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A First Course in the Finite Element Method

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Item specifics

Condition
Acceptable: A book with obvious wear. May have some damage to the cover but integrity still intact. ...
Release Year
2001
Book Title
A First Course in the Finite Element Method
ISBN
9780534385170
Publication Year
2001
Type
Textbook
Format
Hardcover
Language
English
Publication Name
First Course in the Finite Element Method
Author
Daryl L. Logan
Item Length
9.4in
Publisher
Nelson Education The Limited
Item Width
7.1in
Item Weight
42.5 Oz
Number of Pages
720 Pages

About this product

Product Information

This third edition provides a simple, basic approach to the finite element method that can be understood by both undergraduate and graduate students. It does not have the usual prerequisites (such as structural analysis) required by most available texts in this area. The book is written primarily as a basic learning tool for the undergraduate student in civil and mechanical engineering whose main interest is in stress analysis and heat transfer. The text is geared toward those who want to apply the finite element method as a tool to solve practical physical problems.

Product Identifiers

Publisher
Nelson Education The Limited
ISBN-10
0534385176
ISBN-13
9780534385170
eBay Product ID (ePID)
1822601

Product Key Features

Author
Daryl L. Logan
Publication Name
First Course in the Finite Element Method
Format
Hardcover
Language
English
Publication Year
2001
Type
Textbook
Number of Pages
720 Pages

Dimensions

Item Length
9.4in
Item Width
7.1in
Item Weight
42.5 Oz

Additional Product Features

Lc Classification Number
Ta347.F5l64 2002
Edition Number
3
Table of Content
1. Introduction. Prologue. Brief History. Introduction to Matrix Notation. Role of the Computer. General Steps of the Finite Element of Method. Applications of the Finite Element Methods. Advantages of the Finite Element Method. Computer Programs for the Finite Element Method. References. Problems. 2. Introduction to the Stiffness (Displacement) Method. Introduction. Definitions of the Stiffness Matrix. Derivation of the Stiffness Matrix for a Spring Element. Example of a Spring Assemblage. Assembling the Total Stiffness Matrix by Superposition (Direct Stiffness Method). Boundary Conditions. Potential Energy Approach to Derive Spring Element Equations. References. Problems. 3. Development of Truss Equations. Introduction. Derivation of the Stiffness Matrix for a Bar Element in Local Coordinates. Selecting Approximation Functions for Displacements. Transformation of Vectors in Two Dimensions. Global Stiffness Matrix. Computation of Stress for a Bar in the x-y Plane. Solution of a Plane Truss. Transformation Matrix and Stiffness Matrix for a Bar in Three-Dimensional Space. Use of Symmetry in Structure. Inclined, or Skewed, Supports. Potential Energy Approach to Derive Bar Element Equations. Comparison of Finite Element Solution to Exact Solution for Bar. Galerkin's Residual Method and Its Application to a One-Dimensional Bar. References. Problems. 4. Development of Beam Equations. Introduction. Beam Stiffness. Example of Assemblage of Beam Stiffness Matrices. Examples of Beam Analysis Using the Direct Stiffness Method. Distributed Loading. Comparison of Finite Element Solution to the Exact Solution for a Beam. Beam Element with Nodal Hinge. Potential Energy Approach to Derive Beam Element Equations. Galerkin's Method for Deriving Beam Element Equations. References. Problems. 5. Frame and Grid Equations. Introduction. Two-Dimensional Arbitrarily Oriented Beam Element. Rigid Plane Frame Examples. Inclined or Skewed Supports-Frame Element. Grid Equations. Beam Element Arbitrarily Oriented in Space. Concepts of Substructure Analysis. References. Problems. 6. Development of the Plane Stress and Plane Strain Stiffness Equations. Introduction. Basic Concepts of Plane Stress and Plane Strain. Derivation of the Constant-Strain Triangular Element Stiffness Matrix and Equations. Treatment of Body and Surface Forces. Explicit Expression for the Constant-Strain Triangle Stiffness Matrix. Finite Element Solution of a Plane Stress Problem. References. Problems. 7. Practical Considerations in Modeling; Interpreting Results and Examples of Plane Stress/Strain Analysis. Introduction. Finite Element Modeling. Equilibrium and Compatibility of Finite Element Results. Convergence of Solution. Interpretation of Stresses. Static Condensation. Flowchart for the Solution of Plane Stress Problems. Computer Program Results for Some Plane Stress/Strain Problems. References. Problems. 8. Development of the Linear-Strain Triangle Equations. Introduction. Derivation of the Linear-Strain Triangular Element Stiffness Matrix and Equations. Example LST Stiffness Determination. Comparison of Elements. References. Problems. 9. Axisymmetric Elements. Introduction. Derivation of the Stiffness Matrix. Solutions of an Axisymmetric Pressure Vessel. Applications of Axisymmetric Elements. References. Problems. 10. Isoparametric Formulation. Introduction. Isoparametric Formulation of the Bar Element Stiffness Matrix. Rectangular Plane Stress Element. Isoparametric Formulation of the Plane Element Stiffness Matrix. Gaussian Quadrature (Numerical Integration). Evaluation of the Stiffness Matrix and Stress Matrix by Gaussian Quadrature. Higher-Order Shape Functions. References. Problems. 11. Three-Dimensional Stress Analysis. Introduction. Three Dimensional Stress and Strain. Tetrahedral Element. Isoparametric Formulation. References. Problems. 12. Plate Bending Element. Introduction. Basic Concepts of Plate Bending. Derivation of a Plate Bending Elemen
Copyright Date
2002
Target Audience
College Audience
Topic
Numerical Analysis, Mechanical
Lccn
00-067507
Dewey Decimal
620/.001/515353
Dewey Edition
21
Illustrated
Yes
Genre
Technology & Engineering, Mathematics

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