Table 2 Existing formulas for shear capacity of reinforced SFRC slender beams without web rebars.
Ref. No | Expression |
|---|---|
\(V_{{{\text{uc}}}} = \left( {e_{{\text{a}}} \left( {0.24f_{{{\text{spt}}}} + 80{\rho \mathord{\left/ {\vphantom {\rho \lambda }} \right. \kern-0pt} \lambda }} \right) + v_{{\text{b}}} } \right)bd\) (1) | |
where ea = 1 for λ > 2.8, and ea = 2.8/λ for λ ≤ 2.8 | |
\(V_{{{\text{uc}}}} = \left[ {\left( {2.11\sqrt[3]{{f_{{\text{c}}} ^{\prime } }} + 7F} \right)\left( {\frac{\rho }{\lambda }} \right)^{{1/3}} } \right]bd\quad {\text{for}}\lambda \, \ge \,{\text{2}}.\) (2) | |
\(V_{{{\text{uc}}}} = \left\{ {\left[ {\left( {2.11\sqrt[3]{{f_{{\text{c}}}^{\prime } }} + 7F} \right)\left( {\frac{\rho }{\lambda }} \right)^{1/3} } \right]\frac{2.5}{\lambda } + v_{{\text{b}}} \left( {2.5 - \lambda } \right)} \right\}bd\quad {\text{for}}\lambda \, < \,{2}.{5}\) (3) | |
\(V_{{{\text{uc}}}} = \left[ {3.7ef_{{{\text{spt}}}}^{2/3} \left( {\frac{\rho }{\lambda }} \right)^{1/3} + 0.8v_{{\text{b}}} } \right]bd\) (4) | |
where e = 1 for λ > 3.4, and e = 3.4/λ for λ ≤ 3.4 | |
\(V_{{{\text{uc}}}} = \frac{0.115 + 0.192\lambda + 28.7\rho }{{\lambda - 0.6}}f_{{{\text{ft}}}} bd\) (5) | |
where λ = 4.5 for λ ≥ 4.5, and ρ = 4.0% for ρ ≥ 4.0% | |
\(V_{{{\text{uc}}}} = \left[ {\left( {0.2\left( {f_{{\text{c}}}^{\prime } } \right)^{2/3} \frac{c}{d} + \sqrt {\rho \left( {1 + 4F} \right)f_{{\text{c}}}^{\prime } } } \right)\sqrt[3]{{\frac{3}{\lambda }}}} \right]bd\) (6) | |
\(\left( \frac{c}{d} \right)^{2} + \left( {\frac{600\rho }{{f\frac{\prime }{c}}}} \right)\left( \frac{c}{d} \right) - \left( {\frac{600\rho }{{f\frac{\prime }{c}}}} \right) = 0\) (7) |
