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Minimum cost plastic design of steel beams using Eurocode 3

  • Structural Engineering
  • Published:
KSCE Journal of Civil Engineering Aims and scope

Abstract

This paper presents a model for minimum cost plastic design of steel beams according to the Eurocode3 (EC3). The objective function comprises material cost and fabrication costs. The constraint functions are set to meet design requirements of Eurocode3 (EC3). They consist on plastic bending resistance constraints, plastic vertical shear resistance, design constraints derived from Eurocode3 (EC3), deflection due to both dead and live loads and current practices rules.The minimum cost plastic design process is developed through the use of the Generalized Reduced Gradient (GRG) algorithm. Two numerical examples are given to illustrate the applicability of the proposed model. The optimized results are compared to traditional design solutions from conventional design office methods to evaluate the performance of the developed cost model. Substantial savings were achieved through this approach. In addition, this study shows the difference between steel beams optimized for minimum cost and minimum weight. The proposed approach is practically simple, reliable and computationally effective compared to classical designs procedures used by designers and engineers.

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References

  • Das, A. and Miltra, S. (2003). “Minimum weight elastic design of rigid portal frames.” IE J, Vol. 84, pp. 130–135.

    Google Scholar 

  • Davis, L. (2010). Spon’s Architects’ and Builders’ Price Book 2011, 136th ed. Taylor & Francis Ltd.

  • Eurocode 3. (2005). Design of steel structures, Part 1.1: General rules and rules for buildings, European Comitee for Standardization. EN 1994-1-1; Brussels, Belgium.

  • Fedghouche, F. and Tiliouine, B. (2012). “Minimum cost design of reinforced concrete T-beams at ultimate loads using Eurocode 2.” Engineering Structures, Vol. 42, pp. 43–50, DOI: 10.1016/j.engstruct. 2012.04.008.

    Article  Google Scholar 

  • Haapio, J. and Heinisuo, M. (2010). “Minimum cost steel beam using semi-rigid joints.” Journal of Structural Mechanics, Vol. 43, No. 1, pp. 1–11.

    Google Scholar 

  • Jarmai, K. (2002). “Design, fabrication and economy.” European Integration Studies, Vol. 1, No. 2, pp. 91–107.

    Google Scholar 

  • Jarmai, K. and Farkas, J. (2008). Desig, fabrication and economy of welded structures: International conference Proceedings, Woodhead Publishing.

    Book  Google Scholar 

  • Jiang, P., Zhu, M., and Xu, L. J. (2012). “An optimization algorithm for minimizing weight of the composite beam.” Adv. in Intelligent and Soft Comput., Vol. 135, pp. 769–775.

    Article  Google Scholar 

  • Kravanja, S. and Ula, T. (2010). “Cost optimization of industrial steel building structures.” Advances in Engineering Software, Vol. 41, No. 1, pp. 442–450, DOI: 10.1016/j.advengsoft.2009.03.005.

    Article  MATH  Google Scholar 

  • Lovasy, L. and Scarf, H. E. (1992). “The generalized basis reduction algorithm.” Mathematics of Operations Research, Vol. 17, No. 3, pp. 751–764, DOI: 10.1287/moor.17.3.751.

    Article  MathSciNet  MATH  Google Scholar 

  • Nocedal, J. and Wright, S. J. (2006). Numerical Optimization, Second edition, Springer Verlag, NewYork.

    MATH  Google Scholar 

  • Pavlovcic, L., Krajnc, A., and Beg, D. (2004). “Cost function analysis in the structural optimization of steel frames.” Struct. Multidisc. Optim., Vol. 28, pp. 286–295, DOI: 10.1007/s00158-004-0430-z.

    Article  Google Scholar 

  • Pavlovcic, L., Matsuo, A., Nakamura, Y., and Shimizu, K. (2004). “Minimum aseismic design of steel frames considering the collapse mechanism and cumulative damage constraints.” Proc., 13thWorld Conference on Earthquake Engineering, Vancouver August 1-6, Canada, paper No. 27.

    Google Scholar 

  • Pratt, D. J. (2011). Fundamentals of construction estimating, 3rd ed, Delmar Cengage Learning, Australia.

    Google Scholar 

  • Sarma, K.C. and Adeli, H. (2000). “Fuzzy discrete multicriteria cost optimization of steel structures.” J. Struct. Eng., Vol. 126, No. 11, pp.1339–1347, DOI: 10.1061/(ASCE)0733-9445(2000)126:11(1339).

    Article  Google Scholar 

  • Shon, S., Yoo, M., Kang, J., and Lee, S. (2015). “Minimum weight design of sinusoidal corrugated web beam using differential evolution algorithm.” International Journal of steel Structures, Vol. 15, No. 1, pp. 213–225, DOI: 10.1007/s13296-015-3016.

    Article  Google Scholar 

  • Yeniay, O. (2005). “A comparative study on optimization methods for the constrained nonlinear programming problems.” Mathematical Problems in Engineering, Vol. 2005, No. 2, pp. 165–173, DOI: 10.1155/MPE.2005.165.

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Laboratoire des Travaux Publics ingénierie de Transport et Environnement (LTPiTE), Département Infrastructures de Base (DIB), École Nationale Supérieure des Travaux Publics (ENSTP), 1, Rue Sidi Garidi, B.P.32 Vieux Kouba, 16051, Alger, Algérie

    Ferhat Fedghouche

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  1. Ferhat Fedghouche
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Correspondence to Ferhat Fedghouche.

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Fedghouche, F. Minimum cost plastic design of steel beams using Eurocode 3. KSCE J Civ Eng 22, 629–636 (2018). https://doi.org/10.1007/s12205-017-0546-5

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  • DOI: https://doi.org/10.1007/s12205-017-0546-5

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