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DESIGNING AND DETAILING OF BUILDING SYSTEMS. MECHANICS IN CIVIL ENGINEERING

ON CALCULATION OF BEAMS RESTING ON TWO-PARAMETER ELASTIC FOUNDATIONS

Vestnik MGSU 2/2012
  • Gabbasov Radek Fatyhovich - Moscow State University of Civil Engineering (MSUCE) Doctor of Technical Sciences, Professor, Department of Structural Mechanics 8 (495) 287-49-14 ext. 3141, Moscow State University of Civil Engineering (MSUCE), Office 405, 26 Jaroslavskoe shosse, Moscow, 129337, Russia; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Uvarova Natal'ja Borisovna - Moscow State University of Civil Engineering (MSUCE) Candidate of Technical Sciences, Professor, Department of Structural Mechanics 8 (495) 287-49-14 ext. 3141, Moscow State University of Civil Engineering (MSUCE), Office 405, 26 Jaroslavskoe shosse, Moscow, 129337, Russia; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Filatov Vladimir Vladimirovich - Moscow State University of Civil Engineering (MGSU) Candidate of Technical Sciences, Associate Professor, Department of Structural Mechanics, Moscow State University of Civil Engineering (MGSU), 26 Yaroslavskoye shosse, Moscow, 129337, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 25 - 29

The numerical algorithm of calculation of beams resting on the two-parameter elastic foundation according to the model developed by V.Z. Vlasov and N.N. Leont'yev is considered in the proposed paper. The difference form of SUPROX method (Successive Approximations Method) is applied to generate the numerical algorithm. The following beam was calculated to test the proposed calculation algorithm: с1=1/2; С2=1/3;g=0; Δmj=1; =1. Comparison of the result of the analytical solution with the proposed one has proven the high accuracy of the latter. Another example
represents the calculation of a short beam featuring a span and resting on the two-parameter foundation.

DOI: 10.22227/1997-0935.2012.2.25 - 29

References
  1. Gabbasov R.F., Gabbasov A.R., Filatov V.V. Chislennoe postroenie reshenij razryvnyh zadach stroitel'noj mehaniki [Numerical Solutions of Discontinuity Problems of Structural Mechanics]. Moscow, ASV, 2008, 280 p.
  2. Filatov V.V. O raschete sostavnyh balok na uprugom osnovanii s dvumja kojefficientami posteli [On Calculation of Composite Beams Resting on Elastic Foundations with Two-Parameter Elastic Foundations]. Stroitel'naja mehanika inzhenernyh konstrukcij i sooruzhenij, 2010, Issue # 3, pp. 38—40.
  3. Leont'ev N.N., Leont'ev A.N., Sobolev D.N., Anohin N.N. Osnovy teorii balok i plit na deformiruemom osnovanii [Basics of Theory of Beams and Slabs Resting on Deformed Foundations]. Moscow, MISI, 1982, 119 p.

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