In-plane elastic buckling of pin-ended shallow parabolic arches

Jiho Moon, Ki Yong Yoon, Tae Hyung Lee, Hak Eun Lee

Research output: Contribution to journalArticlepeer-review

49 Citations (Scopus)


The classical buckling theory is commonly adopted to evaluate the buckling load of arches regardless of their types and shapes. For shallow arches, however, the classical buckling theory may overestimate the buckling load because of a large pre-buckling deformation. In this study, the geometrically nonlinear behavior of pin-ended shallow parabolic arches subjected to a vertically distributed load is investigated to evaluate the buckling load. The nonlinear governing equilibrium equation of the parabolic arch is adopted to derive the buckling formula for a pin-ended shallow parabolic arch. Moreover, the threshold of different buckling modes (symmetric and asymmetric) is derived in terms of the slenderness ratio and the rise-to-span ratio of such arches. Numerical examples show that the proposed formula can accurately predict the buckling load of pin-ended parabolic arches.

Original languageEnglish
Pages (from-to)2611-2617
Number of pages7
JournalEngineering Structures
Issue number10
Publication statusPublished - 2007 Oct

Bibliographical note

Funding Information:
This work is part of a research project supported by the Korean Ministry of Construction and Transportation (MOCT) through the Korea Bridge Design and Engineering Research Center at Seoul National University. The authors wish to express their gratitude for financial support.


  • Buckling modes
  • In-plane buckling
  • Shallow parabolic arches
  • Symmetric snap-through

ASJC Scopus subject areas

  • Civil and Structural Engineering


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