The Finite Element Method in Engineering

5th Edition

Authors: Singiresu Rao
Hardcover ISBN: 9781856176613
eBook ISBN: 9780080952048
Imprint: Butterworth-Heinemann
Published Date: 17th November 2010
Page Count: 726
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Finite Element Analysis is an analytical engineering tool originated by the Aerospace and nuclear power industries to find usable, approximate solutions to problems with many complex variables. It is an extension of derivative and integral calculus, and uses very large matrix arrays and mesh diagrams to calculate stress points, movement of loads and forces, and other basic physical behaviors. Rao provides a thorough grounding of the mathematical principles for setting up finite element solutions in civil, mechanical, and aerospace engineering applications. The new edition includes examples using modern computer tools such as Matlab, Ansys, Nastran, and Abaqus.

Professional engineers will benefit from the introduction to the many useful applications of finite element analysis, and will gain a better understanding of its limitations and special uses.

Key Features

New to this edition:
Examples and applications in Matlab, Ansys, and Abaqus
Structured problem solving approach in all worked examples
New discussions throughout, including the direct method of deriving finite element equations, use of strong and weak form formulations, complete treatment of dynamic analysis, and detailed analysis of heat transfer problems

More examples and exercises
All figures revised and redrawn for clarity


Students in mechanical, structural, civil, and aerospace engineering. Practicing engineers learning finite element methods.

Table of Contents

Overview of the Finite Element Method, Discretization of the Domain, Interpolation Models, Higher Order and Isoparametric Elements, Derivation of Element Matrices and Vectors, Assembly of Element Matrices and Vectors and Derivation of System Equations, Numerical Solution of Finite Element Equations, Basic Equations and Solution Procedure, Analysis of Trusses, Beams and Frames, Analysis of Plates, Analysis of 3-Dimensional Problems, Dynamic Analysis, Formulation and Solution Procedure, 1-Dimensional Problems, 2-Dimensional Problems, 3-Dimensional Problems, Basic Equations of Fluid Mechanics, Inviscid and Irrotational Flows, Viscous and Non-Newtonian Flows, Solution of Quasi-Harmonic Equations (WEB chapter), Solution of Helmhotz Equation (WEB chapter), Solution of Reynolds Equation (WEB chapter), Appendix A: Green Gauss Theorem. Appendix B: Use of Commercial Software: ANSYS, ABAQUS, and NASTRAN.


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About the Author

Singiresu Rao

Mechanical Design, Optimization and Reliability in Mechanical and Structural Design, Finite Element methods, Structural Dynamics. RESEARCH/SPECIALIZATION: 1. Multi-objective optimization. 2. Uncertainty models in engineering analysis, design and optimization. 3. Reliability based design. 4. Finite element and meshfree methods. 5. Optimization and reliability of renewable energy systems. BOOKS PUBLISHED: The Finite Element Method for Engineers, 5e, Elsevier, 2010; Mechanical Vibrations, 6th Edition, Pearson, 2016; Engineering Optimization Theory and Practice, 4th Edition, Wiley, 2009; Reliability Engineering, 1st Edition, Pearson, 2014

Affiliations and Expertise

Department of Mechanical and Aerospace Engineering, University of Miami, Coral Gables, FL, USA