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A First Course in the Finite Element Method

By Daryl L. Logan

6th Edition © 2017
Discipline:Engineering
Course:Mechanical and Aerospace Engineering
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Provide a simple, direct approach that highlights the basics with A FIRST COURSE IN THE FINITE ELEMENT METHOD, 6E. This unique book is written so both undergraduate and graduate students can easily comprehend the content without the usual prerequisites, such as structural analysis. The book is written primarily as a basic learning tool for the undergraduate students in civil and mechanical engineering who are primarily interested in stress analysis and heat transfer. The text offers ideal preparation for students who want to apply the finite element method as a tool to solve practical physical problems.

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AboutTable of contentsResourcesPricing & formatsRelated products

About this product

Provide a simple, direct approach that highlights the basics with A FIRST COURSE IN THE FINITE ELEMENT METHOD, 6E. This unique book is written so both undergraduate and graduate students can easily comprehend the content without the usual prerequisites, such as structural analysis. The book is written primarily as a basic learning tool for the undergraduate students in civil and mechanical engineering who are primarily interested in stress analysis and heat transfer. The text offers ideal preparation for students who want to apply the finite element method as a tool to solve practical physical problems.

CHAPTER OBJECTIVES AND END-OF-CHAPTER SUMMARY EQUATIONS INCREASE UNDERSTANDING. Chapter objectives help students know what content to focus on and retain. Key summary equations help students review what they have learned.

PRESENTATION IS IDEAL FOR THOSE NEW TO THE FIELD. Written as a basic learning tool for students in civil and mechanical engineering, this edition does not presume an extensive background in structural analysis. Math is presented in a simple and straightforward manner to maximize comprehension.

PRAGMATIC AND CONSISTENT STRUCTURE ENSURES UNDERSTANDING. Topics progress from basic to advanced as each chapter follows a similar structure and format. General principles are presented for each topic, followed by traditional applications of these principles as well as computer applications, where relevant.

EXTENSIVE APPENDICES OFFER ADDITIONAL INFORMATION FOR REINFORCEMENT AND ADVANCED STUDY. Helpful appendices include basic matrix algebra (used throughout the text), solutions methods for simultaneous equations, equations from elasticity theory, equivalent nodal forces, the principle of virtual work, and properties of structural steel and aluminum shapes.

Table of contents

Chapters

Cover Page
Title Page
Copyright Page
Preface
Acknowledgments
Notation
Chapter 1. Introduction*Preview this chapter
Chapter 2. Introduction to the Stiffness (Displacement) Method
Chapter 3. Development of Truss Equations
Chapter 4. Development of Beam Equations
Chapter 5. Frame and Grid Equations
Chapter 6. Development of the Plane Stress and Plane Strain Stiffness Equations
Chapter 7. Practical Considerations in Modeling; Interpreting Results; and Examples of Plane Stress/Strain Analysis
Chapter 8. Development of the Linear-Strain Triangle Equations
Chapter 9. Axisymmetric Elements
Chapter 10. Isoparametric Formulation
Chapter 11. Three-Dimensional Stress Analysis
Chapter 12. Plate Bending Element
Chapter 13. Heat Transfer and Mass Transport
Chapter 14. Fluid Flow in Porous Media and through Hydraulic Networks; and Electrical Networks and Electrostatics
Chapter 15. Thermal Stress
Chapter 16. Structural Dynamics and Time-Dependent Heat Transfer
Appendix A. Matrix Algebra
Appendix B. Methods for Solution of Simultaneous Linear Equations
Appendix C. Equations from Elasticity Theory
Appendix D. Equivalent Nodal Forces
Appendix E. Principle of Virtual Work
Appendix F. Properties of Structural Steel Shapes
Conversion Factors U.S. Customary Units to SI Units
Properties of Plane Areas
Properties of Solids
Physical Properties in SI and USCS Units
Typical Properties of Selected Engineering Materials
Full-Color Insert
Show more

Chapter 1. IntroductionPreview this chapter ↗

1.1
Brief History ↗
1.2
Introduction to Matrix Notation ↗
1.3
Role of the Computer ↗
1.4
General Steps of the Finite Element Method
Preview this section ↗
Direct Methods ↗
Variational Methods ↗
Weighted Residual Methods ↗
Direct Equilibrium Method ↗
Work or Energy Methods ↗
Weighted Residuals Methods ↗
1.5
Applications of the Finite Element Method ↗
1.6
Advantages of the Finite Element Method ↗
1.7
Computer Programs for the Finite Element Method ↗
Problems ↗

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