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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Streletskii NS (1959) Rabota szhatykh stoek. Gosudarstvennoe izdatelstvo literatury po stroitelstvu, arkhitekture i stroitelnym materialam Moskva
Perelmuter AV, Slivker VI (2010) Ustoichivost ravnovesiia konstruktsii i rodstvennye problemy. SKAD SOFT, Moskva
Timoshenko SP, Gere JM (2009) Theory of Elastic Stability. Dover Publications, New York (2009)
Bazant ZP, Cedolin SL (2010) Stability of Structures: Elastic, Inelastic, Fracture and Damage Theories. World Scientific Publishing Company
Alfutov NA (2009) Stability of Elastic Structures. Springer, Berlin
Qiusheng L, Hong C, Guiqing L (1995) Stability analysis of bars with varying cross-section. Int J Solids Struct 32(21):3217–3228
Nikolic A, Salinic S (2017) Buckling analysis of non-prismatic columns: a rigid multibody approach. Eng Struct 143:511–521
Li QS (2009) Exact solutions for the generalized Euler’s problem. J Appl Mech 76(4):1015–1024
Elishakoff I (2001) Inverse buckling problem for inhomogeneous columns. Int J Solids Struct 38:457–464
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
DBN V.2.6–198:2014 Stalevi Konstruktsii. Normy Proektuvannia. Minrehionbud, Kyiv
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
Makhinko N (2019) Imovirnisnyi rozrakhunok koefitsiientu krytychnoho faktoru dlia tsentralno stysnutykh elementiv. Zbirnyk Naukovykh Prats UkrDUZT 183:80–86
GOST 26020–83 Hot-rolled steel I-beam with parallel flange edges. Dimensions. Izdatelstvo standartov, Moskva (1983)
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
Pichugin S, Severin V (2004) Reliability of structures under snow load in ukraine. Snow engineering V, pp 67–72
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
Pavlenko A, Koshlak H (2015) Design of processes of thermal bloating of silicates. Metallurg Mining Ind 7(1):118–122
Pichugin SF (2018) Reliability estimation of industrial building structures. Mag Civil Eng 83(7):24–37.https://doi.org/10.18720/MCE.83.3
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
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)