Analytical solutions of in-plane static problems for non-uniform curved beams including axial and shear deformations

Ekrem Tufekci*, Alaeddin Arpaci

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

26 Citations (Scopus)

Abstract

Exact analytical solutions for in-plane static problems of planar curved beams with variable curvatures and variable cross-sections are derived by using the initial value method. The governing equations include the axial extension and shear deformation effects. The fundamental matrix required by the initial value method is obtained analytically. Then, the displacements, slopes and stress resultants are found analytically along the beam axis by using the fundamental matrix. The results are given in analytical forms. In order to show the advantages of the method, some examples are solved and the results are compared with the existing results in the literature. One of the advantages of the proposed method is that the high degree of statically indeterminacy adds no extra difficulty to the solution. For some examples, the deformed shape along the beam axis is determined and plotted and also the slope and stress resultants are given in tables.

Original languageEnglish
Pages (from-to)131-150
Number of pages20
JournalStructural Engineering and Mechanics
Volume22
Issue number2
DOIs
Publication statusPublished - 30 Jan 2006

Keywords

  • Axial extension
  • Curved beam
  • Initial value method
  • Shear deformation
  • Variable cross-section

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