Analytical formulation of the elastic-plastic behaviour of bi-symmetrical steel shapes

• Autor(a) principal: Baptista, A. M.
• Data de Publicação: 2006
• Outros Autores: Muzeau, J. P.
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
• Texto Completo: http://repositorio.lnec.pt:8080/jspui/handle/123456789/17370
• topic: Analytical model; Elastic-plastic behaviour; Cross-section; Global deformation; Internal forces; Strain-hardening; Ductility; Resistance; Stiffness

This paper presents the analytical relationships of a non-linear model for the in-plane elastic-plastic analysis of bi-symmetrical steel shapes bent about one of their main axes. The basic variables are the cross-section global deformations from which it is possible to evaluate the internal loads and the cross-section stiffness matrix components by means of simple expressions. Furthermore, the values of stresses and strains at any point of the cross-section may be determined knowing the values of the internal loads, in the elastic and elastic-plastic domains. The effects of progressive yielding spreading, as well as those of material strain-hardening, are taken into account in the evaluation of the cross-section resistance capacity in the elastic-plastic domain. This analytical model represents an efficient, simple and accurate alternative to the elastic-plastic models based on numerical methods.