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    Revisiting Nonlinear In-Plane Elastic Buckling and Postbuckling Analysis of Shallow Circular Arches under a Central Concentrated Load

    Source: Journal of Engineering Mechanics:;2016:;Volume ( 142 ):;issue: 008
    Author:
    Yong-Lin Pi
    ,
    Mark Andrew Bradford
    ,
    Yan-Lin Guo
    DOI: 10.1061/(ASCE)EM.1943-7889.0001098
    Publisher: American Society of Civil Engineers
    Abstract: This paper revisits the nonlinear in-plane analysis of a shallow pin-ended circular arch under a central concentrated load. It is found that the arch may have multiple equilibrium branches and limit points, and a modified slenderness of the arch defined in the paper plays an important role in the number of the limit points and equilibrium branches. The analytical solution for the specific modified slendernesses that switch the number of equilibrium branches and limit points is derived. The analytical solutions for the load, axial force, and radial displacements corresponding to the specific modified slendernesses are also derived. This paper deepens the understanding for the geometric nonlinear analysis of circular arches and their geometric softening and stiffening behavior and provides useful benchmarks for the analyses of shallow arches. In addition, this paper extends the current solutions of nonlinear equilibrium of arches associated with axial compression to those associated with axial tension caused by large deformations.
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      Revisiting Nonlinear In-Plane Elastic Buckling and Postbuckling Analysis of Shallow Circular Arches under a Central Concentrated Load

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    contributor authorYong-Lin Pi
    contributor authorMark Andrew Bradford
    contributor authorYan-Lin Guo
    date accessioned2017-12-30T12:53:57Z
    date available2017-12-30T12:53:57Z
    date issued2016
    identifier other%28ASCE%29EM.1943-7889.0001098.pdf
    identifier urihttp://138.201.223.254:8080/yetl1/handle/yetl/4243104
    description abstractThis paper revisits the nonlinear in-plane analysis of a shallow pin-ended circular arch under a central concentrated load. It is found that the arch may have multiple equilibrium branches and limit points, and a modified slenderness of the arch defined in the paper plays an important role in the number of the limit points and equilibrium branches. The analytical solution for the specific modified slendernesses that switch the number of equilibrium branches and limit points is derived. The analytical solutions for the load, axial force, and radial displacements corresponding to the specific modified slendernesses are also derived. This paper deepens the understanding for the geometric nonlinear analysis of circular arches and their geometric softening and stiffening behavior and provides useful benchmarks for the analyses of shallow arches. In addition, this paper extends the current solutions of nonlinear equilibrium of arches associated with axial compression to those associated with axial tension caused by large deformations.
    publisherAmerican Society of Civil Engineers
    titleRevisiting Nonlinear In-Plane Elastic Buckling and Postbuckling Analysis of Shallow Circular Arches under a Central Concentrated Load
    typeJournal Paper
    journal volume142
    journal issue8
    journal titleJournal of Engineering Mechanics
    identifier doi10.1061/(ASCE)EM.1943-7889.0001098
    page04016046
    treeJournal of Engineering Mechanics:;2016:;Volume ( 142 ):;issue: 008
    contenttypeFulltext
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