Development of Machine Learning Algorithms to Predict the Ultimate Axial Capacity of Fire Damaged Circular Columns Repaired with CFRP Composites
Published 2025-12-31
Keywords
- Carbon Fiber Reinforced Polymer,
- Deep Neural Network ,
- DNN,
- Heat Damaged,
- Circular Concrete Columns
How to Cite
Copyright (c) 2025

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Abstract
This paper presents a study that extends the application of carbon fiber reinforced polymer (CFRP) composite confinement technology to strengthen circular concrete columns damaged by fire. This study utilized data from 125 column specimens sourced from the literature. It examined ten parameters: column diameter, height, initial compressive strength of concrete, initial tensile strength of steel, longitudinal reinforcement ratio, fire temperature, exposure time, number of CFRP layers, CFRP thickness, and CFRP tensile modulus, which were used as inputs for the model. The objective was to predict the ultimate axial strength of fire-damaged circular columns repaired with CFRP composites. This study employs both multiple regression analysis and a deep neural network (DNN) to predict the structural behavior of reinforced concrete (RC) columns and accurately forecast their repaired axial capacity. The proposed deep neural network (DNN) model demonstrated a robust agreement with experimental investigations, boasting an overall correlation factor (R) of 0.99852. Deep neural networks outperformed multiple regression analysis in predicting axial strength, with predictions closely matching experimental results from previous studies. The work also presents a parametric study to examine the effect of different input parameters on the axial strength of RC columns. Parametric analysis indicates that the repaired axial strength increases with higher concrete initial compressive strength, greater CFRP thickness and tensile modulus, and more CFRP layers, whereas it decreases with higher fire temperatures, longer exposure durations, and larger column diameters.
Metrics
References
- Bisby, L.A., A. Dent, and M.F.J.A.S.J. Green, Comparison of confinement models for FRP wrapped concrete. 2005. 102(1): p. 62-72.
- De Lorenzis, L. and R.J.J.o.C.f.C. Tepfers, Comparative study of models on confinement of concrete cylinders with fiber-reinforced polymer composites. 2003. 7(3): p. 219-237.
- Bisby, L., V. Kodur, and M.J.A.S.J. Green, Fire endurance of fiber-reinforced polymer-confined concrete. 2005. 102(6): p. 883-891.
- Chowdhury, E., et al. Fire behaviour of FRP wrapped square reinforced concrete columns. in Third International Conference on Durability and Field Applications of Fibre Reinforced Polymer (FRP) Composites for Construction (CDCC-07), Quebec City, Canada. 2007.
- Yaqub, M., C.J.C. Bailey, and B. Materials, Repair of fire damaged circular reinforced concrete columns with FRP composites. 2011. 25(1): p. 359-370.
- Himick, M. and S. Bouriaux, Securitized insurance risk: strategic opportunities for insurers and investors. 1998: Global Professional Publishi.
- Akhtar, Ali, Shahzad Saleem, Muhammad Salman, Muhammad Noman, Mohammad Zulqarnain, and Tidarut Jirawattanasomkul. "Performance of square masonry columns retrofitted with NSM steel and GFRP reinforcement under axial compression." Construction and Building Materials 458 (2025): 139534.
- M. . Salman, M. . Arshad, M. . Noman, S. . Ullah Khan, A. . Ahmed, and M. . Hussain, “Analyzing Transit Stop Service Areas Using Geographic Information Systems (GIS): A Case Study of UET Taxila”, JoCEF, vol. 6, no. 02, pp. 97-102, Sep. 2025..
- Chinthapalli, H.K. and A.J.J.o.S.E. Agarwal, Effect of confining reinforcement on fire behavior of reinforced concrete columns: experimental and numerical study. 2020. 146(6): p. 04020084.
- Ehsana, M.A., et al., Effectiveness of prolonged air-recuring on strength of fire damaged RC columns. 2019. 5(10): p. 2207-2220.
- Usman, M., et al., Restorability of strength and stiffness of fire damaged concrete using various composite confinement techniques. 2021. 272: p. 121984.
- Noman, Muhammad, Muhammad Salman, Afaq Ahmed, Muzammal Hussain, Ali Akhtar, and Mohammad Zulqarnain. "Repair of Fire-Damaged Circular and Square Columns Using CFRP Composites: A Comprehensive Review." Journal OF Civil Engineering 6, no. 02 (2025): 82-96.
- Toutanji, H., et al., Behavior of large-scale rectangular columns confined with FRP composites. 2010. 14(1): p. 62-71.
- Issa, M.A., R.Z. Alrousan, and M.A.J.J.o.C.f.C. Issa, Experimental and parametric study of circular short columns confined with CFRP composites. 2009. 13(2): p. 135-147.
