A First Course in the Finite Element Method

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

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: I so parametric 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 0N Shapes)

Answers to Selected Problems

About the Author

Dr. Daryl L. Logan is professor of mechanical engineering at the University of Wisconsin-Platteville. He received his Ph.D. from the University of Illinois-Chicago. He has been an active member of the American Society of Mechanical Engineers (ASME), Tau Beta Pi – National Honor Society and the American Society for Engineering Education (ASEE). Dr. Logan holds a professional engineer’s license in the state of Indiana.