Selection of Reinforcement Steel Bars with Markovian Weldability Distribution against their Boron Content

Authors(2) :-Kizito Paul Mubiru, Christopher Senfuka

Deciding the functional suitability of reinforcement steel bars for welding operations has a dependence on boron content especially if such bars are made from recycled steel. In this study, a mathematical model is developed to optimize the selection decision of recycled steel bars from steel manufacturers considering a Markovian weldability distribution since the boron distribution in steel is predominantly random. In the given model, a building/fabrication contractor intends to select one of two manufacturers of recycled steel bars basing on the weldability of steel as determined by their boron content selected in equal monthly intervals. A Markov decision process approach is adopted where five states of a Markov chain represent possible states of weldability for steel bars. The boron content is minimized in order to achieve maximum weldability capacity where the decision to select the best steel is made using dynamic programming over a finite period planning horizon. A numerical example demonstrates the existence of an optimal state-dependent selection decision and boron composition over the planning horizon.

Authors and Affiliations

Kizito Paul Mubiru
Department of Mechanical and Production Engineering, Kyambogo University, Kampala Uganda
Christopher Senfuka
Department of Mechanical and Production Engineering, Kyambogo University, Kampala Uganda

Boron, Reinforcement Bar, Weldability, Markovian

  1. Carl E, Coniglio N., Schempp P., and Mousavi M., 2011.Critical Conditions for Weld Solidification Crack Growth, Springer-Verlag Berlin Heidelberg.
  2. Ginzburg, Vladimir B.; Ballas, Robert, 2000, Flat rolling fundamentals, CRC Press, pp. 141–142, ISBN 9780824788940.
  3. Grange, R., Hribal, C., Porter, L., 1977. Hardness of tempered martensite in carbon and low alloy steels. Metallurgical Transactions A, Vol. 8, Issue 11, 1977, pp.1775-1785.
  4. Ito Y, Bessyo K, 1968.               Weldability formula of high strength steels related to heat affected zone cracking', Published by the International Institute of Welding, 1968, Doc IX-576-68.5
  5. Jyoti P., Tewari S. and Bipin K., 2012.Weldability and Special Characteristics of Mild Steel.Indian Journal of Research ISSN 0973.
  6. Saeed N. Ghali, Hoda S., El-Faramawy, 2012. Influence of Boron Additions on Mechanical Properties of Carbon Steel, Journal of Minerals and Materials Characterization and Engineering, 2012, 11, 995-999.19
  7. Senfuka C., Kirabira J.B, Byaruhanga J.K., 2013. Thermo-Mechanically Treated Bars Made from Recycled Steel in Uganda’. IJET UK Publications, ISSN-2049-3444, vol. 3 No. 2, Feb., 2013.2
  9. Tupkary R.H, Tupkary V.R., 2008. An Introduction to Modern Steel Making, pp.412-420, Khamma Publishers, Delhi.
  10. Yurioka N, 1990, Carbon equivalents for hardenability and cold cracking susceptibility of steels', Select Conference on Hardenability of Steels, Derby, UK, 17 May 1990, Paper 3.7

Publication Details

Published in : Volume 1 | Issue 5 | September-October 2015
Date of Publication : 2015-10-25
License:  This work is licensed under a Creative Commons Attribution 4.0 International License.
Page(s) : 264-275
Manuscript Number : IJSRSET151517
Publisher : Technoscience Academy

Print ISSN : 2395-1990, Online ISSN : 2394-4099

Cite This Article :

Kizito Paul Mubiru, Christopher Senfuka , " Selection of Reinforcement Steel Bars with Markovian Weldability Distribution against their Boron Content, International Journal of Scientific Research in Science, Engineering and Technology(IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 1, Issue 5, pp.264-275, September-October-2015.
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