2024 Volume 80 Issue 15 Article ID: 23-15003
A beam theory with cross-sectional deformation due to torsion applicable to arbitrary cross-sections is proposed. In this theory, the magnitude of the warping, which is independent of the angle of twist, is introduced. The cross-sectional deformation mode is obtained numerically by a finite element analysis of the representative volume element with periodic boundary conditions. This homogenization process makes the present theory applicable to arbitrary cross-sections. The deformation mode is used to obtain the cross-sectional parameters appeared in the derived governing equations. The result of the proposed method for a beam with heterogeneous cross-section shows good agreement with the result of finite element analysis.
