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DESIGNING AND DETAILING OF BUILDING SYSTEMS. MECHANICS IN CIVIL ENGINEERING

ACCOUNT FOR PERFORMANCE OF CORRUGATED WEB BEAMS IN THE ANALYSIS OF CONSTRAINED TORSION

Vestnik MGSU 11/2012
  • Solovev Aleksey Vitalevich - Samara State University of Architecture and Civil Engineering (SGASU) Candidate of Technical Sciences, Associate Professor, Associate Professor, Department of Metal and Timber Structures, +7(846)332-09-36, Samara State University of Architecture and Civil Engineering (SGASU), 194 Molodogvardeyskaya st., Samara, 443001, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Lukin Aleksey Olegovich - Samara State University of Architecture and Civil Engineering (SSUACE) assistant lecturer, Department of Metal and Timber Structures; +7 (846) 332-14-65, Samara State University of Architecture and Civil Engineering (SSUACE), 194 Molodogvardeyskaya st., Samara, 443001, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Alpatov Vadim Yurevich - Samara State University of Architecture and Civil Engineering (SGASU) Candidate of Technical Sciences, Deputy First Vice-Rector, Associate Professor, Department of Metal and Timber Structures, Samara State University of Architecture and Civil Engineering (SGASU), 194 Molodogvardeyskaya st., Samara, 443001, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Savostyanov Vadim Nikolaevich - Mytishchi Branch, Moscow State University of Civil Engineering (MGSU) Doctor of Technical Sciences, Professor, Chair, Department of Applied Mechanics and Mathematics, +7(495)583-47-52, ext. 17-51, Mytishchi Branch, Moscow State University of Civil Engineering (MGSU), 50 Olimpiyskiy prospect, Mytishchi, 50 Olimpiyskiy prospekt, Moscow Region, 141006, Russian Federation.

Pages 105 - 112

The authors cover the problems of the numerical analysis of corrugated web beams exposed
to constrained torsion. The calculation is performed using the finite element method. Virtual solid
models and software package "Lira" are employed to perform the structural analysis. The results
of the comparative analysis of performance of beams that have flat and corrugated webs and that
are exposed to constrained torsion are presented in the article. Corrugated web beams that have
different geometrical shapes of corrugations are considered.
The results of the research have proven that a beam that has a corrugated web demonstrates
average deflections of 15-18 %. The rotation angle of the midsection of a corrugated web beam
is by far below the one of similar beams that have a flat web. Comparison of beams that have different
corrugation web patterns and that are exposed to constrained torsion proves that beams that
have a corrugated triangular shape web have a better bending stiffness, while beams that have
a trapezoidal shape demonstrate the best torsion stiffness, given that the geometric parameters
remain the same.
The authors believe that the flexural stiffness of beams with a corrugated web needs more
research, depending on its geometric characteristics. These results can be taken as the basis for
the empirical and analytical dependence on the definition of deflection. Due to the fact that beams
with a corrugated web are less sensitive to the increase in the eccentricity of load, it makes sense to
apply the method of calculation of a flat web beam exposed to constrained torsion, but the qualifying
factor is to be applied.

DOI: 10.22227/1997-0935.2012.11.105 - 112

References
  1. Timoshenko S.P. Ob ustoychivosti ploskoy formy izgiba dvutavrovoy balki [Stability of the In-plane Bending of an I-Beam] Izv. po-litekhn. instituta. [News of Polytechnic Institute]. St.Petersburg, Politekh. Institut Publ., 1905, 30 p.
  2. Umanskiy A.A. Kruchenie i izgib tonkostennykh aviakonstruktsiy [Torsion and Bending of Thinwalled Aaircraft Structures]. Moscow-St. Petersburg, Oborongiz publ., 1939, 112 p.
  3. Vlasov V.Z. Tonkostennye uprugie sterzhni [Thin-Walled Elastic Rods]. Moscow, Fizmatlit publ., 1959, 568 p.
  4. SP 16.13330.2011. Stal’nye konstruktsii (Aktualizirovannaya redaktsiya SNiP II-23—81*). [Construction Rules 16.13330.2011. Steel Structures. (Updated version of Construction Norms and Regulations II-23—81*)]. Moscow, 2011.
  5. Biryulev V.V., Koshin I.I., Krylov I.I., Sil’vestrov A.V. Proektirovanie metallicheskikh konstruktsiy: spetsial’nyy kurs [Design of Steel Structures: Special Course]. Leningrad, Stroyizdat publ., 1990, 432 p.
  6. Egorov P.I. Dopolnitel’nye izgibno-krutyashchie usiliya v dvutavrovom sterzhne s poperechnym nepreryvnom trapetseidal’nym profilem gofrov v stenke [Additional Bending and Twisting Forces in a Double-T Bar with a Cross Continuous Trapezoidal Section of Crimps in a Web]. Promyshlennoe i grazhdanskoe stroitel’stvo [Industrial and Civil Engineering]. 2007, no. 10, pp. 34—35.
  7. Stepanenko A.N. Stal’nye dvutavrovye sterzhni s volnistoy stenkoy [Steel I-rods with a Wavy Web]. Khabarovsk, KhGTU Publ., 1999, 115 p.
  8. Stepanenko A.N. Ispytanie alyuminievykh balok s gofrirovannoy stenkoy [Testing of Aluminum Beams with a Corrugated Web]. Izvestiya vuzov. Stroitel’stvo i arkhitektura [News of Higher Educational Institutions. Construction and Architecture]. Novosibirsk, 1970, no. 1, pp. 31—35.
  9. Siokola W. Wellstegtr?ger. Herstellung und Anwendung von Tr?gern mit profi liertem Steg. Stahlbau 66, 1997, pp. 595—605.
  10. Pasternak H, Hannebauer D. Tr?ger mit profi lierten Stegen, Stahlbau-Kalender 2004. Berlin, Verlag Ernst & Sohn, pp. 449—492.
  11. Geuzaine C. Remacle J.-F. Gmsh: a Three-dimensional Finite Element Mesh Generator with Built-in Pre- and Post-processing Facilities. International Journal for Numerical Methods in Engineering. 2009. No. 11, vol. 79, pp. 1309—1331.

