Accession Number : AD0465771

Title :   STRESSES IN A BUCKLED RECTANGULAR COLUMN,

Corporate Author : NEW YORK UNIV NY COURANT INST OF MATHEMATICAL SCIENCES

Personal Author(s) : Lubkin, Samuel

Report Date : MAY 1965

Pagination or Media Count : 23

Abstract : 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 fall prior to buckling and for very slender columns, of proportions not used in normal practice. (Author)

Descriptors :   (*RECTANGULAR BODIES, STRESSES), BUCKLING, MATHEMATICAL ANALYSIS, DEFORMATION, STRAIN(MECHANICS), NONLINEAR DIFFERENTIAL EQUATIONS, POWER SERIES, SLENDER BODIES, THEORY, BEAMS(STRUCTURAL).

Distribution Statement : APPROVED FOR PUBLIC RELEASE