Exact and Approximate Solutions to the Pressure-Loaded Plate Strip with Temperature Distribution

Author: Lindquist, David Max Wadsworth

Year: 1960

Degree: Engineer's thesis

Advisor: Williams, Max L.

Committee Member: Unknown, Unknown

Option: Aeronautics

DOI: 10.7907/G7PZ-8898

Abstract

The large deflection analysis for a plate strip under uniform pressure and temperature loading is extended to include spanwise variation of temperature. An exact temperature distribution is derived and stress and deflection equations are developed for the fundamental mode thereof. A parabolic approximation to the fundamental mode is shown to be reasonably accurate. Using this approximation, a direct analogy to the case of uniform temperature distribution can be demonstrated in terms of "effective" pressure, temperature moment, and average temperature. The equilibrium equations are formally identical, permitting the use of design charts based on spanwise constant loadings.

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