ELASTOPLASTIC BEND OF ROUND STEEL BEAM. REPORT 1. SPRINGBACK COEFFICIENT
https://doi.org/10.17073/0368-0797-2018-3-194-200
Abstract
The round steel beam is widely used in metallurgy, mechanical engineering, construction and is one of the major players in the engine industry. Having the excellent anti-corrosion properties, combined with a remarkable strength, the round steel beam is often indispensable in the production of the various mechanical machines and devices. The cylindrical springs for the railway and motor transport are made from the round beam with the help of the special bending machines. Billets from the round beam are also used in the metallurgy at the manufacture of seamless pipes for the oil and gas industry. The rollers of the sheet-straightening machines and rolling mills in metallurgy have the form of stepped round beam. The steel construction armature is made from the round beam and is close to it by geometric dimensions. The main foreign producers of continuous-casting-billets machines for production of round-cross-section blanks are SMS-Demag (Germany), Danieli (Italy), SMS Concast (Switzerland) and Siemens VAI (Austria). The modern production of round steel beam has place on many Russian metallurgical plants, for example, on JSC “Chusovskoy metallurgical plant”, PJSC “Chelyabinsk metallurgical plant”, JSC “Volzhsky pipe plant”, OJSC “Nizhneserginsky metizno-metallurgical plant”, JSC “Chepetsky mechanical plant”, PJSC “Seversky pipe plant” and PJSC “Taganrog metallurgical plant”. In manufacture of articles from round beam and under their exploitation, they often have an elastic or elastoplastic deformation of bending or have a complex deformation of torsion with bending. The analytical method for determining residual curvature of round steel beam under elastoplastic bend is proposed in this paper. The calculations allow us to determine residual curvature of round beam after bending and the bending moments of beam’s cross section at bending depending on the beam’ radius, elastic modulus, yield stress and hardening modulus of beam’s metal. The research results can be widely used at engineering and metallurgical plants.
About the Author
V. N. ShinkinRussian Federation
Dr. Sci. (Phys.-Math.), Professor of the Chair of Physics
References
1. Banabic D. Multiscale modeling in sheet metal forming. Springer, 2016, 405 p.
2. Banabic D. Sheet metal forming processes. Constitutive modelling and numerical simulation. Springer, 2010, 301 p.
3. Belskiy S.M., Yankova S., Chuprov V.B., Bakhaev K.V., StoyakinA.O. Temperature field of stripes under hot rolling. Journal of Chemical Technology and Metallurgy. 2015, vol. 50, no. 6, pp. 613–616.
4. Belskiy S., Mazur I., Lezhnev S., Panin E. Distribution of linear pressure of thin-sheet rolling across strip width. Journal of Chemical Technology and Metallurgy. 2016, vol. 51, no. 4, pp. 371–378.
5. Belskiy S.M., Yankova S., Mazur I.P., Stoyakin A.O. Influence of the transversal displacements of metal on the camber formation of hot-rolled strip. Journal of Chemical Technology and Metallurgy. 2017, vol. 52, no. 4, pp. 672–678.
6. Belskiy S.M. Parameters of evaluation of shape cross section of hot-rolled steel strips. Message 1. The determination coefficient. Chernye Metally. 2017, no. 10, pp. 65–70.
7. Bhattacharyya D. Composite sheet forming. Vol. 11. Elsevier Science, 1997, 530 p.
8. Calladine C.R. Plasticity for engineers. Theory and applications. Woodhead Publishing, 2000, 328 p.
9. Chakrabarty J. Theory of plasticity. Butterworth-Heinemann, 2006, 896 p.
10. Chakrabarty J. Applied plasticity. Springer, 2010, 758 p.
11. Davim J.P. Tribology in manufacturing technology. Springer, 2013, 198 p.
12. Davim J.P. Materials Forming and Machining. Research and Development. Woodhead Publishing, 2015, 202 p.
13. Dixit U.S., Hazarika M., Davim J.P. A brief history of mechanical engineering. Springer, 2017, 178 p.
14. Dixit P.M., Dixit U.S. Modeling of metal forming and machining processes by finite element and soft computing methods. Springer, 2008, 590 p.
15. Shinkin V.N. Calculation of steel sheet’s curvature for its flattening in the eight-roller straightening machine. Chernye Metally. 2017, no. 2, pp. 46–50.
16. Shinkin V.N. Calculation of bending moments of steel sheet and support reactions under flattening on the eight-roller straightening machine. Chernye Metally. 2017, no. 4, pp. 49–53.
17. Shinkin V.N. Asymmetric three-roller sheet-bending systems in steel-pipe production. Steel in Translation. 2017, vol. 47, no. 4, pp. 235–240.
18. Shinkin V.N. Failure of large-diameter steel pipe with rolling scabs. Steel in Translation. 2017, vol. 47, no. 6, pp. 363–368.
