# MATLAB Guide to Finite Elements: An Interactive Approach

Springer Science & Business Media, 2003 - Computers - 385 pages
This book explores the numerical implementation of Finite Element Analysis using the computer program MATLAB, which is very popular today in engineering and engineering education. The book contains a short tutorial on MATLAB as well as a systematic strategy for the treatment of finite element methods. Useful to both students and researchers in engineering, it provides various examples and exercises from mechanical, civil and aerospace engineering, as well as from materials science. The book especially stresses the interactive use of MATLAB, with each example solved in an interactive manner. The accompanying CD-ROM includes more than fifty MATLAB functions specifically written to be used with this book in the form of a MATLAB Finite Element Toolbox. An extensive solutions manual is provided as well, which includes detailed solutions to all the problems in the book for classroom use.

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### Contents

 Introduction 1 12 MATLAB Functions for Finite Element Analysis 2 13 MATLAB Tutorial 4 The Spring Element 11 22 MATLAB Functions Used 12 The Linear Bar Element 27 32 MATLAB Functions Used 28 The Quadratic Bar Element 44
 92 MATLAB Functions Used 171 The Space Frame Element 187 102 MATLAB Functions Used 189 The Linear Triangular Element 211 112 MATLAB Functions Used 213 The Quadratic Triangular Element 242 122 MATLAB Functions Used 244 The Bilinear Quadrilateral Element 267

 42 MATLAB Functions Used 45 The Plane Truss Element 60 52 MATLAB Functions Used 61 The Space Truss Element 89 62 MATLAB Functions Used 90 The Beam Element 106 72 MATLAB Functions Used 107 The Plane Frame Element 133 82 MATLAB Functions Used 135 The Grid Element 170
 132 MATLAB Functions Used 270 The Quadratic Quadrilateral Element 303 142 MATLAB Functions Used 306 The Linear Tetrahedral Solid Element 329 152 MATLAB Functions Used 332 References 359 Answers to Problems 361 Contents of the Accompanying CDROM 381 Index 383 Copyright