An integrodifferential equation that defines the behavior of the shear stress in a thermally loaded, thin, flat plate of finite dimensions is derived. The equation is reduced to a system of linear algebraic equations by a method that employs polynomial approximations for the shear stresses. The boundary conditions are satisfied identically. Several examples of the method, presented in detail, show that solutions of high accuracy can be produced on a desk calcu¬lator with a minimum of labor. A calculation of the displacements shows that the strain compatibility conditions are closely satisfied everywhere.
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