Mechanics of Aircraft Structures, Second Edition
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More About This Title Mechanics of Aircraft Structures, Second Edition

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Designed to help students get a solid background in structural mechanics and extensively updated to help professionals get up to speed on recent advances

This Second Edition of the bestselling textbook Mechanics of Aircraft Structures combines fundamentals, an overview of new materials, and rigorous analysis tools into an excellent one-semester introductory course in structural mechanics and aerospace engineering. It's also extremely useful to practicing aerospace or mechanical engineers who want to keep abreast of new materials and recent advances. Updated and expanded, this hands-on reference covers:
* Introduction to elasticity of anisotropic solids, including mechanics of composite materials and laminated structures
* Stress analysis of thin-walled structures with end constraints
* Elastic buckling of beam-column, plates, and thin-walled bars
* Fracture mechanics as a tool in studying damage tolerance and durability

Designed and structured to provide a solid foundation in structural mechanics, Mechanics of Aircraft Structures, Second Edition includes more examples, more details on some of the derivations, and more sample problems to ensure that students develop a thorough understanding of the principles.

English

C. T. SUN, PHD, is the Neil A. Armstrong Distinguished Professor inthe School of Aeronautics and Astronautics at Purdue University in West Lafayette, Indiana, and the recipient of the 2004 Purdue University Research Award. Dr. Sun teaches composites, elasticity, fracture mechanics, and aircraft structures. He is a Fellow of both the American Institute of Aeronautics and Astronautics (AIAA), the American Society of Mechanical Engineers (ASME), and the American Society for Composites (ASC).

