For the pressure cylinder defined in the problem specified in the table, the gas pressure is cycled between pg and pg/2. Determine the fatigue factor of safety for the bolts using the Goodman criterion.
Problem 8-36, The figure illustrates the connection of a steel cylinder head to a grade 30 cast-iron pressure vessel using N bolts. A confined gasket seal has an effective sealing diameter D. The cylinder stores gas at a maximum pressure pg. For the specifications given in the table for the specific problem assigned, select a suitable bolt length from the preferred sizes in Table A€“17, then determine the yielding factor of safety np, the load factor nL, and the joint separation factor n0.

A ............. 3/8 in
B ............. 1/2 in
C ............. 3.25 in
D ............. 4.5 in
E ............. 6 in
F ............. 8 in
N ............. 10
pg 6 ............ 1500 Psi
Bolt grade ........... SAE 5
Bolt spec. .......... 1/2 in-13