As rails are vital parts of a track system, it is essential to ensure their safe and reliable operation. The present verification approaches and limit values regarding the permissible additional stresses of the rail under compression and tension considering track-bridge-interaction (TBI) were developed in the 1980s. However, with the rapid development of the railway industry and the increasing of train speeds, rail infrastructures are subjected to ever more frequent, greater loads and more complicated loading conditions, especially in the area of bridges. Moreover, the manufacturing technologies of railway components have been further developed. Taking all the aforementioned variations into account, the current verification approaches and limit values do not apply properly today and shall be updated. For this purpose, new investigations are carried out in this dissertation. As major parts of this cumulative dissertation, the published investigations are divided into three main blocks. The first block is the state of the art. In this block, a detailed background knowledge and a state of the art description of the permissible additional stresses in railway tracks due to TBI are given. Furthermore, the motivation for the studies within the scope of this dissertation is addressed. The second block deals with the rail resistance under compressive forces in ballastless track systems. Accordingly, numerical investigations on the behaviour of rails in ballastless track systems under compressive axial forces in the vicinity of bridge joints were performed. Experimental tests were also carried out on two 8.17 m long rails fixed with BSPFF-B-1 and SBS300-1 fasteners on the ÖBB-Porr slab track system. It was found that the rail resistance under longitudinal compressive loads can be largely increased. The third block focuses on the rail resistance under tension. First, extensive experiments were conducted on rail behaviour for up to five million cyclic loads in both vertical and transverse directions under different minimum stress levels. Subsequently, the sectioning method and the X-Ray diffraction method were applied to determine the residual stress distribution in the rail. Afterwards, the determined residual stress results and the fatigue test results are analysed together. As a result, a new comprehensive Smith-diagram, which took into account the actual rail residual stresses, up to five million load cycles in both vertical and transverse directions of the rail, was achieved. In addition, two studies are supplemented. One deals with the fatigue behaviour of rails for up to 50 million load cycles and the other concerns the fatigue behaviour of rails from a different batch for up to five million load cycles. Based on all these aforementioned investigations, it is concluded that the current limit values and approaches regarding the rail resistance in ballastless track systems under compression and tension considering TBI are too conservative. In the end, new verification approaches and limit values are proposed.