Theory and Analysis of Flight Structures

✍ Scribed by Robert M. Rivello

• Publisher: McGraw-Hill College
• Tongue: English
• Leaves: 543
• Category: Library

✦ Table of Contents

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