Analytical and Theoretical Development of Load-Moment Interaction Diagrams of Rectangular CFRP-RC Columns

Authors

  • Mohannad H. Al-Sherrawi Department of Civil Engineering, University of Baghdad, Baghdad, Iraq
  • Hamza M. Salman Department of Civil Engineering, University of Baghdad, Baghdad, Iraq
  • Shatha D. Mohammed Department of Civil Engineering, University of Baghdad, Baghdad, Iraq
Volume: 15 | Issue: 4 | Pages: 25178-25191 | August 2025 | https://doi.org/10.48084/etasr.12059

Abstract

Carbon Fiber-Reinforced Polymer (CFRP) bars have several advantages over traditional steel reinforcement, including low density, erosion resistance, and higher tensile strength. The ACI 440.11-22 code permits CFRP as reinforcement; however, there are limited experimental studies on its application in Reinforced Concrete (RC) columns under combined loads. This study utilized theoretical analysis and Finite Element Analysis (FEA) to investigate 25 square slender concrete columns (kL/r = 17) affected by concentric and eccentric loads, examining variables, like CFRP bar contribution, eccentricity-to-depth ratio, and reinforcement arrangement. The results demonstrated CFRP's effectiveness in these columns, with failure modes varying from brittle compression-controlled under low eccentricities to tension-controlled under high eccentricities. The FEA results indicated that the CFRP columns exhibited higher second-order moments than the steel columns due to CFRP's lower elastic modulus, these results were compatible with the experimental results. Moreover; the (P-M) interaction diagram of CFRP reinforced column does not experience a balanced point. It was also observed that increasing the reinforcement ratio enhances the axial capacity by 33% and the bending resistance by 141% while reducing the ties’ spacing from 140 mm to 40 mm has no significant influence on both the axial capacity and bending resistance. The study also expanded to verify theoretical models against experimental data, confirming their accuracy. These findings contribute to establishing reliable design guidelines for CFRP-RC columns influenced by axial loads and bending moments.

Keywords:

CFRP reinforcement, concrete columns, eccentricity level, P-M interaction diagram, second-order moment

Downloads

Download data is not yet available.

References

Building code requirements for structural concrete reinforced with glass fiber-reinforced polymer (GFRP) bars-code and commentary: an ACI Standard, ACI 440.11-22, American Concrete Institute, Farmington Hills, MI, Sep. 2022.

Standard Test Method for Tensile Properties of Fiber Reinforced Polymer Matrix Composite Bars, ASTM D7205, ASM International, West Conshohocken, Pennsylvania, Dec. 2011.

Design and construction of building components with fiber reinforced polymer, CAN/CSA S806-12, Canadian Standards Association, Rexdale, ON, Canada, 2012.

Q. Khan, M. N. Sheikh, and M. N. S. Hadi, "Tension and compression testing of Fibre Reinforced Polymer (FRP) bars," in Joint Conference of the 12th Int. Symp. on Fiber Reinforced Polymers for Reinforced Concrete Structures and the 5th Asia-Pacific Conference on Fiber Reinforced Polymers in Structures, Nanjing, China, Dec. 2015, pp. 1–6.

G. B. Maranan, A. C. Manalo, B. Benmokrane, W. Karunasena, and P. Mendis, "Behavior of concentrically loaded geopolymer-concrete circular columns reinforced longitudinally and transversely with GFRP bars," Engineering Structures, vol. 117, pp. 422–436, Jun. 2016. DOI: https://doi.org/10.1016/j.engstruct.2016.03.036

W. Xue, F. Peng, and Z. Fang, "Behavior and Design of Slender Rectangular Concrete Columns Longitudinally Reinforced with Fiber-Reinforced Polymer Bars," ACI Structural Journal, vol. 115, no. 2, Mar. 2018. DOI: https://doi.org/10.14359/51701131

L. Al-Najmi and F. Abed, "Evaluation of FRP Bars under Compression and Their Performance in RC Columns," Materials, vol. 13, no. 20, Oct. 2020, Art. no. 4541. DOI: https://doi.org/10.3390/ma13204541

