Residual stresses in the Zr-2.5Nb pressure tube (PT) significantly affect its resistance to hydride embrittlement. This work aims to study the influence of residual stresses on hydride embrittlement using a model formulated for the delayed hydride cracking (DHC) mechanism. The DHC model includes transient hydrogen diffusion and hydride precipitation. The model is implemented using the extended finite element method (XFEM) that is validated with the analytical and numerical solutions available in the literature. Two different variations of residual stresses at different locations of PT available in the literature are used for this study. The results show that high tensile residual stresses in the PT help hydride growth and reduce the failure time.