Nonlinear beam-column element under consistent deformation

Yi Qun Tang, Zhi Hua Zhou, Siu Lai Chan

Research output: Journal article publicationJournal articleAcademic researchpeer-review

27 Citations (Scopus)


A new nonlinear beam-column element capable of considering the shear deformation is proposed under the concept of consistent deformation. For the traditional displacement interpolation function, the beam-column element produces membrane locking under large deformation and shear locking when the element becomes slender. To eliminate the membrane and shear locking, force equilibrium equations are employed to derive the displacement function. Numerical examples herein show that membrane locking in the traditional nonlinear beam-column element could cause a considerable error. Comparison of the present improved formulae based on the Timoshenko beam theory with that based on the Euler-Bernoulli beam theory indicates that the present approach requires several additional parameters to consider shear deformation and it is suitable for computer analysis readily for incorporation into the frames analysis software using the co-rotational approach for large translations and rotations. The examples confirm that the proposed element has higher accuracy and numerical efficiency.
Original languageEnglish
Article number1450068
JournalInternational Journal of Structural Stability and Dynamics
Issue number5
Publication statusPublished - 29 Jun 2015


  • Beam-column element
  • co-rotational approach
  • consistent deformation element
  • large deflection analysis
  • membrane locking
  • shear locking

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Building and Construction
  • Aerospace Engineering
  • Ocean Engineering
  • Mechanical Engineering
  • Applied Mathematics


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