Resistance of i-beams in warping torsion with account for the development of plasticdeformations

Vestnik MGSU 1/2014
  • Tusnin Aleksandr Romanovich - Moscow State University of Civil Engineering (MGSU) Doctor of Technical Sciences, Professor, Chair, Department of Metal Structures, Moscow State University of Civil Engineering (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation.
  • Prokic Milan - Moscow State University of Civil Engineering (MGSU) postgraduate student, Department of Metal Structures, 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 75-82

Torsion of thin-walled open-section beams due to restrained warping displacements of cross-section is causing additional stresses, which make a significant contribution to the total stress. Due to plastic deformation there are certain reserves of bearing capacity, identification of which is of significant practical interest. The existing normative documents for the design of steel structures in Russia do not include design factor taking into account the development of plastic deformation during warping torsion. The analysis of thin-walled open-section members with plastic deformation will more accurately determine their load-bearing capacity and requires further research. Reserves of the beams bearing capacity due to the development of plastic deformations are revealed when beams are influenced by bending, as well as tension and compression. The existing methodology of determining these reserves and the plastic shape factor in bending was reviewed. This has allowed understanding how it was possible to solve this problem for warping torsion members and outline possible ways of theoretical studies of the bearing capacity in warping torsion. The authors used theoretical approach in determining this factor for the symmetric I-section beam under the action of bimoment and gave recommendations for the design of torsion members including improved value of plastic shape factor.

DOI: 10.22227/1997-0935.2014.1.75-82

References
  1. Vlasov V.Z. Tonkostennye uprugie sterzhni [Thin-walled Elastic Beams]. Moscow, Fizmatgiz Publ., 1959, 568 p.
  2. Timoshenko S.P., Gere J.M. Theory of Elastic Stability. 2nd Ed. McGraw-Hill, New York, 1961, 541 p.
  3. Farwell Jr.C.R., Galambos T.V. Nonuniform Torsion of Steel Beams in Elastic Range. Journal of Structural Engineering, ASCE, 1969, vol. 95(12), pp. 2813—2829.
  4. Dinno K.S., Merchant W. A Procedure for Calculating the Plastic Collapse of I-sections under Bending and Torsion. The Structural Engineer. 1965, vol. 43(7), pp. 219—221.
  5. Pi Y.L., Trahair N.S. Inelastic Torsion of Steel I-beams. Research Report no. R679. The University of Sydney, 1993.
  6. Trahair N.S. Plastic Torsion Analysis of Monosymmetric and Point-symmetric Beams. Journal of Structural Engineering, ASCE. 1999, vol. 125, no. 2, pp. 175—182.
  7. Trahair N.S., Bradford M.A., Nethercot D.A., Gardner L. The Behaviour and Design of Steel Structure to EC3. 4th Ed. Taylor & Francis, New York, 2008, 490 p.
  8. Sokolovskiy V.V. Teoriya plastichnosti [Theory of Plasticity]. Moscow, Vysshaya Shkola Publ., 1969, 608 p.
  9. Belenya E.I. Metallicheskie konstruktsii [Metal Structures]. Moscow, Stroyizdat Publ., 1986, 560 p.
  10. Bychkov D.V. Stroitel'naya mekhanika sterzhnevykh tonkostennykh konstruktsiy [Structural Mechanics of Bar Thin-walled Systems]. Moscow, Gosstroyizdat Publ., 1962, 475 p.

