Sandalye yan çerçeve birleştirmelerinde yarı rijitlik katsayılarının nümerik analiz sonuçlarına etkileri
Year 2025,
Volume: 26 Issue: 3, 384 - 394, 30.09.2025
Ali Kasal
,
Mustafa Batuhan Ulun
,
Tolga Kuşkun
Abstract
Bu çalışmada, sandalye yan çerçeve birleştirmelerine ait yarı rijitlik katsayılarının belirlenmesi ve sonlu elemanlar yöntemiyle (FEM) gerçekleştirilen nümerik analizlerde kullanılması amaçlanmıştır. Deney örneklerinin hazırlanmasında Doğu kayını (Fagus orientalis L.) ve sarıçam (Pinus sylvestris L.); birleştirme tekniği olarak da kavelalı-tutkallı birleştirme tercih edilmiştir. Yan çerçeve birleştirmelerini temsilen, T-tipi ve L-tipi örnekler farklı çap ve boyda kavelalar kullanılarak hazırlanmış ve yarı rijitlik katsayıları üzerinde bu faktörlerin etkileri belirlenmiştir. Örneklere statik eğilme testi uygulanmış ve moment-rotasyon grafiklerinin elastik bölgesine göre yarı rijitlik katsayıları belirlenmiştir. Daha sonra yarı rijitlik katsayıları kullanılarak nümerik analizler gerçekleştirilmiş ve birleştirmelerin rijit ya da yarı rijit tanımlanmasının, sistemin moment dağılımı ve yer değiştirmeler üzerindeki etkisi belirlenmiştir. Çalışma sonucunda, yarı rijitlik katsayıları yüksek olan birleştirmelerde, yer değiştirme değerlerinin düştüğü ve daha az deformasyon olduğu anlaşılmış olup bu sonuçlar birleştirme deneylerinden elde edilen deformasyon karakteristikleri ile tutarlıdır. En yüksek yarı rijitlik katsayıları, 10 × 35 veya 40 mm (4905 Nm/rad) kavelalarla birleştirilen Doğu kayını birleştirmelerde elde edilirken, en düşük değerler ise 8 × 40 mm (1892 Nm/rad) kavelalarla birleştirilen Sarıçam birleştirmelerde elde edilmiştir.
Ethical Statement
Bu makale, birinci yazarın danışmanlığında, TÜBİTAK 2209-A Üniversite Öğrencileri Araştırma Projeleri Destekleme Programı 1919B012208752 başvuru numarasıyla desteklenen ikinci yazarın yürütücü olduğu projeden üretilmiştir.
Supporting Institution
TÜBİTAK - Türkiye Bilimsel ve Teknolojik Araştırma Kurumu
Project Number
1919B012208752
References
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American Library Associations (ALA), 1982. The use of performance tests and quality assurance programs in the selection of library chairs. Library Technology Reports, 18 (5): 483–571.
-
Cai, L., Wang, F., 1993. Influence of the stiffness of corner joint on case furniture deflection. Holz als Roh-und Werkstoff, 51: 406–408. DOI: 10.1007/BF02628238
-
Ceylan, E., Güray, E., Kasal, A., 2021. Structural analyses of wooden chairs by finite element method (FEM) and assessment of the cyclic loading performance in comparison with allowable design loads. Maderas. Ciencia y tecnología, 23(19): 1-16. DOI: 10.4067/s0718-221x2021000100419
-
Chen, M., Li, X., Lyu, J. 2018. Influence of dowel diameter and curing time on strength of double dowel joint. Wood Research, 63(4): 591–598.
-
Davison, J., Kirby B.P., Nethercot A., 1987. Rotational stiffness characteristics of steel beam-to-column connections. Journal of Constructional Steel Research, 8: 17-54. DOI:10.1016/0143-974X(87)90052-6
-
Demirel, S., Kalayci, G. 2020. Measuring and estimating shear force of one sta¬pled and one-row multi stapled wood joints. Maderas Ciencia Y Teknologia., 22(3): 395-404. DOI:10.4067/S0718-221X2020005000313
-
Demirel, S., Er, R.S., 2022. Evaluation and comparison of control and heat treated L-shape furniture joints produced from scotch pine and ash wood under static bending and cyclic fatigue bending loadings. Maderas Ciencia Y Tecnologia, 24 (20):1-14. http://dx.doi.org/10.4067/s0718-221x2022000100420
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Eckelman, C.A. 1968. Furniture Frame Analysis and Design. Ph.D. Dissertation, Purdue University, West Lafayette, Indiana, USA.
