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Lateral-Torsional Buckling Analysis of Arches Having In-Plane Rotational End Restraints under Uniform Radial Loading
In many cases, an arch may have in-plane elastic end restraints provided by the connected structures or elastic foundations, which may influence the elastic lateral-torsional buckling of the arch. However, little research of the lateral-torsional buckling of arches with elastic end restraints has been reported in the open literature. This paper analytically investigates the lateral-torsional buckling of pin-ended circular arches having in-plane elastic rotational end restraints under a uniform radial load. The analytical solutions for the prebuckling behavior of such an arch show that the uniform radial load produces combined axial compressive and bending actions in the arch and that the axial compressive force produced by the uniform radial load is approximately uniform along the arch axis. It is found that the stiffness of elastic rotational end restraints has significant effects on the magnitude and distribution of the axial compressive forces and bending moments. The axial compressive force decreases with an increase of the stiffness of rotational end restraints. The analytical solution for the lateral-torsional buckling load of the arch is derived, which accounts for the effects of rotational end restraints. It is found that the effects of the stiffness of rotational end restraints on the lateral-torsional buckling load are profound. The buckling load increases with an increase of the stiffness of the end restraints. It is demonstrated by comparisons with the finite-element results that the analytical solution provides good predictions for the lateral-torsional buckling load of both shallow and deep arches having in-plane rotational end restraints.
Lateral-Torsional Buckling Analysis of Arches Having In-Plane Rotational End Restraints under Uniform Radial Loading
In many cases, an arch may have in-plane elastic end restraints provided by the connected structures or elastic foundations, which may influence the elastic lateral-torsional buckling of the arch. However, little research of the lateral-torsional buckling of arches with elastic end restraints has been reported in the open literature. This paper analytically investigates the lateral-torsional buckling of pin-ended circular arches having in-plane elastic rotational end restraints under a uniform radial load. The analytical solutions for the prebuckling behavior of such an arch show that the uniform radial load produces combined axial compressive and bending actions in the arch and that the axial compressive force produced by the uniform radial load is approximately uniform along the arch axis. It is found that the stiffness of elastic rotational end restraints has significant effects on the magnitude and distribution of the axial compressive forces and bending moments. The axial compressive force decreases with an increase of the stiffness of rotational end restraints. The analytical solution for the lateral-torsional buckling load of the arch is derived, which accounts for the effects of rotational end restraints. It is found that the effects of the stiffness of rotational end restraints on the lateral-torsional buckling load are profound. The buckling load increases with an increase of the stiffness of the end restraints. It is demonstrated by comparisons with the finite-element results that the analytical solution provides good predictions for the lateral-torsional buckling load of both shallow and deep arches having in-plane rotational end restraints.
Lateral-Torsional Buckling Analysis of Arches Having In-Plane Rotational End Restraints under Uniform Radial Loading
Pi, Yong-Lin (Autor:in) / Bradford, Mark Andrew (Autor:in)
Journal of Engineering Mechanics ; 139 ; 1602-1609
01.02.2013
82013-01-01 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch