Statics of one-dimensional structures (16 Lectures + 2 large group tutorials = 18 hrs)
1.The role of mechanics in the design of aerospace structures – fuselage, wing, and transmission elements under loading.
2.Forces and equilibrium. Free body diagrams – stress variations in a spinning blade?
3.Stress and strain
4.Equilibrium in the context of trusses (2 lectures): modern space structures and early fuselage designs.
5.Thin beams: shear force and bending moment. Aircraft wing and helicopter blades as illustrative examples
6.Beams contd.: deflection, bending moment, shear force relationship
7.Beams contd.: stress distribution over a cross-section
8.Interlude: second moment – of area (for statics), of mass (for dynamics). Box sections of a wing, Airfoil cross-sections.
9.Beam deflection from integration of the equilibrium
10.Deflection under bending using Macaulay’s method
11.Statically indeterminate structures: beams and trusses
12.Structural stability: Column buckling under various end conditions
13.Torsion of circular shafts.
14.Principal stresses/principal strains/principal moments of inertia and principal directions as eigenvalues and eigenvectors.
Statics in two- and three-dimensions (9 Lectures + 2 large group tutorials – includes 1 revision = 11 hrs)
1.Stresses is pressurised shells, e.g., fuselage – biaxial state of stress
2.The state of stress at a point
3.Strain at a point
4.Thermal strains
5.Generalized Hook’s law
6.Stress transformation: stresses on an inclined plane
7.Mohr’s circle
8.Strain transformation and measurements
9.Failure criteria (Tresca and von Mises)
Dynamics (9 lectures + 2 large group tutorials – includes 1 revision = 11 hrs)
1.Linear motion
2.Curvilinear motion
3.Work energy and power
4.Linear and angular impulse and momentum
5.Small oscillations of a one-degree-of-freedom mechanical system
6.Rigid bodies: Kinematics and kinetics: connection with aircraft dynamics?
7.Work and energy for rigid bodies
8.Impulse and momentum for rigid bodies
Small group tutorials: 5 hrs
Lab sessions: 3 hrs