An inelastic finite displacement analysis of arbitrary thin-walled open cross sectional members, using the finite element method, is presented. For the constitutive relation, the tangent modulus approach taking into account the contribution of the St. Venant shear stress to the yielding, is employed. In order to show the efficiency and versatility of this analysis, another analysis based on Prandtl-Reuss flow theory (abbreviated J2F) is developed. It is found that there is no significant difference in the results of the illustrative examples treated by the two analyses. Besides, the J2F based analysis is improved by including the shear stresses caused by non-uiform bending and torsion into the yield condition of von Mises.
The curved member is assumed to be an assemblage of straight members connected to each other at nodal points whose coordinates are introduced in the initial configuration. Although it has been recognized by many researchers that the straight beam element cannot always model the curved member properly, the present work proves that this conclusion is not true provided that the usual geometric stiffness of the thin-walled straight beam element is adjusted by taking into consideration the out-of-balance of the internal forces at the joint of two adjacent elements meeting at an angle Keywords: thin-walled straight beam element, lateral-torsional buckling, ctuasi-and semitangential moment 1.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.