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对于具有常弯曲刚度EI、内跨跨径相同的对称结构情形,连续梁可以用非常精确的方法分析。当荷载仅作用于某一跨时,所有端弯矩可以用基于节点转动变形协词所导出的系数。再通过简单运算直接确定,而无须迭代或解联立方程。多个荷载作用于几跨时的结果通过叠加随即也可求得。本文给出了具有三跨或四跨连续梁端弯矩的解析表达式,对于任意跨数的情况也随后给出了一般公式。该一般式可采用袖珍计算机进行运算。本文还提供了公路连续梁桥中计算恒载和车辆荷载引起的弯矩的解析表达式,并建议将桥梁设计车辆所带来的多个集中荷载视为一个单元处理。在此基础上,本文给出了实际应用本方法的示例。该法特别适合设计工作者的需要。
For a symmetrical structure with constant bending stiffness EI and equal inner span span, continuous beams can be analyzed with very precise methods. When the load acts on a certain span only, all the bending moment can be calculated based on the coefficients derived from the rotational deformation of the node. It can be directly determined by a simple calculation without the need to iteratively solve the simultaneous equations. The results of multiple loads acting on several spans can also be obtained by superposition. In this paper, we give the analytical expressions of end bending moment of three-span or four-span continuous beams, and then give the general formula for any span number. The general formula can be used pocket computer computing. This paper also provides analytical expressions for calculating bending moment caused by dead load and vehicle load in continuous highway bridges. It is suggested that multiple concentrated loads caused by bridge design vehicles be treated as one unit. On this basis, this article gives an example of the practical application of this method. The law is particularly suitable for the needs of designers.