# Characterisation of Portuguese RC Precast Industrial Building Stock

Authors: H. Rodrigues; R. Sousa; H. Vitorino; N. Batalha; H. Varum; P. Fernandes
Journal: Advances in Civil Engineering
 (2020)

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## Abstract

The construction of a vulnerability model requires reliable information on the features of the buildings in the study. The purpose of this work is the characterisation of the precast industrial buildings in Portuguese industrial park, based on the survey of 73 design projects of existing buildings. The collected data are based on a previous study on the features that influence the seismic response of this type of buildings. The parameters collected are associated with the global geometry and specific elements characteristics (e.g., column dimensions, reinforcement ratios, and connections details), to the mechanical properties of the materials and other parameters that can give some important information in the characterisation of the buildings (e.g., construction year and localization). In the end, a comparison with other available databases, namely, from Italy and Turkey, is done in order to conclude about the similarity. This information is important to define representative experimental specimens and numerical simulation to conduce seismic risk analysis.


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## Body

## 1. Introduction

The development of seismic risk studies requires the knowledge of the building characteristics of a given typology under analysis. The information of geometric and mechanical parameters allows the definition of reliable numerical models that can be used to derive fragility functions capable of describing the relation between the seismic intensity and building limit states.Contrarily to what is observed for residential buildings, limited information is available in regard to the properties of precast buildings. To the authors’ knowledge, in Portugal, only the study developed for the European Commission [1] presents a general description of the main typologies of the industrial building stock, but its information is insufficient to enable the development of representative numerical models.To overcome the previous limitation, a survey was carried out analysing the structural design project of dozens of industrial reinforced concrete (RC) buildings built in the Portuguese continental territory over the last 50 years. The statistical analysis of the information gathered provides indication on the material properties as well as the geometry typically used in industrial precast RC buildings.The present work provides the statistics associated with the properties that influence the seismic performance of these buildings. The information collected enabled the characterisation of the global geometry and the mechanical properties of the materials, as well as other local systems that may influence the seismic response of these buildings, such as columns size and reinforcement ratios, beam-to-column connection, and cladding systems.The results obtained were also compared against previous studies conducted in Italy [2] and Turkey [3], allowing the identification of common structural characteristics. The analysis of previous studies is also important to assess the possibility to derive common properties for the Mediterranean countries and assess the possibility to use common database that can be used to define representative experimental specimens and numerical simulation to conduce seismic risk analysis.


## 2. Portuguese Industrial Building Stock

This report attempts to identify and quantify the main structural properties of the RC precast buildings in Portugal. Considering that these buildings represent only a fraction of the total industrial facilities in Portugal, it appears important to put this typology in perspective within the Portuguese industrial reality.The study carried out for the European Commission [1] presents a general description of the main characteristics of the industrial building stock in Europe. Despite being mainly focused on prefabricated steel structures, this report provides also important indications on the overall characteristics of the industrial building stock, which includes RC precast buildings. As regards the buildings typologies, Figure 1 indicates that RC precast structures represent about 1/3 of the total industrial park in Portugal.Figure 1
Structural typologies found in Portugal [1].Despite not being directly linked to the buildings characteristics, the type of activity developed (Figure2) provides an indication on the size of the buildings and type of load admitted in the design process, which may condition the size of the structural elements. For example, in heavy industries, the presence of large capacity cranes is expected, as opposed to what is expected, for example, in warehousing buildings.Figure 2
Main activities performed in the industrial buildings in Portugal.Following the previous comment, it is not surprising to observe that the majority of the industrial buildings have only one bay along the main direction (assumed as longitudinal direction) and that in only 9% of the cases the buildings feature 3 or more spans (Figure3).Figure 3
Number of bays in industrial buildings.Regarding the main geometrical properties, Figure4 shows that the majority of buildings have a main span length between 20 and 30 m, whilst, along the transverse direction, the distance between two consecutive frames is essentially between 5 and 7 m. Finally, in terms of columns height, the study reveals that typically this varies between 6 and 8 m (Figure 5).Figure 4
Span length in the (a) longitudinal and (b) transverse directions.
(a)(b)Figure 5
Height of the columns.


