1. Introduction
Oak woods (Quercus) are considered to be valuable timber, generally appreciated as wooden species since they are associated with an image of beauty and mechanical resistance, and their properties determined for structural and non-structural end uses; they are one of the most important and widely used sources of structural timber in Europe [1,2,3].
Studies focused on the relationships between the mechanical properties of English oak (Q. robur) and the effects of different features for predicting the strength and elasticity in beams for construction concluded that the presence of sapwood did not exhibit significant influence on strength performance [4,5]. Merela et al., 2013 rejected the hypothesis that the properties of red oak (Q. cerris) are inferior to those of white oaks [6]. Properties like density, bending strength, compressive strength and Brinell hardness were assessed for white (Q. petraea and Q. robur) and red oaks (Q. cerris). In all cases, the properties of Q. cerris had higher values than those of white oaks, and red oak sapwood had the highest values. Green et al. demonstrated that relationships between mechanical property values for structural lumber produced from northern oak are similar to those found for softwood species [7]. Babiak et al. studied the differences in modulus of elasticity (MOE) of the three-and four-point bending of oak wood and obtained an average MOE = 10,431 Nmm−2 for samples with different moisture contents [8].
Knapic et al. studied the qualities of cork oak (Q. suber L.) wood for flooring, namely its dimensional stability, swelling, hardness, and wear resistance, and concluded that cork oak properties present a similar performance to other oak woods currently used for floor coverings [9]. Knapic et al. indicated that Q. suber presents a very dense and homogeneous wood, alongside with a reduced variability in the density components within the tree along the stem and a small intra-ring variability regarding differences between earlywood and latewood, as well as between minimum and maximum density values [10,11]. Although density could be used as an indirect reference for defining wood quality, the prediction of possible end uses is always dependent upon the determination of the strength and stiffness as well as its durability. Xu showed that oak wood (Q. rubra) MOE increases linearly with density [12]. An increase in density increases values for modulus of elasticity (MOE) and bending strength.
Kránitz et al. studied MOE values of recent and old European oak; however, due to different densities, the results cannot be directly related to aging. A study focusing on aged wood concluded that an aging effect on the mechanical properties could not be ascertained due to a potential influence of the annual ring structure on the elastic behaviour [13]. Analysing the mechanical and physical properties of common oak wood (Q. robur) under the influence of heat pressure steaming (HPS) showed that the analysed modification process does not affect the elastic properties, although a decrease in bending and tensile strength was observed [14].
Jiang et al. determined the effects of temperature on the compressive strength of Mongolian oak (Q. mongolica) and concluded that the relationship between compression strength (fc0) and temperature could be described by a polynomial model [15].
Bi et al. showed that the transverse vibration method, a non-destructive test (NDT), presents higher correlation between the dynamic elastic modulus (MOEDynamic) and static elastic modulus (MOEstatic) when compared with other methods [16]. Hu et al. studied the influence of the height in elastic moduli (EL, ER, and ET) and shear moduli (GL, GR, and GT) and concluded that these parameters increased with height for the same cross-sectional area but decreased with increasing cross-sectional area with the same height [17]. Hu et al. concluded, through transverse vibration method, that the effect of the wood species on MOE was significant [18].
There is at present a renewed interest in valuing autochthonous species for reasons of sustainability, biodiversity and conservation as well as the reduction of the risk of forest fires. Moreover, the urgent reshape of the rural landscape has led to a more urgent need to value all our autochthonous trees, rethinking silvicultural plans and planning added valued products, with the underlying thought of adding value to the forest owner and the value chain while addressing the challenges of maritime pine issues with diseases. Among the autochthonous species, the Portuguese oak (Q. faginea Lam.) is considered a potential source of high-quality wood products [19]. The last Portuguese National Forest Inventory (IFN) tallied deciduous oak tree forest land of around 81.7 mil ha (IFN, 2015), around 2.5% of the total forest land area. The extended use of oak timber mainly during the maritime expansion policy (XIV and XVI century), along with other reasons, explains this actual scenario [20].
