# Developing a Library of Shear Walls Database and the Neural Network Based Predictive Meta-Model
## 4 Library of Shear Wall Database  
As stated in Section 1, a comprehensive library of SW databases is collected. It includes about 300 samples with 12 features for SPSWs, and about 4000 samples with 13 features for the RCSWs. Those features are listed in Tables 1 and 2. It should be noted that the SPSW models are without stiffener, slip, and opening and are non-corrugated. \begin{table}
\begin{tabular}{l c c c c c c} \hline \hline
**Parameter** & **Symbol** & **Unit** & **Min** & **Max** & **Mean** & **STD** \\ \hline Frame Height & \(h_{f}\) & mm & 500 & 1830 & 1073 & 283 \\ Frame Width & \(b_{f}\) & mm & 500 & 3660 & 1747.8 & 712.2 \\ Column Area & \(A_{c}\) & mm\({}^{2}\) & 1070 & 18190 & 7598.5 & 4424.9 \\ Column Moment of Inertia & \(l_{c}\) & mm\({}^{4}\) & 864,000 & 3.47 \(\times 10^{8}\) & 7.00 \(\times 10^{7}\) & 8.70 \(\times 10^{7}\) \\ Beam Area & \(A_{b}\) & mm\({}^{2}\) & 1070 & 16,300 & 6163.1 & 3682 \\ Beam Moment of Inertia & \(l_{b}\) & mm\({}^{4}\) & 864,000 & 6.37 \(\times 10^{8}\) & 6.10 \(\times 10^{7}\) & 1.20 \(\times 10^{8}\) \\ Plate Height & \(h_{p}\) & mm & 380 & 1500 & 1034 & 318.3 \\ Plate Width & \(b_{p}\) & mm & 380 & 3337 & 1360.8 & 668.8 \\ Plate Thickness & \(t_{p}\) & mm & 0.5 & 15 & 3.79 & 3.12 \\ Plate Yield Stress & \(F_{yp}\) & Pa & 295,000 & 4.20 \(\times 10^{8}\) & 2.50 \(\times 10^{8}\) & 1.00 \(\times 10^{8}\) \\ Plate Ultimate Stress & \(F_{xp}\) & Pa & 2.60 \(\times 10^{8}\) & 5.60 \(\times 10^{8}\) & 4.10 \(\times 10^{8}\) & 9.60 \(\times 10^{7}\) \\ Plate Modulus of Elasticity & \(E_{p}\) & Pa & 1.50 \(\times 10^{11}\) & 2.00 \(\times 10^{11}\) & 1.80 \(\times 10^{11}\) & 2.20 \(\times 10^{10}\) \\ Load Bearing Capacity & \(p\) & N & 11,480 & 3,020,000 & 1,056,303 & 795,832 \\ Lateral Stiffness & \(K\) & N/mm & 2380 & 181,000 & 68,983.2 & 45,897 \\ \hline \hline \end{tabular}
\end{table} 
Table 1: Statistics of the parameters in SPSW model. \begin{table}
\begin{tabular}{l c c c c c c} \hline \hline
**Parameter** & **Symbol** & **Unit** & **Min** & **Max** & **Mean** & **STD** \\ \hline Axial Load & \(A.L\) & kN & 0 & 3192 & 323 & 514.1 \\ Boundary Element Length & \(W_{1b}\) & mm & 0 & 380 & 123.6 & 99.6 \\ Boundary Element Width & \(W_{2b}\) & mm & 0 & 610 & 142.7 & 129 \\ Vertical Column Reinforcement Ratio & \(\rho_{cc}\) & \% & 0 & 14.33 & 2.3 & 2.62 \\ Horizontal Column Reinforcement Ratio & \(\rho_{ch}\) & \% & 0 & 6.69 & 0.75 & 0.93 \\ Yield Stress of Column Reinforcement & \(F_{yc}\) & MPa & 276 & 1412 & 495.6 & 181.6 \\ Wall Height & \(h_{br}\) & mm & 476 & 11,760 & 1812.5 & 1210.3 \\ Wall Width & \(l_{br}\) & mm & 450 & 5400 & 1389.2 & 685.2 \\ Wall Thickness & \(t_{w}\) & mm & 45 & 240 & 115 & 47 \\ Vertical Wall Reinforcement Ratio & \(\rho_{vw}\) & \% & 0 & 14.33 & 0.74 & 1.47 \\ Horizontal Wall Reinforcement Ratio & \(\rho_{thr}\) & \% & 0 & 6.69 & 0.47 & 0.54 \\ Yield Stress of Wall Reinforcement & \(F_{ym}\) & MPa & 216 & 1412 & 503.2 & 190.2 \\ Concrete Compressive Strength & \(f_{c}^{\prime}\) & MPa & 9.5 & 93.6 & 35.3 & 14.6 \\ Lateral Load Bearing & \(p\) & kN & 15.42 & 3230.7 & 530.2 & 500 \\ Lateral Stiffness & \(K\) & kN/mm & 3.29 & 2933.7 & 209 & 341.8 \\ Drift Ratio & \(D\) & \% & 0.21 & 6.9 & 1.65 & 1.05 \\ \hline \hline \end{tabular}
\end{table} 
Table 2: Statistics of the parameters in RCSW model. Figure 1 illustrates the dimensions used for a generic SPSW and RCSW. Tables A1 and A2 (see Appendix A) illustrate the detailed library of SW database for steel plate and reinforced concrete walls, respectively. Feature selection should be included in all the aspects of the problem. The input parameters are in a wide range of variations, and should be normalized before using in the meta-model. Therefore, the data were linearly normalized in range of \([0,1]\). This linear transformation preserves all the relationships of the initial database [53]. Initial weights were selected randomly focusing on the range of \([-0.77,+0.77]\).