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I N March, 1899, the writer came upon an unsatisfactory treatment of this problem in reading a well-known treatise upon Elasticity and the Strength of Materials.. The unsatisfactory character of the treatment was due, in part, to unavoidable brevity and in part to what seemed to be erroneous statements concerning the relation of the formulas of Lame, of Clavarino, and of Birnie, which formulas have been used in the designing of guns. The present writer, having some interest in the problem, worked it out in full as outlined below. The result of this solution is a pair of formulas (one for stresses the other for strains) which include the three above mentioned formulas as special cases. There is no reason to believe, however, that there is anything new in this present solution, although the solution given in Lame's " Legons sur la Theorie Mathematique de V Elasticite des Corps Sclides " is extremely brief, and no helpful references could be found in the TodhunterPearson History,

The Problem of the Stresses and Strains in a Long Elastic Hollow Cylinder subjected to Internal and External Pressure, and to Tension