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DESIGNING AND DETAILING OF BUILDING SYSTEMS. MECHANICS IN CIVIL ENGINEERING

The features of behaviour of a thin-walled cold-formed C-purlin

Vestnik MGSU 10/2014
  • Tusnina Ol’ga Aleksandrovna - 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 64-74

Nowadays thin-walled cold-formed profiles are widely used as bearing structures of buildings. The features of these profiles are little thickness and complicated cross-section shape. These features influence the behaviour of the structures made of cold-formed profiles. It is an often situation that we can not apply load directly on the element in the shear center due to its complicated shape and boundary conditions, such as support fixation. Thus, the purlin experiences a combined action of bending and restraint torsion. Besides, the distortion of purlin occurs and in this case the Vlasov’s theory of thin-walled elastic beams is not applicable. In this paper the analysis of cold-formed C-purlin is considered. The results of physically and geometrically nonlinear analysis are represented. The components of the stress state of purlin are determined. An estimation of the influence of cross-section distortion on the angles of rotation about longitudinal axis of purlin is done. The buckling analysis according to Russian standards SNiP was done.

DOI: 10.22227/1997-0935.2014.10.64-74

References
  1. Mezentseva E.A., Lushnikov S.D. Bystrovozvodimye zdaniya iz legkikh stalnykh konstruktsiy [Prefabricated Buildings of Light Steel Structures]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2009, Special issue, no. 1, pp. 62—64. (in Russian)
  2. Vatin N.I., Sinel’nikov A.S. Bolsheproletnye nadzemnye peshekhodnye perekhody iz legkogo kholodnognutogo stal’nogo profilya [Long Span Footway Bridges: Cold-Formed Steel Cross-Section]. Stroitel’stvo unikal’nykh zdaniy i sooruzheniy [Construction of Unique Buildings and Structures]. 2012, no. 1, pp. 47—53. (in Russian)
  3. Ayrumyan E.L. Osobennosti rascheta stal’nykh konstruktsiy iz tonkostennykh gnutykh profiley [The Features of the Analysis of Thin-Walled Cold-Formed Steel Structures]. Montazhnye i spetsial’nye raboty v stroitel’ste [Erecting and Special Works in Construction]. 2008, no. 3, pp. 2—7. (in Russian)
  4. Ayrumyan E.L., Belyy G.I. Issledovanie raboty stal’noy fermy iz kholodnognutykh profiley s uchetom ikh mestnoy i obshchey ustoychivosti [A Study of Steel Cold-Formed Profiles of Trusses with Regard to Their Local and General Stability]. Promyshlennoe i grazhdanskoe stroitel’stvo [Industrial and Civil Engineering]. 2010, no. 5, pp. 41—44. (in Russian)
  5. Yu C., Schafer B.W. Distortional Buckling Tests on Cold-Formed Steel Beams. Journal of Structural Engineering. 2006, vol. 132, no. 4, pp. 515—528.
  6. Tusnin A.R., Tusnina O.A. Vychislitel’naya sistema «STAL’KON» dlya rascheta i proektirovaniya sterzhnevykh konstruktsiy iz tonkostennykh sterzhney otkrytogo profilya [Computing System "STALKON" for Analysis and Design of Lattice Structures of Thin-walled Rods of Open Profile]. Promyshlennoe i grazhdanskoe stroitel’stvo [Industrial and Civil Engineering]. 2012, no. 8, pp. 62—65. (in Russian)
  7. Vatin N.I., Rybakov V.A. Raschet metallokonstruktsiy — sed’maya stepen’ svobody [An Analysis of Metal Structures — the Seventh Degree of Freedom]. StroyPROFIl" [Construction Profile]. 2007, no. 2 (56), pp. 60—63. (in Russian)
