Optimum design of reinforced concrete rectangular columns subjected to axial compression and biaxial bending moments

Mohammad, F.A. ORCID: 0000-0001-6955-4261 and Seyan, D.A., 2015. Optimum design of reinforced concrete rectangular columns subjected to axial compression and biaxial bending moments. ATINER'S Conference Paper Series (1710). ISSN 2241-2891

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Abstract

This study investigates the optimum design in terms of minimum cost of reinforced concrete rectangular columns subjected to axial compression force and biaxial bending moments about x and y axes. For the optimisation process, the Generalised Reduced Gradient (GRG) technique was implemented which is embedded within Excel Solver add-in tool. GRG method was adopted because of its robustness and efficiency in dealing with a wide range of engineering problems as demonstrated by several works available in the literature. GRG is regarded as one of the best deterministic local optimisation methods. Equally important, the GRG is part and parcel of Microsoft Excel which means that there is no need to pay for extra licence to run any optimisation problem. The formulated models for the design of reinforced concrete columns and the imposed constraints were based on the provisions of Eurocode 2 (EC2). The design variables were the cross sectional dimensions (width and depth) and reinforcing steel area. It is worthwhile to mention that the position and orientation of neutral axis were also considered as design variables in order to avoid solving the highly nonlinear simultaneous equations which is time consuming and not necessarily leading to a convergent solution. Several design parameters, such as materials cost ratios and depth to width ratios were tested. Consequently, optimum design charts were developed for a wide range of practical combination of axial compression forces and eccentricities in both x and y directions. Following a comprehensive investigation of the minimum cost problems carried out for different cases, one can conclude that variation of depth to width ratio may have noticeable effect on the optimum width, depth and area of steel only when the eccentricity in y direction (ey) is much greater than the eccentricity in x direction (ex). Furthermore, the effect of steel to concrete unit cost ratio (Cs/Cc) is more obvious at larger loads and higher eccentricities.

Item Type: Journal article
Description: ATINER'S Conference Paper Series, No: CIV2015-1710
Publication Title: ATINER'S Conference Paper Series
Creators: Mohammad, F.A. and Seyan, D.A.
Publisher: Athens Institute for Education and Research
Date: 2015
Number: 1710
ISSN: 2241-2891
Divisions: Schools > School of Architecture, Design and the Built Environment
Depositing User: Linda Sullivan
Date Added: 26 Feb 2016 14:46
Last Modified: 09 Jun 2017 13:59
URI: http://irep.ntu.ac.uk/id/eprint/27060

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