Stability of Columns Under Roller-Induced Loading
摘要
A structural mechanics problem concerning the stability of an elastic cantilever column with a constant cross-section subjected to axial compression transmitted through a roller mechanism has been investigated. Such configuration serves as a computational model for movable bearings in bridge superstructures and other engineering structures. Despite its apparent simplicity and clear practical relevance, this problem remains understudied in widely available technical literature. The problem has been solved within a linear framework explicitly accounting for the specific loading conditions introduced by four distinct types of roller mechanisms. The buckling modes have been identified and the reduction factors for the effective column length relative to Euler’s classical critical load have been determined. The study is intended for specialists in structural mechanics and strength of materials and contributes to more accurate understanding and evaluation of stability in cantilever columns subjected to non-standard loading conditions.