University of Illinois Urbana-Champaign

Theoretical and experimental analysis of creep of curved beams loaded in pure bending

Hagglund, R.R.; Sidebottom, O.M.

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https://hdl.handle.net/2142/111924

Description

Title
Theoretical and experimental analysis of creep of curved beams loaded in pure bending
Author(s)
  • Hagglund, R.R.
  • Sidebottom, O.M.
Issue Date
1962-01
Keyword(s)
  • Creep
  • Beams
  • Bending
Abstract
This investigation presents a theoretical and an experimental analysis of the creep of rectangular- and T- cross section curved beams in pure bending. Two theories are developed in order to include and exclude radial stress effects. The theories are based on infinitesimal deformation theory and use the total strain theory, incompressibility and assume that plane sections remain plane during creep. It is also assumed that stresses at a point are independent of time. The stress-strain-time relation is assumed to be represented by an isochronous stress-strain diagram which is approximated by an arc hyperbolic sine function. The theories allow the determination of tangential and radial stresses in addition to the radial displacement of a circular line element. Experimental data were obtained for high density polyethylene rectangular curved beams having Rc/c ratios of 1. 53, 2. 45, 3. 22 and 4. 43. The T-sections had Rc/c ratios of 2. 34 and 2.47. A load history was applied. The theories and experiments were in agreement within ±10 percent.
Publisher
Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report Name or Number
  • TAM R 209
  • 1967-0505
ISSN
0073-5264
Type of Resource
text
Language
eng
Permalink
http://hdl.handle.net/2142/111924
Copyright and License Information
Copyright 1962 Board of Trustees of the University of Illinois

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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.