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Modeling of suspension displacement process

Vestnik MGSU 8/2018 Volume 13
  • Galaguz Yuri P. - National Research Moscow State University of Civil Engineering (MGSU) Senior Lecturer, Department of Applied Mathematics, National Research Moscow State University of Civil Engineering (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Safina Galina L. - National Research Moscow State University of Civil Engineering (MGSU) , National Research Moscow State University of Civil Engineering (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 944-951

Subject: transport of fluid containing suspended solid particles significantly affects the strength and stability of underground storage facilities, tunnels and hydraulic structures. The process of suspension filtration and displacement of suspension by a flow of fluid is considered in this article. Research background: filtration problems have been intensively studied for the last half-century. During this period, filtration models have become much more advanced. When modeling long-term deep bed filtration, modern researchers have to take into account the numerous factors that influence the transport and deposition of microscopic particles in the porous media. A number of models are being constructed on the basis of balance relationship between suspended and retained particles. Stochastic approaches to filtration problems using the Boltzmann model, network models and random walk equations are also successfully being developed. Research objectives: the study of an advanced one-dimensional model of suspension filtration in a solid porous medium when the suspension is being displaced with pure water. Materials and methods: we consider the process of displacement of suspension with pure water in a porous medium at which the transfer of fine particles and the accumulation of a deposit occur. The mechanical and geometric interaction of particles with a porous medium is the basis of our mathematical model: the solid particles freely pass through the large pores and get stuck in the pores whose size is smaller than the particle diameter. It is assumed that the fluid flow or other particles cannot knock out the retained particles. Deep bed filtration model is described by the equation of mass balance of suspended and retained particles of suspension and the kinetic equation for growth of deposit. When deep bed filtration process is long, the number of free small pores is significantly reduced, which leads to the changes in permeability and porosity of the porous medium. In order to account for this phenomenon, in contrast to the classical filtration equations, the dependence of the coefficients of mass balance equation on deposit concentration is introduced. In this problem at the initial moment a porous medium is filled with a suspension of retained and suspended particles at given concentrations. At filter inlet the pure water starts flowing, which displaces the suspension and gradually fills the porous medium. In the porous medium with pure water the filtering of suspension is terminated, the suspended particles concentration becomes zero, and the retained particles concentration is constant. The numerical calculation is performed by the method of finite differences. Results: for the deep bed filtration problem with variable porosity and permeability, a moving boundary between two phases has been identified, i.e., the front of the moving water flow, and its graph is constructed. Three-dimensional plots of retained and suspended particles concentrations and plots of their two-dimensional cross-section at a fixed time and for a prescribed distance from the filter input are created. The numerical solution is compared with the exact solution for the case of constant coefficients. Conclusions: it is shown that the filtration model with constant functions of porosity and permeability for small values of time can be a linear approximation of more general nonlinear models. Practical significance: planning and development of modern technologies for wastewater and industrial waste treatment, protection of underground structures from groundwater and flood waters, strengthening of porous soil by the concrete grouting method are based on the results of mathematical modeling of filtration problems. The results of the paper allow us to reduce the amount and cost of laboratory research and optimize the cleaning technologies of filter systems.

DOI: 10.22227/1997-0935.2018.8.944-951

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