Modelling of tension-stiffening in bending RC elements based on equivalent stiffness of the rebar
The contribution of tensioned concrete between cracks (tension-stiffening) cannot be ignored when analysing deformation of reinforced concrete elements. The tension-stiffening effect is crucial when it comes to adequately estimating the load-deformation response of steel reinforced concrete and the...
| Autores: | , , , |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2015 |
| País: | España |
| Institución: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositorio: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:10256/12347 |
| Acceso en línea: | http://hdl.handle.net/10256/12347 |
| Access Level: | acceso embargado |
| Palabra clave: | Assaigs de materials Materials -- Testing Resistència de materials Strength of materials Esforç i tensió Strains and stresses Formigó armat -- Proves Reinforced concrete -- Testing |
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Modelling of tension-stiffening in bending RC elements based on equivalent stiffness of the rebarTorres Llinàs, LluísBarris Peña, CristinaKaklauskas, GintarisGribniak, ViktorAssaigs de materialsMaterials -- TestingResistència de materialsStrength of materialsEsforç i tensióStrains and stressesFormigó armat -- ProvesReinforced concrete -- TestingThe contribution of tensioned concrete between cracks (tension-stiffening) cannot be ignored when analysing deformation of reinforced concrete elements. The tension-stiffening effect is crucial when it comes to adequately estimating the load-deformation response of steel reinforced concrete and the more recently appeared fibre reinforced polymer (FRP) reinforced concrete. This paper presents a unified methodology for numerical modelling of the tension-stiffening effect in steel as well as FRP reinforced flexural members using the concept of equivalent deformation modulus and the smeared crack approach to obtain a modified stress-strain relation of the reinforcement. A closed-form solution for the equivalent secant modulus of deformation of the tensioned reinforcement is proposed for rectangular sections taking the Eurocode 2 curvature prediction technique as the reference. Using equations based on general principles of structural mechanics, the main influencing parameters are obtained. It is found that the ratio between the equivalent stiffness and the initial stiffness basically depends on the product of the modular ratio and reinforcement ratio (nρ), the effective-to-total depth ratio (d/h), and the level of loading. The proposed methodology is adequate for numerical modelling of tension-stiffening for different FRP and steel reinforcement, under both service and ultimate conditions. Comparison of the predicted and experimental data obtained by the authors indicates that the proposed methodology is capable to adequately model the tension-stiffening effect in beams reinforced with FRP or steel bars within wide range of loadingThe authors acknowledge the support provided by the Spanish Government (Ministerio de Ciencia e Innovación), Project ref. BIA2010-20234-C03-02. The authors also gratefully acknowledge the financial support provided by the Research Council of Lithuania (Project No.MIP–083/2012) and the European Social Fund (Project No. VP1-3.1-ŠMM-08-K-01-020). Furthermore, the authors would like to thank COST Action TU 1207 “Next Generation Design Guidelines for Composites in Construction” for facilitating their collaborationTechno-PressMinisterio de Ciencia e Innovación (Espanya)infoinfo2015info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/10256/12347http://hdl.handle.net/10256/12347© Structural Engineering and Mechanics, 2015, vol. 53, núm. 5, p. 997-1016Articles publicats (D-EMCI)reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)Inglésinfo:eu-repo/semantics/altIdentifier/doi/10.12989/sem.2015.53.5.997info:eu-repo/semantics/altIdentifier/issn/1225-4568info:eu-repo/semantics/altIdentifier/eissn/1598-6217info:eu-repo/grantAgreement/MICINN//BIA2010-20234-C03-02Tots els drets reservatsinfo:eu-repo/semantics/embargoedAccessoai:recercat.cat:10256/123472026-05-29T05:05:01Z |
| dc.title.none.fl_str_mv |
Modelling of tension-stiffening in bending RC elements based on equivalent stiffness of the rebar |
| title |
Modelling of tension-stiffening in bending RC elements based on equivalent stiffness of the rebar |
| spellingShingle |
Modelling of tension-stiffening in bending RC elements based on equivalent stiffness of the rebar Torres Llinàs, Lluís Assaigs de materials Materials -- Testing Resistència de materials Strength of materials Esforç i tensió Strains and stresses Formigó armat -- Proves Reinforced concrete -- Testing |
| title_short |
Modelling of tension-stiffening in bending RC elements based on equivalent stiffness of the rebar |
| title_full |
Modelling of tension-stiffening in bending RC elements based on equivalent stiffness of the rebar |
