TY - JOUR T1 - Ductility Assessment of Hybrid FRP–Steel RC Beams Using Analytical Modeling AU - Kartal, Saruhan AU - Çağlar, Yasin PY - 2025 DA - November Y2 - 2025 DO - 10.29137/ijerad.1756063 JF - International Journal of Engineering Research and Development JO - IJERAD PB - Kirikkale University WT - DergiPark SN - 1308-5506 SP - 537 EP - 553 VL - 17 IS - 3 LA - en AB - This study aims to identify the most appropriate ductility definition for hybrid reinforced concrete (RC) beams combining fiber-reinforced polymer (FRP) and steel reinforcement. Although FRP bars are increasingly used due to their high corrosion resistance and tensile strength, their brittle failure mechanism limits ductility, which is critical for structural safety, especially under seismic or overload conditions. Hybrid reinforcement (FRP+steel), integrating the ductility of steel with the durability of FRP, has been proposed to mitigate this limitation. However, the literature lacks consensus on a standardized ductility definition suitable for such hybrid systems. An extensive experimental dataset of hybrid, FRP-only, and steel-only RC beams was analyzed using multiple ductility definitions from the literatüre to address this gap. Among these, the energy-based definition provided the most consistent and realistic representation of ductile behavior, capturing the elastic-brittle nature of FRP and the yielding response of steel. The selected definition was then extended to additional hybrid RC beams reported in the literature to assess its broader applicability. The analysis confirmed that the ratio of steel reinforcement to total tensile reinforcement (As/Atot) significantly influences ductility. A higher As/Atot ratio and co-location of FRP and steel in the same tensile layer consistently yielded more favorable ductile responses. KW - Ductility KW - hybrid beams KW - reinforced concrete KW - fiber reinforced polymer CR - Abdelrahman, A. A., Tadros, G., & Rizkalla, S. H. (1996). Test model for the first Canadian smart highway bridge. ACI Structural Journal, 92(1), 1–10. CR - ACI Committee 440. (2015). Guide for the design and construction of structural concrete reinforced with fiber-reinforced polymer (FRP) bars (ACI 440.1R-15). American Concrete Institute. CR - Aiello, M. A., & Ombres, L. (2002). Structural performances of concrete beams with hybrid (fiber-reinforced polymer–steel) reinforcements. Journal of Composites for Construction, 6(2), 133–140. https://doi.org/10.1061/(ASCE)1090-0268(2002)6:2(133) CR - Bencardino, F., Condello, A., & Ombres, L. (2016). Numerical and analytical modeling of concrete beams with steel, FRP and hybrid FRP-steel reinforcements. Composite Structures, 140, 53–65. https://doi.org/10.1016/j.compstruct.2015.12.045 CR - Comité Européen de Normalisation (CEN). (2004). Eurocode 2: Design of concrete structures – Part 1-1: General rules and rules for buildings (prEN 1992-1-1). European Committee for Standardization. CR - CSA. (2010). Canadian highway bridge design code (CSA S6-10). Canadian Standards Association. CR - Dönmez, E. T., & Başaran, B. (2021). Bond Strength of Epoxy Impregnated Carbon Fiber Wrapped Steel Reinforcement. International Journal of Engineering Research and Development, 13(2), 625-634. CR - El Refai, A., Abed, F., & Al-Rahmani, A. (2015). Structural performance and serviceability of concrete beams reinforced with hybrid (GFRP and steel) bars. Construction and Building Materials, 96, 518–529. https://doi.org/10.1016/j.conbuildmat.2015.08.063 CR - Ge, W., Zhang, J., Cao, D., & Tu, Y. (2015). Flexural behaviors of hybrid concrete beams reinforced with BFRP bars and steel bars. Construction and Building Materials, 87, 28–37. https://doi.org/10.1016/j.conbuildmat.2015.03.113 CR - Grace, N. F., Soliman, A. K., Abdel-Sayed, G., & Saleh, K. R. (1998). Behavior and ductility of simple and continuous FRP reinforced beams. Journal of Composites for Construction, 2(4), 186–194. https://doi.org/10.1061/(ASCE)1090-0268(1998)2:4(186) CR - ISIS Canada. (2007). Reinforcing concrete structures with fibre-reinforced polymers. Intelligent Sensing for Innovative Structures. CR - Kara, I. F., Ashour, A. F., & Köroğlu, M. A. (2015). Flexural behavior of hybrid FRP/steel RC beams. Composite Structures, 129, 111–121. https://doi.org/10.1016/j.compstruct.2015.03.073 CR - Kartal, S. (2024). Shear Behaviors of FRP Longitudinally Reinforced Concrete Beams without Stirrups (α/d> 2.5). International Journal of Engineering Research & Development (IJERAD), 16(1). CR - Kartal, S., & Kısıklı, E. (2024). Bending Behavior of RC Beams with Regular Web Openings and Non-corroding GFRP Reinforcement. International Journal of Concrete Structures and Materials, 18(1), 77. CR - Kartal, S., Gündoğan, U., & Kalkan, I. (2025). CTP Boyuna ve Enine Donatılı Betonarme Kirişlerin Kesme Davranışları. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, 25(4), 854-864. CR - Kartal, S., Kalkan, I., Mertol, H. C., & Baran, E. (2023). Influence of the proportion of FRP to steel reinforcement on the strength and ductility of hybrid RC beams. European Journal of Environmental and Civil Engineering, 27(12), 3546–3565. CR - Lau, D., & Pam, H. J. (2010). Experimental study of hybrid FRP RC beams. Engineering Structures, 32(12), 3857–3865. https://doi.org/10.1016/j.engstruct.2010.08.028 CR - Leung, H. Y., & Balendran, R. V. (2003). Flexural behaviour of concrete beams internally reinforced with GFRP rods and steel rebars. Structural Survey, 21(4), 146–157. https://doi.org/10.1108/02630800310507159 CR - Müsevitoğlu, A., Sancıoğlu, S., Akın, S. K., İlgün, A., & Kartal, S. (2025). Considering the existing stirrup location: The axial compressive behavior of partially carbon fiber‐reinforced‐wrapped square columns. Structural Concrete. CR - Naaman, A. E., & Jeong, S. M. (1995). Structural ductility of concrete beams prestressed with FRP tendons. In L. Taerwe (Ed.), Nonmetallic (FRP) reinforcement for concrete structures (pp. 379–386). E&FN Spon. CR - Pang, L., Qu, W., Zhu, P., & Xu, J. (2016). Design propositions for hybrid FRP-steel RC beams. Journal of Composites for Construction, 20(5), 04015086. https://doi.org/10.1061/(ASCE)CC.1943-5614.0000654 CR - Qin, R., Zhou, A., & Lau, D. (2017). Effect of reinforcement ratio on the flexural performance of hybrid FRP RC beams. Composites Part B: Engineering, 108, 200–209. https://doi.org/10.1016/j.compositesb.2016.09.054 CR - Qu, W., Zhang, X., & Huang, H. (2009). Flexural behavior of concrete beams reinforced with hybrid (GFRP and steel) bars. Journal of Composites for Construction, 13(5), 350–359. https://doi.org/10.1061/(ASCE)CC.1943-5614.0000035 CR - Ruan, X., Lu, C., Xu, K., Xuan, G., & Ni, M. (2020). Flexural behavior and serviceability of concrete beams hybrid-reinforced with GFRP bars and steel bars. Composite Structures, 235, 111772. CR - Safan, M. A. (2013). Flexural behavior and design of steel-GFRP RC beams. ACI Materials Journal, 110(6), 677–685. CR - Spadea, G., Swamy, R. N., & Bencardino, F. (2001). Strength and ductility of RC beams repaired with bonded CFRP laminates. Journal of Bridge Engineering, 6(5), 349–355. https://doi.org/10.1061/(ASCE)1084-0702(2001)6:5(349) CR - Todeschini, C. E., Bianchini, A. C., & Kesler, C. E. (1964). Behavior of concrete columns reinforced with high strength steels. ACI Journal Proceedings, 61(6), 701–716. https://doi.org/10.14359/7803 CR - Vijay, P. V., & GangaRao, H. V. S. (1996). A unified limit state approach using deformability factors in concrete beams reinforced with GFRP bars. In Materials Engineering Conference Proceedings (Vol. 5, pp. 657–665). CR - Vijay, P. V., & GangaRao, H. V. S. (2001). Bending behavior and deformability of glass fiber-reinforced polymer RC members. ACI Structural Journal, 98(6), 834–842. https://doi.org/10.14359/10750 CR - Yaz, M. (2014). The effect of glass fiber reinforcement on the flexural behavior of RC beams (Master’s thesis). Kırıkkale University, Kırıkkale, Turkey. CR - Zou, P. X. W. (2003). Flexural behavior and deformability of fiber reinforced polymer prestressed concrete beams. Journal of Composites for Construction, 7(4), 275–284. https://doi.org/10.1061/(ASCE)1090-0268(2003)7:4(275) UR - https://doi.org/10.29137/ijerad.1756063 L1 - https://dergipark.org.tr/en/download/article-file/5112882 ER -