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Introduction to Aircraft Structural Analysis
of: T.H.G. Megson
Elsevier Trade Monographs, 2010
ISBN: 9781856179331 , 648 Pages
Format: PDF, Read online
Copy protection: DRM
Front Cover
1
Title Page
2
Copyright Page
3
Table of Contents
4
Preface
8
Part A: Fundamentals of Structural Analysis
10
Chapter 1. Basic Elasticity
12
1.1 Stress
12
1.2 Notation for Forces and Stresses
14
1.3 Equations of Equilibrium
16
1.4 Plane Stress
18
1.5 Boundary Conditions
18
1.6 Determination of Stresses on Inclined Planes
19
1.7 Principal Stresses
23
1.8 Mohr’s Circle of Stress
25
1.9 Strain
29
1.10 Compatibility Equations
33
1.11 Plane Strain
34
1.12 Determination of Strains on Inclined Planes
34
1.13 Principal Strains
36
1.14 Mohr’s Circle of Strain
37
1.15 Stress–Strain Relationships
37
1.16 Experimental Measurement of Surface Strains
46
Problems
50
Chapter 2. Two-Dimensional Problemsin Elasticity
54
2.1 Two-Dimensional Problems
54
2.2 Stress Functions
56
2.3 Inverse and Semi-Inverse Methods
57
2.4 St. Venant’s Principle
62
2.5 Displacements
63
2.6 Bending of an End-Loaded Cantilever
64
Problems
69
Chapter 3. Torsion of Solid Sections
74
3.1 Prandtl Stress Function Solution
74
3.2 St. Venant Warping Function Solution
84
3.3 The Membrane Analogy
86
3.4 Torsion of a Narrow Rectangular Strip
88
Problems
91
Chapter 4. Virtual Work and Energy Methods
94
4.1 Work
94
4.2 Principle of Virtual Work
95
4.3 Applications of the Principle of Virtual Work
108
Problems
116
Chapter 5. Energy Methods
120
5.1 Strain Energy and Complementary Energy
120
5.2 The Principle of the Stationary Value of the Total Complementary Energy
122
5.3 Application to Deflection Problems
123
5.4 Application to the Solution of Statically Indeterminate Systems
131
5.5 Unit Load Method
147
5.6 Flexibility Method
150
5.7 Total Potential Energy
156
5.8 The Principle of the Stationary Value of the Total Potential Energy
157
5.9 Principle of Superposition
160
5.10 The Reciprocal Theorem
160
5.11 Temperature Effects
165
Problems
167
Chapter 6. Matrix Methods
178
6.1 Notation
179
6.2 Stiffness Matrix for an Elastic Spring
180
6.3 Stiffness Matrix for Two Elastic Springs in Line
181
6.4 Matrix Analysis of Pin-jointed Frameworks
185
6.5 Application to Statically Indeterminate Frameworks
192
6.6 Matrix Analysis of Space Frames
192
6.7 Stiffness Matrix for a Uniform Beam
194
6.8 Finite Element Method for Continuum Structures
202
Problems
220
Chapter 7. Bending of Thin Plates
228
7.1 Pure Bending of Thin Plates
228
7.2 Plates Subjected to Bending and Twisting
232
7.3 Plates Subjected to a Distributed Transverse Load
236
7.4 Combined Bending and In-Plane Loading of a Thin Rectangular Plate
245
7.5 Bending of Thin Plates Having a Small Initial Curvature
249
7.6 Energy Method for the Bending of Thin Plates
250
Problems
259
Chapter 8. Columns
262
8.1 Euler Buckling of Columns
262
8.2 Inelastic Buckling
268
8.3 Effect of Initial Imperfections
272
8.4 Stability of Beams under Transverse and Axial Loads
275
8.5 Energy Method for the Calculation of Buckling Loads in Columns
279
8.6 Flexural–Torsional Buckling of Thin-Walled Columns
283
Problems
296
Chapter 9. Thin Plates
302
9.1 Buckling of Thin Plates
302
9.2 Inelastic Buckling of Plates
305
9.3 Experimental Determination of Critical Load for a Flat Plate
307
9.4 Local Instability
308
9.5 Instability of Stiffened Panels
309
9.6 Failure Stress in Plates and Stiffened Panels
311
9.7 Tension Field Beams
313
Problems
329
Part B: Analysis of Aircraft Structures
334
Chapter 10. Materials
336
10.1 Aluminum Alloys
336
10.2 Steel
338
10.3 Titanium
339
10.4 Plastics
340
10.5 Glass
340
10.6 Composite Materials
340
10.7 Properties of Materials
342
Problems
358
Chapter 11. Structural Components of Aircraft
360
11.1 Loads on Structural Components
360
11.2 Function of Structural Components
363
11.3 Fabrication of Structural Components
368
11.4 Connections
372
Problems
379
Chapter 12. Airworthiness
382
12.1 Factors of Safety-Flight Envelope
382
12.2 Load Factor Determination
384
Chapter 13. Airframe Loads
388
13.1 Aircraft Inertia Loads
388
13.2 Symmetric Maneuver Loads
395
13.3 Normal Accelerations Associated with Various Types of Maneuver
400
13.4 Gust Loads
402
Problems
408
Chapter 14. Fatigue
412
14.1 Safe Life and Fail-Safe Structures
412
14.2 Designing Against Fatigue
413
14.3 Fatigue Strength of Components
414
14.4 Prediction of Aircraft Fatigue Life
418
14.5 Crack Propagation
423
Problems
429
Chapter 15. Bending of Open and Closed, Thin-Walled Beams
432
15.1 Symmetrical Bending
433
15.2 Unsymmetrical Bending
442
15.3 Deflections due to Bending
450
15.4 Calculation of Section Properties
465
15.5 Applicability of Bending Theory
475
15.6 Temperature Effects
475
Problems
480
Chapter 16. Shear of Beams
488
16.1 General Stress, Strain, and Displacement Relationships for Openand Single Cell Closed Section Thin-Walled Beams
488
16.2 Shear of Open Section Beams
492
16.3 Shear of Closed Section Beams
497
Problems
505
Chapter 17. Torsion of Beams
512
17.1 Torsion of Closed Section Beams
512
17.2 Torsion of Open Section Beams
523
Problems
530
Chapter 18. Combined Open and Closed Section Beams
538
18.1 Bending
538
18.2 Shear
538
18.3 Torsion
542
Problems
543
Chapter 19. Structural Idealization
546
19.1 Principle
546
19.2 Idealization of a Panel
547
19.3 Effect of Idealization on the Analysis of Open and Closed Section Beams
550
19.4 Deflection of Open and Closed Section Beams
562
Problems
565
Chapter 20. Wing Spars and Box Beams
570
20.1 Tapered Wing Spar
570
20.2 Open and Closed Section Beams
574
20.3 Beams Having Variable Stringer Areas
580
Problems
583
Chapter 21. Fuselages
586
21.1 Bending
586
21.2 Shear
587
21.3 Torsion
590
21.4 Cutouts in Fuselages
593
Problems
594
Chapter 22. Wings
596
22.1 Three-Boom Shell
596
22.2 Bending
597
22.3 Torsion
599
22.4 Shear
603
22.5 Shear Center
608
22.6 Tapered Wings
609
22.7 Deflections
612
22.8 Cutouts in Wings
614
Problems
622
Chapter 23. Fuselage Frames and Wing Ribs
628
23.1 Principles of Stiffener/Web Construction
628
23.2 Fuselage Frames
634
23.3 Wing Ribs
635
Problems
639
Index
642
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