Analytical Solutions to General Orthotropic Plates under Patch Loading
Publication: Journal of Engineering Mechanics
Volume 137, Issue 7
Abstract
Orthotropic plates are widely used in bridge deck systems. However, these are not commonly treated as such within design specifications, and semianalytical solutions are not presently available for all deck types. This paper develops deflection equations for infinitely wide and simply supported thin plates considering each of the three cases of orthotropy: (1) relatively torsionally stiff, flexurally soft; (2) uniformly thick plate; and (3) torsionally soft, flexurally stiff; subjected to arbitrary patch loading. These are common boundary and loading conditions encountered for bridge deck applications. The reported analytical solutions enable rapid evaluation of multiple moving patch loads to determine maximum design load effects and permit validation of numerical and finite-element methods. Application of the solutions will produce guidelines that can prescribe design demands and establish practical design simplifications for treatment of different bridge deck and slab systems in a uniform and consistent manner.
Get full access to this article
View all available purchase options and get full access to this article.
References
AASHTO-LRFD. (2004). LRFD bridge design specifications, 3rd Ed., Washington, DC.
Baker, T. H. (1991). “Plate stiffness constants for concrete filled steel grid decks: Static and fatigue strength determination of design properties for grid decks.” Vol. 1, Research Rep. ST-9, Dept of Civil Engineering, Univ. of Pittsburgh, Pittsburgh.
Gangarao, H. V. S., Raju, P. R., and Koppula, N. R. (1992). “Behavior of concrete-filled steel grid decks.” Transportation Research Record, 1371, Transportation Research Board, Washington, D.C., 1–7.
Higgins, C. (2003). “LRFD orthotropic plate model for live load moment in filled grid decks.” J. Bridge Eng., 8(1), 20–28.
Higgins, C. (2004). “Orthotropic plate model for estimating deflections in filled grid decks.” J. Bridge Eng., 9(6), 599–605.
Huang, H., Chajes, M. J., Mertz, D. R., Shenton, H. W., and Kaliakin, V. N. (2002). “Behavior of open steel grid decks for bridges.” J. Constr. Steel Res., 58(5–8), 819–842.
Huang, H., Kaliakin, V. N., Chajes, M. J., Mertz, D. R., and Shenton, H. W. (2007). “Application of orthotropic thin plate theory to filled steel grid decks for bridges.” J. Bridge Eng., 12(6), 807–810.
Mangelsdorf, C. P., Baker, T. H., and Swanson, J. A. (2002). “Predicting deflections in concrete-filled grid deck panels.” Transportation Research Record 1814, Transportation Research Board, Washington, DC, 17–24.
Selvadurai, A. P. S. (2000). Partial differential equations in mechanics 2: The biharmonic equation Poisson’s equation, Springer-Verlag, New York.
Szilard, R. (1974). Theory and analysis of plates: classical and numerical methods, Prentice Hall, Upper Saddle River, NJ.
Timoshenko, S., and Woinowski-Krieger, S. (1959). Theory of plates and shells, McGraw-Hill, New York.
Information & Authors
Information
Published In
Copyright
© 2011 American Society of Civil Engineers.
History
Received: Aug 13, 2009
Accepted: Jan 11, 2011
Published online: Jan 13, 2011
Published in print: Jul 1, 2011
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.