In-plane elastic buckling of shallow parabolic arches under an external load and temperature changes

JianGou Cai, Yixiang Xu, Jian Feng, Jin Zhang

Research output: Contribution to journalArticle

38 Citations (Scopus)

Abstract

This paper studies the in-plane stability of rotationally restrained shallow arches subjected to a vertical uniform load and temperature changes below 100ഒ. The
virtual work principle method is used to establish the non-linear equilibrium and
buckling equations. Analytical solutions for the non-linear in-plane symmetric
snap-through and asymmetric bifurcation critical loads are obtained. Then the effects of the uniform temperature field and temperature gradients on the in-plane stability for arches are studied. It has been found that the influence of temperature variations on the critical loads for both the symmetric snap-through and asymmetric bifurcation modes is significant. The critical loads increase with an increase of the uniform temperature field and a decrease of temperature gradients. Furthermore, the effect of temperature changes on the critical load increases with the span-rise ratio m of arches. It can also be found that increasing the stiffness of rotational springs will increase the effect of the uniform temperature field but reduce the effect of the temperature gradients.
Original languageEnglish
Pages (from-to)1300–1309
Number of pages10
JournalJournal of Structural Engineering
Volume138
Issue number11
Early online date1 Feb 2012
DOIs
Publication statusPublished - Nov 2012

Keywords

  • arch
  • steel
  • buckling
  • stability
  • temperature field
  • temperature gradients

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