A thin walled beam model formulation for the analysis of two dimensional problems is presented in this paper. The underlying concept of the model is to separate the correspondent two-dimensional elasticity problem into two parts: i) an approximation of the displacement field over the cross section and ii) a set of governing differential equations defined along the beam axis.
A set of basis functions that uncouples to the most possible form the governing equations of the problem is obtained, which permits to consider explicitly higher order modes of the cross section deformation, in particular, warping and transverse shear effects. This process of uncoupling has the advantage of permitting a better physical understanding of the beam structural behaviour.
An implementation of a numerical model for the solution of the orthogonal governing equation is developed within the framework of the finite element method, interpolating the coordinates of the deformation modes basis functions by a set of Hermite functions.
Some numerical examples are presented in order to verify the model capabilities in modeling the non classical effects associated with high order deformation modes within the scope of a two dimensional thin-walled beam analysis.