Different studies addressed the variations in density of different oak species. Knapic et al. indicated that Portuguese oak wood compares favourably with other oak species regarding wood density characteristics [21]. The values and uniformity in wood density are an advantage when considering using this wood for solid wood products.
Although some studies of Portuguese oak (Q. faginea) found that this wood showed appealing aesthetics, high density and considerable mechanical strength [1,3,11,21], there is still a lack of information regarding its compressive and bending strength. This is the underlined objective of this paper, to contribute to the body of knowledge on Portuguese oak (Q. faginea Lam.) focusing on the technological quality and processing options for this species.
2. Material and Methods
Regarding the distribution of the Q. faginea population in Portuguese territory, it is possible to verify the existence of two areas, a larger one which corresponds to the natural occurrence area of this oak because it has favourable ecological conditions and a smaller area that corresponds to mixed or pure populations that were mapped in the 1990s [22].
The trees were harvested at three different locations in the centre and north of Portugal, Alcobaça (site 1—S1), Cortiços (site 2—S2) and Gralhós (site 3—S3), in natural regeneration stands with ages ranging from 34 to 60 years.
From S1 were sampled ten trees, three from S2 and seven from S3. According to [23], S1 is characterized by fine soil texture; pH between 5.5–6.5; soil thickness between 25 and 30; presence of physical barriers (narrow terraces), characterized as a soil with high ecological value, low to moderate potential permeability and low to moderate current permeability. S2 is characterized by coarse and medium soil texture; pH between 4.5 and 6.5; soil thickness between 10 and 30; presence of some physical barriers (R2 rocky outcrops > 25%–40% area), characterized as soil with very low ecological value, low to moderate potential permeability, low to moderate current permeability and some maximum infiltration area (type I and type II). S3 is characterized by coarse soil texture; pH between 5 and 5.5; soil thickness between 50 and 100, characterized as soil with reduced ecological value, high potential permeability and high current permeability and considered a maximum infiltration area (type II). The maximum infiltration areas are the current permeability class with higher permeability. They are classified into two classes (type I and type II) that indicate different degrees of sensitivity and the need to consider different planning and management measures [23].
Variability occurs due to several factors, and for most species, a horizontal or vertical pattern of variation can be detected [24]. For this reason, in each tree, two logs were cut, one approximately at diameter at breast height (DBH) and one above 3.4 m, except for S1, where only a log at DBH was obtained for reasons of harvest logistics.
The samples were prepared according to the standard used for the mechanical tests IPQ standard (1973) NP 618 and 619. The mechanical testing was carried out using a Shimadzu AG-I universal machine capable of measuring the load applied with an accuracy of 1% in the range 1 kN to 250 kN.
Samples were cut with the dimensions indicated by the standards used at different distances from the pith (10% and 90% of the radius, P1 and P2, respectively) and later conditioned at 20 °C ± 2 °C temperature and 65% ± 5% relative humidity until a constant mass state was reached.
After conditioning, the test pieces were tested in three-point bending with a distance between supports of 280 mm, following the recommendations of ISO 13061-3 [25]. Figure 1 shows a detail of the test setup.
The modulus of elasticity (MOE) and modulus of rupture (σm) were determined according to Equations (1) and (2). The tests were carried out under the same deformation-controlled rate (4 mm/min).
(1)
(2)
where Fmax represents the maximum load; l represents the distance between supports; b represents the width and h the height of the test piece; ΔF represents the variation of load between 10% and 40% of the maximum load; and Δw represents the variation of deflection between 10% and 40% for the maximum load.After bending from each end of each test piece, a specimen for compressive parallel to the grain was obtained with the dimensions according to the standard used. The tests were carried out under the same deformation-controlled rate (1 mm/min) (Figure 2).
The compressive strength parallel to the grain was determined (σc,0) as follows:
(3)
All values were adjusted to 12% moisture content according to the recommendations provided in each corresponding standard.
