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...

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 joint separation?