| title_fullStr |
Modelling of tension-stiffening in bending RC elements based on equivalent stiffness of the rebar |
| title_full_unstemmed |
Modelling of tension-stiffening in bending RC elements based on equivalent stiffness of the rebar |
| title_sort |
Modelling of tension-stiffening in bending RC elements based on equivalent stiffness of the rebar |
| dc.creator.none.fl_str_mv |
Torres Llinàs, Lluís Barris Peña, Cristina Kaklauskas, Gintaris Gribniak, Viktor |
| author |
Torres Llinàs, Lluís |
| author_facet |
Torres Llinàs, Lluís Barris Peña, Cristina Kaklauskas, Gintaris Gribniak, Viktor |
| author_role |
author |
| author2 |
Barris Peña, Cristina Kaklauskas, Gintaris Gribniak, Viktor |
| author2_role |
author author author |
| dc.contributor.none.fl_str_mv |
Ministerio de Ciencia e Innovación (Espanya) |
| dc.subject.none.fl_str_mv |
Assaigs de materials Materials -- Testing Resistència de materials Strength of materials Esforç i tensió Strains and stresses Formigó armat -- Proves Reinforced concrete -- Testing |
| topic |
Assaigs de materials Materials -- Testing Resistència de materials Strength of materials Esforç i tensió Strains and stresses Formigó armat -- Proves Reinforced concrete -- Testing |
| description |
The contribution of tensioned concrete between cracks (tension-stiffening) cannot be ignored when analysing deformation of reinforced concrete elements. The tension-stiffening effect is crucial when it comes to adequately estimating the load-deformation response of steel reinforced concrete and the more recently appeared fibre reinforced polymer (FRP) reinforced concrete. This paper presents a unified methodology for numerical modelling of the tension-stiffening effect in steel as well as FRP reinforced flexural members using the concept of equivalent deformation modulus and the smeared crack approach to obtain a modified stress-strain relation of the reinforcement. A closed-form solution for the equivalent secant modulus of deformation of the tensioned reinforcement is proposed for rectangular sections taking the Eurocode 2 curvature prediction technique as the reference. Using equations based on general principles of structural mechanics, the main influencing parameters are obtained. It is found that the ratio between the equivalent stiffness and the initial stiffness basically depends on the product of the modular ratio and reinforcement ratio (nρ), the effective-to-total depth ratio (d/h), and the level of loading. The proposed methodology is adequate for numerical modelling of tension-stiffening for different FRP and steel reinforcement, under both service and ultimate conditions. Comparison of the predicted and experimental data obtained by the authors indicates that the proposed methodology is capable to adequately model the tension-stiffening effect in beams reinforced with FRP or steel bars within wide range of loading |
| publishDate |
2015 |
| dc.date.none.fl_str_mv |
2015 info info |
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info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion |
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article |
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publishedVersion |
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http://hdl.handle.net/10256/12347 http://hdl.handle.net/10256/12347 |
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http://hdl.handle.net/10256/12347 |
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Inglés |
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Inglés |
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info:eu-repo/semantics/altIdentifier/doi/10.12989/sem.2015.53.5.997 info:eu-repo/semantics/altIdentifier/issn/1225-4568 info:eu-repo/semantics/altIdentifier/eissn/1598-6217 info:eu-repo/grantAgreement/MICINN//BIA2010-20234-C03-02 |
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Tots els drets reservats info:eu-repo/semantics/embargoedAccess |
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Tots els drets reservats |
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embargoedAccess |
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application/pdf |
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Techno-Press |
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Techno-Press |
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© Structural Engineering and Mechanics, 2015, vol. 53, núm. 5, p. 997-1016 Articles publicats (D-EMCI) reponame:Recercat. Dipósit de la Recerca de Catalunya instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
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Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
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Recercat. Dipósit de la Recerca de Catalunya |
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Recercat. Dipósit de la Recerca de Catalunya |
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