Question: For the bolted assembly in Prob. 829, assume the external load is a repeated load. Determine the fatigue factor of safety for the bolts using

For the bolted assembly in Prob. 8–29, assume the external load is a repeated load. Determine the fatigue factor of safety for the bolts using the following failure criteria:
(a) Goodman.
(b) Gerber.
(c) ASME-elliptic.
In Prob. 8–29, For a bolted assembly with six bolts, the stiffness of each bolt is kb = 3 Mlbf/in and the stiffness of the members is km = 12 Mlbf/in per bolt. An external load of 80 kips is applied to the entire joint. Assume the load is equally distributed to all the bolts. It has been determined to use 1/2 in-13 UNC grade 8 bolts with rolled threads. Assume the bolts are preloaded to 75 percent of the proof load.
(a) Determine the yielding factor of safety.
(b) Determine the overload factor of safety.
(c) Determine the factor of safety based on joint separation.

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