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本文是某弯石拱桥结构计算的理论推导部分。现行弯石拱桥标准图所用结构计算方法没有考虑拱体平面投影的曲率。认为作用于拱顶处的横向水平剪力,横向弯矩和扭矩三对赘余力仅与横向荷载有关;而竖向弯矩、水平推力和竖剪力三对赘余力则仅与竖向荷载有关。本文全面考虑了它们之间的关系;为圆筒拱为主,推导出各赘余力在不同外力作用下影响场的计算公式,并对简化计算方法的途径提出了意见。
This paper is the theoretical derivation part of structural calculation of a curved stone arch bridge. The structural calculation method used in the standard curve of the existing curved arch bridge does not consider the curvature of the plane projection of the arch. It is considered that the three pairs of redundant horizontal and vertical bending moments and torques acting on the vault are only related to the transverse loads, while the three pairs of redundant loads of the vertical bending moment, horizontal thrust and vertical shear force are only related to the vertical load . In this paper, the relationship between them is considered in all aspects. For cylindrical arch, the formulas for calculating the influence field of each redundant force under different external forces are deduced. Some suggestions are put forward to simplify the calculation method.