In this paper, a one - dimensional high order model based on a set of basic deformation modes of cross section is proposed to analyse one-dimensional dynamic model of cold-formed channel beam Considering the Deformable Cross-section. The model considers the displacement field through the linearly superimposing of 36 basis deformation modes, which stem from the discretization of the cross-section into 9 points and 8 segments. The corresponding deformation function is approximated with Hermite Interpolation. The governing equation is deduced from the principle of Hamilton, then use quadratic Lagrange interpolation for finite element realization. Numerical examples have also been presented and the comparison with ANSYS shell model showed its accuracy, efficiency, and applicability in reproducing three-dimensional behaviors of cold-formed channel beam.

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