Being a quasi-brittle material, concrete exhibits a strain softening behavior that cannot be reproduced with classical continuum mechanics models. To regularize the problem, an internal length should be introduced. Several ways to do so have been proposed in the literature. One way is the so called local second gradient model. It is a local theory as it introduces the internal length by enriching the kinematical description of the continuum adding higher order gradients of the displacement according to the work of Cosserat [8], Toupin [18], Mindlin [19] and Germain [9,10]. The model has been developed by Chambon et al. [11,12] and has this far been used mainly to reproduce the behavior of soils. It is here applied for the first time to a reinforced concrete beam subjected to a 3 point bending test.