The dataset is produced by running a series of 360 simulations using the in-house code ALMA (Analisi Limite Murature Attritive) that implements the upper bound approach of limit analysis to detect the collapse multiplier and mechanism for masonry structures. This set of data contains the results of 120 simulations achieved for the multi-ring masonry arches for span of 5m with different level of parameters considered, namely size of blocks, span of the arch, ring number, interlocking coefficient and the friction angle. In order to simplify references to figures an acronym system is used and it follows a sequence of "size_span_ring_interlock_friction". Size takes attributes as S-small and B-big while span takes number attributes based on the span like S3, S5, S7 for spans of 3, 5 and 7 meters, respectively. Ring number similarly is based on the number of rings as R2, R3, R4 and R5 and interlock takes the following attributes, I00, I15, I35 and I50 for the interlocking percentage considered such that 00-stacked, 15%, 35% and 50%, respectively. Finally friction takes attributes following the angle of friction such as F25—low level, F30—medium level, and F35—high level. The acronym used for the equivalent one-ring arches is used as simply EQ. For example, the acronym “S_S7_R4_I35_F30" refers to the arch with small blocks, span of 7 meters, consisting of 4 rings and by blocks interlocked at 35% with a joint friction of 30o. This database contains a *.txt, a *.vtk and a *.png file. In the .txt file the elapsed time and the collapse multiplier of each simulation can be found. The .vtk file contains all the geometry and displacement values of every masonry panel. Finally, the .png file presents the collapse mechanism obtained.