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• W2076828844 abstract "We present a mixed-integer nonlinear programming (MINLP) formulation to achieve minimum-cost designs for reinforced concrete (RC) structures that satisfy building code requirements. The objective function includes material and labor costs for concrete, steel reinforcing bars, and formwork according to typical contractor methods. Restrictions enforce correct geometry of the cross-section dimensions for each element and relative sizes of cross-section dimensions of elements within the structure. Other restrictions define a stiffness and displacement correlation among all structural elements via finite element analysis. The design of minimum cost RC structures introduces a new class of optimization problems, namely, mixed-integer nonlinear programs with complementarity constraints. The complementarity constraints are used to model RC element strength and American Concrete Institute code-required safety factors. We reformulate the complementarity constraints as nonlinear equations and show that the resulting ..." @default.
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• W2076828844 date "2011-07-01" @default.
• W2076828844 modified "2023-09-26" @default.
• W2076828844 title "Concrete Structure Design using Mixed-Integer Nonlinear Programming with Complementarity Constraints" @default.
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• W2076828844 doi "https://doi.org/10.1137/090778286" @default.
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