A Comprehensive Formula to Predict the Shear Contribution of FRP Sheets in Strengthened Reinforced Concrete Deep Beams
Retrofitting of reinforced concrete beams using fiber-reinforced polymer (FRP) sheets is one of the most commonly used methods to enhance shear and bending behavior. A comprehensive review shows that the presented formulas are insufficiently accurate to predict the shear contribution of FRP sheets....
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| Veröffentlicht in: | Iranian journal of science and technology. Transactions of civil engineering 2023-10, Vol.47 (5), p.2731-2751 |
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| container_title | Iranian journal of science and technology. Transactions of civil engineering |
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| creator | Omidi, Mehdi Kamgar, Reza Jahangiri, Ali Reza |
| description | Retrofitting of reinforced concrete beams using fiber-reinforced polymer (FRP) sheets is one of the most commonly used methods to enhance shear and bending behavior. A comprehensive review shows that the presented formulas are insufficiently accurate to predict the shear contribution of FRP sheets. Researchers have also studied only 45° and 90° for the FRP sheets in previous research. This paper presents a comprehensive formula for evaluating the shear contribution of full- and U-wrap FRP sheets. For this purpose, experimental data are collected for angles of 45° and 90°. Then, two experimental tests are modeled using ABAQUS software. After verifying the models, the shear contribution of FRP sheets is determined for different values of the input parameters and at the angles of 30°, 60° and 75°. Therefore, to present a formula for evaluating the shear contribution of FRP sheets, multigene genetic programming is used. The results show that the presented formula has sufficient accuracy in computing the shear contribution of FRP sheets at angles of 30°, 45°, 60°, 75° and 90° in comparison with other existing formulas from codes and literature. The effect of width, thickness, the ultimate strain of FRP, effective depth of FRP, beam shear span length, the effective depth of the concrete beam, spacing between the FRP strips, compressive strengths, angle of FRP sheets, and elasticity modulus of FRP sheets is considered on computing the shear contribution of FRP sheets. The results show that the mean absolute percentage error (MAPE), root mean square error (RMSE), and
R
2
for the proposed formulas are 12.48, 9.84 and 0.98, respectively, which performs better than the other existing methods. |
| doi_str_mv | 10.1007/s40996-023-01118-6 |
| format | Article |
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R
2
for the proposed formulas are 12.48, 9.84 and 0.98, respectively, which performs better than the other existing methods.</description><identifier>ISSN: 2228-6160</identifier><identifier>EISSN: 2364-1843</identifier><identifier>DOI: 10.1007/s40996-023-01118-6</identifier><language>eng</language><publisher>Cham: Springer International Publishing</publisher><subject>Civil Engineering ; Computation ; Engineering ; Fiber reinforced concretes ; Fiber reinforced plastics ; Fiber reinforced polymers ; Finite element method ; Genetic algorithms ; Mathematical models ; Polymers ; Reinforced concrete ; Research Paper ; Retrofitting ; Root-mean-square errors ; Shear</subject><ispartof>Iranian journal of science and technology. Transactions of civil engineering, 2023-10, Vol.47 (5), p.2731-2751</ispartof><rights>The Author(s), under exclusive licence to Shiraz University 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c319t-192fcb6e3f170652586ca5f3c8535b0eeb026f1c3c0d0e947641d1ba76172e13</citedby><cites>FETCH-LOGICAL-c319t-192fcb6e3f170652586ca5f3c8535b0eeb026f1c3c0d0e947641d1ba76172e13</cites><orcidid>0000-0002-6575-7122</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s40996-023-01118-6$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s40996-023-01118-6$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27923,27924,41487,42556,51318</link.rule.ids></links><search><creatorcontrib>Omidi, Mehdi</creatorcontrib><creatorcontrib>Kamgar, Reza</creatorcontrib><creatorcontrib>Jahangiri, Ali Reza</creatorcontrib><title>A Comprehensive Formula to Predict the Shear Contribution of FRP Sheets in Strengthened Reinforced Concrete Deep Beams</title><title>Iranian journal of science and technology. Transactions of civil engineering</title><addtitle>Iran J Sci Technol Trans Civ Eng</addtitle><description>Retrofitting of reinforced concrete beams using fiber-reinforced polymer (FRP) sheets is one of the most commonly used methods to enhance shear and bending behavior. A comprehensive review shows that the presented formulas are insufficiently accurate to predict the shear contribution of FRP sheets. Researchers have also studied only 45° and 90° for the FRP sheets in previous research. This paper presents a comprehensive formula for evaluating the shear contribution of full- and U-wrap FRP sheets. For this purpose, experimental data are collected for angles of 45° and 90°. Then, two experimental tests are modeled using ABAQUS software. After verifying the models, the shear contribution of FRP sheets is determined for different values of the input parameters and at the angles of 30°, 60° and 75°. Therefore, to present a formula for evaluating the shear contribution of FRP sheets, multigene genetic programming is used. The results show that the presented formula has sufficient accuracy in computing the shear contribution of FRP sheets at angles of 30°, 45°, 60°, 75° and 90° in comparison with other existing formulas from codes and literature. The effect of width, thickness, the ultimate strain of FRP, effective depth of FRP, beam shear span length, the effective depth of the concrete beam, spacing between the FRP strips, compressive strengths, angle of FRP sheets, and elasticity modulus of FRP sheets is considered on computing the shear contribution of FRP sheets. The results show that the mean absolute percentage error (MAPE), root mean square error (RMSE), and
