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

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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.

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Abbreviations

A :

gross area of section

A 1 :

core zone area of section

A 2 :

non core zone area of section

a CFRP :

CFRP strength reduction factor

a F :

the strength reduction factor

b :

width of column

b f :

width of flange of I-beam section

b st :

width of CFRP

D :

damage index of specimen

D 1 :

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

d f :

thickness of I-beam flange

E :

elastic modulus of CFPR

f a :

yield stress of steel

f a′:

yield stress of steel after post-earthquake damage

f c :

cylinder strength of concrete

f ck :

yield stress of longitudinal bars

f ck′:

yield stress of longitudinal bars after post-earthquake damage

f st :

tensile stress of CFPR

f yv :

yield stress of stirrups

f yv′:

yield stress of stirrups after post-earthquake damage

h :

height of column

h 1 :

the high cross section of I-beam

l :

column height

s st :

the CFRP spacing

t st :

the monolayer thickness of CFRP

t w :

the thickness of I-beam web

V a :

shear strength provided by steel

V a1 :

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

V a2 :

the shear strength of the RC column consisting of three zones

V e :

measured shear strength of column

V t :

shear strength provided by arch model

α :

effective coefficient of arch model

β 1 :

correlation coefficient

β 2 :

correlation coefficient

λ :

shear span ratio

n :

axial-load ratio

ρ a :

steel ratio

ρ 1 :

longitudinal bars ratio

ρ sv :

stirrups ratio

ν :

the softening coefficient of concrete

ν CFRP :

CFRP strength effective coefficient

ν s :

shear coefficient of reinforced material

σ c :

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

References

  1. Xu C X, Peng S, Deng J, Wan C. Study on seismic behavior of encased steel jacket-strengthened earthquake-damaged composite steel-concrete columns. Journal of Building Engineering, 2018, 17: 154–166

    Article  Google Scholar 

  2. Peng S, Xu C X, Lu M X, Yang J M. Experimental research and finite element analysis on seismic behavior of CFRP-strengthened seismic-damaged composite steel-concrete frame columns. Engineering Structures, 2018, 155: 50–60

    Article  Google Scholar 

  3. Xu C X, Zeng L, Zhou Q, Tu X, Wu Y. Cyclic performance of concrete-encased composite columns with T-shaped steel sections. International Journal of Civil Engineering, 2015, 61: 455–467

    Google Scholar 

  4. Gholamhoseini A, Khanlou A, MacRae G, Scott A, Hicks S, Leon R. An experimental study on strength and serviceability of reinforced and steel fiber reinforced concrete (SFRC) continuous composite slabs. Engineering Structures, 2016, 114: 171–180

    Article  Google Scholar 

  5. Lampropoulos A P, Paschalis S A, Tsioulou O T, Dritsos S E. Strengthening of reinforced concrete beams using ultra high performance fibre reinforced concrete (UHPFRC). Engineering Structures, 2016, 106: 370–384

    Article  Google Scholar 

  6. Yoo D Y, Banthia N, Yoon Y S. Flexural behavior of ultra-high-performance fiber-reinforced concrete beams reinforced with GFRP and steel rebars. Engineering Structures, 2016, 111: 246–262

    Article  Google Scholar 

  7. Yin S F, Hu K X. Numerical simulation for the pseudo-static test of strengthened RC columns with earthquake-damage based on opensees. Engineering Structures, 2015, 31: 145–151

    MathSciNet  Google Scholar 

  8. Kim S H, Choi J H. Repair of earthquake damaged RC columns with stainless steel wire mesh composite. Advances in Structural Engineering, 2010, 13(2): 393–401

    Article  Google Scholar 

  9. Ozbakkaloglu T, Saatcioglu M. Seismic performance of square high-strength concrete columns in FRP stay-in-place formwork. Journal of Structural Engineering, 2007, 133(1): 44–56

    Article  Google Scholar 

  10. Ozbakkaloglu T, Saatcioglu M. Seismic behavior of high-strength concrete columns confined by fiber reinforced polymer tubes. Journal of Composites for Construction, 2006, 10(6): 538–549

    Article  Google Scholar 

  11. Idris Y, Ozbakkaloglu T. Behavior of square fiber reinforced polymer-high-strength concrete-steel double-skin tubular columns under combined axial compression and reversed-cyclic lateral loading. Engineering Structures, 2016, 118: 307–319

    Article  Google Scholar 

  12. Idris Y, Ozbakkaloglu T. Seismic behavior of high-strength concrete-filled FRP tube columns. Journal of Composites for Construction, 2013, 17(6): 04013013

    Article  Google Scholar 

  13. Idris Y, Ozbakkaloglu T. Seismic behavior of FRP-high-strength concrete-steel double skin tubular columns. Journal of Structural Engineering, 2012, 140: 1299–1328

    Google Scholar 

  14. Ozbakkaloglu T, Lim J C. Axial compressive behavior of FRP-confined concrete: Experimental test database and a new design-oriented model. Composites. Part B, Engineering, 2013, 55: 607–634

    Article  Google Scholar 

  15. Ozbakkaloglu T, Jian C L. Confinement model for FRP-confined high-strength concrete. Journal of Composites for Construction, 2013, 18: 2537–2547

    Google Scholar 

  16. Fukuyama K, Higashibata Y, Miyauchi Y. Studies on repair and strengthening methods of damaged reinforced concrete columns. Cement and Concrete Composites, 2000, 22(1): 81–88

    Article  Google Scholar 

  17. Cai W D. Experimental study on seismic behavior for reinforced concrete short column strengthened with carbon fiber sheet. Thesis for the Master’s Degree. Tianjin: Tianjin University, 2001 (in Chinese)

