Numerical Analyses of Various Sizes of Mortise and Tenon Furniture Joints

Abstract

This study reports the moment resistance, stiffness, and numerical analysis of various sizes of round-end mortise and tenon joints. L-shaped and T-shaped specimens were constructed. Joints were manufactured using three tenon widths and three tenon lengths with 10 replications for each combination. Specimens were constructed of Turkish beech, and the joints were assembled with polyvinylacetate (PVAc) adhesive. Bending tests were carried out in compliance with accepted test methods. Numerical analyses were performed with finite element method (FEM) software. At the end of the study, the joints became stronger and stiffer as either tenon width or length increased. Tenon length had a more significant effect on moment resistance, while tenon width had a more significant effect on stiffness. Ultimate moment resistances were obtained with Lshaped joint construction of 50 × 50 mm tenons and T-shaped joint construction of 40 × 50 mm tenons. Strength of a chair could be increased by considering these results in engineering design process. Results showed that the numerical analyses gave reasonable estimates of mechanical behavior of joints. Analytical calculations and numerical simulations confirmed that the maximum stress in the glue line was concentrated at the edge and corners, and that the modeled joints had a shape-adhesive nature.

Effects of Geometric Parameters of Structural Elements on Joint Stiffness

“…14). Kasal et al (2016) experimentally tested a beechwood (Fagus orientalis L.) corner joint from mortise and tenon glued with PVAc adhesive. They mentioned stiffness of L-shaped joints 1,235 Nm/rad for tenon 30 x 30 mm (width x length).…”

Experimental and Numerical Study on Methods of Testing Withdrawal Resistance of Mortise-and-Tenon Joint for Wood Products

“…For the sample used in the compressive method, the length of the tenon member can be regarded as zero. However, for the T-shaped sample used in the tensile method, the lengths of tenon members were different in previous studies [20][21][22].…”

“…For the sample used in the compressive method, the length of the tenon member can be regarded as zero. However, for the T-shaped sample used in the tensile method, the lengths of tenon members were different in previous studies [20][21][22]. In order to further study the effect of the length of the tenon member on withdrawal resistance, finite element models of T-shaped samples with different tenon member lengths were established.…”

Size Effect on the Elastic Mechanical Properties of Beech and Its Application in Finite Element Analysis of Wood Structures

“…Material strength properties required for inputs were compressive proportional limit stress in longitudinal, tangential, and radial directions, respectively, and the shear strength of glue bonding. Elastic properties of beech wood were measured in this experiment, whereas elastic properties of PVAc glue line were obtained from the literature [28], such as the elastic modulus was 460 MPa and Poisson's ratio was 0.3. The elastic constants determined by five types of specimens were specified to a quarter-chair finite element model created by ABAQUS6.14-1, respectively, shown in Figure 7.…”