In this study, we computationally examine the biomechanics of a cerebral aneurysm (CA) using a two-way Fluid-Structure Interaction (FSI) approach. The integrated approach using computational fluid dynamics (CFD) and computational solid dynamics (CSD) aims to connect the intra-aneurysmal environment and the rupture process and assess the risk of aneurysm rupture. The velocity distribution and the wall shear stress (WSS) were calculated within these aneurysms. The dynamic response of cerebral aneurysms was predicted using CSD. We conducted parametric analyses based on CA aspect ratio (AR) and viscosity sensitivity analysis to allow easier exploration of their effects. The findings demonstrate that velocity values decrease as aneurysm size increases, associated with the drop in WSS. Results demonstrated how the wall deformation associated with the growth of CA aspect ratios causes strain and raises the danger of aneurysm rupture.