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Steel in Translation

, Volume 48, Issue 3, pp 149–153 | Cite as

Elastoplastic Flexure of Round Steel Beams. 1. Springback Coefficient

  • V. N. Shinkin
Article
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Abstract

Round steel beams are widely used in metallurgy, manufacturing, and construction. It is often irreplaceable in the production of machines and mechanical equipment on account of its excellent corrosion resistance and remarkable strength. Cylindrical springs for road and railroad vehicles are manufactured from round beams by means of special bending machines. Round beams also serve as blanks in the production of seamless pipe for the oil and gas industry. Stepped round beams are used as rollers in rolling and straightening mills. Steel rebar is manufactured from round beams of similar size. Outside Russia, the main producers of continuous-casting machines for the production of round billet are SMS Demag (Germany), Danieli (Italy), SMS Concast (Switzerland), and Siemens VAI (Austria). Russian producers include AO Chusovskii Metallurgicheskii Zavod, PAO Chelyabinskii Metallurgicheskii Kombinat, AO Volzhskii Trunbnyi Zavod, OAO Nizhneserginskii Metizno-Metallurgicheskii Zavod, AO Chepetskii Mekhanicheskii Zavod, PAO Severskii Trubnyi Zavod, and PAO Taganrogskii Metallurgicheskii Zavod. In the manufacture of parts from round beams and their use, they often experience elastic or elastoplastic flexure or complex torsion and flexure. In the present work, we propose an analytical method of calculating the residual curvature of round steel beams in elastoplastic flexure. In the calculations, the residual curvature of the round beam after flexure and the bending moments of the beam cross section in flexure are determined as a function of the beam radius, the Young’s modulus, the yield point, and the hardening modulus of the steel. The results may be widely used at manufacturing and metallurgical plants.

Keywords

round steel beams beam curvature beam cross section bending moment springback coefficient residual strain normal stress relative elongation elastic modulus hardening modulus elastoplastic medium linear hardening 

