Modified Branson’s Formula for Deflection of FRP Strengthened Concrete Beams

H. Rasheed, H. Charkas
{"title":"Modified Branson’s Formula for Deflection of FRP Strengthened Concrete Beams","authors":"H. Rasheed, H. Charkas","doi":"10.14359/51663263","DOIUrl":null,"url":null,"abstract":"This paper will discuss how the use of externally bonded FRP plates and sheets has been established as an effective mean to strengthen concrete beams in flexure and shear. Several investigators have shown that the direct use of Branson equation does not yield conservative deflection results especially after steel yielding. The authors have developed an analytical solution that generates closed form expressions for deflection in simple beams. These expressions were shown to reproduce results that compared well with experiments. These expressions were dependent on the loading condition while Branson equation is not load specific. Branson equation is modified by replacing the cracked section moment of inertia with an effective moment of inertia at steel yielding to evaluate deflections at the service load levels. This revised formula could be easily implemented in the ACI 440.2R format. The predictions are compared against Branson equation and experimental evidence. Furthermore, another new modification to Branson equation is proposed for the region covering response from steel yielding and up to ultimate capacity.","PeriodicalId":205144,"journal":{"name":"SP-264: Serviceability of Concrete Members Reinforced with Internal/External FRP Reinforcement","volume":"9 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"SP-264: Serviceability of Concrete Members Reinforced with Internal/External FRP Reinforcement","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.14359/51663263","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1

Abstract

This paper will discuss how the use of externally bonded FRP plates and sheets has been established as an effective mean to strengthen concrete beams in flexure and shear. Several investigators have shown that the direct use of Branson equation does not yield conservative deflection results especially after steel yielding. The authors have developed an analytical solution that generates closed form expressions for deflection in simple beams. These expressions were shown to reproduce results that compared well with experiments. These expressions were dependent on the loading condition while Branson equation is not load specific. Branson equation is modified by replacing the cracked section moment of inertia with an effective moment of inertia at steel yielding to evaluate deflections at the service load levels. This revised formula could be easily implemented in the ACI 440.2R format. The predictions are compared against Branson equation and experimental evidence. Furthermore, another new modification to Branson equation is proposed for the region covering response from steel yielding and up to ultimate capacity.
FRP加固混凝土梁挠度的修正布兰森公式
本文将讨论如何使用外粘接玻璃钢板和薄板已被建立为一种有效的手段,以加强混凝土梁的弯曲和剪切。一些研究人员已经表明,直接使用布兰森方程不能产生保守的挠度结果,特别是在钢屈服后。作者已经开发了一种解析解,它产生了简单梁挠度的封闭形式表达式。这些表达式被证明能很好地再现实验结果。这些表达式依赖于荷载条件,而布兰森方程不受荷载影响。对布兰森方程进行修正,用钢屈服时的有效惯性矩代替开裂截面的惯性矩来计算在工作荷载水平下的挠度。这个修改后的公式可以很容易地在aci440.2 r格式中实现。将预测结果与布兰森方程和实验证据进行了比较。此外,对布兰森方程提出了另一种新的修正,用于涵盖从钢屈服到极限能力的响应区域。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信