DESIGNING AND DETAILING OF BUILDING SYSTEMS. MECHANICS IN CIVIL ENGINEERING

ENERGY METHOD OF ANALYSIS OF STABILITY OF COMPRESSED RODS WITH REGARD FOR CREEPING

Vestnik MGSU 1/2013
  • Chepurnenko Anton Sergeevich - Don State Technical University (DGTU) Candidate of Engineering Science, teaching assistant of the strength of materials department, Don State Technical University (DGTU), 162 Sotsialisticheskaya str., Rostov-on-Don, 344022; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Andreev Vladimir Igorevich - Moscow State University of Civil Engineering (National Research University) (MGSU) Doctor of Technical Sciences, Professor, corresponding member of Russian Academy of Architecture and Construction Sciences, chair, Department of Strength of Materials, Moscow State University of Civil Engineering (National Research University) (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Yazyev Batyr Meretovich - Rostov State University of Civil Engineering (RSUCE) Doctor of Technical Sciences, Professor, Chair, Depart- ment of Strength of Materials; +7 (863) 201-91-09, Rostov State University of Civil Engineering (RSUCE), 162 Sotsialisticheskaya St., Rostov-on-Don, 344022, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 101-108

The problem of stability of polymer rods with account for creeping was resolved using the energy method customized by Tymoshenko and Ritz. Possible patterns of displacements were provided in the form of trigonometric series with undetermined coefficients. The principle of the minimal total potential energy of the system was taken as the basis. According to this principle, the form in which the potential energy has a minimum value is implemented in all possible patterns of deformation occurring due to the loss of stability. The energy method makes it possible to replace the solution of complex differential equations by the solution of simple linear algebraic equations. The result was obtained numerically using MatLab software applicable to different equations describing deformations and stresses caused by the exposure to creeping. The problem was solved for low and high density polyethylene. The equation of Maxwell and Thompson was

DOI: 10.22227/1997-0935.2013.1.101-108

References
  1. Aleksandrov A.V. Soprotivlenie materialov. Osnovy teorii uprugosti i plastichnosti [Strength of Materials. Fundamentals of the Theory of Elasticity and Plasticity]. Moscow, Vyssh. shk. publ., 2002, 400 p.
  2. Klimenko E.S., Amineva E.H., Litvinov S.V., Yazyev S.B., Kulinich I.I. Ustoychivost’ szhatykh neodnorodnykh sterzhney s uchetom fi zicheskoy nelineynosti materiala [Stability of Compressed Heterogeneous Rods with Account for the Physical Nonlinearity of the Material]. Rostov-on-Don, Rostov State University of Civil Engineering Publ., 2012, 77 p.
  3. Alfutov N.A. Osnovy rascheta na ustoychivost’ uprugikh system [Fundamentals of Stability Analysis of Elastic Systems]. Moscow, Mashinostroenie Publ., 1991, 336 p.
  4. Vol’mir A.S. Ustoychivost’ deformiruemykh system [Stability of Deformable Systems]. Moscow, Nauka Publ., 1975, 984 p.
  5. Timoshenko S.P. Ustoychivost’ uprugikh system [Stability of Elastic Systems]. Moscow, Gostekhizdat Publ., 1946.
  6. Andreev V.I. Nekotorye zadachi i metody mekhaniki neodnorodnykh tel [Some Problems and Methods of Mechanics of Heterogeneous Bodies]. Moscow, ASV Pub., 2002, 288 p.
  7. Turusov R.A. Temperaturnye napryazheniya i relaksatsionnye yavleniya v osesimmetrichnykh zadachakh mekhaniki zhestkikh polimerov [Thermal Stresses and Relaxation Phenomena in Axisymmetric Problems of Mechanics of Rigid Polymers]. Moscow, 1970, 104 p.
  8. Belous P.A. Ustoychivost’ polimernogo sterzhnya pri polzuchesti s uchetom nachal’noy krivizny [Stability of a Polymer Rod Exposed to Creeping with Regard for Its Initial Curvature]. Trudy Odesskogo politekhnicheskogo instituta [Works of Odessa Polytechnic Institute]. 2001, no. 2, pp. 43—46.
  9. Gurevich G.I. Deformiruemost’ sred i rasprostranenie seysmicheskikh voln [Deformability of Media and Propagation of Seismic Waves]. Moscow, Nauka Publ., 1974, 482 p.
  10. Gol’dman A.Ya. Prochnost’ konstruktsionnykh plastmass [Structural Plastic Strength]. Leningrad, Mashinostroenie Publ., 1979, 320 p.

