# Concrete Intermediate Moment Frame Interior Joint Damage Model

## Class Name

- RConcreteIntermediateMomentFrameInteriorJointDamageModel

## Location in Objects Pane

- Models > Model > Consequence > Economic > Concrete Intermediate Moment Frame Interior Joint Damage

## Model Description

### Model Form

This model predicts damage ratio in Concrete Intermediate Moment Frame Interior Joint:
$$ {\Phi^{-1}}(\eta) = {\theta_1}\cdot(\ln(\delta) - 4.48( \ln({{d_b} \over {l_b}} ) +9.055{{d_b} \over {l_b}} )) + 30.415 {{d_b} \over {l_b}} + 3.3\ln({{d_b} \over {l_b}}) + \epsilon \cdot \sigma$$
where, \({\Phi^{-1}}\) is the probit function.
- For further information on this model, refer to Aghababaei, M., Mahsuli, M. (2019) and Aghababaei, M., Mahsuli, M. (2018).

### DDM sensitivities

## Properties

### Object Name

- Name of the object in Rt
- Allowable characters are upper-case and lower-case letters, numbers, and underscore (“_”).
- The name is unique and case-sensitive.

### Display Output

- Determines whether the model is allowed to print messages to the Output Pane.

### Beam Depth

### Beam Length

### Inter-story Drift Ratio

- \({\delta}\) = Inter-story drift ratio

### Theta1

- \({\theta_1}\) = Model parameter

### Sigma

- \({\sigma}\) = Standard deviation of the model error

### Epsilon

- \({\varepsilon}\) = model error; a standard normal random variable

## Output (Automatically generated generic response object)

- \({\eta}\) = Damage ratio

## Right-click Menu

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## References

- Aghababaei, M., Mahsuli, M. (2019) “Component damage models for detailed seismic risk analysis using structural reliability methods,” Structural Safety, 76, pp. 108-122 (DOI)
- Aghababaei, M., Mahsuli, M. (2018) “Detailed seismic risk analysis of buildings using structural reliability methods,” Probabilistic Engineering Mechanics, 53, pp. 23-38 (DOI)