Multiaxial fatigue failures often happens along driveline and suspension notched components of off-road ground vehicles. Fatigue life prediction of such notched components requires detailed knowledge of local stresses and strains at notch regions. The notched components that are often subject to multiaxial loadings in services experience complex stress and strain responses. Fatigue life assessment of the components utilizing non-linear Finite Element Analysis (FEA) require impractically long computation times and excessive data storage. The lack of more efficient and simpler methods of elastic-plastic stress-strain analysis may lead to the overdesign or earlier failures of the components or costly experiments and inefficient non-linear FEA. An approximate computational model is developed to calculate actual elasto-plastic stress-strain responses of notched components using linear-elastic FEA solution. The model is based on the integration of the material constitutive theory and the multiaxial notch correction method along with computational modeling techniques. The computation model is validated using non-linear FEA data of 1070 steel notched shaft subjected to multiaxial loadings. The comparison showed that the model predicted notch elasto-plastic stresses and strains with good accuracy using linear-elastic FEA stresses as a load input. The model is further assessed against experimental fatigue data of SAE 1045 steel notched shaft under multiaxial loadings. Calculated notch stresses and strains have been subsequently used to perform fatigue life predictions and predicted lives showed a good agreement with experimental data of SAE 1045 steel notched shafts. The model provides a simple and efficient method to estimate the actual stress and strain responses at notches and to use with the fatigue analysis methods to estimate the fatigue life associated with the local material deformation. The effect of changes in material, geometry and loads on the durability can then be assessed in a short time frame in engineering applications to design safe and economical products.