Structural discontinuities, arising from abrupt changes in the cross-sectional shape of structural sections, pose challenges in various scenarios within structural sections. Analyzing stress distributions in these situations often necessitates resource-intensive and time-consuming methods. This paper presents an object-oriented programming (OOP) approach for analyzing two-dimensional plane stress problems, focusing on a bracket plate section. The developed program accurately estimates stress values at four integration points and offers significant advantages in terms of efficiency and accuracy. Validation of the program’s results against commercial Finite Element Analysis (FEA) software demonstrates minimal error percentages, attesting to its precision. Additionally, a mesh viewer program enhances visualization capabilities, accommodating both quadrilateral and triangular meshes. This study employs OOP techniques to address structural discontinuity challenges, contributing to a deeper understanding of structural issues and enabling more effective analysis and solutions.