AI-Driven Shear Capacity Model of Steel Studs in Composite Structural Systems
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In composite steel-concrete structures, shear connectors in the form of headed steel studs are commonly utilized to transfer longitudinal shear force developed at the interface between the two materials. To overcome the shortcomings of design codes, which frequently understate shear capacity and fail to take advantage of sophisticated computational methods, this paper presents an optimization attempt to estimate the shear strength of headed steel studs utilizing the Grey Wolf Optimizer (GWO) technique using MATLAB software. Data from 234 experimental tests are employed to identify and highlight key input parameters influencing the shear strength of headed steel studs. These key parameters include concrete compressive strength (f’c), diameter (D), and tensile strength of the steel stud shank (fu). After identifying and examining the limits of the experimental data, the proposed model has been developed using about 80% of the mixed raw dataset. The remaining 20% of the raw data is utilized to validate the proposed model. The predicted shear strength of headed steel studs closely matched the experimental results. This research offers an innovative strategy to measure the steel stud's shear capacity employing GWO, showing the current code's limitations. The GWO model showed excellent accuracy in predicting the shear strength with an R-value of 0.9922, indicating that the predicted value is in good agreement with experimental observations. Interestingly, the model's mean absolute error with 100 wolves in the GWO method was only 7.51%, showing the proposed model provides an improvement in shear capacity forecasting for practical structural engineering applications.
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[1] Liejy, M. C., Al Zand, A. W., Mutalib, A. A., Abdulhameed, A. A., Kaish, A. B. M. A., Tawfeeq, W. M., Baharom, S., Al-Attar, A. A., Hanoon, A. N., & Yaseen, Z. M. (2023). Prediction of the Bending Strength of a Composite Steel Beam–Slab Member Filled with Recycled Concrete. Materials, 16(7), 2748. doi:10.3390/ma16072748.
[2] He, J., Liu, Y., Chen, A., & Yoda, T. (2010). Experimental study on inelastic mechanical behaviour of composite girders under hogging moment. Journal of Constructional Steel Research, 66(1), 37–52. doi:10.1016/j.jcsr.2009.07.005.
[3] Lin, Z., Liu, Y., & He, J. (2014). Behavior of stud connectors under combined shear and tension loads. Engineering Structures, 81, 362–376. doi:10.1016/j.engstruct.2014.10.016.
[4] Abdulhameed, A. A., Hanoon, A. N., Abdulhameed, H. A., Banyhussan, Q. S., & Mansi, A. S. (2021). Push-out test of steel–concrete–steel composite sections with various core materials: behavioral study. Archives of Civil and Mechanical Engineering, 21(1), 17. doi:10.1007/s43452-021-00173-y.
[5] Baran, E., & Topkaya, C. (2012). An experimental study on channel type shear connectors. Journal of Constructional Steel Research, 74, 108–117. doi:10.1016/j.jcsr.2012.02.015.
[6] Hamed, T. M., & Said, A. I. (2025). Shear Strength and Serviceability of GFRP-Reinforced Concrete Beams: A Study on Varying Reinforcement Ratios. Civil Engineering Journal (Iran), 11(3), 857–883. doi:10.28991/CEJ-2025-011-03-04.
[7] Liu, J., Xie, J., Xiong, G., Wang, X., Zou, Y., Shu, R., & Frank Chen, Y. (2023). Full-scale push-out testing of headed stud-steel block connectors in prefabricated steel-concrete composite beams. Engineering Structures, 285, 116020. doi:10.1016/j.engstruct.2023.116020.
[8] Hason, M. M., Mussa, M. H., & Abdulhadi, A. M. (2021). Flexural ductility performance of hybrid-recycled aggregate reinforced concrete T-beam. Materials Today: Proceedings, 46, 682–688. doi:10.1016/j.matpr.2020.11.747.
[9] Avci-Karatas, C. (2022). Application of Machine Learning in Prediction of Shear Capacity of Headed Steel Studs in Steel–Concrete Composite Structures. International Journal of Steel Structures, 22(2), 539–556. doi:10.1007/s13296-022-00589-z.