    Google Scholar 

  18. Iacobucci R D, Sheikh S A, Bayrak O. Retrofit of square concrete columns with carbon fiber-reinforced polymer for seismic resistance. ACI Structural Journal, 2003, 100(6): 785–794

    Google Scholar 

  19. Sezen H, Moehle J P. Shear strength model for lightly reinforced concrete columns. Journal of Structural Engineering, 2004, 130(11): 1692–1703

    Article  Google Scholar 

  20. Wang X L, Fan J W, Wang H. Experimental study on the damaged RC frame structure strengthened with CFRP under low-cycle repeated load. World Earthquake Engineering, 2009, 25(3): 119–123 (in Chinese)

    Google Scholar 

  21. Wang J L. Experimental Research on Seismic Behaviors of Earthquake-damaged Concrete Columns Restrengthened with CFRP. Thesis for the Master’s Degree. Nanjing: Southeast University, 2009 (in Chinese)

    Google Scholar 

  22. Zhao S H, Ye L P. Shear strength analysis of concrete column retrofitted with CFRP sheet based on strut-arch model. Engineering Mechanics, 2001, 18(6): 134–140

    Google Scholar 

  23. Zhang Y, Cui X G, Yang D, Li X B. Experimental investigation on the seismic behaviors of repaired seriously damaged reinforced concrete columns. Industrial Construction, 2011, 41(7): 38–44 (in Chinese)

    Google Scholar 

  24. Zhou C D, Tian T, Lv X L, Bai X B, Li H. Test study on seismic performance of pre-damaged RC Cylinder piers strengthened with pre-stressed FRP belts. Journal of The China Railway Society, 2012, 34(10): 103–114 (in Chinese)

    Google Scholar 

  25. Pan Z F, Li B. Truss-arch model for shear strength of shear-critical reinforced concrete columns. Journal of Structural Engineering, 2013, 139(4): 548–560

    Article  MathSciNet  Google Scholar 

  26. Jin C H, Pan Z F, Meng S P, Qiao Z. Seismic behavior of shear-critical reinforced high-strength concrete columns. Journal of Structural Engineering, 2015, 141(8): 04014198

    Article  Google Scholar 

  27. Ichinose T. A shear design equation for ductile RC members. Earthquake Engineering & Structural Dynamics, 1992, 21(3): 197–214

    Article  MathSciNet  Google Scholar 

  28. Yang J M. Finite element analysis on seismic performance of repaired and strengthened seismic-damaged steel reinforced concrete frame columns. Thesis for the Master’s Degree. Wuhan: Wuhan University of Science and Technology, 2017 (in Chinese)

    Google Scholar 

  29. Liu J D. Research on modeling of hysteretic characteristics of RC frames damaged during earthquake. Thesis for the Master’s Degree. Chongqing: Chongqing University, 2015 (in Chinese)

    Google Scholar 

  30. Wang B, Zheng S S, Guo X F, Yu F, Zhang H R. Seismic damage analysis for SRHSHPC frame columns. Engineering Mechanics, 2012, 29(2): 61–68

    Google Scholar 

  31. Zhao G T, Cao F B. Seismic behavior of reinforced concrete crack-short columns strengthened with CFRP. Earthquake Resistant Engineering and Retrofitting, 2010, 32(5): 85–90 (in Chinese)

    Google Scholar 

  32. Lu M X. Experimental research on seismic behavior of CFRP-strengthened seismic-damaged SRC columns. Thesis for the Master’s Degree. Jingzhou: Yangtze University, 2017 (in Chinese)

    Google Scholar 

  33. Wan C. Experimental study on steel reinforced concrete frame columns strengthened with steel angles and strips damaged by simulated earthquake. Thesis for the Master’s Degree. Jingzhou: Yangtze University, 2017 (in Chinese)

    Google Scholar 

  34. Zhang Y F. Experimental research on the seismic performance of damaged reinforced concrete columns strengthened with carbon fiber reinforced plastics. Thesis for the Master’s Degree. Baotou: Mongolia University of Science and Technology, 2009 (in Chinese)

    Google Scholar 

  35. GB50010-2010. Code for Design of Concrete Structures. China Architecture & Building Press, 2010 (in Chinese)

  36. Wei J P, Zhang X H. Analysis on the shear bearing capacity of solid-webbed steel reinforced concrete short column based on trussed arch model. Progress in Steel Building Structures, 2011, 13(4): 52–56 (in Chinese)

    Google Scholar 

  37. Ye L P, Zhao S H, Li Q W, Yu Q R, Zhang K. Calculation of shear strength of concrete column strengthened with carbon fiber reinforced plastic sheet. Journal of Building Structures, 2000, 21(2): 59–67

    Google Scholar 

  38. ACI Committee 318. Building code requirements for structural concrete (ACI 318-05) and commentary (ACI 318R-05). American Concrete Institute, 2005

  39. CSA A23.3-04. Design of concrete structures. Canadian Standards Association, 2004

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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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Authors and Affiliations

  1. Department of Civil Engineering, Wuhan University of Science and Technology, Wuhan, 430065, China

    Sheng Peng, Chengxiang Xu & Xiaoqiang Liu

  2. School of Architectural Enginieering, Weifang University of Science and Technology, Weifang, 262700, China

    Xiaoqiang Liu

Authors
  1. Sheng Peng
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Correspondence to Sheng Peng.

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Peng, S., Xu, C. & Liu, X. Truss-arch model for shear strength of seismic-damaged SRC frame columns strengthened with CFRP sheets. Front. Struct. Civ. Eng. 13, 1324–1337 (2019). https://doi.org/10.1007/s11709-019-0557-z

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