## 4 Economic Analysis for the Proposed Method
### Performance Group of Structural and Non-Structural Members  
The replacement cost is calculated as \((249.03\times 441\times 6)/10^{4}=65.9\) MUD (MUD represents one million/100 US dollars), in which 249.03 US dollars is the statistical construction cost of 1 m\({}^{2}\) at the building location [50], 441 m\({}^{2}\) is the slab area of one story (see Figure 1), and 6 is the number of stories. The total replacement cost includes the core, shell, and all tenant improvements and contents [49]. Considering that the building's function is a middle school, the total replacement cost is finally determined to be 76.7 MUD, including the cost due to structural replacement 65.9 MUD, and costs due to the damage of electronic teaching platforms, projectors, tables and chairs, blackboards, and computers (numbers and costs are provided in Table 8). Regarding the replacement time, including the foundation, upper structure, decoration, and elevator installation, etc., Table 9 provides the required workdays for each task according to the quota of construction information [51]. Figure 11: Average inter-story drift ratio (IDR) under frequent and rare earthquakes: (**a**) \(X\) direction, frequent earthquake; (**b**) \(X\) direction, rare earthquake; (**c**) \(Y\) direction, frequent earthquake; (**d**) \(Y\) direction, rare earthquake. \begin{table}
\begin{tabular}{c c c c c c} \hline \hline
**Group** & **Fragility ID [49]** & **EDP** & **Cost/Each (Unit: US Dollar)** & **Number in Each Story** & **Total Number** \\ \hline Teaching platform & E2202.020 & PFA & 194.3 & 10 & 60 \\ Projector & C3033.002 & PFA & 448.4 & 10 & 60 \\ Table and chair & E2022.020 & PFA & 14.9 & 300 & 1800 \\ Blackboard & E2022.021 & PFA & 29.9 & 10 & 60 \\ Computer & E2022.022 & PFA & 448.4 & 10 & 60 \\ \hline \hline \end{tabular}
\end{table} 
Table 8: Performance groups considered in the loss estimation of 6-story RC (reinforced concrete) frame. In the PACT software [49], members cataloged in the same performance group correspond to the same fragility curve. Table 10 provides the statistical structural and non-structural member information of the building. For the structural members, only the beam-column joint is set as a performance group because damage commonly occurred at the beam and column ends of the frame structures. Table 10 also gives the EDPs (Engineering Demand Parameters) used in the evaluation. IDR means that the member damage is sensitive to the inter-story drift ratio, and PFA means the member damage is sensitive to the peak floor acceleration. The fragility ID shows the fragility curves selected from the PACT software corresponding to the performance group. The costs of the performance groups in Table 10 are determined by using the built-in data in PACT software. Note that the performance groups in Table 8 are not built-in data in the PACT software, only similar fragility IDs are used and the costs are determined by their market prices. The cost of viscous dampers is proportional to the damping coefficient. After inquiring with several damper companies, the costs for viscous dampers in a single bay along the structural height in \(X\) direction were determined to be 4085, 3400, 1395, 127, 0, and 0 (a total of 9006 US dollars), and the costs for viscous dampers in a single bay along the structural height in \(Y\) direction are 6807, 5666, 2326, 211, 0, and 0 (a total of 15010 US dollars). Therefore, the total cost of all viscous dampers is (9006 \(\times\) 2