Analysis of the calculated relation for evaluating of the strength of bent reinforced concrete elements with circular shape of cross-section under the action of shear forces
https://doi.org/10.37538/0005-9889-2025-4(629)-5-18
EDN: QZCDNO
Abstract
Introduction. Current Russian codes of design of reinforced concrete elements do not have rules and considerations for analysis of bent and compressed elements with irregular (not similar to rectangle) shape of cross-section under the action of shear forces. As result of previous investigations which were conducted in Research Institute of Concrete and Reinforced Concrete (NIIZNB) named after A.A. Gvozdev, new method of evaluating of the bearing capacity of inclined cross-section was proposed. Developed method has good matching with the results of experiments, conducted by Russian and foreign researchers. This paper deals with comparison of results of experiments with analysis by proposed model.
Aim. Further improvement of methods of analysis of strength of inclined sections of bent and compressed elements with irregular (not similar to rectangle) shape of cross-section under the action of shear forces. Comparison of proposed model with available data of experiments and results of numerical analysis.
Materials and methods. Theoretical investigations have been conducted on base of results of experiments, conducted earlier by Russian and foreign researchers for elements with circular cross-section. Totally, analysis has been performed for 13 samples with circular crosssection.
Results. Quality analysis of results of experiments and considerations of foreign codes has been conducted. Method of calculating of bearing capacity of bent reinforced concrete member with circular cross-section has been proposed. As a result of provided comparison of proposed method with data of experiments it was found out that proposed method provides required level of reliability – average rate of experimental bearing capacity to calculated value is 1.241 with standard deviation 0.123. It has been stated, that maximum deviation of results of calculation by proposed model was observed for samples with higher strength of concrete. As a result, it was recommended to provide additional investigations of samples with high strength of concrete, i.e. High Strength Concrete (HSC) samples (with strength greater than 60 MPa).
Conclusions. Method for calculating of the bearing capacity of bent reinforced elements under action of shear forces by the sloping crack has been proposed. When developing the methodology, continuity with current Russian regulatory documents in the part of elements with rectangular cross-section was taken into account. Proposed model has been checked with available results of experiment (totally 13 experiments of different authors). According to conducted evaluating of results of experiments proposed model provides enough reserve of reliability. To additional checking of reliability of high strength concrete members, it was recommended to provide additional experiments, I.e. for high strength concrete members.
Keywords
About the Authors
S. A. ZeninRussian Federation
Sergey A. Zenin*, Cand. Sci. (Engineering), Head of the Laboratory of the Theory of Reinforced Concrete and Constructive Systems, Research Institute of Concrete and Reinforced Concrete Structures named after A.A. Gvozdev, JSC Research Center of Construction, Moscow
e-mail: lab01@mail.ru
E. A. Redikultsev
Russian Federation
Evgeniy A. Redikultsev, Postgraduate Student, FSAEI HE Ural Federal University named after the first President of Russia B.N. Yeltsin, Yekaterinburg
References
1. SP 63.13330.2018. Concrete and reinforced concrete structures. General provisions. Updated version of SNiP 52-01-2003. Moscow: Standartinform Publ., 2019. (In Russian).
2. Borishansky M.S. Analysis of inclined rebars and stirrups in collapse stage [dissertation]. 1942. (In Russian).
3. Zalesov A.S. Resistance of reinforced concrete elements under the action of transverse forces. Theory and new methods of strength calculation [dissertation]. Moscow, 1979, 369 p. (In Russian).
4. SNiP 2.03.01-84*. Concrete and reinforced concrete structures. Moscow, 1985. (In Russian).
5. Manual for the design of concrete and reinforced concrete structures made of heavy lightweight concrete without prestressing reinforcement (to SNiP 2.03.01-84). Moscow: Central Institute for Standard Design, 1989, 192 p. (In Russian).
6. Thamrin R., Haris S., Dedi E., Dalmantias E. Shear Capacity of Reinforced Concrete Beams with Square Cross Section Subjected to Biaxial Bending. IOP Conference Series: Materials Science and Engineering. 2020, vol. 713, no. 1, 012029. DOI: https://doi.org/10.1088/1757-899X/713/1/012029.
7. Zalesov A.S., Klimov Yu.A. Strength of reinforced concrete structures under the action of shear forces. Kiev: Budivelnyk, 1989, 104 p. (In Russian).
8. ACI 318-19. Building Code Requirements for Structural Concrete. American Concrete Institute, 2019.
9. EN 1992-1-1: Eurocode 2: Design of concrete structures – Part 1-1: General rules and rules for buildings. 2004.
10. IS 456:2000. Plain and reinforced concrete – code of practice (fourth Revision). Bureau of Indian Standards, 2000.
11. Mukhamediev T.A., Zenin S.A., Zharkikh A.S. The reliability assessment of the method for calculating the strength of oblique sections in reinforced concrete elements with various cross-sectional shape. Vestnik NIC Stroitel’stvo = Bulletin of Science and Research Center of Construction. 2022, no. 2 (33), pp. 139–149. (In Russian). DOI: https://doi.org/10.37538/2224-9494-2022-2(33)-139-149. EDN: FBWFRF.
12. Mukhamediev T.A., Zenin S.A. On the calculation of the strength of inclined sections of reinforced concrete elements with different cross-section shapes. Stroitel’nye Materialy = Construction Materials. 2022, no. 8, pp. 70–74. (In Russian). DOI: https://doi.org/10.31659/0585-430X-2022-805-8-70-74. EDN: AGUOMO.
13. Kowalsky M.J., Priestley M.J.N. Improved Analytical Model for Shear Strength of Circular Reinforced Concrete Columns in Seismic Regions. ACI Structural Journal. 2000, vol. 97, no. 3, pp. 388–396.
14. Ang B.G., Priestley M.J.N., Paulay T. Seismic shear strength of circular reinforced concrete columns. ACI Structural Journal. 1989, vol. 86(1), pp. 45–59. DOI: https://doi.org/10.14359/2634.
15. Arakawa T., He M.X., Arai Y., Mizoguchi M. Ultimate shear strength of spirally confined concrete columns. Transactions of the Japan Concrete Institute. 1987, no. 9, pp. 305–312.
16. AlaaEldin Abouelleil, M.S., Hayder Rasheed. Report No. K-TRAN: KSU-14-4. Kansas Department of Transportation Column Expert: Ultimate Shear Capacity of Circular Columns Using the Simplified Modified Compression Field Theory, September 2015.
17. Shipulin S.A., Belyaeva Z.V., Mironova L.I. Evaluation of calculation methods of reinforced concrete elements subjected to biaxial action of shear forces. Bulletin of BSTU named after V.G. Shukhov. 2024, no. 8, pp. 39–53 (In Russian). DOI: https://doi.org/10.34031/2071-7318-2024-9-8-39-53.
18. Manual for design and building of underground structures. Research institute of building structures. Moscow: Stroyizdat Publ., 1986 (In Russian).
Review
For citations:
Zenin S.A., Redikultsev E.A. Analysis of the calculated relation for evaluating of the strength of bent reinforced concrete elements with circular shape of cross-section under the action of shear forces. Concrete and Reinforced Concrete. 2025;629(4):5-18. https://doi.org/10.37538/0005-9889-2025-4(629)-5-18. EDN: QZCDNO