## 3. Characteristics of RC Precast Buildings in Portugal

### 3.1. Overview

The database presented in this chapter was built based on the information collected after analysing 73 design projects of existing RC precast buildings in the Portuguese mainland. The identification of the buildings sought to reflect an adequate geographical and temporal representation. Regarding the geographical distribution, Figure6 shows a comparison between the location of the collected projects and the actual manufacturing industry according to the data available in Pordata [4]. The figure shows that, in both images, the buildings tend to be concentrated at the centre and northern regions of the Portuguese coast side.Figure 6
Location of industrial buildings in Portugal: (a) collected projects and (b) manufacturing industries in 2017.
(a)(b)Regarding the construction period, the buildings analysed were built over the last 50 years showing a clear concentration after 1990 (Figure7(a)). A first reason for this concentration is related with the very limited, or absent, information in the design project of older buildings. Moreover, until the 60s, the precast industry in Portugal was mainly focused on the construction of elements for slabs and cladding panels. It was only during the 70s that an important growth in the precast systems could be observed [5]. Figure 7(b) shows also the correlation between the year of construction and the seismic zones, showing that, for the buildings consulted, there is a tendency for a concentration of newer structures in the higher seismic zones (lower seismic hazard).Figure 7
(a) Distribution of number of buildings analysed by the year of the project. (b) Evolution of the seismic zone with the year of the project.
(a)(b)In addition to the location and period of construction, the characterisation of the RC precast buildings involved the collection of several structural parameters regarding the global geometry, material properties, columns section details, and beam-to-column connections, as described in Table1. The data, and corresponding statistics, associated with each property are presented in the following sections, together with additional, indirect, structural parameters that could provide important indications on the design principles adopted for different periods or regions.Table 1
List of properties collected for each RC precast building.
Global geometryTypologyNumber of storeysArea upper storeysBuilding heightNumber of spans in longitudinal directionNumber of spans in transverse directionSpan length in longitudinal directionSpan length in transverse directionType of claddingsMaterial propertiesConcrete compressive strengthReinforcement yield strengthColumn section detailsWidthLengthLongitudinal reinforcementTransverse reinforcementBeam-to-column connectionNumber of dowelsDowel diameterCorbel spanIn the following sections, the evolution of the properties defined in Table1 is evaluated considering a total of 73 buildings. However, it should be mentioned that in some design projects it was not possible to identify all properties, namely, the type of claddings and the beam-to-column connections.


### 3.2. Global Geometry

The first geometric property addressed regards the identification of the main typologies of precast RC buildings. Based on the survey carried out, it was possible to identify 4 main typologies that are illustrated and described in Figure8 and Table 2, respectively.Figure 8
Description of the main RC precast typologies identified in Portugal: (a) variable cross-section I shaped prestressed beams; (b) constant cross-section prestressed beams; (c) truss beams; (d) beam with Y shape at the connection.
(a)(b)(c)(d)Table 2
Precast industrial buildings typologies identified.
TypeStructural typologyColumnsBeamsConnectionsT1One-storey parallel portalsFixed at the baseVariable cross-section I shaped prestressed beamsPinned/friction beam-to-column connectionT2One-storey parallel portalsFixed at the baseConstant cross-section prestressed beamsPinned/friction beam-to-column connectionT3One-storey parallel portalsFixed at the baseTruss beamsPinned beam-to-column connectionT4One-storey parallel portalsFixed at the baseBeam with Y shape at the connectionPinned beam-to-column connectionThe most traditional configuration consists of prestressed beams, with up to 45 m spans, simply supported on precast columns fixed at the base [5]. Yet, this configuration may present deviations regarding the properties of the longitudinal beams, which can have variable (T1), constant (T2), or truss (T3) configuration, or at the column properties which can feature a “Y” shape at the region of the connection with the longitudinal beams (T4).Based on the collected data, it is apparent that the majority of the buildings in Portugal correspond to the Typology 1 (86%) and Typology 3 (11%), while only 2% of the cases are associated with Typology 2 and Typology 4 (Figure9).Figure 9
Percentage of precast RC buildings with different typologies.As regards the number of storeys, it is apparent that the majority of the precast buildings are single-storey buildings (Figure10(a)) with a total height that is below 10 m for the majority of the cases (Figure 10(b)).Figure 10
(a) Number of storeys. (b) Histogram and probability distributions associated with the number of storeys and building height.
(a)(b)The values of building height are in line with the study conducted in [1] for the general industrial facilities in Portugal, whose results are illustrated in Figure 5. Regarding the number of storeys, it is important to note that, except in one case, the upper storeys are only representative of a fraction of the total area of the building (Figure 11).Figure 11
Ratio of upper storeys area with respect to the ground storey.In terms of plan geometry, the properties vary significantly depending on the building direction analysed. In the direction along the longer beams (assumed as longitudinal hereinafter), the number of spans is generally low (1 or 2), and the beams length can reach values up to 50 m (Figure12). In addition, when analysed with respect to the construction period, the spans length seems to increase with the year of construction, which is probability related with improvements on the manufacturing and construction processes (Figure 13).Figure 12
Histogram and probability distributions associated with the (a) number and (b) length of the spans (in the longitudinal direction).
(a)(b)Figure 13
Evolution of span length in the longitudinal direction with the year of construction.On the other hand, in the transverse direction, the number of spans is typically higher and features smaller lengths, up to 15 m (Figure14).Figure 14
Histogram and probability distributions associated with the (a) number and (b) length of the spans (in the transverse direction).
(a)(b)Finally, based on the data collected, three main types of cladding systems were identified: infill masonry and horizontal and vertical RC precast panels. Among these, the use of horizontal panels seems to be most common, being observed in 50% of the buildings, while infill masonry and vertical panels were identified in 33% and 17% of the cases, respectively. The increase in the use of vertical cladding panels in the last decades (Figure15) indicates that this solution appears to become more appealing, as a consequence of improved precast construction processes as well as transport and installation methods. On the other hand, it is still somehow surprising that infill masonry represents an important percentage of the buildings in the last decade and about one-third of the total number of buildings.Figure 15
Variation of type of the cladding system by decade.
(a)(b)


