A spherical, internally pressurized vessel with cylindrical flush nozzle outlet is analyzed in a parametric, linear displacement based finite element scheme. Geometric effects of outer convex radius design on the whole vessel body are investigated. An inside sharp corner where spherical section is joined with the flush nozzle outlet contributes to stress as well as degree of curvature in the outer convex radius. Stress and deformation states exhibit material, geometry and internal pressure level dependencies. An important feature of the method, mesh convergence, is also validated for reliability of the results. Severe stress distributions and strain accumulations can be reduced through controlling outer geometric parameters. Materials having diverse mechanical properties such as carbon steel. Ti-Al-V alloy, near-eutectic Sn63-Pb37 solder alloy, and Nylon 66 are used for the vessel structure to reveal material dependence. Lower order elements are recommended for computational analysis.