  8. Heinisuo M., Liukkonen V.-P., Tuomala M. New Beam Element Including Distortion. Nordic Steel Construction Conference 95, Malmö, Sweden, June 19—21. Swedish Institute of Steel Construction, 1995, Publication 150, vol. I, pp. 65—72.
  9. Gordeeva A.O., Vatin N.I. Raschetnaya konechno-elementnaya model’ kholodnognutogo perforirovannogo tonkostennogo sterzhnya v programmno-vychislitel’nom kom-plekse SCAD Office [Finite Element Calculation Model of Thin-Walled Cold-Formed Profile in Software Package SCAD Office]. Inzhenerno-stroitel’nyy zhurnal [Engineering and Construction Journal]. 2011, no. 3 (21), pp. 36—46. (in Russian)
  10. Lalin V.V., Rybakov V.A., Morozov S.A. Issledovanie konechnykh elementov dlya rascheta tonkostennykh sterzhnevykh sistem [The Finite Element Research for Calculation of Thin-Walled Bar Systems]. Inzhenerno-stroitel’nyy zhurnal [Engineering and Construction Journal]. 2012, no. 1 (27), pp. 53—73. (in Russian)
  11. Lalin V.V., Rybakov V.A. Konechnye elementy dlya rascheta ograzhdayushchikh konstruktsiy iz tonkostennykh profiley [Creating the Finite Elements of Thin-Walled Beams for Design of Light Steel Constructions]. Inzhenerno-stroitel’nyy zhurnal [Engineering and Construction Journal]. 2011, no. 8 (26), pp. 69—80. (in Russian)
  12. Selyantsev I., Tusnin A. The Influence of Cross-Section Shape Changing on Work of Thin-Walled Cold-Formed Steel Beam. Proceedings of the METNET Seminar 2011 in Aarhus. HAMK University of Applied Science, Einland, 2011, pp. 143—148.
  13. Yu C., Schafer B.W. Distortional Buckling of Cold-Formed Steel Members in Bending. Final report. AISI. Baltimore, January 2005, 386 p.
  14. Chu X.T., Ye Z.M., Li L.Y., Kettle R. Local and Distortional Buckling of Cold-Formed Zed-Sections Beams under Uniformly Distributed Transverse Loads. International Journal of Mechanical Sciences. 2006, vol. 48, pp. 378—388. DOI: http://dx.doi.org/10.1016/j.ijmecsci.2005.11.005.
  15. Chu X.T., Ye Z.M., Li L.Y., Kettle R. Buckling Behaviour of Cold-Formed Channel Sections under Uniformly Distributed Loads. Thin-Walled Structures. 2005, vol. 43, no. 4, pp. 531—542.
  16. Pavazza R., Blagojevic B. On the Cross-Section Distortion of Thin-Walled Beams with Multi-Cell Cross-Sections Subjected to Bending. International Journal of Solids and Structures. 2005, vol. 42, no. 3—4, pp. 901—925. DOI: http://dx.doi.org/10.1016/j.ijsolstr.2004.06.036.
  17. Silvestre N., Camotim D. Distortional Buckling Formulae for Cold-Formed Steel C- and Z-Section Members: Part I — Derivation. Thin-Walled Structures. 2004, vol. 42, no. 11, pp. 1567—1597.
  18. Silvestre N., Camotim D. Distortional Buckling Formulae for Cold-Formed Steel C- and Z-Section Members: Part II — Validation and Application. Thin-walled Structures. 2004, vol. 42, no. 11, pp. 1599—1629.
  19. Silvestre N., Camotim D. On the Mechanics of Distortion in Thin-Walled Open Sections. Thin-walled Structures. 2010, vol. 48, no. 7, pp. 469—481. DOI: http://dx.doi.org/10.1016/j.tws.2010.02.001.
  20. Vieira L.C.M., Malite M., Schafer B.W. Simplified Models for Cross-Section Stress Demands on C-Section Purlins in Uplift. Thin-walled Structures. 2010, vol. 48, no. 1, pp. 33—41. DOI: http://dx.doi.org/10.1016/j.tws.2009.07.009.
  21. Wang X.P., Lam S.S.E., Chung K.F. Cross-section Distortion due to Cutting of Cold-Formed Steel Lipped C-Section. Thin-walled Structures. 2006, vol. 44, no. 3, pp. 271—280. DOI: http://dx.doi.org/10.1016/j.tws.2006.03.007
  22. Vlasov V.Z. Tonkostennye uprugie sterzhni [Thin-walled Elastic Beams]. Moscow, Fizmatgiz Publ., 1959, 574 p. (in Russian)

