Units of Assessment	Method(s)	Weighting towards Module Mark (%)
Coursework	Marked tutorials or tests	25%
Examination		75%

Completion of the progress requirements of Level HE1 Module ENG1008 Statics & Dynamics

To develop an understanding of (a) the elastic responses of solid components to externally applied loads including multi-axial stresses and strains, stress-strain relationship, failure criteria and (b) the dynamic response of undamped, damped and free and forced vibration of a single degree of freedom system.

Upon successful completion of the module, students should be able to design simple components under multi-axial stress states by using a combination of stress analysis and the appropriate failure criterion.  Students should also be able to determine the natural frequency and dynamic response of systems with a single degree of freedom, should be able to determine the forced response of a single degree of freedom and should be able to design vibration isolators for vibrating mechanical systems.

Stress Analysis:

• Multi-axial stress and stress transformation
• Stress transformation of two-dimensional stress states, principal stresses.
• Strain and strain gauges.
• Strain transformation and principal strains. Measurement of strains using strain gauges.

Geometric properties of a section.

• Strain transformation and principal strains. Measurement of strains using strain gauges.

Stress-strain relationship.

• Poisson’s ratio and generalised Hooke’s law, relationship between G, E and n.

Failure criteria for engineering materials.

• Failure criteria according to Rankine, Tresca, von Mises and Mohr-Coulomb.

Dynamics:

Vibration of systems with a single degree of freedom.

• Undamped free vibration
• Equation of motion using Energy method
• Time response
• Systems with rotational DOF
• Viscous damped free vibration
• Overdamped system
• Critically damped system
• Underdamped system

Forced vibration of a Single Degree of Freedom System

• Undamped forced vibration - Harmonic force
• Viscous damped force vibration - Harmonic force
• General forced response
• Response to an impulse
• Response to a general forcing condition
• Vibration isolation
  
  

26 lectures, 12 tutorials and 62 hours independent student learning time.

Total student learning time 100 hours.

Magd Abdel Wahab, Dynamics and Vibration: An introduction, John Wiley & Sons Ltd, 1^st Edition, 2008 (ISBN: 978-0-470-72300-5).

Gere JM and Timoshenko SP, Mechanics of Materials, 4^th ed, Stanley Thornes, 1999.  (ISBN 07487 3998x)

Timoshenko SP and Goodier JN, Theory of Elasticity, 3^rd ed, McGraw-Hill, 1982.  (ISBN 00708 58055)

Popov EP, Mechanics of Materials, 2^nd ed, Prentice Hall, 1978.  (ISBN 01357 12998)

Chen WF and Zhang H, Structural Plasticity, Springer Verlag, 1990.  (ISBN 03879 67893)

Calladine CR, Plasticity for Engineers, Ellis Horwood, 1985.  (ISBN 08531 29517)

24 July 2008