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Geometric parameters which affect the short term resistance of an axially loaded glued-in rod

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Abstract

The pull-out strength of an axially loaded glued-in rod depends on the joint dimensions. For given materials, stresses into the joint and corresponding resistances are governed by geometric parameters. This paper aims at assessing the influence of each geometric parameter on failure modes which affect the timber element. The most significant ones are the shear failure of the adhesive/timber interface and the tensile failure of timber at the bottom of the hole. Some analytical approaches, supported by a large experimental database taken from referenced literature and checked by finite element simulations, are presented using a linear elastic modelling. Finally a proposal is made for a predictive, versatile, numerical model which requires a minimal experimental programme.

Résumé

La résistance à l’arrachement d’un goujon collé est intimement liée aux dimensions de l’assemblage. Celles-ci déterminent, pour des matériaux donnés, l’intensité des contraintes transmises par l’assemblage et les résistances correspondantes. Le présent article s’emploie à évaluer l’influence des paramètres géométriques sur les modes de rupture affectant l’élément bois: rupture en cisaillement de l’interface adhésif/bois et rupture en traction de l’élément bois. Des approches analytiques, basées sur les vastes travaux expérimentaux de la bibliographie et vérifiées au moyen de simulations numériques éléments finis, sont réalisées en élasticité linéaire. Une méthode de caractérisation, basée sur un modèle numérique paramétrable et sur un protocole expérimental allégé, est finalement proposée.

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Abbreviations

d r :

Rod diameter (mm)

d h :

Hole diameter (mm)

ℓ:

Anchorage length (mm)

a :

Transverse dimension of the beam (mm)

E r :

Young modulus of the rod (MPa)

E a :

Young modulus of the adhesive (MPa)

E w :

Young modulus of the timber (MPa)

τf :

Shear resistance of the glueline (MPa)

G f :

Total fracture energy of the glueline (N/mm)

t r :

Rod thickness in 2D modelling (mm) (see Fig. 9)

t a :

Glue line thickness (mm) (see Fig. 9)

P f :

Joint load carrying capacity (N)

A r :

Rod cross section (mm2)

A w :

Timber cross section (mm2)

k :

Ratio between rod and timber rigidities (E r A r and E w A w)

η :

Distance from the glued-in rod to the timber edge (mm)

σ :

Mean radial tension stress across the adhesive (MPa)

M :

Bending moment (N · mm)

V :

Transverse force (N)

I w :

Inertia of timber (mm4)

v :

deflection (mm)

References

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Authors and Affiliations

  1. Laboratoire de Rhéologie du Bois de Bordeaux, 69 route d’Arcachon, Pierroton, 33612, Cestas cedex, France

    Vincent Gardelle & Pierre Morlier

Authors
  1. Vincent Gardelle
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  2. Pierre Morlier
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Correspondence to Pierre Morlier.

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Gardelle, V., Morlier, P. Geometric parameters which affect the short term resistance of an axially loaded glued-in rod. Mater Struct 40, 127–138 (2007). https://doi.org/10.1617/s11527-006-9155-3

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