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# Aircraft Structures for Engineering Students,

**T.H.G. Megson**

ISBN **0750667397**

Pages **824**

Contents

Part A Fundamentals of Structural Analysis A I Elasticity 1. Basic elasticity 1.1 Stress 1.2 Notation for forces and stress 1.3 Equations of equilibrium 1.4 Plane stress 1.5 Boundary conditions 1.6 Determination of stresses on inclined planes 1.7 Principal Stresses 1.8 Mohr’s circle of stress 1.9 Strain 1.10 compatibility equations 1.11 Plane strain 1.12 Determination of strains on inclined planes 1.13 Principal strains 1.14 Mohr’s circle of strain 1.15 Stress-strain relationships 1.16 Experimental measurement of surface strains 2. Two-dimensional problems in elasticity 2.1 Two-dimensional problems 2.2 Stress functions 2.3 Inverse and semi-inverse methods 2.4 St. Venant’s principle 2.5 Displacements 2.6 Bending of an end-loaded cantilever 3. Torsion of solid sections 3.1 Prandtl stress function solution 3.2 St. Venant warping function solution 3.3 The membrane analogy 3.4 Torsion of a narrow rectangular strip A II Virtual Work, Energy and Matrix Methods 4. Virtual work 4.1 Work 4.2 Principle of virtual work 4.2.1 For a particle 4.2.2 For a rigid body 4.2.3 Virtual work in a deformable body 4.2.4 Work done by internal force systems 4.2.5 Virtual work due to external force systems 4.3.6 Use of virtual force systems 4.3 Applications of the principle of virtual work 5. Energy methods 5.1 Strain energy and complementary energy 5.2 The principle of the stationary value of the total complementary energy 5.3 Application to deflection problems 5.4 Application to the solution of statically indeterminate systems 5.5 Unit load method 5.6 Flexibility method 5.6.1 Self Straining method 5.7 Total potential energy 5.8 the principle of the stationary value of the total potential energy 5.9 Principle of superposition 5.10 Reciprocal theorems 5.11 Temperature effects 6. Matrix methods 6.1 Notation 6.2 Stiffness matrix for an elastic spring 6.3 Stiffness matrix for two elastic springs in line 6.4 Matrix analysis of pin-jointed frameworks 6.5 Application to statically indeterminate frameworks 6.6 Matrix analysis of space frames 6.7 Stiffness matrix for a uniform beam 6.8 Finite element method for continuum structures 6.8.1 Stiffness matrix for a beam-element 6.8.2 Stiffness matrix for a triangular finite element 6.8.3 Stiffness matrix for a quadrilateral element A III Thin Plate Theory 7. Bending of thin plates 7.1 Pure Bending of thin plates 7.2 Plates subjected to bending and twitsting 7.3 Plates subjected to a distributed transverse load 7.3.1 The simply supported edge 7.3.2 The built-in edge 7.3.3 The free edge 7.4 Combined bending and in-plane loading of a thin rectangular plate 7.5 Bending of thin plates having a small initial curvature 7.6 Energy method for the bending of thin plates 7.6.1 Strain energy produced by bending and twisting 7.6.2 Potential energy of a transverse load 7.6.3 Potential energy of in-plane loads A IV Structural Instability 8. Columns 8.1 Euler buckling of columns 8.2 Inelastic buckling 8.3 Effect of initial imperfections 8.4 Stability of beams under transverse and axial loads 8.5 Energy method for the calculation of buckling loads in columns 9. Thin plates 9.1 Buckling of thin plates 9.2 Inelastic buckling of plates 9.3 Experimental determination of critical load for a flat plate 9.4 Local instability 9.5 Instability of stiffened panels 9.6 Failure stress in plates and stiffened panels 9.7 Tension field beams 9.7.1 Complete diagonal 9.7.2 Incomplete diagonal tension 9.7.3 Post buckling behaviour 10. Structural Vibration 10.1 Oscillation of mass/spring systems 10.2 Oscillation of beams 10.3 Approximate methods for determining natural frequencies Part B Analysis of Aircraft Structures B I Principles of Stressed Skin Construction 11. Materials 11.1 Aluminium alloys 11.2 Steel 11.3 Titanium 11.4 Plastics 11.5 Glass 11.6 Composites 11.7 Properties of materials 12. Structural components of aircraft 12.1 Loads on components 12.2 Function of components 12.3 Fabrication of components 12.4 Connections Structural Vibration BII Airworthiness and Airframe Loads 13. Airworthiness 13.1 Factors of safety - flight envelope 13.2 Load factor determination 13.2.1 Limit load 13.2.2 Structural deterioration and uncertainties in design 13.2.3 Variation in structural strength 13.2.4 Fatigue 14. Airframe loads 14.1 Inertia loads 14.2 Symmetric manoeuvre loads 14.2.1 Level flight 14.2.2 General case 14.3 Normal acceleration associated with various types of manoeuvre 14.3.1 Steady pull-out 14.3.2 Correctly banked turn 14.4 Gust loads 14.4.1 Sharp-edged gust 14.4.2 The graded' gust 14.4.3 Gust envelope 15. Fatigue 15.1 Safe life and fail safe structures 15.2 Designing against fatigue 15.3 Fatigue strength of components 15.4 Prediction of aircraft fatigue life 15.5 Creep 15.6 Crack propagation B III Bending