The aim of the module is to enhance students’ knowledge of the principles of mechanics and some essential mathematics and show how they can be used to solve problems.

1. Syllabus

Vectors (including dot product), kinematics – displacement, velocity and acceleration

Newton’s laws of motion: momentum (including collisions) and force (including friction)

Work, power, kinetic and potential energy

Centre of mass

Motion in a circle – kinematics, centripetal force, torque (including cross product of vectors), moment of inertia (including the parallel & perpendicular axis theorem)

Conditions for equilibrium, including applications to simple machines

Mechanics of materials – stress (including shear), strain, elastic moduli, strain energy, torsion of shafts, bending of beams (including second moment of area)

Stresses due to elastic and plastic bending (including neutral plane)

Statically determinate & indeterminate problems (principle of superposition; including temperature Stresses)

Deflections of beams

Discontinuous bending moment functions

Plastic analysis
Vibration of beams (e.g. single degree of freedom spring mass damper systems)

1. Regarding practical work, students will be expected to:

Demonstrate the ability to use the results of mechanical analysis to solve engineering problems and to recommend appropriate action.

Learning Outcomes

By the end of the module students should be able to:

Demonstrate knowledge and understanding of principles of mechanics and methodology necessary to underpin their education in mechanics, to enable appreciation of its scientific and engineering context and to support their understanding of future developments and technologies.

Demonstrate knowledge and understanding of principles of mechanics, including calculations, necessary to underpin their education in mechanics, and to enable them to apply mathematical methods, tools and notations proficiently in the analysis and solution of mechanics problems.