Double-hinge modes in the dynamic response of plastic cantilever beams subjected to step loading

Y. L. Hua*, T. X. Yu, S. R. Reid

*Corresponding author for this work

Research output: Contribution to journalArticle

18 Citations (Scopus)


In this paper, double-hinge modes are introduced to analyse the response of a stepped or bent cantilever beam subjected to step loading at its free end. The material of the beams is assumed to be rigid-perfectly plastic, and complete solutions are constructed for four cases, which are summarized in tables. An analogy is found between the responses of stepped and bent cantilevers. For the bent cantilevers, the results herein provide a replacement for the 'unstable hinge' solutions previously derived, which violate the yield criterion. The results obtained are also useful for estimating the effects of imperfections in beams during dynamic loading.

Original languageEnglish
Pages (from-to)401-413
Number of pages13
JournalInternational Journal of Impact Engineering
Issue number4
Publication statusPublished - 1 Jan 1988


ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Automotive Engineering
  • Aerospace Engineering
  • Safety, Risk, Reliability and Quality
  • Ocean Engineering
  • Mechanics of Materials
  • Mechanical Engineering

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