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Calculation of spiral turbine cases according to the equations of flow caused by vortex discharge - circle

Vestnik MGSU 11/2015
  • Mikhaylov Ivan Evgrafovich - Moscow State University of Civil Engineering (National Research University) (MGSU) Doctor of Technical Sciences, Professor, Department of Hydraulics and Water Resources, Moscow State University of Civil Engineering (National Research University) (MGSU), ; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Alisultanov Ramidin Semedovich - Moscow State University of Civil Engineering (National Research University) (MGSU) postgraduate student, Assistant Lecturer, Department of Engineering Geodesy, Moscow State University of Civil Engineering (National Research University) (MGSU), ; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 142-156

The authors considered the issues of spiral turbine cases calculation with the help of the equations of fluid flow line of a potential flow induced by vortex discharge-circle situated on an infinite impenetrable cylinder in infinite space filled with ideal (nonviscous) fluid and the characteristics of the flow in spiral cases. It was established that: 1) the stated equations allow calculating the spiral cases, which differ in constructive parameters and the direction of the flow at the entry to the stator of the turbine; 2) slope angle of spiral cones and the direction of the flow at the entry into the stator significantly influence the dimensions of the spiral case; 3) the shape of the cross-sections of the spiral differs from the T-shaped and circle ones usually applied today; 4) the height of the cross-sections is greater than their width. This difference grows in the direction from the entry section to the tooth of the spiral case; 5) the dimensions of the calculated spiral cases are smaller than the dimensions of the cases with round cross sections and bigger than the ones with T shape. It was stated that the theoretical characteristics of the floe formed by spiral case calculated according to the equations of the potential flow induced by vortex discharge-circle situated on an infinite impenetrable cylinder are in good agreement with the experimental characteristics and are favourable for flow-around of stay vanes and guide vanes of turbines.

