For the cylindrical vessel with ellipsoidal heads shown in Figure P9-22a under loading p = 500 psi, determine if the vessel is safe against yielding. Use the same material and factor of safety as in Problem 9.21. Now let a 5100 in., b = 50 in., and thickness t = 2 in. Which vessel has the lowest hoop stress? Recommend the preferred head shape of the two based on your answers.

Figure P9-22

For modeling purposes, the equation of an ellipse is given by b2x2 + a2y2 = a2b2, where α is the major axis and b is the minor axis of the ellipse shown in Figure P9-22(b).

Transcribed Image Text:

+в- (a) (b)