DESIGNING AND DETAILING OF BUILDING SYSTEMS.MECHANICS IN CIVIL ENGINEERING

SUPERELEMENT OF A COLUMN HAVING A RECTANGULAR CROSS SECTION AND CHARACTERIZED BY PHYSICAL NONLINEARITY

Vestnik MGSU 5/2013
  • Agapov Vladimir Pavlovich - Moscow State University of Civil Engineering (MGSU) Doctor of Technical Sciences, Professor departmet of applied mechanics and mathematics; +7 (495) 583-47-52, Moscow State University of Civil Engineering (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation.
  • Vasil’ev Aleksey Viktorovich - Rodnik Limited Liability structural engineer; +7 (482)276-10-04., Rodnik Limited Liability, 22 Kominterna St., 170000, Tver, Russian Federation.

Pages 29-34

They cause mistakes in the transfer of forces in specific points and invariability of sizes and types of cross sections of rods in the course of their deformation. The approach to the analysis of rectangular section columns is proposed. The new approach originates from the three-dimensional theory supplemented by the superelement technology. The column is divided into sections and finite elements. The analysis of physically nonlinear structures is executed using the PRINS software. The flow theory is used to identify the characteristics of finite elements. Huber-Mises plasticity criterion is applied. The console beam loaded by concentrated forces on the free end is calculated to verify the element. The limiting load value identified by PRINS software complies with the theoretical values derived using the theory of limit equilibrium.

DOI: 10.22227/1997-0935.2013.5.29-34

References
  1. NASTRAN Theoretical Manual. NASA, Washington, 1972.
  2. Basov Ê.À. ANSYS. Spravochnik pol’zovatelya [ANSYS. User Manual]. Moscow, DMK-Press Publ., 2005, 637 p.
  3. Bathe K.J., P.M. Wiener. On Elastic-plastic Analysis of I-Beams in Bending and Torsion. Computers and Structures. 1983, vol. 17, pp. 711—718.
  4. Barabash M.S., Genzerskiy Yu.V., Marchenko D.V. LIRA 9.2. Primery rascheta i proektirovaniya. Ch. 1 [LIRA 9.2. Examples of Analysis and Design. Part 1]. Kiev, FAKT Publ., 2005, 84 p.
  5. Filin A.P. Matritsy v statike sterzhnevykh system [Matrixes in the Statics of a Bar System]. Moscow-Leningrad, Izd-vo literatury po stroitel’stvu publ., 1966, 438 p.
  6. Zienkiewicz O.C., Taylor R.L. The Finite Element Method for Solid and Structural Mechanics. McGraw-Hill, 2005, 631 p.
  7. Bathe K.J. Finite Element Procedures. Prentice Hall, Inc., 1996, 1037 p.
  8. Agapov V.P. Issledovanie prochnosti prostranstvennykh konstruktsiy v lineynoy i nelineynoy postanovkakh s ispol’zovaniem vychislitel’nogo kompleksa «PRINS» [Study of Linear and Non-linear Strength of 3D Structures Using PRINS Software]. Prostranstvennye konstruktsii zdaniy i sooruzheniy (issledovanie, raschet, proektirovanie, primenenie) [3D Constructions of Buildings and Structures (study, analysis, design, application)]. Collection of works, edited by Shugaev V.V. Moscow, 2008, no. 11, pp. 57—67.
  9. Agapov V.P., Vasil’ev A.V. Modelirovanie kolonn pryamougol’nogo secheniya ob”emnymi elementami s ispol’zovaniem superelementnoy tekhnologii [Modeling of Rectangular Section Columns Using 3D Elements Backed by Theory of Superelements]. Stroitel’naya mekhanika inzhenernykh konstruktsiy i sooruzheniy [Structural Mechanics of Engineering Constructions and Structures]. 2012., no. 4, pp. 48—54.
  10. Rzhanitsyn A.R. Raschet sooruzheniy s uchetom plasticheskikh svoystv materialov [Analysis of Structures with Account for Plastic Properties of Materials]. Moscow, Gos. izd-vo literatury po stroitel’stvu i arkhitekture publ., 1954, 288 p.

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