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BEAE4 : AIRCRAFT STRUCTURE – I
Chapter 1 : Elasticity
Stress, Notation for forces and stresses, Equations of equilibrium, Plane stress, Boundary Conditions, Determination of stresses on inclined planes, Principles stresses, Mohr’s circle of stress, Strain, Compatibility equations, Plane strain, Determination of strains on inclined planes, Principal strains, Mohr’s circle of strain, Stress-strain relationships
Chapter 2 : Two –dimensional problems in elasticity
Two-dimensional problems, Stress functions, Inverse and semi-inverse methods, St. Venant’s principle, Displacements, Bending of an end-loaded cantilever.
Chapter 3 : Torsion of solid sections
Prandtl stress function solution, St. Venant warping function solution, The membrane analogy, Torsion of a narrow rectangular strip.
Chapter 4: Energy methods of structural analysis
Strain energy and complementary energy, Total potential energy, Principle of virtual work, The principle of the stationary value of the total potential energy, The principle of the stationary value of the total complementary energy, Application of deflection problems, Application to the solution of statically indeterminate systems, Unit load method, Principle of superposition , The reciprocal theorem, Temperature effects.
Chapter 5 : Bending of thin plates
Pure bending of thin plates, Plates subjected to bending and twisting, Plates subjected to a distributed transverse load, Combined bending and in-plane loading of a thin rectangular plane, Energy method for the bending of thin plates.
Chapter 6 : Structural instability
Euler buckling of columns, Inelastic buckling, Effect of initial imperfections, Stability of beams under transverse and axial loads, Energy method for the calculation of buckling loads in columns , Buckling of thin plates, Inelastic of thin plates, Experimental determination of critical load for a flat plate, local instability, Instability of stiffened panels, Failure stress in plates and stiffened panels, Flexural – torsional buckling of thin –walled columns, Tension field beams.
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