Buckling lengths of heavy column with various end conditions

Joon Kyu Lee, Byoung Koo Lee

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


This paper deals with buckling lengths of the heavy column with various end conditions, where both top and bottom ends are either free or hinged or clamped. Based on equilibrium equations of the buckled column element, the differential equation governing the buckled mode shape is derived. For solving the buckling length, the differential equation is integrated by the direct integration method and the buckling length is calculated by the determinant search method. The buckling lengths of this study agree well with those of references. The buckling lengths with various end conditions, buckled mode shapes and buckling stresses are presented.

Original languageEnglish
Pages (from-to)163-168
Number of pages6
JournalEngineering Solid Mechanics
Issue number2
StatePublished - 2020


  • Buckling length
  • Buckling stress
  • Heavy column
  • Mode shape
  • Self-weight


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