砖墙基础托换的钢梁-砖砌体Timoshenko组合梁模型分析

doi:10.3969/j.issn.1007-2861.2014.01.011

上海大学学报(自然科学版) ›› 2015, Vol. 21 ›› Issue (1): 97-105.doi: 10.3969/j.issn.1007-2861.2014.01.011

砖墙基础托换的钢梁-砖砌体Timoshenko组合梁模型分析

项潇潇, 吴郦威, 杨骁

上海大学土木工程系, 上海 200072

收稿日期:2014-01-22 出版日期:2015-02-28 发布日期:2015-02-28
通讯作者: 杨骁(1965—), 男, 教授, 博士生导师, 博士, 研究方向为土-桩结构相互作用、流固耦合作用. E-mail:xyang@shu.edu.cn
基金资助:
国家高技术研究发展计划(863计划)资助项目(2009AA0323032)

Timoshenko composite beam model analysis of steel beam and brick masonry for foundation underpinning of masonry wall

XIANG Xiao-xiao, WU Li-wei, YANG Xiao

Department of Civil Engineering, Shanghai University, Shanghai 200072, China

Received:2014-01-22 Online:2015-02-28 Published:2015-02-28

摘要/Abstract

摘要： 将钢夹梁和钢梁间的砖砌体等效为组合梁, 基于Timoshenko 弹性梁理论, 建立了钢梁-砖砌体组合梁弯曲变形的控制方程, 给出了钢梁-砖砌体组合梁弯曲变形的解析解. 在此基础上, 考虑砖砌体墙的拱效应, 研究了砖砌体墙的基础托换问题, 得到了不同型号工字钢夹梁的钢梁-砖砌体组合梁最大挠度和最大应力, 以及基础单段托换的最大长度. 研究结果表明: 钢梁-砖砌体组合梁挠度和应力随着工字钢型号编号的增加而减小, 但钢梁承担的荷载以及锚栓承担的压力不变. 同时, Timoshenko模型的组合梁挠度大于Euler模型的组合梁挠度, 但两种模型的应力及紧箍压力相同. 因此, Euler 组合梁模型可用于基础托换设计中的强度分析, 而刚度分析建议采用Timoshenko 组合梁模型.

关键词: 拱效应, 基础托换, 托换长度, 砖砌体, 组合梁

Abstract: Regarding the steel clamping beams and brick masonry between them as a composite beam and based on the Timoshenko elastic beam model, the governing equation for bending deformation of composite beam is established. The analytical solution for bending deformation of the composite beam of steel and brick masonry is presented. Considering the arch effect of the brick masonry, the foundation underpinning of the brick wall of masonry structure is investigated. The maximum deflection and maximum stresses of the steel-brick masonry composite beam for different models of H-type steel clamping beam are obtained, and the maximum length of the foundation underpinning for single stage is given. It is shown that deflection and stresses of the steel-brick masonry composite beam decrease with the model number of the H-type steel beam increasing, but the load held by the steel beam and the confining pressure of the steel-brick masonry composite beam are unchanged. Furthermore, the deflection of the Timoshenko composite beam is larger than that of the Euler composite beam, but the stresses and confining pressure are the same. Therefore, in the foundation underpinning design, the model of an Euler composite beam can be used for strength analysis, and the Timoshenko composite beam model can be used for stiffness analysis.

Key words: arch effect, brick masonry, composite beam, foundation underpinning, underpinning length

中图分类号:

项潇潇, 吴郦威, 杨骁. 砖墙基础托换的钢梁-砖砌体Timoshenko组合梁模型分析[J]. 上海大学学报(自然科学版), 2015, 21(1): 97-105.

XIANG Xiao-xiao, WU Li-wei, YANG Xiao. Timoshenko composite beam model analysis of steel beam and brick masonry for foundation underpinning of masonry wall[J]. Journal of Shanghai University（Natural Science Edition）, 2015, 21(1): 97-105.

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砖墙基础托换的钢梁-砖砌体Timoshenko组合梁模型分析

Timoshenko composite beam model analysis of steel beam and brick masonry for foundation underpinning of masonry wall

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