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Excerpt from Non-Linear Deflections of Shallow Spherical Shells Consider a thin, hollow sphere of wall thickness 2b and mean radius R loaded by a uniform external pressure p directed towards the center. It is observed experimentally that as the pressure increases from zero, the shell apparently deforms by contracting into a smaller sphere. This mode of deformation continues until some critical value of the pressure is reached. At this value the shell suddenly jumps, or buckles into a non-spher ical buckled state consisting of a round, rotationally symmetric, inward dimple of small solid angle at some point on the surface of the shell, while the remainder of the shell remains apparently spherical. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

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