Approximate elastic stress estimates for elbows under internal pressure

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

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)


This paper presents closed-form approximations to elastic stresses in thick- and thin-walled elbows with attached straight pipes under internal pressure, based on three-dimensional elastic finite element analysis. Elastic stresses in the centre of an elbow are found to be close to an existing closed-form solution, suggesting that the hoop stress varies with the longitudinal position. The FE results indicate that the hoop stress varies linearly with the longitudinal position. Moreover, stresses in the junction of an elbow and straight pipe are shown to be the average of those in the centre of the elbow and in the straight pipe.

Original languageEnglish
Pages (from-to)526-535
Number of pages10
JournalInternational Journal of Mechanical Sciences
Issue number7
Publication statusPublished - 2011 Jul 1
Externally publishedYes


  • Elastic stresses
  • Elbow
  • Finite element analysis
  • Internal pressure

ASJC Scopus subject areas

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


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