The Formal Specification of the Elements of Stress in Cartesian, And in Cylindrical And Spherical Polar Coordinates. On the Modes of Rupture of An Open Concrete Shell Under Axial Pressure
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No ■doubt, for completion, the case of curvilinear coordinates should have been included, but this offers no considerable •difficulty, and may well be deferred till the question of its use in Geostatics arises. Although the paper contains no illustrative applica- tions, I may perhaps be allowed to state that I have taken ^ome steps to satisfy myself that the method proposed •appears to be of practicable application to the theory of the cylindrical test-piece in Mechanical Engineering and to the... theory of arches and domes in Civil Engineering. Although I shall not consider any precise problem, each of which will require its special method of final treatment for surface-tractions, etc., I wish to show some grounds for the belief which I have expressed that the method of this paper lends itself to the treatment of particular cases. For this purpose I have selected the case of a body symmetrical about an axis, and subject to surface- tractions only, also symmetrical about that axis.
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