悬索桥计算分析的弯矩图理论及软件介绍

本文揭示了悬索桥缆索在垂直荷载作用下,索的几何形状和简支梁弯矩图的对应关系,相对应的悬索桥结构分析计算的弹性理论、挠度理论、有限位移理论而言,这可称为弯矩图理论。由于简支梁的弯矩图计算方便、直观、概念清晰,可大大简化悬索桥结构分析计算,而且是精确的解析解。按弯矩图理论编写了悬索桥的索形计算软件,可以计算空缆线形和吊杆力作用下的成桥线形,并介绍了软件功能及使用方法。

Theory and software introduction of bending moment diagram for calculation and analysis of suspension bridge

This paper reveals the corresponding relationship between the geometric shape of the cable and the bending moment diagram of the simply supported beam under the vertical load of the suspension bridge cable, which can be called the bending moment diagram theory in terms of the elastic theory, deflection theory and finite displacement theory of the suspension bridge structure analysis and calculation. Because the bending moment diagram of simply supported beam is convenient, intuitive and clear in concept, it can greatly simplify the structural analysis and calculation of suspension bridge, and is an accurate analytical solution. The cable shape calculation software of suspension bridge is compiled according to the bending moment diagram theory, which can calculate the empty cable shape and the completed bridge shape under the action of suspender force, and introduces the software function and use method.