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References

  1. 1.
    Banabic, D., Multiscale Modeling in Sheet Metal Forming, New York: Springer, 2016.CrossRefGoogle Scholar
  2. 2.
    Banabic, D., Sheet Metal Forming Processes: Constitutive Modeling and Numerical Simulation, New York: Springer, 2010.CrossRefGoogle Scholar
  3. 3.
    Belskiy, S.M., Yankova, S., Chuprov, V.B., Bakhaev, K.V., and Stoyakin, A.O., Temperature field of stripes under hot rolling, J. Chem. Technol. Metall., 2015, vol. 50, no. 6, pp. 613–616.Google Scholar
  4. 4.
    Belskiy, S., Mazur, I., Lezhnev, S., and Panin, E., Distribution of linear pressure of thin-sheet rolling across strip width, J. Chem. Technol. Metall., 2016, vol. 51, no. 4, pp. 371–378.Google Scholar
  5. 5.
    Belskiy, S.M., Yankova, S., Mazur, I.P., and Stoyakin, A.O., Influence of the transversal displacements of metal on the camber formation of hot-rolled strip, J. Chem. Technol. Metall., 2017, vol. 52, no. 4, pp. 672–678.Google Scholar
  6. 6.
    Belskiy, S.M., Parameters of evaluation of shape cross section of hot-rolled steel strips. Message 1. The determination coefficient, Chern. Met., 2017, no. 10, pp. 65–70.Google Scholar
  7. 7.
    Bhattacharyya, D., Composite Sheet Forming, Amsterdam: Elsevier, 1997, vol. 11.Google Scholar
  8. 8.
    Calladine, C.R., Plasticity for Engineers: Theory and Applications, Amsterdam: Elsevier, 2000.CrossRefGoogle Scholar
  9. 9.
    Chakrabarty, J., Theory of Plasticity, Amsterdam: Elsevier, 2006.Google Scholar
  10. 10.
    Chakrabarty, J., Applied Plasticity, New York: Springer-Verlag, 2010.Google Scholar
  11. 11.
    Davim, J.P., Tribology in Manufacturing Technology, New York: Springer, 2013.CrossRefGoogle Scholar
  12. 12.
    Davim, J.P., Materials Forming and Machining: Research and Development, Amsterdam: Elsevier, 2015.Google Scholar
  13. 13.
    Dixit, U.S., Hazarika, M., and Davim, J.P., A Brief History of Mechanical Engineering, New York: Springer-Verlag, 2017.CrossRefGoogle Scholar
  14. 14.
    Dixit, P.M. and Dixit, U.S., Modeling of Metal Forming and Machining Processes by Finite Element and Soft Computing Methods, New York: Springer, 2008.Google Scholar
  15. 15.
    Shinkin, V.N., Calculation of steel sheet’s curvature for its flattening in the eight-roller straightening machine, Chern. Met., 2017, no. 2, pp. 46–50.Google Scholar
  16. 16.
    Shinkin, V.N., Calculation of bending moments of steel sheet and support reactions under flattening on the eight-roller straightening machine, Chern. Met., 2017, no. 4, pp. 49–53.Google Scholar
  17. 17.
    Shinkin, V.N., Asymmetric three-roller sheet-bending systems in steel-pipe production, Steel Transl., 2017, vol. 47, no. 4, pp. 235–240.CrossRefGoogle Scholar
  18. 18.
    Shinkin, V.N., Failure of large-diameter steel pipe with rolling scabs, Steel Transl., 2017, vol. 47, no. 6, pp. 363–368.CrossRefGoogle Scholar
  19. 19.
    Shinkin, V.N., Simplified calculation of the bending torques of steel sheet and the roller reaction in a straightening machine, Steel Transl., 2017, vol. 47, no. 10, pp. 639–644.CrossRefGoogle Scholar
  20. 20.
    Frank, V., Lecture Notes in Production Engineering, NewYork: Springer, 2013.Google Scholar
  21. 21.
    Qin, Y., Micromanufacturing Engineering and Technology, Amsterdam: Elsevier, 2015.Google Scholar
  22. 22.
    Hingole, R.S., Advances in Metal Forming: Expert System for Metal Forming, New York: Springer, 2015.CrossRefGoogle Scholar
  23. 23.
    Hu, J., Marciniak, Z., and Duncan, J., Mechanics of Sheet Metal Forming, London: Butterworth-Heinemann, 2002.Google Scholar
  24. 24.
    Kang, S.-J.L., Sintering: Densification, Grain Growth and Microstructure, Amsterdam: Elsevier, 2004.Google Scholar
  25. 25.
    Muhin, U., Belskij, S., and Makarov, E., Simulation of accelerated strip cooling on the hot rolling mill run-out roller table, Fratt. Integrita Strutturale, 2016, vol. 37, pp. 305–311.Google Scholar
  26. 26.
    Muhin, U., Belskij, S., and Makarov, E., Application of between-stand cooling in the production hot-rolled strips, Fratt. Integrita Strutturale, 2016, vol. 37, pp. 312–317.Google Scholar
