Skip to main content
SpringerLink
Log in

Reinforced Concrete Shallow Shell of Negative Double Gaussian Curvature Built on the Basis of a Four-Lobed Hyperbolic Paraboloid

  • Conference paper
  • First Online:
Proceedings of MPCPE 2021

Part of the book series: Lecture Notes in Civil Engineering ((LNCE,volume 182))

Abstract

The stress–strain state of a flat reinforced concrete shell of negative double Gaussian curvature is numerically investigated. The studies were carried out on a shell built on the basis of a four-lobed hyperbolic paraboloid with a plan view of 80.0 × 80.0 m. It was experimentally proved that the strength of the shell is provided with the following reinforcement: two meshes made of B500 class reinforcement over the shell area, A500 class reinforcement at a distance of 20 m from shell angle—at the corners of the gipar petals, with A500 class rods in the contour edges. The non-displacement of the corners of the gipar is ensured by tightening from the bundles of double lay reinforcing ropes of the LK-RO type of the structure. The deflection of the shell is within the permissible value. The high efficiency of the calculation by the finite element method for evaluating the criteria of the bearing capacity of the shells up to their destruction has been proved.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
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. Hartung B, Krebs A (2004) An extension of the technical bending theory | Erweiterung der Technischen Biegelehre - Teil 1: Aufstellung der Bedingungsgleichungen mit Überprüfung der Lösbarkeit. Beton- und Stahlbetonbau 99:378–387. https://doi.org/10.1002/best.200490045

    Article  Google Scholar 

  2. Rimshin V, Truntov P (2020) Calculation and strengthening of reinforced concrete floor slab by composite materials. https://doi.org/10.1007/978-3-030-37919-3_43

  3. Telichenko V, Rimshin V, Kuzina E (2018) Methods for calculating the reinforcement of concrete slabs with carbon composite materials based on the finite element model. In: MATEC web of conferences. https://doi.org/10.1051/matecconf/201825104061

  4. Sprague TS (2013) “Beauty, versatility, practicality”: The rise of hyperbolic paraboloids in post-war America (1950–1962). Constr Hist 28:165–184

    Google Scholar 

  5. Lukin MV, Popov MV, Lisyatnikov MS (2020) Short-term and Long-Term Deformations of the Lightweight Concrete. In: IOP conference series: materials science and engineering. https://doi.org/10.1088/1757-899X/753/3/032071

  6. Wang W, Teng S (2007) Modeling cracking in shell-type reinforced concrete structures. J Eng Mech 133:677–687. https://doi.org/10.1061/(ASCE)0733-9399(2007)133:6(677)

    Article  Google Scholar 

  7. Wang W, Teng S (2008) Finite-element analysis of reinforced concrete flat plate structures by layered shell element. J Struct Eng 134:1862–1872. https://doi.org/10.1061/(ASCE)0733-9445(2008)134:12(1862)

    Article  Google Scholar 

  8. Chapman GP, Roeder AR (1970) Effects of sea-shells in concrete aggregates

    Google Scholar 

  9. Lukin M, Prusov E, Roshchina S, Karelina M, Vatin N (2021) Multi-Span composite timber beams with rational steel reinforcements. Buildings 11:1–12. https://doi.org/10.3390/buildings11020046

    Article  Google Scholar 

  10. Lukin MV, Roshchina SI, Gribanov AS, Naychuk AY (2020) Stress-strain state of wooden beams with external reinforcement. In: IOP conference series: materials science and engineering. https://doi.org/10.1088/1757-899X/896/1/012066

  11. Merkulov S, Rimshin V, Akimov E, Kurbatov V, Roschina S (2020) Regulatory support for the use of composite rod reinforcement in concrete structures. In: IOP conference series: materials science and engineering. https://doi.org/10.1088/1757-899X/896/1/012022

  12. Lisyatnikov MS, Shishov II, Sergeev MS, Hisham E (2020) Precast monolithic coating of an industrial building based on variable-height beam-slabs. In: IOP conference series: materials science and engineering. https://doi.org/10.1088/1757-899X/896/1/012064

  13. Roschina SI, Lukin MV, Lisyatnikov MS, Sergeyev MS (2017) Reconstruction of coating by a single-stage adjustment of a lind-fitting factory in the city of vyazniki

    Google Scholar 

  14. Noh H-C, Park T (2011) Response variability of laminate composite plates due to spatially random material parameter. Comput Methods Appl Mech Eng 200:2397–2406. https://doi.org/10.1016/j.cma.2011.03.020

    Article  MathSciNet  MATH  Google Scholar 

  15. Noh HC (2005) Ultimate strength of large scale reinforced concrete thin shell structures. Thin-Walled Struct 43:1418–1443. https://doi.org/10.1016/j.tws.2005.04.004

