DEPARTMENT OF ENGINEERING MATHEMATICS

EMAT10005

ENGINEERING PHYSICS 1

 

 

EMAT10005  (20 credits)

Organiser:

Prof John Hogan

Lecturer:

Prof John Hogan
Pre-requisites: A-level common core in mathematics, or equivalent
Aims: The main aim of this unit is to ensure that all first year students in Engineering Mathematics and Engineering Design have a firm grounding in the mechanics of materials and in classical mechanics, with applications to engineering.

Learning outcomes:

Students should acquire an understanding of the basic theoretical concepts, be able to derive fundamental formulae from first principles, be able to apply theory to solve practical problems and develop an intuitive feel for the 'right answer' in any given situation.

Organisation & timetable:

See Timetables

Assessments:

Progress test in Jan 2012 (10% weighting) and written exam in May/June 2012 (90% weighting).

Syllabus

Dynamics of particles and rigid bodies

Origins of classical mechanics. Basic concepts. 
Vector definitions of position, velocity and acceleration. Motion in a straight line, in a circle, normal and tangential co-ordinates, polar co-ordinates. 
Newton's laws of motion. Work, energy, linear momentum and angular momentum, impulse, impacts. Conservation laws. Orbits. Rocket dynamics.
Rigid body properties: free body diagrams, moments of inertia. 
Oscillatory motion. Conservative systems. Simple harmonic motion of particles. Damping, forced oscillations and resonance. 

Mechanics of materials
Definitions of stress and strain. Elastic and plastic behaviour. Hooke's law, Poisson's ratio. Free body diagrams.  
Stress and strain of axially-loaded structures. Statically indeterminate structures. Thermal expansion. Strain energy. Impact loading. Stress concentrations. Simple stress calculations. Bending of planar beams.  Point loads and distributed loads.  Shear forces and bending moments.  Curvature of beams.  Buckling.

Materials:  All lecture notes will be on Blackboard.

Books:

Adequate lecture notes are provided, recommended textbook: 

A Introduction to Mathematics for Engineers - Mechanics, Stephen Lee. Publ. Hodder Education. ISBN 978-0-340-96552-8 (2008).

Useful books for background reading are:

Engineering Mechanics: Statics and Dynamics Principles, Bedford, A, Fowler, W L, & Fowler, W T, Prentice Hall (2002)

Mechanics of Materials 5th Edition, Gere J.M, & Timoshenko, S P, Brooks/Cole (2001)

Engineering Mechanics Volume II: Dynamics (4th edition) by Merriam J. L. & Kraige L. G.  Published by John Wiley (1998)

Past exams: See http://www.enm.bris.ac.uk/teaching/local/exam-p-and-s/exams-index.html