This study presents a comprehensive examination of the glass systems consisting of TeO2, ZnO, Bi2O3, and Nb2O5. The objective is to assess their suitability as radiation shielding materials and analyze their mechanical characteristics. Analysis of TZBN1's mass attenuation coefficients (MAC) was conducted using FLUKA modeling and XCOM. The findings indicated that TZBN1 had the highest Mean Absolute Change (MAC) at low energy levels (0.02 MeV), measured 38.547 cm2/g. These findings suggest that TZBN1 has a more favorable photoelectric effect interaction. Over energies beyond 20 MeV, TZBN4 has exceptional performance in comparison to other samples, with a mass attenuation coefficient (MAC) of 0.043996 cm2/g. These findings suggest an improved capacity to provide protection against high-energy photons. The density of the glass substrates is an essential factor, and TZBN4 exhibits a peak density of 6.15 g/cm³. Consequently, it exhibits a reduced gamma-ray transmission factor (TF), thereby underscoring its efficacy in mitigating gamma radiation. Based on the Makishima and Mackenzie model, TZBN1 exhibits the greatest Young's Modulus, measured at around 814.67 kJ/mol per PD. These findings suggest that TZBN1 exhibits the highest level of mechanical strength and stiffness among the glasses examined. In contrast, TZBN4 exhibits the lowest Young's Modulus of 453.47 kJ/mol per PD, making it potentially appropriate for certain applications that need flexibility. The results underscore the importance of glass chemical composition in tailoring materials for radiation protection and mechanical robustness. The glasses composed of TeO2, ZnO, Bi2O3, and Nb2O5, namely TZBN4, are regarded as very promising for applications that need efficient shielding against high-energy photons, while also providing material flexibility and strength. This paper presents a substantial framework for selecting and creating glass materials for the goal of providing safe shielding in the domains of medicine, industry, and nuclear facilities.