    Article  Google Scholar 

  16. De Bolster E, Cuypers H, Van Itterbeeck P, Wastiels J, De Wilde WP (2009) Use of hypar-shell structures with textile reinforced cement matrix composites in lightweight constructions. Compos Sci Technol 69:1341–1347. https://doi.org/10.1016/j.compscitech.2008.10.028

    Article  Google Scholar 

  17. Scholzen A, Chudoba R, Hegger J (2015) Thin-walled shell structures made of textile-reinforced concrete: part I: structural design and construction. Struct Concr 16:106–114. https://doi.org/10.1002/suco.201300071

    Article  Google Scholar 

  18. Lisyatnikov MS, Roshchina SI, Chukhlanov VY, Ivaniuk AM (2020) Repair compositions based on methyl methacrylate modified with polyphenylsiloxane resin for concrete and reinforced concrete structures. In: IOP conference series: materials science and engineering. https://doi.org/10.1088/1757-899X/896/1/012113

  19. Min CS (1997) Ultimate behavior of RC hyperbolic paraboloid saddle shell. Struct Eng Mech 5:507–521. https://doi.org/10.12989/sem.1997.5.5.507

  20. Nagruzova L, Saznov K, Aytbu KK (2019) Thermal efficient panels on a wooden frame for quickly erectable low-rise buildings. In: E3S web of conferences. https://doi.org/10.1051/e3sconf/201911001023

  21. Nagruzova LP, Shibaeva GN, Saznov KV, Kubanychbek Kyzy A (2019) Technology and manufacture of reinforced concrete structures with application of silica fume for multi-storey house-building in the Republic of Khakassia. In: IOP conference series: materials science and engineering. https://doi.org/10.1088/1757-899X/597/1/012029

  22. Ramasubramani R, Gunasekaran K (2021) Sustainable alternate materials for concrete production from renewable source and waste. Sustainability 13:1–33. https://doi.org/10.3390/su13031204

    Article  Google Scholar 

  23. Gunasekaran K, Ramasubramani R, Annadurai R, Prakash Chandar S (2014) Study on reinforced lightweight coconut shell concrete beam behavior under torsion. Mater Des 57:374–382. https://doi.org/10.1016/j.matdes.2013.12.058

    Article  Google Scholar 

  24. Kabir AF, Scordelis AC (1979) Analysis of RC shells for time dependent effects. Bull Int Assoc Shell Spat Struct 20–1:3–13

    Google Scholar 

  25. Alexander SDB, Simmonds SH (1992) Punching shear tests of concrete slab-column joints containing fiber reinforcement. ACI Struct J 89:425–432

    Google Scholar 

  26. Radwańska M, Waszczyszyn Z (1995) Buckling analysis of a cooling tower shell with measured and theoretically-modelled imperfections. Thin-Walled Struct 23:107–121. https://doi.org/10.1016/0263-8231(95)00007-Z

    Article  Google Scholar 

  27. Lourenęo PB, Figueiras JA (1995) Solution for the design of reinforced concrete plates and shells. J Struct Eng (United States) 121:815–823. https://doi.org/10.1061/(ASCE)0733-9445(1995)121:5(815)

    Article  Google Scholar 

  28. Gunnin BL, Rad FN, Furlong RW (1977) A general nonlinear analysis of concrete structures and comparison with frame tests. Comput Struct 7:257–265. https://doi.org/10.1016/0045-7949(77)90044-X

    Article  Google Scholar 

  29. Vasiliev AS, Plekhanova EA (2020) To the multi-hollow reinforced concrete floor panels’ calculation according to the two groups of the limit states. In: IOP conference series: materials science and engineering. https://doi.org/10.1088/1757-899X/913/2/022033

  30. Trekin NN, Kodysh EN, Kelasiev NG, Shmakov SD, Chaganov AB, Terehov IA (2020) The improvement of protection methods from the progressive collapse of one-storey industrial buildings. J Phys: Conf Ser. https://doi.org/10.1088/1742-6596/1425/1/012050

    Article  Google Scholar 

  31. Khamidulina D, Rimshin V, Varlamov A, Nekrasov S (2019) Power and energy characteristics of concrete. In: E3S web of conferences. https://doi.org/10.1051/e3sconf/201913503057

  32. Lukin MV, Roshchina SI, Smirnov EA, Shunqi M (2020) Strengthening of the operated wooden floor beams with external rigid reinforcement. In: IOP conference series: materials science and engineering. https://doi.org/10.1088/1757-899X/896/1/012065

  33. Roshchina S, Sergeev M, Lukin M, Strekalkin A (2018) Reconstruction of fixed fertilizer folders in the Vladimir region. In: IOP conference series: materials science and engineering. https://doi.org/10.1088/1757-899X/463/4/042011