H. Tobbi, A. H. Farghaly, and B. Benmokrane, "Behavior of Concentrically Loaded Fiber-Reinforced Polymer Reinforced Concrete Columns with Varying Reinforcement Types and Ratios," ACI Structural Journal, vol. 111, no. 2, Mar. 2014. DOI: https://doi.org/10.14359/51686528

H. M. Mohamed, M. Z. Afifi, and B. Benmokrane, "Performance Evaluation of Concrete Columns Reinforced Longitudinally with FRP Bars and Confined with FRP Hoops and Spirals under Axial Load," Journal of Bridge Engineering, vol. 19, no. 7, Jul. 2014, Art. no. 04014020. DOI: https://doi.org/10.1061/(ASCE)BE.1943-5592.0000590

A. Hadhood, H. M. Mohamed, and B. Benmokrane, "Axial Load–Moment Interaction Diagram of Circular Concrete Columns Reinforced with CFRP Bars and Spirals: Experimental and Theoretical Investigations," Journal of Composites for Construction, vol. 21, no. 2, Apr. 2017, Art. no. 04016092. DOI: https://doi.org/10.1061/(ASCE)CC.1943-5614.0000748

S. El-Gamal and O. Al-Shareedah, "Behavior of axially loaded low strength concrete columns reinforced with GFRP bars and spirals," Engineering Structures, vol. 216, Aug. 2020, Art. no. 110732. DOI: https://doi.org/10.1016/j.engstruct.2020.110732

M. Z. Afifi, H. M. Mohamed, and B. Benmokrane, "Strength and Axial Behavior of Circular Concrete Columns Reinforced with CFRP Bars and Spirals," Journal of Composites for Construction, vol. 18, no. 2, Apr. 2014, Art. no. 04013035. DOI: https://doi.org/10.1061/(ASCE)CC.1943-5614.0000430

H. Tobbi, A. H. Farghaly, and B. Benmokrane, "Concrete columns reinforced longitudinally and transversally with glass fiber-reinforced polymer bars," ACI Structural Journal, vol. 109, no. 4, pp. 551–558, Jul. 2012. DOI: https://doi.org/10.14359/51683874

X. Fan and M. Zhang, "Behaviour of inorganic polymer concrete columns reinforced with basalt FRP bars under eccentric compression: An experimental study," Composites Part B: Engineering, vol. 104, pp. 44–56, Nov. 2016. DOI: https://doi.org/10.1016/j.compositesb.2016.08.020

J. Youssef and M. N. S. Hadi, "Axial load-bending moment diagrams of GFRP reinforced columns and GFRP encased square columns," Construction and Building Materials, vol. 135, pp. 550–564, Mar. 2017. DOI: https://doi.org/10.1016/j.conbuildmat.2016.12.125

Z. S. Othman and A. H. Mohammad, "Behaviour of Eccentric Concrete Columns Reinforced with Carbon Fibre‐Reinforced Polymer Bars," Advances in Civil Engineering, vol. 2019, no. 1, Jan. 2019, Art. no. 1769212. DOI: https://doi.org/10.1155/2019/1769212

B. R. Hassan and A. R. Yousif, "Experimental and Analytical Investigation of Shear Behavior and Strength of Haunched Beams Reinforced with Basalt Fiber–Reinforced Polymer Rebars," Journal of Bridge Engineering, vol. 29, no. 12, Dec. 2024, Art. no. 04024098. DOI: https://doi.org/10.1061/JBENF2.BEENG-6723

H. M. Salman and M. H. Al-Sherrawi, "M-N Interaction Diagrams of RC Columns Strengthened with Steel C-Sections and Battens," Civil Engineering Journal, vol. 10, no. 6, pp. 1974–1986, Jun. 2024. DOI: https://doi.org/10.28991/CEJ-2024-010-06-016

K. H. Yang, J. H. Mun, M. S. Cho, and T. H.-K. Kang, "Stress-Strain Model for Various Unconfined Concretes in Compression," ACI Materials Journal, vol. 111, no. 4, Jul. 2014. DOI: https://doi.org/10.14359/51686631

T. Wang and T. T. C. Hsu, "Nonlinear finite element analysis of concrete structures using new constitutive models," Computers & Structures, vol. 79, no. 32, pp. 2781–2791, Dec. 2001,2. DOI: https://doi.org/10.1016/S0045-7949(01)00157-2

Y. T. Obaidat, Structural retrofitting of concrete beams using FRP: debonding issues. Lund, Sweden: Lund University, 2011.

