TECHNICAL PAPERS
Mar 1, 2006

Finite-Element Modeling of Timber Joints with Punched Metal Plate Fasteners

Publication: Journal of Structural Engineering
Volume 132, Issue 3

Abstract

The focus of this paper is to describe the idea and the theory behind a finite-element model developed for analysis of timber trusses with punched metal plate fasteners (nail plates). The finite-element model includes the semirigid and nonlinear behavior of the joints (nonlinear nail and plate elements) and contact between timber beams, if any (bilinear contact elements). The timber beams have linear-elastic properties. The section forces needed for design of the joints are given directly by the finite-element model, since special elements are used to model the nail groups and the nail plate area over the joint lines. The finite-element model is based on the Foschi model, but with further improvements. After the theory of the model is described, results from experimental tests with two types of nail plate joints are compared with predictions given by the model. The model estimates the behavior of the joints very well at lower load levels. At higher load levels the stiffness is overestimated due to development of cracks in the timber and the linear-elastic timber properties in the finite-element model.

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Acknowledgments

The project was financed by the Danish Forest and Nature Agency. Some of the nail plates were kindly delivered by Gang-Nail Sweden (MiTek), and some of the timber material was delivered by the Association of Manufacturers of Roof Trusses in Denmark. The guidance by Professor Esben Byskov and Assistant Professor Lars Pilegaard Mikkelsen, Aalborg University, Denmark, for setting up parts of the theory for the plate element is appreciated.

References

Byskov, E. (1982). “Plastic symmetry of Roorda’s frame.” J. Struct. Mech., 10(3), 311–328.
Ellegaard, P. (2002). “Analysis of timber joints with punched metal plate fasteners—With focus on knee joints.” PhD thesis, Dept. of Building Technology and Structural Engineering, Univ. of Aalborg, Denmark.
Foschi, R. O. (1977). “Analysis of wood diaphragms and trusses. Part II: Truss-plate connections.” Can. J. Civ. Eng., 4(3), 353–362.
Gupta, R., Gebremedhin, K. G., and Cooke, J. R. (1992). “Analysis of metal-plate-connected wood trusses with semi-rigid joints.” Trans. ASAE, 35(3), 1011–1018.
Kathleen, A. W. R., and Sashi, K. K. (2003). “Deflection of metal plate connected wood trusses with nontriangulated openings.” J. Struct. Eng., 129(11), 1546–1558.
Kevarinmäki, Ari. (2000). “Semi-rigid behavior of nail plate joints.” PhD thesis, Helsinki Univ. of Technology, Finland, TKK-TRT-109.
Larsen, H. J., and Jensen, J. L. (2000). “Influence of semi-rigidity of joints on the behaviour of timber structures.” Prog. Struct. Eng. Mater., 2(3), 267–277.
Maraghechi, K., and Itani, R. Y. (1984). “Influence of truss plate connectors on the analysis of light-frame structures.” Wood Fiber Sci., 16(3), 306–322.
Nielsen, J. (1996). “Stiffness analysis of nail-plate joints subjected to short-term loads.” PhD thesis, Dept. of Building Technology and Structural Engineering, Univ. of Aalborg, Denmark.
Olsson, A., and Rosenqvist, F. (1996). “Jämförande beräkningar av nedböjningar hos trätakstolar med spikplåtförband [Comparative computation of deflections in wooden roof trusses connected with nail plates].” Report TVSM-5066, Division of Structural Mechanics, Lund Univ., Sweden (in Swedish).
Riberholt, H. (1982). “Guidelines for static models of trussed rafters.” Int. Council for Research and Innovation in Building and Construction. Working Commission W18-Timber Structures, CIB W-18, 15-14-1, Karlsruhe.
Suddarth, S. K. (1972). “A computerized wood engineering system: Purdue Plane Structures Analyzer.” Research Paper FPL-168, USDA Forest Service, Forest Products Laboratory, Madison, Wis.
Suddarth, S. K., and Wolfe, R. W. (1984). “Purdue Plane Structures Analyzer II—A computerized wood engineering system.” General Technical Report FPL-40, USDA Forest Service, Forest Products Laboratory, Madison, Wis.
Vatovec, M., Miller, T. H., and Gupta, R. (1996). “Modeling of Metal-plate-connected wood truss joints.” Trans. ASAE, 39(3), 1101–1111.
Vatovec, M., Miller, T. H., Gupta, R., and Lewis, S. (1997). “Modeling of Metal-plate-connected wood truss joints: Part II—Application to overall truss model.” Trans. ASAE, 40(6), 1667–1675.

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Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 132Issue 3March 2006
Pages: 409 - 417

History

Received: Feb 2, 2004
Accepted: Jul 28, 2005
Published online: Mar 1, 2006
Published in print: Mar 2006

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Notes

Note. Associate Editor: J. Daniel Dolan

Authors

Affiliations

Peter Ellegaard
Assistant Professor, Dept. of Building Technology and Structural Engineering, Aalborg Univ., Sohngaardsholmsvej 57, 9000 Aalborg, Denmark.

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