on a factor of safety SF = 2.20. Assume that the Gerber relation is valid when expressed in terms of nominal stress values [see Eq. (a) of Example 16.4], Use the maximum shear-stress criterion of failure; therefore, assume that Sce for the fillet is the ratio τmax in the crankshaft with the fillet to τmax in the crankshaft without the fillet.
A crankshaft has a fillet and minimum diameter of 30 mm. Its critical section is subjected to a bending moment M = 200P and a torque T = 180/5, where P is a completely reversed load. The calculated stress concentrations for the fillet are for bending and for torsion. The shaft is made of a stress-relieved cold-worked SAE 1060 steel (E = 200 GPa, v = 0.29, σu = 810 MPa, Y = 620 MPa, and σam = 410 MPa for 107 cycles). Determine the completely reversed load P that can be applied 107 times based on a factor of safety SF = 2.20. Assume q = 0.85.
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