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Compression test of cold-formedsteel perforated profile with steel sheathing

Vestnik MGSU 5/2015
  • Shamanin Aleksandr Yur’evich - Moscow State Academy of Water Transport (MSAWT) Senior Lecturer, postgraduate student, Department of Shipbuilding and Ship Repair, Moscow State Academy of Water Transport (MSAWT), 2-1 Novodanilovskaya nab., Moscow, 115407, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 43-52

The subject of this paper is the stability and strength of cold-formed and perforated steel sigma-section columns with steel sheathing of different thickness. Ceilings with and without steel sheathing of different thickness are tested to failure in compression on a laboratory machine, which was based on a manual hydraulic jack. Series of 4 experiments with full-scale walls (2.5 m height) were carried out. Also, for examination of the role of boundary conditions, the sheet in a ceiling is either left free or connected to base with screws.In civil engineering there are many experiments and methodologies for calculating the strength and buckling of ceiling with the sheathing of various materials, such as oriented strand board and gypsum board. However, for producing superstructures of ships the materials with high plastic properties and strength characteristics are required. For example steel possesses such properties. It was the main reason for conducting a series of experiments and studying the behavior of cold-formed steel columns with steel sheathing. During the experiments the deformation of the cross-section of three equally spaced cross sections was determined, as well as the axial deformation of the central column in the ceiling with steel sheathing.The test results showed the influence of the thickness of sheathing and boundary condition of a sheet on the strength and buckling of ceiling. According to the results of the tests it is necessary to evaluate the impact of the sheathing made of different materials and if necessary to carry out further tests.

