University of Illinois Urbana-Champaign

Large deflections of structures with small eleastic strains

Im, Seyoung; Shield, Richard T.

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https://hdl.handle.net/2142/112214

Description

Title
Large deflections of structures with small eleastic strains
Author(s)
  • Im, Seyoung
  • Shield, Richard T.
Issue Date
1985-10
Keyword(s)
  • Small Strain
  • Linear Eleastic Behavior
  • Rod Theory
Abstract
A consistent theory for linear elastic behavior in which the strains are small but the displacements and rotations can be large is applied to the bending of a beam by end loads and by its own weight, and to the bending of a long rectangular plate and of a circular plate by uniform pressure. The theory provides solutions for geometries between those for which the infinitesimal theory applies and those for which structural theories, such as Kirchhoff's theory for rods and the von Karman equations for plates, can he used. The results confirm the validity of Kirchhoff's rod theory within the range of small-strain, linear elastic behavior. For the plate problems considered, the von Karman equations are found to provide accurate results for thin plates for which deflections are not small.
Publisher
Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report Name or Number
  • TAM R 474
  • 1985-6005
ISSN
0073-5264
Type of Resource
text
Language
eng
Permalink
http://hdl.handle.net/2142/112214
Copyright and License Information
Copyright 1985 Board of Trustees of the University of Illinois

Owning Collections

Technical Reports - Theoretical and Applied Mechanics (TAM) PRIMARY
TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.