Proceedings of the Korea Concrete Institute Conference (한국콘크리트학회:학술대회논문집)
- 1996.10a
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- Pages.440-446
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- 1996
Optimum Design of Reinforced Concrete Continuous Beams using DCOC
이산성 연속형 최적규준(DCOC)방법에 의한 RC연속보의 최적설계
Abstract
In this study, a procedure for the economic design of reinforced concrete beams under several design constraints is outlined on the basis of discretized continuum-type optimality criteria (DCOC). The costs to be minimized involve those of concrete, reinforcing steel and formwork. The design constraints include limits on the maximum deflection in a given span, on bending and shear strengths, in addition to upper and lower bounds on design variables. An explicit mathematical derivation of optimality criteria is given based on the well known Kuhn-Tucker mecessary conditions, followed by an iterative procedure for designs when the design variables are the depth and the steel ratio. Self-weight of the spans is also included in the equilibrium equation of the real system and in the optimatlity criteria.
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