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原文登載于日本东京大学教授平井敦著鋼桥第三卷第二章和第三章(1956年出版)。(譯文改称第1,2章)譯出目的是为了介紹拱和梁的組合結构(原德文名)的計算方法和如何应用方陣理論于桥梁力学。近年我国由于鋼筋混凝上的发展,建筑铁略桥梁使用这种型式的鋼筋混凝土結构已很广范,在国外鋼桥方面使用的也很普遍,在国內尚不多見,对于电焊鋼梁这是最好型式之一,因此預料这种型式的結构将来会有很大的发展。在国內外文献中叙述这种結构的計算方法尚不多見。平井敦教授介紹的方法比其他方法理論易懂計算簡单。他首先介紹布萊希利用四弯距定理的方法,假如有10个节間的拱,就要解有10个方程的联立方程組,用电子計算机解这方程并不困难,但用人力就相当复杂,既費人力又費时間,使用上也不方便。著者由第二章第三节起叙述自己創造的用方陣理論的計算方法,也就是近似性很高的概算法,把計算手續大大地簡化,所得结果的精确程度并不显得降低,于使用上也很方便。方陣理論应用于桥梁方面尚是近年之事,特別是电子計算机发明之后桥梁方面应用方陣的范围逐步推广。最近在各国刊物发表的关于用电子計算机计算結构的論文几乎全部都是应用方陣的。本文第一章介紹方陣的一般理論和在桥梁力学上的应用,可作为結构技术人員工作上之参考。
The text is published in the second and third chapters (Volume 1956) of Professor Ping Jing Dun, Gangqiao, Tokyo University, Japan. (The translation is renamed Chapters 1 and 2.) The purpose of the translation is to introduce the calculation method for the combined structure of arches and beams (the original German name) and how to apply square matrix theory to bridge mechanics. In recent years, due to the development of reinforced concrete in China, the use of this type of reinforced concrete structure has been widely used in building iron bridges. The use of steel bridges in foreign countries is also very common and not widely seen in China. For welded steel beams This is one of the best patterns, so it is expected that this type of structure will develop greatly in the future. There are few calculation methods for describing this structure in domestic and foreign literature. The method introduced by Professor Hirai is easier to understand and simple than other methods. He first introduced Brecht’s method of using the four-curvature distance theorem. If there are ten inter-figure arches, it is necessary to solve simultaneous equations with ten equations. It is not difficult to solve this equation with an electronic computer, but it is labor-intensive. It is quite complicated, it is labor-intensive and time-consuming, and it is inconvenient to use. The author describes the method of calculation by the square-matrix theory created by himself in the second chapter from the third section, that is, the highly approximate algorithm, which greatly simplifies the calculation procedure, and the accuracy of the results obtained does not appear to be reduced. It is also very convenient. The application of the square-matrix theory to bridges is still a matter of recent years. In particular, the scope of application of the matrix of bridges after the invention of electronic computers has been gradually promoted. Most of the papers published recently in various publications on computer-based computational structures are all applied to the matrix. In the first chapter of this paper, the general theory of phalanx and its application in bridge mechanics are introduced. It can be used as a reference for structural technicians.