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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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ONE-PARAMETRIC DETERMINATIONOF UNIFORM PLASTIC STRAIN FOR STANDARD STEELS

Vestnik MGSU 6/2013
  • Gustov Yuriy Ivanovich - Moscow State University of Civil Engineering (MGSU) Doctor of Technical Sciences, Professor, Department of Machinery, Machine Elements and Process Metallurgy, Moscow State University of Civil Engineering (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation; +7 (499) 183-94-95; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Allattouf Hassan Lattouf - Moscow State University of Civil Engineering (MGSU) postgraduate student, Department of Mechanic Equip- ment, Details of Machines and Technology of Metals, 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 57-62

One-parametric dependence of the uniform elongation on the total elongation is tested on the basis of preliminary studies. It makes it possible to assess static and cyclic parameters of steel forgings with the thickness values up to 500—800 mm, although no time-consuming and labour-intensive experiments are needed.The total elongation consists of uniform and concentrative components. The uniform elongation corresponds to the maximum loading value attained in the process of static tension testing. The special feature and the advantage of this feature is its independence from the shape of samples exposed to testing procedures. This feature is employed to determine the per-unit performance of plastic strain of steel in terms of brittle failure and fatigue resistance of metals. The uniform elongation correlates with the elasticity used to evaluate the cold brittleness of metal materials. Thus, the assessment of the uniform plastic deformation is needed to make an educated choice of materials and analyze the conditions of processing industrial and structural steels.

DOI: 10.22227/1997-0935.2013.6.57-62

References
  1. Gustov Yu.I., Gustov D.Yu., Bol’shakov V.I. Prochnostno-plasticheskaya indeksatsiya metallicheskikh materialov [Strength and Plasticity Indexing of Metal Materials]. Metallurgiya i gornorudnaya promyshlennost’ [Metallurgy and Mining Industry]. 1996, no. 3-4, pp. 31—33.
  2. Balandin V.A., Potapov V.N., Yakovleva V.S. Otsenivat’ rabotosposobnost’ konstruktsiy po ravnomernomu otnositel’nomu udlineniyu staley [Assessment of Performance of Structures on the Basis of Uniform Relative Elongation of Steels]. Promyshlennoe stroitel’stvo [Industrial Engineering]. 1976, no. 11, pp.37—38.
  3. Matt K. Zeitschrift f?r Metallkunde. 1962. Bd. 53, H4.
  4. Borisova S.A. Vliyanie termotsiklicheskoy obrabotki na rabotosposobnost’ desyati konstruktsionnykh staley [Influence of Thermal-cycle Treatment on Performance of Ten Grades of Structural Steel]. Materialovedenie i metallurgiya [Material Science and Metallurgy]. Trudy NGTU [Works of Nizhegorodsky State University of Technology]. Nizhny Novgorod, NGTU Publ., 2004, vol. 42, pp. 220—224.
  5. Skudnov V.A., Lovkov A.V. Vzaimosvyaz’ predela ustalosti s kriteriyami razrusheniya sinergetiki staley [Interrelation between Fatigue Point and Criteria for Destruction of Steel Synergetics]. Materialovedenie i metallurgiya [Material Science and Metallurgy]. Trudy NGTU [Works of Nizhegorodsky State University of Technology]. Nizhny Novgorod, NGTU Publ., 2004, vol. 42, pp. 119—123.
  6. Gustov Yu.I., Allattuf H. Sinergeticheskie kriterii staley standartnykh kategoriy prochnosti [Synergetic Criteria of Steels Having Standard Grades of Strength]. Mekhanizatsiya stroitel’stva [Mechanization of Construction Operations]. 2013, no.2, pp. 24—27.
  7. Korobko V.I. Zolotaya proportsiya i problemy garmonii sistem [Golden Proportion and Problems of Harmony of Systems]. Izdatel’stvo ASV Stran SNG Publ., 373 p.
  8. Ivanova V.S., Balankin A.S., Bunin I.Zh., Oksogoev A.A. Sinergetika i fraktaly v materialovedenii [Synergy and Fractals in Material Science]. Moscow, Nauka Publ., 1994, 383 p.
  9. Skudnov V.A. Zakonomernosti predel’noy udel’noy energii deformatsii – osnovnoy sinergeticheskoy (kooperativnoy) kharakteristiki razrusheniya i rabotosposobnosti metallov [Regularities of Limit Per-unit Energy of Deformation as the Principal Synergetic (Cooperative) Destruction and Performance-related Characteristic of Metals]. Trudy NGTU. Materialovedenie i metallurgiya. [Works of Nizhegorodsky State University of Technology. Material Science and Metallurgy]. Nizhny Novgorod, 2004, vol. 94, 101 p.
  10. Tylkin M.A. Spravochnik termista remontnoy sluzhby [Reference Book for a Heat Treater of the Repair Service]. Moscow, Metallurgiya Publ., 1981, 647 p.

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