Evaluation of Yield Improvements in Machine vs. Visual Strength Grading for Softwood Species
Abstract
:1. Introduction
2. Methodology
2.1. Sampling
2.2. Visual and Mechanical Grading
2.3. Mechanical and Physical Properties
2.4. Indicating Property (IP)
2.5. Derivation of Settings
- (1)
- Assigned grades for the sample. The sample is graded from preliminary IP limit values, and the characteristic values are calculated for each assigned strength class and compared with required values, with the condition that a minimum of 20 specimens are allocated in each grade and the number of the rejected specimens is greater than the maximum value between 5 or 0.5% of the total number of specimens.
- (2)
- Assigned grades for the subsample. The sample is divided into the subsamples defined in Table 1 (A, B, C and D) and graded according to the preliminary IP values defined in (1). The characteristic values per subsample are calculated as described in (1) and compared with the required values, which for the case of subsample are calculated as 90%, 95%, and 90% of the required values of the sample for strength, modulus of elasticity and density, respectively.
- (3)
- Optimum grading. In parallel to points (1) and (2), the optimum grading is defined. It consists in assigning the best possible strength class to each specimen while optimizing the yield for the highest strength class. For that, the specimens are sorted from lower to higher values of GDPs. The specimens with the lower values are removed until the characteristic values of the remaining subgroup comply with the required values, which, in this case, are defined directly by the characteristic values of the strength classes (EN 338:2016 [4]).
- (4)
- Size matrix. The size matrix provides the number of specimens in the optimum and assigned grades for the total sample.
- (5)
- Elementary cost matrix. The elementary cost matrix provides a cost of efficiency and safety for each preliminary IP limit values, i.e., wrongly downgrading a specimen leads to an efficiency cost, and wrongly upgrading a specimen leads to a safety cost.
- (6)
- Global cost matrix. The global cost matrix is defined to assess the performance of the grading machine, calculated as the multiplication between the values of the size matrix and elementary cost matrices, and divided by the number of specimens in the assigned grade. The values below the diagonal of the matrix must not exceed 0.4 and trying to minimize the values above the diagonal.
3. Results and Discussion
3.1. Physical and Mechanical Properties of the Whole Sample
3.2. Visual Grading
3.3. Machine Grading
3.4. Machine Grading vs. Visual Grading
4. Conclusions
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
Abbreviations
Symbol | Description |
N | Number of specimens |
Modulus of elasticity parallel to grain | |
Bending strength | |
ρ | Density |
IP | Indicative property |
L | Specimen length |
Frequency of first longitudinal vibration mode | |
CF | Correction factor of wave speed based on moisture content |
Density corrected to a moisture content of 12% | |
u | Moisture content |
Modulus of elasticity given by EN338 for a specific strength class | |
Characteristic strength of a sample | |
Factor considering the variability between subsamples, given by EN384 | |
5th percentile of the strength | |
Characteristic bending strength of a sample | |
Average modulus of elasticity of a sample | |
Average density of a sample | |
Characteristic density of a sample |
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Species | Subsample A | Subsample B | Subsample C | Subsample D | Total | ||||
---|---|---|---|---|---|---|---|---|---|
Origin | N | Origin | N | Origin | N | Origin | N | N | |
Maritime pine (ssp. atlantica) | Galicia North and Asturias | 122 | Galicia West | 121 | Galicia Interior | 129 | Basque Country | 111 | 483 |
Radiata pine | Asturias | 109 | Galicia | 116 | Gipuzkoa-Basque Country | 145 | Biscay-Basque Country | 125 | 495 |
