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The finite elements for design of building walling made of thin-walled beams (rus)

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Author(s): Lalin V.V. | Rybakov V.A.

Journal: Magazine of Civil Engineering
ISSN 2071-4726

Issue: 8;
Start page: 69;
Date: 2011;
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Keywords: thermopanel | torsion | interpolating polynomials | bimoment | deformation of shear | matrix of the inflexibility

ABSTRACT
In modern society in Russia and abroad there have been observed a wide application of a metalware in industrial and civil engineering. Special place in the building industry is belonged to light steel thin-walled constructions, which have a lot of technological advantages. In the monolithic and frame building, which amount constantly grows it is possible to use so-called thermopanels as effective and economic protecting designs.The purpose of this work is to create a numerical method of thin-walled bar systems design by using semi-sheared and unsheared theories. In the article the first development cycle of a numerical method creating is considered – creating of the matrixes of the inflexibility of thin-walled finite elements of various types using the semisheared theory (by V.I. Slivker) – depending on a way of approximation of deformations functions (torsion and warping): 1) linear approximation of torsional functions with a 2-central finite element having 4 transitions; 2) square-law approximation of torsional functions and linear approximation of warping function with a 3-central finite element having 5 transitions; 3) square-law approximation of functions of torsional and warping functions with a 3-central finite element having 6 transitions. Thus deformation functions (torsional angle and warping) are approximated as mutually independent functions. Also creating of a matrix of the inflexibility of a thin-walled finite element on unsheared theory of design (by V.Z. Vlasov) with cubic approximation of torsional functions is considered.

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