Post-Cracking Shear Stiffness Model of Reinforced Concrete Beams

Macro diagonal cracks can significantly reduce the stiffness of slender reinforced concrete (RC) beams, which results in excessive deflection compared with limitations from design specifications. To evaluate the post-cracking stiffness of slender RC beams with diagonal cracks, a shear degradation mo...

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Main Authors: Kaiqi Zheng, Siwen Ni, Yaohui Zhang, Junxuan Gu, Mingming Gao, Yang Wei
Format: Article
Language:English
Published: MDPI AG 2023-11-01
Series:Buildings
Subjects:
Online Access:https://www.mdpi.com/2075-5309/13/11/2814
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author Kaiqi Zheng
Siwen Ni
Yaohui Zhang
Junxuan Gu
Mingming Gao
Yang Wei
author_facet Kaiqi Zheng
Siwen Ni
Yaohui Zhang
Junxuan Gu
Mingming Gao
Yang Wei
author_sort Kaiqi Zheng
collection DOAJ
description Macro diagonal cracks can significantly reduce the stiffness of slender reinforced concrete (RC) beams, which results in excessive deflection compared with limitations from design specifications. To evaluate the post-cracking stiffness of slender RC beams with diagonal cracks, a shear degradation model that considers shear deformation is proposed. Based on the variable angle truss model, this study deduced the strut angle formula based on the minimum energy principle. Then, the relationship between the stirrup yielding shear stiffness and elastic shear stiffness was modeled. Finally, the calculation procedure was developed by quantifying the stiffness degradation tendency. The comparison between the experimental results of deflection and the proposed analytical method showed good agreement. Additionally, the proposed method can capture the full-range features of shear strain curves.
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spelling doaj.art-d09adb0eef354418b92b5ae9c93a3a1b2023-11-24T14:33:29ZengMDPI AGBuildings2075-53092023-11-011311281410.3390/buildings13112814Post-Cracking Shear Stiffness Model of Reinforced Concrete BeamsKaiqi Zheng0Siwen Ni1Yaohui Zhang2Junxuan Gu3Mingming Gao4Yang Wei5College of Civil Engineering, Nanjing Forestry University, Nanjing 210037, ChinaCollege of Civil Engineering, Nanjing Forestry University, Nanjing 210037, ChinaState Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures, Shijiazhuang Tiedao University, Shijiazhuang 050043, ChinaCollege of Civil Engineering, Nanjing Forestry University, Nanjing 210037, ChinaCollege of Civil Engineering, Nanjing Forestry University, Nanjing 210037, ChinaCollege of Civil Engineering, Nanjing Forestry University, Nanjing 210037, ChinaMacro diagonal cracks can significantly reduce the stiffness of slender reinforced concrete (RC) beams, which results in excessive deflection compared with limitations from design specifications. To evaluate the post-cracking stiffness of slender RC beams with diagonal cracks, a shear degradation model that considers shear deformation is proposed. Based on the variable angle truss model, this study deduced the strut angle formula based on the minimum energy principle. Then, the relationship between the stirrup yielding shear stiffness and elastic shear stiffness was modeled. Finally, the calculation procedure was developed by quantifying the stiffness degradation tendency. The comparison between the experimental results of deflection and the proposed analytical method showed good agreement. Additionally, the proposed method can capture the full-range features of shear strain curves.https://www.mdpi.com/2075-5309/13/11/2814reinforced concrete beamshear crackstiffness modelshear deformationstrut anglevariable angle truss model
spellingShingle Kaiqi Zheng
Siwen Ni
Yaohui Zhang
Junxuan Gu
Mingming Gao
Yang Wei
Post-Cracking Shear Stiffness Model of Reinforced Concrete Beams
Buildings
reinforced concrete beam
shear crack
stiffness model
shear deformation
strut angle
variable angle truss model
title Post-Cracking Shear Stiffness Model of Reinforced Concrete Beams
title_full Post-Cracking Shear Stiffness Model of Reinforced Concrete Beams
title_fullStr Post-Cracking Shear Stiffness Model of Reinforced Concrete Beams
title_full_unstemmed Post-Cracking Shear Stiffness Model of Reinforced Concrete Beams
title_short Post-Cracking Shear Stiffness Model of Reinforced Concrete Beams
title_sort post cracking shear stiffness model of reinforced concrete beams
topic reinforced concrete beam
shear crack
stiffness model
shear deformation
strut angle
variable angle truss model
url https://www.mdpi.com/2075-5309/13/11/2814
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