Finite element analysis of stress and strain distributions in mortise and loose tenon furniture joints

Abstract

We studied the effect of loose tenon dimensions on stress and strain distributions in T-shaped mortise and loose tenon (M&LT) furniture joints under uniaxial bending loads, and determined the effects of loose tenon length (30, 45, 60, and 90 mm) and loose tenon thickness (6 and 8 mm) on bending moment capacity of M&LT joints constructed with polyvinyl acetate (PVAc) adhesive. Stress and strain distributions in joint elements were then estimated for each joint using ANSYS finite element (FE) software. The bending moment capacity of joints increased significantly with thickness and length of the tenon. Based on the FE analysis results, under uniaxial bending, the highest shear stress values were obtained in the middle parts of the tenon, while the highest shear elastic strain values were estimated in glue lines between the tenon surfaces and walls of the mortise. Shear stress and shear elastic strain values in joint elements generally increased with tenon dimensions and corresponding bending moment capacities. There was consistency between predicted maximum shear stress values and failure modes of the joints.

Keywords

bending moment capacity / failure mode / finite element / furniture / mortise and loose tenon joint / stress and strain distributions

References

[1] Çolakoğlu MH, Apay AC. Finite element analysis of wooden chair strength in free drop. International Journal of the Physical Sciences, 2012, 7(7): 1105-1114.

[2] Demirci H. The experimental and finite element analysis of diagonal tensile tests conducted on frame-type constructed corner joints. Technology, 2011, 14(1): 11-21.

[3] Derikvand M, Smardzewski J, Ebrahimi GH, Dalvand M, Maleki S. Withdrawal force capacity of T-type mortise and loose tenon furniture joints. Turkish Journal of Agriculture and Forestry, 2013, 37: 377-384.

[4] Electronic Journal of Polish Agricultural Universities, Wood Technology, 2006, 9 4

[5] Kasal A. Determination of the strength of various sofa frames with finite element analysis. GUJS, 2006, 19(4): 191-203.

[6] Koç KH, Kizilkaya K, Erdinler ES, Korkut DS. The use of finite element method in the furniture industry. African Journal of Business Management, 2011, 5(3): 855-865.

[7] Mackerle J. Finite element analyses in wood research: a bibliography. Wood Science and Technology, 2005, 39: 579-600.

[8] Maleki S, Derikvand M, Dalvand M, Ebrahimi G. Load carrying capacity of mitered furniture corner joints with dovetail keys under diagonal tension load. Turkish Journal of Agriculture and Forestry, 2012, 36: 636-643.

[9] Mohamadzadeh M, Rostampour Haftkhani A, Ebrahimi G, Yoshihara H. Numerical and experimental failure analysis of screwed single shear joints in wood plastic composite. Materials & Design, 2012, 35: 404-413.

[10] Smardzewski J. Auxetic springs for seating. Turkish Journal of Agriculture and Forestry, 2012, 37: 369-376.

[11] Electronic Journal of Polish Agricultural Universities, Wood Technology, 2005, 8 2

[12] Electronic Journal of Polish Agricultural Universities, Wood Technology, 2004, 7 1

[13] Electronic Journal of Polish Agricultural Universities, Wood Technology, 2002, 5 2