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工程科学与技术:2014,46(5):58-65
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基于内力分配法的组合梁徐变应力重分布实用计算
(1.昆明理工大学 土木工程学院;2.昆明冶金高等专科学校 建工学院)
Practical Calculation of Creep Stress Redistribution on Composite Beams Based on Internal Forces Distribution Method
(1.Faculty of Civil Eng.,Kunming Univ. of Sci. and Technol.;2.Architectural Eng. Faculty,Kunming Metallurgy College)
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投稿时间:2014-01-24    修订日期:2014-06-27
中文摘要: 为获得组合梁徐变应力重分布的计算公式,以一个单轴对称并受到弯矩和轴力作用的组合梁截面为研究对象,采用混凝土徐变的微分本构关系,用内力分配法得到组合梁弯矩和轴力重分布的微分方程组。为避免求该方程组的精确解所需复杂的数学计算,通过有效的简化获得方程组的实用近似解,并通过算例进行精确性验证。计算结果表明:方程组近似解与精确解的误差非常小,能达到合理的计算精度;混凝土徐变对组合梁长期应力影响显著,计算时应得到足够的重视。采用的内力分配法适用性较广,无论是何种荷载形式、结构形式,只要内力能换算成作用在组合梁截面中和轴处的弯矩和轴力,都可以使用该方法。
Abstract:In order to obtain formulas of creep stress redistribution on composite beams,constitutive relations of concrete creep were established by taking an axisymmetric composite cross section subjected to moment and axial force as a research object, and the differential equations of moment and axial force redistribution with internal forces distribution method were deduced.Then practical approximate solutions were acquired through effective simplified conditions to avoid complicated calculations of exact solutions. Its accuracy was verified through an example finally.The results showed that the error between approximate and exact solutions was very small,which could achieve reasonable calculation accuracy.Concrete creep was a significant influence on a long-term stress characteristic of composite beams which must be put enough attention in computation.The internal forces distribution method can be used in a wide range as long as internal forces are converted to moment and axial force in the section neutral axis regardless of applied loading type, whether statically determinate or indeterminate structure.
文章编号:201400102     中图分类号:    文献标志码:
基金项目:国家自然科学基金地区资助项目(51268022);国家自然科学基金青年项目资助(51308269);教育部博士点基金资助项目(20095314110008)
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韩春秀,周东华,陈旭,廖文远,孙俊玲.基于内力分配法的组合梁徐变应力重分布实用计算[J].工程科学与技术,2014,46(5):58-65.
Han Chunxiu,Zhou Donghua,Chen Xu,Liao Wenyuan,Sun Junling.Practical Calculation of Creep Stress Redistribution on Composite Beams Based on Internal Forces Distribution Method[J].Advanced Engineering Sciences,2014,46(5):58-65.