Influence of a Support Type and Location on the Value of Critical Load for Compression Bar

The study considers the stability problem of a rectilinear bar fastened at one end and compressed by a central axial force. We assume that at some point the bar is supported by a) hinge, allowing axial movement and rotation, or b) sliding sleeve, allowing axial movement only. We examine three types of end fastening: a) hinge, b) rigid clamp and c) sliding sleeve perpendicular to the bar axis. We solved the stability problem for the bar for both "conservative" compressing force and "follower" force. Findings of the research show that in the case of hinge support the value of critical "conservative" force decreases monotonically when the distance between the fastened end and the support decreases, but in the case of sliding sleeve the value of critical "conservative" force has a maximum. The point of maximum and maximal value depend on the type of the bar end fastening. In case when the compressing load is a "follower" force, the value of critical force increases mono-tonically when the distance between the fastened end and the support decreases.

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