Timoshenko line-element for stability analysis of tapered I-section steel members considering warping effects

A. H.A. Abdelrahman, Liang Chen, Si Wei Liu, Ronald D. Ziemian

Research output: Journal article publicationJournal articleAcademic researchpeer-review

6 Citations (Scopus)


Tapered I-section steel members can achieve efficient material utilization, and are economical alternatives to traditional prismatic ones. Current line-element formulations for tapered I-section members may not accurately capture buckling behavior because they typically ignore shear and warping deformations. The research refines the existing line-element formulation for tapered I-section members by directly considering warping deformation. The tapered member's flexural rigidity is analytically expressed in a stiffness matrix via utilizing a series of tapering factors, which can produce more accurate analysis than those by the conventional stepped-element or the approximate distribution (e.g., linear, parabolic, or cubic) methods. The element formulation is established based upon the Updated-Lagrangian method that permits moderate deformation. The numerical procedure for tracing the solution path is illustrated in detail with a flowchart. Finally, performances of the proposed method, particularly the accuracy of the new element stiffness matrices, are thoroughly assessed by presenting several examples.

Original languageEnglish
Article number109198
JournalThin-Walled Structures
Publication statusPublished - Jun 2022


  • Buckling
  • Line element
  • Nonlinear
  • Steel members
  • Tapered members
  • Warping effects

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Building and Construction
  • Mechanical Engineering


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