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本文以考虑剪切变形的交叉梁系柔度法和多层框架在竖向荷载下的分层法为基础提出了跳层空腹网架的简化分析方法。该方法通过将两向正交平面空腹桁架等代为两向正交实腹梁,经求解柔度方程后,可回代成平面空腹桁架求算杆件的内力。本文详细地推导了跨越层柱子对等代实腹梁作用的端弯矩,同时求算出了考虑跨越层柱子影响时等代实腹梁的柔度系数,建立了柔度方程。提出了回代过程中跨越层柱子对等代实腹梁作用端弯矩在求杆件内力时的处理方法,给出了简化计算方法的具体步骤,并编制了相应的计算机程序。通过算例分析可知该简化分析方法具有较高的计算精度,可满足工程结构设计的要求。
In this paper, a simplified analysis method of hopper webs is proposed based on the flexibility of cross-beam system considering shear deformation and the stratification method of multi-story frames under vertical loads. In the method, the two-way orthogonal flat web-shaped truss is replaced by two-way orthogonal webs, and after solving the compliance equation, the internal force of the webs can be calculated and replaced into the flat web-frame truss. In this paper, the end moment of the equivalent girders across the pillars is deduced in detail. At the same time, the flexibility coefficient of the equivalent girders with equivalent pillars is calculated and the compliance equation is established. The method to deal with the internal moment of the beam acting on the girder of equivalent girders across the pillars during the replacement process is proposed. The specific steps to simplify the calculation method are given and the corresponding computer programs are compiled. The example analysis shows that the simplified analysis method has higher calculation accuracy and can meet the requirements of engineering structure design.