Stress-strain state cylinder-plate-cable-stayed roof buildings (structures) with various forms of external support contour

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Relevance. A new wave-like combined (complex) coating design for large-span buildings - a cylinder-plate-cable-stayed roof, combining three types of structures: a cylindrical shell of zero Gaussian curvature, plate and cable-stayed (hanging) roofs are presented. This combination of structures and materials for roof large areas was not chosen by chance. The cable works in tension with its entire cross section only, and the cylindrical shell and plate work in two (longitudinal and transverse) planes. In combination with external influence, they create the necessary design strength, taking into account, at the same time, a rational choice of materials (steel and reinforced concrete). New architectural and constructive solutions of a large-span building with a cylinder-plate-cable-stayed roof are proposed taking into account the different geometric shapes of the external support contour in a form of a semicircle, semiellipse, etc. The aim of the work is to analyze the influence of the external support contour (semicircle, semiellipse, and other forms) on the spatial work of internal forces in the combined cylinder-plate-cable-stayed roof of a large-span building. Methods. Results of static numerical analysis of spatial models of large-span buildings with different types of external supporting contour in the centralized roofs were made in the FEMAP with NX NAS-TRAN software package. This complex belongs to the CAE - class which implements the finite element method (FEM) and allows on the basis of the physical and geometric nonlinearity of the deformation of structures. Results. Calculation study carried out comparative numerical analysis of the stress-strain state of a complex cylinder-plate-cable-stayed roof with different outlines of the support contours on the effect of vertical loads. This determines their rational choice given due consideration to the total cost and useful area of the building. The results of calculating large-span buildings with cylinder-plate-cable-stayed roofs for horizontal (wind) load, on the basis of determination of aerodynamic coefficients, are supposed to be published in the next article.

About the authors

Elvira R. Kuzhakhmetova

Immanuel Kant Baltic Federal University

Author for correspondence.
14 Aleksandra Nevskogo St, Kaliningrad, 236016, Russian Federation

postgraduate student, engineer, senior lecturer of Institute of Engineering and Technology


