Efficiency of using the bearing capacity surface of reinforced concrete sections and analysis of methods for its construction
DOI:
https://doi.org/10.55287/22275398_2026_58_97Keywords:
reinforced concrete sections, physical nonlinearity, bearing capacity, bearing capacity surfaceAbstract
The study investigates the efficiency of using the bearing capacity surface in the design of reinforced concrete sections. Two methods for constructing it in the N–Mx–My force space are considered: the direct method, based on a parametric sweep of external forces, and the inverse method, in which points of the surface are determined by specifying ultimate strains followed by calculating the corresponding forces. The accuracy of determining the strength utilization coefficient based on the ultimate moment was evaluated on a test load set by comparing it with reference values obtained from direct ultimate state calculations considering the physical nonlinearity of materials. It is shown that both surfaces provide high accuracy, while the direct method produces a smoother surface, and the inverse method allows for a significant reduction in construction time.
References
1. Krakovskii M. B., Tikhonov I. N. Osobennosti raschetov normal’nykh sechenii zhelezobetonnykh konstruktsii po SP 63.13330.2018. Beton i zhelezobeton. 2023;618(4):5–11. DOI: https://doi.org/10.37538/0005-9889-2023-4(618)-5-11
2. Zalesov A. S., Kodysh E. N., Lemysh L. L., Nikitin I. K. Raschet zhelezobetonnykh konstruktsii po prochnosti, treshchinostoikosti i deformatsiiam. Moscow: Stroiizdat; 1988. 320 p.
3. Koiankin A. A. O raschete zhelezobetonnykh izgibaemykh elementov na osnove nelineinoi deformatsionnoi modeli. Academia. Arkhitektura i stroitel’stvo. 2025;(1).
4. Berlinova M. N. K raschetu szhatykh zhelezobetonnykh kolonn v sluchae odnostoronnego khimkorrozionnogo povrezhdeniia. Sistemnye tekhnologii. 2023;3(48):42–47. doi:10.55287/22275398_2023_3_42.
5. Charalampakis A. E., Koumousis V. K. Ultimate strength analysis of composite sections under biaxial bending and axial load. Advances in Engineering Software. 2008;39:923–936. DOI: https://doi.org/10.1016/j.advengsoft.2008.01.007
6. Sfakianakis M. G. Biaxial bending with axial force of reinforced, composite and repaired concrete sections of arbitrary shape by fiber model and computer graphics. Advances in Engineering Software. 2002;33:227–242. DOI: https://doi.org/10.1016/S0965-9978(02)00002-9
7. Shevchenko A. V., Davidiuk A. A., Baglaev N. N. Metod iteratsii dlia rascheta zhelezobetonnykh elementov na osnove nelineinoi deformatsionnoi modeli. Promyshlennoe i grazhdanskoe stroitel’stvo. 2022;(3):13–18.
8. Zalesov A. S., Mukhamediev T. A., Chistiakov E. A. Uchet fizicheskoi nelineinosti pri raschete zhelezobetonnykh monolitnykh konstruktsii vysotnykh zdanii. Stroitel’naia mekhanika i raschet sooruzhenii. 2005;(1):4–8.
9. Kim H.-S. Interaction diagram of arbitrarily shaped concrete sections determined by constrained nonlinear optimization. KSCE Journal of Civil Engineering. 2021;25(10):3823–3834. DOI: https://doi.org/10.1007/s12205-021-2008-3
10. Kim H. S., Choi H. N. Interaction diagram of jacketed reinforced concrete section considering the effect of preload. International Journal of Concrete Structures and Materials. 2025;19:108. DOI: https://doi.org/10.1186/s40069-025-00857-2
11. STRUCTUREPOINT LLC. spColumn®: Computer program for engineering design of reinforced concrete sections [Internet]. Portland (OR): STRUCTUREPOINT LLC; 2002–2016.