Postelastic Behavior of Single- and Double-Bolt Timber Connections
Publication: Journal of Structural Engineering
Volume 131, Issue 1
Abstract
A nonlinear numerical model is developed to study the behavior of single- and double-bolted timber connections with relatively low member thickness-to-fastener diameter ratios. These structural joints tend to fail in a brittle fashion. Nonlinear geometry due to increased sliding contact between the bolt and the hole is modeled using the Lagrange multiplier algorithm. A plasticity-based constitutive compressive material model is developed to predict the nonlinear wood behavior in the contact zone(s). Numerical simulations of postelastic deformations of one- and two-bolt connections are compared to experimental results from tensile tests undertaken on double shear steel to glued-laminated-timber to steel connections. The established model is capable of tracing the inelastic deformations locally and globally and predicting unequal load fractions that are transferred by each bolt in two-bolt connections. Connection capacities estimated with the new elastoplastic model are bounded by classical elastic and fully plastic model predictions. Implementation of the new model is via finite element approximation representations.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The work was carried out with financial assistance from the Natural Sciences and Engineering Research Council of Canada (NSERC), the Canadian Wood Council, and participating universities. Work reported is part of the completed NSERC Collaborative Grant Project “Failure mechanisms for structural connections in wood-fibre composites” led by Professor Ian Smith, University of New Brunswick. All new experiments were carried out at the Structure Laboratory of the Royal Military College of Canada (RMC), Kingston, Ontario according to an experimental design by the first writer and with assistance from Dr. Mohammad Mohammad from RMC (now Forintek Canada Corp., Sainte-Foy, Quebec).
References
ADINA R&D Inc. (1995). “Theory and modeling guide.” Rep. ARS 95-8, Watertown, Mass.
American Society for Testing and Materials (ASTM). (1984). “Standard methods of testing on small clear specimens of timber.” ASTM D143-83, West Conshohocken, Pa.
Bathe, K. J., and Chaudhary, A. (1985). “A solution method for planar and axisymmetric contact problems.” Int. J. Numer. Methods Eng., 21, 65–88.
Bodig, J., and Jayne, B. A. (1982). Mechanics of wood and wood composites, Van Nostrand Reinhold, New York.
Bouchair, A., and Vergne, A. (1995). “An application of the Tsai criterion as a plastic flow law for timber bolted joint modelling.” Wood Sci. Technol., 30, 3–19.
Canadian Standards Association (CSA). (2001). “Engineering design in wood.” CSA Standard 086-01, Toronto.
Chen, W. F., and Han, D. J. (1988). Plasticity for structural engineers, Springer-Verlag, New York.
Chui, Y. H. (1991). “Simultaneous evaluation of bending and shear moduli of wood and the influence of knots on these parameters.” Wood Sci. Technol., 25, 125–134.
Hill, R. (1950). The mathematical theory of plasticity, Oxford University Press, New York.
Johansen, K. W. (1949). “Theory of timber connectors.” Int. Assoc. Bridge Struct. Eng., 249–262.
Kharouf, N. (2001). “Post-elastic behavior of bolted connections in wood.” PhD thesis, Department of Civil Engineering and Applied Mechanics, McGill University, Montreal, Canada.
Kharouf, N., McClure, G., and Smith, I. (1999). “Fracture modeling of bolted connections in wood and composites.” J. Mater. Civ. Eng., 11(4), 345–352.
Kharouf, N., McClure, G., and Smith, I. (2003). “Elasto-plastic modeling of wood bolted connections.” Comput. Struct., 81(4), 747–754.
Mohammadien, A., Hassan, N. K., and Rizkalla, H. (1996). “Finite element analysis of bolted connections for PFRP composites.” Composites, Part B, 27B, 339–349.
Moses, D. (2000). “Constitutive and analytical models for structural composite lumber with application to bolted connections.” PhD thesis, University of British Columbia, Vancouver.
Patton-Mallory, M., Cramer, S. M., Smith, I. W., and Pellicane, P. J. (1997). “Nonlinear material models for analysis of bolted wood connections.” J. Struct. Eng., 123(8), 1063–1070.
Smith, I. (1983). “Coefficient of friction values applicable to contact surfaces between mild steel connectors such as bolts and dry European white wood.” J. Inst. Wood Sci., June, 229–234.
Smith, I., and Foliente, G. (2002). “Load and resistance factor design of timber joints: International practice and future direction.” J. Struct. Eng., 128(1), 48–59.
Tan, D., and Smith, I. (1999). “Failure in-the-row model for bolted timber connections.” J. Struct. Eng., 125(7), 713–718.
Vasic, S., and Smith, I. (1996). “The brittleness of wood in tension perpendicular to the grain: Micro-mechanical aspects.” Int. COST 508 Wood Mechanics Conf., Stuttgart, Germany. Office of Publications of the European Communities, Luxembourg, 556–569.
Vaziri, R., Olsen, M. D., and Anderson, D. L. (1992). “A plasticity-based constitutive model for fibre-reinforced composite laminates.” J. Compos. Mater., 25, 512–535.
Wilkinson, T. L., Rowlands, R. E., and Cook, R. D. (1981). “An incremental finite element determination of stresses around loaded holes in wood plates.” Comput. Struct., 14, 123–128.
Information & Authors
Information
Published In
Copyright
© 2004 ASCE.
History
Received: Nov 4, 2002
Accepted: Jun 9, 2004
Published online: Jan 1, 2005
Published in print: Jan 2005
Notes
Note. Associate Editor: Daniel Dolan
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.