Bending of Rectangular Plates with Large Deflection

Abstract

Von Karman's equations for thin plates with large deflections are solved for the special cases of rectangular plates having ratios of length to width of 1.5 and 2 and loaded by uniform normal pressure. The boundary conditions are such as to approximate panels with riveted edges under normal pressure greater than that of the surrounding panels. Center deflections, membrane stresses, and extreme-fiber bending stresses are given as functions of the pressure for center deflections up to twice the thickness of the plate. For small deflections the results are consistent with those given by Timoshenko.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1948
Accession Number
ADA800850

Entities

People

  • Chi-teh Wang

Organizations

  • Brown University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Aeronautics
  • Aluminum Alloys
  • Bending Stress
  • Boundaries
  • Boundary Value Problems
  • Deflection
  • Difference Equations
  • Differential Equations
  • Equations
  • Mathematics
  • Membranes
  • Modulus Of Elasticity
  • Stresses
  • Thickness

Fields of Study

  • Physics

Readers

  • Structural Dynamics.