(同济大学建筑设计研究院 上海 200092)
【提要】 用三维壳体有限元对拱在局部荷载作用下的受力状态进行分析，得到拱在不同矢跨比和不同支承条件下的竖向位移和内力变化规律，并与平面杆系有限元结果进行了比较。通过线性回归分析得到局部荷载等效分布宽度的计算公式，使拱受局部荷载的空间计算问题转化为平面问题，为工程设计提供了简化方法。
【关键词】 拱  局部荷载 有限元 壳单元 等效分布宽度
Stress Analysis of Arch Under Local Load/Lu Haoliang1，Huang Daming2(1 College of Civ. Eng.,Tongji Univ.,Shanghai 200092,China; 2 Architectural Design and Research Institute,Tongji University, Shanghai 200092,China)
Abstract:The stress status of arch under local load is analyzed using 3D shell FEM.The variation regularity of arch crown's vertical displacement and bending moment in different ratio of vector height and arch span and different support condition are concluded. The results are compared with those of plane beam system.According to linear regression analysis based on calculating data, the formula of local load equivalent distribution width is proposed. So the 3D calculation problem is simplified to plane problem, which presents a simple method for engineering design.
Keywords:arch； local load； FEM； shell element； equivalent distribution width