钢-混组合梁温度及收缩效应分析的电算方法

Computing Method for Effect Analysis of Temperature and Shrinkage on Steel-concrete Composite Beams

为了便于运用计算机求解钢-混组合梁在温度和收缩作用下的效应,通过引入几何约束关系、本构关系和平衡条件,对换算截面进行积分,得出了等效温度作用下组合截面的自应力及单元超静定等效荷载;导出了基于换算截面非线性温度梯度的电算方法,并从理论上证明了其和叠加方法、微分方程方法等方法之间的关联性;分析了滑移对钢-混组合梁受力的影响。结果表明:换算截面电算方法不仅能用于静定组合梁分析,也可用于超静定组合梁的分析;应用该方法编制的程序可对简支组合梁和连续组合梁结构进行计算分析;滑移对组合梁受力的影响大小与叠合面剪切刚度相关。

To get a convenient solution for the effect of temperature and shrinkage on steelconcrete composite beams by computer,with the introduction of geometrical-restriction relation,constitution relation and equilibrium condition,by integration of transformed section,the self stresses in composite section and statically indeterminate load vector in elements were calculated.The computing method was derived based on nonlinear thermal gradient of transformed section.Its relations to the methods of both differential equation and superposition method were also theoretically proved.The effect of slip on the composite beam was also analyzed.The results show that the computing method for transformed section can be used for both statically determinate and statically indeterminate composite beams;the programs based on this method can be used for both simply supported and continuous composite beams and the extent of effect of slip on composite beam is relative to the shear stiffness of the interface.