Elastic cantilever bending under the impact of centrifugal force: critical loads

A practically significant case of cantilever bending when common effective load is traveling is considered. In case of geometrical nonlinear bending of cantilever under the impact of centrifugal force exact solutions for critical load and bending deflection of cantilever are obtained. Cases of possible conversions of cantilever forms with differing number of inflection are specified.