Lateral buckling of uniformly loaded, tapered, cantilever I-beams
Vanderzyl, Richard Lynn
Austin, Walter J.
Master of Science
The purpose of this thesis is to report a theoretical investigation concerned with the effect of web and flange taper on the lateral stability of a uniformly loaded, cantilever I-beam. The I-beam is loaded along its entire length in the plane of maximum flexural rigidity. The web and flanges are tapered linearly from the free end to the fixed end. Results are obtained for three positions of load application: at the top flange, at the shear center or centroid, and at the bottom flange. In each case, the initial direction of the load is vertical through the shear center and the load is assumed to remain acting in a vertical direction, but is allowed to move as the beam deflects. The governing differential equations are derived and the method of finite differences is used to numerically solve these equations. Tables and representative plots of the results are provided from which the critical buckling load may be readily determined.