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2010/1 Module Catalogue
 Module Code: ENG2026 Module Title: MECHANICS OF SOLIDS 2A
Module Provider: Mechanical, Medical & Aero Engineering Short Name: SE3201
Level: HE2 Module Co-ordinator: SMITH PA Prof (M, M & A Eng)
Number of credits: 10 Number of ECTS credits: 5
Module Availability
Autumn Semester
Assessment Pattern

Units of Assessment
Weighting towards Module Mark (%)
Marked tutorials or tests

Module Overview
The module consists of two parts: Stress Analysis & Dynamics

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

Module Aims

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.

Learning Outcomes

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.

Module Content

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.


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

Methods of Teaching/Learning

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

Total student learning time 100 hours.

Selected Texts/Journals

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




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




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




Popov EP, Mechanics of Materials, 2nd 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)

Last Updated

24 July 2008