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Frontiers of Structural and Civil Engineering

, Volume 13, Issue 6, pp 1324–1337 | Cite as

Truss-arch model for shear strength of seismic-damaged SRC frame columns strengthened with CFRP sheets

  • Sheng PengEmail author
  • Chengxiang Xu
  • Xiaoqiang Liu
Research Article
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Abstract

Carbon fiber reinforced polymer (CFRP) materials are important reinforcing substances which are widely used in the shear strengthening of seismic-damage steel reinforced concrete (SRC) frame structures. To investigate the shear strength of SRC frame columns strengthened with CFRP sheets, experimental observations on eight seismic-damaged SRC frame columns strengthened with CFRP sheets were conducted at Yangtze University and existing experimental data of 49 SRC columns are presented. Based on the existing experiments, the theories of damage degree, zoning analysis of concrete, and strengthening material of the column are adopted. To present the expression formula of the shear strength of SRC frame columns strengthened with CFRP sheets, the contributions of strengthening material and transverse reinforcement to shear strength in the truss model are considered, based on the truss-arch model. The contribution of arch action is also considered through the analysis of the whole concrete and that of the three zones of the concrete are also considered. The formula is verified, and the calculated results are found to match well with the experimental results. Results indicate that the proposed whole analysis model can improve the accuracy of shear strength predictions of shear seismic-damaged SRC frame columns reinforced with CFRP sheets.

Keywords

carbon fiber reinforced polymer material steel reinforced concrete frame column seismic-damaged trussed-arch model shear strength 

Notation

A

gross area of section

A1

core zone area of section

A2

non core zone area of section

aCFRP

CFRP strength reduction factor

aF

the strength reduction factor

b

width of column

bf

width of flange of I-beam section

bst

width of CFRP

D

damage index of specimen

D1

damage index of the non core zone area of the section column (D1 = 0.5 for moderate damaged and D1 = 1 for severe damaged)

df

thickness of I-beam flange

E

elastic modulus of CFPR

fa

yield stress of steel

fa

yield stress of steel after post-earthquake damage

fc

cylinder strength of concrete

fck

yield stress of longitudinal bars

fck

yield stress of longitudinal bars after post-earthquake damage

fst

tensile stress of CFPR

fyv

yield stress of stirrups

fyv

yield stress of stirrups after post-earthquake damage

h

height of column

h1

the high cross section of I-beam

l

column height

sst

the CFRP spacing

tst

the monolayer thickness of CFRP

tw

the thickness of I-beam web

Va

shear strength provided by steel

Va1

the shear strength of the whole analysis of concrete with RC column section

Va2

the shear strength of the RC column consisting of three zones

Ve

measured shear strength of column

Vt

shear strength provided by arch model

α

effective coefficient of arch model

β1

correlation coefficient

β2

correlation coefficient

λ

shear span ratio

n

axial-load ratio

ρa

steel ratio

ρ1

longitudinal bars ratio

ρsv

stirrups ratio

ν

the softening coefficient of concrete

νCFRP

CFRP strength effective coefficient

νs

shear coefficient of reinforced material

σc

the oblique compressive stress

φ

the angle between the compression concrete and the column axis in the truss model

μ

displacement ductility of SRC column at shear failure

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Notes

Acknowledgements

The experiments by Peng et al. [2] were carried out in the Civil Engineering Experiment Center of Yangtze University, China. This research was funded by the National Natural Science Foundation of China (Grant Nos. 51478048; 51678457), Natural Science Foundation of Hubei Province (Innovation group) of China (No. 2015CFA029) and their support is gratefully acknowledged.

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Copyright information

© Higher Education Press and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Civil EngineeringWuhan University of Science and TechnologyWuhanChina
  2. 2.School of Architectural EnginieeringWeifang University of Science and TechnologyWeifangChina

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