THE LATERAL BUCKLING OF A STRAIGHT OR CURVED BEAM SUBJECTED TO PURE BENDING

Abstract

This paper presents a new analysis of the classical problem of the lateral buckling under pure bending of a curved beam with circular axis. Although a solution to this problem, and to the corresponding straight beam problem is well-accepted in the literature, the present analysis gives buckling moments which are significantly different than the usually accepted results. The difference arises from an application of new boundary conditions that are shown to be the only boundary conditions consistent with the equilibrium of the buckled beam under a pure bending moment. This new analysis provides generally higher bending moments. A short experimental program was performed, and the results tend to confirm the new analysis.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1968
Accession Number
AD0673974

Entities

People

  • F. E. Vanslager

Organizations

  • University of California, San Diego

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Bending Moments
  • Boundaries
  • Buckling
  • California
  • Curvature
  • Differential Equations
  • Displacement
  • Eigenvalues
  • Eigenvectors
  • Energy
  • Equations
  • Geometric Forms
  • Geometry
  • Lines (Geometry)
  • Military Research
  • Potential Energy
  • Shape

Fields of Study

  • Engineering

Readers

  • Structural Dynamics.
  • Theoretical Analysis.