A first course in the finite element method / Daryl L. Logan

By:

Logan, Daryl L

Material type: Text

TextLanguage: English Publication details: Bangalore : Thomson Learning, 2002.Edition: 3rd edDescription: xvi, 696 pages : illustrations ; 25 cmISBN:

9789812431141

Subject(s):

Finite element method

DDC classification:

23 620.00151535

Contents:

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 -- 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 -- 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 -- 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 -- Development of Beam Equations -- Beam Stiffness -- Example of Assemblage of Beam Stiffness Matrices -- Examples of Beam Analysis Using the Direct Stiffness Method -- Distributed Loading -- Comparison of the Finite Element Solution to the Exact Solution for a Beam -- Beam Element with Nodal Hinge.

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Holdings
Item type	Current library	Home library	Collection	Call number	Status	Date due	Barcode
AIT-Donated Books	Acharya Institute of Technology	Acharya Institute of Technology	AIT-ME	620.00151535 (Browse shelf(Opens below))	Available		DB883

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 --
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 --
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 --
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 --
Development of Beam Equations --
Beam Stiffness --
Example of Assemblage of Beam Stiffness Matrices --
Examples of Beam Analysis Using the Direct Stiffness Method --
Distributed Loading --
Comparison of the Finite Element Solution to the Exact Solution for a Beam --
Beam Element with Nodal Hinge.

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