Overview

Excerpt from Buckling of a Rectangular Column on the Basis of Murnaghan's Formula for Strain Energy The classical theory of buckling of columns1 is based upon the assumption of small deformations and cross-sections of dimensions so small as compared to the length that simple bending formulae are applicable. By analyzing the change in strain energy caused by small perturbations from the simple compressed state,2 buckling criteria can be derived which are valid for large strains and cross sections. The derivations are, however, generally based upon the classical formula3 for strain energy density. Prof. John4 admits a wide class of strain energy density relations which includes the classical (termed by him standard) but does not include strain energy density functions of the type suggested by Miurnaghan.5 When I first considered these latter density functions, I carelessly assumed that they fitted experimental results, particularly those obtained by Bridgman6 for high hydro static pressures, more closely than the classical density function. Re-examination, however, indicated that this was true only for the more complicated formulae in murnaghan's article which involve more than two elastic constants. Murnaghan's simpler, two-constant, strain energy density function actually gives poorer agreement with the available experimental data than does the classical density function. 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.

Full Product Details

9781334016301

Table of Contents

Reviews

Author Information

Tab Content 6

Customer Reviews

Recent Reviews

Countries Available