### 3.3. Material Properties

The material properties presented in the following plots refer to the classes indicated in the design projects and, therefore, do not necessarily correspond to the actual values found in the existing buildings.Regarding the concrete class, Figure16 shows a large dispersion of the concrete compressive strength (corresponding to the cylinder test) considered in the design process, despite the apparent larger employment of concrete strengths between 20 MPa and 30 MPa. Notwithstanding the great variability, when examined with respect to the year of construction, it seems clear that the concrete classes increase with the period of construction.Figure 16
Concrete compressive strength: (a) histogram and probability distributions associated with the concrete compressive strength and (b) evolution with period of construction.
(a)(b)Regarding the reinforcement, the number of classes is much lower than the ones found for concrete, and it is apparent that most of the RC members were built with A400 and A500 steel grade (Figure17(a)). As for the reinforcing steel, it is possible to observe an evolution of the steel grade with the year of construction (Figure 17(b)).Figure 17
(a) Percentage and (b) distribution of reinforcement grade by year of construction.
(a)(b)


### 3.4. Column Properties

In this section, the properties of the columns, namely, the section dimensions and reinforcement ratios, are described. The emphasis given to the properties of the vertical elements stems from their relative importance in the seismic behaviour of these structures, with respect to the beam members that, by virtue of their properties and structural arrangement, are expected to remain essentially undamaged. In terms of columns cross-section, Figure18 shows the frequency and associated normal and log-normal distributions of the columns width and length (defined as the dimension along the longitudinal direction).Figure 18
Histogram and probability distributions associated with the columns: (a) length and (b) width.
(a)(b)The analysis of the results revealed that in only about one-third of the cases the columns are square. At the same time, the collected data indicated that, for the majority of the rectangular columns, the length-to-width ratio remains below 2 (Figure19(a)).Figure 19
Histogram and probability distributions associated with the columns: (a) length-to-width ratio and (b) height-to-length.
(a)(b)Another relevant geometric parameter regards the height-to-length ratio, as it provided an indication on the target aspect ratios generally considered in these buildings. Figure19(b) indicates that, for the analysed cases, this ratio varies essentially between 12 and 25, corresponding to large slenderness and, is therefore indicative that these columns are more prone to develop flexural type of failures, at least in cases where the cladding system is continuous along the height of the column.In order to assess a possible reason for the variability observed in the relation between the height and length of the columns, this ratio, was plotted against the year of the project and the seismic zone associated with the building location (Figure20). Considering the above considerations, it would be expected that the ratio could decrease (indicative of less slender columns) with the increase of the level of seismic loads, being assessed in terms of seismic regulation (year of project) or seismic intensity (seismic zone). Nonetheless, the results presented in Figure 20 indicate that the ratio is essentially independent of the year of construction and, contrary to what would be expected, it appears to increase with the increase in the seismic loads. It is noted that, in the Portuguese seismic zonation, the seismic intensity decreases with the increase in the seismic zone. These conclusions seem to indicate that the seismic combination of loads was not the conditioning action or that, at the time of design, no seismic regulation was available. The latter, however, seems less plausible given that most of the collected data refers to buildings designed after 1990 (see Figure 7) and, therefore, after the introduction of the first reference seismic regulation, the Regulamento de Segurança e Ações para Estruturas de Edifícios e Pontes [6]. Furthermore, the increase in buildings height over time (for higher versatility and to satisfy different industry requirements) was certainly somehow compensated with the optimization of the structural design, construction processes, and the use of higher quality materials, allowing reduction of the elements cross-section requirements.Figure 20
Evolution of height-to-column ratio with the (a) year of construction and (b) seismic zone.
(a)(b)Finally, the properties of the columns are evaluated in terms of longitudinal and transverse reinforcement ratios (see Figure21). The results indicate that the mean value of the longitudinal reinforcement ratio is approximately 1.5%, while for the transverse case, the average value approaches 0.3%. These values are somehow higher that the ones observed in conventional RC structures without seismic design that, according to Furtado, Costa, Arêde, and Rodrigues [7] and Sousa, Costa, Costa, Romão, and Candeias [8], are about 50% of the ones measured in the precast buildings. This low level of transverse reinforcement results from the fact that, up to 2019, the concrete design codes (REBA [9] and REBAP [10]) define the spacing of the stirrups based on the diameter of the longitudinal bars and size of the elements and never related with the seismic zone.Figure 21
Histogram and probability distributions associated with the (a) columns longitudinal reinforcement ratio and (b) transverse reinforcement ratio.
(a)(b)As for the height-to-column ratio, it is also difficult to find a trend between the reinforcement ratios and the year or seismic zone where the buildings are located. Nonetheless, it is apparent there is a slight increase in both ratios with the year of the project (see Figure22). The apparent increase in both ratios with the seismic zones is somehow justified by the fact that the buildings collected in higher seismic zones (lower seismic hazard) have been built later and, therefore, reflect the tendency for an increase in reinforcement ratios with the year of construction (see Figure 7(b)).Figure 22
Evolution of (a) longitudinal reinforcement and (b) transverse reinforcement with the year of construction and evolution of (c) longitudinal reinforcement and (d) transverse reinforcement with the seismic zone.
(a)(b)(c)(d)


