# Development of a New Rubber Buckling-Restrained Brace System for Structures
## 9 Results and Performance Evaluation
### Performance Evaluation
#### 9.4.2 Hinge Formation Results in Structural Pushover Analysis
\begin{table}
\begin{tabular}{c c c c c c c c c} \hline \hline  & & **Base Force** & **Displacement** & **Number of Failure in** & **Percentage of Plastic** & **Percentage of Plastic** & **Percentage of Plastic** & **Hinges Formed in** \\
**Ground Motions** & **Frames** & **(km)** & **Hinges Formed in** & **Hinges Formed in** & **LS-CP** & **>CP** & **Total Hinges** \\ \hline \multirow{3}{*}{\begin{tabular}{c} PUSHOVER\_X \\ DBE \\ \end{tabular} } & Bare & 1356 & 106.51 & - & 681 & 28 & 271 & 298 & 1278 \\ \cline{2-10}  & BRB & 1376 & 95.04 & 12 & 981 & 157 & 127 & 13 & 1278 \\ \cline{2-10}  & RBRB & 1828 & 72.77 & 3 & 1063 & 203 & 7 & 5 & 1278 \\ \hline \multirow{3}{*}{\begin{tabular}{c} PUSHOVER\_X \\ MCE \\ \end{tabular} } & Bare & 1578 & 159.05 & - & 681 & 28 & 270 & 299 & 1278 \\ \cline{2-10}  & BRB & 1778 & 143.39 & 29 & 973 & 149 & 156 & 24 & 1278 \\ \cline{2-10}  & RBRB & 1955 & 101.38 & 7 & 1052 & 214 & 12 & 9 & 1278 \\ \hline \multirow{3}{*}{\
\begin{tabular}{c} PUSHOVER\_Y \\ DBE \\ \end{tabular} } & Bare & 1096 & 319.21 & - & 679 & 28 & 271 & 300 & 1278 \\ \cline{2-10}  & BRB & 1257 & 81.86 & 18 & 987 & 172 & 119 & 15 & 1278 \\ \cline{2-10}  & RBRB & 1445 & 53.85 & 5 & 1083 & 189 & 6 & 7 & 1278 \\ \hline \multirow{3}{*}{
\begin{tabular}{c} PUSHOVER\_Y \\ MCE \\ \end{tabular} } & Bare & 1736 & 475.48 & - & 676 & 31 & 267 & 304 & 1278 \\ \cline{2-10}  & BRB & 1815 & 132.48 & 37 & 987 & 157 & 112 & 22 & 1278 \\ \cline{2-10}  & RBRB & 2222 & 82.12 & 9 & 1058 & 199 & 10 & 11 & 1278 \\ \hline \hline \end{tabular}
\end{table} 
Table 19: Pushover analysis results for DBE and MCE hazard level in X and Y-directions. \begin{table}
\begin{tabular}{c c c c c} \hline \hline \multirow{2}{*}{**MCE**} & \begin{tabular}{c} **Percentage of Plastic** \\ **Hinges Formed in** \\ **A-IO** \\ \end{tabular} & \begin{tabular}{c} **Percentage of Plastic** \\ **Hinges Formed in** \\ **IO-LS** \\ \end{tabular} & \
\begin{tabular}{c} **Percentage of Plastic** \\ **Hinges Formed in** \\ **LS-CP** \\ \end{tabular} &
\begin{tabular}{c} **Percentage of Plastic** \\ **Hinges Formed in** \\ **Hinges Formed in** \\ **\end{tabular} \\ \hline BARE & 53 & 3 & 21 & 23 \\ \hline BRB & 76 & 10 & 12 & 2 \\ \hline RBRB & 82 & 16.4 & 0.9 & 0.7 \\ \hline \hline \end{tabular}
\end{table} 
Table 22: Plastic hinge status in MCE-hazard-level X-direction. \begin{table}
\begin{tabular}{c c c c c} \hline \hline \multirow{2}{*}{**DBE**} & \begin{tabular}{c} **Percentage of Plastic** \\ **Hinges Formed in** \\ **A-IO** \\ \end{tabular} & \begin{tabular}{c} **Percentage of Plastic** \\ **Hinges Formed in** \\ **IO-LS** \\ \end{tabular} & \
\begin{tabular}{c} **Percentage of Plastic** \\ **Hinges Formed in** \\ **LS-CP** \\ \end{tabular} &
\begin{tabular}{c} **Percentage of Plastic** \\ **Hinges Formed in** \\ **\end{tabular} \\ \hline BARE & 53 & 2 & 21 & 24 \\ \hline BRB & 77 & 13.5 & 9 & 1.5 \\ \hline RBRB & 84 & 15 & 0.5 & 0.5 \\ \hline \hline \end{tabular}
\end{table} 
Table 21: Plastic hinge status in DBE-hazard-level Y-direction. \begin{table}
\begin{tabular}{c c c c} \hline \hline \multirow{2}{*}{**MCE**} & \begin{tabular}{c} **Percentage of Plastic** \\ **Hinges Formed in** \\ **A-IO** \\ \end{tabular} & \begin{tabular}{c} **Percentage of Plastic** \\ **Hinges Formed in** \\ **IO-LS** \\ \end{tabular} & \
\begin{tabular}{c} **Percentage of Plastic** \\ **Hinges Formed in** \\ **LS-CP** \\ \end{tabular} &
\begin{tabular}{c} **Percentage of Plastic** \\ **Hinges Formed in** \\ **\end{tabular} \\ \hline BARE & 53 & 3 & 21 & 23 \\ \hline BARE & 53 & 3 & 21 & 23 \\ \hline BRB & 77 & 12 & 8.5 & 2.5 \\ \hline RBRB & 83 & 15.5 & 0.7 & 0.8 \\ \hline \hline \end{tabular}
\end{table} 
Table 23: Plastic hinge status in MCE-hazard-level Y-direction. Figure 58: Plastic hinge status in DBE-hazard-level X-direction. (**a**) Percentage of plastic hinges formed in A-IO. (**b**) Percentage of plastic hinges formed in IO-LS. (**c**) Percentage of plastic hinges formed in LS-CP. (**d**) Percentage of plastic hinges formed in \(>\)CP.