Analysis to Improve the Strength of Beds Due to the Excess Weight of Users in Slovakia
Abstract
:1. Introduction
2. Analysis Approach
2.1. Experimental Subjects
2.2. Static Load Test of Beds
2.3. Designing in Accordance with the Limit State
2.3.1. Strength of Elements
- σt,0,d—design tensile stress parallel to grains
- ft,0,d—design tensile strength of timber parallel (perpendicular) to grains, at which
- ft,0,k—typical tensile strength of timber parallel to grains (for spruce wood ft,0,k = 24 MPa, for beech wood ft,0,k = 42 MPa)
- γM—partial safety factor, γM = 1.3 for wood and wood materials
- kmod—modification factor dealing with the impact of the time of applying the load and the moisture content on the strength of material kmod = 1.10 for immediate load [55]
- σc,0,d—design compressive stress,
- fc,0,d—design compressive strength, at which
2.3.2. Element Bending
2.4. Methodology for Static Loading Testing of Bed Slats
2.5. Methodology for Static Loading Testing of Sideboard
3. Results
4. Discussion and Conclusions
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
References
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Material constants for Norway spruce (Picea abies L.) | ||||||||
Young’s Modulus (MPa) | Poisson’s Ratio | Shear Modulus (MPa) | ||||||
Ex | EY | EZ | µXY | µYZ | µXZ | GXY | GYZ | GXz |
13,650.2 | 789.6 | 289.6 | 0.028 | 0.363 | 0.012 | 573.0 | 53.4 | 474.0 |
Material constants for European beech (Fagus sylvatica L.) | ||||||||
Young’s Modulus (MPa) | Poisson’s Ratio (-) | Shear Modulus (MPa) | ||||||
Ex | EY | EZ | µXY | µYZ | µXZ | GXY | GYZ | GXz |
16,670.0 | 1130.0 | 630.0 | 0.044 | 0.33 | 0.027 | 1200.0 | 190.0 | 930.0 |
Tensile Stress ft,0,d Along the Grain | Compressive Stress fc,0,d Along the Grain | Density ρ0 (kg/m3) | |
---|---|---|---|
Picea abies L. | 20.30 | 22.85 | 392.0 |
Fagus sylvatica L. | 35.53 | 48.32 | 684.0 |
Size/Material (mm) | Load 1400 N | Load 2100 N | ||
---|---|---|---|---|
Tensile Stress σt,0,d (MPa) | Compressive Stress σc,0,d (MPa) | Tensile Stress σt,0,d (MPa) | Compressive Stress σc,0,d (MPa) | |
95 × 20/800 Picea abies L. | 17.95 passed | 22.08 passed | 32.64 failed | 40.14 failed |
95 × 20/900 Picea abies L. | 24.02 failed | 29.574 failed | 36.03 failed | 44.361 failed |
95 × 20/1050 Picea abies L. | 28.021 failed | 24.021 failed | 42.031 failed | 51.031 failed |
Size/Material | Load 1400 N | Load 2100 N | ||
---|---|---|---|---|
Tensile Stress U σt,0,d (MPa) | Compressive Stress σc,0,d (MPa) | Tensile Stress σt,0,d (MPa) | Compressive Stress σc,0,d (MPa) | |
95 × 20/800 Picea abies L. supported beam | 17.196 passed | 25.907 failed | ||
95 × 20/900 Picea abies L. supported beam | 15.072 passed | 16.138 passed | 22.608 failed | 24.207 failed |
95 × 20/1050 Picea abies L. supported beam | 18.301 passed | 18.73 passed | 27.452 failed | 28.096 failed |
95 × 20/900 Fagus sylvatica L. unsupported beam | 23.908 passed | 28.49 passed | 35.009 passed | 41.719 passed |
95 × 20/1050 Fagus sylvatica L. unsupported beam | 27.923 passed | 32.81 passed | 41.885 failed | 49.885 failed |
95 × 20/1050 Fagus sylvatica L. supported beam | 26.862 passed | 27.184 passed |
Length of the Beam l = 2000 mm | ||
---|---|---|
F = 1200 N | F = 1800 N | |
Tensile stress σt,0,d (MPa) | 3.2535 | 4.8802 |
Compressive stress σc,0,d (MPa) | 4.4929 | 6.7394 |
Deformation y (mm) | 1.4707 | 2.2061 |
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Réh, R.; Krišťák, Ľ.; Hitka, M.; Langová, N.; Joščák, P.; Čambál, M. Analysis to Improve the Strength of Beds Due to the Excess Weight of Users in Slovakia. Sustainability 2019, 11, 624. https://doi.org/10.3390/su11030624
Réh R, Krišťák Ľ, Hitka M, Langová N, Joščák P, Čambál M. Analysis to Improve the Strength of Beds Due to the Excess Weight of Users in Slovakia. Sustainability. 2019; 11(3):624. https://doi.org/10.3390/su11030624
Chicago/Turabian StyleRéh, Roman, Ľuboš Krišťák, Miloš Hitka, Nadežda Langová, Pavol Joščák, and Miloš Čambál. 2019. "Analysis to Improve the Strength of Beds Due to the Excess Weight of Users in Slovakia" Sustainability 11, no. 3: 624. https://doi.org/10.3390/su11030624
APA StyleRéh, R., Krišťák, Ľ., Hitka, M., Langová, N., Joščák, P., & Čambál, M. (2019). Analysis to Improve the Strength of Beds Due to the Excess Weight of Users in Slovakia. Sustainability, 11(3), 624. https://doi.org/10.3390/su11030624