[10] Mansi, A. S., Abdulhameed, H. A., & Yong, Y. K. (2018). Development of Low-Shrinkage Rapid Set Composite and Simulation of Shrinkage Cracking in Concrete Patch Repair. Airfield and Highway Pavements - Selected Papers from the International Conference on Transportation and Development 2018, 215–226. doi:10.1061/9780784481554.022.
[11] Zhang, X., Wang, H., Lu, Q., Hu, S., & Zheng, Y. (2024). Fatigue growth behavior of mode II crack in headed stud steel used in steel–concrete composite structures. Engineering Failure Analysis, 161, 108287. doi:10.1016/j.engfailanal.2024.108287.
[12] Hosseini, S. M., Mashiri, F., & Mirza, O. (2020). Research and developments on strength and durability prediction of composite beams utilising bolted shear connectors (Review). Engineering Failure Analysis, 117, 104790. doi:10.1016/j.engfailanal.2020.104790.
[13] Hason, M. M., Hanoon, A. N., Saleem, S. J., Hejazi, F., & Al Zand, A. W. (2021). Characteristics of experimental ductility energy index of hybrid-CFRP reinforced concrete deep beams. SN Applied Sciences, 3(2), 200. doi:10.1007/s42452-021-04202-6.
[14] Badie, S. S., Tadros, M. K., Kakish, H. F., Splittgerber, D. L., & Baishya, M. C. (2002). Large Shear Studs for Composite Action in Steel Bridge Girders. Journal of Bridge Engineering, 7(3), 195–203. doi:10.1061/(asce)1084-0702(2002)7:3(195).
[15] Dogan, O., & Roberts, T. M. (2012). Fatigue performance and stiffness variation of stud connectors in steel-concrete-steel sandwich systems. Journal of Constructional Steel Research, 70, 86–92. doi:10.1016/j.jcsr.2011.08.013.
[16] Gattesco, N., & Giuriani, E. (1996). Experimental Study on Stud Shear Connectors Subjected to Cyclic Loading. Journal of Constructional Steel Research, 38(1), 1–21. doi:10.1016/0143-974X(96)00007-7.
[17] Han, Q., Wang, Y., Xu, J., Xing, Y., & Yang, G. (2017). Numerical analysis on shear stud in push-out test with crumb rubber concrete. Journal of Constructional Steel Research, 130, 148–158. doi:10.1016/j.jcsr.2016.12.008.
[18] Kim, J. S., Kwark, J., Joh, C., Yoo, S. W., & Lee, K. C. (2015). Headed stud shear connector for thin ultrahigh-performance concrete bridge deck. Journal of Constructional Steel Research, 108, 23–30. doi:10.1016/j.jcsr.2015.02.001.
[19] Valente, I. B., & Cruz, P. J. S. (2009). Experimental analysis of shear connection between steel and lightweight concrete. Journal of Constructional Steel Research, 65(10–11), 1954–1963. doi:10.1016/j.jcsr.2009.06.001.
[20] Xu, C., Sugiura, K., Masuya, H., Hashimoto, K., & Fukada, S. (2015). Experimental Study on the Biaxial Loading Effect on Group Stud Shear Connectors of Steel-Concrete Composite Bridges. Journal of Bridge Engineering, 20(10), 4014110. doi:10.1061/(asce)be.1943-5592.0000718.
[21] Xue, D., Liu, Y., Yu, Z., & He, J. (2012). Static behavior of multi-stud shear connectors for steel-concrete composite bridge. Journal of Constructional Steel Research, 74, 1–7. doi:10.1016/j.jcsr.2011.09.017.
[22] Xue, W., Ding, M., Wang, H., & Luo, Z. (2008). Static Behavior and Theoretical Model of Stud Shear Connectors. Journal of Bridge Engineering, 13(6), 623–634. doi:10.1061/(asce)1084-0702(2008)13:6(623).
