Variability of strength and stiffness assessment for non-profile beam structures
https://doi.org/10.37538/2224-9494-2024-2(41)-79-85
EDN: MHYGBD
Abstract
Introduction. Traditional ways to increase the structural strength and stiffness of beams are now almost exhausted, and optimization of production and operation technologies is mostly based on the use of new materials and increasing their reliability as bearing elements of a complex geometric profile. Bearing elements of building structures operate under high loads and, even despite their predominantly static nature, experience a complex volumetric stress and strain state, which can scarcely ever be confirmed empirically and statistically.
Aim. To propose an approach to assessing the strength and stiffness of beam structures operating under conditions of transverse bending of a complex geometric profile.
Materials and methods. Classical energy methods, including Castigliano, Maxwell–Mohr and Vereshchagin methods (moment area method), have been used to assess the strength and stiffness of non-profile beam structures, initial parameters, differential equations of the deflection curve.
Results. The similarity parameters (fitting criteria) of Mises–Hencky and Zhurkov reflect the behavior of a brittle or plastic beam material reasonably well. These characteristics are proposed to be combined in the Arrhenius–Zhurkov durability functions.
Conclusions. The dependencies given in the calculations can be recommended for improving the flexural static and fatigue strength, as well as the stiffness of the bearing elements of building structures.
About the Author
A. V. KulaginRussian Federation
Andrey V. Kulagin, Cand. Sci. (Engineering), Associate Professor of the Department of Protection in Emergency
Situations and Risk Management, Institute of Civil Protection
Universitetskaya str., 1, Izhevsk, 426034, Russian Federation
e-mail: rekfuby2@rambler.ru
References
1. <i>Timoshenko S.P., Gere J.</i> Mechanics of materials: textbook for universities. St. Petersburg: Lan Publ.; 2002. (In Russian).
2. <i>Babkin A.V., Selivanov V.V.</i> Fundamentals of continuum mechanics. Vol. 1. Applied continuum mechanics. Moscow: Publishing house of Bauman Moscow State Technical University; 2006. (In Russian).
3. <i>Selivanov V.V.</i> Mechanics of fracture of a deformable body. Vol. 2. Applied continuum mechanics. Moscow: Publishing house of Bauman Moscow State Technical University; 1999. (In Russian).
4. <i>Ananyin M.Yu.</i> Fundamentals of architecture and building structures. Terms and definitions. Ekaterinburg: Publishing House of the Ural Federal University; 2016. (In Russian).
5. <i>Zaitsev Yu.V., Okolnikova G.E., Dorkin V.V.</i> Fracture mechanics for builders. Moscow: INFRA-M Publ.; 2018. (In Russian).
6. <i>Keller I.E., Petukhov D.S.</i> Criteria of strength and ductility. Perm: Publishing house of Perm National Research Polytechnic University; 2020. (In Russian).
7. <i>Poroshin V.B.</i> Structural strength. Chelyabinsk: Publishing center of South Ural State University; 2019. (In Russian).
8. <i>Atapin V.G.</i> Strength of materials: textbook and workshop for universities. Moscow: Yurayt Publishing House; 2020. (In Russian).
9. <i>Albakasov A.I., Kudina L.I., Gavrilov A.A.</i> Structural mechanics. Part I. Statically determinate systems. Orenburg: Orenburg State University Publishing House; 2018. (In Russian).
10. <i>Kholodar B.G.</i> Bending of a rod with an arbitrary deformation diagrammaterial. In: Collection of scientific articles of the department “Strength of Materials and Theoretical Mechanics”. Brest: Publishing house of the Brest Polytechnic Institute; 1994, pp. 45–50. (In Russian).
11. <i>Rochnyak O.A., Gashko V.I.</i> On the issue of the mechanism of resistance of prestressed reinforced concrete beams, working with a two-digit diagram of bending moments, to the action of bending with transverse force. In: Collection of scientific articles of the department “Strength of Materials” and theoretical mechanics. Brest: Publishing house of the Brest Polytechnic Institute; 1994, pp. 121–125. (In Russian).
12. <i>Davidson D.L., Lankford J.</i> Fatigue crack growth in metals and alloys: mechanisms and micromechanics. International Materials Reviews. 1992;37(2):45–76. https://doi.org/10.1179/imr.1992.37.1.45
13. <i>Dorodov P.V., Kulagin A.V.</i> On the safety factor and reliability assessment of metal structures assemblies. Engineering journal of Don [internet]. 2012;(2):420–423. Available at: http://www.ivdon.ru/uploads/article/pdf/2012_2_66.pdf_810.pdf (access date: 01 June 2024). (In Russian).
14. <i>Zvezdov A.I., Vedyakov I.I., Solovyov D.V.</i> Development of regulatory approaches to the risk analysis of progressive collapse. Promyshlennoe i grazhdanskoe stroitel’stvo = Industrial and Civil Engineering. 2023;(10):34–40. (In Russian). https://doi.org/10.33622/0869-7019.2023.10.34-40
15. <i>Fedorova N.V., Savin S.Yu.</i> Progressive collapse resistance of facilities experienced to localized structural damage – an analytical review. Building and Reconstruction. 2021;(3):76–108. (In Russian). https://doi.org/10.33979/2073-7416-2021-95-3-76-108
Review
For citations:
Kulagin A.V. Variability of strength and stiffness assessment for non-profile beam structures. Bulletin of Science and Research Center of Construction. 2024;41(2):79-85. (In Russ.) https://doi.org/10.37538/2224-9494-2024-2(41)-79-85. EDN: MHYGBD