For the pressure cylinder defined in the problem specified in the table, the gas pressure is cycled between zero and pg. Determine the fatigue factor of safety for the bolts using the following failure criteria:
(a) Goodman.
(b) Gerber.
(c) ASME-elliptic.
Problem 8-34, 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 ............. 1/2 in
B ............. 5/8 in
C ............. 3.5 in
D ............. 4.25 in
E ............. 6 in
F ............. 8 in
N ............. 10
pg 6 ............ 1500 Psi
Bolt grade ........... SAE 5
Bolt spec. .......... 1/2 in-13