Skip to main content
SpringerLink
Log in

Deflections of concrete beams reinforced with FRP bars

  • Original Article
  • Published:
Materials and Structures Aims and scope Submit manuscript

Abstract

The aim of this study is to experimentally and theoretically investigate the flexural behavior of concrete beams reinforced with fiber reinforced polymer (FRP) bars. In this research, three types of experiments were made. First, the tensile properties of FRP and steel bars were tested, then the bond-slip behavior between bars and concrete was tested on standard specimens and, in the end, three series of concrete beams reinforced with GFRP, CFRP and steel bars were tested up to failure. The theoretical model for calculating deflections was developed, which included bond-slip behavior of FRP bars. The theoretical results were compared to the test results of beam deflections, as well to deflection results obtained by theoretical models developed by other authors.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14

Similar content being viewed by others

Abbreviations

1/r c :

Curvature of concrete part of cross section

1/r f :

Curvature of cross section due to FRP reinforcement

A f1 :

Area of tensile FRP reinforcement

b :

Width of concrete beam

d :

Effective depth of the cross section

d 1 :

Distance between tensile reinforcement and tensile edge of the cross section

E f :

Modulus of elasticity of FRP reinforcement

F c :

Compressive force in concrete

F ct :

Tensile force in concrete

F f1 :

Tensile force in FRP reinforcement

F s2 :

Compressive force in FRP reinforcement (if applicable)

h :

Depth of the concrete beam

M cr :

Cracking moment of the concrete member cross section

M Sd :

Design value of the bending moment for which deflection is being calculated (EC2)

M(x):

Bending moment in cross section at the distance x from beam support

y1d :

Distance between the neutral axis and the lower edge of cross section in stress state I

y 1g :

Distance between the neutral axis and the upper edge of cross section in stress state I

z :

Lever arm

z 1 :

Distance between tensile reinforcement and compressive force in cross section

εc :

Tensile strain of concrete at the reinforcement level

εct :

Tensile strain of concrete at the tensile edge of cross section

εc2 :

Tensile strain of concrete at the compressive edge of cross section

εf1 :

Tensile strain of FRP reinforcement

εfailure :

Strain of steel bar at failure

εmax :

Maximum strain of steel bar

εyl :

Strain at lower yielding stress

εyu :

Strain at upper yielding stress

ρf :

FRP reinforcement ratio (tensile reinforcement)

ρfb :

FRP reinforcement ratio producing balanced strain conditions

σ02 :

Stress of the steel bars with permanent strain of 0.2%

σct :

Tensile stress in concrete at tensile edge of cross section

σf1 :

Tensile stress of FRP reinforcement

σfailure :

Stress of steel bar at failure

σmax :

Maximum stress of steel bar

σyl :

Lower yielding stress

σyu :

Upper yielding stress

References

  1. ACI Committee 440 (2006) Guide for the design and construction of concrete reinforced with FRP Bars. 440.1R-06, American Concrete Institute, Farmington Hills, MI

  2. Benmokrane B, Chaallal O, Masmoudi R (1996) Flexural response of concrete beams reinforced with FRP reinforcing bars. ACI Struct J 93(1):46–55 January–February

    Google Scholar 

  3. Faza SS, Ganga Rao HVS (1992) Pre-and post-cracking deflection behavior of concrete beams reinforced with Fibre-reinforced plastic rebars. In: Neale KW, Labossiere P (eds) Proceedings of the first international conference on the use of advanced composite materials in bridges and structures, ACMBS I. Canadian Society for Civil Engineering, Montreal, pp 151–160

  4. Alsayed SH, Al-Salloum YA, Almusallam TH (2000) Performance of glass fiber reinforced plastic bars as a reinforcing material for concrete structures. Composites: B 31:555–567

    Article  Google Scholar 

  5. Hall T, Ghali A (2000) Long-term deflection prediction of concrete members reinforced with glass fibre reinforced polymer bars. Can J Civil Eng 27:890–898

    Article  Google Scholar 

  6. Razaqpur AG, Isgor OB (2000) Methods for calculating deflections of FRP reinforced concrete structures. In: Proceeding of the 3rd international conference on advanced composite materials in bridges and structures, August 2000. Ottawa, Canada, pp 371–378

  7. Favre R, Charif H (1994) Basic model and simplified calculations of deformations according to the CEB-FIP model code 1990. ACI Struct J 91(2):169–177

    Google Scholar 

  8. Branson DE (1968) Design procedures for computing deflections. ACI J 65:730–742 September

    Google Scholar 

  9. Hall TS (2000) Deflections of concrete members reinforced with fibre reinforced polymer (FRP) bars. A thesis submitted to the Faculty of Graduate Studies in partial fulfillment of the requirements for the degree of Master of Science, Department of Civil Engineering, Calgary, Alberta, Canada, January

  10. Benmokrane B, Zhang B, Laoubi K, Tighiouart B, Lord I (2001) Mechanical and bond properties of new generation of isorod CFRP reinforcing bars for concrete structures. Technical Progress Report, NSERC Research Chair in FRP Reinforcement for Concrete Structures, Canada

  11. Castro P, Carino NJ (1998) Tensile and nondestructive testing of FRP bars. J Compos Constr 2(1):17–27

    Article  Google Scholar 

  12. Fib bulletin 10 (2000) Bond of reinforcement in concrete, August, 2000

  13. ENV 1992-1-1 (1991) Eurocode 2—design of concrete structures; part 1: general rules and rules for buildings, revised final draft, Brussels

  14. Damjanic FB (1983) Reinforced concrete failure prediction under both static and transient conditions. Ph.D. Thesis, Department of Civil Engineering, University College of Swansea, UK

  15. Tepfers R (1980) Bond and stress along lapped reinforcing bars. Mag Concr Res 32(112):135–142

    Article  Google Scholar 

  16. Soric Z (1987) Bond and bond slip in reinforced masonry structures. Ph.D. Thesis, University of Colorado, Department of Civil, Environmental and Architectural Engineering, Boulder, Colorado, USA

  17. Manfredi G, Pecce M (1998) A refined R.C. beam element including bond–slip relationship for the analysis of continuous beams. Comput Struct 69(1):53–62

    Article  MATH  Google Scholar 

Download references

Acknowledgments

Special thanks to companies “Armirac” and “Viadukt” for making reinforcement and concrete specimens, to Civil Engineering Institute—Zagreb and the Department for Technical Mechanics of Civil Engineering Faculty at the University of Zagreb for specimens testing. The investigations described herein have been done within the frame of the research project No. 0082203 “Application of non-metal materials in concrete structures” which has been supported by a grant from the Ministry of Science, Education and Sport of the Republic of Croatia. All supports have been gratefully acknowledged.

Author information

Authors and Affiliations

  1. Faculty of Civil Engineering, University of Zagreb, Kaciceva 26, 10000, Zagreb, Croatia

    Zorislav Soric, Tomislav Kisicek & Josip Galic

Authors
  1. Zorislav Soric
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Tomislav Kisicek
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Josip Galic
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Tomislav Kisicek.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Soric, Z., Kisicek, T. & Galic, J. Deflections of concrete beams reinforced with FRP bars. Mater Struct 43 (Suppl 1), 73–90 (2010). https://doi.org/10.1617/s11527-010-9600-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1617/s11527-010-9600-1

Keywords

Search

Navigation