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Abstract
The present research aims to evaluate the lateral torsional buckling
of tapered I- beams. This is achieved by adopting two different
techniques; variational approach and finite element method. Variational
approach to derive the Euler- Lagrange equations for the displacement
components, the equilibrium equations defining instability phenomena
and the corresponding limit conditions are obtained for thin, open crosssection,
continually tapered beams. The variability of the cross-section
along the span introduces an additional term for the expression of the
tangential torsions due to variation of the shear centre position. A
theoretical analysis was carried out on the basis of the positive
definiteness of the second variation of the total potential energy which
represents the stability criterion of the beams. Closed form solutions for
different cases of tapered beams are presented.