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First Course in the Finite Element Method by Daryl L. Logan (2011, Hardcover)
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About this product
Product Identifiers
PublisherCengage Learning
ISBN-100495668257
ISBN-139780495668251
eBay Product ID (ePID)99553053
Product Key Features
Number of Pages954 Pages
Publication NameFirst Course in the Finite Element Method
LanguageEnglish
SubjectNumerical Analysis, Mechanical
Publication Year2011
TypeTextbook
AuthorDaryl L. Logan
Subject AreaMathematics, Technology & Engineering
FormatHardcover
Dimensions
Item Height1.7 in
Item Weight58.5 Oz
Item Length9.4 in
Item Width7.5 in
Additional Product Features
Edition Number5
Intended AudienceCollege Audience
LCCN2010-938463
ReviewsThe author presented topics in a simple and easy-to-follow way and provided subsequently proper derivation or illustration to enhance students' understanding. I cannot find a textbook which is better than this one in the field of finite element method., Logan does a very good job of keeping things simple and straight forward. Fairly well written using a simple approach without extensive theoretical and mathematical theory. The text is very complete., Logan has a very easy-to-read style, while retaining the precision and clarity of engineering topics without being dry.
Dewey Edition21
TitleLeadingA
IllustratedYes
Dewey Decimal620/.001/515353
Table Of Content1. INTRODUCTION Brief History. Introduction to Matrix Notation. Role of the Computer. General Steps of the Finite Element Method. Applications of the Finite Element Method. Advantages of the Finite Element Method. Computer Programs for the Finite Element Method. 2. INTRODUCTION TO THE STIFFNESS (DISPLACEMENT) METHOD Definition 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. 3. DEVELOPMENT OF TRUSS EQUATIONS 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 for Bar Arbitrarily Oriented in the Plane. 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 Use to Derive the One-Dimensional Bar Element Equations. Other Residual Methods and Their Application to a One-Dimensional Bar Problem. Flowchart for Solutions of Three-Dimensional Truss Problems. Computer Program Assisted Step-by-Step Solution for Truss Problem. 4. DEVELOPMENT OF BEAM EQUATIONS Beam Stiffness. Example of Assemblage of Beam Stiffness Matrices. Examples of Beam Analysis Using the Direct Stiffness Method. Distribution Loading. Comparison of the 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. 5. FRAME AND GRID EQUATIONS Two-Dimensional Arbitrarily Oriented Beam Element. Rigid Plane Frame Examples. Inclined or Skewed Supports - Frame Element. Grid Equations. Beam Element Arbitrarily Oriented in Space. Concept of Substructure Analysis. 6. DEVELOPMENT OF THE PLANE STRESS AND STRAIN STIFFNESS EQUATIONS 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. Rectangular Plane Element (Bilinear Rectangle, Q4).7. PRACTICAL CONSIDERATIONS IN MODELING: INTERPRETING RESULTS AND EXAMPELS OF PLANE STRESS/STRAIN ANALYSIS 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-Strain Problems. Computer Program Assisted Step-by-Step Solution, Other Models, and Results for Plane Stress-Strain Problems. 8. DEVELOPMENT OF THE LINEAR-STRAIN TRAINGLE EQUATIONS Derivation of the Linear-Strain Triangular Element Stiffness Matrix and Equations. Example of LST Stiffness Determination. Comparison of Elements. 9. AXISYMMETRIC ELEMENTS Derivation of the Stiffness Matrix. Solution of an Axisymmetric Pressure Vessel. Applications of Axisymmetric Elements. 10. ISOPARAMETRIC FORMULATION Isoparametric Formulation of the Bar Element Stiffness Matrix. Isoparametric Formulation of the Okabe Quadrilateral Element Stiffness Matrix. Newton-Cotes and Gaussian Quadrature. Evaluation of the Stiffness Matrix and Stress Matrix by Gaussian Quadrature. Higher-Order Shape Functions.11. THREE-DIMENSIONAL STRESS ANALYSIS Three-Dimensional Stress and Strain. Tetrahedral Element. Isoparametric Formulation.12. PLATE BENDING ELEMENT Basic Concepts of Plate Bending. Derivation of a Plate Bending Element Stiffness Matrix and Equations. Some Plate Element Numerical C
SynopsisA FIRST COURSE IN THE FINITE ELEMENT METHOD provides a simple, basic approach to the course material that can be understood by both undergraduate and graduate students without the usual prerequisites (i.e. structural analysis). 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.
LC Classification NumberTA347.F5L64 2012
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Ratings and Reviews
Most relevant reviews
- Mar 25, 2025
Great FEA book, written from engineering vs. mathematics standpoint.
Like new condition, obviously never read. No markings -- at all. Very good text in finite element modelling, with thorough & practical ( applied, engineering approach to mathematics) development of concepts and analysis methodology. Highly recommend.Verified purchase: YesCondition: Pre-owned
- Oct 28, 2015
The the allocation country covered by sticker
Since I receive the book, I found the dedication country is stickered. It's not International version, actually only for India, Pakistan, Bangladesh, Nepal, and Sri Lanka. I also found the paper is really thin, and you can see the pages before in the next pages. I didn't check the total pages yet. But, it's really cheap. Hopefully I'm not arrested if use this book outside the countries above.Verified purchase: YesCondition: New
- Jun 07, 2016
very bad
there are so many pages missing in the book.Verified purchase: YesCondition: New