DOI: 10.22227/1997-0935.2015.11.142-156

References
  1. Mikhaylov I.E., Alisultanov R.S. Vikhrevoy stok — okruzhnost’, raspolozhennyy na beskonechnom nepronitsaemom tsilindre [Vortex Discharge — Circle Situated on Infinite Impenetrable Cylinder]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2015, no. 10, pp. 153—161. (In Russian)
  2. Mikhaylov I.E., Alisultanov R.S. Stok — okruzhnost’, raspolozhennyy na poverkhnosti ili vnutri beskonechnogo nepronitsaemogo tsilindra [Discharge — Circle Situated on the Surface or Inside an Infinite Impermeable Cylinder]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2015, no. 8, pp. 140—149. (In Russian)
  3. Mikhaylov I.E. Turbinnye kamery gidroelektrostantsiy [Turbine Cases of HPPs]. Moscow, Energiya Publ., 1970, 272 p. (In Russian)
  4. Menter F.R. Two-Equation Eddy-Viscosity Turbulence Models for Engineering Applications. AIAA J. 1994, vol. 32, no. 8, pp. 1598—1605. DOI: http://dx.doi.org/10.2514/3.12149
  5. Rusanov A.V., Kos’yanov D.Yu., Sukhorebryy P.N., Khorev O.N. Chislennoe issledovanie prostranstvennogo vyazkogo techeniya zhidkosti v spiral’noy kamere osevoy gidroturbiny [Numerical Investigation of Space Viscous Liquid Flow in a Spiral Case of an Axial Flow Turbine]. Vostochno-Evropeyskiy zhurnal peredovykh tekhnologiy [Eastern-European Journal of Enterprise Technologies]. 2010, vol. 5, no. 7, pp. 33—36. (In Russian)
  6. Rusanov A.V., Kos’yanov D.Yu. Chislennoe modelirovanie techeniy vyazkoy neszhimaemoy zhidkosti s ispol’zovaniem neyavnoy kvazimonotonnoy skhemy Godunova povyshennoy tochnosti [Numerical Modelling of the Flows of a Viscous Incompressible Fluid Using Implicit Quasimotor Godunov Scheme of an Extended Precision]. ]. Vostochno-Evropeyskiy zhurnal peredovykh tekhnologiy [Eastern-European Journal of Enterprise Technologies]. 2009, vol. 5, no. 4, pp. 4—7. (In Russian)
  7. Tao Jiang, Kezhen Huang. The Numerical Simulation of Gas Turbine Inlet-Volute Flow Field. World Journal of Mechanics. 2013, vol. 3 (04), pp. 230—235. DOI: http://dx.doi.org/10.4236/wjm.2013.34023.
  8. Shi F. and Tsukamoto H. Numerical Study of Pressure Fluctuations Caused by Impeller-Diffuser Interaction Diffuser Pump Stage. ASME Journal of Fluid Engineering. 2001, vol. 123 (3). DOI: http://dx.doi.org/10.1115/1.1385835.
  9. Wu K.Q. and Huang J. Numerical Analysis of the Fan Volute Internal Vortex Flow. Engineering Thermophysics. 2001, vol. 22, no. 3, pp. 316—319.
  10. Pfau A., Treiber M., Sell M., Gyarmathy G. Flow Interaction from the Exit Cavity of an Axial Turbine Blade Row Labyrinth Seal. Journal of Turbomachinery. 2001, vol. 123 (2), pp. 342—352. DOI: http://dx.doi.org/10.1115/1.1368124
  11. Schlienger J., Pfau A., Kalfas A.I., Abhari R.S. Single Pressure Transducer Probe for 3D Flow Measurements. 16 Symposium on Measurement Technology in Turbomachinery, 24—25.9.2002. Cambridge, 2002, 8 p.
  12. Rusch D., Pfau A., Schlienger J., Kalfas A.I., Abhari R.S. Deterministic Unsteady Vorticity Field in a Driven Axisymmetric Cavity Flow. Accepted at the 12th International Conference on Fluid Flow Technologies, September 3—6, 2003, Budapest, Hungary. 2003.
  13. Bubenchikov A.M., Korobitsyn V.A., Korobitsyn D.V., Kotov P.P., Shokin Yu.I. Chislennoe modelirovanie osesimmetrichnykh razryvnykh potentsial’nykh mnogosvyaznykh techeniy neszhimaemoy zhidkosti [Numerical Modeling of Axisymmetric Noncontinuous Potential Multiple Connected Flows of Incompressible Fluids]. Zhurnal vychislitel’noy matematiki i matematicheskoy fiziki [Computational Mathematics and Mathematical Physics]. 2014, vol. 54, no. 7, pp. 1194—1202. (In Russian)
  14. Vaynshteyn I.I., Litvinov P.S. Model‘ M. A. Lavrent‘eva o skleyke vikhrevykh i potentsial‘nykh techeniy ideal‘noy zhidkosti [The Model of M. A. Lavrentiev on Adhesion of Vortex and Potential Flows]. Vestnik Sibirskogo gosudarstvennogo aerokosmicheskogo universiteta im. akademika M.F. Reshetneva [Vestnik SibSAU. Aerospace Technologies and Control Systems]. 2009, no. 3 (24), pp. 7—9. (In Russian)
  15. Vaynshteyn I.I., Fedotova I.M. Zadacha Gol’dshtika o skleyke vikhrevykh techeniy ideal’noy zhidkosti v osesimmetricheskom sluchae [Goldshtick Problem on Adhesion of Vortex Flows of an Ideal Fluid in Axisymmetric Case]. Vestnik Sibirskogo gosudarstvennogo aerokosmicheskogo universiteta im. akademika M.F. Reshetneva [Vestnik SibSAU. Aerospace Technologies and Control Systems]. 2014, no. 3 (55), pp. 48—54. (In Russian)
  16. Yan H.J., Hu D.M. and Li J. Numerical Simulation of Flow Field for Horizontal-Axis Wind Turbine Rotor. Journal of Shanghai University of Electric Power. 2010, vol. 26, no. 2, pp. 123—126.
  17. Yang C.Z., Liu H.C. and Zhou Y.L. The Design of Horizontal Axis Wind Turbine Blades and the Analysis of Flow Field Based on CFD. Journal of Northeast Dianli University. 2010, vol. 30, no. 1, pp. 21—26.
  18. Zhang D.H., Li W., Lin Y.G., Ying Y. and Yang C.J. Simulation of Generation System of Marine Current Turbine with Pressure-Maintaining Storage Based on Hydraulic Transmission. Automation of Electric Power Systems. 2009, vol. 33, no. 7, pp. 70—74.
  19. Berend G., van der Wall, Richard H. Analysis Methodology for 3C-PIV Data of Rotary Wing Vortices. Experiments in Fluids. 2006, vol. 40, no. 5, pp. 798—812. DOI: http://dx.doi.org/10.1007/s00348-006-0117-x.
  20. Badie R., Jonker J.B., Van Den Braembussche R.A. Finite Element Calculations and Experimental Verification of the Unsteady Potential Flow in a Centrifugal Volute Pump. International Journal for Numerical Methods in Fluids, vol. 19 (12), pp. 1083—1102. DOI: http://dx.doi.org/10.1002/fld.1650191203.

