Shakedown of Pressure Vessels with Ellipsoidal Heads

The shakedown of cylindrical pressure vessels with arbitrary heads is described in general by means of Leckie's adaptation of Melan's shakedown theorem. The procedure is mated with an elastic shell analysis programme, which is then used to calculate shakedown pressures for vessels with ellipsoidal heads that have aspect ratios of 3, 2 1/2, 2, 1 1/2, 1, and a variety of thickness ratios. Comparisons with the design pressures obtained by the methods of the A.S.M.E. Boiler and Pressure Vessel Code are also made.