Statics & Dynamics

Learning Outcomes

Partial CEng Programme Level Learning Outcomes

Having successfully completed this module you will be able to:

• Use practical laboratory skills to investigate structural response under static and dynamic loading. This will be assessed through quizzes for the labs.
• Formulate and analyse complex problems in aerospace mechanics that involve using available data, mathematics, and engineering principles. Use engineering judgment to appropriate techniques discussing their limitations. This will be assessed in quizzes as well as report/essay.
• Select and evaluate peer-reviewed literature and other sources of information to address the development of aerospace systems. This will be assessed through a short laboratory report.
• Apply a comprehensive knowledge of mathematics and principles to the solution of complex aerospace engineering problems as applied the determination of structural failure, sizing and design, which is assessed via quizzes, labs and final assessment
• Select and apply appropriate computational and analytical techniques to model complex aerospace mechanics problems with sufficient recognition on the limitations of the technique. These are assessed in quizzes, labs and final assessment.

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

Teaching methods include: * Lectures (cohort) * Worked examples and problem sheets (Large group tutorials + small group tutorials) * Laboratory (small groups) Learning activities include: * Working through examples in lectures and self-study time * Laboratory * Directed reading

Summative

This is how we’ll formally assess what you have learned in this module.