Prediction of Moment–Curvature Response and Maximum Bending Resistance for Hybrid NSC-UHPC Elements
Publication: Journal of Structural Engineering
Volume 149, Issue 11
Abstract
Exceptional mechanical properties of ultra-high performance concretes (UHPC) offer strong strengthening capacities in bending and shear when used as overlay on normal strength concrete (NSC) structures. Nonetheless, lack of simple and intuitive design models for hybrid elements in design guidelines refrain designers from using UHPC overlays for structural applications. Thereby, a simplified sectional analysis model for NSC-UHPC hybrid elements was developed based on the philosophy of the Canadian Bridge Design Code CSA-S6. By using a new average stress distribution for NSC in hybrid elements that considers the strain at the extreme compressed fiber, equilibrium of forces can be solved by a second-degree equation with direct computation. The simplified model provides the complete moment–curvature behavior of hybrid elements for design purposes, thus allowing verifications in service and ultimate state conditions. An empiric equation is also proposed to evaluate the maximum bending capacity of hybrid elements for predesign. It only uses an approximation of a lever arm between forces in the hybrid cross section and thus offers a quick and easy way to evaluate the bending capacity. Both tools were validated on a detailed and iterative sectional analysis program and with results of four international experimental campaigns. The simplified sectional analysis model and empirical equation showed very good accuracy at reproducing the behavior of a wide range of NSC-UHPC hybrid elements configurations.
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Data Availability Statement
All data, models, and code generated or used during the study appear in the published article.
Acknowledgments
This project was financially supported by the Discovery Grant of the Nature Science and Engineering Research Council of Canada (NSERC) granted to Prof. J.-P. Charron and by a Ph.D. Scholarship of the Fonds de recherche du Québec–Nature et technologies (FRQNT) awarded to M. Pharand.
References
ACI (American Concrete Institute). 2011. Building code requirements for structural concrete (ACI 318-11) and commentary. ACI 318-11. Farmington Hills, MI: ACI.
AFGC (Association Française de Génie Civil). 2013. Bétons fibrés à ultra-hautes performances. Rue boissière, Paris: AFGC.
Bastien-Masse, M., and E. Brühwiler. 2016. “Composite model for predicting the punching resistance of R-UHPFRC–RC composite slabs.” Eng. Struct. 117 (Jun): 603–616. https://doi.org/10.1016/j.engstruct.2016.03.017.
Bastien-Masse, M., E. Denarié, and E. Brühwiler. 2016. “Effect of fiber orientation on the in-plane tensile response of UHPFRC reinforcement layers.” Cem. Concr. Compos. 67 (Mar): 111–125. https://doi.org/10.1016/j.cemconcomp.2016.01.001.
Brühwiler, E. 2019. “UHPFRC technology to enhance the performance of existing concrete bridges.” Struct. Infrastruct. Eng. 16 (1): 94–105. https://doi.org/10.1080/15732479.2019.1605395.
Brühwiler, E., and E. Denarie. 2013. “Rehabilitation and strengthening of concrete structures using ultra-high performance fibre reinforced concrete.” In Proc., 3rd Int. Conf. on Concrete Repair, Rehabilitation and Retrofitting (ICCRRR), 70–79. Boca Raton, FL: CRC Press.
CEN (Comité Européen De Normalisation). 2004. Design of concrete structures—Part 1-1: General rules and rules for buildings. Eurocode 2, EN 1992-1-1: 2004. Brussels, Belgium: CEN.
Charron, J. P., and C. Desmettre. 2013. Intérêt de l’utilisation des bétons renforcés de fibres pour la construction d’ouvrages d’art durables. Montréal: École Polytechnique Montréal.
CSA (Canadian Standards Association). 2018. Concrete materials and methods of concrete construction/test methods and standard practices for concrete (draft). CAN/CSA A23.1:18/A23.2:18. Toronto: CSA.
CSA (Canadian Standards Association). 2019a. Canadian highway bridge design code. CAN/CSA S6:19. Toronto: CSA.
CSA (Canadian Standards Association). 2019b. Design of concrete structures. CAN/CSA A23.3:19. Toronto: CSA.
