ELASTIC STABILITY OF BARS OF ARBITRARY LENGTH

The linearized, elastic stability theory of Biezeno and Hencky (Koninklijke Akademie van Wetenschappen te Amsterdam, Proceedings, 31:569 to 592, 1928) for problems which are nonlinear both physically and geometrically are applied to two cases. An exact, plane strain solution, in closed form, is obta...

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Bibliographic Details
Main Authors: LING,FREDERICK F, HANDELMAN,GEORGE H
Format: Report
Language:English
Subjects:
BEAMS(ELECTROMAGNETIC)
BEAMS(STRUCTURAL)
DEFORMATION
ELASTIC PROPERTIES
MATHEMATICAL ANALYSIS
MECHANICAL PROPERTIES
MECHANICS
RODS
STABILITY
THEORY
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Summary:The linearized, elastic stability theory of Biezeno and Hencky (Koninklijke Akademie van Wetenschappen te Amsterdam, Proceedings, 31:569 to 592, 1928) for problems which are nonlinear both physically and geometrically are applied to two cases. An exact, plane strain solution, in closed form, is obtained for rectangular bars under uni-axial initial stress. Also obtained is an exact solution for round bars under uni-axial initial stress. Results show that the theory yields plausible information for bars of arbitrary length, i.e. included are short bars whose stability behavior have eluded description by classical theories. (Author)