## Mechanics I

### Module aims

To bring the freshers, who come from quite varied backgrounds, up to and beyond A-level standard necessary (or equivalent) to succeed in the Civil Engineering degree programme.

### Learning outcomes

At the end of this module you will:

· be able to illustrate the different types of mechanics problems and issues that can arise in civil engineering;

· be able to explain and apply correctly the fundamental principles of mechanics;

· be able to solve problems in statics and dynamics in a systematic way such that solutions can be communicated for verification;

· be able to model basic static and dynamic systems relevant to structural, geotechnical and fluid mechanics, and

· be proficient in applying appropriate analysis methods

### Module syllabus

In the Autumn term with Dr Szabo you will learn the following on the subjects of fundamentals, statics, deformable bodies and mechanical energy:

· Preliminaries: Scalar and vector quantities; mechanical quantities and dimensions. Newton's Laws of motion – concepts of inertia, forces, moments and friction.

· Statics: Static equilibrium in one and two dimensions. Free-body diagrams. Analysis of force and moment systems, manipulation of discrete forces and continuous force distributions. Examples covering simple applications in fluid mechanics, geotechnics and structural mechanics. Centres of mass.

· Deformable bodies and mechanical energy: Introduction to constitutive behaviour, Hooke's law and definition of elastic constants plus stress and strain in 1-dimension. Principle of conservation of energy. Mechanical energy: kinetic, gravitational and elastic potential energy; conservative forces.

In the Spring term with Prof Wadee you will learn the following on the subjects of kinematics, dynamics, and stability of equilibrium:

· Kinematics: Degrees of freedom. Kinematics of systems of particles undergoing rectilinear or curvilinear motion. Rigid body mechanisms: generalised coordinates.

· Dynamics: Kinetics of mechanical systems using Newton's 2nd law of motion; applications focus on free and forced harmonic motion of systems with and without damping.

· Stability of equilibrium: Concepts and demonstrations, perturbations on static systems leading to stable, unstable or critical equilibrium states. Minimum potential energy principles; elastic spring and link models; linear and nonlinear geometries; strain energy; stability analysis with classification of different post-instability (post-buckling) phenomena.

### Assessments

Assessment Information is provided separately in Blackboard Learn.