三角桁架的合理结构解

Vladimir A. Repin, Anastasia V. Lukina, Alexey S. Usov
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引用次数: 0

摘要

木椽结构具有毋庸置疑的优点,这决定了它的广泛应用。研究对象是三角椽结构。研究的目的是找出所研究结构元件中的力值与其起重臂大小的相关性。介绍了用麦克斯韦-克雷莫纳图对特拉斯进行计算的方法。在对“剪刀”型特拉斯木结构进行研究的基础上,估计了所提出方法的效率。已经建立了以下模式:力图中各点坐标(横坐标)的变化与f的变化成反比。它确定了升力(屋顶坡度)合理值的区域,在该区域内力值趋于最小。结果表明,当屋顶坡度减小时,特拉斯单元每一步的力增量值从27%增加到2倍。根据对所获得数据的图形分析,找到了特拉斯构件中的力取最小值时屋顶坡度的有效值范围。使用图解法确定力,可以检查屋顶坡度的变化,以寻找“剪刀”型特拉斯结构的合理解决方案。因此,所提出的方法有助于选择最经济的结构解决方案。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Rational structural solutions for triangular trusses
Wooden rafter structures have undoubted advantages, which determine their wide application. The object of the study is triangular rafter structures. The purpose of the research is to find the dependence of force values in the elements of the studied structure on the magnitude of its lifting boom. The calculation of a triangular truss using the Maxwell - Cremona diagram is presented. The efficiency of the proposed method was estimated on the basis of a study of the structure of a wooden truss of the “scissors” type. The following pattern has been established: the change in the coordinates of the points (abscissas) of the force diagram is inversely proportional to the change in f . It is determined the area of rational values of the lift (roof slope) at which the values of internal forces tend to a minimum. It was revealed that the values of force increments in the truss elements at each step increase from 27% to 2 times when the roof slope de-creases. Based on the graphical analysis of the obtained data the range of effective values of the roof slope at which the forces in the elements of the truss take minimum values was found. Using a graphic method of determining the forces, it is possible to check variants of the roof slope in the search for a rational solution of the “scissor” type truss structure. It follows that the proposed method contributes to the choice of the most economical structural solutions.
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