Theory and Analysis of Flight Structures

Description

Front Cover Front Page Preface Contents 1. Introduction 1.1 Steps in Structural Design 1.2 Applied Loads and Temperatures 1.3 Actual Stresses and Deflections 1.4 Allowable Stresses or Deflections 1.5 Comparison of Applied and Allowable Stresses and Deflections 1.6 Summary References Problems 2. Stress and Strain 2.1 Introduction 2.2 Stress: Definitions and Notations 2.3 Equations of Equilibrium 2.4 Stress Transformations for Rotation of Axes 2.5 Principal Stresses and Maximum Shear Stresses 2.6 Deflections and Strains 2.7 Strain-transformation Equations 2.8 Compatibility Equations 2.9 Summary References Problems 3. Mechanical Behavior of Materials 3.1 Introduction 3.2 The Tensile Test 3.3 Compression and Shear Tests 3.4 Idealizations of the Stress-Strain Curve 3.5 Three-parameter Representations of Stress-Strain Curves 3.6 Effect of Temperature Upon Short-time Static Properties 3.7 Creep 3.8 Fatigue 3.9 Allowable Mechanical Properties 3.10 Material Selection 3.11 Three-dimensional Linearly Elastic Stress-Strain Relationships References Problems 4. Introduction to the Theory of Elasticity 4.1 Introduction 4.1 Displacement Formulation 4.3 Stress Formulation 4.4 Two-dimensional Problems 4.5 Stress-function Formulation 4.6 The Inverse Method 4.7 The Semi-inverse Method 4.8 St. Vernant's Principle References Problems 5. Finite-difference Methods 5.1 Introduction 5.2 Finite-difference Operators 5.3 Application to Equilibrium Boundary-value Problems 5.4 Application to Eigenvalue Problems 5.5 Solution of Matrix Eigenvalue Equations References Problems 6. Introduction to Work and Energy Principles 6.1 Introduction 6.2 Work and Energy 6.3 Virtual Work and Equilibrium 6.4 Coordinates and Degrees of Freedom 6.5 Stability 6.6 Small Displacements of a Conservative System 6.7 Strain Energy and Complementary Strain Energy 6.8 Potential and Complementary Potential of External Forces 6.9 The Principle of the Stationary Value of the Total Potential 6.10 The Principle of the Stationary Value of the Total Complementary Potential 6.11 Derivation of Equilibrium and Compatibility Equations by Variational Methods 6.12 The Rayleigh-Ritz Method 6.13 The Reciprocal Theorems of Betti and Maxwell 6.14 The Use of Virtual Work to Compute Deflections References Problems 7. Bending and Extension of Beams 7.1 Introduction 7.2 Stress Resultants 7.3 Stresses Due to Extension and Bending 7.4 Modulus-weighted Section Properties 7.5 Accuracy of the Beam-stress Equation 7.6 Idealization of Stiffened-shell Structures 7.7 Equilibrium Equations 7.8 Beam Deflections 7.9 The Differential Equations of Beams, Bars, and Cables 7.10 Energy Expressions for Beams References Problems 8. The Torsion of Slender Bodies 8.1 Introduction 8.2 Prandtl Stress-function Formulation 8.3 The Membrane Analogy 8.4 Warping Function Formulation 8.5 Analytical Methods for Approximate Solutions 8.6 Thin-walled Open Sections 8.7 Thin-walled Closed Sections 8.8 Accuracy of Torsion Theory 8.9 Differential Equations for Variable Torque References Problems 9. Stresses Due to Shear in Thin-walled Slender Beams 9.1 Introduction 9.2 Open Sections 9.3 Fluid-flow Analogy 9.4 Shear Center 9.5 Closed Sections 9.6 Effects of Taper 9.7 Transverse Member Loads References Problems 10. Deflection Analysis of Structures 10.1 Introduction 10.2 The Method of Virtual Work 10.3 Equations for δU of Simple Elements 10.4 Relative Displacements 10.5 Flexibility and Stiffness Matrices 10.6 Distributed Loads and Weighting Matrices References Problems 11. Statically Indeterminate Structures 11.1 Introduction 11.2 Application of the Principle of the Stationary Value of the Total Potential 11.3 Application of the Principle of the Stationary Value of the Total Complementary Potential 11.4 Equations for δU' of Simple Elements 11.5 Notes on Basic and Redundant-force Systems 11.6 Elastic-center and Column-analogy Methods References Problems 12. Introduction to Matrix Methods of Structural Analysis 12.1 Introduction 12.2 The Force Method 12.3 Discussion of the Force Method 12.4 Application to Stiffened Shells 12.5 The Displacement Method 12.6 Discussion of the Displacement Method 12.7 Concluding Remarks References Problems 13. The Bending and Extension of Thin Plates 13.1 Introduction 13.2 Geometry of the Reference Surface 13.3 Stress Resultants 13.4 Equilibrium Equations 13.5 Strain-displacement and Compatibility Equations 13.6 Stress-Strain Equations 13.7 Formulations of the Plate Equations 13.8 Boundary Conditions 13.9 The Differential Equations for Plates and Membranes 13.10 The Navier Solution 13.11 Strain Energy of Plates 13.12 Approximate Methods References Problems 14. Primary Bending Instability and Failure of Columns 14.1 Introduction 14.2 Small Deflections of Linearly Elastic Perfect Columns 14.3 Approximate Methods 14.4 Small Deflections of Imperfect Elastic Columns 14.5 Large Deflections of Columns 14.6 Inelastic Columns 14.7 Empirical Column Equations References Problems 15. Instability and Failure of Plates 15.1 Introduction 15.2 Formulation of the Buckling Problem 15.3 Elastic Buckling of a Simply Supported Plate in Uniaxial Compression 15.4 Buckling of Uniform Rectangular Plates with Simple Edge Loadings 15.5 Approximate Methods 15.6 Combined Loads and Interaction Curves 15.7 Effects of Large Deflections and Initial Imperfections 15.8 Inelastic Buckling of Plates 15.9 The Failure of Plates References Problems 16. Instability and Failure of Thin-walled Columns and Stiffened Plates 16.1 Introduction 16.2 Secondary Instability of Columns 16.3 Crippling of Columns 16.4 Failure of Thin-walled Columns 16.5 Compressive Buckling of Stiffened Panels 16.6 Crippling of Stiffened Panels 16.7 Interfastener Buckling and Wrinkling 16.8 Failure of Stiffened Panels References Problems Index