Question

For the pressure cylinder defined in the problem specified in the table, the gas pressure tois cycled between zero and pg. determine the fatigue factor of safety for the bolts using 8-55the following failure criteria: (a) goodman.

(b) gerber.
(c) asme-elliptic.

Answer 1

To determine the fatigue factor of safety for the bolts using different failure criteria, we need to calculate the stress range and endurance limit of the bolts. We then use different equations for each failure criteria.

Step-by-step explanation:

For calculating the fatigue factor of safety for the bolts, we need to determine the stress range and the endurance limit of the bolts.

(a) For the Goodman failure criteria, the fatigue factor of safety is calculated using the equation: FOS = σa / σm, where σa is the stress range and σm is the endurance limit.

(b) For the Gerber failure criteria, the fatigue factor of safety is calculated using the equation: FOS = (σu / σm)^2 - 1, where σu is the ultimate tensile strength.

(c) For the ASME-Elliptic failure criteria, the fatigue factor of safety is calculated using the equation: FOS = (σa / σu)^2 + (σm / σu)^2, where σu is the ultimate tensile strength.