Using the Goodman fatigue criterion, repeat Problem 864 with the working pressure cycling between 1200 psi and

Using the Goodman fatigue criterion, repeat Problem 8–64 with the working pressure cycling between 1200 psi and 2000 psi?

Problem 8-64, The figure shows a fluid-pressure linear actuator (hydraulic cylinder) in which D = 4 in, t = 3/8 in, L = 12 in, and w = 3/4 in. Both brackets as well as the cylinder are of steel. The actuator has been designed for a working pressure of 2000 psi. Six 3/8 -in SAE grade 5 coarse-thread bolts are used, tightened to 75 percent of proof load.

(a) Find the stiffnesses of the bolts and members, assuming that the entire cylinder is compressed uniformly and that the end brackets are perfectly rigid.
(b) Using the Gerber fatigue criterion, find the factor of safety guarding against a fatigue failure.
(c) What pressure would be required to cause total jointseparation?

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