Delsol, S., and J. P. Charron. 2013. “Numerical modeling of UHPFRC mechanical behavior based on fibre orientation.” In Proc., RILEM-fib-AFGC Int. Symp. on Ultra-High Performance Fibre-Reinforced Concrete, edited by F. Toutlemonde and J. Resplendino, 679–688. Champs-sur-Marne, France: RILEM Publications.
de Montaignac, R., B. Massicotte, J. P. Charron, and A. Nour. 2011. “Design of SFRC structural elements: Post-cracking tensile strength measurement.” Mater. Struct. 45 (4): 609–622. https://doi.org/10.1617/s11527-011-9784-z.
Denarié, E., K. Habel, and E. Brühwiler. 2003. “Structural behaviour of hybrid elements with advanced cementitious materials (HPFRCC).” In Proc., 4th Int. Workshop on High Performance Fiber Reinforced Cement Composites, edited by A. E. Naaman and H. W. Reinhardt, 277–300. Champs-sur-Marne, France: RILEM Publications.
Eide, M. B., and J. M. Hisdal. 2012. Ultra high performance fibre reinforced concrete (UHPFRC)—State of the art: FA 2 competitive constructions: SP 2.2 ductile high strength concrete. Oslo, Norway: SINTEF Building and Infrastructure.
fib (Fédération internationale du béton). 2013. Fib model code for concrete structures 2010. Lausanne, Switzerland: fib.
Gendron, F., C. Desmettre, and J.-P. Charron. 2022. “Structural behavior of novel precast TL-5 bridge barriers using ultrahigh-performance fiber-reinforced concretes.” J. Bridge Eng. 27 (3): 04021113. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001826.
Graybeal, B. 2011. Ultra-high performance concrete. FHWA-HRT-11-038. Washington, DC: Federal Highway Administration.
Guingot, L., D. Dekhil, and P. Soulier. 2013. “Strengthening of hydraulic structures with UHPC.” In Proc., RILEM-fib-AFGC Int. Symp. on Ultra-High Performance Fibre-Reinforced Concrete, edited by F. Toutlemonde and J. Resplendino, 137–146. Champs-sur-Marne, France: RILEM Publications.
Habel, K. 2004. “Structural behaviour of elements combining ultra-high performance fibre reinforced concretes (UHPFRC) and reinforced concrete.” Ph.D. thesis, Génie Civil, École Polytechnique Fédérale de Lausanne, in Lausanne.
Habel, K., E. Denarié, and E. Brühwiler. 2007. “Experimental investigation of composite ultra-high-performance fiber-reinforced concrete and conventional concrete members.” Struct. J. 104 (1): 93. https://doi.org/10.14359/18437.
Haber, Z. B., I. De la Varga, B. A. Graybeal, B. Nakashoji, and R. El-Helou. 2018. Properties and behavior of UHPC-class materials. Washington, DC: DOT.
Haber, Z. B., A. Foden, M. McDonagh, J. Ocel, K. Zmetra, and B. A. Graybeal. 2022. Design and construction of UHPC-based bridge preservation and repair solutions. Washington, DC: DOT.
JSCE (Japan Society of Civil Engineer). 2008. “Recommendations for design and construction of high performance fiber reinforced cement composites with multiple fine cracks.” In High performance fiber reinforced cement composites. Tokyo: Springer.
Khalil, A. E.-H., E. Etman, A. Atta, and M. Essam. 2017. “Behavior of RC beams strengthened with strain hardening cementitious composites (SHCC) subjected to monotonic and repeated loads.” Eng. Struct. 140 (Jun): 151–163. https://doi.org/10.1016/j.engstruct.2017.02.049.
Massicotte, B., D. Conciatori, S. Bédard, and S. Braike. 2014. “Analyse Inélastique des Sections (AIS) V3. 1.” In Groupe de recherche en génie des structures. Montréal: École Polytechnique de Montréal.
Naaman, A. E. 2008. “High performance fiber reinforced cement composites.” In High-performance construction materials: Science and applications, 91–153. Singapore: World Scientific.
Noshiravani, T., and E. Brühwiler. 2013. “Experimental investigation on reinforced ultra-high-performance fiber-reinforced concrete composite beams subjected to combined bending and shear.” ACI Struct. J. 110 (2): 251–261. https://doi.org/10.14359/51684405.
Oesterlee, C. 2010. “Structural response of reinforced UHPFRC and RC composite members.” Ph.D. thesis, Génie Civil, École Polytechnique Fédérale de Lausanne, in Lausanne.
