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철근콘크리트 T 형보의 최적설계를 위한 DCOC 적용 및 GUI 개발
한상훈,조홍동,신연근 충북대학교 건설기술연구소 2000 建設技術論文集 Vol.19 No.2
This paper describes the minimum-cost design of R.C. continuous T-beams involving costs of concrete, reinforcing steel and formwork, subject to deflection and strength constraints, in addition to upper and lower bounds on design variables. The optimization is carried out using the methods based on discretized continuum-type optimality criteria (DCOC). An explicit mathematical derivation of optimality criteria is given based on the well known Kuhn-Tucker necessary conditions, followed by an iterative procedure for designs when the design variables are the effective depth and the steel ratio. It is assumed that the section is uniform along the span. The self-weight of the beam is included in the equilibrium equation of the real system and in the optimality criteria. On the basis of these contents, the user interactive system using pull-down menu and pop-up windows is developed for the problem of minimum cost design of R.C. continuous T-beam. Through applying GUI to minimum cost design problem, practice designer can easily perform optimum design and use optimum design as preliminary design. A numerical examples of R.C. continuous beams using GUI is given to compare and assess the efficiency of algorithm for the DCOC-based technique.