折线形开口薄壁截面圆弧曲梁弯扭理论

AN EXACT BENDING AND TORSION THEORY OF THINWALLED CURVED BEAMS WITH OPENSECTIONS

现有薄壁曲梁弯扭理论缺乏严密的理论推导。本文基于薄壁构件理论的两个基本假设，精确地导出了任意折线形开口薄壁截面圆弧曲梁的翘曲位移、正应力、剪应力及其各自合力的精确表示式。为便于应用。

Current available theories for thinwalled curved beams lack a rigorous theoretical development.This paper provides a detailed derivation of an exact theory for biaxial bending and torsion of thinwalled circularlycurved beams .The derivation is based on two wellaccepted assumptions in the theory of straight thinwalled beams. Exact expressions for warping displacement, normal and shear stresses and their resultants are presented. A simplifed theory is also given for practical applications.