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The resistance problem of compressed-bent shanks with step inflexibility change

Vestnik MGSU 2/2015
  • Galkin Aleksandr Vasil’evich - Lipetsk State Technical University (LGTU) Candidate of Technical Sciences, Associate Professor, chair, Department of Applied Mathematics, Lipetsk State Technical University (LGTU), 30 Moskovskaya str., Lipetsk, 398600, Russian Federation; +7 (4742) 32-80-50; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Sysoev Anton Sergeevich - Lipetsk State Technical University (LGTU) Candidate of Technical Sciences, Assistant Lecturer, Department of Applied Mathematics, Lipetsk State Technical University (LGTU), 30 Moskovskaya str., Lipetsk, 398600, Russian Federation; +7 (4742) 32-80-51; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Sotnikova Irina Vladimirovna - Lipetsk State Technical University (LGTU) postgraduate student, Department of Metal Structures, Lipetsk State Technical University (LGTU), 30 Moskovskaya str., Lipetsk, 398600, Russian Federation, +7 (4742) 32-80-79; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 38-44

The main tasks of optimizing metal structures is reducing their materials consumption, time of production and erection. This is achieved by using thin-walled frame structures. Cold-formed profiles are some of them. The volume of such structures application in modern construction is constantly growing. At the same time it is necessary to note, that in Russia there is no regulatory base for design of structures made of cold formed profiles, because the actual operation of such constructions differs from the operation of constructions made of hot-rolled profiles. Buckling greatly influences the operation of frame structures made of cold-formed profiles. The problem connected with the resistance of compressed-bent shanks with variable inflexibility hinge-supported at the ends is under consideration. The way to calculate the critical load at which buckling of a shank happens was found out. This task solution will help to develop the normative base for designing made of cold-formed profiles.

