Exact Critical Loads for a Pinned Half-Sine Arch Under End Couples | Zendy

JenSan Chen | Zendy; Jian-San Lin | Zendy

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Exact Critical Loads for a Pinned Half-Sine Arch Under End Couples

Author(s) -

JenSan Chen,

Jian-San Lin

Publication year - 2005

Publication title -

journal of applied mechanics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.69

H-Index - 97

eISSN - 1528-9036

pISSN - 0021-8936

DOI - 10.1115/1.1827244

Subject(s) - arch , sine , buckling , critical load , gyration , geometry , radius , physics , radius of gyration , mechanics , mathematical analysis , mathematics , structural engineering , classical mechanics , engineering , computer science , computer security , nuclear magnetic resonance , polymer

In this note we show that for a pinned half-sine arch under end couples snap-through buckling will occur unsymmetrically if the initial height of the shallow arch is greater than 6.5466r, where r is the radius of gyration of the cross section. The closed-form expression for the critical couple can be obtained analytically.

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