In this study, the stress fields of a welded beam track under the influence of a wheel-rail weld force are explored using a finite element model assembly of a weld wheel contact system which has been built on ANSYS space-claim. Practical observations have been shown that semi-elliptical type of cracks are most of the reason to failure of a weld thus a 3-D semi-elliptical type of crack has been induced on the bottom of the rail having transverse direction propagation. Simulation was performed using singular elemental method with ANSYS mechanical workbench for stress field singularity and transverse pattern of crack propagation on the bottom of the rail weld has been observed. The crack analysis and simulation tool in ANSYS workbench provides three modes of stress intensity factors where Mode-I factor KI shows increase in its value with increase in wheel force on its rail-weld contact under each type of forces i.e. vertical, lateral and longitudinal, and if there is an increase in the lateral force the KI took its maximum value. Now if we increase the vertical force the rest of two intensity factors KII and KIII shows a decreasing tendency. It has been observed also that if the longitudinal and lateral forces raised simultaneously both KII and KIII increases in magnitude. The amplitude of KI at the tip side of crack on welds outer edge is greatest within the Stress Intensity Factor of the crack tip, whereas the peak of KII and KIII on the crack-tip of weld centerline seems the highest in the range of Stress Intensity Factor.