  1. Baikov V.N., Sigalov E.E. Zhelezobetonnyye konstruktsii [Reinforced concrete structures]. Moscow: Stroiizdat Publ.; 1991. (In Russ.)
  2. Zimin S.S., Bespalov V.V., Kokotkova O.D. Vault structures of historical buildings. Construction of Unique Buildings and Structures. 2015;2(29):57–72. (In Russ.)
  3. Lipnizkiy M.E. Kupola. Raschet i proektirovanie [Domes. Calculation and Design]. Leningrad: Stroyizdat Publ.; 1973. (In Russ.)
  4. Gokhar’-Harmadaryan I.G. Bol’sheproletnye kupol’nye zdaniya [Wide-Span Dome Buildings]. Мoscow, Stroyizdat Publ.; 1978. (In Russ.)
  5. Vinogradov G.G. Raschot stroitel'nykh prostranstvennykh konstruktsiy [Calculation of building spatial structures]. Leningrad, Stroiizdat Publ.; 1990. (In Russ.)
  6. Trushchev A.G. Prostranstvennyye metallicheskiye konstruktsii [Spatial metal structures]: textbook for universities. Moscow, Stroiizdat Publ.; 1982. (In Russ.)
  7. Kirsanov N.M. Visyachiye i vantovyye konstruktsii [Hanging and cable structures]: textbook for universities. Moscow, Stroiizdat Publ.; 1981. (In Russ.)
  8. Dmitriev L.G., Kasilov A.V. Vantovyye pokrytiya. Raschet i konstruirovaniye [Cable-stayed coverings. Calculation and design]. 2nd ed., revised and enlarged. Kiev, Budivelnik Publ.; 1974. (In Russ.)
  9. Krivoshapko S.N. Suspention cable structures and roof of erections. Construction of Unique Buildings and Structures. 2015;7(34):51–70. (In Russ.)
  10. Sapozhnikov A.I. Zhizn' zdaniy v zemnoy stikhii [The life of buildings in the earth element]. Germany, LAP Lamber Academic Publishing; 2014. (In Russ.)
  11. Krivoshapko S.N. Cable-stayed structures. Structural Mechanics of Engineering Constructions and Buildings. 2016; (1):9–22. (In Russ.)
  12. Park K., Park M., Shin S. Design of large space cable roofs with retractable systems to open and close. International Journal of Latest Trends in Engineering and Technology. 2017;8(4–1):197–203.
  13. Grunwalda G., Hermekingb T., Prangc T. Kinetic Roof Structure: Msheireb Heart of Doha. Procedia Engineering. 2016;(155):289–296. doi: 10.1016/j.proeng.2016.08.031.
  14. Kuzhakhmetova E.R., Sapozhnikov A.I. Architectural expressiveness and physiological expediency of buildings with curvilinear surfaces. Building materials, equipment, technologies of the 21st century. 2012;11(166):42–45. (In Russ.)
  15. Kuzhakhmetova E.R. Methods of calculating cables and cable structures. Bulletin of BSTU named after V.G. Shukhov. 2019;(2):39–48. doi: 10.12737/article_5c 73fc07ba7858.43737360. (In Russ.)
  16. Kuzhakhmetova E.R. Comparative analysis of the work of the guys with different geometric characteristics under vertical loading. News of Kaliningrad State Technical University. 2017;(45):235–244. (In Russ.)
  17. Kuzhakhmetova E.R. Constructive solutions of guys location in cylindrical-slab-guy covering of building (construction). Bulletin of BSTU named after V.G. Shukhov. 2019;(5):77–89. doi: 10.34031/article_5ce292ca24bc 23.91006970. (In Russ).
  18. SP 16.13330.2011. Stal'nyye konstruktsii. Aktualizirovannaya redaktsiya SNiP II-23-81* [Steel construction. Updated edition of SNiP II-23-81*]. Moscow; 2011. (In Russ.)
  19. Kuzhakhmetova E.R. Calculation of the cables with regard to the geometric and physical nonlinearity. News of Kaliningrad State Technical University. 2019;(55):252–266. (In Russ.)
  20. SP 63.13330.2011. Svod pravil. Betonnye i zhelezobetonnye konstrukcii [Set of rules. Concrete and reinforced concrete structures]. SNiP 52-01-2003 rev., no. 1. Moscow; 2011. (In Russ.)
  21. GOST 27772-2015. Prokat dlya stroitel'nykh stal'nykh konstruktsiy. Obshchiye tekhnicheskiye usloviya [Rolled products for structural steel constructions. General specifications]. Moscow, Standartinform Publ.; 2016. (In Russ.)
  22. Kuzhakhmetova E.R., Sutyrin V.I. Metallicheskaya opora dlya krepleniya nerazreznogo vanta v visyachikh pokrytiyakh zdaniy (sooruzheniy) [Metal support for fixation of non-cjntinuous guy in pendant coating of buildings (structures)]. Patent RUS No. 2705689. Bul. No. 32. 2019. https:// (In Russ.)
  23. Rychkov S.P. Modelirovaniye konstruktsiy v srede FEMAP with NX NASTRAN [Structural modeling in FEMAP with NX NASTRAN]. Moscow: DMK Press; 2013. (In Russ.)
  24. Shimkovich D.G. Raschet konstruktsiy v MSC/ NASTRAN for Windows [Structural Analysis in MSC/NASTRAN for Windows]. Moscow, DMK Press; 2003. (Series “Design”). (In Russ.)
  25. Qing Ma, Makoto Ohsaki, Zhihua Chen, Xiangyu Yan. Step-by-step unbalanced force iteration method for cable-strut structure with irregular shape. Engineering Structures. 2018;(177):331–334. 09.081
  26. Thai H.-T., Kim S.-E. Nonlinear static and dynamic analysis of cable structures. Finite Elements in Analysis and Design. 2011;(47):237–246. j.finel.2010.10.005
  27. Kmet S., Mojdis M. Time-dependent analysis of cable domes using a modified dynamic relaxation method and creep theory. Computer and Structures. 2013;(125):11–22.
  28. Zhou B., Accorsi M.L., Leonard J.W. Finite element formulation for modeling sliding cable elements. Computer and Structures. 2004;82(2–3):271–280. https://
  29. Guo J., Jiang J. An algorithm for calculating the feasible pre-stress of cable-struts structure. Engineering Structures. 2016;(118):228–239. j.engstruct.2016.03.058
  30. Mostafa Salehi Ahmad Abad, Ahmad Shooshtari, Vahab Esmaeili, Alireza Naghavi Riabi Nonlinear analysis of cable structures under general loadings. Finite Elements in Analysis and Design. 2013;(73):11–19. 10.1016/j.finel.2013.05.002
  31. SP 17.13330.2017. Krovli. Aktualizirovannaya redaktsiya SNiP II-26-76 [The roofs. SNiP II-26-76]. Moscow; 2017. (In Russ.)
  32. SP 20.13330.2016. Nagruzki i vozdeystviya. Aktualizirovannaya redaktsiya SNiP 2.01.07-85* [Loads and impacts. SNiP 2.01.07-85*]. Moscow; 2016. (In Russ.)
  33. Polák M., Plachý T. Determination of Forces in Roof Cables at Administrative Center Amazon Court. Procedia Engineering. 2012;(48):578–582. j.proeng.2012.09.556
  34. Kmet S., Tomko M., Soltys R., Rovnak M., Demjan I. Complex failure analysis of a cable-roofed stadium structure based on diagnostics and tests. Engineering Failure Analysis. 2019;(103):443–461. j.engfailanal.2019.04.051
  35. Kuzhakhmetova E.R. Deformation of guys under different loading conditions. News of Kaliningrad State Technical University. 2019;(52):154–168. (In Russ.)
  36. Kuzhakhmetova E.R. Deformation of guys under different loading conditions. Advanced technologies, machines and mechanisms in mechanical engineering and construction: Materials of the VI International Baltic Sea Forum 2018 (Kaliningrad, September 3–6, 2018). 2018;6: 129–140. (In Russ.)
  37. Sutyrin V.I. Economical methods for solving finite element systems modeling complex structures. News of universities. Engineering. 2000;(5–6):47–51. (In Russ.)
  38. Sutyrin V.I. Opportunities for increasing the efficiency of the finite element method in the design of structures. Sudostroyeniye. 2003;(6):9–13. (In Russ.)



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