A torsion bending element for thin-walled beams with open and closed cross sections

A finite element analysis of discontinuous thin-walled beams considering nonuniform shear warping deformation

Large displacement formulation of a three-dimensional beam element with cross-sectional warping

Finite beam element with exact shape functions for torsional analysis in thin-walled single- or multi-cell box girders

In this paper, a general method, called the spline finite member element method, is developed for spatial buckling analysis of thin-walled eccentric compressive members with arbitrary cross sections, considering warping. A transformed B3-spline function is used to simulate the longitudinal warping displacement field along the cross section of a thin-walled member. The method differs from Vlasov's classical theory of spatial buckling in that it takes into account the effects of shearing strains of the middle surface of walls on the buckling, which reflect the shear lag phenomenon. Compared with the results from the COSMOS/M finite element analysis program and another analysis method, the numerical results obtained in the paper demonstrate the versatility, accuracy, and efficiency of the proposed method. The fast convergence shown in numerical examples demonstrates the reliability of the results.

Spatial stability of thin-walled eccentric compressive members

The torsional stiffness matrix of a thin-walled beam and its application to beams under combined loading

A consistent theory for torsion of thin-walled bars with cross-sections of arbitrary shape (open, closed or mixed) is developed in this paper; it is an improvement on the classical torsion theory of thin-walled bars. All the basic relations, formulas and equations are derived and proved under the consistent assumptions. A torsional stiffness matrix for thin-walled bar elements is also formulated on the basis of the consistent theory. A computer program has been written which is applicable to the practical use of torsional analysis of thin-walled bar structures with arbitrary cross-sections.

Hu Yu-Ren

Papers

The torsional stiffness matrix of a thin-walled beam and its application to beams under combined loading

A consistent theory for torsion of thin-walled bars