DOI: 10.22227/1997-0935.2015.5.43-52

References
  1. Slugacheva E.V. Legkie stal’nye tonkostennye konstruktsii [Lightweight Steel Thin-Walled Structures]. Prioritetnye nauchnye napravleniya: ot teorii k praktike [Priority Scientific Fields: from Theory to Practice]. 2013, no. 5 (June), pp. 6—9. (In Russian)
  2. Santalova T.N., Bogarev I.S. Maloetazhnoe stroitel’stvo po karkasnoy tekhnologii [Low-rise Construction Basing on Frame Technology]. Sbornik nauchnykh trudov Sworld po materialam Mezhdunarodnoy nauchno-prakticheskoy konferentsii [Collection of Scientific Works of Sworld : from the Materials of the International Science and Practice Conference]. 2011, vol. 29, no. 3, pp. 15—17. (In Russian)
  3. Shamanin A.Yu. O primenenie stal’nogo tonkostennogo kholodnognutogo profilya v kruiznom rechnom flote [On Applying Steel Thin-Walled Cold-Formed Profile in Cruise River Fleet]. Innovatsionnye preobrazovaniya, prioritetnye napravleniya i tendentsii razvitiya v ekonomike, proektnom menedzhmente, obrazovanii, yurisprudentsii, yazykoznanii, kul’turologii, ekologii, zoologii, khimii, biologii, meditsine, psikhologii, politologii, filologii, filosofii, sotsiologii, gradostroitel’stve, informatike, tekhnike, matematike, fizike : sbornik nauchnykh statey po itogam Mezhdunarodnoy nauchno-prakticheskoy konferentsii 29—30 aprelya 2014 goda [Innovative Transformations, Priority Directions and Tendencies of the Development in Economy, Project Management, Education, Law, Linguistics, Culturology, Sociology, Urban Development, Computer Science, Technology, Mathematics, Physics : Collection of Scientific Articles of the International Science and Practice Conference, April 29—30, 2014]. Saint Petersburg, Kul’tInformPress Publ., 2014, pp. 183—186. (In Russian)
  4. EN 1993-1-3:2004. Evrokod 3. Proektirovanie stal’nykh konstruktsiy. Chast’ 1—3. Obshchie pravila. Dopolnitel’nye pravila dlya kholodnoformovannykh elementov i profilirovannykh listov [EN 1993-1-3:2004. Eurocode 3. Design of Steel Structures. Part 1—3. General Rules. Additional Rules for Cold-Formed Elements and Shaped Sheets]. 2004. Available at: http://docs.cntd.ru/document/1200089713/. Date of access: 20.02.2015. (In Russian)
  5. Vatin N.I., Popova E.N. Termoprofil’ v legkikh stal’nykh stroitel’nykh konstruktsiyakh [Thermal Profile in Lightweight Steel Building Structures]. Saint Petersburg, St. Petersburg Polytechnic University Publ., 2006, 64 p. (In Russian)
  6. Kikot’ A.A., Grigor’ev V.V. Vliyanie shiriny poyasa i parametrov stenki na effektivnost’ stal’nogo tonkostennogo kholodnognutogo profilya sigmaobraznogo secheniya pri rabote na izgib [Influence of the Stake Width and Wall Parametres on the Efficiency of Steel Then-Walled Cold-Formed Profile of Sigmoid Cross-Section at Bending]. Inzhenerno-stroitel’nyy zhurnal [Magazine of Civil Engineering]. 2013, no. 1 (36), pp. 97—102. (In Russian)
  7. Zebel’yan Z.Kh. Osnovy rascheta perforirovannykh plastinchatykh elementov termoprofiley [Foundations of Calculating Perforated Plated Elements of Thermal Profiles]. Promyshlennoe i grazhdanskoe stroitel’stvo [Industrial and Civil Engineering]. 2015, no. 2, pp. 17—23. (In Russian)
  8. Volkov V.M. Prochnost’ korablya [Ship Strength]. N. Novgorod, NGTU Publ., 1994, 256 p. (In Russian)
  9. Shifferaw Y., Vieira Jr. L.C.M., Schafer B.W. Compression Testing of Cold-Formed Steel Columns with Different Sheathing Configurations. Proceedings of the Structural Stability Research Council — Annual Stability Conference. Orlando, FL, 2010, pp. 593—612.
  10. Kurazhova V.G., Nazmeeva T.V. Vidy uzlovykh soedineniy v legkikh stal’nykh tonkostennykh konstruktsiyakh [Types of Joint Connections in Lightweight Steel Thin-Walled Structures]. Inzhenerno-stroitel’nyy zhurnal [Magazine of Civil Engineering]. 2011, no. 3, pp. 47—52. (In Russian)
