Theory and analysis of flight structures

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