Paschalis, S. A., A. P. Lampropoulos, and O. Tsioulou. 2018. “Experimental and numerical study of the performance of ultra high performance fiber reinforced concrete for the flexural strengthening of full scale reinforced concrete members.” Constr. Build. Mater. 186 (Oct): 351–366. https://doi.org/10.1016/j.conbuildmat.2018.07.123.
Paultre, P. 1996. MNPhi. Sherbrooke, QC, Canada: Université de Sherbrooke.
Paultre, P. 2011. Structures en béton armé: Analyse et dimensionnement. Paris: Presses inter Polytechnique.
Pharand, M. 2022. “Comportement structural et dimensionnement en flexion et à l’effort tranchant d’éléments hybrides en béton ordinaire et en béton fibré à ultra-hautes performances.” Thèse de doctorat, Génies Civil, géologique et des mines, Polytechnique Montréal.
Pharand, M., and J.-P. Charron. 2023. “Experimental investigation of the shear resistance mechanism on hybrid NSC-UHPC predamaged and undamaged unidirectional bridge slabs.” J. Struct. Eng. 149 (9): 04023128. https://doi.org/10.1061/JSENDH.STENG-1216.
Ruano, G., F. Isla, D. Sfer, and B. Luccioni. 2015. “Numerical modeling of reinforced concrete beams repaired and strengthened with SFRC.” Eng. Struct. 86 (Mar): 168–181. https://doi.org/10.1016/j.engstruct.2014.12.030.
Safdar, M., T. Matsumoto, and K. Kakuma. 2016. “Flexural behavior of reinforced concrete beams repaired with ultra-high performance fiber reinforced concrete (UHPFRC).” Compos. Struct. 157 (Dec): 448–460. https://doi.org/10.1016/j.compstruct.2016.09.010.
Shirai, K., H. Yin, and W. Teo. 2020. “Flexural capacity prediction of composite RC members strengthened with UHPC based on existing design models.” Structures 23 (Feb): 44–55. https://doi.org/10.1016/j.istruc.2019.09.017.
SIA (Security Industry Association). 2013. “Construction en béton.” In Société suisse des ingénieurs et des architectes. Silver Spring, MD: SIA.
SIA (Security Industry Association). 2016. SIA 2052 UHPFRC: Materials, design and application. Silver Spring, MD: SIA.
Thiaw, A., J.-P. Charron, and B. Massicotte. 2016. “Precast fiber-reinforced concrete barriers with integrated sidewalk.” ACI Struct. J. 113 (1): 39–50. https://doi.org/10.14359/51688611.
Tsai, W. T. 1988. “Uniaxial compressional stress-strain relation of concrete.” J. Struct. Eng. 114 (9): 2133–2136. https://doi.org/10.1061/(ASCE)0733-9445(1988)114:9(2133).
Verger-Leboeuf, S., J.-P. Charron, and B. Massicotte. 2017. “Design and behavior of UHPFRC field-cast transverse connections between precast bridge deck elements.” J. Bridge Eng. 22 (7): 04017031. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001064.
Yoo, D.-Y., N. Banthia, and Y.-S. Yoon. 2016. “Predicting the flexural behavior of ultra-high-performance fiber-reinforced concrete.” Cem. Concr. Compos. 74 (Nov): 71–87. https://doi.org/10.1016/j.cemconcomp.2016.09.005.
Yuan, S., Z. Liu, T. Tong, and Y. Wang. 2022. “A coupled adhesive-frictional model tailored for interfacial behaviors between UHPC and NC materials.” Structures 38 (Apr): 1397–1410. https://doi.org/10.1016/j.istruc.2022.02.061.
Zingaila, T., M. Augonis, M. R. T. Arruda, E. Šerelis, and Š. Kelpša. 2017. “Experimental and numerical analysis of flexural concrete-UHPFRC/RC composite members.” Mechanika 23 (2): 182–189. https://doi.org/10.5755/j01.mech.23.2.17210.
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Published In
Journal of Structural Engineering
Volume 149 • Issue 11 • November 2023
Copyright
© 2023 American Society of Civil Engineers.
History
Received: Jan 17, 2023
Accepted: Jun 13, 2023
Published online: Sep 15, 2023
Published in print: Nov 1, 2023
Discussion open until: Feb 15, 2024
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