This document summarizes the analysis and optimization of saddle supports for a pressure vessel. Three iterations of saddle design were analyzed using finite element analysis in ANSYS. The initial design had two vertical ribs and a center web, which resulted in the lowest stress of 31 MPa but highest factor of safety of 8.39. Subsequent designs removed structural elements to reduce weight, with the final design having only two side webs achieving a stress of 40 MPa but lower factor of safety of 6.38. While weight increased with each iteration, the optimizations reduced the over-design of the initial structure. Further modifications are recommended to reduce weight, such as adding patterns or holes to lower-stressed areas of the saddle.