-
Eckelman, C.A., 1995. An overview of the ALA test method with test reports on side chairs. Library Technology Reports, 31 (2): 115-214.
-
Eckelman, C.A., 1999. Performance testing of side chair. Holz als Roh-und Werkstoff, 57: 227–234.
-
Eckelman, C.A., Erdil, Y. Z., 1999. Joint design manual for furniture frames constructed of plywood and oriented standard board. Proceedings of I. International Furniture Congress, 08-10 October, İstanbul, Türkiye, pp. 265-305.
-
Faella, C., Piluso, V., Rizzano, G., 2000. Structural Steel Semirigid Connections: Theory, Design, and Software, CRC Press, Boca Raton, Florida.
-
Frye, M.J., Morris, G.A., 1975. Analysis of flexibly connected steel frames. Canadian Journal of Civil Engineering, 2: 280-291. DOI:10.1139/l75-026
-
Gustafsson, S.I., 1996. Finite element modelling versus reality for birch chairs. Holz als Roh-und Werkstoff, 54 (5): 355-359.
-
Güntekin, E., Aydın, T.Y., Aydın, M., 2016a. Elastic constants of oriental beech and sessile oak. Proceedings of 2. International Furniture Congress, 13-15 Ekim, Muğla, Türkiye, pp. 290-292.
-
Güntekin, E. Aydın, T.Y. Niemz, P. 2016b. Some orthotropic elastic properties of Fagus orientalis as influenced by moisture content. Wood Research, 61 (1): 95-104.
-
Güntekin, E., 2023. Determination of elastic constants for scots pine wood using ultrasound. Turkish Journal of Forestry, 24(4): 399-402.
-
Güray, E., Kasal, A., Aktürk, Ş., Kuşkun, T., Smardzewski, J., 2022. Structural analysis of a chair side frame connected with semi-rigid joints by slope-deflection method. Proceedins of 30. International Conference Research for Furniture Industry, Poznań, Poland, pp. 146-162.
-
Haviarova, E., Eckelman, C.A., Erdil, Y.Z., 2001a. Design and testing of environmentally friendly wood school chairs for developing countries. Forest Product Journal, 51(3): 58–64.
-
Haviarova, E., Eckelman, C.A., Erdil, Y.Z., 2001b. Design and testing of wood school desk frames suitable for production by low technology methods from waste wood residues. Forest Product Journal, 51 (5): 79–88.
-
Hu, W., Guan, H., 2019. A finite element model of semi-rigid mortise-and-tenon joint considering glue line and friction coefficient. Journal of Wood Science, 65 (14). DOI:10.1186/s10086-019-1794-4
-
Kasal, A., Smardzewski, J., Kuskun, T., Erdil, Y.Z., 2016. Numerical analyses of various sizes of mortise and tenon furniture joints. BioResources, 11(3): 6836-6853. https://doi.org/10.15376/biores.11.3.6836-6853
-
Kuşkun, T., Kasal, A., Haviarova, E., Kilic, H., Uysal, M., Erdil Y.Z., 2018. Relationship between static and cyclic front to back load capacity of wooden chairs and evaluation of the strenght values accordıng to acceptable desing values. Wood and Fiber Science, 50 (4): 1-9.
-
Likos, E., Haviarova, E., Eckelman, C.A., Erdil, Y.Z., Özçiftçi, A., 2012. Static versus cyclic load capacity of side chairs constructed with mortise and tenon joints. Wood and Fiber Science, Tecnical report, 45 (2): 223-227.
-
Örs, Y., Efe, H., 1998. The mechanical behavior properties of fasteners in furniture design for frame construction. Turkish Journal of Agriculture and Forestry, 22: 21-28.
-
RISA – 3D Version 4.1 - General Reference, 2000. RISA Technologies, 26632 Towne Centre Drive, Suite 210 Foothill Ranch, California 92610.
-
Roche, S., Robeller, C., Humbert, L., Weinand, Y., 2015. On the semi-rigidity of dovetail joint for the joinery of LVL panels. European Journal of Wood and Wood Products, 73: 667–675. DOI:10.1007/s00107-015-0932-y
-
Sekulovic, M., Salatic, R., 2001. Nonlinear analysis of frames with flexible connections. Computers and Structures, 79(11): 1097-1107.
-
Sekulovic, M., Salatic, R., Nefovska, M., 2002. Dynamic analysis of steel frames with flexible connections. Computers and Structures, 80(11): 935-955.
