Module Code: ENG2026 
Module Title: MECHANICS OF SOLIDS 2A 

Module Provider: Mechanical, Medical & Aero Engineering

Short Name: SE3201

Level: HE2

Module Coordinator: 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

Method(s)

Weighting towards Module Mark (%)

Coursework

Marked tutorials or tests

25%

Examination


75%




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


Prerequisites/Corequisites 
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 multiaxial stresses and strains, stressstrain 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 multiaxial 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:
 Multiaxial stress and stress transformation
 Stress transformation of twodimensional 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.
Stressstrain 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 MohrCoulomb.
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



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, 1^{st} Edition, 2008 (ISBN: 9780470723005).
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, McGrawHill, 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) 


Last Updated 
24 July 2008 


