Higher Education


A First Course in the Finite Element Method, Enhanced Edition, SI Version, 6th Edition

Author(s): Daryl Logan

ISBN: 9789353507855

Edition: 6th

© Year : 2023


Binding: Paperback

Pages: 985

Trim Size : 241 x 181 mm

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Logan's "A FIRST COURSE IN THE FINITE ELEMENT METHOD, Enhanced 6th Edition, SI Version" offers a contemporary and accessible approach to understanding the basics of the finite element method (FEM). The book is designed to be easily comprehensible without the need for prerequisites like structural analysis. It is suitable for civil or mechanical engineering students interested in stress analysis and heat transfer, as well as those seeking a foundation for applying FEM to solve practical physical problems. The book includes new real-world examples and problems, demonstrating FEM applications in various engineering and mathematical physics fields. Each chapter follows a consistent structure with step-by-step examples, making it suitable for undergraduate and graduate-level study.

  • Real-world examples and problems clarify concepts and illustrate the latest developments and applications in the field.
  • A large variety of examples demonstrate how the Finite Element Method (FEM) can be applied in diverse engineering and mathematical physics disciplines.
  • The graphical method is presented for deriving transformation matrices relating local and global displacements and forces.
  • Chapter objectives and end-of-chapter summary equations enhance understanding and help students focus on key concepts.
  • The clear presentation is ideal for those new to the field, without assuming an extensive background in structural analysis.
  • The practical, consistent structure of each chapter ensures student understanding, progressing from basic to advanced topics.
  • Extensive appendices provide additional support for review or advanced study, covering matrix algebra, solution methods, and properties of structural materials.
  • Step-by-step completed examples demonstrate correct methodology and application of essential concepts.
  1. Introduction
  2. Introduction to the Stiffness (Displacement) Method
  3. Development of Truss Equations
  4. Development of Beam Equations
  5. Frame and Grid Equations
  6. Development of the Plane Stress and Strain Stiffness Equations
  7. Practical Considerations in Modeling: Interpreting Results and Examples of Plane Stress-Strain Analysis
  8. Development of the Linear-Strain Triangle Equations
  9. Axisymmetric Elements
  10. Isoparametric Formulation
  11. Three-Dimensional Stress Analysis
  12. Plate Bending Element
  13. Heat Transfer and Mass Transport
  14. Fluid Flow in Porous Media and Through Hydraulic Networks; and Electrical Networks and Electrostatics
  15. Thermal Stress
  16. Structural Dynamics and Time-Dependent Heat Transfer

Appendices: A, B, C, D, E, F

Answers to Selected Problems



Daryl L. Logan

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.