Mathematical modelling of stress-strain state of steel-concrete beams with combined reinforcement

Most of the modern computer software for the building structures‘ calculation is based on mathematical dependencies which make it possible to analyse rather complex stress-strain state of structures subjected to loading. As a rule, the calculation is based on the finite element method and is reduced...

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Main Authors: Selejdak Jacek, Bobalo Taras, Blikharskyy Yaroslav, Dankevych Iryna
Format: Article
Language:English
Published: Sciendo 2023-03-01
Series:Production Engineering Archives
Subjects:
Online Access:https://doi.org/10.30657/pea.2023.29.13
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author Selejdak Jacek
Bobalo Taras
Blikharskyy Yaroslav
Dankevych Iryna
author_facet Selejdak Jacek
Bobalo Taras
Blikharskyy Yaroslav
Dankevych Iryna
author_sort Selejdak Jacek
collection DOAJ
description Most of the modern computer software for the building structures‘ calculation is based on mathematical dependencies which make it possible to analyse rather complex stress-strain state of structures subjected to loading. As a rule, the calculation is based on the finite element method and is reduced to the calculation of deformations arising in structures due to the action of external forces with the use of real strain diagrams of materials, σ-ε diagrams for concrete and reinforcement. Modern normative regulations for reinforced concrete structures‘ calculation are also based on the deformation model using material deformation diagrams, which are as close to the real ones, as possible. Therefore, this study was aimed to investigate in more detail the stress-strain state and the physical essence of the processes occurring in reinforced concrete structures with combined reinforcement according to mathematical approaches and regulations of DBN B.2.6-98:2009 and DSTU B. In 2.6-156:2010. Namely, in the research is analysed the combined reinforcement of S245 steel tapes and A1000 rebar, which is used in the production of reinforced concrete elements. The results of mathematical modelling were compared with the calculation results, according to DBN B.2.6-98: 2009 and DSTU B. B 2.6-156:2010, as well as with field experimental data. Therefore, the conclusion could be made, whether it is possible to use this technique with sufficient accuracy to calculate reinforced concrete structures with combined reinforcement.
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spelling doaj.art-3b2f2b83105248f1ac3d4b9ec2bfdf9e2023-09-18T06:33:41ZengSciendoProduction Engineering Archives2353-77792023-03-0129110811510.30657/pea.2023.29.13Mathematical modelling of stress-strain state of steel-concrete beams with combined reinforcementSelejdak Jacek0Bobalo Taras1Blikharskyy Yaroslav2Dankevych Iryna3Czestochowa University of Technology, Faculty of Civil Engineering, 69 st. Dabrowskiego, 42-201Czestochowa, PolandLviv Polytechnic National University, Department of Building Constructions and Bridges, 12 st. S. Bandera, Lviv, 79013, UkraineLviv Polytechnic National University, Department of Highways and Bridges, 12 st. S. Bandera, Lviv, 79013, UkraineLviv Polytechnic National University, Department of Building Constructions and Bridges, 12 st. S. Bandera, Lviv, 79013, UkraineMost of the modern computer software for the building structures‘ calculation is based on mathematical dependencies which make it possible to analyse rather complex stress-strain state of structures subjected to loading. As a rule, the calculation is based on the finite element method and is reduced to the calculation of deformations arising in structures due to the action of external forces with the use of real strain diagrams of materials, σ-ε diagrams for concrete and reinforcement. Modern normative regulations for reinforced concrete structures‘ calculation are also based on the deformation model using material deformation diagrams, which are as close to the real ones, as possible. Therefore, this study was aimed to investigate in more detail the stress-strain state and the physical essence of the processes occurring in reinforced concrete structures with combined reinforcement according to mathematical approaches and regulations of DBN B.2.6-98:2009 and DSTU B. In 2.6-156:2010. Namely, in the research is analysed the combined reinforcement of S245 steel tapes and A1000 rebar, which is used in the production of reinforced concrete elements. The results of mathematical modelling were compared with the calculation results, according to DBN B.2.6-98: 2009 and DSTU B. B 2.6-156:2010, as well as with field experimental data. Therefore, the conclusion could be made, whether it is possible to use this technique with sufficient accuracy to calculate reinforced concrete structures with combined reinforcement.https://doi.org/10.30657/pea.2023.29.13combined reinforcementhigh-strength rebarsteel-concrete structuresdesign of rc structuresexternal reinforcement
spellingShingle Selejdak Jacek
Bobalo Taras
Blikharskyy Yaroslav
Dankevych Iryna
Mathematical modelling of stress-strain state of steel-concrete beams with combined reinforcement
Production Engineering Archives
combined reinforcement
high-strength rebar
steel-concrete structures
design of rc structures
external reinforcement
title Mathematical modelling of stress-strain state of steel-concrete beams with combined reinforcement
title_full Mathematical modelling of stress-strain state of steel-concrete beams with combined reinforcement
title_fullStr Mathematical modelling of stress-strain state of steel-concrete beams with combined reinforcement
title_full_unstemmed Mathematical modelling of stress-strain state of steel-concrete beams with combined reinforcement
title_short Mathematical modelling of stress-strain state of steel-concrete beams with combined reinforcement
title_sort mathematical modelling of stress strain state of steel concrete beams with combined reinforcement
topic combined reinforcement
high-strength rebar
steel-concrete structures
design of rc structures
external reinforcement
url https://doi.org/10.30657/pea.2023.29.13
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AT blikharskyyyaroslav mathematicalmodellingofstressstrainstateofsteelconcretebeamswithcombinedreinforcement
AT dankevychiryna mathematicalmodellingofstressstrainstateofsteelconcretebeamswithcombinedreinforcement