1.Mathematical analysis for mechanics problem: forward- and inverse-modeling in civil engineering

[11006-10-02] A Beam Theory Considering Cross-Sectional Defromation Due to Torsion Applicable to Arbitrary Cross-Sections(Proceedings of Symposium on Applied Mechanics)

*Yohei Suda¹, Isao Saiki² (1. Ministry of Land, Infrastructure, Transport and Tourism, 2. Tohoku University)

Keywords:torsion, cross-sectional deformation, representative volume element, warping

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.