折线形开口薄壁截面圆弧曲梁弯扭理论

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，本文也给出了槽形截面（分槽口向里和向外）曲梁和Π形截面曲梁的简化公式

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

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.