  11. Tan S.H., Seah L.K., Fok S.C. Connections in Cold-Formed Thin-Walled Structures. Computers & Structures. 1996, vol. 60, no. 1, pp. 169—172.
  12. Ayrumyan E.L. Rekomendatsii po proektirovaniyu, izgotovleniyu i montazhu konstruktsiy karkasa maloetazhnykh zdaniy i mansard iz kholodnognutykh stal’nykh otsinkovannykh profiley proizvodstva OOO «Balt-Profil’» [Recommendations on Design, Production and Erection of the Frame Structures of Low-Rise Buildings and Mansards of Cold-Formed Steel Galvanized Sidings Produced by LLC “Balt-Profil’”]. Moscow, TsNIIPSK im. Mel’nikova Publ., 2004, 70 p. (In Russian)
  13. Katranov I.G. Effektivnost’ primeneniya boltov i samosverlyashchikh samonarezayushchikh vintov v soedineniyakh tonkostennykh stal’nykh konstruktsiy [Efficiency of Applying Bolts and Self-Drilling Thread Forming Screws in the Joints of Thin-Walled Steel Structures]. Stroitel’nye materialy, oborudovanie, tekhnologii XXI veka [Construction Materials, Equipment and Technologies of the 21st Century]. 2011, no. 5 (148), pp. 30—31. (In Russian)
  14. Nazmeeva T.V. Metodika provedeniya ispytaniy na szhatie stoek, vypolnennykh iz kholodnognutogo stal’nogo profilya [Methods of Performing Compression Tests of Beams Made of Cold-Formed Steel Profile]. Vestnik Cherepovetskogo gosudarstvennogo universiteta [Cherepovets State University Bulletin]. 2013, vol. 1, no. 3 (49), pp. 12—17. (In Russian)
  15. Winn A.P., Kyaw H., Troyanovskyi V.M., Aung Y.L. Metodika i programma dlya nakopleniya i statisticheskogo analiza rezul’tatov komp’yuternogo eksperimenta [Methodology and program for the storage and statistical analysis of the results of computer experiment]. Komp’yuternye issledovaniya i modelirovanie [Computer Research and Modeling]. 2013, vol. 5, no. 4, pp. 589—595. (In Russian)
  16. Shifferaw Y., Vieira Jr. L.C.M., Schafer B.W. Compression Testing of Cold-Formed Steel Columns with Different Sheathing Configurations. Structural Stability Research Council — Annual Stability Conference, SSRC 2010 — Proceedings 2010 Annual Stability Conference, SSRC 2010. Orlando, FL, 2010, pp. 593—612.
  17. Foroughi H., Moen C.D., Myers A., Tootkaboni M., Vieira L., Schafer B.W. Analysis and Design of Thin Metallic Shell Structural Members-Current Practice and Future Research Needs. Proc. of Annual Stability Conference Structural Stability Research Council, Toronto, Canada, March 2014. Available at: http://nuweb5.neu.edu/atm/wp-content/uploads/2014/04/SSRC%202014%20Foroughi%20et%20al%20thin%20shells%20review.pdf/. Date of access: 20.02.2015.
  18. Li Z., Schafer B.W. The Constrained Finite Strip Method for General end Boundary Conditions. Structural Stability Research Council — Annual Stability Conference, SSRC 2010 — Proceedings 2010 Annual Stability Conference, SSRC 2010. Orlando, FL, 2010, pp. 573—591.
  19. Rybakov V.A., Nedviga P.N. Empiricheskie metody otsenki nesushchey sposobnosti stal’nykh tonkostennykh prosechno-perforirovannykh balok i balok so sploshnoy stenkoy [Empirical Methods of Estimating the Bearing Capacity of Steel Thin-Walled Expanded-Perforatef Beams and Beams with Solid Wall]. Inzhenerno-stroitel’nyy zhurnal [Magazine of Civil Engineering]. 2009, no. 8, pp. 27—30. (In Russian)
  20. Tusnina O.A., Heinisuo M. Metodika rascheta tonkostennykh gnutykh progonov na osnove rekomendatsiy Eurocode [Methods of Calculating Thin-Walled Bent Beams Basing on Eurocode Recommendations]. Promyshlennoe i grazhdanskoe stroitel’stvo [Industrial and Civil Engineering]. 2012, no. 11, pp. 67—70. (In Russian)
  21. Vatin N., Sinelnikov A., Garifullin M., Trubina D. Simulation of Cold-Formed Steel Beams in Global and Distortional Buckling. Applied Mechanics and Materials. 2014, vol. 633—634, pp. 1037—1041. DOI: http://dx.doi.org/10.4028/www.scientific.net/AMM.633-634.1037.