DOI: 10.22227/1997-0935.2015.2.38-44

References
  1. Ayrumyan E.L., Kamenshchikov N.I., Liplenko M.A. Perspektivy LSTK v Rossii [Future of Steel Frames in Russia]. StroyPROFI. 2013, no. 10, pp. 12—17. (In Russian)
  2. Zverev V.V., Zhidkov K.E., Semenov A.S., Sotnikova I.V. Eksperimental’nye issledovaniya ramnykh konstruktsiy iz kholodnognutykh profiley povyshennoy zhestkosti [Experimental Researches of Frame Constructions Produced of Increased Rigidity Profiles]. Nauchnyy vestnik Voronezhskogo gosudarstvennogo arkhitekturno-stroitel'nogo universiteta. Stroitel'stvo i arkhitektura [Bulletin of Voronezh State University of Architecture and Civil Engineering]. 2011, no. 4 (24), pp. 20—24. (In Russian)
  3. Ayrumyan E.L. Rekomendatsii po raschetu stal’nykh konstruktsiy iz tonkostennykh gnutykh profiley [Recommendations for Calculating Steel Constructions Produced with Thin-Walled Roll-Formed Shapes]. StroyPROFI. 2009, no. 8 (78), pp. 12—14. (In Russian)
  4. Ayrumyan E.L. Osobennosti rascheta stal’nykh konstruktsiy iz tonkostennykh gnutykh profiley [Calculation Peculiarities of Steel Thin-Walled Roll-Formed Shapes]. Montazhnye i spetsial’nye raboty v stroitel’stve stroitelstve [Installation and Special Works in Construction]. 2008, no. 3, pp. 2—7. (In Russian)
  5. Luza G., Robra J. Design of Z-purlins: Part 1. Basics and Cross-section Values According to EN 1993-1-3. Proceedings of the 5th European Conference on Steel and Composite Structures EUROSTEEL, Graz, Austria, 2008. Vol. A, pp. 129—134.
  6. Luza G., Robra J. Design of Z-purlins: Part 2. Design Methods Given in Eurocode EN 1993-1-3. Proceedings of the 5th European Conference on Steel and Composite Structures EUROSTEEL. Graz, Austria, 2008. Vol. A, pp. 135—140.
  7. Smaznov D.N. Ustoychivost’ pri szhatii sostavnykh kolonn, vypolnennykh iz profiley iz vysokoprochnoy stali [Buckling Resistance of Composite Columns Made of High-Strength Steel Shapes]. Inzhenerno-stroitel’nyy zhurnal [Magazine of Civil Engineering]. 2009, no. 3 (5), pp. 42—49. (In Russian)
  8. Yu W-W., LaBoube R.A. Cold-Formed Steel Design. 4 ed. Wiley, 2010, 512 p.
  9. Timoshenko S.P. Ustoychivost' sterzhney, plastin i obolochek [Resistance of Shanks, Plates and Shells]. Under editorshop of E.I. Grigolyuk. Moscow, Nauka Publ., 1971, 807 p. (In Russian)
  10. Vol’mir A.S. Ustoychivost’ uprugikh system [Resistance of Flexible Systems]. Moscow, Fizmatgiz Publ., 1963, 879 p. (In Russian)
  11. Gorbachev V.I., Moskalenko O.B. Ustoychivost’ sterzhney s peremennoy zhestkost’yu pri szhatii raspredelennoy nagruzkoy [Resistance of Shanks with Variable Inflexibility while Pressing with Distributed Load]. Vestnik Moskovskogo gosudarstvennogo universiteta. Seriya 1. Matematika. Mekhanika [Proceedings of Moscow State University. Series 1. Mathematics. Mechanics]. 2012, no. 1, pp. 41—47. (In Russian)
  12. Temis Yu.M., Fedorov I.M. Sravnenie metodov analiza ustoychivosti sterzhney peremennogo secheniya pri nekonservativnom nagruzhenii [Comparing Analysis Methods of the Resistance of Shanks with Variable Cross Section at Neoconservative Loading]. Problemy prochnosti i plastichnosti [Problems of Stability and Plasticity]. 2006, no. 68, pp. 95—106. (In Russian)
  13. Lalin V.V., Rozin L.A., Kushova D.A. Variatsionnaya postanovka ploskoy zadachi geometricheski nelineynogo deformirovaniya i ustoychivosti uprugikh sterzhney [Variance Definition of Plane Problem of Nonlinear Deformation and Resistance of Flexible Shanks]. Inzhenerno-stroitel’nyy zhurnal [Magazine of Civil Engineering]. 2013, no. 1 (36), pp. 87—96. (In Russian)
  14. Kagan-Rozentsveyg L.M. O raschete uprugikh ram na ustoychivost’ [On Resistance Calculating of Flexible Frames]. Inzhenerno-stroitel’nyy zhurnal [Magazine of Civil Engineering]. 2012, no. 1 (27), pp. 74—78. (In Russian)
  15. Gukova M.I., Simon N.Yu., Svyashenko A.E. Vychislenie raschetnykh dlin szhatykh sterzhney s uchetom ikh sovmestnoy raboty [Calculation of the Designed lengths of Compression Bars with Account for TheirComposite Action ]. Stroitel'naya mekhanika i raschet sooruzheniy [Structural Mechanics and Calculation of Structures]. 2012, no. 3, pp. 43—48. (In Russian)
  16. Soldatov A.Yu., Lebedev V.L., Semenov V.A. Analiz ustoychivosti stal’nykh sterzhnevykh sistem s uchetom nelineynoy diagrammy deformirovaniya materiala [Flexibility Analysis of Steel Shank Systems Taking into Account Non-Linear Diagram of Deformation of Material]. Stroitel’naya mekhanika i raschet sooruzheniy [Structural Mechanics and Calculation of Structures]. 2012, no. 2, pp. 48—53. (In Russian)
  17. Soldatov A.Yu., Lebedev V.L., Semenov V.A. Analiz ustoychivosti stroitel’nykh konstruktsiy s uchetom fizicheskoy nelineynosti metodom konechnykh elementov [Flexibility Analysis of Construction Systems Taking into Account Physical Non-Linearity Using Finite Elements Method]. Stroitel’naya mekhanika i raschet sooruzheniy [Structural Mechanics and Calculation of Structures]. 2011, no. 6, pp. 60—66. (In Russian)
  18. Krutiy Yu.S. Zadacha Eylera v sluchae nepreryvnoy poperechnoy zhestkosti (prodolzhenie) [Euler Problem in Case of Constant Transverse Inflexibility (Continuance)]. Stroitel'naya mekhanika i raschet sooruzheniy [Structural Mechanics and Calculation of Structures]. 2011, no. 2, pp. 27—33. (In Russian)
  19. Slivker V.I. Ustoychivost’ sterzhnya pod deystviem szhimayushchey sily s fiksirovannoy liniey deystviya [Resistance of Shanks under the Influence of Comprehensive Load with Fixed Force Line]. Stroitel’naya mekhanika i raschet sooruzheniy [Structural Mechanics and Calculation of Structures]. 2011, no. 2, pp. 34—37. (In Russian)
  20. Nasonkin V.D. Predel’naya nagruzka dlya szhatykh sterzhney, deformiruemykh za predelom uprugosti [Ultimate Load for Compression Bars Deformable outside Limit of Elasticity]. Stroitel’naya mekhanika i raschet sooruzheniy [Structural Mechanics and Calculation of Structures]. 2007, no. 2, pp. 24—28. (In Russian)
  21. Potapov A.V. Ustoychivost’ stal’nykh sterzhney otkrytogo profilya s uchetom real’noy raboty materiala [Resistance of Steel Shanks with Open Profile Taking into Account Real Operation of the Material]. Izvestiya Kazanskogo gosudarstvennogo arkhitekturno-stroitel'nogo universiteta [Bulletin of Kazan State University of Architecture and Engineering]. 2009, no. 1, pp. 112—115. (In Russian)

