A BEAM THEORY CONSIDERING CROSS-SECTIONAL DEFORMATION DUE TO TORSION APPLICABLE TO ARBITRARY CROSS-SECTIONS

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  • SUDA Yohei
    国土交通省　四国地方整備局　徳島河川国道事務所
  • SAIKI Isao
    東北大学大学院　工学研究科土木工学専攻

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  • 任意断面に適用可能なねじりによる断面変形を考慮した梁理論

Abstract

<p>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.</p>

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