Skip to main content

Calculation of Overreinforced Concrete Bending Elements Based on Modern Models for Deformation of Materials

  • Conference paper
  • First Online:
Proceedings of the 4th International Conference on Building Innovations (ICBI 2022)

Abstract

The paper considers the methods of calculating overreinforced normal cross-sections of reinforced concrete bending elements. Overreinforced elements have an interesting characteristic: at the destruction point, the stress in the tension reinforcement does not reach the yield point, which determines the utilization of certain assumptions when using engineering methods for calculating such elements. In particular, in simplified engineering models, one constant value of bearing capacity is obtained when a certain percentage of reinforcement is exceeded, which can lead to certain errors in the design of such elements. The article evaluates the errors in determining the bearing capacity of overreinforced concrete bending elements using various calculation methods for different classes of concrete and reinforcement. The article considers in detail the following calculation methods: a nonlinear deformation model with an extreme criterion; a non-linear deformation model with constant boundary values of deformations of compressed concrete; a method of design resistance of reinforced concrete; engineering methods based on simplified deformation diagrams. The assessment was carried out on the basis of the design resistance of reinforced concrete under bending, which makes it possible to assess not individual elements, but a whole range of elements with the same reinforcement. The article shows the possibility of using the proposed engineering methods to calculate overreinforced normal cross-sections of reinforced concrete bending elements. below.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 229.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 299.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 299.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. MacGregor JG (2005) Reinforced concrete: mechanics and design [Electronic resource]/MacGregor JG, Wight JK. Upper Saddle River, New Jersey, 1132 p. (2005)

    Google Scholar 

  2. McCormac JC (2006) Design of reinforced concrete/McCormac JC, Nelson JK. Wiley, Hoboken, NJ, 725 p. (2006)

    Google Scholar 

  3. EN 1992-1 (1993) Eurokode- 2. Design of concrete structure. Part 1, General rules and rules for buildings, GEN

    Google Scholar 

  4. Posobie po proektirovaniyu betonnih i zhelezobetonnih konstrukcii iz tyazhelih i legkih betonov bez predvaritelnogo napryazheniya armaturi (k SNiP 2.03.01–84)/CNIIpromzdanii Gosstroya SSSR, NIIZHB Gosstroya SSSR. M.: CITP Gosstroya SSSR,192 s (1989)

    Google Scholar 

  5. AS 3600-2001 (2001) Australian standard concrete structures, (1971), p 78

    Google Scholar 

  6. DBNV.2.6-98:2009 (2011) Konstruktsiyi budynkiv i sporud. Betonni ta zalizobetonni konstruktsiyi. Osnovni polozhennya, Minrehionbud, Kyiv

    Google Scholar 

  7. Kochkarev D (2017) Calculation methodology of reinforced concrete elements based on calculated resistance of reinforced concrete/Kochkarev D,Galinska T (2017) Matec Web of Conferences 116, 02020, Materials science, engineering and chemistry, Transbud–2017, Kharkiv, Ukraine, April 19–21, 2017

    Google Scholar 

  8. Kochkarov DV (2015) Neliniinyi opir zalizobetonnykh elementiv i konstruktsii sylovym vplyvam: Monohrafiia. Rivne: O. Zen, 384 s.:Il.: 139; tabl. 48; bibliohr: 326. ISBN 978-617-601-125-5

    Google Scholar 

  9. Pavlikov AM (2007) Neliniina model napruzheno-deformovanoho stanu kosozavantazhenykh zalizobetonnykh elementiv u za krytychnii stadii. Monohrafiia. PoltNTU im. Yuriia Kondratiuka, Poltava, 259 s

    Google Scholar 

  10. Zotsenko NL, Vinnikov YL (2016) Long-term settlement of buildings erected on driven cast-in-situ piles in loess soil. Soil Mech Found Eng 53(3):189–195. https://doi.org/10.1007/s11204-016-9384-6

    Article  Google Scholar 

  11. Kochkarev D, Azizov T, Azizova A, Galinska T (2021) Designing of standard cross sections of composite bending reinforced concrete elements by the method of design resistance of reinforced concrete https://doi.org/10.1007/978-3-030-57340-9_25

