{"title":"Analysis on distortion effect of twin-cell box girders with inclined side webs based on finite beam-segment element","authors":"Yanhong Wei, Yuanhai Zhang","doi":"10.1016/j.tws.2025.113137","DOIUrl":null,"url":null,"abstract":"<div><div>The conventional methods for analyzing the distortion effect of box girders cannot provide a practical formula for calculating the distortional moment of inertia of twin-cell box section (TCBS) with inclined side webs (ISW), which causes significant inconvenience in engineering design. Therefore, an explicit formula for determining the distortional moment of inertia was proposed firstly in this study based on flexural analysis of a unit-length frame with geometry of the box section. Then a distortional governed differential equation was established by applying the energy variation principle, and a homogeneous solution to the equation was derived. Subsequently, the solution was utilized as a distortional displacement interpolation function to establish a finite beam-segment element formulation for analyzing the distortion effect of continuous box girder bridges with variable depth, and a finite beam-segment element program (FBEP) was developed using the FORTRAN language. Moreover, the reliability of the formula and the FBEP was validated by comparison with the available experimental data, Shell finite element (Shell FE) analysis results, and results provided by the peers. Finally, the distortion effect of a practical twin-cell three-span continuous box girder bridge with variable depth and inclined side webs was analyzed using the FBEP, when the bridge is subjected to the lane load specified in Chinese specifications. The results show that the distortion effect caused by the two-lane load is most remarkable, when the width of bridge deck can only accommodate three lanes. The main span of the bridge should be designed according to three-lane load, whereas the design of side spans should consider the most unfavorable condition caused by either two-lane load or three-lane load. In addition, the FBEP can also serve as an effective tool for determining the distortional warping normal stress amplification factor and making a preliminary estimate to the numbers of diaphragms.</div></div>","PeriodicalId":49435,"journal":{"name":"Thin-Walled Structures","volume":"212 ","pages":"Article 113137"},"PeriodicalIF":5.7000,"publicationDate":"2025-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Thin-Walled Structures","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0263823125002319","RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, CIVIL","Score":null,"Total":0}
引用次数: 0
Abstract
The conventional methods for analyzing the distortion effect of box girders cannot provide a practical formula for calculating the distortional moment of inertia of twin-cell box section (TCBS) with inclined side webs (ISW), which causes significant inconvenience in engineering design. Therefore, an explicit formula for determining the distortional moment of inertia was proposed firstly in this study based on flexural analysis of a unit-length frame with geometry of the box section. Then a distortional governed differential equation was established by applying the energy variation principle, and a homogeneous solution to the equation was derived. Subsequently, the solution was utilized as a distortional displacement interpolation function to establish a finite beam-segment element formulation for analyzing the distortion effect of continuous box girder bridges with variable depth, and a finite beam-segment element program (FBEP) was developed using the FORTRAN language. Moreover, the reliability of the formula and the FBEP was validated by comparison with the available experimental data, Shell finite element (Shell FE) analysis results, and results provided by the peers. Finally, the distortion effect of a practical twin-cell three-span continuous box girder bridge with variable depth and inclined side webs was analyzed using the FBEP, when the bridge is subjected to the lane load specified in Chinese specifications. The results show that the distortion effect caused by the two-lane load is most remarkable, when the width of bridge deck can only accommodate three lanes. The main span of the bridge should be designed according to three-lane load, whereas the design of side spans should consider the most unfavorable condition caused by either two-lane load or three-lane load. In addition, the FBEP can also serve as an effective tool for determining the distortional warping normal stress amplification factor and making a preliminary estimate to the numbers of diaphragms.
期刊介绍:
Thin-walled structures comprises an important and growing proportion of engineering construction with areas of application becoming increasingly diverse, ranging from aircraft, bridges, ships and oil rigs to storage vessels, industrial buildings and warehouses.
Many factors, including cost and weight economy, new materials and processes and the growth of powerful methods of analysis have contributed to this growth, and led to the need for a journal which concentrates specifically on structures in which problems arise due to the thinness of the walls. This field includes cold– formed sections, plate and shell structures, reinforced plastics structures and aluminium structures, and is of importance in many branches of engineering.
The primary criterion for consideration of papers in Thin–Walled Structures is that they must be concerned with thin–walled structures or the basic problems inherent in thin–walled structures. Provided this criterion is satisfied no restriction is placed on the type of construction, material or field of application. Papers on theory, experiment, design, etc., are published and it is expected that many papers will contain aspects of all three.