Abstract
The out of plane static analysis and stability analysis of curved beams of variable curvature on 2-D plane are investigated. The general solutions under various loadings are demonstrated. The analytical solutions of circular, cycloid, and spiral curved beams under pure moments are shown. The analytical solutions of circle, cycloid logarithmic spiral and spiral cantilever curved beams under concentrated load are presented as well. The out-of-plane critical load of a circular ring under uniform radial load is derived. Several critical loads are derived for various out-of-plane boundary conditions. The results are compared to the result by ANSYS. The results are consistent.
