The single-layer reticular aluminum dome has gained popularity in the fabrication industry of domes for trough roofs owing to its numerous advantages, including its lightweight nature, durability, affordability, ease of assembly and disassembly, as well as convenient maintenance. The objective of this study was to simulate and analyze domes designed on the basis of the test standards specified in the American Petroleum Institute’s API Standard 650: Appendix G, which pertains to single-layer reticulated aluminum domes, and to ensure compliance with its requirements. Two types of vault were designed with varying dimensions and methods of connecting groove walls. To assess the structural integrity of the domes, finite element analysis was performed. Both vault designs were subjected to six different load combinations to determine if the material would fail owing to insufficient yield strength. The primary focus of this research is on the vault structure’s design and finite element analysis. Following the compilation of design points, a three-dimensional model of the vault was created. The stress and deformation of the vault were simulated using the finite element analysis software ANSYS Workbench, considering various conditions. The stress and deformation analyses indicated that both vault designs successfully met the criteria outlined in the code.