Critical buckling loads of the perfect Hollomon's power-law columns

Dongming Wei, Alejandro Sarria, Mohamed Elgindi

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


Abstract In this work, we present analytic formulas for calculating the critical buckling states of some plastic axial columns of constant cross-sections. The associated critical buckling loads are calculated by Euler-type analytic formulas and the associated deformed shapes are presented in terms of generalized trigonometric functions. The plasticity of the material is defined by the Hollomon's power-law equation. This is an extension of the Euler critical buckling loads of perfect elastic columns to perfect plastic columns. In particular, critical loads for perfect straight plastic columns with circular and rectangular cross-sections are calculated for a list of commonly used metals. Connections and comparisons to the classical result of the Euler-Engesser reduced-modulus loads are also presented.

Original languageEnglish
Article number2675
Pages (from-to)69-76
Number of pages8
JournalMechanics Research Communications
Publication statusPublished - Aug 7 2013


  • Axial plastic columns
  • Critical buckling load
  • High strength metals
  • Hollomon's law
  • Work-hardening

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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