-
Simeonova, R., Marinova, A., Jivkov, V., 2015. Study on stiffness coefficients under bending test of end corner detachable joints of structural elements made of plywood. Innovation in Woodworking Industry and Engineering Design, 1(7): 59-66.
-
Smardzewski, J., Ozarska, B., 2005. Rigidity of cabinet furniture with semi-rigid joints of the confirmat type. Electronic Journal of Polish Agricultural Unıversities, 8 (2): 1-12. http://www.ejpau.media.pl/
-
TS ISO 13061-1, 2021. Odunun fiziksel ve mekanik özellikleri – kusursuz küçük ahşap numunelerin deney yöntemleri - Bölüm 1: fiziksel ve mekanik deneyler için nem muhtevasının belirlenmesi. T.S.E. Ankara, Türkiye.
-
TS ISO 13061-2, 2021. Odunun fiziksel ve mekanik özellikleri – kusursuz küçük ahşap numunelerin deney yöntemleri - Bölüm 2: fiziksel ve mekanik deneyler için yoğunluğun belirlenmesi. T.S.E. Ankara, Türkiye.
-
TS ISO 13061-3, 2021. Odunun fiziksel ve mekanik özellikleri - Kusursuz küçük ahşap numunelerin deney yöntemleri - Bölüm 3: Statik eğilmede nihai mukavemet tayini. T.S.E. Ankara, Türkiye.
-
TS ISO 13061-4, 2021. Odunun fiziksel ve mekanik özellikleri - kusursuz küçük ahşap numunelerin deney yöntemleri - bölüm 4: statik eğilmede elastikiyet modülünün tayini. T.S.E. Ankara, Türkiye.
-
USDA Forest Product Laboratory, Wood Handbook, 2021. USDA Agricultural Handbook 72, USDA Forest Service, Forest Product Laboratory, Madison, WI, USA. https://research.fs. usda.gov/treesearch/62200
-
Uysal, M., Haviarova, E., 2021. Evaluating design of mortise and tenon furniture joints under bending loads by lower tolerance limits. Wood and Fiber Science, 53(2):109-125. DOI:10.22382/wfs-2021-13
-
Uysal, M., 2023. Coefficient of acceptability for joints in furniture frame analysis under cyclic loads. Journal of Innovative Science and Engineering, 7 (1): 60-73. DOI:10.38088/jise.1183127
-
Yüksel, M., Kılıç, H., Kuşkun, T., Kasal, A., 2022. Predictive expressions for withdrawal force capacity of various size of dowels from particleboard and medium density fiberboard. Maderas. Ciencia y Tecnología, 24(36): 1-16. DOI: 10.4067/s0718-221x2022000100436
Effects of the semi-rigidity coefficients on numerical analysis results in chair side frame joints
Year 2025,
Volume: 26 Issue: 3, 384 - 394, 30.09.2025
Ali Kasal
,
Mustafa Batuhan Ulun
,
Tolga Kuşkun
Abstract
In this study, it is aimed to determine the semi-rigidity coefficients related to joints of chair side frame and to use them numerical analyses with finite element method (FEM). Turkish beech (Fagus orientalis L.) and Scotch pine (Pinus sylvestris L.) were used for preparing the specimens; and glued dowel joint was preferred as jointing technique. T-type and L-type specimens were utilized for representing the side frame joints. Different diameters and lengths of dowels were used in the specimens, and effects of dowel these factors on semi-rigidity coefficients of joints were determined. Specimens were tested under static bending and semi-rigidity coefficients were determined by considering the elastic region of moment-rotation graphs. Then, numerical analyses were performed using these semi-rigidity coefficients and effect of defining the joints as rigid or semi-rigid on moment distribution and deflections at the joints was determined. As a result of study, it was understood that the chairs consisting of joints with high semi-rigidity coefficients, deflections decreased and joints deformed less, and these results were consistent with the deformation charactheristics results obtained from real tests. The highest semi-rigidity coefficients were obtained from the Turkish beech T-type joints connected with 10 × 35 or 40 mm (4905 Nm/rad) dowels while the lowest values were obtained from the Scotch pine L-type joints connected with 8 × 40 mm (1892 Nm/rad) dowels.
Ethical Statement
This paper is produced from the second author's project supported by TÜBİTAK 2209-A University Students Research Projects Support Program with the application number 1919B012208752 and supervised by the first author.
Supporting Institution
TUBITAK - The Scientific and Technological Research Council of Türkiye
Project Number
1919B012208752
Thanks
This paper is produced from the second author's project supported by TÜBİTAK 2209-A University Students Research Projects Support Program with the application number 1919B012208752 and supervised by the first author.
