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| Preface | |
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| Mathematical Preliminaries | |
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| Vectors and Matrices | |
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| Vector-Matrix Calculus | |
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| Matrix Equations | |
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| Eigen Values and Eigen Vectors | |
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| Quadratic Forms | |
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| Maxima and Minima of Functions | |
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| Exercise | |
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| Stress-Strain Analysis | |
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| Stress | |
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| Strain | |
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| Stress-Strain Relations | |
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| Boundary Value Problems | |
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| Failure Theories | |
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| Safety Factor | |
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| Exercise | |
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| Uniaxial Bar and Truss Elements-Direct Method | |
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| Illustration of the Direct Method | |
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| Uniaxial Bar Element | |
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| Plane Truss Elements | |
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| Three-Dimensional Truss Elements (Space Truss) | |
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| Thermal Stresses | |
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| Projects | |
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| Exercise | |
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| Weighted Residual and Energy Methods for One-Dimensional Problems | |
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| Exact vs. Approximate Solution | |
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| Galerkin Method | |
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| Higher-Order Differential Equations | |
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| Finite Element Approximation | |
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| Formal Procedure | |
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| Energy Methods | |
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| Exercise | |
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| Finite Element Analysis of Beams and Frames | |
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| Review of Elementary Beam Theory | |
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| Rayleigh-Ritz Method | |
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| Finite Element Interpolation | |
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| Finite Element Equation for the Beam Element | |
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| Bending Moment and Shear Force Distribution | |
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| Plane Frame | |
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| Project | |
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| Exercise | |
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| Finite Elements for Heat Transfer Problems | |
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| Introduction | |
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| Fourier Heat Conduction Equation | |
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| Finite Element Analysis - Direct Method | |
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| Galerkin Method for Heat Conduction Problems | |
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| Convection Boundary Conditions | |
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| Exercise | |
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| Finite Elements for Plane Solids | |
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| Introduction | |
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| Types of Two-Dimensional Problems | |
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| Principle of Minimum Potential Energy | |
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| Constant Strain Triangular (CST) Element | |
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| Four-Node Rectangular Element | |
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| Four-Node Iso-Parametric Quadrilateral Element | |
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| Numerical Integration | |
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| Project | |
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| Exercise | |
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| Finite Element Procedures and Modeling | |
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| Finite Element Analysis Procedures | |
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| Finite Element Modeling Techniques | |
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| Project | |
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| Exercise | |
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| Structural Design Using Finite Elements | |
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| Introduction | |
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| Safety Margin in Design | |
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| Intuitive Design: Fully-Stressed Design | |
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| Design Parameterization | |
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| Parameter Study - Sensitivity Analysis | |
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| Structural Optimization | |
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| Project: Design Optimization of a Bracket | |
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| Exercise | |
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| Finite Element Analysis Using Pro/Engineer | |
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| Introduction | |
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| Getting Start | |
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| Plate with a Hole Analysis | |
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| Design Sensitivity Analysis/Parameter Study | |
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| Design Optimization | |
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| Finite Element Analysis Using NEi Nastran | |
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| Introduction | |
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| Getting Start | |
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| Plate with a Hole Analysis | |
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| Static Analysis of Beams | |
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| Examples in the text | |
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| Finite Element Analysis Using ANSYS | |
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| Introduction | |
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| Getting Start | |
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| Static Analysis of a Corner Bracket | |
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| Examples in the Text | |
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| Finite Element Analysis Using MATLAB Toolbox | |
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| Finite Element Analysis of Bar and Truss | |
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| Finite Element Analysis Using Frame Elements | |
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| Finite Element Analysis Using Plane Solid Elements | |
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| Index | |