In this paper we present an asymptotic analysis of the three-dimensional problem for a
thin linearly elastic cantilever with rectangular cross-section ωε of sides ε and ε^2,
as ε goes to zero. Under suitable assumptions on the given loads, we show that the three-dimensional
problem converges in a variational sense to the classical one-dimensionalmodel for extension, flexure
and torsion of thin-walled beams.
