The paper reports some results proving the successful application of a correct theoretical treatment, based on the NRT material assumption, of structural problems relevant to classical masonry typologies such as arches, walls and vaults.

The set up of the general energetic approach for analyzing masonry structures under live loads, its specialization to the relevant discrete models, the implementation of ad hoc built up calculus codes are demonstrated to produce numerical results in very good agreement with data produced by experimental investigation.

One should emphasize that, differently from many models which require a number of parameters allowing a certain adaptation of the shape of the numerical curve to the experimental one, the NRT model has the big advantage that the only mechanical parameter to be evaluated is the masonry elastic modulus. Since the tuning of the theoretical model is pretty simple, there would be no possibility to force it to produce theoretical results fitting with such a good agreement the experimental data, because the tuning operation itself cannot influence the shape of the numerical diagram but only the displacements scale.

As a point of fact, the sensitivity of the modelling to material assumptions reduces to the inverse proportionality between the material elastic modulus and displacements, without any influence on the load capacity and on the evolution of displacements with the loads.

Actually the extension to the case of some reinforcement directly applied on the masonry can also be studied by properly modeling the reinforcement itself and its connection with the masonry.

The theoretical/numerical agreement, which is an original result also for the case of masonry constructions with FRP reinforcements, demonstrates that the overall approach is reliable for the treatment of masonry constructions also in the presence of consolidation interventions.

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