Second-Order Direct Analysis of Domelike Structures Consisting of Tapered Members with I-Sections

Si Wei Liu, Rui Bai, Siu Lai Chan, Yao Peng Liu

Research output: Journal article publicationJournal articleAcademic researchpeer-review

30 Citations (Scopus)


A new and advanced beam-column element, namely the curved tapered-three-hinges (TTH) beam-column element, is proposed in this paper. The present element can perform large deformation analysis and explicitly simulate the initial member curvature, which is essential for the second-order direct analysis using one-element-per-member models. Another distinct feature of the element is to analytically express the flexural rigidity of tapered I-sections in the stiffness matrix through a series of tapered stiffness factors such as the αi and βi factors. Unlike the conventional models using the approximated distributions (e.g., linear, parabolic, or cubic) or stepped-elements modeling approaches in an analysis, the present study gives an accurate simulation solution on nonprismatic beam-column elements. Herein, the element derivations and formulations are given in detail. To consider the large deflection effect in the analysis, the incremental tangent stiffness method is adopted and the kinematic descriptions are presented. Finally, several examples are employed to validate and verify the reliability and accuracy of the proposed element.
Original languageEnglish
Article number04016009
JournalJournal of Structural Engineering (United States)
Issue number5
Publication statusPublished - 1 May 2016


  • Analysis
  • Analysis and computation
  • Dome
  • Element
  • Nonlinear
  • Steel
  • Tapered sections

ASJC Scopus subject areas

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


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