Research Articles | Challenge Journal of Structural Mechanics

Optimal metaheuristic design of CFRP wrapping for enhancing the shear capacity of reinforced concrete columns

Ammar Khalbous, Gebrail Bekdaş, Sinan Melih Nigdeli, Aylin Ece Kayabekir


DOI: https://doi.org/10.20528/cjsmec.2026.01.005
View Counter: Abstract | 142 times | ‒ Full Article | 57 times |

Full Text:

PDF

Abstract


Reinforced concrete (RC) columns are prone to brittle shear failure under lateral loads like earthquakes, especially in older structures. Carbon fiber reinforced polymer (CFRP) wrapping effectively enhances shear capacity, ductility, and energy dissipation. This study optimizes CFRP jacket design to increase shear strength while minimizing material volume per meter of column. The objective function includes the number of layers (n), strip width (Wf), spacing (Sf), and thickness (tf), following ACI 440.2R-2017 and ACI 318-05 constraints on strain, shear contribution, and capacity. Three metaheuristic algorithms—JAYA, Teaching-Learning-Based Optimization (TLBO), and Flower Pollination Algorithm (FPA)—were used to solve the nonlinear problem in MATLAB with randomized populations, 100–500 iterations, and 30 independent runs. Analyses for 100–500 kN shear demands (20%–100% increases) yield valid designs. Low shear demands typically require minimal CFRP, often a single layer with moderate strip width and large spacing. Higher demands required more intensive reinforcement through increased layer count and reduced spacing, with width adjustments as needed to satisfy code constraints. FPA achieved the lowest CFRP volumes due to its Lévy-flight global search, TLBO produced the most stable results with low variability, and JAYA offered the fastest computation. Increasing iteration count and population size improved convergence in all algorithms, yielding solutions closer to the optimum. Results confirm that metaheuristics enable economical, reliable CFRP retrofitting, promoting sustainability. Future work could include multi-objective optimization for cost and constructability.


Keywords


CFRP strengthening; shear capacity; metaheuristic optimization; JAYA algorithm; teaching-learning-based optimization; flower pollination algorithm

References


Abdel-Basset M, Shawky LA (2019). Flower pollination algorithm: a comprehensive review. Artificial Intelligence Review, 52(4), 2533-2557.

ACI 318-05 (2005). Building Code Requirements for Structural Concrete (ACI 318-05) and Commentary (ACI 318R-05). American Concrete Institute, Farmington Hills, MI, USA.

ACI 440.2R-17 (2017). Guide for the Design and Construction of Externally Bonded FRP Systems for Strengthening Concrete Structures. American Concrete Institute, Farmington Hills, MI, USA.

Aydın Y, Ahadian F, Bekdaş G, Nigdeli S (2024). Prediction of optimum design of welded beam design via machine learning. Challenge Journal of Structural Mechanics, 10(3), 86-94.

Camp CV, Farshchin M (2014). Design of space trusses using modified teaching–learning based optimization. Engineering Structures, 62–63, 87-97.

Çoşut M, Bekdaş G, Nigdeli S (2023). Optimization of reinforced concrete frame structures and matrix displacement method. Challenge Journal of Concrete Research Letters, 14(1), 10-17.

da Silva LS, Lúcio YL, Coelho LD, Mariani VC, Rao RV (2022). A comprehensive review on Jaya optimization algorithm. Artificial Intelligence Review, 56, 4329-4361.

Dede T, Ayvaz Y (2013). Structural optimization with teaching-learning-based optimization algorithm. Structural Engineering and Mechanics, 47(4), 495-511.

Dugguh LN (2015). Multi-objective optimization of carbon fibre reinforced plastic (CFRP) circular hollow section using genetic algorithm for engineering structures. International Refereed Journal of Engineering and Science, 4(12), 24–28.

Duysak Y, Nigdeli SM, Bekdaş G (2024). Optimum design of reinforced concrete beam sections with JAYA algorithm. Challenge Journal of Concrete Research Letters, 15(4), 134-141.

Gkournelos PD, Triantafillou TC, Bournas DA (2021). Seismic upgrading of existing reinforced concrete buildings: A state-of-the-art review. Engineering Structures, 240, 112273.

Kayabekir AE, Sayın B, Nigdeli SM, Bekdaş G (2018). Jaya algorithm based optimum carbon fiber reinforced polymer design for reinforced concrete beams. AIP Conference Proceedings, 1978(1), 260006.

Kayabekir AE (2018). Yapı Mühendisliğinde Metasezgisel Algoritmalar ile Optimizasyon Uygulamaları [Optimization Applications with Metaheuristic Algorithms in Structural Engineering]. M.Sc. thesis, İstanbul University-Cerrahpaşa, İstanbul, Türkiye. (in Turkish)

Nigdeli SM, Bekdaş G, Kayabekir AE (2023). Metasezgisel yöntemlerle betonarme yapı elemanlarının optimizasyonu [Optimization of reinforced concrete structural elements with metaheuristic methods]. İstanbul University-Cerrahpaşa Yayınları, İstanbul, Türkiye. (in Turkish)

Pavlyukevich I (2007). Lévy flights, non-local search and simulated annealing. Journal of Computational Physics, 227(1), 183-190.

Rahman MM, Jumaat MZ, Hosen MA (2012). Genetic algorithm for material cost minimization of external strengthening system with fiber reinforced polymer. Advanced Materials Research, 468–471, 1817–1822.

Rao RV, Savsani VJ, Vakharia DP (2011). Teaching–learning-based optimization: a novel method for constrained mechanical design optimization problems. Computer-Aided Design, 43(3), 303-315.

Rao RV (2016). Jaya: A simple and new optimization algorithm for solving constrained and unconstrained optimization problems. International Journal of Industrial Engineering: Theory, Applications and Practice, 7, 19-34.

Saber S, Elhenawy I (2021). A survey on flower pollination algorithm. Journal of Intelligent Systems and Internet of Things, 2(1), 5–11.

Tomar V, Bansal M, Singh P (2023). Metaheuristic algorithms for optimization: A brief review. Engineering Proceedings, 59(1), 238.

Ulusoy S, Kayabekir AE, Bekdaş G, Nigdeli SM (2020). Metaheuristic algorithms in optimum design of reinforced concrete beam by investigating strength of concrete. Challenge Journal of Concrete Research Letters, 11(2), 26-30.

Xie J, Liu XM, Zhao T (2005). Shear capacity of reinforced concrete columns strengthened with CFRP sheet. Journal of Zhejiang University - Science A: Applied Physics & Engineering, 6(8), 853-858.

Yang XS (2012). Flower pollination algorithm for global optimization. In: Durand-Lose J, Jonoska N, editors. Unconventional computation and natural computation. Lecture Notes in Computer Science, 7445. Springer, London, UK, 240-249.

Yun Y, Gen M, Erdene TN (2023). Applying GA-PSO-TLBO approach to engineering optimization problems. Mathematical Biosciences and Engineering, 20(1), 552–571.

Yücel M (2025). Comparison of flower pollination algorithm and particle swarm optimization for structural weight minimization of RC beams with carbon fiber reinforced polymer (CFRP). Afyon Kocatepe University Journal of Sciences and Engineering, 25(2), 381–387.


Related Articles