Muschelišvili’s complex variable method in two-dimensional elasticity has been extended by the present author to solve a few gravitational stress problems. A further problem of a heavy circular ring resting on a concentrated support is solved by the same method in the present paper. The two analytic functions which constitute the solution of the problem are determined. A numerical example is given for a ring the radii of which are in the ratio of 1 to 2.

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