# Finite Element Analysis: Theory and Application with ANSYS, 5th edition

• Saeed Moaveni

## Pearson eText Finite Element Analysis: Theory and Application with ANSYS -- Instant Access

ISBN-13:  9780135213537

eText 12-month access
Instant access
\$54.99
Instant access
\$54.99

### What's included with eText?

Pearson eText is an affordable, easy-to-use digital textbook. Read it on your computer, or download the mobile app to study on the go.

• Study anytime, anywhere

• Search by keyword or page number

## Overview

Finite Element Analysis: Theory and Application with ANSYS presents the theory of finite element analysis, explores its application as a design/modeling tool and explains in detail how to use ANSYS intelligently and effectively.

Preface

Acknowledgments

1 Introduction

1.1 Engineering Problems

1.2 Numerical Methods

1.3 A Brief History of the Finite Element Method and ANSYS

1.4 Basic Steps in the Finite Element Method

1.5 Direct Formulation

1.6 Minimum Total Potential Energy Formulation

1.7 Weighted Residual Formulations

1.8 Verification of Results

1.9 Understanding the Problem

Summary

References

Problems

2 Matrix Algebra

2.1 Basic Definitions

2.3 Matrix Multiplication

2.4 Partitioning of a Matrix

2.5 Transpose of a Matrix

2.6 Determinant of a Matrix

2.7 Solutions of Simultaneous Linear Equations

2.8 Inverse of a Matrix

2.9 Eigenvalues and Eigenvectors

2.10 Using MATLAB to Manipulate Matrices

2.11 Using Excel to Manipulate Matrices

2.12 Solutions of Simultaneous Nonlinear Equations

Summary

References

Problems

3 Trusses

3.1 Definition of a Truss

3.2 Finite Element Formulation

3.3 Space Trusses

3.4 Overview of the ANSYS Program

3.5 ANSYS Workbench Enviornment

3.6 Examples Using ANSYS

3.7 Verification of Results

Summary

References

Problems

4 Axial members, Beams, and Frames

4.2 Beams

4.3 Finite Element Formulation of Beams

4.4 Finite Element Formulation of Frames

4.5 Three- Dimensional Beam Element

4.6 An Example Using ANSYS

4.7 Verification of Results

Summary

References

Problems

5 One- Dimensional Elements

5.1 Linear Elements

5.3 Cubic Elements

5.4 Global, Local, and Natural Coordinates

5.5 Isoparametric Elements

5.7 Examples of One- Dimensional Elements in ANSYS

Summary

References

Problems

6 Analysis of One- Dimensional Problems

6.1 Heat Transfer Problems

6.2 A Fluid Mechanics Problem

6.3 An Example Using ANSYS

6.4 Verification of Results

Summary

References

Problems

7 Two- Dimensional Elements

7.1 Rectangular Elements

7.3 Linear Triangular Elements

7.5 Axisymmetric Elements

7.6 Isoparametric Elements

7.7 Two- Dimensional Integrals: Gauss–Legendre Quadrature

7.8 Examples of Two- Dimensional Elements in ANSYS

Summary

References

Problems

8 More Ansys

8.1 ANSYS Program

8.2 ANSYS Database and Files

8.3 Creating a Finite Element Model with ANSYS: Preprocessing

8.4 h- Method Versus p- Method

8.5 Applying Boundary Conditions, Loads, and the Solution

8.6 Results of Your Finite Element Model: Postprocessing

8.7 Selection Options

8.8 Graphics Capabilities

8.9 Error- Estimation Procedures

8.10 ANSYS Workbench Environment

8.11  An Example Problem

Summary

References

9 Analysis of Two- Dimensional Heat Transfer Problems

9.1 General Conduction Problems

9.2 Formulation with Rectangular Elements

9.3 Formulation with Triangular Elements

9.4 Axisymmetric Formulation of Three- Dimensional Problems

9.6 Conduction Elements used by ANSYS

9.7 Examples Using ANSYS

9.8 Verification of Results

Summary

References

Problems

10 Analysis of Two- Dimensional Solid Mechanics Problems

10.1 Torsion of Members with Arbitrary Cross- Section Shape

10.2 Plane- Stress Formulation

10.3 Isoparametric Formulation: Using a Quadrilateral Element

10.4 Axisymmetric Formulation

10.5 Basic Failure Theories

10.6 Examples Using ANSYS

10.7 Verification of Results

Summary

References

Problems

11 Dynamic Problems

11.1 Review of Dynamics

11.2 Review of Vibration of Mechanical and Structural Systems

11.3 Lagrange’s Equations

11.4 Finite Element Formulation of Axial Members

11.5 Finite Element Formulation of Beams and Frames

11.6 Examples Using ANSYS

Summary

References

Problems

12 Analysis of Fluid Mechanics Problems

12.1 Direct Formulation of Flow Through Pipes

12.2 Ideal Fluid Flow

12.3 Groundwater Flow

12.4 Examples Using ANSYS

12.5 Verification of Results

Summary

References

Problems

13 Three- Dimensional Elements

13.1 The Four- Node Tetrahedral Element

13.2 Analysis of Three- Dimensional Solid Problems Using Four- Node

13.3 The Eight- Node Brick Element

13.4 The Ten- Node Tetrahedral Element

13.5 The Twenty- Node Brick Element

13.6 Examples of Three- Dimensional Elements in ANSYS

13.7 Basic Solid- Modeling Ideas

13.8 A Thermal Example Using ANSYS

13.9 A Structural Example Using ANSYS

Summary

References

Problems

Tetrahedral Elements

14 Design and Material Selection

14.1 Engineering Design Process

14.2 Material Selection

14.3 Electrical, Mechanical, and Thermophysical Properties of Materials

14.4 Common Solid Engineering Materials

14.5 Some Common Fluid Materials

Summary

References

Problems

15 Design Optimization

15.1 Introduction to Design Optimization

15.2 The Parametric Design Language of ANSYS

15.3 Examples of Batch Files

Summary

References

Problems

Appendix A mechanical Properties of some materials

Appendix B thermophysical Properties of some materials

Appendix C Properties of Common line and Area shapes

Appendix D Geometrical Properties of structural steel shapes

Appendix E ANSYS Workbench Environment and Examples

Appendix F An introduction to MATLAB