Transfer relations represent analytical solutions of the linear theory of circular arches, relating each one of the kinematic and static variables at an arbitrary cross-section to the kinematic and static variables at the initial cross-section. The purpose of this paper is to demonstrate the significance of the transfer relations for structural analysis by means of three examples taken from civil engineering.,The first example refers to an arch bridge, the second one to the vault of a metro station and the third one to a real-scale test of a segmental tunnel ring.,The main conclusions drawn from these three examples are as follows: increasing the number of hangers/columns of the investigated arch bridge entails a reduction of the maximum bending moment of the arch, allowing it to approach, as much as possible, the desired thrust-line behavior; compared to the conventional in situ cast method, a combined precast and in situ cast method results in a decrease of the maximum bending moment of an element of the vault of the studied underground station by 46%; and the local behavior of the joints governs both the structural convergences and the bearing capacity of the tested segmental tunnel ring.,The three examples underline that the transfer relations significantly facilitate computer-aided engineering of circular arch structures, including arch bridges, vaults of metro stations and segmental tunnel rings.

中文翻译：

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传递关系：圆拱结构计算机辅助工程的有用基础

传递关系表示圆拱的线性理论的解析解，将任意横截面的运动学和静态变量中的每一个与初始横截面的运动学和静态变量相关联。本文的目的是通过土木工程中的三个例子来证明传递关系对结构分析的重要性。第一个例子是拱桥，第二个例子是地铁站的拱顶，第三个例子是一到一段隧道环的实际规模试验。,从这三个例子得出的主要结论如下：增加被调查拱桥的吊架/立柱的数量需要减少拱的最大弯矩，使其尽可能接近所需的推力线行为；与传统的现场浇筑方法相比，预制和现场浇筑相结合的方法使所研究的地下车站拱顶构件的最大弯矩降低了46%；并且节点的局部行为控制着测试的管片隧道环的结构收敛和承载力。这三个例子强调了传递关系显着促进了圆拱结构的计算机辅助工程，包括拱桥、地铁拱顶车站和分段隧道环。