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图1是一个连续拱:它是由单跨拱与立柱组成的跨变刚构,在桥梁、水利工程、地下结构及房屋结构中都有用,而且应用日益广泛。但是这个连续拱是高次超静定结构,它的内力计算相当繁重。为了使复杂的连续拱计算简便,国内外都进行了大量的研究,提出不少的计算方法,对连续拱的计算有贡献,但还有不少的缺陷。我们在学习现有的连续拱计算理论的基础上,把卡尼计算多层刚架的迭代法推广求连续拱的杆端弯矩和杆端推力,提出一个“连续拱计算的迭代法”。用这个方法计算连续拱不仅计算简捷,而且精确度高,建议采用。下面介绍这个方法的基本原理及作法.
Figure 1 is a continuous arch: it is a span-varying rigid-frame structure consisting of a single span arch and uprights. It is used in bridges, water conservancy projects, underground structures, and house structures, and is increasingly used. However, this continuous arch is a high-order statically indeterminate structure, and its internal force calculation is rather heavy. In order to simplify the computation of complex continuous arches, a large number of studies have been conducted both at home and abroad, and many calculation methods have been proposed, which have contributed to the calculation of continuous arches, but there are still many defects. On the basis of studying the existing continuous arch calculation theory, we generalize the iterative method of Carney’s multi-layer rigid frame to derive the rod end bending moment and the rod end thrust of the continuous arch, and propose a “continuous iteration method for iterative arch calculation”. Calculating continuous arches using this method is not only simple and straightforward, but also has high accuracy and is recommended. The following describes the basic principles and practices of this method.