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本文就近年拱桥与渡槽工程实践中出现的宽跨比远小于《桥梁设计规范》常规容许值1/15~1/20的大跨径“长拱”工程,总结论述了两类较优板拱的拱体造型,并就适于推广的典型变宽箱形及变宽双曲形长拱的侧向稳定性验算进行了理论分析。在研究了各拱形的典型截面几何变量和变形机制的基础上,引用能量原理和近似变形函数,经数理解析、简化计算过程,得到适用临界力定量表达式。就已建工程实例进行对比计算和分析表明,该公式符合绝大多数常遇的拱体构造实际,而且力的物理概念明确、计算简便,既便于拱体稳定数值计算,又可供方案设计阶段的优化工作应用。本文还指出了长拱径桥梁(包括渡槽)轻型拱体设计中拱轴系数的确定,不收敛徐变的设防及非圆弧拱的等代变换问题。
In this paper, the wide-span ratio of arch bridge and aqueduct project in recent years is far less than the long-span “long arch” project, which is generally accepted by the “Code for Bridge Design” from 1/15 to 1/20. , And the theoretical analysis of the lateral stability checking of typical widened box and widened hyperbolic long arch which is suitable for generalization is carried out. On the basis of studying the typical geometric deformation and deformation mechanism of each arch, the energy principle and approximate deformation function are referenced and the mathematical expressions are simplified to simplify the calculation process. The comparative analysis and calculation of the constructed projects show that the formula accords with the most common arch structures, and the physical concept of force is clear and the calculation is simple. It not only facilitates the stable numerical calculation of the arch, but also can be used in the design stage Optimization work applications. This paper also points out the determination of the arch coefficient, the fortification of non-convergent creep and the equivalent transformation of non-circular arc arch in the design of light arch of long arch bridge (including aqueduct).