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First Course in the Finite Element Method by Daryl L. Logan (2006, Hardcover)

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Product Identifiers

Publisher
Course Technology
ISBN-10
0534552986
ISBN-13
9780534552985
eBay Product ID (ePID)
52629797

Product Key Features

Number of Pages
752 Pages
Publication Name
First Course in the Finite Element Method
Language
English
Subject
Numerical Analysis, Mechanical
Publication Year
2006
Type
Textbook
Author
Daryl L. Logan
Subject Area
Mathematics, Technology & Engineering
Format
Hardcover

Dimensions

Item Height
1.4 in
Item Weight
48.1 Oz
Item Length
9.5 in
Item Width
7.5 in

Additional Product Features

Edition Number
4
Intended Audience
College Audience
Dewey Edition
21
TitleLeading
A
Illustrated
Yes
Dewey Decimal
620/.001/515353
Table Of Content
Chapter 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. Chapter 2 - Introduction to the Stiffness (Displacement) MethodIntroduction. 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. Chapter 3 - Development of Truss EquationsIntroduction. 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. Chapter 4 - Development of Beam EquationsIntroduction. 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. Chapter 5 - Frame and Grid EquationsIntroduction. 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. Chapter 6 - Development of the Plane Stress and Plane Strain Stiffness EquationsIntroduction. 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. Chapter 7 - Practical Considerations in Modeling; Interpreting Results and Examples of Plane Stress/Strain AnalysisIntroduction. 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. Chapter 8 - Development of the Linear-Strain Triangle EquationsIntroduction. Derivation of the Linear-Strain Triangular Element Stiffness Matrix and Equations. Example LST Stiffness Determination. Comparison of Elements. References. Problems. Chapter 9 - Axisymmetric ElementsIntroduction. Derivation of the Stiffness Matrix. Solutions of an Axisymmetric Pressure Vessel. Applications of Axisymmetric Elements. References. Problems. Chapter 10 - Isoparametric FormulationIntroduction. 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. Chapter 11 - Three-Dimensional Stress Analysis Introduction. Three Dimensional Stress and Strain. Tetrahedral Element. Isoparametric Formulation. References. Problems. Chapter 12 - Plate B
Synopsis
Only God can take the bitter things and turn them into blessings in your own life and the lives of others. But healing cannot take place until you uproot the faulty thinking that often accompanies life's wounds and replace it with the truth about how God views you. As Cindi McMenamin shares powerful examples of the ways God has changed broken lives, she offers encouraging counsel that will... take you from feeling insignificant to realizing how much the Lord loves you take you from feeling undesirable to seeing your true beauty take you from feeling you're not good enough to recognizing how special you are You'll find this book filled with grace, redemption, and transformation. It will lead you toward a renewed focus on God, a resurgence of inner joy, and better relationships with others. Book jacket., A First Course in the Finite Element Analysis 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. This revised fourth edition includes the addition of a large number of new problems (including SI problems), an appendix for mechanical and thermal properties, and more civil applications.
LC Classification Number
TA347.F5L64 2007

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First Course in the Finite Element Method by Daryl L. Logan (2006, Hardcover)

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