Elastic lateral-torsional buckling of circular arches subjected to a central concentrated load

Pi, Y; Bradford, MA; Tong, G

Elastic lateral-torsional buckling of circular arches subjected to a central concentrated load

Pi, Y Bradford, MA Tong, G

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Publisher:: Elsevier
Publication Type:: Journal Article
Citation:: International Journal of Mechanical Science, 2010, 52 (6), pp. 847 - 862
Issue Date:: 2010-01

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Field	Value	Language
dc.contributor.author	Pi, Y	en_US
dc.contributor.author	Bradford, MA	en_US
dc.contributor.author	Tong, G	en_US
dc.date.issued	2010-01	en_US
dc.identifier.citation	International Journal of Mechanical Science, 2010, 52 (6), pp. 847 - 862	en_US
dc.identifier.issn	0020-7403	en_US
dc.identifier.uri	http://hdl.handle.net/10453/13552
dc.description.abstract	An arch under an in-plane central concentrated radial load is subjected to combined axial compressive and bending actions. When these combined axial compressive and bending actions reach a certain value, the arch may suddenly deflect laterally and twist out of its plane of loading and fail in a lateralâtorsional buckling mode. This paper derives analytical solutions for the elastic lateralâtorsional buckling load of pin-ended circular arches that are subjected to a central concentrated load, using the principle of stationary potential energy in conjunction with the RayleighâRitz method. Analytical solutions of the buckling load for in-plane fixed and out-of-plane pin-ended arches and for the case of the load acting above or below the shear centre are also derived. The analytical solutions are compared with results of a commercial finite element package ANSYS and a finite element code developed by authors elsewhere for arches with different slendernesses, included angles, and cross-sections. The agreement between the analytical solutions and the finite element results is very good.	en_US
dc.publisher	Elsevier	en_US
dc.relation.ispartof	International Journal of Mechanical Science	en_US
dc.relation.isbasedon	10.1016/j.ijmecsci.2010.02.003	en_US
dc.subject.classification	Mechanical Engineering & Transports	en_US
dc.title	Elastic lateral-torsional buckling of circular arches subjected to a central concentrated load	en_US
dc.type	Journal Article
utslib.citation.volume	6	en_US
utslib.citation.volume	52	en_US
utslib.for	0910 Manufacturing Engineering	en_US
utslib.for	0905 Civil Engineering	en_US
utslib.for	0913 Mechanical Engineering	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
utslib.copyright.status	closed_access
pubs.consider-herdc	true	en_US
pubs.issue	6	en_US
pubs.volume	52	en_US

Abstract:

An arch under an in-plane central concentrated radial load is subjected to combined axial compressive and bending actions. When these combined axial compressive and bending actions reach a certain value, the arch may suddenly deflect laterally and twist out of its plane of loading and fail in a lateralâtorsional buckling mode. This paper derives analytical solutions for the elastic lateralâtorsional buckling load of pin-ended circular arches that are subjected to a central concentrated load, using the principle of stationary potential energy in conjunction with the RayleighâRitz method. Analytical solutions of the buckling load for in-plane fixed and out-of-plane pin-ended arches and for the case of the load acting above or below the shear centre are also derived. The analytical solutions are compared with results of a commercial finite element package ANSYS and a finite element code developed by authors elsewhere for arches with different slendernesses, included angles, and cross-sections. The agreement between the analytical solutions and the finite element results is very good.

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http://hdl.handle.net/10453/13552