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

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

doi:10.1016/j.engstruct.2007.01.004

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 journal › Article › peer-review

51 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	2611-2617
Number of pages	7
Journal	Engineering Structures
Volume	29
Issue number	10
DOIs	https://doi.org/10.1016/j.engstruct.2007.01.004
Publication status	Published - 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.

Keywords

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

ASJC Scopus subject areas

Civil and Structural Engineering

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10.1016/j.engstruct.2007.01.004

Cite this

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title = "In-plane elastic buckling of pin-ended shallow parabolic arches",

abstract = "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.",

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author = "Jiho Moon and Yoon, {Ki Yong} and Lee, {Tae Hyung} and Lee, {Hak Eun}",

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. ",

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AU - Yoon, Ki Yong

AU - Lee, Tae Hyung

AU - Lee, Hak Eun

N1 - 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.

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Y1 - 2007/10

N2 - 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.

AB - 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.

KW - Buckling modes

KW - In-plane buckling

KW - Shallow parabolic arches

KW - Symmetric snap-through

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

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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