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A discussion meeting will be held on Thursday 9 January 1964 at the Institution, when the above subject will be under review.
Mr. A. Jennings, Lecturer in the Civil Engineering Department of the University of Manchester, writes: ‘The standard methods of solution of linear redundant structures are all formulated in terms either of the unknown forces or of the unknown displacements and use the flexibility or stiffness properties of the structure to effect a solution. The method of solution of free cable problems advocated in this paper is peculiar in that it does not formulate the analysis directly in terms of either the unknown displacements or the unknown forces, and no concept of stiffness or flexibility is introduced.
The method of complex potentials is applied to determine the internal forces in a stretched isotropic, circular ring-shaped plate subjected to tangential forces ôrè = -A sin è at its inner boundary and to an isolated point force at its outer boundary. Because of the double singularities (concentrated force and non-vanishing resultant on each boundary) the problem is solved by the sum of a closed expression and of a complex Fourier series. A numerical example is presented for the calculation of ó è at each boundary.
S. SARKADI SZABO