Stress-strain state of a plate unevenly heated through its thickness

Conclusion Using the method of differential trigonometric series, distinguished by its correctness and generality and the fact that it gives exact solutions for boundary-value problems, we obtained a new solution to the problem of thermal sresses in an unevenly heated plate, as well the problem of the deformation of a freely supported plate under the influence of moments uniformly distributed over its edges. The series entering into the deflections and bending and turning moments converge, and the solution coincides with well-known solutions.Nikolaev Institute of Shipbuiding. Translated from Prikladnaya Mekhanika, Vol. 17, No. 9, pp. 69–75, September, 1981.