### 3.5. Beam-to-Column Connection

Past earthquakes showed that beam-to-column connections represent one of the main sources of damage in precast structures [11–14]. The adequate characterisation of these elements is therefore critical to study the structural behaviour of these structures.In addition to the friction force developed at the surface between the beam and the columns corbel, the lateral strength of these systems depends on the number and size of connecting dowels. Among the analysed design projects, in nearly 60% of the cases, it was possible to access the details about the dowel connection. In the remaining cases, however, no reference to these elements was found, which may indicate that, in a reasonable amount of buildings, the beam-to-column connections could be ensured simply by friction. Considering the limited information often available in older projects, it is also possible that in some cases a standard dowel connection could be assumed during the construction phase, without specifying the details in the design project.Regarding the cases in which the dowels were detailed, the variability is significant in terms of both the number and diameter of the dowels (Figure23). It is, thus, not surprising that the total dowel area found in each beam-to-column connection follows a distribution that is essentially uniform (Figure 24(a)).Figure 23
Dowels in beam-to-column connections (a) number and (b) diameter.
(a)(b)Figure 24
Dowels area: (a) histogram and probability distributions associated with the area of dowels and (b) evolution with the span length along the longitudinal direction.
(a)(b)Looking for a reliable relation between the dowel properties with structural or nonstructural parameters, it was found that the area of the dowels appears to be correlated with the beam span, notwithstanding the large dispersion observed (Figure24(b)).Regarding the evolution of the dowel properties with the year of construction, the results presented in Figure25(a)) show that, only in the recent projects (essentially after 2000), the dowel connections are described in detail. As noted before, these results regard the description found in the design projects, which does not necessarily mean that no dowels were considered in the construction phase.Figure 25
Evolution of dowels area in beam-to-column connections with the (a) year of construction and (b) seismic zone.
(a)(b)On the other hand, it is apparent that the dowels properties are not dictated by seismic provisions, since the area of dowels is not proportional to the design seismic action (Figure25(b)); it is recalled that the seismic loads decrease with the increase in the seismic zone number.Regarding the corbel properties, the results obtained from the data collected reveal values that vary between 10 and 50 cm (Figure26). This figure also shows that, contrary to the dowel area, the corbel span seems to be independent of the longitudinal beam span.Figure 26
Corbel span in the beam-to-column connections. (a) Histogram probability distributions associated. (b) Corbel span with beam span relation.
(a)(b)


### 3.6. Summary and Statistical Indicators

This section presents an overview of the data collected from 73 precast RC buildings, summarized in Table3, highlighting the main findings together with the statistics derived for some of the properties.Table 3
Summary of the distribution properties for the different parameters collected.
ParameterMeanMedianModeCOV (%)MinMaxDistributionp value (%)Number of spans in longitudinal direction2.32.01.094.11.011.0Log-normal0.0Number of spans in transverse direction8.28.08.058.31.029.0Log-normal7.6Span length in longitudinal direction (m)21.520.015.038.45.550.0Log-normal14.4Span length in transverse direction (m)7.66.55.032.94.212.5Log-normal0.0Column height (m)7.77.010.044.33.023.0Log-normal2.9Column width (cm)40.640.035.026.512.570.0Log-normal0.0Column length (cm)56.050.040.042.630.0150.0Log-normal10.3Column height-to-length ratio18.118.820.021.96.928.9Normal5.1Column length-to-width ratio1.41.31.045.31.03.7Log-normal0.3Longitudinal reinforcement ratio (%)1.71.61.141.00.33.7Log-normal50.9Transverse reinforcement ratio (%)0.30.20.261.90.11.0Log-normal45.1Corbel span (mm)29.430.030.028.415.050.0Log-normal0.1Concrete strength (MPa)30.325.025.032.01250Log-normal0.0Regarding the representativeness of the actual building stock, it was showed that the geographical location of the buildings analysed follows closely the actual distribution of industrial buildings. From a temporal point of view, most of the information collected refers to building built after 1990 and, therefore, after the introduction of the seismic regulation [6]. In theory, this could introduce a bias in the information gathered. When looking to the Italian example, around 20% of the precast buildings were constructed before 1980 and around 60% before 1996, without seismic concerns [15]. However, considering that in Portugal the prefabrication industry started to gain a relevant scale in the construction of industrial facilities especially during the 80s and 90s—the National Association of Prefabricated Concrete Industry (ANIPB) was founded in 1975—the asymmetry in the year of the project of the buildings (Figure 7) is certainly a reflection of the evolution of the prefabricated construction and, by that, the bias is not so significant. Moreover, the regressions carried out appear to indicate that the structural properties are independent of the seismic zone and, hence, the design seismic action.


## 3.1. Overview

The database presented in this chapter was built based on the information collected after analysing 73 design projects of existing RC precast buildings in the Portuguese mainland. The identification of the buildings sought to reflect an adequate geographical and temporal representation. Regarding the geographical distribution, Figure6 shows a comparison between the location of the collected projects and the actual manufacturing industry according to the data available in Pordata [4]. The figure shows that, in both images, the buildings tend to be concentrated at the centre and northern regions of the Portuguese coast side.Figure 6
Location of industrial buildings in Portugal: (a) collected projects and (b) manufacturing industries in 2017.
(a)(b)Regarding the construction period, the buildings analysed were built over the last 50 years showing a clear concentration after 1990 (Figure7(a)). A first reason for this concentration is related with the very limited, or absent, information in the design project of older buildings. Moreover, until the 60s, the precast industry in Portugal was mainly focused on the construction of elements for slabs and cladding panels. It was only during the 70s that an important growth in the precast systems could be observed [5]. Figure 7(b) shows also the correlation between the year of construction and the seismic zones, showing that, for the buildings consulted, there is a tendency for a concentration of newer structures in the higher seismic zones (lower seismic hazard).Figure 7
(a) Distribution of number of buildings analysed by the year of the project. (b) Evolution of the seismic zone with the year of the project.
(a)(b)In addition to the location and period of construction, the characterisation of the RC precast buildings involved the collection of several structural parameters regarding the global geometry, material properties, columns section details, and beam-to-column connections, as described in Table1. The data, and corresponding statistics, associated with each property are presented in the following sections, together with additional, indirect, structural parameters that could provide important indications on the design principles adopted for different periods or regions.Table 1
List of properties collected for each RC precast building.
Global geometryTypologyNumber of storeysArea upper storeysBuilding heightNumber of spans in longitudinal directionNumber of spans in transverse directionSpan length in longitudinal directionSpan length in transverse directionType of claddingsMaterial propertiesConcrete compressive strengthReinforcement yield strengthColumn section detailsWidthLengthLongitudinal reinforcementTransverse reinforcementBeam-to-column connectionNumber of dowelsDowel diameterCorbel spanIn the following sections, the evolution of the properties defined in Table1 is evaluated considering a total of 73 buildings. However, it should be mentioned that in some design projects it was not possible to identify all properties, namely, the type of claddings and the beam-to-column connections.