References
-
American Library Associations (ALA), 1982. The use of performance tests and quality assurance programs in the selection of library chairs. Library Technology Reports, 18 (5): 483–571.
-
Cai, L., Wang, F., 1993. Influence of the stiffness of corner joint on case furniture deflection. Holz als Roh-und Werkstoff, 51: 406–408. DOI: 10.1007/BF02628238
-
Ceylan, E., Güray, E., Kasal, A., 2021. Structural analyses of wooden chairs by finite element method (FEM) and assessment of the cyclic loading performance in comparison with allowable design loads. Maderas. Ciencia y tecnología, 23(19): 1-16. DOI: 10.4067/s0718-221x2021000100419
-
Chen, M., Li, X., Lyu, J. 2018. Influence of dowel diameter and curing time on strength of double dowel joint. Wood Research, 63(4): 591–598.
-
Davison, J., Kirby B.P., Nethercot A., 1987. Rotational stiffness characteristics of steel beam-to-column connections. Journal of Constructional Steel Research, 8: 17-54. DOI:10.1016/0143-974X(87)90052-6
-
Demirel, S., Kalayci, G. 2020. Measuring and estimating shear force of one sta¬pled and one-row multi stapled wood joints. Maderas Ciencia Y Teknologia., 22(3): 395-404. DOI:10.4067/S0718-221X2020005000313
-
Demirel, S., Er, R.S., 2022. Evaluation and comparison of control and heat treated L-shape furniture joints produced from scotch pine and ash wood under static bending and cyclic fatigue bending loadings. Maderas Ciencia Y Tecnologia, 24 (20):1-14. http://dx.doi.org/10.4067/s0718-221x2022000100420
-
Eckelman, C.A. 1968. Furniture Frame Analysis and Design. Ph.D. Dissertation, Purdue University, West Lafayette, Indiana, USA.
-
Eckelman, C.A., 1995. An overview of the ALA test method with test reports on side chairs. Library Technology Reports, 31 (2): 115-214.
-
Eckelman, C.A., 1999. Performance testing of side chair. Holz als Roh-und Werkstoff, 57: 227–234.
-
Eckelman, C.A., Erdil, Y. Z., 1999. Joint design manual for furniture frames constructed of plywood and oriented standard board. Proceedings of I. International Furniture Congress, 08-10 October, İstanbul, Türkiye, pp. 265-305.
-
Faella, C., Piluso, V., Rizzano, G., 2000. Structural Steel Semirigid Connections: Theory, Design, and Software, CRC Press, Boca Raton, Florida.
-
Frye, M.J., Morris, G.A., 1975. Analysis of flexibly connected steel frames. Canadian Journal of Civil Engineering, 2: 280-291. DOI:10.1139/l75-026
-
Gustafsson, S.I., 1996. Finite element modelling versus reality for birch chairs. Holz als Roh-und Werkstoff, 54 (5): 355-359.
-
Güntekin, E., Aydın, T.Y., Aydın, M., 2016a. Elastic constants of oriental beech and sessile oak. Proceedings of 2. International Furniture Congress, 13-15 Ekim, Muğla, Türkiye, pp. 290-292.
-
Güntekin, E. Aydın, T.Y. Niemz, P. 2016b. Some orthotropic elastic properties of Fagus orientalis as influenced by moisture content. Wood Research, 61 (1): 95-104.
-
Güntekin, E., 2023. Determination of elastic constants for scots pine wood using ultrasound. Turkish Journal of Forestry, 24(4): 399-402.
-
Güray, E., Kasal, A., Aktürk, Ş., Kuşkun, T., Smardzewski, J., 2022. Structural analysis of a chair side frame connected with semi-rigid joints by slope-deflection method. Proceedins of 30. International Conference Research for Furniture Industry, Poznań, Poland, pp. 146-162.
-
Haviarova, E., Eckelman, C.A., Erdil, Y.Z., 2001a. Design and testing of environmentally friendly wood school chairs for developing countries. Forest Product Journal, 51(3): 58–64.
-
Haviarova, E., Eckelman, C.A., Erdil, Y.Z., 2001b. Design and testing of wood school desk frames suitable for production by low technology methods from waste wood residues. Forest Product Journal, 51 (5): 79–88.
