Steel and Composite Structures

  • 제7권1호
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  • Pages.53-70
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  • 2007
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  • 1229-9367(pISSN)
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  • 1598-6233(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Bicriteria optimal design of open cross sections of cold-formed thin-walled beams

  • Ostwald, M. (Institute of Applied Mechanics, Poznan University of Technology) ;
  • Magnucki, K. (Institute of Applied Mechanics, Poznan University of Technology) ;
  • Rodak, M. (Institute of Applied Mechanics, Poznan University of Technology)
  • 투고 : 2005.11.01
  • 심사 : 2006.10.16
  • 발행 : 2007.02.25
⟨ 이전 논문 다음 논문 ⟩

초록

This paper presents a analysis of the problem of optimal design of the beams with two I-type cross section shapes. These types of beams are simply supported and subject to pure bending. The strength and stability conditions were formulated and analytically solved in the form of mathematical equations. Both global and selected types of local stability forms were taken into account. The optimization problem was defined as bicriteria. The cross section area of the beam is the first objective function, while the deflection of the beam is the second. The geometric parameters of cross section were selected as the design variables. The set of constraints includes global and local stability conditions, the strength condition, and technological and constructional requirements in the form of geometric relations. The optimization problem was formulated and solved with the help of the Pareto concept of optimality. During the numerical calculations a set of optimal compromise solutions was generated. The numerical procedures include discrete and continuous sets of the design variables. Results of numerical analysis are presented in the form of tables, cross section outlines and diagrams. Results are discussed at the end of the work. These results may be useful for designers in optimal designing of thin-walled beams, increasing information required in the decision-making procedure.

키워드

참고문헌

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  2. Evaluating the connecting members of cold-formed steel structures in reconstruction of earthquake-prone areas in Iran using the AHP methods vol.52, pp.4, 2013, https://doi.org/10.1016/j.aej.2013.07.007
  3. Evaluating the construction methods of cold-formed steel structures in reconstructing the areas damaged in natural crises, using the methods AHP and COPRAS-G vol.12, pp.3, 2012, https://doi.org/10.1016/j.acme.2012.06.015
  4. Elastic Buckling of Cold-Formed Thin-Walled Channel Beams with Drop Flanges vol.136, pp.7, 2010, https://doi.org/10.1061/(ASCE)ST.1943-541X.0000184
  5. Buckling and optimal design of cold-formed thin-walled beams: Review of selected problems vol.49, pp.5, 2011, https://doi.org/10.1016/j.tws.2010.09.011
  6. Theoretical shape optimization of cold-formed thin-walled channel beams with drop flanges in pure bending vol.65, pp.8-9, 2009, https://doi.org/10.1016/j.jcsr.2009.03.010
  7. Multicriteria optimization of cold-formed thin-walled beams with generalized open shape under different loads vol.65, 2013, https://doi.org/10.1016/j.tws.2013.01.002