## 3 New Shear Resistance Formula for the Y-Type Perfobond Rib Shear Connector
### Current Shear Resistance Formula
\begin{table}
\begin{tabular}{c c c c c c c c c c c c c} \hline \hline \multirow{2}{*}{**Test No.**} & \(n^{\textbf{1,2}}\) & \(t^{\textbf{1}}\)) & \(w^{\textbf{1}}\)) & \(h^{\textbf{1}}\)) & \(d_{r}\)\({}^{\textbf{2}}\)) & \(f_{y}^{\textbf{1}}\)) & \(f_{yr}\)\({}^{\textbf{2}}\) & \(f_{ck}\)\({}^{\textbf{3}}\)) & \(P_{u}\) & **Average** & \multirow{2}{*}{**Reference**} \\ \cline{2-11}  & & **(ribs)** & **(mm)** & **(mm)** & **(mm)** & **(mm)** & **(MPa)** & **(MPa)** & **(MPa)** & **(kN)** & **(kN)** & **(kN)** \\ \hline
4R-1 & \(-1\) & 4 & 10 & 80 & 100 & 16 & 235 & 400 & 30.4 & 1687.4 & 1671.9 & [4] \\  & \(-2\) & & & & & & & 1636.8 & & & \\  & \(-3\) & & & & & & & 1691.3 & & & \\
4R-2 & \(-1\) & 4 & 10 & 80 & 100 & 16 & 235 & 400 & 41.7 & 1821.0 & 1788.8 & [18] \\  & \(-2\) & & & & & & & & 1746.7 & & \\  & \(-3\) & & & & & & & & 1798.7 & & \\
4R-3 & \(-1\) & 4 & 12 & 80 & 100 & 16 & 235 & 400 & 41.7 & 2003.1 & 1972.9 & [18] \\  & \(-2\) & & & & & & & & 1935.3 & & \\  & \(-3\) & & & & & & & 1980.4 & & & \\
4R-4 & \(-1\) & 4 & 10 & 80 & 100 & 16 & 235 & 400 & 42.2 & 1811.1 & 1803.3 & [4] \\  & \(-2\) & & & & & & & & 1789.1 & & \\  & \(-3\) & & & & & & & & 1809.8 & & \\
4R-5 & \(-1\) & 4 & 10 & 80 & 100 & 16 & 235 & 400 & 43.8 & 1640.6 & 1728.6 & [19] \\  & \(-2\) & & & & & & & & 1746.8 & & \\
4R-6 & \(-1\) & 4 & 10 & 80 & 100 & 16 & 235 & 400 & 51.0 & 1949.0 & 1925.4 & [18] \\  & \(-2\) & & & & & & & & 1923.7 & & \\  & \(-3\) & & & & & & & & 1903.4 & & \\
4R-7 & \(-1\) & 4 & 10 & 80 & 100 & 16 & 235 & 400 & 50.7 & 2027.9 & 1948.1 & [20] \\  & \(-2\) & & & & & & & & 1903.9 & & \\  & \(-3\) & & & & & & & & 1912.5 & & \\
4R-8 & \(-1\) & 4 & 10 & 80 & 100 & 16 & 235 & 500 & 50.7 & 1969.0 & 1969.1 & [21] \\  & \(-2\) & & & & & & & & 2031.3 & & \\  & \(-3\) & & & & & & & & 1906.9 & & \\
4R-9 & \(-1\) & 4 & 10 & 80 & 100 & 16 & 315 & 400 & 52.9 & 2016.8 & 2115.8 & [22] \\  & \(-2\) & & & & & & & & 2137.5 & & \\  & \(-3\) & & & & & & & & 2193.0 & & \\
4R-10 & \(-1\) & 4 & 10 & 80 & 100 & 16 & 315 & 500 & 52.9 & 2107.5 & 2176.8 & [22] \\  & \(-2\) & & & & & & & & 2271.7 & & \\  & \(-3\) & & & & & & & & 2151.2 & & \\
4R-11 & \(-1\) & 4 & 10 & 80 & 100 & 16 & 315 & 400 & 62.4 & 2240.3 & 2228.5 & SD400-D16 \\  & \(-2\) & & & & & & & & 2234.3 & & (this study) \\
4R-12 & \(-1\) & 4 & 10 & 80 & 100 & 16 & 315 & 500 & 62.4 & 2321.3 & 2267.1 & SD500-D16 \\  & \(-2\) & & & & & & & & 2240.3 & & (this study) \\
4R-13 & \(-1\) & 4 & 10 & 80 & 100 & 19 & 235 & 400 & 43.8 & 2111.7 & 2011.1 & [17] \\  & \(-2\) & & & & & & & & 1903.9 & & \\  & \(-3\) & & & & & & & & 2017.7 & & \\
4R-14 & \(-1\) & 4 & 10 & 80 & 100 & 19 & 235 & 500 & 50.7 & 2124.4 & 2075.5 & [21] \\  & \(-2\) & & & & & & & & 2016.0 & & \\  & \(-3\) & & & & & & & & 2086.2 & & \\
4R-15 & \(-1\) & 4 & 10 & 80 & 100 & 19 & 315 & 400 & 62.4 & 2458.0 & 2470.1 & SD400-D19 \\  & \(-2\) & & & & & & & & 2456.1 & & (this study) \\
4R-16 & \(-1\) & 4 & 10 & 80 & 100 & 19 & 315 & 500 & 62.4 & 2493.2 & 2477.4 & SD500-D19 \\  & \(-2\) & & & & & & & & 2547.0 & & (this study) \\  & \(-3\) & & & & & & & & 2375.7 & & \\  & \(-4\) & & & & & & & 2493.7 & & \\
4R-17 & \(-1\) & 4 & 10 & 80 & 100 & 22 & 235 & 500 & 50.7 & 2214.0 & 2174.9 & [21] \\  & \(-2\) & & & & & & & & 2211.9 & & \\  & \(-3\) & & & & & & & & 2098.9 & & \\
4R-18 & \(-1\) & 4 & 10 & 80 & 100 & 22 & 315 & 500 & 62.4 & 2614.7 & 2635.6 & SD500-D22 \\  & \(-2\) & & & & & & & & 2656.5 & & (this study) \\ \hline \hline \end{tabular}
\end{table} 
Table 5: Shear resistance data from push-out tests and numerical evaluations. [PERSON] et al. have improved the shear resistance formula as various design variables were considered in previous studies [4; 17; 18; 19].