[23] Shim, C. S., Lee, P. G., & Yoon, T. Y. (2004). Static behavior of large stud shear connectors. Engineering Structures, 26(12), 1853–1860. doi:10.1016/j.engstruct.2004.07.011.
[24] Zhu, X., Tanaka, H., Sakurai, H., & Yoshitake, K. (2023). Experimental and analytical investigation of notched steel plate as a novel shear connector. Engineering Failure Analysis, 152, 107516. doi:10.1016/j.engfailanal.2023.107516.
[25] Sharba, A. A. K., Abu Altemen, A. A. G., & Hason, M. M. (2021). Shear behavior of exploiting recycled brick waste and steel slag as an alternative aggregate for concrete production. Materials Today: Proceedings, 42, 2621–2628. doi:10.1016/j.matpr.2020.12.591.
[26] Shukur, R. K. (2009). Nonlinear Analyses of Partially Composite Steel Beams Encased in Concrete With Innovative Position of Stud Bolts. Journal of Engineering, 15(1), 3368–3391. doi:10.31026/j.eng.2009.01.10.
[27] Gyawali, M., Sennah, K., Ahmed, M., & Hamoda, A. (2024). Experimental study of static and fatigue push-out test on headed stud shear connectors in UHPC composite steel beams. Structures, 70, 107923. doi:10.1016/j.istruc.2024.107923.
[28] Zhu, Y., Taffese, W. Z., & Chen, G. (2025). Data-Driven Shear Capacity Prediction of Studs Embedded in UHPC for Steel–UHPC Composite Structures. Journal of Structural Engineering, 151(9), 4025119. doi:10.1061/jsendh.steng-13818.
[29] Lam, D. (2007). Capacities of headed stud shear connectors in composite steel beams with precast hollowcore slabs. Journal of Constructional Steel Research, 63(9), 1160–1174. doi:10.1016/j.jcsr.2006.11.012.
[30] Nguyen, H. T., & Kim, S. E. (2009). Finite element modeling of push-out tests for large stud shear connectors. Journal of Constructional Steel Research, 65(10–11), 1909–1920. doi:10.1016/j.jcsr.2009.06.010.
[31] Ellobody, E., & Young, B. (2006). Performance of shear connection in composite beams with profiled steel sheeting. Journal of Constructional Steel Research, 62(7), 682–694. doi:10.1016/j.jcsr.2005.11.004.
[32] Shahabi, S. E. M., Ramli Sulong, N. H., Shariati, M., & Shah, S. N. R. (2016). Performance of shear connectors at elevated temperatures ? A review. Steel and Composite Structures, 20(1), 185–203. doi:10.12989/scs.2016.20.1.185.
[33] Mussa, M. H., Hason, M. M., & Abdulhameed, H. A. (2022). Fire Simulation of RC Slab Inclusion with Nano-silica and High Volume Fly Ash. AIP Conference Proceedings, 2660(1), 20039. doi:10.1063/5.0109533.
[34] Mirza, O. (2008). Behaviour and design of headed stud shear connectors in composite steel-concrete beams. PhD Thesis, University of Western Sydney, Sydney, Australia.
[35] Duan, M., Zou, X., Bao, Y., Li, G., Chen, Y., & Li, Z. (2022). Experimental investigation of headed studs in steel-ultra-high performance concrete (UHPC) composite sections. Engineering Structures, 270, 114875. doi:10.1016/j.engstruct.2022.114875.
[36] Ahn, N., & Lee, Y. H. (2012). A Study on Strength of Shear Stud in High Strength Concrete. Journal of Korean Society of Hazard Mitigation, 12(2), 1–7. doi:10.9798/kosham.2012.12.2.001.
[37] Abambres, M., & He, J. (2019). Shear Capacity of Headed Studs in Steel-Concrete Structures: Analytical Prediction via Soft Computing. Steel-Concrete Structures: Analytical Prediction via Soft Computing, hal-02074833, 1-31. doi:10.2139/ssrn.3368670.