## 3.2. Global Geometry

The first geometric property addressed regards the identification of the main typologies of precast RC buildings. Based on the survey carried out, it was possible to identify 4 main typologies that are illustrated and described in Figure8 and Table 2, respectively.Figure 8
Description of the main RC precast typologies identified in Portugal: (a) variable cross-section I shaped prestressed beams; (b) constant cross-section prestressed beams; (c) truss beams; (d) beam with Y shape at the connection.
(a)(b)(c)(d)Table 2
Precast industrial buildings typologies identified.
TypeStructural typologyColumnsBeamsConnectionsT1One-storey parallel portalsFixed at the baseVariable cross-section I shaped prestressed beamsPinned/friction beam-to-column connectionT2One-storey parallel portalsFixed at the baseConstant cross-section prestressed beamsPinned/friction beam-to-column connectionT3One-storey parallel portalsFixed at the baseTruss beamsPinned beam-to-column connectionT4One-storey parallel portalsFixed at the baseBeam with Y shape at the connectionPinned beam-to-column connectionThe most traditional configuration consists of prestressed beams, with up to 45 m spans, simply supported on precast columns fixed at the base [5]. Yet, this configuration may present deviations regarding the properties of the longitudinal beams, which can have variable (T1), constant (T2), or truss (T3) configuration, or at the column properties which can feature a “Y” shape at the region of the connection with the longitudinal beams (T4).Based on the collected data, it is apparent that the majority of the buildings in Portugal correspond to the Typology 1 (86%) and Typology 3 (11%), while only 2% of the cases are associated with Typology 2 and Typology 4 (Figure9).Figure 9
Percentage of precast RC buildings with different typologies.As regards the number of storeys, it is apparent that the majority of the precast buildings are single-storey buildings (Figure10(a)) with a total height that is below 10 m for the majority of the cases (Figure 10(b)).Figure 10
(a) Number of storeys. (b) Histogram and probability distributions associated with the number of storeys and building height.
(a)(b)The values of building height are in line with the study conducted in [1] for the general industrial facilities in Portugal, whose results are illustrated in Figure 5. Regarding the number of storeys, it is important to note that, except in one case, the upper storeys are only representative of a fraction of the total area of the building (Figure 11).Figure 11
Ratio of upper storeys area with respect to the ground storey.In terms of plan geometry, the properties vary significantly depending on the building direction analysed. In the direction along the longer beams (assumed as longitudinal hereinafter), the number of spans is generally low (1 or 2), and the beams length can reach values up to 50 m (Figure12). In addition, when analysed with respect to the construction period, the spans length seems to increase with the year of construction, which is probability related with improvements on the manufacturing and construction processes (Figure 13).Figure 12
Histogram and probability distributions associated with the (a) number and (b) length of the spans (in the longitudinal direction).
(a)(b)Figure 13
Evolution of span length in the longitudinal direction with the year of construction.On the other hand, in the transverse direction, the number of spans is typically higher and features smaller lengths, up to 15 m (Figure14).Figure 14
Histogram and probability distributions associated with the (a) number and (b) length of the spans (in the transverse direction).
(a)(b)Finally, based on the data collected, three main types of cladding systems were identified: infill masonry and horizontal and vertical RC precast panels. Among these, the use of horizontal panels seems to be most common, being observed in 50% of the buildings, while infill masonry and vertical panels were identified in 33% and 17% of the cases, respectively. The increase in the use of vertical cladding panels in the last decades (Figure15) indicates that this solution appears to become more appealing, as a consequence of improved precast construction processes as well as transport and installation methods. On the other hand, it is still somehow surprising that infill masonry represents an important percentage of the buildings in the last decade and about one-third of the total number of buildings.Figure 15
Variation of type of the cladding system by decade.
(a)(b)


