This study introduces FEMANOLA v3.0, a dedicated finite element program developed for the nonlinear assessment of masonry arches under static loading. The modeling approach is tailored for curved structures, employing a heterogeneous methodology that distinguishes between bricks and mortar joints. Brick elements are represented as elastic quadrilaterals, whereas joints are idealized as nonlinear interfaces characterized by a cohesive-frictional law with softening, enabling the simulation of combined Mode I and Mode II fracture. Such nonlinear interfaces are equipped with their geometric thickness and modeled using isogeometric four-node elements, which ensure vanishing normal stress along the joint orientation. The robustness and accuracy of the proposed approach are demonstrated against experimental data and numerical results available in the literature. Such comparisons validate the model's capability in capturing the behavior of brick-made arches beyond elasticity, including crack propagation and failure mechanisms. By providing a reliable and efficient software for studying masonry behavior, FEMANOLA v3.0 offers a valuable understanding of the structural performance and collapse mechanisms of ancient masonry constructions, in particular curved ones, subjected to different loading scenarios.