This paper is devoted to the asymptotic analysis of the problem of linear elasticity for an anisotropic and inhomogeneous body occupying, in its reference configuration, a cylindrical
domain with a rectangular cross section with sides proportional to ε and ε^2 and clamped on one of its
bases. The sequence of solutions uε of the equilibrium problem is shown to converge in an appropriate
topology, as ε goes to zero, to the solution of a problem for a beam in which the extensional, flexural,
and torsional effects are all coupled together.