  34. Roschina SI, Lisyatnikov MS, Lukin MV, Popova MV (2018) Technology of strengthening the supporting zones of the glued-wood beaming structure with the application of nanomodified prepregs. https://doi.org/10.4028/www.scientific.net/MSF.931.226

  35. Lin Y, Chen Z, Guan D, Guo Z (2021) Experimental study on interior precast concrete beam-column connections with UHPC core shells. Structures 32:1103–1114. https://doi.org/10.1016/j.istruc.2021.03.087

    Article  Google Scholar 

  36. Aleksiievets VI, Aleksiievets II, Ivaniuk AM, Roshchina SI (2020) Load-carrying capacity of bolted joints of timber structures under static loading. In: IOP conference series: materials science and engineering. https://doi.org/10.1088/1757-899X/896/1/012043

  37. Pochinok V, Tamov M, Greshkina E (2020) Nonlinear shear analysis of I-shaped beams with arbitrary inclination angles of shear reinforcement. In: IOP conference series: materials science and engineering. https://doi.org/10.1088/1757-899X/869/5/052057

  38. Karpenko NI, Rimshin VI, Eryshev VA, Shubin LI (2020) Deformation models of concrete strength calculation in the edition of Russian and foreign norms. IOP Conf Ser Mater Sci Eng. https://doi.org/10.1088/1757-899X/753/5/052043

    Article  Google Scholar 

  39. Mercedes L, Escrig C, Bernat-Masó E, Gil L (2021) Analytical approach and numerical simulation of reinforced concrete beams strengthened with different from systems. Materials (Basel) 14. https://doi.org/10.3390/ma14081857

  40. Fomin SL, Bondarenko YV, Butenko SV, Plakhotnikova IA (2019) DBN Concrete and reinforced concrete structures intended to operate under elevated and high temperatures. Conf Ser Mater Sci Eng. https://doi.org/10.1088/1757-899X/708/1/012047

  41. Li Z-X, Zhong B, Shi Y, Ding Y, Hao Y (2019) A computationally efficient numerical model for progressive collapse analysis of reinforced concrete structures. Int J Prot Struct 10:330–358. https://doi.org/10.1177/2041419619854768

    Article  Google Scholar 

  42. Fomin S, Izbash Y, Plakhotnikova I, Butenko S, Shemet R (2017) Improvement of the mathematical model of the diagram of deformation of the compressed composite steel and concrete structures. In: MATEC web of conferences. https://doi.org/10.1051/matecconf/201711602012.IOP

  43. Bondarenko Y, Spirande K, Iakymenko M, Mol’Skyj M, Oreshkin D (2017) Study of the stress-strain state of compressed concrete elements with composite reinforcement. In: MATEC web of conferences. https://doi.org/10.1051/matecconf/201711602008

  44. Fu C, Zhu Y, Tong D (2021) Stiffness assessment of cracked reinforced concrete beams based on a fictitious crack model. KSCE J Civ Eng 25:516–528. https://doi.org/10.1007/s12205-020-2056-0

    Article  Google Scholar 

  45. Varlamov A, Kostyuchenko Y, Rimshin V, Kurbatov V (2020) Diagrams of concrete behavior over time. In: IOP conference series: materials science and engineering. https://doi.org/10.1088/1757-899X/896/1/012085

Download references

Author information

Authors and Affiliations

  1. Vladimir State University Named After Alexander and Nikolay Stoletovs, 87 Gorky St., Vladimir, 600005, Russian Federation

    Mikhail Lukin, Marina Popova & Dmitry Reva

  2. Tashkent Institute of Finance, Amir Temur avenue, 60A, Tashkent, Uzbekistan

    Rustamkhan Abdikarimov

Authors
  1. Mikhail Lukin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Marina Popova
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Dmitry Reva
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Rustamkhan Abdikarimov
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Peter the Great St. Petersburg Polytechnic University, Saint-Petersburg, Russia

    Nikolai Vatin

  2. Department of Building Constructions, Vladimir State University, Vladimir, Russia

    Svetlana Roshchina

  3. Faculty of Civil Engineering, Riga Technical University, Riga, Latvia

    Dmitrijs Serdjuks

Rights and permissions

Reprints and permissions

Copyright information

© 2022 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

Lukin, M., Popova, M., Reva, D., Abdikarimov, R. (2022). Reinforced Concrete Shallow Shell of Negative Double Gaussian Curvature Built on the Basis of a Four-Lobed Hyperbolic Paraboloid. In: Vatin, N., Roshchina, S., Serdjuks, D. (eds) Proceedings of MPCPE 2021. Lecture Notes in Civil Engineering, vol 182. Springer, Cham. https://doi.org/10.1007/978-3-030-85236-8_49

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-85236-8_49

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-85235-1

  • Online ISBN: 978-3-030-85236-8

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation