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连续钢梁腹板开洞后,不仅存在强度问题,还存在刚度问题,即变形不能过大。因洞口区域变为三次超静定,要计算其挠度,需先求解多余未知力,这样使得挠度计算极为不便。为了避免求解超静定内力,而又能得到适用的挠度计算公式,分别用求解挠度微分方程和结合用结构力学的方法推导了腹板开洞钢梁的挠度函数解析式,并将这些挠度函数计算的结果分别与有限元计算的结果进行了对比。结果表明两种方法得到的计算公式都与有限元结果吻合较好,可用于实际应用。
Continuous steel beam web hole, not only the existence of strength problems, there are still stiffness problems, that deformation can not be too large. Because the hole area becomes three times statically indeterminate, to calculate the deflection, we must first solve the unwanted unknown force, so that deflection calculation is extremely inconvenient. In order to avoid solving the statically indeterminate internal force and obtain the appropriate deflection formula, the analytical solutions of the deflection functions of the steel beams with web openings are deduced by solving the differential equation of elasticity and using the method of structural mechanics, respectively. These deflection functions The calculated results are compared with the results of finite element analysis respectively. The results show that the calculation formulas obtained by the two methods are in good agreement with the finite element results and can be used in practical applications.