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Strength of the expandedstretching profile: tests and mathematical modeling

Vestnik MGSU 12/2013
  • Sinelnikov Aleksey Sergeevich - Saint Petersburg State Polytechnical University (SPbGPU) postgraduate student, Department of Unique Buildings and Structures Engineering, Saint Petersburg State Polytechnical University (SPbGPU), 29 Polytechnicheskaya, st., St.Petersburg, 195251, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Orlova Anna Vladimirovna - Saint Petersburg State Polytechnical University (SPbGPU) student, Department of Unique Buildings and Structures Engineering, Saint Petersburg State Polytechnical University (SPbGPU), 29 Polytechnicheskaya, st., St.Petersburg, 195251, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 41-54

This summary report is based on the experimental and numerical research of thin-walled cross-section’s compression resistance carried out in St. Petersburg State Polytechnical University. Current situation on the Russian market concerning the usage of cold-formed thin walled cross-sections is aimed at finding out a base foundation to start up a stipulation of the elements under discussion in the building industry. Some questions about the compression resistance of such cross-sections were raised at different conferences by scientific community and such companies as Arsenal ST, Baltprofile (Russia) and Rautaruukki Oyj (Finland). In this field a number of Doctoral theses have been defended during recent years in Russia (A.R. Tusnin, G.I. Belyy, I.V. Astakhov, D.V. Kuz'menko). Steel galvanized Cand U-profiles and thermo-profiles are the types of thin-walled cross-sections are normally used in small houses construction. Thermo-profiles have slots in webs that decrease the thermal flow through the web, but have negative effect on strength of the profiles. Reticular-stretched thermo-profile is a new type of thin-walled cross-sections that found its place on Russian market. These profiles were an object of the research. The carried out investigations included tests to prove the compression resistance of the thin-walled cross-sections. The compression tests as a result showed the behavior of stud’s profile under critical load. The specimen was compressed under various loads and deformation was recorded. In order to get buckling force a load-deformation diagram was plotted and analyzed. Analytical modeling of thin-walled cross-sections was done with contemporary analysis software (SCAD Office) using finite element method (FEM). During the modeling process the thin-walled profile based on shelland bar-elements were created and buckling analysis task showed good results.

DOI: 10.22227/1997-0935.2013.12.41-54

References
  1. Shatov D.S. Konechnoelementnoe modelirovanie perforirovannykh stoek otkrytogo secheniya iz kholodnognutykh profiley [Finite Element Modelling of Perforated Stays of Open Section Made of Cold-bent sections]. Inzhenerno stroitel'nyy zhurnal [Engineering Construction Journal]. 2011, no. 3, pp. 32—34.
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