Table 2 Empirical bond–slip models.
Researcher | Equation |
|---|---|
Rehm (1961) | \(\tau = f_{{\text{c,cub}}} \left( {\varphi s^{\alpha } \pm \psi s} \right)\) |
Nilson (1968) | \(\tau = 998.4s - 58,400s^{2} + 852,200s^{3}\) |
Martin (1973) | \(\tau = \tau_{0} + as^{b}\) |
Mirza and Houde (1979) | \(\tau = 539.8s - 25,610s^{2} + 592,200s^{3} - 5,574,000s^{4}\) |
Eligehausen et al. (1982) | \(\tau = \tau_{max} \left( {\frac{s}{{s_{1} }}} \right)^{\alpha }\), where \(0 \le s \le s_{1}\) |
Comité Euro-International du Béton (1993) | \(\tau = \tau_{max} ,\) when \(s_{1} < s \le s_{2}\) \(\tau = \tau_{max} - \left( {\tau_{max} - \tau_{f} } \right)\frac{{s - s_{2} }}{{s_{3} - s_{2} }}\), when \(s_{2} < s \le s_{3}\) \(\tau = \tau_{{\text{f}}}\), when \(s_{3} < s\) |
Wu and Zhao (2013) | \(\tau = \frac{{\tau_{{{\text{max}}}} }}{{\left[ {e^{{ - B\,\,{\text{ln}}\left( {B/D} \right)/\left( {B - D} \right)}} - e^{{ - D\,\,{\text{ln}}\left( {B/D} \right)/\left( {B - D} \right)}} } \right]}}\left( {e^{Bs} - e^{Ds} } \right)\), where \(B = \frac{{0.0254 + K_{t} }}{{ - 0.0232 - 8.34K_{t} }}\), \(D = 3{\text{ln}}\left( {\frac{0.7315 + K}{{5.176 + 0.3333K}} - 0.13} \right) - 3.375\) and \(K = K_{{{\text{co}}}} + 7K_{t}\) |