Effective moment of inertia for rectangular elastoplastic beams

Ronald K. Faller, Barry T. Rosson

Research output: Contribution to journalArticlepeer-review


An effective moment of inertia is developed for a rectangular, prismatic elastoplastic beam with elastic, linear-hardening material behavior. The particular solution for a beam with elastic, perfectly plastic material behavior is also presented with applications for beam bending in closed-form. Equations are presented for the direct application of the virtual work method for elastoplastic beams with concentrated and distributed loads. Comparisons are made between the virtual work method deflections and the deflections obtained by using an average effective moment of inertia over two lengths of the beam in the elastoplastic region.

Original languageEnglish (US)
Pages (from-to)95-110
Number of pages16
JournalStructural Engineering and Mechanics
Issue number1
StatePublished - 1999


  • Deflections
  • Effective moment of inertia
  • Elastic, linear-hardening
  • Elastic, perfectly plastic
  • Elastoplastic beams
  • Virtual work

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Building and Construction
  • Mechanics of Materials
  • Mechanical Engineering


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