English

Preface xiii

Preface to the First Edition xv

1 Characteristics of Aircraft Structures and Materials 1

1.1 Introduction / 1

1.2 Basic Structural Elements in Aircraft Structure / 2

1.2.1 Axial Member / 2

1.2.2 Shear Panel / 4

1.2.3 Bending Member (Beam) / 5

1.2.4 Torsion Member / 7

1.3 Wing and Fuselage / 8

1.3.1 Load Transfer / 9

1.3.2 Wing Structure / 10

1.3.3 Fuselage / 11

1.4 Aircraft Materials / 12

Problems / 17

2 Introduction to Elasticity 19

2.1 Concept of Displacement / 19

2.2 Strain / 21

2.3 Stress / 25

2.4 Equations of Equilibrium in a Nonuniform Stress Field / 28

2.5 Principal Stress / 31

2.6 Shear Stress / 34

2.7 Revisit of Transformation of Stress / 36

2.8 Linear Stress-Strain Relations / 38

2.8.1 Strains Induced by Normal Stress / 39

2.8.2 Strains Induced by Shear Stress / 42

2.8.3 Three-Dimensional Stress-Strain Relations / 43

2.9 Elastic Strain Energy / 47

2.10 Plane Elasticity / 49

2.10.1 Stress-Strain Relations for Plane Isotropic Solids / 50

2.10.2 Stress-Strain Relations for Orthotropic Solids in Plane Stress / 53

2.10.3 Governing Equations / 54

2.10.4 Solution by Airy Stress Function for Plane Isotropic Solids / 56

Problems / 57

3 Torsion 63

3.1 Saint-Venant’s Principle / 63

3.2 Torsion of Uniform Bars / 67

3.3 Bars with Circular Cross-Sections / 74

3.4 Bars with Narrow Rectangular Cross-Sections / 77

3.5 Closed Single-Cell Thin-Walled Sections / 81

3.6 Multicell Thin-Walled Sections / 91

3.7 Warping in Open Thin-Walled Sections / 96

3.8 Warping in Closed Thin-Walled Sections / 101

3.9 Effect of End Constraints / 103

Problems / 110

4 Bending and Flexural Shear 115

4.1 Derivation of the Simple (Bernoulli–Euler) Beam Equation / 115

4.2 Bidirectional Bending / 120

4.3 Transverse Shear Stress due to Transverse Force in Symmetric Sections / 128

4.3.1 Narrow Rectangular Cross-Section / 128

4.3.2 General Symmetric Sections / 130

4.3.3 Thin-Walled Sections / 132

4.3.4 Shear Deformation in Thin-Walled Sections / 133

4.4 Timoshenko Beam Theory / 136

4.5 Shear Lag / 140

Problems / 144

5 Flexural Shear Flow in Thin-Walled Sections 149

5.1 Flexural Shear Flow in Open Thin-Walled Sections / 149

5.1.1 Symmetric Thin-Walled Sections / 150

5.1.2 Unsymmetric Thin-Walled Sections / 155

5.1.3 Multiple Shear Flow Junctions / 157

5.1.4 Selection of Shear Flow Contour / 158

5.2 Shear Center in Open Sections / 159

5.3 Closed Thin-Walled Sections and Combined Flexural and Torsional Shear Flow / 165

5.3.1 Shear Center / 167

5.3.2 Statically Determinate Shear Flow / 171

5.4 Closed Multicell Sections / 173

Problems / 177

6 Failure Criteria for Isotropic Materials 183

6.1 Strength Criteria for Brittle Materials / 183

6.1.1 Maximum Principal Stress Criterion / 184

6.1.2 Coulomb–Mohr Criterion / 184

6.2 Yield Criteria for Ductile Materials / 186

6.2.1 Maximum Shear Stress Criterion (Tresca Yield Criterion) in Plane Stress / 187

6.2.2 Maximum Distortion Energy Criterion (von Mises Yield Criterion) / 188

6.3 Fracture Mechanics / 193

6.3.1 Stress Concentration / 193

6.3.2 Concept of Cracks and Strain Energy Release Rate / 194

6.3.3 Fracture Criterion / 196

6.4 Stress Intensity Factor / 201

6.4.1 Symmetric Loading (Mode I Fracture) / 201

6.4.2 Antisymmetric Loading (Mode II Fracture) / 204

6.4.3 Relation between K and G / 206

6.4.4 Mixed Mode Fracture / 210

6.5 Effect of Crack Tip Plasticity / 211

6.6 Fatigue Failure / 214

6.6.1 Constant Stress Amplitude / 215

6.6.2 S–N Curves / 215

6.6.3 Variable Amplitude Loading / 216

6.7 Fatigue Crack Growth / 217

Problems / 219

7 Elastic Buckling 225

7.1 Eccentrically Loaded Beam-Column / 225

7.2 Elastic Buckling of Straight Bars / 227

7.2.1 Pinned–Pinned Bar / 228

7.2.2 Clamped–Free Bar / 231

7.2.3 Clamped–Pinned Bar / 232

7.2.4 Clamped–Clamped Bar / 234

7.2.5 Effective Length of Buckling / 235

7.3 Initial Imperfection / 236

7.4 Postbuckling Behavior / 238

7.5 Bar of Unsymmetric Section / 244

7.6 Torsional–Flexural Buckling of Thin-Walled Bars / 246

7.6.1 Nonuniform Torsion / 246

7.6.2 Torsional Buckling of Doubly Symmetric Section / 248

7.6.3 Torsional–Flexural Buckling / 251

7.7 Elastic Buckling of Flat Plates / 256

7.7.1 Governing Equation for Flat Plates / 256

7.7.2 Cylindrical Bending / 258

7.7.3 Buckling of Rectangular Plates / 259

7.7.4 Buckling under Shearing Stresses / 263

7.8 Local Buckling of Open Sections / 264

Problems / 266

8 Analysis of Composite Laminates 271

8.1 Plane Stress Equations for Composite Lamina / 271

8.2 Off-Axis Loading / 277

8.3 Notation for Stacking Sequence in Laminates / 280

8.4 Symmetric Laminate under In-Plane Loading / 282

8.5 Effective Moduli for Symmetric Laminates / 285

8.6 Laminar Stresses / 288

8.7 [±45°] Laminate / 290

Problems / 292

Index 295

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