小跨高比RC开口梁弹性扭转性能计算方法  

Calculation method for elastic torsional performance of open RC beams with small span-height ratio

作　　者：陈圣刚 谢群[1] 郭全全[2] 刁波[2] 叶英华[2] CHEN Shenggang;XIE Qun;GUO Quanquan;DIAO Bo;YE Yinghua(School of Civil Engineering and Architecture,University of Jinan,Jinan 250022,China;School of Transportation Science and Engineering,Beihang University,Beijing 100191,China)

机构地区：[1]济南大学土木建筑学院,济南250022 [2]北京航空航天大学交通科学与工程学院,北京100191

出　　处：《哈尔滨工业大学学报》2020年第8期96-102,共7页Journal of Harbin Institute of Technology

基　　金：国家自然科学基金(51808258,51778032);山东省自然科学基金(ZR2018BEE034);山东省重点研发计划(2017GSF22016)。

摘　　要：为改善经典Vlasov弹性扭转理论应用于开口深梁计算时引起的极大计算误差,在Vlasov理论的基础上,引入剪切变形的影响,推导了约束扭转计算公式,获得考虑剪切变形影响的平衡微分方程,并利用初参数法得到解析解.同时,分别应用本文提出的计算方法、Vlasov理论及ABAQUS有限元模拟,对跨度分别为6.65 m和3.325 m的钢筋混凝土U型梁进行了计算分析.计算结果表明:两种计算方法应用大跨高比的U型长梁的扭转角的计算结果相差不大(当l/h>10时,误差在20%以内),与试验结果和有限元模拟结果均基本一致;但对于小跨高比的U型短梁,Vlasov理论极大低估了截面的扭转角(当l/h<6时,误差在40%以上),而本文提出计算方法所得的计算结果与试验及有限元模拟结果均吻合较好.本文所提方法克服了Vlasov经典理论中忽略剪切变形的局限性,不仅适用于大跨高比的开口薄壁构件的扭转计算,而且适用于小跨高比的开口薄壁结构的扭转分析.To improve the accuracy of the classic Vlasov torsional theory when it is applied to analyze deep beams with open cross sections,restrained torsional calculation formula was derived based on the effect of shear deformation and the Vlasov torsional theory.Equilibrium differential equations were obtained in consideration of the influence of shear deformation,and the solutions were obtained through initial parameter method.Then,U-shaped RC beams(span of 6.65 m and 3.325 m)were calculated by the proposed calculation method,Vlasov torsional theory,and ABAQUS simulations.It was found that results of the two calculation methods were close to each other for the long U-shaped beam with large span-height ratio(when l/h>10,the variation was within 20%),which was consistent with the experimental and simulation results.However,for the short U-shaped beam with small span-height ratio,the torsional rotation was significantly underestimated by the Vlasov torsional theory(when l/h<6,the variation exceeded 40%),while the results obtained from the proposed method well coincided with the experimental and simulation results.Therefore,the method proposed in this paper could overcome the limitation of ignoring shear deformation in the classic Vlasov torsional theory,which is suitable for the calculation of torsional deformation of open thin-walled members with both large and small span-height ratios.

关 键 词：开口薄壁 深梁 扭转 剪切变形 计算方法 

分 类 号：TU313.1[建筑科学—结构工程]