The project is a research on liquid methane. It is stored in a standing and static pressure vessel specially calculated for cryogenic purposes. All the simulations have been done using the finite element method. The finite element method (FEM) or finite element analysis (FEA) is a numerical technique to find approximate solutions for partial differential equations and it is used to simulate the strength of materials. FEM allows the user to visualize the distribution of stresses and displacements. There is a wide range of software to do FEM simulations, the software chosen for the project is Pro/Engineer Wildfire 4.0. Pro-Engineer is a CAD/CAM/CAE software developed by Parametric Technology Corporation (PTC). It provides solid modeling, assembly modeling and finite element analysis. The results obtained in the mechanical analysis executed with the application Pro-mechanica show that the designed container holds the loads applied and stands stable. The thermal analysis of the insulation verifies that the amount of heat exchanged with the environment is on acceptable levels. Finally, to protect the integrity of the structure the proper paints have been selected.