Bending Strength Design Method of Phyllostachys edulis Bamboo Based on Classification
Abstract
:1. Introduction
2. Materials and Methods
2.1. Materials
2.2. Bending Test
2.3. Reliability Analysis
3. Results and Discussion
3.1. Destruction Process and Destruction Form
3.2. Classification
3.3. Strength Statistical Analysis
3.4. Analysis of Factors Affecting Reliability
3.5. Determination of Partial Factors for Resistance
3.6. Determination of Design Values of Bending Strength
4. Conclusions
- MOE was used to classify bamboo grades. The grades and corresponding MOE ranges were Grade I (MOE < 16.5 GPa), Grade II (16.5 GPa ≤ MOE < 18.5 GPa), and Grade III (MOE ≥ 18.5 GPa).
- With the decrease of fitted data points, the cumulative probability density curves and reliability-partial factor for resistance curves under normal distribution, lognormal distribution, and Weibull distribution become closer; 75% data points and normal distribution were used to analyze the reliability of P. edulis bamboo.
- With the increase of partial factor for resistance and load ratio. The partial factor for resistance under target reliability decreases with the increase of load ratio. The partial factor for resistance under constant load and snow load combination is the largest, and the partial factor for resistance under constant load and office building load combination is the smallest. Under the same load ratio and load combination, the partial factor for resistance of grade III is the largest, while that of grade I is the smallest.
- The bending strength design values of P. edulis bamboo are as follows: grade I (29.54 MPa), grade II (29.62 MPa), grade III (30.63 MPa). The classification method and the bending design values of P. edulis bamboo presented in this paper can provide a reference for the design and engineering application of bamboo structure.
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Grade | I | II | III | |
---|---|---|---|---|
Grade boundary (GPa) | <16.5 | (16.5, 18.5) | ≥18.5 | |
Quantity n | 22 | 101 | 32 | |
Proportion (%) | 14.19 | 65.16 | 20.65 | |
MOE | Mean | 15.90 | 17.41 | 19.22 |
5% quantile | 15.25 | 16.57 | 18.56 | |
CV/% | 2.35 | 3.12 | 2.59 |
Grade I | Grade II | Grade III | ||||||||
---|---|---|---|---|---|---|---|---|---|---|
Normal | Lognormal | Weibull | Normal | Lognormal | Weibull | Normal | Lognormal | Weibull | ||
mf/MPa | 100% | 130.94 | 130.95 | 130.66 | 131.84 | 131.85 | 131.45 | 136.46 | 136.47 | 136.20 |
75% | 128.44 | 128.45 | 128.54 | 129.14 | 129.14 | 129.10 | 133.58 | 133.59 | 133.60 | |
50% | 125.89 | 125.90 | 125.99 | 126.72 | 126.72 | 126.70 | 130.87 | 130.87 | 130.88 | |
25% | 122.62 | 122.62 | 122.46 | 123.83 | 123.83 | 123.79 | 127.56 | 127.56 | 127.66 | |
CV | 100% | 0.051 | 0.051 | 0.060 | 0.048 | 0.047 | 0.060 | 0.051 | 0.051 | 0.059 |
75% | 0.040 | 0.040 | 0.037 | 0.034 | 0.034 | 0.037 | 0.039 | 0.039 | 0.039 | |
50% | 0.035 | 0.036 | 0.033 | 0.025 | 0.025 | 0.027 | 0.031 | 0.031 | 0.031 | |
25% | 0.026 | 0.026 | 0.030 | 0.013 | 0.013 | 0.014 | 0.021 | 0.021 | 0.016 | |
fk/MPa | 100% | 120.83 | 122.73 | 126.04 | ||||||
75% | 118.47 | 121.86 | 126.04 | |||||||
50% | 118.47 | 121.47 | 122.02 | |||||||
25% | 118.47 | 121.45 | 122.02 |
Load Combination | γRi | |||||||
---|---|---|---|---|---|---|---|---|
ρ = 0 | ρ = 0.25 | ρ = 0.5 | ρ = 1.0 | ρ = 2.0 | ρ = 3.0 | ρ = 4.0 | ||
Grade I | D + R | 1.66 | 1.41 | 1.24 | 1.08 | 0.94 | 0.90 | 0.87 |
D + O | 1.66 | 1.38 | 1.22 | 1.03 | 0.88 | 0.83 | 0.80 | |
D + W | 1.66 | 1.46 | 1.35 | 1.25 | 1.18 | 1.17 | 1.17 | |
D + S | 1.66 | 1.47 | 1.37 | 1.28 | 1.26 | 1.26 | 1.26 | |
Grade II | D + R | 1.69 | 1.43 | 1.27 | 1.10 | 0.96 | 0.91 | 0.89 |
D + O | 1.69 | 1.41 | 1.24 | 1.05 | 0.90 | 0.84 | 0.82 | |
D + W | 1.69 | 1.49 | 1.38 | 1.27 | 1.20 | 1.19 | 1.19 | |
D + S | 1.69 | 1.50 | 1.40 | 1.31 | 1.28 | 1.28 | 1.28 | |
Grade III | D + R | 1.70 | 1.44 | 1.28 | 1.10 | 0.97 | 0.92 | 0.90 |
D + O | 1.70 | 1.41 | 1.25 | 1.05 | 0.90 | 0.85 | 0.82 | |
D + W | 1.70 | 1.49 | 1.39 | 1.28 | 1.21 | 1.20 | 1.19 | |
D + S | 1.70 | 1.50 | 1.40 | 1.32 | 1.29 | 1.29 | 1.29 |
Grade I | Grade II | Grade III | |
---|---|---|---|
fd (MPa) | 27.40 | 27.69 | 28.47 |
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Liu, P.; Zhou, Q.; Fu, F.; Li, W. Bending Strength Design Method of Phyllostachys edulis Bamboo Based on Classification. Polymers 2022, 14, 1418. https://doi.org/10.3390/polym14071418
Liu P, Zhou Q, Fu F, Li W. Bending Strength Design Method of Phyllostachys edulis Bamboo Based on Classification. Polymers. 2022; 14(7):1418. https://doi.org/10.3390/polym14071418
Chicago/Turabian StyleLiu, Pengcheng, Qishi Zhou, Feiyang Fu, and Wei Li. 2022. "Bending Strength Design Method of Phyllostachys edulis Bamboo Based on Classification" Polymers 14, no. 7: 1418. https://doi.org/10.3390/polym14071418