The plastic work required to induce the limit pressure of a plain cylinder

There has recently been a revival of interest in the definition of the limit and plastic loads of a structure, particularly piping components. Recent proposals have suggested definitions based upon plastic work. In order to normalise such quantities, the plastic work associated with the limit pressure of a plain cylinder may be required. Whilst no unique value for this quantity can be obtained through analysis, this article demonstrates that classical methods allow solutions to be obtained through an empirical route and through an analysis using several approximations. This latter analysis is shown to be adequate for the applications envisaged here.