THICK RECTANGULAR PLATES ON AN ELASTIC FOUNDATION

The refined theory for moderately thick plates presented in reference is used here for the bending of plates on elastic foundations. This theory incorporates the transverse normal strain effect in addition to the transverse shear and normal stress effects. Investigation of various types of fixity of edges involving three boundary conditions is presented. The solution of the governing equations using the Navier and Levy type semi-inverse methods is demonstrated. Results are tabulated for the deflection at the center of a uniformly loaded, simply supported rectangular plate. Applications of the theory also include an infinite plate with a line load of intensity P. Comparisons are made with the classical plate theory and the corresponding Reissner plate theory as given by Frederick. The results show the increasing influence of the transverse normal strain on the plate behavior as the parameters characterizing the influence of the plate thickness, h/a, and the modulus k are increased.

• Availability:
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• Corporate Authors:

  American Society of Civil Engineers

  345 East 47th Street
  New York, NY  United States  10017-2398
• Authors:
  • Voyiadjis, G Z
  • Kattan, P I
• Publication Date: 1986-11

Media Info

• Features: Appendices; Figures; References; Tables;
• Pagination: p. 1218-40
• Serial:
  • Journal of Engineering Mechanics
  • Volume: 112
  • Issue Number: 11
  • Publisher: American Society of Civil Engineers
  • ISSN: 0733-9399
  • EISSN: 1943-7889
  • Serial URL: http://ascelibrary.org/journal/jenmdt

Subject/Index Terms

• TRT Terms: Bending; Deflection; Elastic bodies; Equations; Foundations; Loads; Modulus; Strain (Mechanics); Structural plates
• Uncontrolled Terms: Thick plates; Transverse loading
• Old TRIS Terms: Elastic solids; Foundations (Structures); Strains
• Subject Areas: Bridges and other structures; Design; Highways; I24: Design of Bridges and Retaining Walls;

Filing Info

• Accession Number: 00459161
• Record Type: Publication
• Report/Paper Numbers: ASCE Paper 21059
• Files: TRIS
• Created Date: Oct 31 1986 12:00AM