Applications of truss topology optimization in the design of reinforced concrete structures using „Strut and Tie” models

Although Strut and Tie models are often used in practical design due to their apparent concept based on truss analysis, the creation of a model consistent with behaviour of the real structure is not an easy task. Frame corner model considered in the paper and presented in code [7] and article [8] ex...

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Main Authors: Karol Bołbotowski, Michał Knauff, Tomasz Sokół
Format: Article
Language:English
Published: Lublin University of Technology 2013-03-01
Series:Budownictwo i Architektura
Subjects:
Online Access:https://ph.pollub.pl/index.php/bia/article/view/2178
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author Karol Bołbotowski
Michał Knauff
Tomasz Sokół
author_facet Karol Bołbotowski
Michał Knauff
Tomasz Sokół
author_sort Karol Bołbotowski
collection DOAJ
description Although Strut and Tie models are often used in practical design due to their apparent concept based on truss analysis, the creation of a model consistent with behaviour of the real structure is not an easy task. Frame corner model considered in the paper and presented in code [7] and article [8] exemplifies the problem. The authors proposed a method of automatic generating of ST models by making use of truss topology optimization (volume minimization problem). The method is based on classical ground structure approach. The authors introduced a method of including the cost of nodes in the objective function, which allowed to obtain solutions consisting of rationally small number of bars (unlike Michell’s structures). Moreover, algorithms ensuring consistency with Eurocode requirements were developed. The method was implemented in computer program. With the use of the software the authors proposed an alternative ST model for the frame corner, which requires considerably less reinforcement steel in comparison with the model suggested by the code. The versatility of the program was well proven in several other examples of plane stress problems in reinforced concrete design.
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spelling doaj.art-207d94b93e7640e1b9f9b0f39d9e2f092024-03-02T11:57:13ZengLublin University of TechnologyBudownictwo i Architektura1899-06652544-32752013-03-0112110.35784/bud-arch.2178Applications of truss topology optimization in the design of reinforced concrete structures using „Strut and Tie” modelsKarol Bołbotowski0Michał Knauff1Tomasz SokółInstitute of Building Engineering, Faculty of Civil Engineering, Warsaw University of TechnologyDepartment of Civil Engineering, Faculty of Civil and Environmental Engineering, Warsaw University of Life Sciences - SGGWAlthough Strut and Tie models are often used in practical design due to their apparent concept based on truss analysis, the creation of a model consistent with behaviour of the real structure is not an easy task. Frame corner model considered in the paper and presented in code [7] and article [8] exemplifies the problem. The authors proposed a method of automatic generating of ST models by making use of truss topology optimization (volume minimization problem). The method is based on classical ground structure approach. The authors introduced a method of including the cost of nodes in the objective function, which allowed to obtain solutions consisting of rationally small number of bars (unlike Michell’s structures). Moreover, algorithms ensuring consistency with Eurocode requirements were developed. The method was implemented in computer program. With the use of the software the authors proposed an alternative ST model for the frame corner, which requires considerably less reinforcement steel in comparison with the model suggested by the code. The versatility of the program was well proven in several other examples of plane stress problems in reinforced concrete design.https://ph.pollub.pl/index.php/bia/article/view/2178Strut and Tie modelsreinforced concrete structuresEurocode 2 designframe cornertopology optimizationMichell’s structures
spellingShingle Karol Bołbotowski
Michał Knauff
Tomasz Sokół
Applications of truss topology optimization in the design of reinforced concrete structures using „Strut and Tie” models
Budownictwo i Architektura
Strut and Tie models
reinforced concrete structures
Eurocode 2 design
frame corner
topology optimization
Michell’s structures
title Applications of truss topology optimization in the design of reinforced concrete structures using „Strut and Tie” models
title_full Applications of truss topology optimization in the design of reinforced concrete structures using „Strut and Tie” models
title_fullStr Applications of truss topology optimization in the design of reinforced concrete structures using „Strut and Tie” models
title_full_unstemmed Applications of truss topology optimization in the design of reinforced concrete structures using „Strut and Tie” models
title_short Applications of truss topology optimization in the design of reinforced concrete structures using „Strut and Tie” models
title_sort applications of truss topology optimization in the design of reinforced concrete structures using strut and tie models
topic Strut and Tie models
reinforced concrete structures
Eurocode 2 design
frame corner
topology optimization
Michell’s structures
url https://ph.pollub.pl/index.php/bia/article/view/2178
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