This paper is devoted to describe the asymptotic behavior of a structure made
by a thin plate and a thin rod in the framework of nonlinear elasticity. We
scale the applied forces in such a way that the level of the total elastic
energy leads to the Von-K\'arm\'an's equations (or the linear model for smaller
forces) in the plate and to a one dimensional rod-model at the limit. The
junction conditions include in particular the continuity of the bending in the
plate and the stretching in the rod at the junction
