  We study the interaction of an elastic beam with a liquid drop in the case
where bending and extensional effects are both present. We use a variational
approach to derive equilibrium equations and constitutive relation for the
beam. This relation is shown to include a term due to surface energy in
addition of the classical Young's modulus term, leading to a modification of
Hooke's law. At the triple point where solid, liquid, and vapor phases meet we
find that the external force applied on the beam is parallel to the
liquid-vapor interface. Moreover, in the case where solid-vapor and
solid-liquid interface energies do not depend on the extension state of the
beam, we show that the extension in the beam is continuous at the triple point
and that the wetting angle satisfy the classical Young-Dupr\'e relation.