- Benzaid, R., et al., Behaviour of square concrete column confined with GFRP composite warp. 2008. 14(2): p. 115-120.
- Kumutha, R., et al., Behaviour of reinforced concrete rectangular columns strengthened using GFRP. 2007. 29(8): p. 609-615.
- Kumutha, R., M.J.J.o.r.p. Palanichamy, and composites, Investigation of reinforced concrete columns confined using glass fiber-reinforced polymers. 2006. 25(16): p. 1669-1678.
- Marques, S.P.C., et al., Model for analysis of short columns of concrete confined by fiber-reinforced polymer. 2004. 8(4): p. 332-340.
- Chaallal, O., M. Shahawy, and M.J.J.o.C.f.C. Hassan, Performance of axially loaded short rectangular columns strengthened with carbon fiber-reinforced polymer wrapping. 2003. 7(3): p. 200-208.
- Demers, M. and K.W.J.C.J.o.C.E. Neale, Confinement of reinforced concrete columns with fibre-reinforced composite sheets-an experimental study. 1999. 26(2): p. 226-241.
- Yaqub, M., et al., Axial capacity of post-heated square columns wrapped with FRP composites. 2011. 33(6): p. 694-701.
- Moghtadernejad, N., et al. Repair of post-heated short rectangular reinforced concrete columns with FRP jackets. in Structures. 2021. Elsevier.
- Al-Nimry, H., et al., Effectiveness of advanced composites in repairing heat-damaged RC columns. 2013. 46: p. 1843-1860.
- Chowdhury, E., et al., Residual behavior of fire-exposed reinforced concrete beams prestrengthened in flexure with fiber-reinforced polymer sheets. 2008. 12(1): p. 61-68.
- Chowdhury, E.U., et al., Investigation of insulated FRP-wrapped reinforced concrete columns in fire. 2007. 42(6-7): p. 452-460.
- Green, M.F., et al., FRP confined concrete columns: Behaviour under extreme conditions. 2006. 28(10): p. 928-937.
- Kodur, V.K., L.A. Bisby, and M.F.J.F.s.j. Green, Experimental evaluation of the fire behaviour of insulated fibre-reinforced-polymer-strengthened reinforced concrete columns. 2006. 41(7): p. 547-557.
- Williams, B., et al., Fire insulation schemes for FRP-strengthened concrete slabs. 2006. 37(8): p. 1151-1160.
- Kodur, V., L. Bisby, and M.F. Green. Fire endurance of FRP-strengthened reinforced concrete columns. in Proceedings of the fourth international conference on concrete under severe conditions, Seoul, Korea. 2004.
- Fletcher, I.A., et al., Behaviour of concrete structures in fire. 2007. 11(2): p. 37-52.
- Industry, C.J.T.C.S., Assessment, design and repair of fire-damaged concrete structures. 2008.
- Buchanan, A.H. and A.K. Abu, Structural design for fire safety. 2017: John Wiley & Sons.
- Takemura, H.J.S.E.J., JSCE, A, Effect of hysteresis on ductility capacity of reinforced concrete bridge piers. 1997. 43: p. 849-848.
- Hoshikuma, J., et al., Stress-strain model for confined reinforced concrete in bridge piers. 1997. 123(5): p. 624-633.
- Kawashima, K., G. Shoji, and Y.J.J.o.S.E.A. Sakakibara, A cyclic loading test for clarifying the plastic hinge length of reinforced concrete piers. 2000. 46: p. 767-776.
- Saeed, H.Z., et al., Experimental and finite element investigation of strengthened LSC bridge piers under Quasi-Static Cyclic Load Test. 2015. 131: p. 556-564.
- Khan, Q.-U.-Z., et al., Seismic evaluation of repaired and retrofitted circular bridge piers of low-strength concrete. 2015. 40: p. 3057-3066.
- Khan, Q.u.Z., et al. Energy dissipation characteristics of retrofitted damaged low-strength concrete bridge pier. in Proceedings of the Institution of Civil Engineers-Bridge Engineering. 2021. Thomas Telford Ltd.
- Cascardi, A., F. Micelli, and M.A.J.E.S. Aiello, An Artificial Neural Networks model for the prediction of the compressive strength of FRP-confined concrete circular columns. 2017. 140: p. 199-208.
- Naderpour, H., et al., Innovative models for prediction of compressive strength of FRP-confined circular reinforced concrete columns using soft computing methods. 2019. 215: p. 69-84.
- Stamopoulos, A., K. Tserpes, and A.J.C.S. Dentsoras, Quality assessment of porous CFRP specimens using X-ray Computed Tomography data and Artificial Neural Networks. 2018. 192: p. 327-335.