[38] BS EN 1994-1-1:2004. (2005). Eurocode 4. Design of composite steel and concrete structures. General rules and rules for buildings. British Standard Institute (BSI), London, United Kingdom. doi:10.3403/03221508.
[39] AASHTO. (1998). Bridge Design Specifications. American Association of State Highway and Transportation Officials (AASHTO), Washington, United States.
[40] GB 50017-2017. (2017). GB 50017-2017: Code for design of steel structures. Standardization Administration of China, China Architecture & Building Press, Beijing, China.
[41] Zhou, C., Wang, W., & Zheng, Y. (2024). Data-driven shear capacity analysis of headed stud in steel-UHPC composite structures. Engineering Structures, 321, 118946. doi:10.1016/j.engstruct.2024.118946.
[42] Driscoll, G. C., & Slutter, R. G. (1961). Research on composite design at Lehigh University. Proceedings of the National Engineering Conference, May, 1961, Lehigh University, Pennsylvania, United States.
[43] Hanoon, A. N., Jaafar, M. S., Hejazi, F., & Abdul Aziz, F. N. A. (2017). Energy absorption evaluation of reinforced concrete beams under various loading rates based on particle swarm optimization technique. Engineering Optimization, 49(9), 1483–1501. doi:10.1080/0305215X.2016.1256729.
[44] Hanoon, A. N., Abdulhameed, A. A., Abdulhameed, H. A., & Mohaisen, S. K. (2019). Energy Absorption Evaluation of CFRP-Strengthened Two-Spans Reinforced Concrete Beams under Pure Torsion. Civil Engineering Journal (Iran), 5(9), 2007–2018. doi:10.28991/cej-2019-03091389.
[45] Mirjalili, S., Mirjalili, S. M., & Lewis, A. (2014). Grey Wolf Optimizer. Advances in Engineering Software, 69, 46–61. doi:10.1016/j.advengsoft.2013.12.007.
[46] Muro, C., Escobedo, R., Spector, L., & Coppinger, R. P. (2011). Wolf-pack (Canis lupus) hunting strategies emerge from simple rules in computational simulations. Behavioural Processes, 88(3), 192–197. doi:10.1016/j.beproc.2011.09.006.
[47] Frank, I. E., & Todeschini, R. (1994). The Data Analysis Handbook. Data Handling in Science and Technology, Elsevier, Amsterdam, Netherlands. doi:10.1016/S0922-3487(08)70048-0.
[48] Smith, G. N. (1986). Probability and statistics in civil engineering. Collins Professional and Technical Books, London, United Kingdom.
[49] Hassan, S. A., Hason, M. M., Hanoon, A. N., & Abdulhameed, A. A. (2025). Optimized stress-strain modeling of eco-friendly fiber-reinforced concrete members using meta-heuristic algorithms. Case Studies in Construction Materials, 23, 5011. doi:10.1016/j.cscm.2025.e05011.
[50] Golbraikh, A., & Tropsha, A. (2002). Beware of q2! Journal of Molecular Graphics and Modelling, 20(4), 269–276. doi:10.1016/S1093-3263(01)00123-1.
[51] Gandomi, A. H., & Alavi, A. H. (2013). Expression Programming Techniques for Formulation of Structural Engineering Systems. Metaheuristic Applications in Structures and Infrastructures, Elsevier, Amsterdam, Netherlands. doi:10.1016/B978-0-12-398364-0.00018-8.
[52] Roy, P. P., & Roy, K. (2008). On some aspects of variable selection for partial least squares regression models. QSAR and Combinatorial Science, 27(3), 302–313. doi:10.1002/qsar.200710043.
[53] Bagheri, M., Bagheri, M., Gandomi, A. H., & Golbraikh, A. (2012). Simple yet accurate prediction method for sublimation enthalpies of organic contaminants using their molecular structure. Thermochimica Acta, 543, 96–106. doi:10.1016/j.tca.2012.05.008.
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