Lateral buckling of tapered, cantilever I-beam
Begnaud, Eugene Enile
Austin, Walter J.
Master of Science
It is the purpose of this study to examine theoretically the effect of flange and web taper on the lateral stability of a cantilever I-beam loaded with a point load at its end in the plane of maximum flexural rigidity. Both the flange and the web are tapered linearly. The load is allowed to move with the structure as it deflects, but its direction does not change, i.e., the load remains vertical. The governing differential equations are derived and the method of finite differences is used to solve the problems. Three cases are studied: load at the top flange, at the shear center, and at the bottom flange. In each case the initial direction of the load is through the shear center. Curves are plotted for a range of tapers from which may be obtained the critical buckling load. Three solutions are compared with experimental results obtained at Columbia University.