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This paper presents a Fourier integral solution for the plane-stress problem of a curved bar bounded by two concentric circles and loaded by any combination of radial loads on the circular boundaries. It is an extension of an earlier investigation (1) which dealt with only the particular case of a curved bar in equilibrium under the action of two equal and opposite radial forces, one on each boundary. Numerical results are given for one of two basic cases from which the stresses for any combination of concentrated radial loads may be obtained by superposition. An example is included to show how superposition may be used to obtain the stresses for a loading condition which may occur frequently in practical machine-design problems. It is believed that the procedures developed in this paper will be useful in the solution of other elasticity problems by the Fourier integral method.

The Fourier integral method is applied to plane-stress problems of a curved bar bounded by two concentric circles and loaded by concentrated tangential boundary loads. The solutions presented may be combined with results given in previous papers (1, 2) dealing with radial boundary loads so as to obtain the stresses in a curved bar loaded by any combination of concentrated boundary loads inclined at any angle to the radial direction.