Calculation of Critical Loading of Beam Columns

Abstract

This article shows the dependences connecting the deflection, a critical force and the location of the dangerous section. The following design schemes are being considered: a column, loaded at the ends of the longitudinal force equal to one side and pointing eccentricities; a colon which is rigidly clamped bottom and hinged top, eccentrically loaded longitudinal force applied on the upper end; columns, rigid clamping from below, at the free end loaded eccentrically applied force; a column, hinged, loaded on the upper end of the eccentrically attached to the longitudinal force. As in some of the equations the function is not defined, then we will not be able to determine the value of critical force analytically, but knowing the geometric characteristics of the column and the allowable deflection, we can calculate the value of the critical force.