2024 Volume 70B Pages 280-290
The use of quasi-statically admissible states in plastic analysis brings about such a great advantage that closed formulae for the limit loads or the plastic collapse loads can be presented. Thus, we are released from tedious procedures of numerical calculations which are generally required for finding the limit loads by use of either statically admissible states or kinematically admissible states. However, the application of the quasi-statically admissible states is associated with such a serious objection that we cannot know how reliable the approximate solutions are, in other words, to what extent the solutions are conservative or radical in comparison to the exact ones. A general answer to this question seems impossible, because a variety of quasi-statically admissible states can be chosen even for a unique problem. Then, this paper presents a method to examine the preciseness of the solutions resulting from the quasi-statically admissible states in the example of axisymmetric annular plates.
