Pressure vessels are an important part of the industrial world and therefore hold a special interest from mechanical engineers. The main objective of using the pressure vessels are used as containers to contain many of materials such as: liquids, air, gases, chemical compounds and fuel. In this study, a horizontal pressure vessel holding 10 m3 of pressurized Liquid Propane Gas (LPG) is designed, modeled, simulated and analyzed by following the American Society of Mechanical Engineers (ASME) standard for the design as well as using ANSYS Static Structural for the modeling and simulation. The pressure vessel in this study is cylindrical with two elliptical heads, four nozzles, a manway and two saddles. Results have shown that the design was safe from failure and therefore, results are accepted. Results show that the highest stresses are experienced by the manway followed by the shell, while the heads, nozzles and saddles experienced the lowest stresses. Results also showed that the total deformation generally increases the further the component is from the saddle.