A HYBRID METHOD FOR ANALYSIS OF NON-SIMPLY SUPPORTED THICK RECTANGULAR PLATES

This paper presents a solution to the problem of rectangular thick plates with two simply supported opposite edges and two edges under various conditions. The solution proposed is in two parts: (1) solution derived from the generalized Galerkin vector and Boussinecq's function in three-dimensional elasticity to determine accurately distribution of stresses and displacements for all simply supported plates, and (2) complementary solution derived from the extended Reissner's theory to meet the prescribed boundary conditions. Double series solutions consisting of trigonometric and hyperbolic functions for the above mentioned plates subjected to partially distributed and normal and tangential loads are presented. The numerical results obtained with such solutions are compared to those obtained by the thin plate theory for various loadings, boundary conditions and thickness side ratios. (TRRL)

• Corporate Authors:

  Osaka City University

  3-138 Sugimoto 3-Chome, Sumiyoshiku
  Osaka,   Japan 
• Authors:
  • Horikawa, T
  • Sonoda, K
  • Kurata, M
• Publication Date: 1982-12

Media Info

• Features: Figures; References; Tables;
• Pagination: p. 109-122
• Serial:
  • Memoirs of the Faculty of Engineering
  • Volume: 23
  • Publisher: Kyushu Univ, Research Inst for Appl Mech

Subject/Index Terms

• TRT Terms: Boundary value problems; Deflection; Deformation curve; Dislocation (Geology); Elasticity (Mechanics); Loads; Mathematical analysis; Mathematical models; Methodology; Motion; Rectangles; Slabs; Stresses; Structural analysis; Structural plates
• Uncontrolled Terms: Boundary conditions; Thick plates
• ITRD Terms: 6471: Analysis (math); 5586: Deflection; 5912: Elasticity; 5567: Load; 6473: Mathematical model; 9102: Method; 5483: Movement; 3491: Slab; 5575: Stress (in material); 9080: Three dimensional
• Subject Areas: Bridges and other structures; Design; Highways; I24: Design of Bridges and Retaining Walls;

Filing Info

• Accession Number: 00379791
• Record Type: Publication
• Source Agency: Transport Research Laboratory
• Files: ITRD, TRIS
• Created Date: Feb 29 1984 12:00AM