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| Preface | |
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| Stress and Strain | |
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| Overview | |
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| Stress on a Surface | |
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| Stress at a Point | |
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| Sign Convention for Stress | |
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| Stress Elements | |
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| Construction of a Stress Cube | |
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| Plane Stress | |
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| Stress Transformation in Two Dimensions | |
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| Matrix Method in Two Dimensions | |
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| Principal Stresses | |
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| Maximum Shear Stress | |
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| Stress Transformation in Three Dimensions | |
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| Principal Stresses | |
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| Principal Stress Convention | |
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| Characteristic Equation and Stress Invariants | |
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| Octahedral Stresses | |
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| Average Normal and Shear Strains | |
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| Units of Average Strains | |
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| Strain at a Point and Strain-Displacement Equations | |
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| Plane Strain | |
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| Finite Difference Approximation of Strains | |
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| Strain Transformation | |
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| Principal Strains | |
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| Closure | |
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| Material Description | |
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| Overview | |
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| Linear Material Model | |
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| Monoclinic Materials | |
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| Orthotropic Materials | |
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| Transversely Isotropic Materials | |
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| Isotropic Materials | |
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| Plane Stress and Plane Strain | |
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| Failure Theories | |
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| Maximum Shear Stress Theory | |
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| Maximum Octahedral Shear Stress Theory | |
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| Maximum Normal Stress Theory | |
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| Modified Mohr's Theory | |
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| Saint-Venant's Principle | |
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| Stress Concentration Factor | |
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| Stress Intensity Factor | |
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| Analysis Procedure | |
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| Fatigue | |
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| Closure | |
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| Basic Structural Members | |
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| Overview | |
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| Logic in Structural Analysis | |
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| Basic Theories of One-Dimensional Structural Members | |
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| Limitations | |
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| Elementary Theories of One-Dimensional Structural Members | |
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| Shear Stress in Thin Symmetric Beams | |
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| Stresses and Strains | |
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| Discontinuity Functions | |
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| Definition of Discontinuity Functions | |
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| Boundary Value Problems | |
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| Axial Displacement | |
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| Torsional Rotation | |
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| Beam Deflection | |
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| Symmetric Bending of Curved Beams | |
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| Kinematics | |
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| Material Model | |
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| Static Equivalency | |
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| Location of the Neutral Axis | |
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| Stress Formula | |
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| Combined Loading | |
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| Closure | |
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| Composite Structural Members | |
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| Overview | |
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| Composite Axial Members | |
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| Composite Shafts | |
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| Composite Symmetric Beams | |
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| Normal Bending Stress in Composite Beams | |
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| Location of the Neutral Axis (Origin) in Composite Beams | |
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| Bending Shear Stress in Composite Beams | |
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| Cross Section Transformation Method | |
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| Introduction to the Micromechanics of Composites | |
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| Orthotropic Composite Laminae | |
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| Unit Cell Approximation | |
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| Longitudinal Modulus of Elasticity E[Subscript x] | |
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| Poisson's Ratio v[Subscript xy] | |
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| Transverse Modulus of Elasticity E[Subscript y] | |
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| Shear Modulus G[Subscript xy] | |
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| Closure | |
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| Inelastic Structural Behavior | |
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| Overview | |
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| Effects of Temperature | |
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| Initial Stress or Strain in Axial Members | |
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| Temperature Effects in Axial Members | |
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| Nonlinear Material Models | |
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| Elastic-Perfectly Plastic Material Models | |
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| Linear Strain-Hardening Material Model | |
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| Power Law Model | |
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| Elastic-Perfectly Plastic Axial Members | |
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| Elastic-Perfectly Plastic Circular Shafts | |
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| Residual Shear Stress | |
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| Elastic-Perfectly Plastic Beams | |
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| Material Nonlinearity in Structural Members | |
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| Viscoelasticity | |
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| Maxwell Model | |
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| Kelvin Model | |
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| Creep Test | |
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| Relaxation Test | |
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| Generalized Viscoelastic Linear Models | |
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| Closure | |
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| Thin-Walled Structural Members | |
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| Overview | |
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| Theory of Unsymmetric Bending of Beams | |
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| Deformation | |
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| Strain Distribution | |
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| Material Model | |
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| Internal Forces and Moments | |
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| Sign Convention | |
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| Bending Formulas | |
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| Location of Origin | |
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| Neutral Axis | |
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| Equilibrium Equations | |
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| Shear Stress in Thin Open Sections | |
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| Shear Center | |
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| Shear Stresses in Thin Closed Sections | |
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| Shear Centers of Thin Closed Sections | |
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| Torsion of Thin-Walled Tubes | |
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| Torsional Deformation | |
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| Torsion of Multicell Tubes | |
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| Combined Loading | |
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| Closure | |
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| Energy Methods | |
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| Overview | |
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| Strain Energy | |
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| Linear Strain Energy Density | |
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| Axial Strain Energy | |
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| Torsional Strain Energy of Circular Shafts | |
