均布荷载作用下工字形截面单跨超静定深梁应力计算方法研究  

STUDY ON STRESS CALCULATION METHOD FOR HYPERSTATIC DEEP BEAMS WITH SINGLE SPAN AND I SECTION SUBJECTED TO UNIFORM LOAD

作　　者：刘计良[1,2] 王正中[1] 韩彦宝[1] 张学森[1] 

机构地区：[1]西北农林科技大学水工程安全与病害防治研究中心,陕西杨凌712100 [2]西北农林科技大学理学院,陕西杨凌712100

出　　处：《工程力学》2010年第3期174-179,共6页Engineering Mechanics

基　　金：国家"863"计划项目(2002AA62Z3191);陕西省自然科学基金项目(97C19)

摘　　要：工字形截面单跨超静定深梁因截面形式复杂目前其应力计算仍无解析方法。该文对均布荷载作用下工字形截面单跨超静定深梁应力计算进行研究,通过引入合理的参数并对工字形截面作恰当的拆分和组合及合理假设,建立了力学模型,应用半逆解法求解,并考虑了弯剪耦合效应,给出了各应力分量的计算公式。分析了弯应力沿梁高及跨长的分布规律及剪力对弯应力的影响,结果表明剪力对弯应力的影响较大,这种影响随跨高比的减小或翼缘与腹板面积比的增大而增大。结果可为工字形截面单跨超静定深梁的设计提供概念明确的理论计算方法。Since the cross sections of hyperstatic deep beams with a single span and I section are complex,there are no analytical calculation formulas to compute its stress components up to present.This paper focuses on a stress calculation method for hyperstatic deep beams with a single span and I section subjected to uniform loads.The mechanics model is built by using reasonable parameters,reasonable hypothesis,separating and assembling I section.The analytical formulas of stress components are obtained by using the semi-inverse method with the consideration of shear-bending coupling.The distribution law of bending stress and the effect of shear forces on bending stress are analyzed.The result demonstrates that the shearing force has remarkable effect on the bending stress.The effect is related to the span-depth ratio and area ratio between the flange and web.The result provides a theoretical calculation method for the design of hyperstatic deep beams with a single span and I section.

关 键 词：单跨超静定深梁 翘曲应力 半逆解法 工字形截面 弯应力 

分 类 号：TB125[理学—工程力学]