Drawing a fragility curve using rotation in ETABS through time history analysis involves several steps. A fragility curve represents the probability of structural damage at various ground motion intensity levels. In this case, you want to consider rotation as a measure of structural damage. Here's a simplified guide:
Create the ETABS Model:
Import or create your structural model in ETABS. Ensure that it's properly defined with materials, elements, and boundary conditions.
Define Response Spectrum Function:
In ETABS, you need to define the rotational response spectrum. Go to "Define" > "Function" > "Response Spectrum" and create a new response spectrum function for rotation.
Define Time History Analysis Parameters:
Set up your time history analysis parameters. Go to "Analysis" > "Time History Options" to define load cases, time steps, damping ratios, and other analysis settings.
Apply Ground Motions:
Import or define your ground motion records in ETABS. Go to "Define" > "Time History" and specify the ground motion records for your analysis.
Assign Ground Motions to Load Cases:
Assign the ground motions to the respective load cases for your structure.
Perform Time History Analysis:
Run the time history analysis by selecting "Run Analysis" or a similar option in ETABS.
Define Damage Thresholds:
Determine rotation thresholds that correspond to different levels of structural damage. These thresholds will be used to categorize the results.
Post-Processing:
After analysis, review the results to extract rotation values for different time steps or nodes/elements in your structure.
Create Fragility Curves:
Calculate the probability of exceeding the damage thresholds for each ground motion record. This typically involves post-processing the analysis results using scripts or custom tools.
Plot the Fragility Curve:
Use a software tool like Excel, MATLAB, or Python to plot the fragility curve. The x-axis represents ground motion intensity (e.g., spectral acceleration), and the y-axis represents the probability of exceeding the rotation threshold.
Interpret and Analyze:
Analyze the fragility curve to understand how the structure's rotation response relates to different ground motion levels.
Keep in mind that this is a high-level overview, and the exact steps may vary depending on the complexity of your structure and analysis requirements. Additionally, scripting or programming may be necessary to automate the process of extracting results and creating the fragility curve. Ensure you have a good understanding of ETABS and structural analysis principles before attempting this task.