Technical Papers
Jan 24, 2023

Numerical Investigation of Axial Force–Bending Moment Interaction for FRP-Confined Reinforced Concrete Columns with Internal Steel Transverse Reinforcement

Publication: Journal of Composites for Construction
Volume 27, Issue 2

Abstract

Externally bonded fiber-reinforced polymer (FRP) laminates are widely used in the retrofitting and rehabilitation of reinforced concrete (RC) columns because they can increase the axial and bending moment capacities of these columns through a confinement mechanism. The confinement produced by FRP laminates acts in addition to that exerted by the internal transverse steel, although the latter is often neglected in current design standards and guidelines. In this study, a recently developed FRP-and-steel-confined concrete constitutive model was employed to numerically investigate the axial force–bending moment interaction for FRP-confined RC columns modeled using finite-element (FE) analysis. The proposed model was first validated against experimental data available in the literature and then used to quantify, through an extensive parametric study, the effects of transverse steel confinement, FRP strength, FRP stiffness, FRP reinforcement ratio, column diameter, concrete compressive strength, and load eccentricity ratio on the strength of FRP-confined RC columns subject to combined axial compression and bending moment. It was found that the internal steel confinement can substantially enhance the strength of these columns, especially for low concrete compressive strengths, large cross sections, and small eccentricities. When design code provisions limiting concrete and FRP deformations were considered for eccentrically loaded columns, the contribution of the steel confinement increased for increasing FRP reinforcement ratio. Based on the parametric study results, this investigation proposed an extension to eccentric axial compression of two relative confinement coefficients, which were previously developed to describe the contribution of transverse steel confinement to the peak strength of FRP-confined RC columns subject to pure compression.

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Acknowledgments

The authors gratefully acknowledge partial support to this research by the Brazilian National Council for Scientific and Technological Development (CNPq—Brazil). Any opinions, findings, conclusions, or recommendations expressed in this publication are those of the writers and do not necessarily reflect the views of the sponsors.

References

ACI (American Concrete Institute). 2017. Guide for the design and construction of externally bonded FRP systems for strengthening existing structures. ACI 440.2R-17. Farmington Hills, MI: ACI.
ACI (American Concrete Institute). 2019. Building code requirements for structural concrete. ACI 318-19. Farmington Hills, MI: ACI.
Bank, L. C. 2006. Composites for construction: Structural design with FRP materials. Hoboken, NJ: Wiley.
Barbato, M. 2009. “Efficient finite element modelling of reinforced concrete beams retrofitted with fibre reinforced polymers.” Comput. Struct. 87 (3–4): 167–176. https://doi.org/10.1016/j.compstruc.2008.11.006.
Bisby, L., and M. Ranger. 2010. “Axial–flexural interaction in circular FRP-confined reinforced concrete columns.” Constr. Build. Mater. 24: 1672–1681. https://doi.org/10.1016/j.conbuildmat.2010.02.024.
Fardis, M. N., and H. H. Khalili. 1982. “FRP-encased concrete as a structural material.” Mag. Concr. Res. 34 (121): 191–202. https://doi.org/10.1680/macr.1982.34.121.191.
Filippou, F. C., E. P. Popov, and V. V. Bertero. 1983. Effects of bond deterioration on hysteretic behaviour of reinforced concrete joints. Earthq. Eng. Res. Cent. Report UCB/EERC-83/19. Berkeley, CA: Univ. of California.
Hadi, M. N. S. 2009. “Behaviour of eccentric loading of FRP confined fibre steel reinforced concrete columns.” Constr. Build. Mater. 23 (2): 1102–1108. https://doi.org/10.1016/j.conbuildmat.2008.05.024.
Hu, D., and M. Barbato. 2014. “Simple and efficient finite element modeling of reinforced concrete columns confined with fiber-reinforced polymers.” Eng. Struct. 72: 113–122. https://doi.org/10.1016/j.engstruct.2014.04.033.
Hu, H., and R. Seracino. 2014. “Analytical model for FRP-and-steel-confined circular concrete columns in compression.” J. Compos. Constr. 18 (3): A4013012. https://doi.org/10.1061/(ASCE)CC.1943-5614.0000394.
Ilki, A., O. Peker, E. Karamuk, C. Demir, and N. Kumbasar. 2008. “FRP retrofit of low and medium strength circular and rectangular reinforced concrete columns.” J. Mater. Civ. Eng. 20 (2): 169–188. https://doi.org/10.1061/(ASCE)0899-1561(2008)20:2(169).
Kaeseberg, S., D. Messerer, and K. Holschemacher. 2019. “Assessment of standards and codes dedicated to CFRP confinement of RC columns.” Materials 12 (15): 2390. https://doi.org/10.3390/ma12152390.
Lam, L., and J. G. Teng. 2003. “Design-oriented stress–strain model for FRP-confined concrete.” Constr. Build. Mater. 17 (6–7): 471–489. https://doi.org/10.1016/S0950-0618(03)00045-X.
Lee, J.-Y., C.-K. Yi, H.-S. Jeong, S.-W. Kim, and J.-K. Kim. 2010. “Compressive response of concrete confined with steel spirals and FRP composites.” J. Compos. Mater. 44 (4): 481–504. https://doi.org/10.1177/0021998309347568.
Mander, J. B., M. J. N. Priestley, and R. Park. 1988. “Theoretical stress–strain model for confined concrete.” J. Struct. Eng. 114 (8): 1804–1826. https://doi.org/10.1061/(ASCE)0733-9445(1988)114:8(1804).
Mazzoni, S., F. McKenna, M. H. Scott, and G. L. Fenves. 2006. OpenSees command language manual. Berkeley, CA: Pacific Earthquake Engineering Research Center.
Menegotto, M., and P. E. Pinto. 1973. “Method of analysis for cyclically loaded reinforced concrete plane frames including changes in geometry and nonelastic behavior of elements under combined normal force and bending.” In Proc., Int. Association for Bridge and Structural Engineering Symp. Resistance and Ultimate Deform Ability of Structures Acted on by Well Defined Repeated Loads, 15–22. Zurich, Switzerland: International Association for Bridge and Structural Engineering.
Mostofinejad, D., and A. Torabian. 2016. “Experimental study of circular RC columns strengthened with longitudinal CFRP composites under eccentric loading: Comparative evaluation of EBR and EBROG methods.” J. Compos. Constr. 20 (2): 04015055. https://doi.org/10.1061/(ASCE)CC.1943-5614.0000618.
Nilson, A. H., D. Darwin, and C. W. Dolan. 2010. Design of concrete structures. New York: McGraw-Hill.
Ozbakkaloglu, T., J. C. Lim, and T. Vincent. 2013. “FRP-confined concrete in circular sections: Review and assessment of stress–strain models.” Eng. Struct. 49: 1068–1088. https://doi.org/10.1016/j.engstruct.2012.06.010.
Parvin, A., and D. Brighton. 2014. “FRP composites strengthening of concrete columns under various loading conditions.” Polymers 6 (4): 1040–1056. https://doi.org/10.3390/polym6041040.
Raza, S., M. K. I. Khan, S. J. Menegon, H. H. Tsang, and J. L. Wilson. 2019. “Strengthening and repair of reinforced concrete columns by jacketing: State-of-the-art review.” Sustainability 11 (11): 3208. https://doi.org/10.3390/su11113208.