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| Bending Strain Energy | |
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| Work | |
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| Virtual Work | |
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| Types of Boundary Conditions | |
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| Kinematically Admissible Functions | |
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| Statically Admissible Functions | |
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| Virtual Displacement Method | |
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| Virtual Force Method | |
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| Dummy Unit Load Method | |
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| Axial Members | |
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| Torsion of Circular Shafts | |
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| Symmetric Bending of Beams | |
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| Castigliano's Theorems | |
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| Deflection of Curved Beams | |
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| Minimum Potential Energy | |
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| Rayleigh-Ritz Method | |
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| Axial Members | |
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| Torsion of Circular Shafts | |
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| Symmetric Bending of Beams | |
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| Functionals | |
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| Closure | |
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| Elasticity and the Mechanics of Materials | |
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| Overview | |
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| Elasticity Equations | |
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| Compatibility Equations | |
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| Plane Stress and Plane Strain | |
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| Equilibrium Equations | |
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| Boundary Conditions | |
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| Axisymmetric Problems | |
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| Axisymmetric Plane Strain | |
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| Axisymmetric Plane Stress | |
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| Rotating Disks | |
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| Thick Hollow Cylinders | |
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| Internal Pressure Only | |
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| External Pressure Only | |
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| Thin Disks | |
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| Internal Pressure Only | |
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| External Pressure Only | |
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| Shrink Fitting | |
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| Airy Stress Function | |
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| Solution by Polynomials | |
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| Quadratic Polynomials | |
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| Cubic Polynomials | |
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| Fourth-Order Polynomials | |
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| Torsion of Noncircular Shafts | |
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| Saint-Venant's Method | |
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| Prandtl's Method | |
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| Procedure for Solving Problems of Torsion of Noncircular Shafts | |
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| Closure | |
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| Finite Element Method | |
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| Overview | |
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| Terminology | |
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| Lagrange Polynomials | |
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| Axial Elements | |
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| Element Stiffness Matrix | |
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| Element Load Vector | |
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| Assembly of Global Matrix and Global Load Vector | |
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| Incorporating the External Concentrated Forces | |
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| Incorporating the Boundary Conditions on Displacements | |
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| Element Strain Energy | |
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| Transformation Matrix | |
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| Linear and Quadratic Axial Elements | |
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| Procedural Steps in the Finite Element Method | |
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| Circular Shaft Elements | |
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| Symmetric Beam Elements | |
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| Finite Element Equations in Two-Dimensions | |
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| Constant Strain Triangle | |
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| Closure | |
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| Statics and Mechanics of Materials Review | |
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| Overview | |
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| Types of Forces and Moments | |
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| External Forces and Moments | |
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| Reaction Forces and Moments | |
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| Internal Forces and Moments | |
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| Free Body Diagrams | |
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| Trusses | |
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| Centroids | |
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| Statically Equivalent Load Systems | |
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| Distributed Force on a Line | |
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| Distributed Force on a Surface | |
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| Area Moments of Inertia | |
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| Principal Moments of Inertia | |
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| Mohr's Circle for Stress | |
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| Construction of Mohr's Circle for Stress | |
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| Principal Stresses and Maximum Shear Stress | |
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| Stresses on an Inclined Plane | |
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| Mohr's Circle for Strain | |
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| Construction of Mohr's Circle for Strain | |
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| Principal Strains and Maximum Shear Strain | |
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| Strains in a Specified Coordinate System | |
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| Strain Gages | |
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| Thin-Walled Pressure Vessels | |
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| Additional Details on Elementary Structural Theories | |
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| Deformation | |
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| Strains | |
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| Stress | |
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| Internal Forces and Moments | |
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| Location of the Origin | |
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| Stress and Deformation Formulas | |
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| Sign Conventions | |
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| Equilibrium Equations | |
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| Differential Equations | |
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| Basic Matrix Algebra | |
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| Basic Definitions | |
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| Addition of Matrices | |
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| Multiplication of Matrices | |
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| A Matrix Transpose | |
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| Determinant of a Matrix | |
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| Cramer's Rule | |
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| Inverse of a Matrix | |
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| Information Charts and Tables | |
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| Stress Concentration Factor for a Finite Plate with a Central Hole | |
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| Stress Concentration Factor for Stepped Axial Circular Bars with Fillet | |
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| Stress Concentration Factor for Stepped Circular Shafts with Fillet | |
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| Stress Concentration Factor for a Stepped Circular Beam with Fillet | |
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| Reactions at the Support | |
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| Areas, Centroids, and Second Area Moments of Inertia | |
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| Deflections and Slopes of Beams | |
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| Properties of Traditional Materials (FPS units) | |
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| Properties of Traditional Materials (metric units) | |
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| Properties of Typical Fiber and Matrix Materials | |
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| Geometric Properties of Wide-Flange Sections (FPS units) | |
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| Geometric Properties of Wide-Flange Sections (metric units) | |
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| Geometric Properties of S-Shaped Sections (FPS units) | |
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| Geometric Properties of S-Shaped Sections (metric units) | |
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| Bibliography | |
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| Index | |