Overview

Introduction to Finite Engineering is ideal for senior undergraduate and first-year graduate students and also as a learning resource to practicing engineers. This book provides an integrated approach to finite element methodologies. The development of finite element theory is combined with examples and exercises involving engineering applications. The steps used in the development of the theory are implemented in complete, self-contained computer programs. While the strategy and philosophy of the previous editions has been retained, the¿Fourth Edition has been updated and improved to include new material on additional topics.

Full Product Details

Author:   Tirupathi Chandrupatla ,  Ashok Belegundu
Publisher:   Pearson Education (US)
Imprint:   Pearson
Edition:   4th edition
Dimensions:   Width: 18.20cm , Height: 2.00cm , Length: 23.80cm
Weight:   0.780kg
ISBN:  

9780132162746

ISBN 10:   0132162741
Pages:   512
Publication Date:   20 December 2011
Audience:   College/higher education ,  Undergraduate
Replaced By:   9780273763680
Format:   Hardback
Publisher's Status:   Out of Print
Availability:   Awaiting stock  

Table of Contents

PREFACE XIII ABOUT THE AUTHOR XVI   1 FUNDAMENTAL CONCEPTS 1 1.1 Introduction 1 1.2 Historical Background 1 1.3 Outline of Presentation 2 1.4 Stresses and Equilibrium 2 1.5 Boundary Conditions 4 1.6 Strain—Displacement Relations 5 1.7 Stress—Strain Relations 6 Special Cases, 7 1.8 Temperature Effects 8 1.9 Potential Energy and Equilibrium: The Rayleigh—Ritz Method 9 Potential Energy ß , 9 Rayleigh—Ritz Method, 12 1.10 Galerkin’s Method 14 1.11 Saint Venant’s Principle 18 1.12 Von Mises Stress 19 1.13 Principle of Superposition 19 1.14 Computer Programs 20 1.15 Conclusion 20 Historical References 20 Problems 21   2 MATRIX ALGEBRA AND GAUSSIAN ELIMINATION 28 2.1 Matrix Algebra 28 Row and Column Vectors, 29 Addition and Subtraction, 29 Multiplication by a Scalar, 29 Matrix Multiplication, 29 Transposition, 30 Differentiation and Integration, 30 Square Matrix, 31 Diagonal Matrix, 31 Identity Matrix, 31 Symmetric Matrix, 32 Upper Triangular Matrix, 32 Determinant of a Matrix, 32 Matrix Inversion, 32 Eigenvalues and Eigenvectors, 33 Positive Definite Matrix, 35 Cholesky Decomposition, 35 2.2 Gaussian Elimination 35 General Algorithm for Gaussian Elimination, 37 Symmetric Matrix, 40 Symmetric Banded Matrices, 40 Solution with Multiple Right Sides, 40 Gaussian Elimination with Column Reduction, 42 Skyline Solution, 44 Frontal Solution, 45 2.3 Conjugate Gradient Method for Equation Solving 45 Conjugate Gradient Algorithm, 46 Input Data/Output 46 Problems 47 Program Listings, 49   3 ONE-DIMENSIONAL PROBLEMS 51 3.1 Introduction 51 3.2 Finite Element Modeling 52 Element Division, 52 Numbering Scheme, 53 3.3 Shape Functions and Local Coordinates 55 3.4 The Potential-Energy Approach 59 Element Stiffness Matrix, 60 Force Terms, 62 3.5 The Galerkin Approach 64 Element Stiffness, 64 Force Terms, 65 3.6 Assembly of the Global Stiffness Matrix and Load Vector 66

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Author Information

Tirupathi R. Chandrupatla is Professor and Chair of Mechanical Engineering at Rowan University, Glassboro, New Jersey. He received the B.S. degree from the Regional Engineering College, Warangal, which was affiliated with Osmania University, India. He received the M.S. degree in design and manufacturing from the Indian Institute of Technology, Bombay. He started his career as a design engineer with Hindustan Machine Tools, Bangalore. He then taught in the Department of Mechanical Engineering at LLT, Bombay. He pursued his graduate studies in the Department of Aerospace Engineering and Engineering Mechanics at the University of Texas at Austin and received his Ph.D. in 1977. He subsequently taught at the University of Kentucky. Prior to joining Rowan, he was a Professor of Mechanical Engineering and Manufacturing Systems Engineering at GMI Engineering & Management Institute (formerly General Motors Institute), where he taught for 16 years. Dr. Chandrupatla has broad research interests, which include finite element analysis, design, optimization, and manufacturing engineering. He has published widely in these areas and serves as a consultant to industry. Dr. Chandrupatla is a registered Professional Engineer and also a Certified Manufacturing Engineer. He is a member of ASEE, ASME, NSPE, SAE, and SME. Ashok D. Belegundu is a Professor of Mechanical Engineering at The Pennsylvania State University, University Park. He was on the faculty at GMI from 1982 through 1986. He received the Ph.D. degree in 1982 from the University of Iowa and the B.S. degree from the Indian Institute of Technology, Madras. He was awarded a fellowship to spend a summer in 1993 at the NASA Lewis Research Center. During 1994-1995, he obtained a grant from the UK Science and Engineering Research Council to spend his sabbatical leave at Cranfield University, Cranfield, UK. Dr. Belegundu's teaching and research interests include linear, nonlinear, and dynamic finite elements and optimization. He has worked on several sponsored projects for government and industry. He is an associate editor of Mechanics of Structures and Machines. He is also a member of ASME and an Associate fellow of AIAA.

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