Integration of parametric measures and the statics of masonry panels

In this paper we consider masonry bodies undergoing loads that can be represented by vector valued mesures, and prove a result that is an appropriate formulation to this context of the static theorem of the limit analysis. As applications, we study the equilibrium of panels that are subjected both to distributed loads and concentrated forces, and determine equilibrated tensor valued measures. Then, by using an integration procedure for parametric measures, we explicitly calculate equilibrated stress fields that are represented by integrable functions. The obtained solutions are discussed.