Scots pine | Segovia- Castile and Leon | 147 | Soria- Castile and Leon | 165 | Cuenca- Castile La Mancha | 119 | Navarre | 128 | 559 |
Property | Subsample | Total | |||||
---|---|---|---|---|---|---|---|
A | B | C | D | ||||
Galicia North & Asturias | Galicia West | Galicia Interior | Basque Country (BC) | ||||
Specimens | 122 | 121 | 129 | 111 | 483 | ||
Moisture content | % | 11.9 | 12.2 | 12.4 | 12.0 | 12.1 | |
CoV | % | 6 | 17 | 16 | 26 | 17 | |
Strength | 48.7 | 42.0 | 38.3 | 47.0 | 43.9 | ||
19.0 | 16.1 | 16.2 | 17.7 | 16.9 | |||
CoV | % | 37 | 46 | 45 | 40 | 17 | |
Modulus of elasticity | 12.1 | 10.8 | 11.7 | 13.3 | 12.0 | ||
CoV | % | 30 | 38 | 32 | 29 | 33 | |
Density | 575 | 540 | 540 | 569 | 556 | ||
489 | 447 | 446 | 482 | 457 | |||
CoV | % | 9 | 13 | 13 | 11 | 12 |
Property | Subsample | Total | |||||
---|---|---|---|---|---|---|---|
A | B | C | D | ||||
Asturias | Galicia | Gipuzkoa-BC | Biscay-BC | ||||
Specimens | 109 | 116 | 145 | 125 | 495 | ||
Moisture content | % | 14.9 | 13.6 | 10.6 | 12.2 | 12.7 | |
CoV | % | 8 | 10 | 16 | 23 | 20 | |
Strength | 28.7 | 47.6 | 36.3 | 38.4 | 37.8 | ||
12.1 | 22.1 | 16.7 | 18.5 | 15.2 | |||
CoV | % | 44 | 25 | 36 | 35 | 38 | |
Modulus of elasticity | 7.65 | 10.2 | 12.1 | 12.4 | 10.8 | ||
CoV | % | 38 | 23 | 22 | 21 | 30 | |
Density | 479 | 545 | 488 | 501 | 503 | ||
417 | 459 | 401 | 409 | 413 | |||
CoV | % | 9 | 11 | 11 | 12 | 12 |
Property | Subsample | Total | |||||
---|---|---|---|---|---|---|---|
A | B | C | D | ||||
Segovia– Castile Leon | Soria– Castile Leon | Cuenca–Castile La Mancha | Navarra | ||||
Specimens | 147 | 165 | 119 | 128 | 559 | ||
Moisture content | % | 14.3 | 13.6 | 13.6 | 9.1 | 12.8 | |
CoV | % | 10 | 15 | 15 | 8 | 20 | |
Strength | 35.1 | 37.1 | 39.8 | 45.4 | 39.1 | ||
17.6 | 19.4 | 17.7 | 19.2 | 18.4 | |||
CoV | % | 32 | 28 | 37 | 41 | 20 | |
Modulus of elasticity | 10.8 | 11.5 | 10.7 | 12.2 | 11.3 | ||
CoV | % | 19 | 20 | 22 | 23 | 22 | |
Density | 526 | 531 | 482 | 595 | 534 | ||
450 | 464 | 397 | 517 | 441 | |||
CoV | % | 10 | 8 | 11 | 9 | 12 |
Species | GDPs | Visual Grades | |||
---|---|---|---|---|---|
ME-1 | ME-2 | R | |||
Maritime pine | n | 72 | 270 | 141 | |
25.3 | 16.7 | 14.8 | |||
CoV | % | 32 | 41 | 51 | |
14.4 | 11.7 | 10.9 | |||
CoV | % | 30 | 34 | 33 | |
517 | 448 | 446 | |||
CoV | % | 9 | 12 | 11 | |
Strength class (SC) | C24 | C16 | C14 | ||
SC EN1912 | C24 | C18 | R | ||
Radiata pine | n | 68 | 106 | 51 | |
23.1 | 12.3 | 9.2 | |||
CoV | % | 23 | 40 | 61 | |
11.6 | 9.74 | 7.68 | |||
CoV | % | 24 | 35 | 44 | |
449 | 414 | 404 | |||
CoV | % | 11 | 12 | 13 | |
Strength class (SC) | C22 | - | - | ||
SC EN1912 | C24 | C18 | R | ||
Scots pine | n | 134 | 307 | 118 | |
24.5 | 19.5 | 14.4 | |||
CoV | % | 33 | 32 | 43 | |
12.7 | 11.0 | 10.4 | |||
CoV | % | 22 | 20 | 30 | |
422 | 406 | 387 | |||
CoV | % | 13 | 14 | 14 | |
Strength class (SC) | C24 | C18 | C14 | ||
SC EN1912 | C27 | C18 | R |
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Moltini, G.; Íñiguez-González, G.; Cabrera, G.; Baño, V. Evaluation of Yield Improvements in Machine vs. Visual Strength Grading for Softwood Species. Forests 2022, 13, 2021. https://doi.org/10.3390/f13122021
Moltini G, Íñiguez-González G, Cabrera G, Baño V. Evaluation of Yield Improvements in Machine vs. Visual Strength Grading for Softwood Species. Forests. 2022; 13(12):2021. https://doi.org/10.3390/f13122021
Chicago/Turabian StyleMoltini, Gonzalo, Guillermo Íñiguez-González, Gonzalo Cabrera, and Vanesa Baño. 2022. "Evaluation of Yield Improvements in Machine vs. Visual Strength Grading for Softwood Species" Forests 13, no. 12: 2021. https://doi.org/10.3390/f13122021
APA StyleMoltini, G., Íñiguez-González, G., Cabrera, G., & Baño, V. (2022). Evaluation of Yield Improvements in Machine vs. Visual Strength Grading for Softwood Species. Forests, 13(12), 2021. https://doi.org/10.3390/f13122021