Introduction to Aerospace Structural Analysis

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ISBN: 9780471888390 | 0471888397
Cover: Paperback
Copyright: 2/1/1985

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This text provides students who have had statics and introductory strength of materials with the necessary tools to perform stress analysis on aerospace structures such as wings, tails, fuselages, and space frames. It progresses from introductory continuum mechanics through strength of materials of thin-walled structures to energy methods, culminating in an introductory chapter on the powerful finite element method.

HISTORICAL INTRODUCTION

(480)

The Structural Design Concept

(19)

The Structural Design Problem

(1)

The Design Process in the Aerospace Industry

(1)

Analysis Versus Experimentation

(1)

The Role of Structural Analysis

(1)

Factor of Safety

(1)

Summary

(16)

Mechanics of Aerospace Structures

(49)

Axioms of Nature

(4)

Kinetics

(1)

Conservation of Mass

(1)

Conservation of Momentum

(1)

Thermodynamics (Optional)

(1)

Conservation of Energy

(1)

Entropy Production

(1)

Stress

(23)

The Concept of Stress

(2)

The Stress Tensor

(3)

Differential Equations of Equilibrium

(6)

Planar Stress Transformations

(1)

Mohr's Circle for Plane Stress

(2)

Analysis of Stress at a Point Using Mohr's Circle

(2)

Three-dimensional Stress Analysis at a Point (Optional)

(7)

Kinematics

(11)

Deformation and the Concept of Strain

(2)

Engineering Strain

(5)

Strain Compatibility Equations (Optional)

(2)

Displacement Boundary Conditions

(1)

Planar Strain Transformations

(2)

Summary of Mechanics

(11)

Constitution of Aerospace Materials

(68)

Uniaxial Thermomechanical Constitution of Solids

(19)

Uniaxial Elastic Thermomechanical Constitution

(1)

Uniaxial Viscous Mechanical Constitution

(2)

Uniaxial Viscoelastic Mechanical Constitution

(8)

Uniaxial Elastic-Plastic Mechanical Constitution

(1)

Summary of Uniaxial Thermomechanical Constitution

(1)

Yield Criteria

(4)

Multiaxial Constitution of Elastic Solids

101

(25)

Thermodynamics of Elastic Solids (Optional)

101

(4)

Mechanical Constitutive Equations for Anisotropic Solids

105

(1)

The Elastic Field Problem

106

(1)

Mechanical Constitutive Equations for Orthotropic Hookean Solids

106

(1)

Mechanical Constitutive Equations for Isotropic Hookean Solids

107

(12)

Mechanical Constitutive Equations for Transversely Isotropic Hookean Solids (Optional)

119

(7)

Multiaxial Constitution of Thermoelastic Solids

126

(9)

Thermodynamics of Thermoelastic Solids (Optional)

126

(5)

The Thermoelastic Field Problem

131

(1)

Mechanical Constitutive Equations for Isotropic Linear Thermoelastic Solids

132

(3)

Linearity and the Principle of Superposition

135

(1)

Summary Of Constitution

136

(9)

Theory and Analysis of Advanced Beams

145

(105)

Development of Equations for Bars and Beams by the Applied Elasticity Approach

146

(8)

Uniaxial Bars

146

(3)

Simple Beams

149

(5)

Equilibrium of Advanced Beams

154

(10)

Resultant Forces and Moments

155

(2)

Linear Differential Equations of Equilibrium

157

(7)

Bending and Extension of Advanced Beams

164

(23)

Simplifying Assumptions

164

(2)

Axial Stresses and Strains Due to Bending and Extension

166

(1)

Axial Stresses and Strains in Linear Elastic Homogeneous Beams

166

(5)

Axial Stresses and Strains in Linear Thermoelastic Heterogeneous Beams

171

(4)

Determination of Modulus Weighted Section Properties

175

(8)

Deformations Due to Bending and Extension

183

(4)

Torsion In Thin-Walled Closed Sections

187

(18)

Simplifying Assumptions for Torsion of Thin-Walled Closed Sections

188

(5)

Torsion Stresses and Strains in Single-cell Thin-Walled Closed Sections

193

(3)

Torsional Deformations in Single-cell Thin-Walled Closed Sections

196

(4)

Analysis of Multicell Closed Sections in Torsion

200

(5)

Shear In Advanced Beams

205

(24)

