In the figure for Prob. 8–20, let A = 0.9 m, B = 1 m, C = 1.10 m, D = 20 mm, and E = 25 mm. The cylinder is made of ASTM No. 35 cast iron (E = 96 GPa), and the head, of low-carbon steel. There are thirty-six M10 X 1.5 ISO 10.9 bolts tightened to 75 percent of proof load. During use, the cylinder pressure fluctuates between 0 and 550 kPa. Find the factor of safety guarding against a fatigue failure of a bolt using the:
(a) Goodman criterion.
(b) Gerber criterion.
(c) ASME-elliptic criterion.