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Numerical modeling of manufacturing process of corrugated plate

Vestnik MGSU 8/2014
  • Khodos Ol'ga Aleksandrovna - Moscow State University (MSU) postgraduate student, Department of Composite Mechanics, Moscow State University (MSU), 1 Leninskie Gory, Moscow, 119991, Russian Federation; +7 (495) 939-43-43; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Sheshenin Sergey Vladimirovich - Moscow State University (MSU) Doctor of Physical and Mathematical Sciences, Professor, Department of Composite Mechanics, Moscow State University (MSU), 1 Leninskie Gory, Moscow, 119991, Russian Federation; +7 (495) 939-43-43; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Zakalyukina Irina Mikhaylovna - Moscow State University of Civil Engineering (MGSU) Candidate of Physical and Mathematical Sciences, Assosiate Professor, Department of Theoretical Mechanics and Aerodynamics, Moscow State University of Civil Engineering (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation; +7 (499) 183-24-01; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 36-43

The rigidity increase of structures consisting of plates and shells is a relevant task. One way to obtain plates with enhanced stiffness performance is the corrugation, i.e. change of its topography elevation. Depending on the method, corrugation provides a plate with additional rigidity in one or several directions without weight gain. The most common way to get corrugated plates is pressure forming. The problem of finding the most energy saving method is very relevant. In this regard, a possible approach is to use buckling of thin cylinder. The idea of this technique comes from the fact that as a result of stability loss of cylindrical shell in compression along its elements, the cylinder walls are deformed periodically. The article considers the problem of corrugated plates manufacturing using smooth sheet metal. The method of manufacture is based on irreversible process of cylindrical buckling of a shell previously obtained from a worksheet. Such a deformation process may be useful if the energy spent on its implementation is smaller than the energy in standard process of forming. The task of defining the stiffness of a corrugated plate is quite difficult because it is difficult to experimentally measure the tension, bending and coupled stiffness. The numerical simulation of three ways to manufacture corrugated cylindrical shell made of smooth sheet by elastic-plastic deformation process are offered: the first way is to deform the cylindrical shell under the action of axial load on the butt end, and the second way is the influence of strutting internal pressure. In the third way the cylindrical shell is made of the leaf using the special techniques. In order to compare the effectiveness of the options presented for each case the internal energy is calculated. It is shown that the energy expenditure in buckling method is the smallest.

DOI: 10.22227/1997-0935.2014.8.36-43

References
  1. Behrens A., Ellert J. FE-Analyse des witkmedienbasierten Wölbstrukturie-rungsprozesses von Feinblechen und seine Auswirkungen auf das Verhalten charakteristischer Leichtbauwerstücke. Forschungsvorhaben BE — Universitat der Baundeswehr Humburg, Institut fuer Konstruktions und Fertigungstec. 2003, vol. 965, no. 8, pp. 1—3.
  2. Sheshenin S.V., Khodos O.A. Effektivnye zhestkosti gofrirovannoy plastiny [Effective Stiffness of Corrugated Periodical Plate]. Vychislitel'naya mekhanika sploshnykh sred [Computational Continuum Mechanics]. 2011, vol. 4, no. 2, pp. 128—139.
  3. Alfutov N.A. Osnovy rascheta na ustoychivost' uprugikh system [Stability Calculation Basis for Elastic Systems]. 2nd ed. Moscow, Mashinostroenie Publ., 1991, 336 p.
  4. Pikul' V.V. K teorii ustoychivosti obolochek [To the Theory of Shell Stability]. Vestnik SVNTs DVO RAN [Bulletin of the North-East Scientific Center, Russia Academy of Sciences Far East Branch]. 2006, no. 4, pp. 81—86.
  5. Kanou H., Nabavi S.M., Jam J.E. Numerical Modeling of Stresses and Buckling Loads of Isogrid Lattice Composite Structure Cylinders. International Journal of Engineering, Science and Technology. 2013, vol. 5, no. 1, pp. 42—54.
  6. Krasovskiy V.L. Kachestvo tonkostennykh tsilindrov i puskovye mekhanizmy ikh vypuchivaniya pri prodol'nom szhatii [Quality of Thin-Walled Cylinders and Starting Mechanisms of their Buckling in Case of longitudinal compression]. Theoretical Foundations of Civil Engineering. Polish — Ukrainian Transactions. Warsaw, 2002, vol. II, pp. 696—715.
  7. Fan H., Jin F., Fang D. Uniaxial Local Buckling Strength of Periodic Lattice Composites. Materials and Design. 2009, vol. 30, no. 10, pp. 4136—4145. DOI: http://dx.doi.org/10.1016/j.matdes.2009.04.034.
  8. Krasovsky V.L., Varianichko M.A., Nagorny D.V. Static Resonance Phenomena of Thin Walled Cylindrical Shells. Stability of Structures : 10th Symposium, Zakopane, 8—12.09.2003. Pp. 227—234.
  9. Rychkov S.P. Modelirovanie konstruktsiy v srede MSC.visualNASTRAN dlya Windows [Structural Modeling in MSC.visualNASTRAN Environment for Windows]. Moscow, NT Press, 2004, 552 p.
  10. Forde B.W.R., Stiemer S.F. Improved Arc Length Orthogonality Methods for Nonlinear Finite Element Analysis. Computers & Structures. 1987, vol. 27, no. 5, pp. 625—630. DOI: http://dx.doi.org/10.1016/0045-7949(87)90078-2.
  11. Fafard M., Massicotte B. Geometrical Interpretation of the Arc-length Method. Computers & Structures. 1993, vol. 46, no. 4, pp. 603—615. DOI: http://dx.doi.org/10.1016/0045-7949(93)90389-U.
  12. Rust W., Kracht M., Overberg J. Experiences with ANSYS in Ultimate-Load Analyses of Aircraft Fuselage Panels. Proceedings of the 2006 International ANSYS Conference. Pittsburgh, 2006. Available at: http://www.ansys.com/staticassets/ANSYS/staticassets/resourcelibrary/confpaper/2006-Int-ANSYS-Conf-228.pdf. Date of access: 23.04.2014.
  13. Cardoso R.P.R., Yoon J.W., Valente R.A.F., Gracio J.J., Simoes F., Alves de Sousa R.J.A Nonlinear Kinematic Hardening Model for the Simulation of Cyclic Loading Paths in Anisotropic Aluminum Alloy Sheets. VIII International Conference on Computational Plasticity, COMPLAS VIII, CIMNE, Barcelona, Spain, 2005. Available at: http://congress.cimne.com/complas05/admin/Files/FilePaper/p52.pdf. Date of access: 23.04.2014.
  14. Barlat F., Brem J.C., Yoon J.W., Chung K., Dick R.E., Lege D.J., Pourboghrat F., Choi S.-H., Chu E. Plane Stress Yield Function for Aluminum Alloy Sheets-part 1: Theory. Int. J. Plasticity. 2003, vol. 19, no. 9, pp. 1297—1319. DOI: http://dx.doi.org/10.1016/S0749-6419(02)00019-0.
  15. Simo J.C., Hughes T.J.R. Computational Inelasticity. Springer-Verlag New York, 1997, 393 p.
  16. Zernin M.V., Babin A.P., Mishin A.V., Burak V.Yu. Modelirovanie kontaktnogo vzaimodeystviya s ispol'zovaniem polozheniy mekhaniki «kontaktnoy psevdosredy» [Simulation of Contact Interaction through the Provisions of the Mechanics «Pseudo-contact»]. Vestnik Bryanskogo gosudarstvennogo tekhnicheskogo universitetata [Proceedings of Bryansk State Technical Unversity]. 2007, no. 4 (16), pp. 62—72.