## 3.3. Material Properties

The material properties presented in the following plots refer to the classes indicated in the design projects and, therefore, do not necessarily correspond to the actual values found in the existing buildings.Regarding the concrete class, Figure16 shows a large dispersion of the concrete compressive strength (corresponding to the cylinder test) considered in the design process, despite the apparent larger employment of concrete strengths between 20 MPa and 30 MPa. Notwithstanding the great variability, when examined with respect to the year of construction, it seems clear that the concrete classes increase with the period of construction.Figure 16
Concrete compressive strength: (a) histogram and probability distributions associated with the concrete compressive strength and (b) evolution with period of construction.
(a)(b)Regarding the reinforcement, the number of classes is much lower than the ones found for concrete, and it is apparent that most of the RC members were built with A400 and A500 steel grade (Figure17(a)). As for the reinforcing steel, it is possible to observe an evolution of the steel grade with the year of construction (Figure 17(b)).Figure 17
(a) Percentage and (b) distribution of reinforcement grade by year of construction.
(a)(b)


## 3.4. Column Properties

In this section, the properties of the columns, namely, the section dimensions and reinforcement ratios, are described. The emphasis given to the properties of the vertical elements stems from their relative importance in the seismic behaviour of these structures, with respect to the beam members that, by virtue of their properties and structural arrangement, are expected to remain essentially undamaged. In terms of columns cross-section, Figure18 shows the frequency and associated normal and log-normal distributions of the columns width and length (defined as the dimension along the longitudinal direction).Figure 18
Histogram and probability distributions associated with the columns: (a) length and (b) width.
(a)(b)The analysis of the results revealed that in only about one-third of the cases the columns are square. At the same time, the collected data indicated that, for the majority of the rectangular columns, the length-to-width ratio remains below 2 (Figure19(a)).Figure 19
Histogram and probability distributions associated with the columns: (a) length-to-width ratio and (b) height-to-length.
(a)(b)Another relevant geometric parameter regards the height-to-length ratio, as it provided an indication on the target aspect ratios generally considered in these buildings. Figure19(b) indicates that, for the analysed cases, this ratio varies essentially between 12 and 25, corresponding to large slenderness and, is therefore indicative that these columns are more prone to develop flexural type of failures, at least in cases where the cladding system is continuous along the height of the column.In order to assess a possible reason for the variability observed in the relation between the height and length of the columns, this ratio, was plotted against the year of the project and the seismic zone associated with the building location (Figure20). Considering the above considerations, it would be expected that the ratio could decrease (indicative of less slender columns) with the increase of the level of seismic loads, being assessed in terms of seismic regulation (year of project) or seismic intensity (seismic zone). Nonetheless, the results presented in Figure 20 indicate that the ratio is essentially independent of the year of construction and, contrary to what would be expected, it appears to increase with the increase in the seismic loads. It is noted that, in the Portuguese seismic zonation, the seismic intensity decreases with the increase in the seismic zone. These conclusions seem to indicate that the seismic combination of loads was not the conditioning action or that, at the time of design, no seismic regulation was available. The latter, however, seems less plausible given that most of the collected data refers to buildings designed after 1990 (see Figure 7) and, therefore, after the introduction of the first reference seismic regulation, the Regulamento de Segurança e Ações para Estruturas de Edifícios e Pontes [6]. Furthermore, the increase in buildings height over time (for higher versatility and to satisfy different industry requirements) was certainly somehow compensated with the optimization of the structural design, construction processes, and the use of higher quality materials, allowing reduction of the elements cross-section requirements.Figure 20
Evolution of height-to-column ratio with the (a) year of construction and (b) seismic zone.
(a)(b)Finally, the properties of the columns are evaluated in terms of longitudinal and transverse reinforcement ratios (see Figure21). The results indicate that the mean value of the longitudinal reinforcement ratio is approximately 1.5%, while for the transverse case, the average value approaches 0.3%. These values are somehow higher that the ones observed in conventional RC structures without seismic design that, according to Furtado, Costa, Arêde, and Rodrigues [7] and Sousa, Costa, Costa, Romão, and Candeias [8], are about 50% of the ones measured in the precast buildings. This low level of transverse reinforcement results from the fact that, up to 2019, the concrete design codes (REBA [9] and REBAP [10]) define the spacing of the stirrups based on the diameter of the longitudinal bars and size of the elements and never related with the seismic zone.Figure 21
Histogram and probability distributions associated with the (a) columns longitudinal reinforcement ratio and (b) transverse reinforcement ratio.
(a)(b)As for the height-to-column ratio, it is also difficult to find a trend between the reinforcement ratios and the year or seismic zone where the buildings are located. Nonetheless, it is apparent there is a slight increase in both ratios with the year of the project (see Figure22). The apparent increase in both ratios with the seismic zones is somehow justified by the fact that the buildings collected in higher seismic zones (lower seismic hazard) have been built later and, therefore, reflect the tendency for an increase in reinforcement ratios with the year of construction (see Figure 7(b)).Figure 22
Evolution of (a) longitudinal reinforcement and (b) transverse reinforcement with the year of construction and evolution of (c) longitudinal reinforcement and (d) transverse reinforcement with the seismic zone.
(a)(b)(c)(d)


