Thesis (M.S.)--Virginia Polytechnic Institute and State University, 1994. / Vita. Abstract. Includes bibliographical references (leaf 138). Also available via the Internet.

The stiffness properties of a short narrow rectangular beam as modified by a primary bending moment and shear stress distribution in the major plane are presented. The beam is a segment taken from a longer member the "structure." A distribution of bending stress is assumed over the beam segment length and its effect on the stiffness properties in lateral bending and torsion obtained. The stiffness matrix is used to obtain the critical value of load for a number of well known examples of narrow rectangular beams and the results are shown to be in good agreement. The results of an energy solution, which produces a symmetrical matrix, are presented. Comparison with classical examples shows accurate results with the added benefit that the symmetrical matrix lends itself much more readily to more complicated problems. / Applied Science, Faculty of / Civil Engineering, Department of / Graduate

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. / Applied Science, Faculty of / Civil Engineering, Department of / Graduate

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published_or_final_version / Mechanical Engineering / Master / Master of Science in Engineering

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