The Finite Element Method in Engineering, Fifth Edition, provides a complete introduction to finite element methods with applications to solid mechanics, fluid mechanics, and heat transfer. Written by bestselling author S.S. Rao, this book provides students with a thorough grounding of the mathematical principles for setting up finite element solutions in civil, mechanical, and aerospace engineering applications. The new edition of this textbook includes examples using modern computer tools such as MatLab, Ansys, Nastran, and Abaqus.
This book discusses a wide range of topics, including 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 of fluid mechanics; inviscid and irrotational flows; solution of quasi-harmonic equations; and solutions of Helmhotz and Reynolds equations. New to this edition are examples and applications in Matlab, Ansys, and Abaqus; structured problem solving approach in all worked examples; and 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. All figures are revised and redrawn for clarity.
This book will benefit professional engineers, practicing engineers learning finite element methods, and students in mechanical, structural, civil, and aerospace engineering.
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.
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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- © Butterworth-Heinemann 2011
- 17th November 2010
- Hardcover ISBN:
- eBook ISBN:
Mechanical Design, Optimization and Reliability in Mechanical and Structural Design, Finite Element methods, Structural Dynamics.
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.
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
Department of Mechanical and Aerospace Engineering, University of Miami, Coral Gables, FL, USA