Non-linear generalised beam theory formulation for open-section thin-walled members with arbitrary support conditions

The paper presents a means of determining the non-linear stiffness matrices from expressions for the first and second variation of the Total Potential of a thin-walled open section finite element that lead to non-linear stiffness equations. These…

This paper begins by presenting a Generalized Beam Theory (GBT) formulation for analyzing the vibration behavior of loaded composite thin-walled members, which accounts for the effects of (i) cross-section in-plane deformation, (ii) shear…

A general analytical model based on shear-deformable beam theory has been developed to study the flexural-torsional coupled vibration and buckling of thin-walled open section composite beams with arbitrary lay-ups. This model accounts for all the…

Conventional solutions for the equations of equilibrium based on the well-known Vlasov thin-walled beam theory uncouple the equations by adopting orthogonal coordinate systems. Although this technique considerably simplifies the resulting field…

The exact solutions for torsional analysis of thin-walled open-section composite beams with arbitrary lamination subjected to torsional moment are presented for the first time. For this, a general thin-walled composite beam theory with arbitrary…

The majority of analyses of thin-walled beam-columns in the linear and nonlinear ranges of structural response have been for prismatic sections. This paper presents a theory for the nonlinear axial strain and Kirchhoff stress resultants for a…

A consistent co-rotational total Lagrangian finite element formulation for the geometric nonlinear buckling and postbuckling analysis of thin-walled beams with generic open section is presented. The element developed here has two nodes with seven…

This paper reports the results of an ongoing investigation on the use of Generalised BeamTheory (GBT) to assess the local and global buckling behaviour of thin-walled trusses with cold-formed steel Rectangular Hollow Section (RHS) members. After a…

A geometric stiffness formulation is presented for thin-walled open section beams using semiloof elements. The validity of the formulation is confirmed by performing torsional and lateral initial stability (buckling) analyses of beams. Results are…