Guide for the Design and Construction of Structural Concrete Reinforced with Fiber-Reinforced Polymer (FRP) Bars, ACI 440.1R-15, American Concrete Institute, Farmington Hills, MI, Mar. 2015.

H. M. Salman and M. H. Al-Sherrawi, "Interaction Diagram for A Reinforced Concrete Column Strengthened with Steel Jacket," International Journal of Civil Engineering and Technology, vol. 10, no. 6, pp. 1369–1377, Jun. 2024.

H. A. Hasan, M. N. Sheikh, and M. N. S. Hadi, "Maximum axial load carrying capacity of Fibre Reinforced-Polymer (FRP) bar reinforced concrete columns under axial compression," Structures, vol. 19, pp. 227–233, Jun. 2019. DOI: https://doi.org/10.1016/j.istruc.2018.12.012

M. N. S. Hadi, H. Karim, and M. N. Sheikh, "Experimental Investigations on Circular Concrete Columns Reinforced with GFRP Bars and Helices under Different Loading Conditions," Journal of Composites for Construction, vol. 20, no. 4, Aug. 2016, Art. no. 04016009. DOI: https://doi.org/10.1061/(ASCE)CC.1943-5614.0000670

A. Hadhood, H. M. Mohamed, F. Ghrib, and B. Benmokrane, "Efficiency of glass-fiber reinforced-polymer (GFRP) discrete hoops and bars in concrete columns under combined axial and flexural loads," Composites Part B: Engineering, vol. 114, pp. 223–236, Apr. 2017. DOI: https://doi.org/10.1016/j.compositesb.2017.01.063

S. Pessiki and A. Pieroni, "Axial Load Behavior of LargeScale Spirally Reinforced HighStrength Concrete Columns," ACI Structural Journal, vol. 94, no. 3, pp. 304–314, 1997. DOI: https://doi.org/10.14359/482

F. Abed, A. El Refai, and N. El-Mesalami, "Compressive Behaviour of Glass Fiber-Reinforced Polymer (GFRP) Reinforced Concrete Columns," in 10th International Conference on FRP Composites in Civil Engineering, Sharjah, UAE, 2022, vol. 198, pp. 851–858. DOI: https://doi.org/10.1007/978-3-030-88166-5_73

M. Elchalakani and G. Ma, "Tests of glass fibre reinforced polymer rectangular concrete columns subjected to concentric and eccentric axial loading," Engineering Structures, vol. 151, pp. 93–104, Nov. 2017. DOI: https://doi.org/10.1016/j.engstruct.2017.08.023

M. N. S. Hadi, H. A. Hasan, and M. N. Sheikh, "Experimental Investigation of Circular High-Strength Concrete Columns Reinforced with Glass Fiber-Reinforced Polymer Bars and Helices under Different Loading Conditions," Journal of Composites for Construction, vol. 21, Aug. 2017, Art. no. 04017005. DOI: https://doi.org/10.1061/(ASCE)CC.1943-5614.0000784

W. Abdelazim, H. M. Mohamed, and B. Benmokrane, "Inelastic second-order analysis for slender GFRP-reinforced concrete columns: Experimental investigations and theoretical study," Journal of Composites for Construction, vol. 24, no. 3, Art. no. 04020016, Apr. 2020. DOI: https://doi.org/10.1061/(ASCE)CC.1943-5614.0001019

S. R. Razvi and M. Saatcioglu, "Strength and Deformability of Confined High-Strength Concrete Columns," ACI Structural Journal, vol. 91, no. 6, pp. 678–687, 1994. DOI: https://doi.org/10.14359/1499

Downloads

How to Cite

[1]
M. H. Al-Sherrawi, H. M. Salman, and S. D. Mohammed, “Analytical and Theoretical Development of Load-Moment Interaction Diagrams of Rectangular CFRP-RC Columns”, Eng. Technol. Appl. Sci. Res., vol. 15, no. 4, pp. 25178–25191, Aug. 2025.

Metrics

Abstract Views: 251
PDF Downloads: 375

Metrics Information