For a bolted assembly with six bolts, the stiffness of each bolt is kb 5 3 Mlbf/in and the stiffness of the members is km 5 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. Required:
a. Determine the yielding factor of safety.
b. Determine the overload factor of safety.
c. Determine the factor of safety based on joint separation.