Realfonzo, R., and A. Napoli. 2011. “Concrete confined by FRP systems: Confinement efficiency and design strength models.” Composites, Part B 42 (4): 736–755. https://doi.org/10.1016/j.compositesb.2011.01.028.
Roy, N., P. Paultre, and J. Proulx. 2010. “Performance-based seismic retrofit of a bridge bent: Design and experimental validation.” Can. J. Civ. Eng. 37 (3): 367–379. https://doi.org/10.1139/L09-138.
Spacone, E., F. C. Filippou, and F. F. Taucer. 1996. “Fibre beam–column model for non-linear analysis of RC frames: Part I. Formulation.” Earthquake Eng. Struct. Dyn. 25 (7): 711–725. https://doi.org/10.1002/(SICI)1096-9845(199607)25:7%3C711::AID-EQE576%3E3.0.CO;2-9.
Spoelstra, M. R., and G. Monti. 1999. “FRP-confined concrete model.” J. Compos. Constr. 3 (3): 143–150. https://doi.org/10.1061/(ASCE)1090-0268(1999)3:3(143).
Tatar, J., S. Sattar, D. Goodwin, S. Milev, S. Ahmed, J. Dukes, and C. Segura. 2021. “Performance of externally bonded fiber-reinforced polymer retrofits in the 2018 cook inlet earthquake in anchorage, Alaska.” Earthq. Spectra 37 (4): 2342–2371. https://doi.org/10.1177/87552930211028609.
Teng, J. G., G. Lin, and T. Yu. 2015. “Analysis-oriented stress–strain model for concrete under combined FRP-steel confinement.” J. Compos. Constr. 19 (5): 04014084. https://doi.org/10.1061/(ASCE)CC.1943-5614.0000549.
Wang, Y. C., and J. I. Restrepo. 2001. “Investigation of concentrically loaded reinforced concrete columns confined with glass fiber-reinforced polymer jackets.” ACI Struct. J. 98 (3): 377–385.
Wight, J. K., and J. G. MacGregor. 2009. Reinforced concrete mechanics & design. Upper Saddle River, NJ: Pearson.
Xing, L., G. Lin, and J. F. Chen. 2020. “Behavior of FRP-confined circular RC columns under eccentric compression.” J. Compos. Constr. 24 (4): 04020030. https://doi.org/10.1061/(ASCE)CC.1943-5614.0001036.
Yuan, F., Y.-F. Wu, and X.-Y. Zhao. 2022. “Effect of internal stirrups on the eccentric compression behavior of FRP-confined RC columns based on finite-element analysis.” J. Compos. Constr. 26 (1): 04021069. https://doi.org/10.1061/(ASCE)CC.1943-5614.0001187.
Zignago, D. 2022. Transverse steel confinement effects on the structural behavior of reinforced concrete circular columns strengthened with externally-bonded fiber-reinforced polymer. Davis, CA: Univ. of California.
Zignago, D., and M. Barbato. 2019. “Parametric study on the effect of steel confinement in short bridge piers retrofitted with externally-wrapped FRP.” MATEC Web Conf. 271: 01012. https://doi.org/10.1051/matecconf/201927101012.
Zignago, D., and M. Barbato. 2021. “Effects of transverse steel on the axial-compression strength of FRP-confined reinforced concrete columns based on a numerical parametric study.” J. Compos. Constr. 25 (4): 04021024. https://doi.org/10.1061/(ASCE)CC.1943-5614.0001135.
Zignago, D., and M. Barbato. 2022a. “Reliability-based calibration of new design procedure for reinforced concrete columns under simultaneous confinement by fiber-reinforced polymers and steel.” J. Compos. Constr. 26 (3): 04022017. https://doi.org/10.1061/(ASCE)CC.1943-5614.0001199.
Zignago, D., and M. Barbato. 2022b. “Parametric study of FRP-confined RC columns.” Accessed November 14, 2022. https://zenodo.org/record/7013227#.Y3R12HbMKHs.
Zignago, D., and M. Barbato. 2023. “New analytical analysis-oriented stress–strain model for FRP-and-steel confined concrete.” J. Struct. Eng. 149 (1): 04022212. https://doi.org/10.1061/JSENDH.STENG-11634.
Zignago, D., M. Barbato, and D. Hu. 2018. “Constitutive model of concrete simultaneously confined by FRP and steel for finite-element analysis of FRP-confined RC columns.” J. Compos. Constr. 22 (6): 04018064. https://doi.org/10.1061/(ASCE)CC.1943-5614.0000902.
Zignago, D., M. Barbato, and D. Hu. 2022. “ZBH model for FRP-and-steel confined concrete.” Accessed November 14, 2022. https://zenodo.org/record/6527934#.Y3M9a3bMKHs.

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Go to Journal of Composites for Construction
Journal of Composites for Construction
Volume 27Issue 2April 2023

History

Received: May 20, 2022
Accepted: Nov 18, 2022
Published online: Jan 24, 2023
Published in print: Apr 1, 2023
Discussion open until: Jun 24, 2023

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Ph.D. Candidate, Dept. of Civil and Environmental Engineering, Univ. of California Davis, One Shields Ave., Davis, CA 95616. ORCID: https://orcid.org/0000-0002-6644-3555. Email: [email protected]
Professor, Dept. of Civil and Environmental Engineering, Univ. of California Davis, One Shields Ave., Davis, CA 95616 (corresponding author). ORCID: https://orcid.org/0000-0003-0484-8191. Email: [email protected]

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