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.

Teaching methods

Assessments

Assessment Information is provided separately in Blackboard Learn.

Reading list

Module leaders

Professor Ahmer Wadee