  12. Kochkarev D, Azizov T, Galinska T (2020) Design of effective statically indeterminate reinforced concrete beams. https://doi.org/10.1007/978-3-030-42939-3_10

  13. Azizov TN, Kochkarev DV, Galinska TA (2019) New design concepts for strengthening of continuous reinforced-concrete beams. Paper presented at the IOP Conference Series: Materials Science and Engineering, vol 708, no 1. https://doi.org/10.1088/1757-899X/708/1/012040

  14. Piskunov VG, Goryk AV, Cherednikov VN (2000) Modeling of transverse shears of piecewise homogeneous composite bars using an iterative process with account of tangential loads. 1. construction of a model. Mech Compos Mater 36(4):287–296. https://doi.org/10.1007/BF02262807

  15. Loburets AT, Naumovets AG, Senenko NB, Vedula YS (1997) Surface diffusion and phase transitions in strontium overlayers on W(112). Zeitschrift Fur Physikalische Chemie 202(1–2):75–85. https://doi.org/10.1524/zpch.1997.202.part_1_2.075

    Article  Google Scholar 

  16. Yakovkin IN, Katrich GA, Loburets AT, Vedula YS, Naumovets AG (1998) Alkaline-earth overlayers on furrowed transition metal surfaces: an example of tailoring the surface properties. Prog Surf Sci 59(1–4):355–365. https://doi.org/10.1016/S0079-6816(98)00061-6

    Article  Google Scholar 

  17. Storozhenko L, Butsky V, Taranovsky O (1998) Stability of compressed steel concrete composite tubular columns with centrifuged cores. J Constr Steel Res 46(1–3):484. https://doi.org/10.1016/S0143-974X(98)80098-9

    Article  Google Scholar 

  18. Piskunov VG, Gorik AV, Cherednikov VN (2000) Modeling of transverse shears of piecewise homogeneous composite bars using an iterative process with account of tangential loads 2. resolving equations and results. Mech Comp Mater 36(6):445–452. https://doi.org/10.1023/A:1006798314569

  19. Kochkarev D, Azizov T, Galinska T (2018) Bending deflection reinforced concrete elements determination. Paper presented at the MATEC web of conferences, vol 230. https://doi.org/10.1051/matecconf/201823002012

  20. Pavlikov A, Kochkarev D, Harkava O (2019) Calculation of reinforced concrete members strength by new concept. Paper presented at the proceedings of the fib symposium 2019: concrete—innovations in materials, design and structures, pp 820–827

    Google Scholar 

  21. Pichugin SF (2018) Reliability estimation of industrial building structures. Mag Civil Eng 83(7):24–37. https://doi.org/10.18720/MCE.83.3

    Article  Google Scholar 

  22. Yakovlev SV, Valuiskaya OA (2001) Optimization of linear functions at the vertices of a permutation polyhedron with additional linear constraints. Ukr Math J 53(9):1535–1545. https://doi.org/10.1023/A:1014374926840

    Article  Google Scholar 

  23. Naumovets AG, Paliy MV, Vedula YS, Loburets AT, Senenko NB (1995) Diffusion of lithium and strontium on mo(112). Prog Surf Sci 48(1–4):59–70. https://doi.org/10.1016/0079-6816(95)93415-4

    Article  Google Scholar 

  24. Cherniha R, Pliukhin O (2013) New conditional symmetries and exact solutions of reaction-diffusion-convection equations with exponential nonlinearities. J Math Anal Appl 403(1):23–37. https://doi.org/10.1016/j.jmaa.2013.02.010

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Tatiana Galinska .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Kochkarev, D., Kosior-Kazberuk, M., Azizova, A., Pavlikov, A., Galinska, T. (2023). Calculation of Overreinforced Concrete Bending Elements Based on Modern Models for Deformation of Materials. In: Onyshchenko, V., Mammadova, G., Sivitska, S., Gasimov, A. (eds) Proceedings of the 4th International Conference on Building Innovations. ICBI 2022. Lecture Notes in Civil Engineering, vol 299. Springer, Cham. https://doi.org/10.1007/978-3-031-17385-1_27

Download citation

  • DOI: https://doi.org/10.1007/978-3-031-17385-1_27

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-17384-4

  • Online ISBN: 978-3-031-17385-1

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics