Optimal design of shape and reinforcement for concrete sections
Research Group
Grupo de Investigación de Optimización Estructural (GOE)Knowledge Area
Mecánica de Medios Continuos y Teoría de EstructurasPublication date
1998-06Publisher
Centro Internacional de Métodos Numéricos en Ingeniería (CIMNE)Bibliographic Citation
TORRANO MARTÍNEZ, Manuel Santiago y MARTÍ MONTRULL, Pascual. Optimal design of shape and reinforcement for concrete sections. En: World Congress on Computational Mechanics (4th : 1998 : Buenos Aires, Argentina) Computational mechanics : new trends and applications. Barcelona: Centro Internacional de Métodos Numéricos en Ingeniería. Junio 1998. Pp. 13. ISBN 84-89925-15-1Keywords
Cargas axialesFlexión biaxial
Hormigón armado
Diseño óptimo
Forma de optimización
Secciones de hormigón
Axial loads
Bending biaxial
Reinforced concrete
Optimal design
Shape optimization
Concrete sections
Abstract
This document presents a procedure for the optimal design of reinforced concrete sections of general shapes subject to a biaxial bending. The optimal design problem is formulated as a non-linear mathematical programming problem. The problem is formulated so that time-consuming searches for the precise location of the neutral axis are avoided through intermediate steps of the optimization process. There are three kinds of design variables: geometry variables, reinforcement variables and location of the neutral axis variables. The objective function is the cost of a structural member per unit length. There are three kinds of constraints: strength constraints, minimal amount of steel constraints and bound constraints.
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