Vibration Analysis is an important subject to Mechanical Engineering of Masters Degree,Degree and Diploma students. One has to understand the basics of Vibrations and analysis of any component before designing and manufacturing.Particular care has been taken to draw diagrams to scale correctly. The Results are compared with analytical ones wherever possible. From the present analysis, following conclusions are drawn 1)The vibration and stress analysis of blade is done. The results of finite element method for natural frequencies and stress analysis are very close to the analytical method results. 2)The failure analysis of holed blade is done. The insertion of a hole in the turbine blade results decrease in the life cycle of the turbine blade. 3)The failure analysis of tapered and twisted blade with hole is done. Tapering and twisting increases the life cycle of the blade. 4)The failure analysis of complex bladed disk is done. The life cycle of the bladed disk is less then single blade life. 5)5)The results of the analysis showed that the root of the turbine blade is a critical portion from fatigue failure point of view.