Nonsway Model for Lateral Torsional Buckling of Wooden Beams under Wind Uplift
Publication: Journal of Engineering Mechanics
Volume 142, Issue 12
Abstract
Simply supported wooden beams nailed to deck boards subjected to wind uplift forces are subjected to compressive stresses at their bottom fibers. Because the restraining action provided by decking is at the top fibers, it is unclear to what extent such restraints are effective in controlling lateral torsional buckling as a possible mode of failure under wind uplift. Present design standards do not have provisions for such cases. Thus, the present study aims to quantify the effect of restraints provided by the deck boards on the lateral torsional buckling capacity of twin-beam-deck systems under wind uplift. Toward this goal, a series of analytical and numerical models were formulated. All models capture the continuous rigid lateral restraint and partial twisting restraint provided by the deck boards. The effects of load type and load position were investigated. The bending stiffness of deck boards was observed to have a significant influence on the lateral torsional buckling capacity of twin-beam-deck systems.
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Acknowledgments
The authors gratefully acknowledge funding from the Natural Sciences and Engineering Research Council (NSERC) of Canada to the second and third authors.
References
Abaqus 6.12-3 [Computer software]. Dassault Systèmes, Providence, RI.
AFPA (American Forest and Paper Association). (2003). “Technical report 14: Designing for lateral torsional stability in wood members.” Washington, DC.
Apparao, T. V. S. R. (1968). “Problems in structural diaphragm bracing.”, Dept. of Structural Engineering, Cornell Univ., Ithaca, NY.
Basaglia, C., Camotim, D., Gonçalves, R., and Graça, A. (2013). “GBT-based assessment of the buckling behavior of cold-formed steel purlins restrained by sheeting.” Thin-Walled Struct., 72, 217–229.
Bell, K., and Eggen, T. E. (2001). “Stability of timber beams and columns.” IABSE Symp. Report, Int. Association for Bridge and Structural Engineering, Vol. 85, Zurich, Switzerland, 30–36.
Buchanan, A. (1986). “Combined bending and axial loading in lumber.” J. Struct. Eng., 2592–2609.
Burow, J. R., Manbeck, H. B., and Janowiak, J. J. (2005). “Lateral stability considerations for composite wood I-joists.” 2005 ASAE Annual Meeting, American Society of Agricultural and Biological Engineers, St. Joseph, MI.
Burow, J. R., Manbeck, H. B., and Janowiak, J. J. (2006). “Lateral stability of composite wood I-joists under concentrated-load bending.” Trans. ASABE, 49(6), 1867–1880.
Chu, X., Kettle, R., and Li, L. (2004). “Lateral-torsion buckling analysis of partial-laterally restrained thin-walled channel-section beams.” J. Constr. Steel Res., 60(8), 1159–1175.
Chu, X., Rickard, J., and Li, L. (2005). “Influence of lateral restraint on lateral-torsional buckling of cold-formed steel purlins.” Thin-Walled Struct., 43(5), 800–810.
CSA (Canadian Standard Association). (2014). “Engineering design in wood.” O86-14, Mississauga, ON, Canada.
Du, Y. (2016). “Lateral torsional buckling of wooden beam-deck systems.” M.A.Sc. thesis, Dept. of Civil Engineering, Univ. of Ottawa, Ottawa.
Errera, S. J., Pincus, G., and Fisher, G. P. (1967). “Columns and beams braced by diaphragms.” J. Struct. Div., 93(1), 295–318.
FPL (Forest Products Laboratory). (2010). Wood handbook-wood as an engineering material, Madison, WI.
Hindman, D. P., Harvey, H. B., and Janowiak, J. J. (2005a). “Measurement and prediction of lateral torsional buckling loads of composite wood materials: I-joist sections.” For. Prod. J., 55(10), 43–48.
Hindman, D. P., Harvey, H. B., and Janowiak, J. J. (2005b). “Measurement and prediction of lateral torsional buckling loads of composite wood materials: Rectangular section.” For. Prod. J., 55(9), 42–47.
Hooley, R. F., and Madsen, B., (1964). “Lateral buckling of glued laminated beams.” J. Struct. Div., 90(ST3), 201–218.
Jenkinson, P. M., and Zahn, J. J. (1972). “Lateral stability of beam and deck structure.” J. Struct. Div., 98(3), 599–609.
Koka, E. N. (1987). “Laterally loaded wood compression members: Finite element and reliability analysis.” M.A.Sc. thesis, Univ. of British Columbia, Vancouver, Canada.
Larue, B., Khelil, A., and Gueury, M. (2007). “Elastic flexural-torsional buckling of steel beams with rigid and continuous lateral restraints.” J. Constr. Steel Res., 63(5), 692–708.
