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Approximate numerical model for adhesive scarf joints in wooden beams

Rapp P., Fiszer S.

Drewno : prace naukowe, doniesienia, komunikaty

2015

vol. 58, nr 194

5--21

The purpose of this paper is to formulate an approximate numerical model for adhesive scarf joints in wooden beams under the assumption that the joint is deformable. This approximate model is founded on observations resulting from the general solution of the plane linear theory of elasticity. It is assumed that wood is orthotropic. The joint can be subjected to a complex load combination including an axial force, a shear force and a bending moment. Within this framework, analytical relations for stresses in the adhesive, as well as stresses and displacements of the adherends, were derived in a form useful for engineering practice. A numerical example proves the high accuracy of the approximate model when compared to the general model based on the plane linear theory of elasticity.

Computational model of adhesive scarf joints in timber beams

Rapp P.

Drewno : prace naukowe, doniesienia, komunikaty

2014

vol. 57, nr 193

5--35

The subject of this paper is the general formulation of a model for scarf adhesive joints in timber beams within the framework of plane linear elasticity. It is assumed that wood is orthotropic. The joint can be subjected to a complex loading state including an axial force, a bending moment and a shear force. The joint model is given in displacements by means of a set of four partial differential equations of the second order. Boundary conditions cater for sharp edges in the adherends. Complete solutions to theory of elasticity equations are presented and discussed. The manner in which the joint transmits the axial force, the bending moment and the shear force is presented. It is shown that the scarf joint does not feature stress concentrations and that there exists an approximate equivalence of displacements and stress states in scarf jointed and continuous elements.