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. Elastic distortion of a cylindrical hole by localized hydrostatic pressure has been discussed by H. M. Westergaard1 and C. J. Tranter.2 In this paper a few problems of elastic distortion of a cylindrical hole by tangential traction on its inner boundary are discussed. The first case considered is concerned with the problem of an infinite elastic plate having finite thickness with a cylindrical hole acted on by localized tangential traction on the inner boundary, the two faces of the plate being free. In the second case one face of the plate is supposed to be fixed and the other free, while the hole is acted on by uniform tangential traction throughout. In the last case a localized tangential traction is supposed to act over a narrow band on the inner boundary of an infinitely long cylindrical hole in an infinite elastic solid. The solutions in the first two cases are obtained in terms of infinite series while in the last case it is expressed as an infinite integral. 1. Method of solution. We take the axis of the cylindrical hole as the axis of z. Using cylindrical co-ordinates and assuming u = w = 0 and v to be independent of 6, we have f)v e = 0, 2 wr = dz (i.i)

Note on the elastic distortion of a cylindrical hole by tangential tractions on the inner boundary