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Introduction to Finite Elements in Engineering

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ISBN-10: 0130615919

ISBN-13: 9780130615916

Edition: 3rd 2002 (Revised)

Authors: Tirupathi R. Chandrupatla, Ashok D. Belegundu

List price: $190.00
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Book details

List price: $190.00
Edition: 3rd
Copyright year: 2002
Publisher: Prentice Hall PTR
Publication date: 1/17/2002
Binding: Mixed Media
Pages: 453
Size: 7.25" wide x 9.25" long x 1.00" tall
Weight: 1.936
Language: English

Tirupathi R. Chandrupatla has been a Professor and Founding Chair of Mechanical Engineering at Rowan University, Glassboro, New Jersey since 1995. He received his M.S. degree in design and manufacturing from the Indian Institute of Technology, Bombay, and his Ph.D. from the University of Texas at Austin. He began his career as a design engineer with Hindustan Machine Tools (HMT), Bangalore. His first teaching post was at I.I.T., Bombay. He has also taught at the University of Kentucky, and GMI Engineering and Management Institute (Kettering University), before joining Rowan. Chandrupatla is author of Introduction to Finite Elements in Engineering, Optimization Concepts and Applications in…    

Ashok D. Belegundu has been a Professor of Mechanical Engineering at Pennsylvania State University, University Park, since 1986. Prior to this, he taught at GMI, now Kettering University, in Michigan. He received his B. Tech. degree from I.I.T. Madras and his Ph.D. from the University of Iowa. He has been a principal investigator on research projects involving optimization for several agencies including the National Science Foundation, Army Research Office, NASA, SERC (UK), MacNeal-Schwendler Corporation, Gentex Corporation, and Ingersoll-Rand. He has organized two international conferences on optimization in industry and has authored or edited four books and written a chapter in a book. A…    

Preface
Fundamental Concepts
Introduction
Historical Background
Outline of Presentation
Stresses and Equilibrium
Boundary Conditions
Strain-Displacement Relations
Stress-Strain Relations
Temperature Effects
Potential Energy and Equilibrium
The Rayleigh-Ritz Method
Galerkin's Method
Saint Venant's Principle
Von Mises Stress
Computer Programs
Conclusion
Matrix Algebra and Gaussian Elimination
Matrix Algebra
Gaussian Elimination
Conjugate Gradient Method for Equation Solving
One-Dimensional Problems
Introduction
Finite Element Modeling
Coordinates and Shape Functions
The Potential-Energy Approach
The Galerkin Approach
Assembly of the Global Stiffness Matrix and Load Vector
Properties of K
The Finite Element Equations
Treatment of Boundary Conditions
Quadratic Shape Functions
Temperature Effects
Trusses
Introduction
Plane Trusses
Three-Dimensional Trusses
Assembly of Global Stiffness Matrix for the Banded and Skyline Solutions
Two-Dimensional Problems Using Constant Strain Triangles
Introduction
Finite Element Modeling
Constant-Strain Triangle (CST)
Problem Modeling and Boundary Conditions
Orthotropic Materials
Axisymmetric Solids Subjected to Axisymmetric Loading
Introduction
Axisymmetric Formulation
Finite Element Modeling: Triangular Element
Problem Modeling and Boundary Conditions
Two-Dimensional Isoparametric Elements and Numerical Integration
Introduction
The Four-Node Quadrilateral
Numerical Integration
Higher Order Elements
Four-Node Quadrilateral for Axisymmetric Problems
Conjugate Gradient Implementation of the Quadrilateral Element
Beams and Frames
Introduction
Finite Element Formulation
Load Vector
Boundary Considerations
Shear Force and Bending Moment
Beams on Elastic Supports
Plane Frames
Three-Dimensional Frames
Some Comments
Three-Dimensional Problems in Stress Analysis
Introduction
Finite Element Formulation
Stress Calculations
Mesh Preparation
Hexahedral Elements and Higher Order Elements
Problem Modeling
Frontal Method for Finite Element Matrices
Scalar Field Problems
Introduction
Steady State Heat Transfer
Torsion
Potential Flow, Seepage, Electric and Magnetic Fields, and Fluid Flow in Ducts
Conclusion
Dynamic Considerations
Introduction
Formulation
Element Mass Matrices
Evaluation of Eigenvalues and Eigenvectors
Interfacing with Previous Finite Element Programs and a Program for Determining Critical Speeds of Shafts
Guyan Reduction
Rigid Body Modes
Conclusion
Preprocessing and Postprocessing
Introduction
Mesh Generation
Postprocessing
Conclusion
Appendix
Bibliography
Index