Density was determined by the determination of the ratio mass/volume adjusted to a moisture content of 12%. For this purpose, compressive test pieces were measured and weighed following the procedure for density determination described in ISO 13061-2. Moisture content was determined following the procedure described in ISO 13061-1. [26,27]
Statistical analysis was performed using SPSS® statistical software (version 19.0; SPSS Inc., Chicago, IL, USA). A statistical ANOVA was performed regarding the site (S1 = Alcobaça; S2 = Cortiços; S3 = Gralhós), position (P1 = 10% of the radius; P2 = 90% of the radius), bending strength, modulus of elasticity and compressive strength. In the regression analyses, the significance level was set at 5%. In the tests for normality, the Kolmogorov–Smirnov test was used.
3. Results and Discussion
Influence of Site and Position in the Tree
Table 1 displays the average and standard deviation of density, compressive strength and bending strength for the three different locations and two positions (distance to the pith) in the tree.
Büyüksari et al. studied the micro-mechanical properties of oak wood Q. petraea to compare with standard-size test specimens’ values [28]. Six trees with straight stems were selected as sample trees. The MOEs of the standard-size samples ranged from 9994.4 MPa to 12,532.1 MPa. The compressive strength ranged from 42 MPa to 52.1 MPa and the bending strength ranged from 87.4 MPa to 113.6 MPa. Similar results were observed in the present study.
The dispersion values for the three different locations and two positions in the tree are presented in Figure 3, Figure 4 and Figure 5. These figures represent the variability between sites for compressive strength (Figure 3), bending strength (Figure 4) and modulus of elasticity and MOE (Figure 5) for S1, S2 and S3 considering different locations in the cross-section (position 1%–10% of the radius and position 2%–90% of the radius).
The results indicate that the location in the cross-section (P1 versus P2) showed only significant differences for S1,for modulus of elasticity (MOE), compressive strength and bending strength. These results are in line with the mean density values obtained for the same provenance and location in the stem (Table 1). In the regression analyses, the significance level was set at 5%. In the tests for normality, the Kolmogorov–Smirnov test was used. Site S1 showed a fine soil texture, whereas site 2 and site 3 showed coarse and medium soil textures. The effects of soil on other oak species was already stated as regards their growth [29] and wood density [30]. In this case, a finer soil texture led to more hydric stress, which is reflected in the first layers of wood produced, which showed higher density (high proportion of latewood in the growth ring).
Q. faginea wood has a global average MOE of 8815 Nmm−2 (static bending). It is well below the values reported in the literature for other oak species, such as [25], which identified Q. Petrae MOEs between 9994.4 Nmm−2 and 11,553.7 Nmm−2. Carvalho presented values from 10,500 Nmm−2 (Q. robur) to 13,000 Nmm−2 (Q. rubra) [2]. As regards bending strength, the mean result found (101.2 Nmm−2) agrees with the values found in the literature for other oaks [1].
It was verified that the density determined for the test pieces used in the mechanical tests has a normal distribution (normality test). According to the classification table for the characteristic values of the woods presented by [1], Q. faginea wood falls within the heavy wood class according to the density range for other oak species [31]. When considering the densities presented for Q. rubra, Q. alba and Q. robur, the results are higher but with no significative differences [2].
Figure 6, Figure 7, Figure 8 and Figure 9 present correlations between MOE and density, bending strength and density, compressive strength and density and bending strength and MOE, respectively.
Sonderegger et al. investigated various aspects of natural aging on European oak and presented a correlation of MOE and bending strength depending on density for recent and aged oak [32]. The mechanical properties of oak wood Q. petraea were studied, namely bent at different radii for locations of the tension and compressive sides of wood using micro-mechanical test specimens [33]. This study obtained MOE values between approximately 9000 and 11,000 Nmm−2, which indicates that the order of magnitude is close to the values obtained in the bending tests of this study.
