仙涌村中桥斜转正连续箱梁的设计验算

论文总字数：42041字

摘 要

本文结合花都至东莞高速公路仙涌村2号大桥引桥第六联的初步设计方案，采用有限元分析软件 Midas Civil 2019对其上部结构（斜转正连续箱梁）进行空间有限元分析。首先，确定应用梁格法模型进行有限元分析的基本思路。本文先基于前人的研究成果就梁格法在连续斜箱梁桥上的应用做出总结归纳，阐述了梁格法结合连续斜箱梁的分析方法。然后基于梁格法建立有限元模型，在模型建立之后，根据相关的交通部规范，对全桥的主梁结构模型施加自重、桥面铺装、防撞护栏等恒载，还有温度作用，温度梯度作用，支座沉降等作用，并进行荷载组合。然后，进行全桥整体受力分析与验算，即持久状况下的承载能力极限状态和持久状况下的正常使用极限状态下的验算。包括主梁抗弯承载力、抗剪承载力的验算，应力验算，抗裂性验算，挠度验算。还进行了短暂状况的应力验算。此外，基于该桥的初步设计方案，本文给出了上部结构的指导性的施工方案。最后，基于所建立的有限元模型，本文将简支体系和连续体系的斜梁桥做了部分简单的对比分析，并对连续斜梁桥的应用进行展望。

关键词：梁格法、连续斜梁桥、连续箱梁、强度验算、应力验算、刚度验算

Abstract

In this thesis, combined with the preliminary design scheme of the approach bridge of Xianyongcun bridge on the Huadu to Dongguan expressway, finite element analysis software Midas Civil 2019 was used to carry out spatial finite element analysis of its superstructure, which is mainly consists of a continuous box girder. Firstly, the basic idea of finite element analysis with grid frame method is determined. Based on the previous research results, this thesis summarizes the application of grid frame method on continuous skew box girder bridge, and expounds the analysis method of grid frame method on continuous skew box girder. After a finite element model, which is based on grid frame method, is established, dead load (including self-weight of the girder structure, bridge deck pavement and crash barrier), temperature load, temperature gradient load, settlement of bearing is applied. And load combination is followed. Then, the overall force analysis and checking of the whole bridge is carried out, that is, the ultimate limit states under the durable condition and the serviceability limit states under the durable condition, including the flexural strength checking, shear capacity checking, stress checking, crack resistance checking and deflection checking of the whole bridge. Stress checking of transient condition is also carried out. In addition, based on the preliminary design of the bridge, this thesis gives some guidance of construction of the superstructure. Finally, based on the established finite element model, this thesis makes a simple partial comparative analysis between the simply supported skew slab and the continuous skew box girder, and forecasts the application of the continuous skew box girder bridge.

Keywords: Grid frame method; Continuous skew box girder bridge; Continuous Box Girder Bridge; Strength Checking; Force Checking; Stiffness Checking

目 录

摘要 I

Abstract II

1 绪论 1

1.1 斜梁桥概述 1

1.2 梁格法 2

1.3 本文主要内容 3

2 工程介绍 4

2.1 总体布置 4

2.2 结构体系 4

2.3 主要材料及性能 5

2.3 主要技术标准 5

3有限元建模分析 6

3.1 基本原理 6

3.2 计算模型 6

3.2.1 单元和节点 6

3.2.2 特性 7

3.3.3 梁格划分 8

3.3.4 边界 8

3.3 作用与作用效应组合 8

3.3.1 自重 8

3.3.2 二期恒载 8

3.3.3 汽车荷载 9

3.3.4 温度荷载 9

3.3.5 支座沉降 9

3.3.6 作用效应组合 9

3.3.7 荷载工况和施工阶段 11

4 全桥整体分析与验算 12

4.1 正截面承载力计算 12

4.1.1 Midas Civil 分析 12

4.1.2 手算 13

4.2 斜截面承载力计算 15

4.2.1 斜截面抗剪承载力计算 15

4.2.2 斜截面抗弯承载力 15

4.3 应力验算 15

4.3.1 短暂状况的应力计算 15

4.3.2 持久状况的应力计算 16

4.4 抗裂性验算 17

4.4.1 正截面抗裂性验算 17

4.4.2 斜截面抗裂性验算 18

4.5 变形计算 18

5 指导性的施工方案 20

6 简支、连续斜梁桥对比分析 22

6.1 支承边反力 22

6.2 钝角负弯矩 23

7 结语与展望 25

7.1 结语 25

7.2 展望 25

附表 26

附表1 抗弯承载力验算详细计算表格 26

附表2 斜截面抗剪验算详细计算表格（1#腹板） 30

附表3 短暂状况应力计算详细计算表格（2#腹板） 33

附表4 正截面混凝土法向压应力验算详细计算表格（2#腹板） 36

附表5 正截面受拉区钢筋拉应力验算详细计算表格 38

附表6 斜截面混凝土的主压应力验算详细计算表格（2#腹板） 39

附表7 结构正截面抗裂验算详细计算表格（2#腹板） 41

附表8 结构斜截面抗裂验算详细计算表格（2#腹板） 43

参考文献（References） 45

致 谢 46

1 绪论

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