Bookstore

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 4th Edition has been updated and improved to include new material on additional topics. The full text downloaded to your computer With eBooks you can: search for key concepts, words and phrases make highlights and notes as you study share your notes with friends eBooks are downloaded to your computer and accessible either offline through the Bookshelf (available as a free download), available online and also via the iPad and Android apps. Upon purchase, you'll gain instant access to this eBook. Time limit The eBooks products do not have an expiry date. You will continue to access your digital ebook products whilst you have your Bookshelf installed.

Introduction to Finite Elements in Engineering

• PREFACE


• ABOUT THE AUTHORS


• Contents


• 1 FUNDAMENTAL CONCEPTS


• 1.1 Introduction


• 1.2 Historical Background


• 1.3 Outline of Presentation


• 1.4 Stresses and Equilibrium


• 1.5 Boundary Conditions


• 1.6 Strain-Displacement Relations


• 1.7 Stress-Strain Relations


• Special Cases


• 1.8 Temperature Effects


• 1.9 Potential Energy and Equilibrium: The Rayleigh-Ritz Method


• Potential Energy,∏


• Rayleigh-Ritz Method


• 1.10 Galerkin's Method


• 1.11 Saint Venant's Principle


• 1.12 Von Mises Stress


• 1.13 Principle of Superposition


• 1.14 Computer Programs


• 1.15 Conclusion


• Historical References


• Problems


• 2 MATRIX ALGEBRA AND GAUSSIAN ELIMINATION


• 2.1 Matrix Algebra


• Row and Column Vectors


• Addition and Subtraction


• Multiplication by a Scalar


• Matrix Multiplication


• Transposition


• Differentiation and Integration


• Square Matrix


• Diagonal Matrix


• Identity Matrix


• Symmetric Matrix


• Upper Triangular Matrix


• Determinant of a Matrix


• Matrix Inversion


• Eigenvalues and Eigenvectors


• Positive Definite Matrix


• Cholesky Decomposition


• 2.2 Gaussian Elimination


• General Algorithm for Gaussian Elimination


• Symmetric Matrix


• Symmetric Banded Matrices


• Solution with Multiple Right Sides


• Gaussian Elimination with Column Reduction


• Skyline Solution


• Frontal Solution


• 2.3 Conjugate Gradient Method for Equation Solving


• Conjugate Gradient Algorithm


• Inp