applied sciences Article Graphical and Analytical Quantitative Comparison in the Domes Assessment: The Case of San Francesco di Paola Concetta Cusano 1,*,†, Andrea Montanino 2,† , Carlo Olivieri 3,† , Vittorio Paris 4,† and Claudia Cennamo 1,† 1 Department of Architecture and Industrial Design, Universitá degli Studi della Campania “Luigi Vanvitelli”, Abbazia di San Lorenzo in Septimum, 81031 Aversa (CE), Italy;
[email protected] 2 Department of Structures for Engineering and Architecture, Università degli Studi di Napoli “Federico II”, Via Claudio 21, 80143 Napoli (NA), Italy;
[email protected] 3 Department of Civil Engineering, DICIV, Università degli Studi di Salerno, Via Giovanni Paolo II 132, 84084 Fisciano (SA), Italy;
[email protected] 4 Department of Engineering and Applied Sciences, Università degli Studi di Bergamo, Via G. Marconi 5, 24044 Dalmine (BG), Italy;
[email protected] * Correspondence:
[email protected] † These authors contributed equally to this work. Abstract: (1) Methods for checking the condition of monumental masonry structures can still be considered understudied. Among the different approaches available in the literature, the graphical ones have a special role, due to their simplicity and effectiveness. (2) In this work, a 2D method (Thrust Line Analysis (TLA)), the Modified Thrust Line Method (MTLM), and the 3D Membrane Equilibrium Analysis (MEA) method are compared. All methods have the same starting concept: no tensile strength, no sliding between the stone blocks, infinite compressive strength. (3) The methods are compared in terms of stress distribution (for the same—or similar—thrust line), and in terms Citation: Cusano, C.; Montanino, A.; Olivieri, C.; Paris, V.; Cennamo, C.