UBC Theses and Dissertations
Lateral stability of rectangular beams Bell, Leon Alexander
This thesis presents a method for finding the lateral buckling load of a straight beam loaded perpendicular to its longitudinal axis with loads applied at any eccentricity. The beam can be restrained at any number of points along its length against deflections and rotations. The beam is divided into a number of segments and joints for which equations involving statics, elasticity, and continuity are written. The resulting group of nonlinear simultaneous equations is solved for several magnitudes of the loading pattern for which a buckling load is desired. A graph of the determinant of the structure matrix versus the load level yields the critical load. Included in the thesis is a complete listing of the computer program used in the solution technique. It was written for use on the IBM 7040 installation at the University of British Columbia. Included also are curves giving the lateral buckling stress of a beam simply supported at one end, and cantilevered over a flexible column at the other end, and whose top flange is laterally restrained. The beam carries a uniform load together with a concentrated load at the end of the cantilever. In addition, some data is included on the effect of tension flange bracing on the buckling load.
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