- Le-Nguyen, K., et al., Development of deep neural network model to predict the compressive strength of FRCM confined columns. 2022. 16(10): p. 1213-1232.
- Al-Khaleefi, A.M., et al., Prediction of fire resistance of concrete filled tubular steel columns using neural networks. 2002. 37(4): p. 339-352.
- Abbas, H., et al., ANN models for prediction of residual strength of HSC after exposure to elevated temperature. 2019. 106: p. 13-28.
- Yadollahi, M.M., et al., Estimating of FRP-confined compressive strength of elevated temperature damaged concrete using ANN. 2012. 65: p. 384-393.
- Myers, R.H. and R.H. Myers, Classical and modern regression with applications. Vol. 2. 1990: Duxbury press Belmont, CA.
- Lawal, B. and H.B. Lawal, Categorical data analysis with SAS and SPSS applications. 2003: Psychology Press.
- Cladera, A. and A.J.E.s. Mari, Shear design procedure for reinforced normal and high-strength concrete beams using artificial neural networks. Part II: beams with stirrups. 2004. 26(7): p. 927-936.
- Cladera, A. and A.J.E.s. Marí, Shear design procedure for reinforced normal and high-strength concrete beams using artificial neural networks. Part I: beams without stirrups. 2004. 26(7): p. 917-926.
- LeCun, Y., Y. Bengio, and G.J.n. Hinton, Deep learning. 2015. 521(7553): p. 436-444.
- Bishop, C.M. and N.M. Nasrabadi, Pattern recognition and machine learning. Vol. 4. 2006: Springer.
- Rumelhart, D.E., G.E. Hinton, and R.J.J.n. Williams, Learning representations by back-propagating errors. 1986. 323(6088): p. 533-536.
- Ruder, S.J.a.p.a., An overview of gradient descent optimization algorithms. 2016.
- Svozil, D., et al., Introduction to multi-layer feed-forward neural networks. 1997. 39(1): p. 43-62.
- LeCun, Y., et al., Efficient backprop, in Neural networks: Tricks of the trade. 2002, Springer. p. 9-50.
- Rojas, R., Neural networks: a systematic introduction. 2013: Springer Science & Business Media.
- Wilson, D.R. and T.R.J.N.n. Martinez, The general inefficiency of batch training for gradient descent learning. 2003. 16(10): p. 1429-1451.
- Beale, M.H., M.T. Hagan, and H.B.J.U.s.G. Demuth, MathWorks, Neural network toolbox. 2010. 2: p. 77-81.
- Koivo, H.N., Basics using MATLAB Neural Network Toolbox.
- Ahmad, A., D.M. Cotsovos, and N.D.J.S.A.S. Lagaros, Framework for the development of artificial neural networks for predicting the load carrying capacity of RC members. 2020. 2: p. 1-21.
- Özkan, C., F.S.J.P.E. Erbek, and R. Sensing, The comparison of activation functions for multispectral Landsat TM image classification. 2003. 69(11): p. 1225-1234.
- Hassoun, M.H., Fundamentals of artificial neural networks. 1995: MIT press.
- Glorot, X. and Y. Bengio. Understanding the difficulty of training deep feedforward neural networks. in Proceedings of the thirteenth international conference on artificial intelligence and statistics. 2010. JMLR Workshop and Conference Proceedings.
- Al-Kamaki, Y.S., R. Al-Mahaidi, and I.J.C.S. Bennetts, Experimental and numerical study of the behaviour of heat-damaged RC circular columns confined with CFRP fabric. 2015. 133: p. 679-690.
- Hussain, I., et al. Finite element modeling and statistical analysis of fire-damaged reinforced concrete columns repaired using smart materials and FRP confinement. in 10th International Conference on FRP Composites in Civil Engineering: Proceedings of CICE 2020/2021 10. 2022. Springer.
- Xu, J., Circular Reinforced Concrete Columns Damaged By Fire and Retrofitted With Cfrp and Steel Jacketing. 2022, Syracuse University.
- Al-Nimry, H.S., A.M.J.I.J.o.C.S. Ghanem, and Materials, FRP confinement of heat-damaged circular RC columns. 2017. 11: p. 115-133.
- Siddiqui, N.A., et al., Experimental investigation of slender circular RC columns strengthened with FRP composites. 2014. 69: p. 323-334.
- Benzaid, R. and H.A.J.F.r.p.T.t.a.f.c.r. Mesbah, Circular and square concrete columns externally confined by CFRP composite: experimental investigation and effective strength models. 2013: p. 167-201.
- Wang, J., et al., Research and application of an air quality early warning system based on a modified least squares support vector machine and a cloud model. 2017. 14(3): p. 249.