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在桥梁结构中组合梁的弹性计算是一项重要的内容,然而要精确计算组合梁在弹性剪切连接(即有滑移)时的应力,须用到微分方程的解析解,在简单荷载作用下的静定结构还可得到这些解析解,但当荷载形式较复杂或为超静定结构时,要得到解析解就很困难了。目前还没有即简便、精度又高的实用计算方法,在《钢结构规范》[1](GB50017-2003)中也没有相关的内容可寻。为此,该文提出了一新的组合梁应力计算方法——有效刚度法,该法计算简便、力学概念清晰、计算精度高,能适用于任意荷载形式和任意大小的剪切连接刚度。计算结果中得到的组合系数还能非常直观地评价组合梁的组合作用大小,并可用于组合梁的有效抗弯刚度的计算。
The elastic calculation of composite beams in bridge structure is an important part. However, to calculate exactly the stress of composite beams under elastic shear connection (ie with slip), the analytical solution of differential equation must be used. Under simple load These statics solutions are also available under these analytic solutions, but it is difficult to obtain analytic solutions when the form of loading is complex or extra-statically deterministic. At present, there is no practical calculation method that is simple, high precision and has no relevant contents to be found in “Steel Structure Code” [1] (GB50017-2003). In this paper, a new method of calculating the stress of composite beams, the effective stiffness method, is proposed in this paper. The method is simple in calculation, clear in concept of mechanics and high in precision. It can be applied to shear connection stiffness of arbitrary load and arbitrary size. The combination coefficient obtained from the calculation results can also very intuitively evaluate the combined action of the composite beams and can be used to calculate the effective bending stiffness of the composite beams.