A First Course in the Finite Element Method, Enhanced Edition, SI Version

Daryl Logan

• Publisher: Cengage Learning EMEA
• Year: 2022
• eBook ISBN: 9780357676646
• Edition: 0
• Topic: Technology & Engineering
• Subtopic: Mechanical Engineering
• Index: Technology & Engineering

Gain a clear understanding of the basics of the finite element method (FEM) with this simple, direct, contemporary approach in Logan's A FIRST COURSE IN THE FINITE ELEMENT METHOD, Enhanced 6th Edition, SI Version. This unique presentation is written so you can easily comprehend content without the usual prerequisites, such as structural analysis. This book is ideal, whether you are a civil or mechanical engineering student primarily interested in stress analysis and heat transfer, or you need a foundation for applying FEM as a tool in solving practical physical problems. New and expanded real-world examples and problems demonstrate FEM applications in a variety of engineering and mathematical physics-related fields. Each chapter uses a consistent structure with step-by-step, worked-out examples, ideal for undergraduate or graduate-level study. A new WebAssign digital platform provides additional online resources to clarify concepts and assist you in completing assignments.

Table of contents

• Cover
• Contents
• Preface to the SI Edition
• Preface
• Digital Resources
• Notation
• Chapter 1: Introduction
• 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: Geometric Properties of Structural Steel Wide-Flange Sections (W Shapes)
• Answers to Selected Problems
• Index