THERMAL STRESSES DUE TO LARGE SPANWISE AND CHORDWISE TEMPERATURE GRADIENTS IN LONG THIN PLATES.

Abstract

The results of a theoretical and experimental investigation of the thermal strains and stresses produced in unrestrained long thin rectangular plates by two-dimensional temperature gradients are reported. The temperature distributions in vestigated are steady-state and the stresses are calculated by solving the two-dimensional planestress equations of elasticity theory. Two temperature variations were investigated, one in which the temperature changed about 200 F in an 8-inch distance along the span and 200 F in 4.5 inches along the chord direction; and one in which the temperature changed about 75 F in about a 2-inch distance along the span and 75 F in 4.5 inches along the chord direction. It was found that for these relatively large temperature gradients the solutions for the stresses presented in the literature were either not applicable or impractical. By modifying one of the available solutions, converting it into a Fourier integral and performing the integration by means of the theory of residues, it was possible to calculate the stresses for a specified temperature distribution with large gradients without difficulty. The calculated thermal strains compare quite well with the experimental results obtained with the smaller spanwise gradient. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1963
Accession Number
AD0431184

Entities

People

  • A. R. Glaser
  • B. E. Gatewood
  • R. G. Dale

Organizations

  • Ohio State University

Tags

DTIC Thesaurus Topics

  • Elastic Properties
  • Equations
  • Integrals
  • Isotherms
  • Literature
  • Mathematics
  • Mechanics
  • Steady State
  • Stresses
  • Temperature Gradients
  • Thermal Stresses
  • Two Dimensional

Readers

  • Fluid Dynamics.
  • Fluid Mechanics and Fluid Dynamics.
  • Thermal Physics or Thermal Science.