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EXPERIMENTAL RESEARCH INTO THE INFLUENCE PRODUCED BY PROCESS-RELATED AND STRUCTURAL PARAMETERSON THE BEARING CAPACITY OF METAL BEAMS WITH CORRUGATED WEBS

Vestnik MGSU 2/2013
  • Zubkov Vladimir Aleksandrovich - Samara State University of Architecture and Civil Engineering (SSUACE) Candidate of Technical Sciences, Professor, Department of Steel and Timber Structures, 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 .
  • 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 .

Pages 37-46

The article covers the experimental research into corrugated web beams exposed to the concentrated static load that has varied values of the width of load exposure. The authors describe the methodology of the experiment, instruments and machines involved in it, as well as the findings of the tests.Six beams with sinusoidal webs were selected for testing purposes. The beams were 6, 9 and 12 m long, and their cross sections were 500, 750 and 1,250 mm long. All beams were tested as single-span simply supported structures with hinged rigidly or loosely fixed supports.Beam tests have demonstrated that any failure to adhere to the beam manufacturing technology may seriously affect the load-bearing capacity of a beam. Any deviation of longitudinal axis flanges of beams from the longitudinal axis of a corrugated web in excess of 3 mm adversely affects the bearing capacity of beams and contributes to the overall beam stability loss.The research findings have demonstrated that the limit state of tested beams arises due to the stress in the web corrugation.

