A Model Study of Column Stability Based on Residual Stress Theory

Thomas Kabel, Mikkel Kongsmark Andersen, Lars German Hagsten

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The present article is based on a master’s thesis project on the study of steel columns buckling resistance. The primary focus is on the non-linear buckling region,
where both imperfections and residual stresses influence the buckling strength of
a column. In the current European Standard, this is carried out by applying the
Ayrton-Perry model. In this model, residual stresses are equated as geometrical
imperfections. In addition, a model proposed by Lehigh University is considered.
This model expresses the buckling strength of a column based on the residual
stress distributions influence on the gradually yielding of its cross-section. In order to optimize the Lehigh model, a modification which include the influence of
geometrical imperfections is proposed. Furthermore, the Lehigh model and the
Ayrton-Perry model are combined, in an effort to investigate their combined influence on the buckling strength of a column. Additionally, the article investigates
the basis for establishing a model based on energy principles, in which the influence of residual stresses are accounted for. It is concluded that the modified
Lehigh model reduce the buckling strength in relation to the original model, however not as much as the Ayrton-Perry model. Generally, the article draws the conclusion that it is highly troublesome to establish a simple model, in which the actual influence of residual stresses are included. This is primarily due to the erratic
behaviour of residual stresses.
Original languageEnglish
Article number1
Book seriesBygningsstatiske Meddelelser
Pages (from-to)1-43
Number of pages43
Publication statusPublished - 10 Feb 2021

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