Solution: For a bolted assembly with eight bolts, the

Chapter 8, Problem 8-49

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For a bolted assembly with eight bolts, the stiffness of each bolt is \(k_b=1.0 \mathrm{MN} / \mathrm{mm}\) and the stiffness of the members is \(k_m=2.6 \mathrm{MN} / \mathrm{mm}\) per bolt. The bolts are preloaded to 75 percent of proof strength. Assume the external load is equally distributed to all the bolts. The bolts are \(M6 \times 1\) class 5.8 with rolled threads. A fluctuating external load is applied to the entire joint with \(P_{\max }=60 \mathrm{kN}\) and \(P_{\min }=20 \mathrm{kN}\).

(a) Determine the yielding factor of safety.

(b) Determine the overload factor of safety.

(c) Determine the factor of safety based on joint separation.

(d) Determine the fatigue factor of safety using the Goodman criterion.

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