It was possible to observe that strength of wood increases as its density increases. The density is important in determining the strength properties and according to [34] correlates more with bending strength than with MOE. The values obtained are consistent with the correlation based on the literature and were verified in Figure 6 for MOE, Figure 7 for bending strength and Figure 8 for compression parallel to the grain.
4. Conclusions
The results for site 1 showed a significant effect of the distance to pith, which could be related to its different soil composition as compared with site 2 and site 3. This higher density led to higher compression and bending strength as well as modulus of elasticity near the pith, with the results obtained closer to the bark similar to the ones observed for the other provenances. A noticeable correlation between the mechanical properties and density was observed (r2 = 0.47 for modulus of elasticity; r2 = 0.57 for bending strength and r2 = 0.65 for compression parallel to the grain).
Conceptualization, J.S.M. and S.K.; investigation, S.K. and C.S.F.L.; writing—original draft preparation, S.K. and C.S.F.L.; writing—review and editing, J.S.M. and S.K.; visualization, J.S.M. and S.K.; supervision, J.S.M. All authors have read and agreed to the published version of the manuscript.
Not applicable.
Not applicable.
Data are contained within the article.
The authors declare no conflict of interest.
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Figure 3. Compressive strength at sites 1, 2, 3 and both distances to the pith (P1—10%; P2—90%).
Figure 4. Bending strength at sites 1, 2, 3 and both distances to the pith (P1—10%; P2—90%).
Density, MOE bending and compressive and bending strength for the tree sites and two distances to the pith considered.
| Site/Position | Density (kg/m3) | Bending (Nmm−2) | Compressive Strength (Nmm−2) | ||
|---|---|---|---|---|---|
| MOE | Strength | ||||
| S1/P1 | N | 10 | 10 | 10 | 20 |
| Average | 1007.7 | 11,700.6 | 119.7 | 54.5 | |
| St. dev. | 80.20 | 1360.73 | 18.19 | 6.07 | |
| S1/P2 | N | 10 | 10 | 10 | 20 |
| Average | 795.5 | 8868.1 | 89.7 | 42.5 | |
| St. dev. | 117.44 | 1882.80 | 20.92 | 6.10 | |
| S2/P1 | N | 7 | 7 | 7 | 14 |
| Average | 887.6 | 8221.4 | 97 | 49 | |
| St. dev. | 114.61 | 1306.26 | 24.59 | 15.92 | |
| S2/P2 | N | 7 | 7 | 7 | 14 |
| Average | 875.2 | 8714 | 98.2 | 46.8 | |
| St. dev. | 108.04 | 1369.14 | 19.85 | 15.67 | |
| S3/P1 | N | 7 | 7 | 7 | 14 |
| Average | 884.9 | 7323.8 | 104.2 | 47.7 | |
| St. dev. | 96.83 | 1723.41 | 25.95 | 7.65 | |
| S3/P2 | N | 7 | 7 | 7 | 14 |
| Average | 809 | 8067.7 | 98.4 | 46.1 | |
| St. dev. | 51.43 | 981.71 | 13.02 | 5.62 | |
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Abstract
Within-stem variation in the mechanical properties of Portuguese oak wood was analysed, considering different locations (three sites in the centre and north of Portugal—Site 1, Site 2, Site 3) and positions within the tree (two distances to pith—P1, P2). The study comprised compression parallel to the grain, bending strength and modulus of elasticity. Ultimately, this study aims at assuring the building of a body of knowledge on the technological quality and processing options for this species. The results showed for one provenance, Site 1, a significant effect of the distance to pith in the mechanical properties, which can be related to a different soil composition. For this provenance, a decrease in the compression and bending strength was verified from pith to bark. For the other provenances (Site 2 and Site 3), no effect was noticed. The overall behaviour showed noticeable correlations between the mechanical properties and density.
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Details
; Linhares, Camila S F 1
; Machado, José S 2
1 SERQ—Innovation and Competence Forest Centre, 6100-711 Sertã, Portugal;
2 Laboratório Nacional de Engenharia Civil, Departamento de Materiais, 1700-066 Lisboa, Portugal;




