Table 1 Shear strength equations for connections in RCS composite systems.
ASCE | \( V_{b} = \frac{{\left[ {V_{s} \cdot d_{f} + 0.75V_{n} \cdot d_{w} + V_{n}^{'} \cdot \left( {d + d_{o} } \right)} \right]}}{{\left[ {\frac{{L_{b} }}{{L_{c} }}\left( {L_{c} - d} \right) - jh} \right]}} \) |
Kanno | \( V_{b} = \frac{0.9d}{{L_{b} - h}}\left( {V_{s} + V_{sf} + V_{n} + V_{n}^{'} } \right) \) |
M-Kanno | \( V_{b} = \frac{{\left( {V_{s} \cdot d_{f} + 0.75V_{n} \cdot d_{w} + V_{n}^{'} \cdot d} \right)}}{{\left[ {\frac{{L_{c} }}{{L_{b} }}\left( {L_{c} - d_{f} } \right)} \right]}} \) |
Parameters | Symbol | ASCE equation | Kanno equation | M-Kanno equation |
|---|---|---|---|---|
b o | C | C wt | max(C wt , C t ) | max(C wt , C t ) |
C wt | \( \left( {x/h} \right) \cdot \left( {y/b_{f} } \right) \le 1 \) | \( \left( {\frac{x}{h}} \right) \cdot \left( {0.3 + 0.7\frac{y}{{\bar{b}_{f} }}} \right) \le 1 \) | \( \left( {\frac{x}{h}} \right) \cdot \left( {0.3 + 0.7\frac{y}{{\bar{b}_{f} }}} \right) \le 1 \) | |
C t | – | \( \frac{1}{2.5}\left( {\frac{d}{{b - b_{i} }}} \right) \) | \( 0.7\left( {\frac{x}{h}} \right) \cdot \left( {0.3 + 0.7\frac{y}{{\bar{b}_{f} }}} \right) \) | |
b m | \( \frac{{\left( {b_{f} + b} \right)}}{2} \) | \( \frac{{\left( {\bar{b}_{f} + b} \right)}}{1.5} \) | \( \frac{{\left( {\bar{b}_{f} + b} \right)}}{1.5} \) | |
\( \bar{b}_{f} \) | b f | \( max(b_{i} ,\bar{y}) \le 2b_{f} \) \( \bar{y} = min\left( {y,b_{f} + n \cdot t_{s} } \right) \) | max(b i , y) ≤ 2b f | |
V s | jh | Iteration procedure | \( 0.8\;h\;({\text{No shear key}}) \) \( h\;(E - FBP, \;{\text{Band Plate}}) \) | 0.8 h |
V sf | V sf | – | 4M pf /d f | – |
V sf , V b | d j | – | 1.25d | 1.1d |
V ’ n | V ’ c | \( 0.4\sqrt {f_{ck} } \cdot b_{o} \cdot h \) | \( 1.05\sqrt {f_{ck} } \cdot b_{o} \cdot h \) | \( 1.05\sqrt {f_{ck} } \cdot b_{o} \cdot h \) |