A spherical pressure vessel has an inside diameter of 300mm and must contain 30M

Question

A spherical pressure vessel has an inside diameter of 300mm and must contain 30MPa pressure. The design requires safety factors X0 = 3.0 against yielding and Xa = 9.0 on the critical crack length for leak-before-break design, requiring cc Xat. The wall thickness t may be varied in design. Consider making the vessel out of the low-alloy steel A-517-F. What minimum thickness t is required to resist yielding, and what is the resulting mass of the vessel? (Use data from Tables 3.13 and 8.1. Answers: t = 8.9 mm, m = 21 kg.) Does the minimum thickness to resist yielding from satisfy the leak-before-break criterion with the needed safety factor Xa?

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