Applying the BEM to evaluate cross-section properties of 3D (spatial) frames elements
Francisco C. de Araujo1; Renato A. Tavares1; Kátia I. Silva1
1 Universidade Federal de Ouro Preto
doi:10.20906/CPS/CILAMCE2015-0328
Resumo
In this paper, algorithms based on boundary-integral formulations are employed to calculate geometrical section properties as areas, 1st and 2nd moments of area, the torsional moment of inertia, and the shear-stress shape factors, useful for constructing 3D frame element stiffness matrices. Particularly for determining the torsional constant and the torsion center, the BEM is employed to solve the Laplace equation involved. Herein, special integration algorithms are employed to model thin-walled cross-sections. After that, taking advantage of existing boundary-element meshes, the other section geometrical characteristics are calculated. In the applications, section properties are calculated by means of BE-based routines included into a computational code for carrying out the analysis of spatial frameworks by using the Direct Stiffness Method (DSM).
Palavras-chave: cross-section properties; Direct Stiffness Method (DSM); spatial frames; Boundary Element Method