Resistance of compressed elements with small eccentricity taking into account actual height of the compressed concrete zone

Introduction. The load-bearing capacity of normal sections of eccentrically compressed reinforced concrete structures at small eccentricities, according to current regulatory documents, is determined taking into account the linear approximation of the nonlinear dependence of stresses in tensile rein...

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Main Authors: I. T. Mirsayapov, G. T. Apkhadze
Format: Article
Language:English
Published: Moscow State University of Civil Engineering (MGSU) 2024-09-01
Series:Vestnik MGSU
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Online Access:https://www.vestnikmgsu.ru/jour/article/view/368
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author I. T. Mirsayapov
G. T. Apkhadze
author_facet I. T. Mirsayapov
G. T. Apkhadze
author_sort I. T. Mirsayapov
collection DOAJ
description Introduction. The load-bearing capacity of normal sections of eccentrically compressed reinforced concrete structures at small eccentricities, according to current regulatory documents, is determined taking into account the linear approximation of the nonlinear dependence of stresses in tensile reinforcement on the height of the compressed zone. This approach is largely simplified and in some cases leads to an unreasonable overestimation of the bearing capacity of elements. The aim of the study is to obtain analytically the most universal and accurate dependence for determining the height of the compressed zone of concrete, the stresses in tensile reinforcement and, as a result, to clarify the value of the maximum bearing capacity of the normal section of eccentrically compressed elements during destruction of the compressed zone in concrete. Objectives of the research: analytical obtaining the dependence for the height of the compressed zone of concrete in the section in the limit state; comparison of the obtained load-bearing capacity, taking into account the obtained dependence, with the simplest dependence adopted in regulatory documents, as well as with the results of calculations using a nonlinear deformation model; determination of the degree of unreasonable overestimation of the bearing capacity of eccentrically compressed reinforced concrete structures with small eccentricities in current regulatory documents.Materials and methods. The main methods used in the modern theory of concrete and reinforced concrete strength were adopted.Results. The analytical expression for the height of the compressed zone is obtained based on the simplified three-linear diagram of the deformation of concrete under compression. Reasonable refinement of the height of the compressed zone makes it possible to achieve maximum convergence with the results of calculations using a nonlinear deformation model without the use of iterative approaches to solving the problem.Conclusions. The proposed dependencies make it possible to determine the actual stress-strain state in normal sections of eccentrically compressed reinforced concrete elements under the action of small eccentricities of application of the longitudinal compressive force in the limit state.
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spelling doaj-art-7fca50e7dfaf43de9d23307595caf6302025-01-09T08:22:50ZengMoscow State University of Civil Engineering (MGSU)Vestnik MGSU1997-09352304-66002024-09-011991435144310.22227/1997-0935.2024.9.1435-1443165Resistance of compressed elements with small eccentricity taking into account actual height of the compressed concrete zoneI. T. Mirsayapov0G. T. Apkhadze1Kazan State University of Architecture and Engineering (KSUAE)Kazan State University of Architecture and Engineering (KSUAE)Introduction. The load-bearing capacity of normal sections of eccentrically compressed reinforced concrete structures at small eccentricities, according to current regulatory documents, is determined taking into account the linear approximation of the nonlinear dependence of stresses in tensile reinforcement on the height of the compressed zone. This approach is largely simplified and in some cases leads to an unreasonable overestimation of the bearing capacity of elements. The aim of the study is to obtain analytically the most universal and accurate dependence for determining the height of the compressed zone of concrete, the stresses in tensile reinforcement and, as a result, to clarify the value of the maximum bearing capacity of the normal section of eccentrically compressed elements during destruction of the compressed zone in concrete. Objectives of the research: analytical obtaining the dependence for the height of the compressed zone of concrete in the section in the limit state; comparison of the obtained load-bearing capacity, taking into account the obtained dependence, with the simplest dependence adopted in regulatory documents, as well as with the results of calculations using a nonlinear deformation model; determination of the degree of unreasonable overestimation of the bearing capacity of eccentrically compressed reinforced concrete structures with small eccentricities in current regulatory documents.Materials and methods. The main methods used in the modern theory of concrete and reinforced concrete strength were adopted.Results. The analytical expression for the height of the compressed zone is obtained based on the simplified three-linear diagram of the deformation of concrete under compression. Reasonable refinement of the height of the compressed zone makes it possible to achieve maximum convergence with the results of calculations using a nonlinear deformation model without the use of iterative approaches to solving the problem.Conclusions. The proposed dependencies make it possible to determine the actual stress-strain state in normal sections of eccentrically compressed reinforced concrete elements under the action of small eccentricities of application of the longitudinal compressive force in the limit state.https://www.vestnikmgsu.ru/jour/article/view/368reinforced concretereinforced concrete structureseccentrically compressed structuresnonlinear deformation modeldeformation diagram of concrete
spellingShingle I. T. Mirsayapov
G. T. Apkhadze
Resistance of compressed elements with small eccentricity taking into account actual height of the compressed concrete zone
Vestnik MGSU
reinforced concrete
reinforced concrete structures
eccentrically compressed structures
nonlinear deformation model
deformation diagram of concrete
title Resistance of compressed elements with small eccentricity taking into account actual height of the compressed concrete zone
title_full Resistance of compressed elements with small eccentricity taking into account actual height of the compressed concrete zone
title_fullStr Resistance of compressed elements with small eccentricity taking into account actual height of the compressed concrete zone
title_full_unstemmed Resistance of compressed elements with small eccentricity taking into account actual height of the compressed concrete zone
title_short Resistance of compressed elements with small eccentricity taking into account actual height of the compressed concrete zone
title_sort resistance of compressed elements with small eccentricity taking into account actual height of the compressed concrete zone
topic reinforced concrete
reinforced concrete structures
eccentrically compressed structures
nonlinear deformation model
deformation diagram of concrete
url https://www.vestnikmgsu.ru/jour/article/view/368
work_keys_str_mv AT itmirsayapov resistanceofcompressedelementswithsmalleccentricitytakingintoaccountactualheightofthecompressedconcretezone
AT gtapkhadze resistanceofcompressedelementswithsmalleccentricitytakingintoaccountactualheightofthecompressedconcretezone