R
2
for the proposed formulas are 12.48, 9.84 and 0.98, respectively, which performs better than the other existing methods.</description><subject>Civil Engineering</subject><subject>Computation</subject><subject>Engineering</subject><subject>Fiber reinforced concretes</subject><subject>Fiber reinforced plastics</subject><subject>Fiber reinforced polymers</subject><subject>Finite element method</subject><subject>Genetic algorithms</subject><subject>Mathematical models</subject><subject>Polymers</subject><subject>Reinforced concrete</subject><subject>Research Paper</subject><subject>Retrofitting</subject><subject>Root-mean-square errors</subject><subject>Shear</subject><issn>2228-6160</issn><issn>2364-1843</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><recordid>eNp9kEFLAzEQhRdRsNT-AU8Bz6szyW5291irVUGwtL2H3XS23dIma5IW_PemVvDmaR4z33sDL0luEe4RoHjwGVSVTIGLFBCxTOVFMuBCZimWmbiMmvO4RAnXycj7LQAgFAJkOUiOYzax-97RhozvjsSm1u0Pu5oFy2aOVp0OLGyILTZUu4ia4LrmEDprmG3ZdD47XSh41hm2CI7MOtKGVmxOnWmt01FGl3YUiD0R9eyR6r2_Sa7aeudp9DuHyXL6vJy8pu8fL2-T8XuqBVYhxYq3upEkWixA5jwvpa7zVugyF3kDRA1w2aIWGlZAVVbIDFfY1IXEghOKYXJ3ju2d_TyQD2prD87Ej4rHCMi5yE4UP1PaWe8dtap33b52XwpBnRpW54ZVbFj9NKxkNImzyUfYrMn9Rf_j-gYYIX3f</recordid><startdate>20231001</startdate><enddate>20231001</enddate><creator>Omidi, Mehdi</creator><creator>Kamgar, Reza</creator><creator>Jahangiri, Ali Reza</creator><general>Springer International Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FD</scope><scope>FR3</scope><scope>KR7</scope><orcidid>https://orcid.org/0000-0002-6575-7122</orcidid></search><sort><creationdate>20231001</creationdate><title>A Comprehensive Formula to Predict the Shear Contribution of FRP Sheets in Strengthened Reinforced Concrete Deep Beams</title><author>Omidi, Mehdi ; Kamgar, Reza ; Jahangiri, Ali Reza</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c319t-192fcb6e3f170652586ca5f3c8535b0eeb026f1c3c0d0e947641d1ba76172e13</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Civil Engineering</topic><topic>Computation</topic><topic>Engineering</topic><topic>Fiber reinforced concretes</topic><topic>Fiber reinforced plastics</topic><topic>Fiber reinforced polymers</topic><topic>Finite element method</topic><topic>Genetic algorithms</topic><topic>Mathematical models</topic><topic>Polymers</topic><topic>Reinforced concrete</topic><topic>Research Paper</topic><topic>Retrofitting</topic><topic>Root-mean-square errors</topic><topic>Shear</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Omidi, Mehdi</creatorcontrib><creatorcontrib>Kamgar, Reza</creatorcontrib><creatorcontrib>Jahangiri, Ali Reza</creatorcontrib><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Civil Engineering Abstracts</collection><jtitle>Iranian journal of science and technology. Transactions of civil engineering</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Omidi, Mehdi</au><au>Kamgar, Reza</au><au>Jahangiri, Ali Reza</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A Comprehensive Formula to Predict the Shear Contribution of FRP Sheets in Strengthened Reinforced Concrete Deep Beams</atitle><jtitle>Iranian journal of science and technology. Transactions of civil engineering</jtitle><stitle>Iran J Sci Technol Trans Civ Eng</stitle><date>2023-10-01</date><risdate>2023</risdate><volume>47</volume><issue>5</issue><spage>2731</spage><epage>2751</epage><pages>2731-2751</pages><issn>2228-6160</issn><eissn>2364-1843</eissn><abstract>Retrofitting of reinforced concrete beams using fiber-reinforced polymer (FRP) sheets is one of the most commonly used methods to enhance shear and bending behavior. A comprehensive review shows that the presented formulas are insufficiently accurate to predict the shear contribution of FRP sheets. Researchers have also studied only 45° and 90° for the FRP sheets in previous research. This paper presents a comprehensive formula for evaluating the shear contribution of full- and U-wrap FRP sheets. For this purpose, experimental data are collected for angles of 45° and 90°. Then, two experimental tests are modeled using ABAQUS software. After verifying the models, the shear contribution of FRP sheets is determined for different values of the input parameters and at the angles of 30°, 60° and 75°. Therefore, to present a formula for evaluating the shear contribution of FRP sheets, multigene genetic programming is used. The results show that the presented formula has sufficient accuracy in computing the shear contribution of FRP sheets at angles of 30°, 45°, 60°, 75° and 90° in comparison with other existing formulas from codes and literature. The effect of width, thickness, the ultimate strain of FRP, effective depth of FRP, beam shear span length, the effective depth of the concrete beam, spacing between the FRP strips, compressive strengths, angle of FRP sheets, and elasticity modulus of FRP sheets is considered on computing the shear contribution of FRP sheets. The results show that the mean absolute percentage error (MAPE), root mean square error (RMSE), and
R
2
for the proposed formulas are 12.48, 9.84 and 0.98, respectively, which performs better than the other existing methods.</abstract><cop>Cham</cop><pub>Springer International Publishing</pub><doi>10.1007/s40996-023-01118-6</doi><tpages>21</tpages><orcidid>https://orcid.org/0000-0002-6575-7122</orcidid></addata></record> |
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| subjects | Civil Engineering Computation Engineering Fiber reinforced concretes Fiber reinforced plastics Fiber reinforced polymers Finite element method Genetic algorithms Mathematical models Polymers Reinforced concrete Research Paper Retrofitting Root-mean-square errors Shear |
| title | A Comprehensive Formula to Predict the Shear Contribution of FRP Sheets in Strengthened Reinforced Concrete Deep Beams |
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