AN INVESTIGATION OF SAINT-VENANT'S PRINCIPLE IN THE SEMI-INFINITE STRIP.

Abstract

A generalized Fourier expansion is employed to obtain a numerical interpretation of Saint-Venant's principle. The investigation is made for stress and displacement boundary conditions on an end-loaded semi-infinite elastic strip with a Poisson ratio of 1/3. Continuous and concentrated loads in both symmetric and antisymmetric configurations are considered. Saint-Venant's 'sufficiently far' distances are obtained for six specific cases and trends are noted. No attempt is made to study in detail the convergence of the series expansion. A comparison is made between the exact solution and the elementary beam theory solution of the deflection of a fixed-end beam in flexure. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1968
Accession Number
AD0671999

Entities

People

  • Samuel C. W. Ng

Organizations

  • Air Force Institute of Technology

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Convergence
  • Deflection
  • Displacement
  • Mathematical Analysis
  • Mathematics
  • Mechanical Properties
  • Physical Properties
  • Poisson Ratio

Fields of Study

  • Engineering
  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Structural Dynamics.