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目前用结构力学原理分析混凝土圆拱桥温度内力时,由于计算上的原因略去了某些因素,因而得出的结果是近似的,在通常情况下其误差已超出容许范围。同时按结构力学得出的解仅限于定常温场一种情况。本文在弹性理论的基础上,建立圆拱温度变位基本微分方程组,并就变温场与定常温场分别求解,得出拱的各项变位及内力计算公式。与现有计算公式的结果比较,本文提出的方法适用范围较广,计算精度也有提高,同时计算公式形式简单。
At present, when analyzing the temperature internal forces of concrete circular arch bridges using the structural mechanics principle, some factors are omitted due to the reasons of calculation, and the results obtained are approximate. Under normal circumstances, the errors have exceeded the allowable range. At the same time, the solution obtained by structural mechanics is limited to a situation of a stationary temperature field. In this paper, based on the theory of elasticity, a set of basic differential equations for temperature change of circular arches is established, and the variable temperature field and the steady temperature field are solved respectively, and the various displacements and internal force calculation formulas of the arch are obtained. Compared with the results of the existing calculation formulas, the proposed method has a wide range of application, and the calculation accuracy is also improved. At the same time, the calculation formula is simple in form.