Li, L. (2004). “Lateral-torsional buckling of cold-formed zed-purlins partial-laterally restrained by metal sheeting.” Thin-Walled Struct., 42(7), 995–1011.
Lucas, R., Al-Bermani, F., and Kitipomchai, S. (1997a). “Modelling of cold-formed purlin-sheeting systems—Part 1: Full model.” Thin-Walled Struct., 27(3), 223–243.
Lucas, R., Al-Bermani, F., and Kitipornchai, S. (1997b). “Modelling of cold-formed purlin-sheeting systems—Part 2: Simplified model.” Thin-Walled Struct., 27(4), 263–286.
NFPA (National Forest Products Association). (2015). “National design specification for wood construction.” Washington, DC.
Park, J., and Kang, Y. (2003). “Lateral buckling of beams with top bracing.” Struct. Eng. Mech., 16(5), 613–625.
Park, J. S., Stallings, J. M., and Kang, Y. J. (2004). “Lateral-torsional buckling of prismatic beams with continuous top-flange bracing.” J. Constr. Steel Res., 60(2), 147–160.
Peköz, T., and Soroushian, P. (1982). “Behavior of C- and Z-purlins under wind uplift.” Proc., 6th Int. Specialty Conf. on Cold-Formed Steel Structures, Center for Cold-Formed Steel Structures Library, MO, 409–429.
Pincus, G., and Fisher, G. P. (1966). “Behavior of diaphragm-braced columns and beams.” J. Struct. Div., 92(2), 323–370.
Roeder, C. W., and Assadi, M. (1982). “Lateral stability of I-beams with partial support.” J. Struct. Div., 108(8), 1768–1780.
Song, X., and Lam, F. (2006). “Three dimensional stability analysis of wood beam-columns.” Proc., 9th World Conf. on Timer Engineering (WCTE), Cookeville, TN, 1061–1067.
Song, X. B., and Lam, F. (2009). “Stability analysis of laterally braced wood beam-columns subjected to biaxial eccentric loading.” Comput. Struct., 87(17), 1058–1066.
Song, X. B., and Lam, F. (2010). “Stability capacity and lateral bracing requirements of wood beam-columns.” J. Struct. Eng., 211–218.
Steiger, R., and Fontana, M. (2005). “Bending moment and axial force interacting on solid timber beams.” Mater. Struct., 38(5), 507–513.
Taylor, A. C., and Ojalvo, M. (1966). “Torsional restraint of lateral buckling.” J. Struct. Div., 92(2), 115–130.
Timoshenko, S., and Gere, J. (1961). Theory of elastic stability, 2nd Ed., McGraw-Hill, New York.
Trahair, N. S. (1979). “Elastic lateral buckling of continuously restrained beam columns.” The profession of a civil engineer, D. Campbell-Allen and E. H. Davis, eds., Sydney University Press, Sydney, Australia, 61–73.
Trahair, N. S. (1993). Flexural-torsional buckling of structures, E & FN Spon, London.
Vlasov, V. Z. (1961). Thin-walled elastic beams. 2nd. Ed., Israel Program for Scientific Translations, Jerusalem.
Winter, G. (1960). “Lateral bracing of columns and beams.” Trans. Am. Soc. Civ. Eng., 125(1), 809–825.
Xiao, Q. (2014). “Lateral torsional buckling of wood beams.” M.A.Sc. thesis, Dept. of Civil Engineering, Univ. of Ottawa, Ottawa.
Ye, Z., Kettle, R. J., Li, L., and Schafer, B. W. (2002). “Buckling behavior of cold-formed zed-purlins partially restrained by steel sheeting.” Thin-Walled Struct., 40(10), 853–864.
Zahn, J. (1965). “Lateral stability of deep beams with shear-beam support.” Forest Products Laboratory, Madison, WI.
Zahn, J. (1972). “Shear stiffness of two-inch wood decks for roof systems.” Forest Products Laboratory, Madison, WI.
Zahn, J. (1973). “Lateral stability of wood beam-and-deck systems.” J. Struct. Div., 99(7), 1391–1408.
Zahn, J. (1984). “Bracing requirements for lateral stability.” J. Struct. Eng., 1786–1802.
Zahn, J. (1986). “Design of wood members under combined load.” J. Struct. Eng., 2109–2126.
Zahn, J. (1988). “Combined-load stability criterion for wood beam-columns.” J. Struct. Eng., 2612–2628.
Zahn, J. (1992). “Re-examination of Ylinen and other column equations.” J. Struct. Eng., 2716–2728.
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Information
Published In
Journal of Engineering Mechanics
Volume 142 • Issue 12 • December 2016
Copyright
© 2016 American Society of Civil Engineers.
History
Received: Oct 26, 2015
Accepted: Aug 5, 2016
Published online: Sep 28, 2016
Published in print: Dec 1, 2016
Discussion open until: Feb 28, 2017
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