Skip to main content

Analytical Procedure for Design of Centrally Compressed Bars

  • Conference paper
  • First Online:
Proceedings of the 3rd International Conference on Building Innovations (ICBI 2020)

Abstract

The article is devoted to the study of stability problems of centrally compressed bars. The difficulties of the classical solution of this problem are highlighted. In analytical form, we propose a simplified dependence for calculating the stress reduction factor. Using the author’s approach shows good agreement between the results received and the calculation results according to the normative methodology for a wide range of slenderness. An algorithm for determining the dimensions of the cross sections of steel elements loaded with a central force is also constructed. At the same time, solutions presented through the Lambert transcendental function are used to test rigidity. The convenience and advantages of using this algorithm are indicated. A practical example of the column sizing with the subsequent verification of the results according to current standards is given. The example of calculation shows the simplicity of the calculation according to the proposed algorithm and the full compliance of the result with the requirements of regulatory documents.

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 219.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 279.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 279.99
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. Streletskii NS (1959) Rabota szhatykh stoek. Gosudarstvennoe izdatelstvo literatury po stroitelstvu, arkhitekture i stroitelnym materialam Moskva

    Google Scholar 

  2. Perelmuter AV, Slivker VI (2010) Ustoichivost ravnovesiia konstruktsii i rodstvennye problemy. SKAD SOFT, Moskva

    Google Scholar 

  3. Timoshenko SP, Gere JM (2009) Theory of Elastic Stability. Dover Publications, New York (2009)

    Google Scholar 

  4. Bazant ZP, Cedolin SL (2010) Stability of Structures: Elastic, Inelastic, Fracture and Damage Theories. World Scientific Publishing Company

    Google Scholar 

  5. Alfutov NA (2009) Stability of Elastic Structures. Springer, Berlin

    Google Scholar 

  6. Qiusheng L, Hong C, Guiqing L (1995) Stability analysis of bars with varying cross-section. Int J Solids Struct 32(21):3217–3228

    Google Scholar 

  7. Nikolic A, Salinic S (2017) Buckling analysis of non-prismatic columns: a rigid multibody approach. Eng Struct 143:511–521

    Google Scholar 

  8. Li QS (2009) Exact solutions for the generalized Euler’s problem. J Appl Mech 76(4):1015–1024

    Google Scholar 

  9. Elishakoff I (2001) Inverse buckling problem for inhomogeneous columns. Int J Solids Struct 38:457–464

    Google Scholar 

  10. Otrosh Y, Kovalov A, Semkiv O, Rudeshko I, Diven V (2018) Methodology remaining lifetime determination of the building structures. In: Matec Web of Conferences, vol 230, p 02023

    Google Scholar 

  11. DBN V.2.6–198:2014 Stalevi Konstruktsii. Normy Proektuvannia. Minrehionbud, Kyiv

    Google Scholar 

  12. Makhinko N (2018) Stress-strain state of the storage silos under the action of the asymmetric load. In: Matec Web of Conference, vol 230, p 02018

    Google Scholar 

  13. Makhinko N (2019) Imovirnisnyi rozrakhunok koefitsiientu krytychnoho faktoru dlia tsentralno stysnutykh elementiv. Zbirnyk Naukovykh Prats UkrDUZT 183:80–86

    Google Scholar 

  14. GOST 26020–83 Hot-rolled steel I-beam with parallel flange edges. Dimensions. Izdatelstvo standartov, Moskva (1983)

    Google Scholar 

  15. Pichugin S (2017) Probabilistic description of ground snow loads for ukraine. Snow engineering 2000: Recent advances and developments, pp 251–256. https://doi.org/10.1201/9780203739532

  16. Pichugin S, Severin V (2004) Reliability of structures under snow load in ukraine. Snow engineering V, pp 67–72

    Google Scholar 

  17. Pichugin SF, Makhin’Ko AV (2009) Calculation of the reliability of steel underground pipelines. Strength Mater 41(5):541–547.https://doi.org/10.1007/s11223-009-9153-0

  18. Pavlenko A, Koshlak H (2015) Design of processes of thermal bloating of silicates. Metallurg Mining Ind 7(1):118–122

    Google Scholar 

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

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

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

Makhinko, A., Makhinko, N., Vorontsov, O. (2022). Analytical Procedure for Design of Centrally Compressed Bars. In: Onyshchenko, V., Mammadova, G., Sivitska, S., Gasimov, A. (eds) Proceedings of the 3rd International Conference on Building Innovations. ICBI 2020. Lecture Notes in Civil Engineering, vol 181. Springer, Cham. https://doi.org/10.1007/978-3-030-85043-2_24

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-85043-2_24

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-85042-5

  • Online ISBN: 978-3-030-85043-2

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics