Primarily intended for senior undergraduate and postgraduate students of civil, mechanical and aerospace aeronautical engineering, this book is useful resource for vibration and stress analysis professionals. It is an effort to highlight the importance of reliability in engineering computations. This text is specifically aimed at the audience with a background in vibrations and stress analysis. A major benefit of this book is a ready reckoner for theory and algorithms of various tools necessary for the practice of structural dynamics in addition to an in-depth discussion of finite element theory and estimation and control of errors in computations. This text proves tips for improving the quality of finite element solutions and the companion Dvd containing ready to use finite element applications.