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加腋梁的簡(jiǎn)化計(jì)算模型及其解析解
徐重人
摘 要

(廣州容柏生建筑工程設(shè)計(jì)事務(wù)所 510170)
[提要]將橫截面沿梁軸線連續(xù)變化的加腋梁簡(jiǎn)化為以截面形心的連線為中性軸的空間曲梁,推導(dǎo)出線彈性狀態(tài)下加腋梁內(nèi)力和撓度的精確解。同理可類推,任何沿梁軸線連續(xù)變化的變截面桿件都可簡(jiǎn)化成以橫截面形心的連線為中性軸的空間曲桿,從而可得到其精確解。給出了對(duì)稱直線加腋梁在均布荷載作用下的精確解和可供查表計(jì)算的表格,并將實(shí)例和三維有限元的數(shù)值解進(jìn)行了對(duì)比,結(jié)果非常吻合。根據(jù)精確解得到了在橫向荷載作用下加腋梁內(nèi)產(chǎn)生軸力是其不同于等截面直梁的重要特性。
[關(guān)鍵詞] 加腋梁 精確解 軸力 撓度

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

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