Impact of concrete compressive strength on the reliability and the plastic moment of steel-concrete composite beams
Abstract
Introduction/purpose: This study investigated the influence of concrete compressive strength on the reliability and the plastic resistance moment of steel-concrete composite beams. The objective was to evaluate the impact of concrete strength variations on structural performance, with a particular attention to the plastic resistance moment which is critical to the safety and compliance of the composite beam.
Methods: To model the nonlinear behavior of concrete, Abaqus created a three-dimensional numerical model including a concrete damage plasticity (CDP) model. Reliability analysis was performed, and the failure probability was assessed using Monte Carlo simulations (MCS) and first-order (FORM) and second-order (SORM) reliability methods. The limit state function was determined according to Eurocode 4 criteria considering the concrete compressive strength of 25 to 80 MPA.
Results: As a result, it was found that the compressive strength of concrete significantly affects the plastic resistance moment and the reliability index of the composite beam. The high strength of concrete improves the plastic resistance moment, and the reliability index varies depending on the geometric and material property of the composite section and loading conditions.
Conclusion: The compressive strength of concrete is an important parameter that determines the structural characteristics and safety of steel-concrete composite beams. This highlighted the need to consider the variability of concrete strength when designing and evaluating composite structures to ensure compliance with reliability standards.
References
-ACI Committee 318. 2019. ACI CODE-318-19(22): Building Code Requirements for Structural Concrete and Commentary (Reapproved 2022) [online]. Availble at: https://www.concrete.org/store/productdetail.aspx?ItemID=318U19 [Accessed: 14 November 2024]
Bartlett, F.M., Dexter, R.J., Graeser, M.D., Jelinek, J.J., Schmidt, B.J. & Galambos, T.V. 2003. Updating Standard Shape Material Properties Database for Design and Reliability. Engineering Journal, 40(1), pp.2-14. Available at: https://doi.org/10.62913/engj.v40i1.800.
Benyahi, K., Bouafia, Y., Oudjene, M., Barboura, S. & Kachi, M.S. 2021. Numerical Procedure for the Three-Dimensional Nonlinear Modelling of Composite Steel–Concrete Beams. International Journal of Steel Structures, 21(3), pp.1063-1081. Available at: https://doi.org/10.1007/s13296-021-00490-1.
-CEN (The European Committee for Standardization). 1994. CEN ENV 1994-1-2:1994(MAIN) Eurocode 4: Design of composite steel and concrete structures - Part 1-2: General rules - Structural fire design [online]. Available at: https://standards.iteh.ai/catalog/standards/cen/6476197f-10f8-435d-8813-683bbdbd497e/env-1994-1-2-1994 [Accessed: 14 November 2024].
-CEN (The European Committee for Standardization). 2004. CEN EN 1992-1-2:2004(MAIN) Eurocode 2: Design of concrete structures - Part 1-2: General rules - Structural fire design [online]. Available at: https://standards.iteh.ai/catalog/standards/cen/597bff7e-4f49-446f-ac9b-69829a09d098/en-1992-1-2-2004 [Accessed: 14 November 2024].
Chaves, I.A., Beck, A.T. & Malite, M. 2010. Reliability-based evaluation of design guidelines for cold-formed steel-concrete composite beams. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 32(5), pp.442-449. Available at: https://doi.org/10.1590/S1678-58782010000500003.
Chiorean, C.G. & Buru, S.M. 2017. Practical nonlinear inelastic analysis method of composite steel-concrete beams with partial composite action. Engineering Structures, 134, pp.74-106. Available at: https://doi.org/10.1016/j.engstruct.2016.12.017.
Daanoune, N., Kernou, N., Fellah, M. & El-Hiti, G.A. 2024. Reliability and mechanical performance of timber-concrete composite beams in the non-linear domain. Građevinar, 76(11), pp.993-1003. Available at: https://doi.org/10.14256/JCE.4055.2024.
-Dassault Systèmes. 2016. Abaqus analysis user's guide. Dassault Systèmes, SIMULIA.
Du, H., Hu, X., Shi, D. & Xue, W. 2021. Flexural Performance of Composite Beams Using High-Strength Steel and High-Strength Concrete. International Journal of Steel Structures, 22, pp.27-41. Available at: https://doi.org/10.1007/s13296-021-00558-y.
Ellingwood, B., MacGregor, J.G., Galambos, T.V. & Cornell, C.A. 1982. Probability Based Load Criteria: Load Factors and Load Combinations. Journal of the Structural Division, 108(5), pp.978-997. Available at: https://doi.org/10.1061/JSDEAG.0005959.
-fib (The International Federation for Structural Concrete). 2013. fib Model Code for Concrete Structures 2010. International Federation for Structural Concrete (fib). Available at: https://doi.org/10.1002/9783433604090.
