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Simplified Analysis for Preliminary Design of Towers in Suspension Bridges

机译:悬索桥塔架初步设计的简化分析

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摘要

This paper proposes an equivalent suspension bridge model for the preliminary design of support towers of suspension bridges. In this simplified model, the bridge is composed of its support towers, with equivalent springs replacing suspension cables and girders. An explicit formula for the spring stiffness was derived for the horizontal stiffness at the end of an inclined main cable and compared with Ernst's formula as well as finite-element analysis results. For the analysis of the model, dead and live loads acting on the girders of each span were replaced with horizontal and vertical forces calculated using the deflection theory and placed on the tops of the support towers. Equilibrium equations were derived from free-body diagrams for each tower and their solutions were obtained from boundary conditions at the ends of the towers. This resulted in the formulation of nonlinear load-displacement equations in matrix form for the simplified bridge model. An example four-span suspension bridge was analyzed for displacements at the tops of the towers and moment reactions at the bottoms of the towers under six live-load cases. A comparison of the model predictions with a FEM analysis showed excellent agreement. The results prove that the proposed analysis method can be a useful alternative for the preliminary analysis and design of suspension bridge towers.
机译:本文提出了一种等效的悬索桥模型,用于悬索桥支撑塔的初步设计。在此简化模型中,桥梁由其支撑塔组成,并用等效弹簧代替悬索和大梁。为倾斜主缆线末端的水平刚度导出了一个明确的弹簧刚度公式,并将其与恩斯特公式以及有限元分析结果进行了比较。为了分析模型,作用在每个跨度大梁上的恒载和活载被用挠度理论计算的水平和垂直力所代替,并放置在支撑塔的顶部。从每座塔的自由图得出平衡方程,并从塔端的边界条件获得其解。这样就为简化的桥梁模型以矩阵形式制定了非线性载荷-位移方程。分析了一个示例的四跨悬索桥在六个活载情况下塔顶的位移和塔底的弯矩反应。模型预测与有限元分析的比较显示出极好的一致性。结果表明,所提出的分析方法可作为悬索桥塔架的初步分析和设计的有用方法。

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