The Finite Element Method in Engineering, Fourth Edition

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Finite Element Analysis is an analytical engineering tool developed in the 1960's 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. Students will find in this textbook a thorough grounding of the mathematical principles underlying the popular, analytical methods for setting up a finite element solution based on those mathematical equations. It quickly bridges that knowledge to a host of real-world applications--from structural design, to problems in fluid mechanics and thermodynamics. 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:?· New sections added on the assemblage of element equations, and an important new comparison between finite element analysis and other analytical methods.showing advantages and disadvantages of each?· Updated solutions manual available ?· Improved sample and end-of-chapter problems * The only book to provide a broadoverview of the underlying principles of finite element analysis and where it fits into the larger context of other mathematically based engineering analytical tools.* New sections added on the assemblage of element equations, and an important new comparison between finite element analysis and other analytical methods, showing the advantages and disadvantages of each.* New Companion website that will host usable finite element programs and sample engineering problems, as well as a Solutions Manual for end-of-chapter problems.

Author(s): Singiresu S. Rao
Edition: 4
Publisher: Butterworth-Heinemann
Year: 2004

Language: English
Pages: 688

Cover.pdf......Page 1
Preface.pdf......Page 2
Principal Notation.pdf......Page 4
Table of Contents.pdf......Page 9
1 - Overview of Finite Element Method.pdf......Page 11
2 - Discretization of the Domain.pdf......Page 58
3 - Interpolation Models.pdf......Page 85
4 - Higher Order and Isoparametric Elements.pdf......Page 118
5 - Derivation of Element Matrices and Vectors.pdf......Page 167
6 - Assembly of Element Matrices and Vectors and Derivation of System Equations.pdf......Page 214
7 - Numerical Solution of Finite Element Equations.pdf......Page 235
8 - Basic Equations and Solution Procedure.pdf......Page 282
9 - Analysis of Trusses, Beams, and Frames.pdf......Page 312
10 - Analysis of Plates.pdf......Page 360
11 - Analysis of Three-Dimensional Problems.pdf......Page 402
12 - Dynamic Analysis.pdf......Page 424
13 - Formulation and Solution Procedure.pdf......Page 468
14 - One-Dimensional Problems.pdf......Page 483
15 - Two-Dimensional Problems.pdf......Page 515
16 - Three-Dimensional Problems.pdf......Page 534
17 - Basic Equations of Fluid Mechanics.pdf......Page 555
18 - Inviscid and Incompressible Flows.pdf......Page 573
19 - Viscous and Non-Newtonian Flows.pdf......Page 592
20 - Solution of Quasi-Harmonic Equations.pdf......Page 616
21 - Solution of Helmholtz Equation.pdf......Page 637
22 - Solution of Reynolds Equation.pdf......Page 645
Appendix A - Green-Gauss Theorem.pdf......Page 652
Index.pdf......Page 654