PSI - Issue 55

Isabel Turbay et al. / Procedia Structural Integrity 55 (2024) 168–176 Author name / Structural Integrity Procedia 00 (2019) 000 – 000

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also shows two other groups of variables that are close or close to the second axis F2 and have coordinate values close to 1 (traffic, land use and inadequate occupation of public space) and -1 (level of use) also, they have a value with respect to the first axis F1 close to zero. This indicates that there is a high correlation close to -1 (negative) between both groups of variables. This case could be important since churches located on streets with a high level of vehicular traffic are also located in areas with commercial and service-type land use, which generates negative urban dynamics.

Variables (F1 and F2 axes)

1

Traffic

Inadequate occupation of public space

0,75

seismic vulnerability

land use

Simplicity of the constructive solution

0,5

cataloguing

Roofs

Inadequate interventions

VI e1%

0,25

urban landscape

VI e2%

0

Maintenance

F2

Physicochemical characteristics

-0,25

Structure

Coatings

Facilities

VI p %

VI %

Fire resistance

Texture

-0,5

foundation

level of use

-0,75

-1

-1

-0,75

-0,5

-0,25

0

0,25

0,5

0,75

1

F1

Active Variables

Supplementary Variables

Fig. 1. Circle of correlations of the main axes.

3.3. Application of the statistical study using PCA to understand the global vulnerability of the churches studied. The Biplot graph of F1 and F2 axes (Fig. 2) shows a summary of PCA, where some trends can be identified relating the churches and their main threats. Fig. 2 shows the case of San Agustín (AGU) and San Francisco (SFP) in Popayan, their vulnerability is mainly affected by land use and inadequate occupation of public space, while San José (JOS) in Popayan is significantly affected by inadequate interventions since the earthquake occurred in 1983. Fig. 2 also shows interesting diagnosis assessment in La Antigua, El Calvario (CAL) is affected by the lack of maintenance, Escuela de Cristo (ESC) is affected by the physical-chemical characteristics, structure, foundation, construction system and texture, all related to the state of conservation of the building, Belen (BEL) and Guadalupe (LUP) are affected by the state of the facilities and the level of use, in accordance with the little activity of the church and unsafe conditions of the facilities.