Abstract
The beam theory of the cylindrical shell has been established already. It has however been a great troublesome task to perform numerical calculations under this assumption and the acurracy has still been uncertain. In order to get rid of their disadvantages, the author introduces in this paper the practical expressions for stresses of the cylindrical shell of uniform thickness under symmetrical loads and discusses their applicable ranges reffering to results of more vigorous solutions. For example the value of Mφ is expressed by the following formula, [numerical formula] where (Mφ), etc. functions of φ_1 and φ, and are given in tables. As for the the applicable range, a parameter of the shell dimensions is given with [numerical formula] This ranges are established as follows, when φ_1 is not so small. single shell without edge beam Ω<0.6〜1.1 single shell with edge beams Ω<0.5〜0.9 multi shell without edge beam Ω<1.0〜1.2 multi shell with edge beams Ω<0.8〜1.2 In the range of Ω value smaller than the first values of the right terms, the beam thory gives very good approxiation. And it is still practically applicable up to the second Ω-values when the formulae are added with modification terms shown in this paper. Notations; a: radius of curvature, l: span length, d: thickness of a shell, 2φ: angle subtended to a shell, g,q: own and snow weight, I: geometrical moment of inertia of the section, r: defined according to the position of the neutral axis.
