摘要
通过定义组合梁截面翘曲位移函数和广义相对滑移函数,利用最小势能原理和变分方法,推导了组合梁在受到相对滑移和剪力滞耦合效应时,其挠度、相对滑移、剪力滞系数的计算通式,并进一步给出了简支钢-混凝土组合梁在均布荷载作用下挠度、相对滑移和剪力滞系数的解析解。分析结果表明:组合梁挠度和剪力滞系数都与相对滑移量和混凝土板最大转角位移差无关,而与相对滑移趋势以及相对转动趋势成正比;相对滑移受到翘曲位移函数的影响。本文计算结果与有限元法结果吻合良好。
By the definition of the composite beam warping displacement funcnon and general relative slip function, using the principle of the minimum potential energy and the variation method, the general formula of deflection, relative slip and shear lag coefficient were derived under the coupling effect of relativity slip and shear lag. Moreover, the closed-form solutions for simply supported steel-concrete composite beam with deflection, relative slip and shear lag coefficient were deduced under uniformly distributed loads. The analysis results show that the deflection and shear lag coefficient of composite beam have nothing to do with relative slip value and the maximum angular displacement difference of the concrete slab, while they are proportional to the trend of relative slip and rotation angle. Relative slip is affected by warping displacement function. The calculation results in the paper agree well with the finite element method results.
出处
《建筑科学与工程学报》
CAS
北大核心
2013年第2期114-120,共7页
Journal of Architecture and Civil Engineering
基金
交通运输部行业联合科技攻关项目(2010 353 333 140)
关键词
钢-混凝土组合梁
界面滑移与剪力滞耦合效应
最小势能原理
变分方法
挠度
steel-concrete composite beam
coupling effect of interface relative slip and shear lag
principle of minimum potential energy~ variational method~ defection