  27. 27.
    Muhin, U. and Belskij, S., Study of the influence between the strength of antibending of working rolls on the widening during hot rolling of thin sheet metal, Fratt. Integrita Strutturale, 2016, vol. 37, pp. 318–324.Google Scholar
  28. 28.
    Shabalov, I.P., Solov’ev, D.M., Filippov, G.A., and Livanova, O.V., Influence of UOshaping on the mechanical properties of large-diameter electrowelded pipe, Steel Transl., 2015, vol. 45, no. 4, pp. 287–292.CrossRefGoogle Scholar
  29. 29.
    Lenard, J.G., Metal Forming Science and Practice, Amsterdam: Elsevier, 2002.Google Scholar
  30. 30.
    Lim, Y., Venugopal, R., and Ulsoy, A.G., Process Control for Sheet-Metal Stamping Process Modeling, Controller Design and Stop-Floor Implementation, New York: Springer, 2014.CrossRefGoogle Scholar
  31. 31.
    Lin, J., Balint, D., and Pietrzyk, M., Microstructure Evolution in Metal Forming Processes, Amsterdam: Elsevier, 2012.CrossRefGoogle Scholar
  32. 32.
    Shinkin, V.N., Calculation of technological parameters of O-forming press for manufacture of large-diameter steel pipes, CIS Iron Steel Rev., 2017, vol. 13, pp. 33–37.CrossRefGoogle Scholar
  33. 33.
    Shinkin, V.N., Mathematical model of technological parameters’ calculation of flanging press and the formation criterion of corrugation defect of steel sheet’s edge, CIS Iron Steel Rev., 2017, vol. 13, pp. 44–47.CrossRefGoogle Scholar
  34. 34.
    Shinkin, V.N., Springback coefficient of the main pipelines’ steel large-diameter pipes under elastoplastic bending, CIS Iron Steel Rev., 2017, vol. 14, pp. 28–33.CrossRefGoogle Scholar
  35. 35.
    Shinkin, V.N., Arithmetical method of calculation of power parameters of 2N-roller straightening machine under flattening of steel sheet, CIS Iron Steel Rev., 2017, vol. 14, pp. 22–27.CrossRefGoogle Scholar
  36. 36.
    Klocke, F., Manufacturing Processes 1: Cutting, Berlin: Springer, 2011.CrossRefGoogle Scholar
  37. 37.
    Klocke, F., Manufacturing Processes 4. Forming, Berlin: Springer, 2013.CrossRefGoogle Scholar
  38. 38.
    Nielsen, C.V., Zhang, W., Alves, L.M., Bay, N., and Martins, P., Modeling of thermo-electro-mechanical processes, in Applications in Metal Forming and Resistance Welding, New York: Springer, 2013.Google Scholar
  39. 39.
    Predeleanu, M. and Gilormini, P., Advanced Methods in Materials Processing Defects, Amsterdam: Elsevier, 1997, vol. 45.Google Scholar
  40. 40.
    Groshkova, A.L., Polulyakh, L.A., Travyanov, A.Ya., Dashevskii, V.Ya., and Yusfin, Yu.S., Phosphorus distribution between phases in smelting high-carbon ferromanganese in the blast furnace, Steel Transl., 2007, vol. 37, no. 11, pp. 904–907.CrossRefGoogle Scholar
  41. 41.
    Podgorodetskii, G.S., Yusfin, Yu.S., Sazhin, A.Yu., Gorbunov, V.B., and Polulyakh, L.A., Production of generator gas from solid fuels, Steel Transl., 2015, vol. 45, no. 6, pp. 395–402.CrossRefGoogle Scholar
  42. 42.
    Orelkina, O.A., Petelin, A.L., and Polulyakh, L.A., Distribution of secondary gas emissions around steel plants, Steel Transl., 2015, vol. 45, no. 11, pp. 811–814.CrossRefGoogle Scholar
  43. 43.
    Polulyakh, L.A., Dashevskii, V.Ya., and Yusfin, Yu.S., Manganese-ferroalloy production from Russian manganese ore, Steel Transl., 2014, vol. 44, no. 9, pp. 617–624.CrossRefGoogle Scholar
  44. 44.
    Predeleanu, M. and Ghosh, S.K., Materials Processing Defects, Amsterdam: Elsevier, 1995, vol. 43.Google Scholar
  45. 45.
    Rees, D., Basic Engineering Plasticity: An Introduction with Engineering and Manufacturing Applications, Oxford: Butterworth-Heinemann, 2006.Google Scholar
  46. 46.
    Wilko, C.E., Formability: A Review of Parameters and Processes that Control, Limit or Enhance the Formability of Sheet Metal, New York: Springer, 2011.Google Scholar

Copyright information

© Allerton Press, Inc. 2018

Authors and Affiliations

  1. 1.Moscow Institute of Steel and AlloysMoscowRussia

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