DOI: 10.22227/1997-0935.2013.2.37-46

References
  1. Azhermachev G.A. Ob ustoychivosti volnistoy stenki pri deystvii sosredotochennoy nagruzki [On Stability of a Wavy Wall Exposed to the Concentrated Load]. Izvestiya vuzov. Stroitel’stvo i arkhitektura [News of Higher Education Institutions. Construction and Architecture]. Novosibirsk, 1963, no. 3, pp. 50—53.
  2. Baranovskaya S.G. Prochnost’ i ustoychivost’ gofrirovannoy stenki stal’noy dvutavrovoy balki v zone prilozheniya sosredotochennykh sil [Strength and Stability of the Corrugated Steel Web I-beam Exposed to Concentrated Forces]. Novosibirsk, 1990, 18 p.
  3. Biryulev V.V., Ostrikov G.M., Maksimov Yu.S., Baranovskaya S.G. Mestnoe napryazhennoe sostoyanie gofrirovannoy stenki dvutavrovoy balki pri lokal’noy nagruzke [Local Stress State of the Corrugated Web of I-beams Exposed to the Local Load]. Izvestiya vuzov. Stroitel’stvo i arkhitektura [News of Higher Education Institutions. Construction and Architecture]. Novosibirsk, 1989, no. 11, pp. 11—13.
  4. Krylov I.I., Kretinin A.N. Effektivnye balki iz tonkostennykh profiley [Effective Thin-walled Beams]. Izvestiya vuzov. Stroitel’stvo. [News of Higher Education Institutions. Construction]. Novosibirsk, 2005, no. 6, pp. 11—14.
  5. Laznyuk M.V. Balki z tonkoyu poperechno gofrovanoyu st³nkoyu pri d³¿ statichnogo navantazhennya [Beams with a Thin Transversely Corrugated Web Exposed to the Static Load]. Kiev, 2006, 18 p.
  6. Stepanenko A.N. Issledovanie raboty metallicheskikh balok s tonkimi gofrirovannymi stenkami pri staticheskom zagruzhenii [Research into Behaviour of Thin-walled Corrugated Web Metal Beams Exposed to Static Loading]. Sverdlovsk, 1972, 20 p.
  7. 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 Education Institutions. Construction and Architecture]. Novosibirsk, 1970, no. 1, pp. 31—35.
  8. Pichugin S.F., Chichulina K.V. Eksperimental’n³ dosl³dzhennya balok z prof³l’ovanoyu st³nkoyu [Experimental Researches into Beams with Profiled Surfaces]. Visnik DNABA [Proceedings of Donbas National Academy of Civil Engineering and Architecture]. 2009, no. 4 (78), pp. 161—165.
  9. Pasternak H., Kubieniec G. Plate Girders with Corrugated Webs. Journal of Civil Engineering and Management. 2010, no. 16 (2), pp. 166—171.
  10. Gao J., Chen B.C. Experimental Research on Beams with Tubular Chords and Corrugated Webs. Tubular Structures XII. Proceedings of Tubular Structures XII. Shanghai, China, 8—10 October 2008, pp. 563—570.

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STABILITY OF TRUNCATED CIRCULAR CONICAL SHELL EXPOSED TO AXIAL COMPRESSION

Vestnik MGSU 10/2012
  • Litvinov Vladimir Vital'evich - Rostov State University of Civil Engineering (RGSU) Director, Laboratory of Department of Strength of Materials, 8 (863) 201-91-36, Rostov State University of Civil Engineering (RGSU), 162 Sotsialisticheskaya St., Rostov-Don, 344022, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Andreev Vladimir Igorevich - Moscow State University of Civil Engineering (National Research University) (MGSU) Doctor of Technical Sciences, Professor, corresponding member of Russian Academy of Architecture and Construction Sciences, chair, Department of Strength of Materials, Moscow State University of Civil Engineering (National Research University) (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Chepurnenko Anton Sergeevich - Don State Technical University (DGTU) Candidate of Engineering Science, teaching assistant of the strength of materials department, Don State Technical University (DGTU), 162 Sotsialisticheskaya str., Rostov-on-Don, 344022; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 95 - 101

The problem of stability of a freely supported truncated circular conical shell, compressed by the upper base of a uniformly distributed load per unit length , referred to the median shell surface and directed along the generatrix of the cone, was solved by the Ritz-Timoshenko energy method. The orthogonal system of curvilinear coordinates of the points of the middle surface of the shell was adopted to solve the problem. Possible displacements were selected in the form of double series approximation functions. The physical principle of inextensible generatrix of the cone exposed to buckling at the moment of instability was employed. In addition, the fundamental principle of continuum mechanics, or the principle of minimal total potential energy of the system, was taken as the basis. According to the linear elasticity theory, energy methods make it possible to replace the solution of complex differential equations by the solution of simple linear algebraic equations. As a result, the problem is reduced to the problem of identifying the eigenvalues in the algebraic theory of matrices. The numerical value of the critical load was derived through the employment of the software.

DOI: 10.22227/1997-0935.2012.10.95 - 101

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