A First Course in the Finite Element Method

Description

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. 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 Plane 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 A. Matrix Algebra B. Methods for Solution of Simultaneous Linear Equations C. Equations from Elasticity Theory D. Equivalent Nodal Forces E. Principle of Virtual Work F. Properties of Structural Steel Shapes