# The Finite Element Method in Engineering

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.

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

Hardbound, 726 Pages

Published: November 2010

Imprint: Butterworth Heinemann

ISBN: 978-1-85617-661-3

## 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.