Stresses in a Buckled Rectangular Column

摘要

The maximum compressive stress in and the total load on a rectangular column, which has been loaded beyond the critical buckling load, are evaluated, using non-linear theory but plane strain conditions. The results are given in the form of power series expansions. The coefficients in these expansions and several other quantities of interest are given both as power series with the Euler critical strain as parameter and in tabular form for 20 slenderness ratios of the column. The results are applied to structural steel columns and it is determined that the load causing column failure is trivially greater than the critical load initiating buckling except for relatively thick columns which fail prior to buckling and for very slender columns, of proportions not used in normal practice. (Author)