The prediction of the deformations that a body subjected to any stress will undergo is an essential part of the design and production process of any object. It directly influences various aspects of the design, manufacturing, and final use of a product. This thesis will focus on studying the deformations experienced by a pressure vessel during pressurization and depressurization phases, analyzing them first from a theoretical perspective, then through simulation software, and finally comparing these results with those obtained experimentally in the laboratory. The vessel used as a case study is provided by Baglioni S.p.A.