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STIFFNESS ANALYSIS AND OPTIMIZATION OF STEPPED COLUMNS UNDER COMBINED BENDING AND COMPRESSION

https://doi.org/10.31675/1607-1859-2020-22-5-111-121

Abstract

The paper presents the stiffness analysis and optimization of stepped columns constituting the core frame of the industrial building. The two-span cross section of a one- storey industrial building is investigated herein. The quasi-static calculation is performed using the limited load approximation method for the cross-section of the most loaded middle column. The critical Euler characteristic of the compressive longitudinal load is determined by the differential bending equations at the bifurcation instability in the column sections. The parameter optimization of the column cross-section is achieved through the nonlinear mathematical programming. The optimization of medium column cross-section is considered using the proposed calculation when setting a set of constraints for the optimization task.

About the Authors

G. I. Grebenyuk
Tomsk State University of Architecture and Building
Russian Federation

Grigorii I. Grebenyuk, DSc, Professor

2, Solyanaya Sq., 634003, Tomsk



V. I. Maksak
Tomsk State University of Architecture and Building
Russian Federation

Vladislav I. Maksak, DSc, Professor

2, Solyanaya Sq., 634003, Tomsk



E. V. Yankov
Novosibirsk State University of Architecture and Civil Engineering
Russian Federation

Evgenii V. Yаn'kov, PhD, A/Professor

113, Leningradskaya Str., 630008, Novosibirsk



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For citations:


Grebenyuk G.I., Maksak V.I., Yankov E.V. STIFFNESS ANALYSIS AND OPTIMIZATION OF STEPPED COLUMNS UNDER COMBINED BENDING AND COMPRESSION. Vestnik Tomskogo gosudarstvennogo arkhitekturno-stroitel'nogo universiteta. JOURNAL of Construction and Architecture. 2020;22(5):111-121. (In Russ.) https://doi.org/10.31675/1607-1859-2020-22-5-111-121

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ISSN 1607-1859 (Print)
ISSN 2310-0044 (Online)