A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
Minimum cost design of RC frames using the DCOC method. Part II: columns under biaxial bending actions
(Continued from 10 (95) 1, page 16-32). Based on the general problem formulation and optimality criteria developed in Part I of this paper, a numerical procedure is developed to solve the minimum cost design of reinforced concrete (RC) frames in which the columns are subjected to biaxial bending actions. The costs to be minimized involve those of concrete, reinforcing steel and formwork. The design constraints include limits on maximum deflection at the nodes in a specified span, flexural and shear strength in beams and biaxial bending of columns in accordance with the requirements of CEB/FIB (1990). Following the actual construction practice of these structures with regard to ease of supervision, uniformity and economy in the preparation of formwork and its supporting structures, the cross-sections of the columns in each storey are grouped and allowed to assume one constant value, as are the cross-sections of the beams in the same storey. However, as the design actions in each column of the same group cannot assume a constant value, the steel ratio of each column is permitted to vary freely. In order to account for the variation of the forces along the span of the beams, each beam was discretized into four elements and the steel ratio allowed to assume a different value in each element. Practical problems are solved to demonstrate the usefulness of the procedure. The CPU time necessary for the solution of each problem shows that the DCOC-based algorithm is indeed very efficient.
Minimum cost design of RC frames using the DCOC method. Part II: columns under biaxial bending actions
(Continued from 10 (95) 1, page 16-32). Based on the general problem formulation and optimality criteria developed in Part I of this paper, a numerical procedure is developed to solve the minimum cost design of reinforced concrete (RC) frames in which the columns are subjected to biaxial bending actions. The costs to be minimized involve those of concrete, reinforcing steel and formwork. The design constraints include limits on maximum deflection at the nodes in a specified span, flexural and shear strength in beams and biaxial bending of columns in accordance with the requirements of CEB/FIB (1990). Following the actual construction practice of these structures with regard to ease of supervision, uniformity and economy in the preparation of formwork and its supporting structures, the cross-sections of the columns in each storey are grouped and allowed to assume one constant value, as are the cross-sections of the beams in the same storey. However, as the design actions in each column of the same group cannot assume a constant value, the steel ratio of each column is permitted to vary freely. In order to account for the variation of the forces along the span of the beams, each beam was discretized into four elements and the steel ratio allowed to assume a different value in each element. Practical problems are solved to demonstrate the usefulness of the procedure. The CPU time necessary for the solution of each problem shows that the DCOC-based algorithm is indeed very efficient.
Minimum cost design of RC frames using the DCOC method. Part II: columns under biaxial bending actions
Minimalkosten-Auslegung von Stahlbetonrahmen mit Hilfe der DCOC-Methode. Teil 2: Säulen unter Biegung in Richtung zweier Achsen
Adamu, A. (author) / Karihaloo, B.L. (author)
Structural Optimization ; 10 ; 33-39
1995
7 Seiten, 5 Bilder, 5 Tabellen
Article (Journal)
English
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