ON STRETCHING, TWISTING, PURE BENDING AND FLEXURE OF PRETWISTED ELASTIC PLATES

Previously derived results for the mentioned canonical load cases for pretwisted rectangular plates (or shallow helicoidal shells) of rectangular cross section are generalized so as to include arbitrarily prescribed cross wise thickness variations. The present method of derivation is simpler than the earlier one in terms of Marguerre's equations for transverse deflection and Airy stress function, and consists in applying a semi-inverse solution procedure to the system of equilibrium and compatibility equations of shallow shell theory. A particular case of the results of this paper concerns the problem of pure bending of a pretwisted plate with elliptical thickness variation. The results for this case coincide with recent results obtained by Goodier and Griffin through use of three-dimensional elasticity theory. (Author)

• Supplemental Notes:
  • Prepared in cooperation with Massachusetts Institute of Technology, Cambridge, Department of Mathematics. Summary in Russian.
• Corporate Authors:

  University of California, La Jolla

  Department of Aerospace and Mechanical Engineering Sciences
  San Diego, CA  United States 
• Authors:
  • Reissner, E
  • Wan, FYM
• Publication Date: 1970-7-20

Media Info

• Pagination: 14 p.

Subject/Index Terms

• TRT Terms: Bending; Bending stress; Deflection; Elasticity (Mechanics); Plates (Engineering); Shells (Structural forms); Stresses
• Old TRIS Terms: Plate deflections; Shell theory
• Subject Areas: Marine Transportation; Materials;

Filing Info

• Accession Number: 00024773
• Record Type: Publication
• Source Agency: National Technical Information Service
• Contract Numbers: N00014-69-A-0200 602
• Files: TRIS
• Created Date: Jan 14 1973 12:00AM