19. Shinkin V.N. Simplified calculation of the bending torques of steel sheet and the roller reaction in a straightening machine. Steel in Translation. 2017, vol. 47, no. 10, pp. 639–644.
20. Frank V. Lecture notes in production engineering. Springer, 2013, 211 p.
21. Qin Y. Micromanufacturing engineering and technology. William Andrew, 2015, 858 p.
22. Hingole R.S. Advances in metal forming. Expert system for metal forming. Springer, 2015, 116 p.
23. Hu J., Marciniak Z., Duncan J. Mechanics of Sheet Metal Forming. Butterworth-Heinemann, 2002, 211 p.
24. Kang S.-J. Sintering. Densification, grain growth and microstructure. Butterworth-Heinemann, 2004, 280 p.
25. Muhin U., Belskij S., Makarov E. Simulation of accelerated strip cooling on the hot rolling mill run-out roller table. Frattura ed Integrita Strutturale. 2016, vol. 37, pp. 305–311.
26. Muhin U., Belskij S., Makarov E. Application of between-stand cooling in the production hot-rolled strips. Frattura ed Integrita Strutturale. 2016, vol. 37, pp. 312–317.
27. Muhin U., Belskij S. Study of the influence between the strength of antibending of working rolls on the widening during hot rolling of thin sheet metal. Frattura ed Integrita Strutturale. 2016, vol. 37, pp. 318–324.
28. Shabalov I.P., Solov’ev D.M., Filippov G.A., Livanova O.V. Influence of UO shaping on the mechanical properties of large-diameter electrowelded pipe. Steel in Translation. 2015, vol. 45, no. 4, pp. 287–292.
29. Lenard J.G. Metal Forming Science and Practice. Elsevier Science, 2002, 378 p.
30. Lim Y., Venugopal R., Ulsoy A.G. Process control for sheet-metal stamping process modeling, controller design and stop-floor implementation. Springer, 2014, 140 p.
31. Lin J., Balint D., Pietrzyk M. Microstructure evolution in metal forming processes. Woodhead Publishing, 2012, 416 p.
32. Shinkin V.N. Calculation of technological parameters of O-forming press for manufacture of large-diameter steel pipes. CIS Iron and Steel Review. 2017, vol. 13, pp. 33–37.
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 and Steel Review. 2017, vol. 13, pp. 44–47.
34. Shinkin V.N. Springback coefficient of the main pipelines’ steel large-diameter pipes under elastoplastic bending. CIS Iron and Steel Review. 2017, vol. 14, pp. 28–33.
35. Shinkin V.N. Arithmetical method of calculation of power parameters of 2N-roller straightening machine under flattening of steel sheet. CIS Iron and Steel Review. 2017, vol. 14, pp. 22–27.
36. Klocke F. Manufacturing processes 1. Cutting. Springer, 2011, 506 p.
37. Klocke F. Manufacturing processes 4. Forming. Springer, 2013, 516 p.
38. Nielsen C.V., Zhang W., Alves L.M., Bay N., Martins P. Modeling of thermo-electro-mechanical processes. Applications in metal forming and resistance welding. Springer, 2013, 120 p.
39. Predeleanu M., Gilormini P. Advanced methods in materials processing defects. Vol. 45. Elsevier Science, 1997, 422 p.
40. Groshkova A.L., Polulyakh L.A., Travyanov A.Ya., Dashevskii V. Ya., Yusfin Yu.S. Phosphorus distribution between phases in smelting high-carbon ferromanganese in the blast furnace. Steel in Translation. 2007, vol. 37, no. 11, pp. 904–907.
41. Podgorodetskii G.S., Yusfin Yu.S., Sazhin A.Yu., Gorbunov V.B., Polulyakh L.A. Production of generator gas from solid fuels. Steel in Translation. 2015, vol. 45, no. 6, pp. 395–402.
42. Orelkina O.A., Petelin A.L., Polulyakh L.A. Distribution of secondary gas emissions around steel plants. Steel in Translation. 2015, vol. 45, no. 11, pp. 811–814.
43. Polulyakh L.A., Dashevskii V.Ya., Yusfin Yu.S. Manganese-ferroalloy production from Russian manganese ore. Steel in Translation. 2014, vol. 44, no. 9, pp. 617–624.
44. Predeleanu M., Ghosh S.K. Materials processing defects. Vol. 43. Elsevier Science, 1995, 434 p.
45. Rees D. Basic engineering plasticity. An introduction with engineering and manufacturing applications. Butterworth-Heinemann, 2006, 528 p.
46. Wilko C.E. Formability. A review of parameters and processes that control, limit or enhance the formability of sheet metal. Springer, 2011, 112 p.
Review
For citations:
Shinkin V.N. ELASTOPLASTIC BEND OF ROUND STEEL BEAM. REPORT 1. SPRINGBACK COEFFICIENT. Izvestiya. Ferrous Metallurgy. 2018;61(3):194-200. (In Russ.) https://doi.org/10.17073/0368-0797-2018-3-194-200