Synopses & Reviews
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.
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
Synopsis
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
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.