Full-scale cyclic tests on a stone masonry building to investigate the effectiveness of a one-side application of the composite reinforced mortar system

•Behavior of a full-scale masonry building strengthened with CRM on one-side.•Quasi-static cyclic loading test.•The CRM coating modified the stiffness, strength and the failure mode.•The CRM coating can effectively improve the ductility of the structure.•Evaluation of the equivalent hysteretic damping coefficient.