ANALYSIS OF PLATES CONTINUOUS OVER FLEXIBLE BEAMS

Abstract

Approximate numerical solutions were obtained by the Ritz method for the interior panel of a plate which is continuous over a rectangular grid of flexible beams supported by columns at their intersections. Parallel beams were assumed to be of equal stiffness and uniformly spaced. The plate was considered to be acted upon by a lateral load uniformly distributed over the whole area. The plate deflection was represented by an infinite series of polynomial functions (S-functions) derived by W.J. Duncan (Aeronaut. Research Council, R. and M. 2281:23, 1950) for beams clamped at both ends. Numerical solutions were obtained for about 40 cases covering 3 different width-length ratios and a wide range of beam-plate rigidities. A tabulated summary and graphs of the solutions are included. The solutions include, as limiting cases, the known results for plates fixed against rotation and deflection at their supports, and for plates supported by a rectangular array of columns without connecting beams.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1953
Accession Number
AD0006032

Entities

People

  • J. G. Sutherland
  • L. E. Goodman
  • N. M. Newmark

Organizations

  • University of Illinois Urbana–Champaign

Tags

DTIC Thesaurus Topics

  • Coverings
  • Deflection
  • Infinite Series
  • Mathematics
  • Mechanical Properties
  • Physical Properties
  • Polynomials
  • Rigidity
  • Rotation
  • Stiffness

Readers

  • Structural Dynamics.

Technology Areas

  • Space