The preceding to this study was a finite element analysis (FEA) of transient temperature fields in a disk brake. In this paper a FE model to determine corresponding quasi-static stresses in a such tribosystem is proposed. Numerical simulation of a single braking process for the 2D axisymmetric model of the brake disk was carried out. It was assumed that the contact pressure on the friction surfaces is constant, and the angular speed decreases linearly. Evolutions and spatial distributions of the components of the stress tensor and the equivalent Huber-Mises stress in the disk were analyzed.