考虑全截面剪切的钢闸门宽翼工字形深梁解析计算方法

吴思远; 王正中

doi:10.16511/j.cnki.qhdxxb.2018.22.055

清华大学学报（自然科学版） >

2019 , Vol. 59 >Issue 5: 380 - 387

DOI: https://doi.org/10.16511/j.cnki.qhdxxb.2018.22.055

水利水电工程

考虑全截面剪切的钢闸门宽翼工字形深梁解析计算方法

吴思远 ,
王正中

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1. 同济大学土木工程防灾国家重点实验室, 上海 200092;
2. 同济大学结构工程与防灾研究所, 上海 200092;
3. 西北农林科技大学旱区寒区水工程安全研究中心, 杨凌 712100

收稿日期: 2018-06-19

网络出版日期: 2019-05-14

基金资助

国家自然科学基金项目（51179164）；国家科技支撑计划项目（2012BAD10B02）；高等学校博士学科点专项科研基金项目（20120204110024）

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Analytical method for a steel gate wide flange I-shaped deep beam with shear over the whole section

WU Siyuan ,
WANG Zhengzhong

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1. State Key Laboratory of Disaster Reduction in Civil Engineering, Tongji University, Shanghai 200092, China;
2. Research Institute of Structural Engineering and Disaster Reduction, Tongji University, Shanghai 200092, China;
3. Cold & Arid Regions Water Engineering Safety Research Center, Northwest A & F University, Yangling 712100, China

Received date: 2018-06-19

Online published: 2019-05-14

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摘要

横截面剪切变形对薄壁梁力学特性的影响尤为突出，导致传统设计中所采用的细长梁理论计算结果误差较大。水工钢闸门中，面板兼作主梁翼缘，在高水头下主梁具有短深梁非线性受力特点。该文基于能量变分法综合考虑全截面剪切效应，通过合理选取纵向位移函数及翘曲形函数，推导出工字形梁挠度、弯曲正应力及固有频率解析计算公式，并与有限元及现有解析计算方法进行对比分析。结果表明：当跨高比和跨宽比较小时剪切效应对弯曲正应力影响较大，在集中荷载作用下该现象更为显著。在计算固有频率时，剪切效应使其减小。相比于现有解析方法，该计算结果精度较高，且适用范围更广，可用于结构设计。

关键词： 钢闸门; 工字形梁; 剪切效应; 能量变分法; 解析计算方法

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吴思远 , 王正中 . 考虑全截面剪切的钢闸门宽翼工字形深梁解析计算方法[J]. 清华大学学报（自然科学版）, 2019 , 59(5) : 380 -387 . DOI: 10.16511/j.cnki.qhdxxb.2018.22.055

Abstract

The shear deformation transversal section effect can have a large effect on the mechanical properties of thin-walled beam, which can lead to enormous calculation errors when using primary beam theory in traditional designs. The faceplate of a hydraulic steel gate in a dam acts as a flange on the main beam with the main beam having the nonlinear stress characteristics of short deep beams at high heads. The energy-variational method for the shear deformation energy of the whole I-beam section is used in this study with proper selection of the longitudinal displacement function and the warping function to derive formulas for the deflection, bending normal stress and natural frequency of the beam. The results compare well with various analytical methods and finite element results. The results indicate that when the span-depth ratio or the span-width ratio is small, the bending normal stress is greatly affected by the transverse shear with concentrated loads giving greater effects, but the shear effect reduces the nature frequency calculated using other methods. The current method gives more accurate results than existing analytical methods with an extended range of applications for structural designs.

Key words： steel gate; I-beam; shear effect; energy-variational method; analytical calculation method

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