The load P in Problem 16.9 is cycled from zero to Pmax. Determine the magnitude of Pmax fo...

The load P in Problem 16.9 is cycled from zero to Pmax. Determine the magnitude of Pmax for 108 cycles based on a factor of safety SF = 1.75. Material properties are given in Problem 16.5. Assume that q = 0.90 and that the Gerber relation is valid when expressed in terms of nominal stress values [see Eq. (a) of Example 16.4], Since the state of stress at the hole is uniaxial, we define Scc for the stress concentration as the ratio of σmax for the crankshaft with the hole to σmax for the crankshaft without the hole.

Eq. (a) of Example 16.4

The crankshaft in Figure P16.5 has a diameter d = 13.0 nun. Let a small-diameter hole be drilled in the crankshaft at a location 50 mm from the load P (measured along the axis of the shaft). Determine the magnitude of the completely reversed load P that can be cycled 108 times based on a factor of safety SF = 1.75. Assume that q = 1.00. Material properties are given in Problem 16.5.

A shaking mechanism of a machine has a crank shown in Figure P16.5. The crank is made of a stress-relieved cold-worked SAE .1040 steel (σu = 830 MPa, Y = 660 MPa, and σam = σL = 380 MPa). A completely reversed load P = 500 N is applied for up to 108 cycles to the crank pin, normal to the plane of the crank. Determine the diameter d of the shaft based on a factor of safety SF = 1.75 .using the octahedral shear-stress criterion of failure.

FIGURE P16.5