The paper presents a finite element code for the non-linear analysis of curved FRCM-reinforced masonry pillars subjected to standard shear tests (FEMANOLA v4.0). For FRCM, a non-linear one-dimensional finite element with 16 Degrees of Freedom (16-DOF) is adopted, whereas unreinforced masonry is modelled by means of a heterogeneous approach where bricks are meshed with four-noded elastic elements and joints are reduced to interfaces exhibiting a non-linear cohesive frictional behavior with softening, capable of reproducing mixed Mode I and II failures. The 16-DOF element consists of three layers (an outer matrix, a central fiber textile, and an inner matrix) subjected to a predominant longitudinal monoaxial stress state. These layers interact via interfaces that exchange tangential stresses and, when applied to curved surfaces, traction/compression radial stresses. The finite element has two nodes, three in-parallel trusses representing the matrix and fiber layers and nodal normal and tangential non-linear springs representing the interfaces. Each node has 8 degrees of freedom, accounting for longitudinal and transversal displacements of the layers and of the substrate. The non-linear interfaces representing mortar joints are modelled with isogeometric four-node elements where normal stress along the interface direction is vanishing. The model effectiveness is shown for curved masonry pillars reinforced with FRCM and subjected to standard shear tests, by comparing the results obtained with experimental data and with previously presented numerical models.