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The Finite Element Method in Engineering,

Edition 5

Editors: By Singiresu S. Rao, Ph.D., Case Western Reserve University, Cleveland, OH

Publication Date: 17 Nov 2010

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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.

Key Features

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

About the author

By Singiresu S. Rao, Ph.D., Case Western Reserve University, Cleveland, OH, Department of Mechanical and Aerospace Engineering, University of Miami, Coral Gables, FL, USA

Overview of the Finite Element MethodDiscretization of the DomainInterpolation ModelsHigher Order and Isoparametric ElementsDerivation of Element Matrices and VectorsAssembly of Element Matrices and Vectors and Derivation of System EquationsNumerical Solution of Finite Element EquationsBasic Equations and Solution ProcedureAnalysis of Trusses, Beams and FramesAnalysis of PlatesAnalysis of 3-Dimensional ProblemsDynamic AnalysisFormulation and Solution Procedure1-Dimensional Problems2-Dimensional Problems3-Dimensional ProblemsBasic Equations of Fluid MechanicsInviscid and Irrotational FlowsViscous and Non-Newtonian FlowsSolution of Quasi-Harmonic Equations (WEB chapter)Solution of Helmhotz Equation (WEB chapter)Solution of Reynolds Equation (WEB chapter)Appendix A: Green Gauss TheoremAppendix B: Use of Commercial Software: ANSYS, ABAQUS, and NASTRAN

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