Couplings are used to connect one shaft to another or to couple driving members and load members. The couplings are classified into rigid and flexible couplings. The types of couplings are Gear, Oldham, Universal and Elastic couplings. The problem of stress concentration effects in a spider type coupling is of concern.In a spider type coupling we have projections in the flanges. Due to these projections, stress concentrations effects are induced that are unknown in this spider type of coupling. So here, we try to find out the stress concentration effects to suggest a proper design procedure In this project, we vary the length of the protrusions and at the same time vary the angles between the rigid protrusions of the spider type couplings. The couplings are designed using modeling software PRO/ENGINEER WILDFIRE 3 and then it is imported to analysis software FEMAP NX NASTRAN for static analysis. The spider type coupling is given a constant torque, is analysed using FEM technique rather than mathematical or experimental method because the mesh is made sufficiently fine around the areas of geometric discontinuity or stress raiser. The analysis is performed using FEMAP with NX NASTRAN by constraining all the degrees of freedom in the driving shaft and then the torque is applied on the driven shaft in order to calculate the resultant stress. The analysis is carried out. The results are tabulated and graphically shown. Finally, the comparison is done with NASTRAN results and manually calculated results. © IDOSI Publications, 2013.