## 3.5. Beam-to-Column Connection

Past earthquakes showed that beam-to-column connections represent one of the main sources of damage in precast structures [11–14]. The adequate characterisation of these elements is therefore critical to study the structural behaviour of these structures.In addition to the friction force developed at the surface between the beam and the columns corbel, the lateral strength of these systems depends on the number and size of connecting dowels. Among the analysed design projects, in nearly 60% of the cases, it was possible to access the details about the dowel connection. In the remaining cases, however, no reference to these elements was found, which may indicate that, in a reasonable amount of buildings, the beam-to-column connections could be ensured simply by friction. Considering the limited information often available in older projects, it is also possible that in some cases a standard dowel connection could be assumed during the construction phase, without specifying the details in the design project.Regarding the cases in which the dowels were detailed, the variability is significant in terms of both the number and diameter of the dowels (Figure23). It is, thus, not surprising that the total dowel area found in each beam-to-column connection follows a distribution that is essentially uniform (Figure 24(a)).Figure 23
Dowels in beam-to-column connections (a) number and (b) diameter.
(a)(b)Figure 24
Dowels area: (a) histogram and probability distributions associated with the area of dowels and (b) evolution with the span length along the longitudinal direction.
(a)(b)Looking for a reliable relation between the dowel properties with structural or nonstructural parameters, it was found that the area of the dowels appears to be correlated with the beam span, notwithstanding the large dispersion observed (Figure24(b)).Regarding the evolution of the dowel properties with the year of construction, the results presented in Figure25(a)) show that, only in the recent projects (essentially after 2000), the dowel connections are described in detail. As noted before, these results regard the description found in the design projects, which does not necessarily mean that no dowels were considered in the construction phase.Figure 25
Evolution of dowels area in beam-to-column connections with the (a) year of construction and (b) seismic zone.
(a)(b)On the other hand, it is apparent that the dowels properties are not dictated by seismic provisions, since the area of dowels is not proportional to the design seismic action (Figure25(b)); it is recalled that the seismic loads decrease with the increase in the seismic zone number.Regarding the corbel properties, the results obtained from the data collected reveal values that vary between 10 and 50 cm (Figure26). This figure also shows that, contrary to the dowel area, the corbel span seems to be independent of the longitudinal beam span.Figure 26
Corbel span in the beam-to-column connections. (a) Histogram probability distributions associated. (b) Corbel span with beam span relation.
(a)(b)


## 3.6. Summary and Statistical Indicators

This section presents an overview of the data collected from 73 precast RC buildings, summarized in Table3, highlighting the main findings together with the statistics derived for some of the properties.Table 3
Summary of the distribution properties for the different parameters collected.
ParameterMeanMedianModeCOV (%)MinMaxDistributionp value (%)Number of spans in longitudinal direction2.32.01.094.11.011.0Log-normal0.0Number of spans in transverse direction8.28.08.058.31.029.0Log-normal7.6Span length in longitudinal direction (m)21.520.015.038.45.550.0Log-normal14.4Span length in transverse direction (m)7.66.55.032.94.212.5Log-normal0.0Column height (m)7.77.010.044.33.023.0Log-normal2.9Column width (cm)40.640.035.026.512.570.0Log-normal0.0Column length (cm)56.050.040.042.630.0150.0Log-normal10.3Column height-to-length ratio18.118.820.021.96.928.9Normal5.1Column length-to-width ratio1.41.31.045.31.03.7Log-normal0.3Longitudinal reinforcement ratio (%)1.71.61.141.00.33.7Log-normal50.9Transverse reinforcement ratio (%)0.30.20.261.90.11.0Log-normal45.1Corbel span (mm)29.430.030.028.415.050.0Log-normal0.1Concrete strength (MPa)30.325.025.032.01250Log-normal0.0Regarding the representativeness of the actual building stock, it was showed that the geographical location of the buildings analysed follows closely the actual distribution of industrial buildings. From a temporal point of view, most of the information collected refers to building built after 1990 and, therefore, after the introduction of the seismic regulation [6]. In theory, this could introduce a bias in the information gathered. When looking to the Italian example, around 20% of the precast buildings were constructed before 1980 and around 60% before 1996, without seismic concerns [15]. However, considering that in Portugal the prefabrication industry started to gain a relevant scale in the construction of industrial facilities especially during the 80s and 90s—the National Association of Prefabricated Concrete Industry (ANIPB) was founded in 1975—the asymmetry in the year of the project of the buildings (Figure 7) is certainly a reflection of the evolution of the prefabricated construction and, by that, the bias is not so significant. Moreover, the regressions carried out appear to indicate that the structural properties are independent of the seismic zone and, hence, the design seismic action.


