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T = Ta log(£/r)/log(£/#), where b is the outer radius of the disc and a is the radius of the hot spot which is at a uniform temperature Ta above the edge of the disc. Both papers contain results for various special cases. 3. A Solid Circular Disc with an Asymmetrical Temperature Distribution For this plane stress problem in a circular disc, Horvay (72) and Forray (39) assume that the quantity EaT in eqn. 24) may be written in the form of the series oo — Po(r) — ]T [/>„(,) cos ηθ + Q„(r) sin ηθ] where n= l Pn(r) and Qn(r) are assumed to be known.

T = (z/d) T^x yy T h e above two categories will be examined separately in the following two chapters—Chapters 3 and 4. W h e n the normal deflexions of the plate are not small compared with the plate thickness there is a coupling between membrane and bending actions of the plate and to solve such problems a large deflexion theory is required. This theory will be presented also, for convenience, in Chapter 4 but since its application is more usual in post-buckling analyses discussion on this topic will be left until Chapter 7 which deals with T h e r m a l Buckling.

5) is difficult to obtain, b u t by invoking Saint-Venant's principle a realistic but approximate solution is found for bodies whose length is much greater than their cross-sectional dimensions, This principle, which enables modifications to be m a d e to the boundary conditions of a given problem, states that, if the forces acting on a small portion of the surface of an elastic body are replaced by another statically equivalent set, only the local stress distribution is significantly altered ; at other more distant points in the body the resultant error is negligible.