Simplifying Assumptions for Thin-Walled Sections in Shear

206

(1)

Shearing Stresses in Thin-Walled Open Sections

206

(5)

Determination of Modulus Weighted Section Properties

211

(4)

Shear Center

215

(5)

Shearing Stresses, Strains, and Deformations in Single-cell Thin-Walled Closed Sections

220

(3)

Analysis of Multicell Thin-Walled Sections in Shear

223

(6)

Analysis of Beams Under Combined Loading Conditions

229

(21)

Work And Energy Principles

250

(79)

Introduction

250

(1)

Concept of Work and Potential

251

(2)

Virtual Work and Equilibrium

253

(28)

Virtual Work of a Particle

253

(3)

Virtual Work for Rigid Mechanisms

256

(6)

Virtual Work for a Uniaxial Deformable Bar

262

(5)

Virtual Work for Beams in Bending and Extension

267

(2)

Discretized From of Virtual Work for an Elastic Beam

269

(6)

Virtual Work in a General Deformable Body (Optional)

275

(4)

Complementary Virtual Work in a Deformable Body (Optional)

279

(2)

External Potential Energy

281

(3)

Strain Energy and Complementary Strain Energy

284

(10)

Strain Energy and Complementary Strain Energy in a Uniaxial Bar

284

(5)

Strain Energy and Complementary Strain Energy in Advanced Beams

289

(2)

Strain Energy and Complementary Strain Energy in a General Elastic Body (Optional)

291

(3)

Potential Energy and Complementary Potential Energy Theorems

294

(17)

Principle of Minimum Potential Energy

295

(8)

Castigliano's Theorems

303

(4)

Unit Load Method

307

(4)

Introduction to Stability Analysis (Optional)

311

(18)

Deformation and Force Analysis of Aerospace Structures

329

(70)

Introduction

329

(1)

Statically Indeterminate Structures

330

(3)

Simple Examples of Deformation Analysis

333

(13)

Determinate Structures

333

(5)

Indeterminate Structures

338

(8)

Flexibility Method

346

(24)

Introduction

346

(1)

General Form of Flexibility Method

347

(4)

Special Cases of Flexibility Coefficients

351

(19)

Rayleigh-Ritz Method

370

(7)

Stiffness Method

377

(6)

Introduction

377

(1)

General Form

377

(6)

Comments on Stiffness and Flexibility Methods

383

(1)

Shear Lag (Optional)

384

(15)

Introduction to Finite Element Stiffness Method

399

(82)

Introduction

399

(8)

Finite Element Concept

407

(37)

Discretization

407

(4)

Element Equilibrium Equations

411

(1)

Strain Energy Potential and Stiffness Matrix

411

(1)

External Potential and Force Matrix

412

(2)

Element Equilibrium Equations

414

(1)

Transformation of Element Equations to Global Axes

415

(4)

Physical Meaning of Stiffness Coefficients

419

(1)

Formation of Structural Equilibrium Equations and Assembly of Equations

420

(3)

Transformation Approach

423

(6)

Force Equilibrium Approach (Optional)

429

(1)

Boundary Conditions

430

(3)

Solution of Structural Equilibrium Equations

433

(1)

Direct Method for Assembly and Boundary Conditions (Optional)

433

(4)

Element Forces, Stresses, and Strains

437

(6)

Thermal Forces (Optional)

443

(1)

Stiffness and Force Matrices for Other Simple Elements

444

(14)

Three-dimensional Truss Element

445

(1)

Beam Element

446

(11)

Web-Stringer Element for Semimonocoque Beam Analysis

457

(1)

Elements for More Complex Applications

458

(3)

Plane Stress/Plane Strain Triangular Element---The CST (Optional)

461

(20)

APPENDIX: REVIEW OF ELEMENTARY STRENGTH OF MATERIALS

481

(20)

A.1 Uniaxial Bars

481

(3)

A.2 Thin-Walled Cylindrical Pressure Vessels

484

(1)

A.3 Torsion of Circular Bars

485

(2)

A.4 Simple Beam Shear and Moment Equations

487

(3)

A.5 Beam Bending

490

(3)

A.6 Beam Shear Stresses

493

(2)

A.7 Properties of Plane Areas

495

(6)

Index

501

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Introduction to Aerospace Structural Analysis

Summary

Table of Contents

Supplemental Materials

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