Masonry Building Retrofit Cost Model

Class Name

• RMasonryBuildingRetrofitCostModel

Building Damage

• Models > Model > Consequence > Economic > Masonry Building Retrofit Cost

Model Description

Model Form

$$\ln(\frac{c_a}{c}) = -5.232 \cdot 10^{-7} \cdot (\frac{c}{A}) - 3.849 \cdot 10^{-4} \cdot A + 0.205 \cdot \tan^{-1}(\alpha) + \theta_1 \cdot D + \theta_2 \cdot M + \theta_0*(1-1.825 \cdot 10^{-7} \cdot (\frac{c}{A}) - 2.106 \cdot 10^{-4} \cdot A - 0.188 \cdot \tan^{-1}(\alpha)) + \varepsilon $$ $$c_0 = \exp(\ln(\frac{c_a}{c})) \cdot c \cdot A \cdot \varepsilon_c $$ Important Notes:
• This model assumes Shotcrete as the retrofit method.
• The cost of retrofit operation is computed once it is completed (i.e. the retrofit status changes to 1), otherwise it is 0.
• To use this model in analyzers other than Discrete Event Sampling Anlyzer, the "RetrofitStatus" property must be a constant parameter with current value of 1
• For further information on this model, refer to Talebiyan, H. (2016).

DDM sensitivities

• No

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.

RetrofitType

• Determines the retrofit method: Shotcrete, steel belt, or Fibre-reinforced plastic (FRP).

With Tie Column

• \(M\) = masonry type, which is zero for CM (with tie column) and unity for URM (without tie column).

Rigid Diaphragm

• \(D\) = diaphragm type, which is zero for flexible diaphragms and unity for the rigid ones.

Building Information Model

• A Building Information Model object that returns the total area, \({A}\), to this model.

Alpha

• \(\alpha\) = percentage of increase in lateral strength of structure due to retrofit, i.e., retrofit level.

Theta0 - Theta2

• \({\theta_0}\) - \({\theta_2}\) = masonry retrofit cost model parameters.

Epsilon

• \({\varepsilon}\) = masonry retrofit cost model error.

Sigma

• \({\sigma}\) = standard deviation of the masonry retrofit cost model error.

Cost Epsilon

• \({\varepsilon_c}\) = masonry cost model error.

Unit Area Replacement Cost

• \({c}\) = replacement cost per unit area of the building.

Retrofit Status

• \({\varsigma}\) = Status of retrofit operation (1 if completed, 0 otherwise).

Output

• \({c_o}\) = retrofit cost of the building.
• The output is an automatically generated generic response object, which takes the object name of the model plus “Response”.

Right-click Menu

Remove

• Removes the object.

References

• Talebiyan, H. (2016) “Optimal seismic risk mitigation by prioritization of structures for retrofit.,” Master's Thesis, Sharif Univ. of Technology, Tehran, Iran (DOI)

• Nasrazadani, H., Mahsuli, M., Talebiyan, H., Kashani, H. (2017) “Probabilistic modeling framework for prediction of seismic retrofit cost of buildings,” ASCE Journal of Construction Engineering and Management, 143(8): 04017055 (DOI)