A Methodology to Manage and Correlate Results of Non-Destructive and Destructive Tests on Ancient Timber Beams: The Case of Montorio Tower
Abstract
:1. Introduction
2. Methodological Approach
2.1. Visual Grading
- Size of the beam (longitudinal length (L), base (b), and height (h) at the left, the middle, and the right sections, respectively).
- Wood species.
- Size of the smoothed edges.
- Minimum diameter (dmin) of the knots (S indicates single knot, and G indicates group of knots) and the corresponding dimension of the effective section (Hf).
- Grain slope refers to the longitudinal axis of the element.
- Cracks due to shrinkage in terms of the sizes of the openings (O) and depth (D). N.D. stands for not detected, which means that crack thickness was not significant.
- Ring shake (R) and cracks due to lightning/freezing/damage (L/F/D).
- Deformations due to arching (A), sickle (S), twist (T), and warping (W).
- Degradation due to fungi (blue stain (BS), white caries (WC), and brown caries (BC)).
- Insect attacks.
2.2. Non-Destructive Tests
2.3. Destructive Tests
- Beam 1 was the most rigid element of the sample, even if its bending strength was lower than expected. This may be due to the poor adherence among longitudinal wood fibers, which resulted in a diagonal breaking that started from pre-existing damage.
- Beam 2 exhibited a low bending modulus, likely due to significant pre-existing damage, which caused a relative motion among fibers. The bending strength also seemed to be compromised by damage, and indeed, the breaking started from it.
- The bending modulus and the bending strength of beams 3, 4, and 6 were below the expected values, even though they showed a linear trend close to the theoretical behavior. Beam 3 was the only one that exhibited an almost vertical breaking, even if the resistant cross-section was not fully involved.
- Beam 5 had a bending modulus like beam 6, whereas its bending strength was only 69% of beam 6. In this regard, it is worth noting that beam 5 had a section reduction near the breaking point.
3. Comparison and Correlation between Destructive and Non-Destructive Tests
3.1. Comparison between Bending and Sclerometric Tests
- The more regular each pentagon is, the more homogeneous the corresponding beam is expected to be. (In case the pentagon is equilateral, the element would be isotropic).
- The more similar the pentagons are to each other, the more homogeneous the mechanical behavior within the sample is expected to be.
- The smaller each pentagon is, the more rigid the corresponding beam is expected to be.
- Values of the bending modulus and the bending strength experimentally computed were significantly lower than the MCC values. This circumstance pointed out the fact that the results of sclerometric tests alone would lead to an overestimation of the mechanical parameters of the elements. On the other hand, as a result of visual grading, all the beams were classified as elements of class III (which is the worst class established by UNI 11119:2004 [14]).
- A certain correlation within the set of values of the bending modulus and the bending strength experimentally computed was evident, with particular reference to the middle transversal sections. Bending modulus values of beams 1, 5, and 6 appeared to be distributed close to a correlation curve, which was the Young’s modulus MCC reduced by 3 GPa. Bending modulus values of beams 2, 3, and 4 appeared to be distributed close to a correlation curve, which was the Young’s modulus MCC reduced by 6 GPa. Bending strength values (except for beams n.2 and n.6, which had the lowest and the highest values, respectively) appeared to be distributed close to a correlation curve, which was the bending strength MCC reduced by 55 MPa. As further confirmation of this point, measured values of the Young’s modulus and bending strength at the middle transversal sections were compared with values computed through the regression equations given in Table 8. Results are summarized in Table 9.
Beam | Young’s Modulus [GPa] | Bending Strength [MPa] | |||
---|---|---|---|---|---|
MV | MCC—3 GPa | MCC—6 GPa | MV | MCC—55 MPa | |
1 | 9.81 | 9.70 | 6.70 | 22 | 26 |
2 | 5.74 | 8.76 | 5.76 | 12 | 21 |
3 | 7.37 | 10.21 | 7.21 | 28 | 29 |
4 | 4.65 | 8.55 | 5.55 | 15 | 19 |
5 | 8.50 | 8.86 | 5.86 | 24 | 21 |
6 | 8.50 | 8.19 | 5.19 | 35 | 17 |
- Results of sclerometric tests in the longitudinal direction at the two ends of the beams (SL,L and SL,R) showed the worst correlation in terms of bending parameters. In particular, within the sample, the penetration lengths of the specimens were very close to each other, whereas both the bending modulus and the bending strength were very different between one beam and the next. On the other hand, the two ends of the beams were far from the section where the bending modulus was computed (at the middle of the beam). Moreover, beam n.4 recorded a penetration length that was significantly different from the MCC.
