Steel and Composite Structures

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MINLP optimization of a composite I beam floor system

  • Zula, Tomaz (University of Maribor, Faculty of Civil Engineering, Transportation Engineering and Architecture) ;
  • Kravanja, Stojan (University of Maribor, Faculty of Civil Engineering, Transportation Engineering and Architecture) ;
  • Klansek, Uros (University of Maribor, Faculty of Civil Engineering, Transportation Engineering and Architecture)
  • Received : 2016.05.09
  • Accepted : 2016.11.15
  • Published : 2016.12.10
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Abstract

This paper presents the cost optimization of a composite I beam floor system, designed to be made from a reinforced concrete slab and steel I sections. The optimization was performed by the mixed-integer non-linear programming (MINLP) approach. For this purpose, a number of different optimization models were developed that enable different design possibilities such as welded or standard steel I sections, plastic or elastic cross-section resistances, and different positions of the neutral axes. An accurate economic objective function of the self-manufacturing costs was developed and subjected to design, resistance and deflection (in)equality constraints. Dimensioning constraints were defined in accordance with Eurocode 4. The Modified Outer-Approximation/Equality-Relaxation (OA/ER) algorithm was applied together with a two-phase MINLP strategy. A numerical example of the optimization of a composite I beam floor system, as presented at the end of this paper, demonstrates the applicability of the proposed approach. The optimal result includes the minimal produced costs of the structure, the optimal concrete and steel strengths, and dimensions.

Keywords

Acknowledgement

Supported by : Ministry of Higher Education, Science and Technology of the Republic of Slovenia

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