THERMAL STRESSES DUE TO LARGE SPANWISE AND CHORDWISE TEMPERATURE GRADIENTS IN LONG THIN PLATES.
Final technical rept., 1 Sep 62-1 Aug 63,
OHIO STATE UNIV RESEARCH FOUNDATION COLUMBUS
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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