Sensitivity analysis and optimum design curves for the minimum cost design of singly and doubly reinforced concrete beams

Journal article


Ceranic, Boris and Fryer, Colin 2000. Sensitivity analysis and optimum design curves for the minimum cost design of singly and doubly reinforced concrete beams. Structural and Multidisciplinary Optimization. https://doi.org/10.1007/s001580050156
AuthorsCeranic, Boris and Fryer, Colin
Abstract

This paper reports on the application of the Lagrangian Multiplier Method (LMM) to the minimum cost design of both singly and doubly reinforced concrete rectangular beams under limit state design conditions. Cost objective functions and stress constraints are derived and implemented within the optimisation method. Cost sensitivity analysis, detailed testing and comparisons with conventional design office methods are performed and the results reported, showing that the Lagrangian Multiplier Method can be successfully applied to the minimum cost design of reinforced concrete beams. The proposed approach is effective and reliable without the need for iterative trials. Optimum design curves have been developed that can be used without prior knowledge of optimisation. Despite the simplification of the cost model and the assumptions made, satisfactory and reliable results have been obtained and confirmed by using standard design office procedures.

This paper reports on the application of the Lagrangian Multiplier Method (LMM) to the minimum cost design of both singly and doubly reinforced concrete rectangular beams under limit state design conditions. Cost objective functions and stress constraints are derived and implemented within the optimisation method. Cost sensitivity analysis, detailed testing and comparisons with conventional design office methods are performed and the results reported, showing that the Lagrangian Multiplier Method can be successfully applied to the minimum cost design of reinforced concrete beams. The proposed approach is effective and reliable without the need for iterative trials. Optimum design curves have been developed that can be used without prior knowledge of optimisation. Despite the simplification of the cost model and the assumptions made, satisfactory and reliable results have been obtained and confirmed by using standard design office procedures.

KeywordsLagrangian Multiplier Method; Cost optimisation; Reinforced concrete; Singly and doubly reinforced
Year2000
JournalStructural and Multidisciplinary Optimization
PublisherSpringer Verlag
ISSN1615-147X
1615-1488
Digital Object Identifier (DOI)https://doi.org/10.1007/s001580050156
Web address (URL)http://hdl.handle.net/10545/583307
hdl:10545/583307
Publication dates01 Nov 2000
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Deposited07 Dec 2015, 14:24
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ContributorsUniversity of Derby
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