Buckling and geometrically nonlinear analysis of frames using one element/member

Andrew Kwok Wai So, Siu Lai Chan

Research output: Journal article publicationJournal articleAcademic researchpeer-review

15 Citations (Scopus)


The commonly used Hermite cubic element represents the solution for the linear differential equilibrium equation of a straight beam under the Bernoulli hypothesis. However, this element grossly over-estimates the buckling load of a strut when only a single element is used to model a member. This paper presents a simple higher-order element capable of predicting the buckling load of a strut with various boundary conditions by using only a single element for each member. It is found that a direct introduction of a displacement degree of freedom to the mid-length of the cubic element will improve significantly its performance in a nonlinear analysis. The computational efficiency and formulation of this new element are very similar to those for the cubic element in spite of their discrepancies in accuracy.
Original languageEnglish
Pages (from-to)271-289
Number of pages19
JournalJournal of Constructional Steel Research
Issue number4
Publication statusPublished - 1 Jan 1991

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Building and Construction
  • Mechanics of Materials
  • Metals and Alloys


Dive into the research topics of 'Buckling and geometrically nonlinear analysis of frames using one element/member'. Together they form a unique fingerprint.

Cite this