## 3 A Demonstration of the Proposed Framework: A Case Study
### Prototype Building Description
For example, the drift threshold of 1.0% for DS2 in unbonded joints reflects the initiation of visible cracking and the onset of loss of recentering behavior, while thresholds exceeding 2.0% for DS3 indicate joint degradation and local concrete crushing. The dispersion values reflect the statistical variability in component response due to material heterogeneity, connection detailing, and ground motion uncertainty. These values were informed by both empirical fragility datasets and observed test results, ensuring that the recovery modeling reflects realistic post-earthquake damage progression and variability. \begin{table} \begin{tabular}{c c c c c c c c} \hline \hline
**PG No.** & **Type** & **Story** & **Components** & **FEMA P58 ID** & **EDP** & \
\begin{tabular}{c} **Median** \\ **Demand** \\ \end{tabular} &
\begin{tabular}{c} **Data** \\ **Dispersion** \\ \end{tabular} \\ \hline
1 & S & 1–4 &
\begin{tabular}{c} MT connection \\ (Beam yield, weak joints) \\ \end{tabular} & B1041.031b & \(\text{du}_{\text{i}}\) & 1.75\% & 0.20 \\ \hline
2 & S & 1–4 & Beams yield & B1041.001b & \(\text{du}_{\text{i}}\) & 2.00\% & 0.28 \\ \hline
3 & S & 1–4 & Columns yield & B1041.061b & \(\text{du}_{\text{i}}\) & 1.50\% & 0.27 \\ \hline
4 & N & 1–4 & Curtain walls (outside) & B2022.001 & \(\text{du}_{\text{i}}\) & 3.38\% & 0.08 \\ \hline
5 & N & 1–4 & RC flat slab & B1049.002b & \(\text{du}_{\text{i}}\) & 2.00\% & 0.38 \\ \hline
6 & N & 1–4 & Prefabricated stair & C2011.011b & \(\text{du}_{\text{i}}\) & 0.50\% & 0.23 \\ \hline
7 & N & 1–4 & Wall partition (inside) & C3011.002a & \(\text{du}_{\text{i}}\) & 0.21\% & 0.38 \\ \hline
8 & N & 1–4 & Suspended ceiling & C3032.003a & \(\text{a}_{\text{i}}\) & 0.55 g & 0.23 \\ \hline
9 & N & 1–4 &
\begin{tabular}{c} Independent pendant \\ lighting \\ \end{tabular} & C3034.001 & \(\text{a}_{\text{i}}\) & 0.60 g & 1.00 \\ \hline
10 & N & 1–4 & Cold or hot potable & D2021.011a & \(\text{a}_{\text{i}}\) & 1.50 g & 0.38 \\ \hline
11 & N & 1–4 & Sanitary waste piping & D2031.011b & \(\text{a}_{\text{i}}\) & 1.20 g & 0.38 \\ \hline
12 & N & 1–4 & Compressor & D3032.011a & \(\text{a}_{\text{i}}\) & 0.25 g & 1.00 \\ \hline
13 & N & 1–4 & HVAC & D3041.001a & \(\text{a}_{\text{i}}\) & 1.92 g & 0.38 \\ \hline
14 & N & 1–4 & Low voltage switchgear & D5012.021a & \(\text{a}_{\text{i}}\) & 1.28 g & 1.00 \\ \hline
15 & N & 1–4 & Distribution panel & D5012.031a & \(\text{a}_{\text{i}}\) & 2.16 g & 1.00 \\ \hline
16 & N & 1–4 & Power source & Outer power & \(\text{a}_{\text{i}}\) & 1.00 g & 0.00 \\ \hline
17 & N & 1–4 & Water source & Outer water & \(\text{a}_{\text{i}}\) & 1.00 g & 0.00 \\ \hline
18 & C & 1–4 &
\begin{tabular}{c} Modular office work \\ stations \\ \end{tabular} & E2022.001 & \(\text{a}_{\text{i}}\) & 1.00 g & 0.00 \\ \hline
19 & C & 1–4 &
\begin{tabular}{c} Unsecured fragile objects \\ on shelves \\ \end{tabular} & E2022.010 & \(\text{a}_{\text{i}}\) & 0.40 g & 0.40 \\ \hline
20 & C & 1–4 &
\begin{tabular}{c} Electronic equipment on \\ wall mount brackets \\ \end{tabular} & E2022.021 & \(\text{a}_{\text{i}}\) & 2.50 g & 0.40 \\ \hline
21 & C & 1–4 & Desktop electronics & E2022.022 & \(\text{a}_{\text{i}}\) & 1.00 g & 0.40 \\ \hline
22 & C & 1–4 & Bookcase & E2022.102b & \(\text{a}_{\text{i}}\) & 0.72 g & 0.40 \\ \hline \hline \end{tabular}   
\begin{tabular}{c c c c c c c} \hline \hline
**PG No. ** & **Type** & **Story** & **Components** & **FEMA P58 ID** & **EDP** & \ \begin{tabular}{c} **Median** \\ **Demand** \\ \end{tabular}  & \begin{tabular}{c} **Data** \\ **Dispersion** \\ \end{tabular}  \\ \hline
1 & S & 1–4 & \begin{tabular}{c} MT connection \\ (Beam yield, weak joints) \\ \end{tabular}