## 4. Comparison of Portuguese Database with Other European Countries

In this section, the properties identified in the Portuguese building stock are compared with similar data collected in Italy and Turkey. Considering the damage observed in precast structures after recent earthquakes in these countries, the comparison of the properties of the collected buildings in view of the properties found in the other countries can provide indications of the expected behaviour of these structures if subjected to an earthquake in Portugal.The comparisons made are naturally conditioned by the properties analysed in different studies. Yet, it was possible to establish comparisons regarding the structural typology, main dimensions, and columns properties, including longitudinal and transverse reinforcement ratios.Regarding the data corresponding to Italy, it comprises the contribution of 3 different studies, namely, one carried out in Emilia-Romagna and Toscana regions and one comprising information collected from different regions promoted by the consortium ReLUIS and the Department of Civil Protection in Italy, hereinafter referred to as DPC/ReLUIS. Additional information regarding the studies consulted can be found in the work carried out in [2] for Italy and by Senel and Kayhan (2010), for Turkey.The first parameter addresses the date of construction of the buildings. This information may be relevant in the sense that the properties of the buildings can change as a function of code requirements, material properties, construction process, etc. The results presented in Figure27 show that the buildings analysed in Portugal are more recent that the ones in Italy and Turkey. The organization of the data around the year 1998 is related with the information available in the Turkish database, which adopted this threshold associated with the implementation of a new code that establishes higher seismic loads [3].Figure 27
Comparison of date of construction (DOC) of precast RC buildings in Portugal and Turkey.Regarding the main building typology, according to Casotto, Silva, Crowley, Nascimbene, and Pinho [16] and [3], the most common typology found in Italy and Turkey is consistent with the one found in Portugal that essentially consists of 1-storey portal frames with beams simply supported on cantilever column fixed at the base. Regarding the beams cross-section, the results shown in Figure 28 indicate that those are also consistent, at least in regard to the Italian ones (data relative to this property was available only in the study carried out in Emilia-Romagna).Figure 28
Comparison of beams cross-section of precast RC buildings in Portugal and Italy (Emilia-Romagna).Regarding the beam span in the main direction, Figure29 shows that the difference between the countries is not significant. In fact, the apparent larger values measured in the Portuguese buildings can be, at least, partially related to younger age of these buildings with respect to the other databases. As noted in Figure 13 and in [2], the beam spans in the main direction tend to increase with the year of construction.Figure 29
Comparison of longitudinal span (Ls) of precast RC buildings in Portugal, Italy, and Turkey.As regards the columns properties, Figure30 indicates that the columns height in Portugal appears to be higher than the ones measured in Turkey. On the other hand, the ratio between the height and the length of the columns, which is a measure of their slenderness, is in line with the data collected in Italy (Figure 31).Figure 30
Comparison of column height of construction of precast RC buildings in Portugal and Turkey.Figure 31
Comparison of height-to-width ratio of precast RC buildings in Portugal and Italy.Finally, regarding the reinforcement ratios, different trends were observed whether related with the longitudinal or transverse reinforcement ratios. In regard to the longitudinal ratio, Figure32 shows small differences between the Portuguese and Turkish buildings. In one side, values lower than 1% were observed only in Portugal; it is also apparent that a larger percentage of buildings feature large reinforcement ratios (e.g., higher than 2%). On the other hand, based on the results present in Figure 33, it seems clear that the Portuguese buildings feature lower levels of transverse reinforcement, notwithstanding the significantly younger age of the buildings included in the Portuguese database with respect to the Turkish ones (see Figure 27). This lower ratio may anticipate lower ductility capacity (lower confinement level) and higher shear vulnerability of Portuguese buildings when subjected to seismic loads.Figure 32
Comparison of longitudinal reinforcement ratio of precast RC buildings in Portugal and Turkey.Figure 33
Comparison of transverse reinforcement ratio of precast RC buildings in Portugal and Turkey.


## 5. Final Comments

The determination of the seismic vulnerability of buildings requires the detailed knowledge of their structural properties. For this purpose, a survey was carried out considering a total of 73 design projects of existing buildings. Based on the information collected, it was possible to characterise, from a statistical point of view, the most relevant structural properties of the buildings in Portugal.Regarding the representativeness of the collected information, the localization of the buildings consulted follows, in a reasonable manner, the actual distribution of the industrial buildings stock. In terms of period of construction, to the authors’ knowledge, there is no information available in the literature to assess if the observed concentration in the period after 1990 is consistent with the age of the existing building stock.Based on the analysis of the information gathered, the most common typology consists of 1-storey framed buildings with beams simply supported on cantilever columns fixed at the base. Generally, in one of the directions, the number of spans is lower and features longer lengths, achieved through beams with variable cross-section. In the other direction, the number of spans is typically higher but features lower lengths; in this case, the beams present constant cross-section, often used to collect the water from the roof. In a small number of cases (approximately 25%), the buildings feature an intermediate storey that occupies up to 40% of the total area.In terms of material properties, an increase in both concrete and steel strength was observed with the year of construction. Overall, the steel grades A400 and A500 appear as the most used reinforcement, whilst for the concrete a concentration of buildings employing concrete with compressive strength (associated with cylinder tests) was observed between 20 and 30 MPa.Regarding the properties of the columns, in addition to the height, cross-section dimensions, and reinforcement ratios (longitudinal and transverse), parameters indicative of the structural robustness such as the height-to-length and length-to-width ratios are also analysed. Additional characteristics relevant from a seismic point of view are also discussed in this document, namely, the type of cladding systems and beam-to-column connection details, including corbel spans and dowel properties.In summary, the outcome of this study identifies the most conventional typologies of precast RC buildings in Portugal as well as the statistics associated with the most relevant structural parameters. The information provided is essential to estimate the seismic vulnerability of precast RC buildings and consequently estimate the seismic risk associated with a relevant portion of the industrial building park. Finally, the properties of the Portuguese buildings were compared with other studies carried out in other Mediterranean countries, namely, in Italy and Turkey. This comparison showed some consistency regarding the most conventional typologies. However, it was observed that the Portuguese buildings appear to be relatively taller with longer beam spans and, perhaps more importantly, present a relatively lower transverse reinforcement ratio in the columns.Despite being merely indicative and considering the poor behaviour of precast buildings in recent earthquakes in Italy and Turkey, this comparison raises some questions regarding the seismic safety of the RC precast building stock in Portugal. Additional studies are thus required to assess in more detail the seismic vulnerability of these structures. The statistical data made available in the present work is of paramount importance to realistically characterise the Portuguese building stock and conduct more detailed seismic risk studies.



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*Source: 7517205-2020-08-08.xml*