-
Hu, W., Guan, H., 2019. A finite element model of semi-rigid mortise-and-tenon joint considering glue line and friction coefficient. Journal of Wood Science, 65 (14). DOI:10.1186/s10086-019-1794-4
-
Kasal, A., Smardzewski, J., Kuskun, T., Erdil, Y.Z., 2016. Numerical analyses of various sizes of mortise and tenon furniture joints. BioResources, 11(3): 6836-6853. https://doi.org/10.15376/biores.11.3.6836-6853
-
Kuşkun, T., Kasal, A., Haviarova, E., Kilic, H., Uysal, M., Erdil Y.Z., 2018. Relationship between static and cyclic front to back load capacity of wooden chairs and evaluation of the strenght values accordıng to acceptable desing values. Wood and Fiber Science, 50 (4): 1-9.
-
Likos, E., Haviarova, E., Eckelman, C.A., Erdil, Y.Z., Özçiftçi, A., 2012. Static versus cyclic load capacity of side chairs constructed with mortise and tenon joints. Wood and Fiber Science, Tecnical report, 45 (2): 223-227.
-
Örs, Y., Efe, H., 1998. The mechanical behavior properties of fasteners in furniture design for frame construction. Turkish Journal of Agriculture and Forestry, 22: 21-28.
-
RISA – 3D Version 4.1 - General Reference, 2000. RISA Technologies, 26632 Towne Centre Drive, Suite 210 Foothill Ranch, California 92610.
-
Roche, S., Robeller, C., Humbert, L., Weinand, Y., 2015. On the semi-rigidity of dovetail joint for the joinery of LVL panels. European Journal of Wood and Wood Products, 73: 667–675. DOI:10.1007/s00107-015-0932-y
-
Sekulovic, M., Salatic, R., 2001. Nonlinear analysis of frames with flexible connections. Computers and Structures, 79(11): 1097-1107.
-
Sekulovic, M., Salatic, R., Nefovska, M., 2002. Dynamic analysis of steel frames with flexible connections. Computers and Structures, 80(11): 935-955.
-
Simeonova, R., Marinova, A., Jivkov, V., 2015. Study on stiffness coefficients under bending test of end corner detachable joints of structural elements made of plywood. Innovation in Woodworking Industry and Engineering Design, 1(7): 59-66.
-
Smardzewski, J., Ozarska, B., 2005. Rigidity of cabinet furniture with semi-rigid joints of the confirmat type. Electronic Journal of Polish Agricultural Unıversities, 8 (2): 1-12. http://www.ejpau.media.pl/
-
TS ISO 13061-1, 2021. Odunun fiziksel ve mekanik özellikleri – kusursuz küçük ahşap numunelerin deney yöntemleri - Bölüm 1: fiziksel ve mekanik deneyler için nem muhtevasının belirlenmesi. T.S.E. Ankara, Türkiye.
-
TS ISO 13061-2, 2021. Odunun fiziksel ve mekanik özellikleri – kusursuz küçük ahşap numunelerin deney yöntemleri - Bölüm 2: fiziksel ve mekanik deneyler için yoğunluğun belirlenmesi. T.S.E. Ankara, Türkiye.
-
TS ISO 13061-3, 2021. Odunun fiziksel ve mekanik özellikleri - Kusursuz küçük ahşap numunelerin deney yöntemleri - Bölüm 3: Statik eğilmede nihai mukavemet tayini. T.S.E. Ankara, Türkiye.
-
TS ISO 13061-4, 2021. Odunun fiziksel ve mekanik özellikleri - kusursuz küçük ahşap numunelerin deney yöntemleri - bölüm 4: statik eğilmede elastikiyet modülünün tayini. T.S.E. Ankara, Türkiye.
-
USDA Forest Product Laboratory, Wood Handbook, 2021. USDA Agricultural Handbook 72, USDA Forest Service, Forest Product Laboratory, Madison, WI, USA. https://research.fs. usda.gov/treesearch/62200
-
Uysal, M., Haviarova, E., 2021. Evaluating design of mortise and tenon furniture joints under bending loads by lower tolerance limits. Wood and Fiber Science, 53(2):109-125. DOI:10.22382/wfs-2021-13
-
Uysal, M., 2023. Coefficient of acceptability for joints in furniture frame analysis under cyclic loads. Journal of Innovative Science and Engineering, 7 (1): 60-73. DOI:10.38088/jise.1183127
-
Yüksel, M., Kılıç, H., Kuşkun, T., Kasal, A., 2022. Predictive expressions for withdrawal force capacity of various size of dowels from particleboard and medium density fiberboard. Maderas. Ciencia y Tecnología, 24(36): 1-16. DOI: 10.4067/s0718-221x2022000100436