(广州容柏生建筑工程设计事务所 510170)
［提要］将横截面沿梁轴线连续变化的加腋梁简化为以截面形心的连线为中性轴的空间曲梁，推导出线弹性状态下加腋梁内力和挠度的精确解。同理可类推，任何沿梁轴线连续变化的变截面杆件都可简化成以横截面形心的连线为中性轴的空间曲杆，从而可得到其精确解。给出了对称直线加腋梁在均布荷载作用下的精确解和可供查表计算的表格，并将实例和三维有限元的数值解进行了对比，结果非常吻合。根据精确解得到了在横向荷载作用下加腋梁内产生轴力是其不同于等截面直梁的重要特性。
［关键词］ 加腋梁 精确解 轴力 挠度
Mechanical Model and Solution of Haunched Beam/Xu Zhongren(RBS Architectural Engineering Design Associates,Guangzhou 510170,China)
Abstract:Haunched beams with crosssection of gradual height are simplified to spacial curved beams whose neutral axes are geometrical centers of the crosssections, so the mathematic solution of haunchde beams about internal force and deflection is given.In the same way, mathematic solution of any beams with consecutive variable crosssections can be got.The table for calculating the mathematic solution of symmetric linearhaunched
 beams under uniform load is given. An example demonstrates the solution by the finite element anslysis.Axial force is the main characteristic of haunched beamsdifferent from beams with fixed straight crosssection under transversal load.
Keywords:haunched beam; mathematic solution; internal force; deflection