Table 3 Design formulas for ensuring serviceability and reparability of HSRC beam members.
Performance points | Allowable shear stress (MPa) | ||
|---|---|---|---|
Long-term loading | Serviceability | Shear crack | \( v_{cr} = \phi \times 0.33\sqrt {f_{c}^{\prime} } /\kappa \) \( \phi = 3\left( {\frac{a}{d}} \right)^{ - 1.8} \left( {0.35 \le \phi \le 1.0} \right) \) |
Peak maximum shear crack width of 0.4Â mm | \( v_{ser} = \frac{{\phi \times 0.33\sqrt {f_{c}^{\prime} } }}{{{\upkappa }}} + 0.15p_{w} f_{yt} \) \( \phi = 3\left( {\frac{a}{d}} \right)^{ - 1.8} \left( {0.35 \le \phi \le 1.0} \right) \) | ||
Short-term loading | Reparability | Peak maximum shear crack width of 1.0Â mm | \( v_{rep} = 0.27\alpha \sqrt {f_{c}^{\prime} } + 0.20p_{w} f_{yt} \) |