Effect of Transverse Shear on Edge Stresses in Rigid Pavements
Publication: Journal of Transportation Engineering
Volume 125, Issue 2
Abstract
The classical Westergaard idealization of the rigid pavement system assumes that the slab-on-grade can be modeled as a thin elastic plate on a bed of springs. Implicit in this assumption is the Kirchhoff (or thin) plate theory, which ignores transverse shear stresses. This same assumption has been carried over into the development of a number of two-dimensional finite-element models developed for rigid pavements. In this paper, modern isoparametric two-dimensional and three-dimensional finite-element formulations are employed to show that the Kirchhoff assumptions are not strictly valid for the edge loading case in rigid pavements. For slabs where the span-to-depth ratio is less than 100, classical Kirchhoff assumptions, adopted by Westergaard, lead to errors in predicting edge stresses. The maximum edge stress is, in fact, less than that predicted by Westergaard. Furthermore, the maximum edge stress does not occur at the edge of the slab, but at some finite distance from the edge. For most practical rigid pavement systems, the maximum edge stress will occur at a finite distance away from the edge of the slab and will be approximately 10% less than that predicted by the Westergaard theory.
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References
1.
Ahlvin, R. G. ( 1991). “Origin of developments for the structural design of pavements.” Tech. Rep. GL-91-26, U.S. Army Engineers Waterways Experiment Station, Vicksburg, Miss.
2.
Corps of Engineers. ( 1954). “A model study of the effect of high contact pressures on stresses in rigid pavements.” Ohio River Division Laboratories, Mariemont, Ohio.
3.
Fagan, M. J. ( 1992). Finite element analysis. Longman Scientific and Technical, Essex, U.K.
4.
Huang, Y. H. ( 1993). Rigid pavement analysis and design. Prentice-Hall, Englewood Cliffs, N.J.
5.
Hutchinson, R. L. ( 1966). “Basis for rigid pavement design for military airfields.” Miscellaneous Paper No. 5-7, Ohio River Division Laboratories, Cincinnati.
6.
Ioannides, A. M. ( 1984). “Analysis of slabs-on-grade for a variety of loading and support conditions,” PhD dissertation, University of Illinois, Urbana.
7.
Ioannides, A. M., and Hammons, M. I. ( 1996). “A Westergaard-type solution for the load transfer problem.” Transp. Res. Rec. 1525, Transportation Research Board, Washington, D.C., 28–34.
8.
Ioannides, A. M., and Korovesis, G. T. (1992). “Analysis and design of doweled slab-on-grade pavement systems.”J. Transp. Engrg., ASCE, 118(6), 745–768.
9.
Khazanovich, L., and Ioannides, A. M. ( 1993). “Finite element analysis of slabs-on-grade using higher order subgrade models.” Airport pavements innovations: Theory to practice. ASCE, Reston, Va.
10.
Korovesis, G. T. ( 1990). “Analysis of slab-on-grade pavement systems subjected to wheel and temperature loadings,” PhD dissertation, University of Illinois, Urbana.
11.
Rollings, R. W., and Pittman, D. W. (1992). “Field instrumentation and performance monitoring of rigid pavements.”J. Transp. Engrg., ASCE, 118(3), 361–370.
12.
Sale, J. P. ( 1977). “Rigid pavement design for airfields.” Proc., 1st Int. Conf. on Concrete Pavement Des., Purdue University, West Lafayette, Ind., 3–18.
13.
Sale, J. P., and Hutchinson, R. L. (1959). “Development of rigid pavement design criteria for military airfields.”J. Air Transport Div., 85, 085(AT3), 129–151.
14.
Schnobrich, W. C. ( 1990). “Structural analysis—Part 2. Continua: The finite element method.” Structural engineering handbook, 3rd Ed., E. H. Gaylord Jr. and C. N. Gaylord, eds., McGraw-Hill, New York.
15.
Tabatabaie, A. M. ( 1978). “Structural analysis of concrete pavement joints,” PhD dissertation, University of Illinois, Urbana.
16.
Tayabji, S. D., and Colley, B. E. ( 1984). “Analysis of jointed concrete pavements.” Rep. No. FHWA/RD-86/041, Federal Highway Administration, Washington, D.C.
17.
Timoshenko, S., and Woinowsky-Krieger, S. ( 1959). Theory of plates and shells. McGraw-Hill, New York.
18.
Westergaard, H. M. ( 1923). “Om beregning af plader paa elastisk underlag med særligt henblik pass ppørgsmaalet om spændinger i betonveje.” Ingeniøren, 42, 513–524 (in Danish).
19.
Westergaard, H. M. ( 1926). “Stresses in concrete pavements computed by theoretical analysis.” Public Roads, 7(2), 25–35.
20.
Westergaard, H. M. ( 1928). “Spacing of dowels.” Proc., Hwy. Res. Board, Highway Research Board, Washington, D.C., 8, 154–158.
21.
Westergaard, H. M. ( 1933). “Analytical tools for judging results of structural tests of concrete pavements.” Public Roads, 14(10), 129–151.
22.
Westergaard, H. M. ( 1939). “Stresses in concrete runways of airports.” Proc., Hwy. Res. Board, Highway Research Board, National Research Council, Washington, D.C., 19, 197–205.
23.
Westergaard, H. M. ( 1948). “New formulas for stresses in concrete pavements of airfields.” Trans., ASCE, Reston, Va., 113, 425–444.
24.
Zienkiewicz, O. C., and Cheung, Y. K. ( 1967). The finite element method of structural and continuum mechanics. McGraw-Hill, London.
Information & Authors
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Published In
Journal of Transportation Engineering
Volume 125 • Issue 2 • March 1999
Pages: 93 - 100
History
Received: May 5, 1997
Published online: Mar 1, 1999
Published in print: Mar 1999
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