3.2. Comparison between Bending and Ultrasonic Tests
3.3. Comparison between Bending and Resistographic Tests
4. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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Smoothed Edges | Knots | Grain Slope | |
---|---|---|---|
Beam 1 | |||
Beam 2 | |||
Beam 3 | |||
Beam 4 | |||
Beam 5 | |||
Beam 6 |
Cracks | Deformations | Biological Attack | |
---|---|---|---|
Beam 1 | |||
Beam 2 | |||
Beam 3 | |||
Beam 4 | |||
Beam 5 | |||
Beam 6 |
Smoothed Edges | Cracks Ring Shake | Single Knots | Group Knots | Grain Slope (Gradient %) | Shrinkage Cracks | Element Class | |
---|---|---|---|---|---|---|---|
Beam 1 | III | III | I | I | II | II | III |
Beam 2 | I | III | I | I | II | III | III |
Beam 3 | III | III | I | I | I | III | III |
Beam 4 | I | III | I | I | I | III | III |
Beam 5 | I | III | I | I | I | III | III |
Beam 6 | I | III | I | I | I | III | III |
V [m/s] | |||
---|---|---|---|
ST,L | ST,M | ST,R | |
Beam 1 | 1612.7 | 947.8 | 951.8 |
Beam 2 | 1115.4 | 684.5 | missing |
Beam 3 | 1043.9 | 1330.5 | 1118.8 |
Beam 4 | 773.9 | 758.6 | 785.3 |
Beam 5 | 734.3 | 943.5 | 754.0 |
Beam 6 | 897.8 | 1106.5 | 906.1 |
P [mm] | |||||
---|---|---|---|---|---|
ST,L | ST,M | ST,R | SL,L | SL,R | |
Beam 1 | 12.29 | 8.89 | 9.94 | 10.78 | 10.50 |
Beam 2 | 10.74 | 10.65 | 12.11 | 10.34 | 10.06 |
Beam 3 | 8.55 | 7.93 | 7.98 | 10.16 | 11.60 |
Beam 4 | 12.02 | 11.04 | 12.48 | 17.65 | 12.93 |
Beam 5 | 8.88 | 10.46 | 9.22 | 10.88 | 10.07 |
Beam 6 | 10.43 | 11.70 | 12.32 | 10.62 | * |
RM [%] | |||||
---|---|---|---|---|---|
ST,L | ST,M | ST,R | SL,L | SL,R | |
Beam 1 | - | 12 | 22 | 28 | 27 |
Beam 2 | 15 | 31 | 23 | 48 | 52 |
Beam 3 | 26 | 45 | 26 | 86 | 10 |
Beam 4 | 17 | 11 | 17 | 10 | 29 |
Beam 5 | 45 | 19 | 44 | 50 | 3 |
Beam 6 | 17 | 35 | 12 | 62 | 3 |
Failure Configuration | Failure Detail | |
---|---|---|
Beam 1 | ||
Beam 2 | ||
Beam 3 | ||
Beam 4 | ||
Beam 5 | ||
Beam 6 |
Penetration Length x [mm] vs. Young’s Modulus y [GPa] | Correlation Curve | Regression Equation | r-squared coefficient |
MCC—3 GPa | R2 = 0.80 referred to Beams 1, 5 and 6 | ||
MCC—6 GPa | R2 = 0.78 referred to Beams 2, 3 and 4 | ||
Penetration Length x [mm] vs. Bending Strength y [MPa] | MCC—55 MPa | R2 = 0.51 referred to Beams 1, 3, 4 and 5 |
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Marzo, A.; Carpani, B.; Marghella, G.; Tripepi, C. A Methodology to Manage and Correlate Results of Non-Destructive and Destructive Tests on Ancient Timber Beams: The Case of Montorio Tower. NDT 2024, 2, 311-329. https://doi.org/10.3390/ndt2030019
Marzo A, Carpani B, Marghella G, Tripepi C. A Methodology to Manage and Correlate Results of Non-Destructive and Destructive Tests on Ancient Timber Beams: The Case of Montorio Tower. NDT. 2024; 2(3):311-329. https://doi.org/10.3390/ndt2030019
Chicago/Turabian StyleMarzo, Anna, Bruno Carpani, Giuseppe Marghella, and Concetta Tripepi. 2024. "A Methodology to Manage and Correlate Results of Non-Destructive and Destructive Tests on Ancient Timber Beams: The Case of Montorio Tower" NDT 2, no. 3: 311-329. https://doi.org/10.3390/ndt2030019
APA StyleMarzo, A., Carpani, B., Marghella, G., & Tripepi, C. (2024). A Methodology to Manage and Correlate Results of Non-Destructive and Destructive Tests on Ancient Timber Beams: The Case of Montorio Tower. NDT, 2(3), 311-329. https://doi.org/10.3390/ndt2030019