On the Formulation of an Elastic-Plastic Beam Model: the Pre-Integration Idea

Abstract This paper provides a formulation of an elastic-plastic beam model. The constitutive behaviour material after elasticity limit is considered perfect plastic. Although this not general plastic behaviour, it allows to minimize mathematical difficulties fulfil the idea: pre-integration trough thickness extended non-linearity. Three types deformation mechanisms are found: fully elastic, plasticization over only one side or both sides. complete kinematic set equations obtained, together with analytical stress trends. Yield stress-continuity used separate elastic and domains. These domains define quasi-state diagram; Allowing associate normal force bending moment acting on section state within section. Note that in case rectangular section, solution given form, otherwise solved numerical solutions. But these last, may be obtained once for all, any one-symmetrical