Elastic stresses for 90° elbows under in-plane bending

Joong Hyok An, Seok Pyo Hong, Yun Jae Kim, Peter J. Budden

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)


Using finite element analysis, this paper extends elastic stress solutions for 90° pipe elbows under in-plane bending, given in Marie et al. (2007) [1], to cases of mean pipe radius-to-thickness ratio up to 50. It is found that for 90° elbows an in-plane bending moment produces not only an axial membrane stress component but also axial and hoop bending stress components. Furthermore, the magnitudes of these stress components depend strongly on the mean radius-to-thickness ratio, the circumferential location and the longitudinal location. Maximum stresses tend to occur in the centre of the elbow at or near the crown.

Original languageEnglish
Pages (from-to)762-776
Number of pages15
JournalInternational Journal of Mechanical Sciences
Issue number9
Publication statusPublished - 2011 Sept


  • 90° Elbow
  • Elastic stresses
  • Finite element analysis
  • In-plane bending

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • General Materials Science
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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