The goal is to learn more about how a geometric gap between a cylindrical or spherical shell and a reinforcing pad influences stress intensity at the nozzle penetration while the pressure vessel is under internal pressure. In a number of tanks, pressure vessels, and other vessels, nozzles serve as the input and outflow for process and cooling fluid. Various applications such as heat exchangers to make the Nozzle hole in the shell, the shell strength may be lowered. To boost strength and prevent failure, a reinforcement pad is used at the nozzle junction. As a result, the shell nozzle. A multitude of factors are considered when determining whether or not a pad is necessary at the junction. If a pad is needed, the thickness and diameter are estimated using ASME standards. The stress created at the junction is also calculated using a finite element analysis (FEA) of the junction. The magnitudes and distributions of the local stresses induced by the geometric discontinuity and internal pressure loading are thus uncertain. For a variety of reasons, perfect contact between the shell and the pad cannot be maintained, resulting in a gap. The effect of the gap on the stresses in the nozzle reinforcement region is of interest to both designers and manufacturers.