Jordan Eliminations in Force Analysis When Changing Beam Structural Design
https://doi.org/10.31675/1607-1859-2024-26-4-187-198
Abstract
Purpose: The aim of the work is to study changes in forces in cross sections of a statically indeterminate beam when changing the structural design.
Methodology: Jordan elimination is used to solve the system of equations. Jordan elimination used in the force analysis is considered on the example of the formation of a statically indeterminate beam by connecting two previously calculated statically indeterminate beams into one.
Research findings: The data obtained for two separate statically indeterminate beams and Jordan elimination allow to calculate the forces and displacements for a statically indeterminate beam obtained by connecting two separate beams without the need to solve a new system of resolving equations.
About the Authors
D. N. Pestcov
Tomsk State University of Architecture and Building
Russian Federation
Russian Federation
Dmitry N. Pestcov, PhD
2, Solyanaya Sq., 634003, Tomsk
M. O. Moiseenko
Tomsk State University of Architecture and Building
Russian Federation
Russian Federation
Margarita O. Moiseenko, PhD
2, Solyanaya Sq., 634003, Tomsk
T. A. Treputneva
Tomsk State University of Architecture and Building
Russian Federation
Russian Federation
Tatiyana A. Treputneva, PhD
2, Solyanaya Sq., 634003, Tomsk
References
1. Pestsov D.N. Jordan Eliminations in Bar System Analysis with Changes in Design Model. Vestnik Tomskogo gosudarstvennogo arkhitekturno-stroitel'nogo universiteta – Journal of Construction and Architecture. 2021; 23 (1): 96–104. (In Russian)
2. Pestsov D.N. Static Analysis of Hinge-Rod Systems with Changes in Structural Design. Sbornik trudov molodykh uchenykh NGASU. 1999; (2) 152. (In Russian)
3. Pestsov D.N., Te A.B. Analysis of Hinge-Rod Systems with Changes in Structural Design. In: Proc. Sci. Conf., Novosibirsk, April 1–9. 1995. Pp. 2–4. (In Russian)
4. Serazutdinov M.N., Ubaidulloev M.N., Nizameev V.G. Calculation of Loaded Structures with Reinforced Cross Section and Changed Structural Design. Izvestiya Kazanskogo gosudarstvennogo arkhitekturno-stroitel'nogo universiteta. 2016; 3 (37): 255–262. (In Russian)
5. Kabantsev O.V., Tamrazyan A.G. Changes in Structural Design in Analysis of Operation. Inzhenerno-stroitel'nyi zhurnal. 2014; 5 (49): 15–26. (In Russian)
6. Te A.B. Mechanical Interpretation of Jordan Eliminations in Calculation of Statically Indeterminate Systems. In: Research on Structural Mechanics and Structures. Tomsk: TSU, 1989, Pp. 144–150. (In Russian)
7. Perel'muter A.V., Slivker V.I. Design Models of Constructions and Their Analysis. Moscow: DMK-Press, 2011. 736 p. (In Russian)
8. Prikhach N.K., Kondrat'eva N.A. Mathematical Programming. Minsk, 2021. 157 p. (In Russian)
9. Zukhovitskii S.I., Avdeeva L.I. Linear and Convex Programming. Moscow: Nauka, 1967. 460 p. (In Russian)
Review
For citations:
Pestcov D.N., Moiseenko M.O., Treputneva T.A. Jordan Eliminations in Force Analysis When Changing Beam Structural Design. Vestnik Tomskogo gosudarstvennogo arkhitekturno-stroitel'nogo universiteta. JOURNAL of Construction and Architecture. 2024;26(4):187-198. (In Russ.) https://doi.org/10.31675/1607-1859-2024-26-4-187-198
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