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DESIGN OF STRUCTURAL ELEMENTS IN THE EVENT OF THE PRE-SET RELIABILITY, REGULAR LOAD AND BEARING CAPACITY DISTRIBUTION

Vestnik MGSU 10/2012
  • Tamrazyan Ashot Georgievich - Moscow State University of Civil Engineering (National Research University) (MGSU) Doctor of Technical Sciences, Professor, full member, Russian Engineering Academy, head of the directorate, 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 .

Pages 109 - 115

Accurate and adequate description of external influences and of the bearing capacity of the structural material requires the employment of the probability theory methods. In this regard, the characteristic that describes the probability of failure-free operation is required. The characteristic of reliability means that the maximum stress caused by the action of the load will not exceed the bearing capacity.
In this paper, the author presents a solution to the problem of calculation of structures, namely, the identification of reliability of pre-set design parameters, in particular, cross-sectional dimensions. If the load distribution pattern is available, employment of the regularities of distributed functions make it possible to find the pattern of distribution of maximum stresses over the structure.
Similarly, we can proceed to the design of structures of pre-set rigidity, reliability and stability in the case of regular load distribution. We consider the element of design (a monolithic concrete slab), maximum stress which depends linearly on load . Within a pre-set period of time, the probability will not exceed the values according to the Poisson law.
The analysis demonstrates that the variability of the bearing capacity produces a stronger effect on relative sizes of cross sections of a slab than the variability of loads. It is therefore particularly important to reduce the coefficient of variation of the load capacity. One of the methods contemplates the truncation of the bearing capacity distribution by pre-culling the construction material.

DOI: 10.22227/1997-0935.2012.10.109 - 115

References
  1. Lychev A.S. Sposoby vychisleniya veroyatnosti otkaza v kompozitsii raspredeleniy prochnosti i nagruzki [Methods of Calculation of the Probability of Failure within the Framework of the Distribution of Strength and Load]. Trudy mezhdunarodnoy nauchno-tekhnicheskoy konferentsii [Collected works of the international scientific and technical conference]. Samara, 1997, pp. 33—37.
  2. Tichy M. In the Reliability Measure. Struct. Safety. 1988, vol. 5, pp. 227—232.
  3. Araslanov A.S. Raschet elementov konstruktsiy zadannoy nadezhnosti pri sluchaynykh vzaimodeystviyakh [Calculation of Structural Elements with the Pre-set Reliability If Exposed to Random Interactions]. Moscow, 1986, 268 p.
  4. Tamrazyan A.G. Otsenka riska i nadezhnosti nesushchikh konstruktsiy i klyuchevykh elementov — neobkhodimoe uslovie bezopasnosti zdaniy i sooruzheniy [Assessment of Risk and Reliability of Bearing Structures and Key Elements as the Necessary Condition of Safety of Buildings and Structures]. Vestnik TsNIISK [Bulletin of Central Research and Development Institute of Building Structures]. 2009, no. 1, pp. 160—171.
  5. JSO/TK 98 ST 2394. General Principles on Reliability for Structures. 1994, pp. 50.
  6. Rayzer V.D. Teoriya nadezhnosti v stroitel’nom proektirovanii [Theory of Reliability in Structural Design]. Moscow, ASV Publ., 1998, 304 p.

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