任意开口薄壁截面圆弧曲梁弯扭精确分析  

Exact Analysis of Curved Beams with Arbitrary Thin-walled Open-Sections

作　　者：许钧陶[1] 童根树[1] 

机构地区：[1]浙江大学,杭州310013

出　　处：《建筑结构学报》1997年第3期22-28,共7页Journal of Building Structures

摘　　要：现有薄壁曲梁弯扭理论缺乏严密的理论推导。本文基于薄壁构件分析的两个基本假定，导出了任意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以及平衡微分方程的精确表示式。为便于应用，本文还给出了一套具有良好精度的内力简化公式及相应的平衡微分方程。Currently available theories for thin-walled curved beams subjected to bending and torsionlack rigorous theoretical derivations. This paper provides a detailed derivation from an exactanalysis of biaxial bending and torsion of thin-walled circularly-curved beam. The derivation isbased on the two well-accepted assumptions in the theory of straight thin-walled beams. Exactexpressions for warping displacement, 'normal and shear stresses and their resultants arepresented. A set of simplified formulas with relevant differential equations for solving internal forces arealso given for practical applications.

关 键 词：曲梁 薄壁构件 弯曲 扭转 

分 类 号：TU392.101[建筑科学—结构工程] TU323.301