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

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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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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