Buckling of a Rectangular Column On the Basis of Murnaghans Formula for Strain

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Buckling of a Rectangular Column On the Basis of Murnaghans Formula for Strain
Samuel Lubkin
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An Upper Ll. R. Lt of Stable Strain 12 5. Buclling Criteria Below Limit Strain l6 6. Evaluation of Buckling Strain for Small Sections 25 Footnotes 50 ^Q . 1 cJ 9JJCI YgieriZ n nrf^-iJc el;^:;!^ 'io di:;. J:J 'rsqqU nA . I^ ?I ;-;IJ 170X0'': A:i:'iS:ti:-:cO :>: alp':- ■;' -y. !. £;[:>;/£{ "lo r^cx, : ?^ Bsjcrid-co-ii -1- 1. Introduction, The classical theory oi" buckling of columns is based upon the assiAmption of small deformations and cross-sections of dimensions so small as compared to the le...ngth that simple bending formulae are applicable. By analyzing the change in strain energy caused by small perturbations from 2 the simple compressed state^ buckling criteria can be derived which are valid for large strains and cross- sections. The derivations are, however, generally based ■3; upon the classical formula^ for strain energy density.
Prof. John 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 tj'pe suggested by Murnaghan.


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