Introduction to Aerospace Structural Analysis

by David H. Allen; Walter Haisler

• ISBN13: 9780471888390
• ISBN10: 0471888397
• Format: Paperback
• Copyright: 1985-02-01
• Publisher: Wiley

Summary

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.

Table of Contents

HISTORICAL INTRODUCTION	1	(480)
The Structural Design Concept	9	(19)
The Structural Design Problem	9	(1)
The Design Process in the Aerospace Industry	10	(1)
Analysis Versus Experimentation	10	(1)
The Role of Structural Analysis	11	(1)
Factor of Safety	11	(1)
Summary	12	(16)
Mechanics of Aerospace Structures	28	(49)
Axioms of Nature	28	(4)
Kinetics	29	(1)
Conservation of Mass	29	(1)
Conservation of Momentum	30	(1)
Thermodynamics (Optional)	31	(1)
Conservation of Energy	31	(1)
Entropy Production	31	(1)
Stress	32	(23)
The Concept of Stress	32	(2)
The Stress Tensor	34	(3)
Differential Equations of Equilibrium	37	(6)
Planar Stress Transformations	43	(1)
Mohr's Circle for Plane Stress	44	(2)
Analysis of Stress at a Point Using Mohr's Circle	46	(2)
Three-dimensional Stress Analysis at a Point (Optional)	48	(7)
Kinematics	55	(11)
Deformation and the Concept of Strain	55	(2)
Engineering Strain	57	(5)
Strain Compatibility Equations (Optional)	62	(2)
Displacement Boundary Conditions	64	(1)
Planar Strain Transformations	64	(2)
Summary of Mechanics	66	(11)
Constitution of Aerospace Materials	77	(68)
Uniaxial Thermomechanical Constitution of Solids	78	(19)
Uniaxial Elastic Thermomechanical Constitution	84	(1)
Uniaxial Viscous Mechanical Constitution	85	(2)
Uniaxial Viscoelastic Mechanical Constitution	87	(8)
Uniaxial Elastic-Plastic Mechanical Constitution	95	(1)
Summary of Uniaxial Thermomechanical Constitution	96	(1)
Yield Criteria	97	(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