Determination of bending moments in pressure-loaded rings of arbitrary shape when deflections are considered

F. R. Steinbacher, Hsu Lo
naca-tn-1692
Sep 1948


An analytical method has been derived for determining bending-moment distribution in rings of arbitrary shape under internal pressure loads, with the change of geometric shapes caused by the load being considered. For the purpose of clarity, the method developed was applied only to double-symmetrical shapes. A differential-integral equation has been derived for this purpose and its solution obtained in the form of a trigonometric series.

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