  This paper is devoted to describe the deformations and the elastic energy for
structures made of straight rods of thickness $2\delta$ when $\delta$ tends to
0. This analysis relies on the decomposition of the large deformation of a
single rod introduced in [6] and on the extension of this technique to a
multi-structure. We characterize the asymptotic behavior of the infimum of the
total elastic energy as the minimum of a limit functional for an energy of
order $\delta^\beta$ ($2<\beta\le 4$).
