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A ¾ in. UNF, grade 7 bolt with rolled threads is used in a joint having...

A ¾ in. UNF, grade 7 bolt with rolled threads is used in a joint having a soft gasket for which the clamped member stiffness is only half the bolt stiffness. The initial bolt tightening corresponds to Fi= 16000d, where d is in inches and Fi in lbs. During operation, there is an external separating force that fluctuates between 0 and P. Assuming a design factor of safety of 2:

a) Estimate the Maximum P that would not cause eventual bolt fatigue failure (Goodman criterion).

b) Estimate the maximum value of P that would not cause joint separation.

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