GEOMETRIC INTERPRETATION INERTIA MOMENT CORRELATION AT CENTROIDAL PRINCIPAL AXIS ROTATION
https://doi.org/10.31675/1607-1859-2018-20-5-111-118
Abstract
One of the directions of further building development and improvement is the creation of structures with a complex internal structure, i. e. combined sections made of various materials operating in a single construction. It is necessary to search for new engineering methods that take into account the behavior of such structures. Trigonometric functions of in ertia moments not only increase the efficiency of computations, especially for complex resistance, but also provide new approaches to the development of engineering methods of building calculation with a complex internal structure.
Objective: The aim of this work is to increase the calculation range for formulas of determining the ratios of inertia moments based on the transformation of trigonometric functions.
Results: A new application of inertia ratios is proposed for the use of trigonometric functions.
Practical implications: The results of theoretical studies can be used in the development of engineering methods for building calculations with a complex internal structure.
About the Authors
P. S. Ivanov
Tomsk State University of Architecture and Building
Russian Federation
Russian Federation
PhD, A/Professor
2, Solyanaya Sq., 634003, Tomsk, Russia
A. S. Plyaskin
Tomsk State University of Architecture and Building
Russian Federation
Russian Federation
PhD, A/Professor
2, Solyanaya Sq., 634003, Tomsk, Russia
References
1. Kopanica D.G., Klopotov A.A., Ustinov A.M. Jeksperimental'noe issledovanie, metodom korreljacii cifrovyh izobrazhenij, naprjazhenno-deformirovannyh sostojanij poverhnosti prokatnogo dvutavra, usilennogo ugleplastikom [Method of correlating digital images of stressstrain states of rolled I-beam surface reinforced with carbon-filled plastic]. Innovacionnye tehnologii v mashinostroenii: sbornik trudov VIII Mezhdunarodnoj nauchno-prakticheskoj konferencii. Jurginskij tehnologicheskij institut. (Proc. 7th Int. Sci. Conf. „Innovative Technologies in Engineering‟). Tomsk: TPU, 2017. 322 p. (rus)
2. Plevkov V., Klopotov A., Potekaev A., Ustinov A., Marchenko E. Evolution of the reinforced I-beam strain state. MATEC Web of Conferences. 2018. V. 143. P. 01017.
3. Kopanica D.G., Moiseenko R.P., Pljaskin A.S. Sobstvennye kolebanija szhatoj stalebetonnoj kolonny [Natural vibrations of compressed steel concrete column]. Izvestija vysshih uchebnyh zavedenij. Tehnologija tekstil'noj promyshlennosti. 2017. V. 371. No. 5. Pp. 259–261. (rus)
4. Ivanov P.S. O nekotorykh aspektakh resheniya fizicheski nelineinykh zadach metodami stroitel'noi mekhaniki [Solving physically nonlinear problems of structural mechanics methods]. Vestnik of Tomsk State University of Architecture and Building. 2000. No. 2. Pp. 118–122. (rus)
5. Kopanitsa D.G., Pestsov D.N., Te A. Opredelenie geometricheskikh kharakteristik ploskikh figure. [Determination of geometric characteristics of plane figures]. Tomsk: STT, 2004. 140 p. (rus)
6. Ivanov P.S. Uprugoplasticheskij raschet i optimizacija monostal'nyh i bistal'nyh balok [Elastoplastic calculation and optimization of mono and bi-steel beams]. Tomsk: TSUAB, 2013. 220 p. (rus)
Review
For citations:
Ivanov P.S., Plyaskin A.S. GEOMETRIC INTERPRETATION INERTIA MOMENT CORRELATION AT CENTROIDAL PRINCIPAL AXIS ROTATION. Vestnik Tomskogo gosudarstvennogo arkhitekturno-stroitel'nogo universiteta. JOURNAL of Construction and Architecture. 2018;(5):111-118. (In Russ.) https://doi.org/10.31675/1607-1859-2018-20-5-111-118
Views:
611
Email this article 