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Table 2 Effective bond length specified by various FRP guides.

From: A State-of-the-Art Review on Debonding Failures of FRP Laminates Externally Adhered to Concrete

Code

Years

Equation

Reference (Origin)

ACI 440.2R-08 (USA)

2008

\( L_{e} = \frac{23300}{{(nE_{f} t_{f} )^{0.58} }} \)

Maeda et al. (1997); \( L_{e} = e^{{6.134 - 0.58\ln (E_{f} t_{f} )}} \)

ISIS CSA S806-02 (Canada)

2002

\( L_{e} = \frac{25350}{{(E_{f} t_{f} )^{0.58} }} \)

Maeda et al. (1997); \( L_{e} = e^{{6.134 - 0.58\ln (E_{f} t_{f} )}} \)

FIB B14—Appendix A1 (Europe)

2001

\( L_{e} = \sqrt {\frac{{E_{f} t_{f} }}{{c_{2} f_{ctm} }}}_{{}} ,c_{2} = 2 \)

Neubauer and Rostasy (1997); \( L_{e} = \sqrt {\frac{{E_{f} t_{f} }}{{2f_{ctm} }}}_{{}} \)

FIB B14—Appendix A2 (Europe)

2001

\( L_{e} = c_{2} \sqrt {\frac{{E_{f} t_{f} }}{{f_{ctm} }}}_{{}} ,c_{2} = 1.44 \)

Neubauer and Rostasy (1997); \( L_{e} = \sqrt {\frac{{E_{f} t_{f} }}{{2f_{ctm} }}}_{{}} \)

CS TR55 (UK)

2004

\( L_{e} = 0.7\sqrt {\frac{{E_{f} t_{f} }}{{f_{ctm} }}}_{{}} \)

Neubauer and Rostasy (1997); \( L_{e} = \sqrt {\frac{{E_{f} t_{f} }}{{2f_{ctm} }}}_{{}} \)

CNR-DT 200/04 (Italy)

2005

\( L_{e} = \sqrt {\frac{{E_{f} t_{f} }}{{2f_{ctm} }}}_{{}} \)

FIB-B14 Apx-A1; \( L_{e} = \sqrt {\frac{{E_{f} t_{f} }}{{c_{2} f_{ctm} }}}_{{}} c_{2} = 2 \)

Eurocode 8-3 (Europe)

2004

\( L_{e} = \sqrt {\frac{{E_{f} t_{f} }}{{4f_{ctm} }}}_{{}} \)

–

CIDAR (Australia)

2006

\( L_{e} = \sqrt {\frac{{E_{f} t_{f} }}{{\sqrt {f_{c}^{\prime } } }}} \)

Chen and Teng (2001); \( L_{e} = \sqrt {\frac{{E_{f} t_{f} }}{{\sqrt {f_{c}^{\prime } } }}} \)

–

2009

\( L_{e} = 0.012t_{f} \left( {\frac{{E_{f} }}{{\sqrt {f_{c}^{\prime } } }}} \right) \)

Ben Ouezdou et al. (2009); \( L_{e} = 0.012t_{f} \left( {\frac{{E_{f} }}{{\sqrt {f_{c}^{\prime } } }}} \right) \)

–

2009

\( L_{e} = \frac{{\varepsilon_{f} E_{f} t_{f} }}{{k\sqrt {f_{c}^{\prime } } }} \)

Bakay et al. (2009); \( L_{e} = \frac{{\varepsilon_{f} E_{f} t_{f} }}{{k\sqrt {f_{c}^{\prime } } }} \)

  1. Expanded from the research by Ben Ouezdou et al. (2009).
  2. E f FRP elastic modulus, L e effective bond length, \( f^{\prime }_{c} \) concrete strength, f ctm mean tensile concrete strength, n number of FRP layers, t f FRP thickness, k test constant, ε f FRP strain.