On Lateral Buckling of End-Loaded Cantilever Beams.

Abstract

The classical problem of lateral buckling of cantilever beams with transverse end-load is re-examined, as an example of a problem fully governed by the intrinsic equations of Kirchhoff's curved beam theory. It is shown that a suitable non-dimensionalization of the differential equations of the problem leads to a straightforward perturbation solution, with leading and second-order terms of the expansion having well-defined differences in physical significance. The equations of a recent extension of Kirchhoff's theory, which take account of transverse shear deformation, are used for the purpose of obtaining a numerical result for the influence of shear deformability on the lateral buckling load. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1978
Accession Number
ADA058856

Entities

People

  • E. Reissner

Organizations

  • University of California, San Diego

Tags

Communities of Interest

  • C4I
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Applied Mechanics
  • Bending Moments
  • Boundaries
  • Buckling
  • California
  • Cantilever Beams
  • Constitutive Equations
  • Differential Equations
  • Engineering
  • Equations
  • Mechanics
  • Military Research
  • Perturbations
  • Power Series
  • Structural Mechanics
  • Transverse

Readers

  • Structural Dynamics.
  • Theoretical Analysis.