Grandhi, R.V. & Wang, L. 1999. Structural Reliability Analysis and Optimization: Use of Approximations. NASA/CR-1999-209154. Document ID:19990049421 [online]. Available at: https://ntrs.nasa.gov/citations/19990049421 [Accessed: 14 November 2024].
Guo, Y.-T., Chen, J., Nie, X., Tao, M.-X., Wang, J.-J. & Fan, J.-S. 2020. Investigation of the shear resistances of steel–concrete–steel composite structures with bidirectional webs. Journal of Constructional Steel Research, 164, art.number:105846. Available at: https://doi.org/10.1016/j.jcsr.2019.105846.
Haldar, A. & Mahadevan, S. 1999. Probability, Reliability, and Statistical Methods in Engineering Design. Wiley. ISBN: 978-0-471-33119-3.
Hognestad, E. 1951. A study of combined bending and axial load in reinforced concrete members. University of Illinois Engineering Experiment Station: Bulletin Series No. 399.
Johnson, R.P. 2018. Composite Structures of Steel and Concrete: Beams, Slabs, Columns and Frames for Buildings. Wiley. Available at: https://doi.org/10.1002/9781119401353.
Liang, Q.Q. 2018. Analysis and design of steel and composite structures, 1st Edition. CRC Press. Available at: https://doi.org/10.1201/9781315274843.
Luo, Y., Li, A. & Kang, Z. 2012. Parametric study of bonded steel–concrete composite beams by using finite element analysis. Engineering Structures, 34, pp.40-51. Available at: https://doi.org/10.1016/j.engstruct.2011.08.036.
Lydia, M. & Nassim, K. 2022. Reliability Analysis and Comparative Study of Ordinary Concrete and High Performance Concrete Filled with Steel Tube under Axial Compression. International Journal of Engineering Research in Africa, 61, pp.245-261. Available at: https://doi.org/10.4028/p-9h1zq6.
Mamuda, A., Abubakar, I. & Samson, D. 2018. Reliability-Based Structural Safety Evaluation of Concrete-Steel Composite Beams According to Euro Code 4. Engineering Physics, 2(2), pp.32-40 [online]. Available at: https://www.sciencepublishinggroup.com/article/10.11648/j.ep.20180202.11 [Accessed: 14 November 2024].
Mans, P., Yakel, A.J. & Azizinamini, A. 2001. Full-Scale Testing of Composite Plate Girders Constructed Using 485-MPa High-Performance Steel. Journal of Bridge Engineering, 6(6), pp.598-604. Available at: https://doi.org/10.1061/(ASCE)1084-0702(2001)6:6(598).
Morse, L., Khodaei, Z.S. & Aliabadi, M.H. 2017. Multi-Fidelity Modeling-Based Structural Reliability Analysis with the Boundary Element Method. Journal of Multiscale Modelling, 8(03n04), art.number:1740001. Available at: https://doi.org/10.1142/S1756973717400017.
Nie, J., Li, H. & Tang, L. 2009. Experimental study on HSS-concrete composite beams. Journal of Building Structures, 30(02), pp.64-69 [online]. Available at: http://www.jzjgxb.com/EN/Y2009/V30/I02/64 [Accessed: 14 November 2024].
Rackwitz, R. 2001. Reliability analysis—a review and some perspectives. Structural Safety, 23(4), pp.365-395. Available at: https://doi.org/10.1016/S0167-4730(02)00009-7.
Rezaie, F., Farnam, S.M. & Pour Bahar, S. 2022. Numerical Analysis of Reinforced Concrete Beam-Column Joints without Transverse Reinforcement. Numerical Methods in Civil Engineering, 7(2), pp.50-60. Available at: https://doi.org/10.52547/nmce.2022.238.
-The Government of the Hong Kong Special Administrative Region: Buildings Department. 2020. Code of Practice for Structural Use of Concrete 2013 (2020 Edition). The Government of the Hong Kong Special Administrative Region: Buildings Department [online]. Available at: https://www.bd.gov.hk/doc/en/resources/codes-and-references/code-and-design-manuals/CoP_SUC2013e.pdf [Accessed: 14 November 2024].
Youn, S.-G., Bae, D. & Kim, Y.-J. 2011. Ultimate Flexural Strength of Hybrid Composite Girders Using High-Performance Steel of HSB600 at Sagging Bending. In: Composite Construction in Steel and Concrete VI, pp.680-690. Available at: https://doi.org/10.1061/41142(396)56.
Yu, B., Ning, C.-L. & Li, B. 2017. Probabilistic durability assessment of concrete structures in marine environments: Reliability and sensitivity analysis. China Ocean Engineering, 31(1), pp.63-73. Available at: https://doi.org/10.1007/s13344-017-0008-3.
Copyright (c) 2025 Nabil Daanoune, Nassim Kernou

This work is licensed under a Creative Commons Attribution 4.0 International License.
Proposed Creative Commons Copyright Notices
Proposed Policy for Military Technical Courier (Journals That Offer Open Access)
Authors who publish with this journal agree to the following terms:
Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
