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Deflections and Statically Indeterminate Stresses

Excerpt from Deflections and Statically Indeterminate Stresses Previous to the past year very few text-books in English had been published on the subject of statically indeterminate stresses, the books of Martin and Hiroi being the only ones with which the author is familiar. For many years the author has had in mind and has been preparing matter for the publication of a text-book which would give the very few underlying principles of the subject and show their application to a number of the problems to which they apply. While the principle of the work of deformation has been freely used by the author in many of the general demonstrations and in the solution of some of the special problems, the determination of the statically indeterminate stresses and reactions has generally been made directly from the proportionality between load and deformation as the basis. The deformations which an elastic body undergoes when subjected to load may be determined in several ways if the deformations are so small that the loaded structure remains practically similar to the unstressed structure. For a structure built of an elastic material having a unit elongation, for the unit stress used, of 0.0006, the methods of this book would have a high degree of precision, but for a material just as perfectly elastic having a unit elongation of 0.06 they would have no great value. Several methods of finding the distortions of elastic structures under loading are developed and the importance of the subject, particularly in bridge erection, is shown. The method of finding deflections by means of the work due to an auxiliary load of unity is given much prominence both for solid and open webbed structures, as it appears to be the simplest of all the methods of computing deflections, when the steps in the operation of computing deflections are considered, as they properly should be, a part of computations which must be made in actually building a structure. The method of writing the equations for unknown stresses, forces, and reactions in terms of certain elastic deformations due to unit loads has led to new formulas for finding these quantities for certain structures. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at 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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