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

Hdl Handle:
http://hdl.handle.net/10545/583307
Title:
Sensitivity analysis and optimum design curves for the minimum cost design of singly and doubly reinforced concrete beams
Authors:
Ceranic, Boris; 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.
Affiliation:
University of Derby
Citation:
Ceranic, B., Fryer, C. (2000) 'Sensitivity analysis and optimum design curves for the minimum cost design of singly and doubly reinforced concrete beams', Structural and Multidisciplinary Optimization, 20 (4):260
Publisher:
Springer Verlag
Journal:
Structural and Multidisciplinary Optimization
Issue Date:
1-Nov-2000
URI:
http://hdl.handle.net/10545/583307
DOI:
10.1007/s001580050156
Additional Links:
http://link.springer.com/10.1007/s001580050156
Type:
Article
Language:
en
ISSN:
1615-147X; 1615-1488
Appears in Collections:
The Built Environment Research Group (BERG)

Full metadata record

DC FieldValue Language
dc.contributor.authorCeranic, Borisen
dc.contributor.authorFryer, Colinen
dc.date.accessioned2015-12-07T14:24:50Zen
dc.date.available2015-12-07T14:24:50Zen
dc.date.issued2000-11-01en
dc.identifier.citationCeranic, B., Fryer, C. (2000) 'Sensitivity analysis and optimum design curves for the minimum cost design of singly and doubly reinforced concrete beams', Structural and Multidisciplinary Optimization, 20 (4):260en
dc.identifier.issn1615-147Xen
dc.identifier.issn1615-1488en
dc.identifier.doi10.1007/s001580050156en
dc.identifier.urihttp://hdl.handle.net/10545/583307en
dc.description.abstractThis 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.en
dc.language.isoenen
dc.publisherSpringer Verlagen
dc.relation.urlhttp://link.springer.com/10.1007/s001580050156en
dc.rightsArchived with thanks to Structural and Multidisciplinary Optimizationen
dc.subjectLagrangian Multiplier Methoden
dc.subjectCost optimisationen
dc.subjectReinforced concreteen
dc.subjectSingly and doubly reinforceden
dc.titleSensitivity analysis and optimum design curves for the minimum cost design of singly and doubly reinforced concrete beamsen
dc.typeArticleen
dc.contributor.departmentUniversity of Derbyen
dc.identifier.journalStructural and Multidisciplinary Optimizationen
All Items in UDORA are protected by copyright, with all rights reserved, unless otherwise indicated.