### Module Descriptor

### MECH3004 Applied Mechanics

Code |
MECH3004 |

Alt. Codes(s) |
None |

Title | Applied Mechanics |

Level |
3 |

UCL units/ECTS |
0.5 / 7.5 |

Start | September |

End | June |

Taught by |
Dr Rebecca Shipley (50%) (Module Coordinator) |

Dr Yuriy Semenov (50%) |

**Prerequisites**

Students considering registering for this course would normally be expected to have completed an intermediate course in materials science and at least and introductory course in mechanics, e.g. MECH2011 and MECH1008, although further exposure to intermediate level courses in mechanics would be advantageous.

**Course Aims**

Students will develop further understanding of the static and dynamic behaviour of elastic bodies. For static behaviour, students will learn how to conduct stress analysis using a commercially available finite element package, how to relate the predicted behaviour to fundamental aspects of the theory of elasticity and how the results can be related to engineering applications. Torsion of non-circular sections (e.g. aircraft wings) and plate theory (e.g. buckling in aircraft structures) will also be studied. For dynamic behaviour, students will study various methods for analysing the natural frequencies and mode shapes for mechanical and structural systems which are either continuous or have multiple degrees of freedom. Development of an understanding of vibration behaviour will be supported by an experimental investigation (with a set up resembling that used for the vibration testing of aircraft wings).

**Method of Instruction**

Lectures, problem classes, one computational assignment and one laboratory class.

**Assessment**

The course has the following assessment components:

- Written Examination (3 hours, 75%)
- One computational assignment (12.5%) and one laboratory (12.5%)

To pass this course, students must:

- Obtain an overall pass mark of 40% for all sections combined

**Recommended Reading
**

- S.P.Timoshenko and J.N.Goodier, Theory of Elasticity, McGraw-Hill, ISBN 0-07-85805-5.
- S.P.Timoshenko and S.Woinowsky-Krieger, Theory of Plates and Shells, McGraw-Hill, ISBN 0-07-085820-9.
- S.S. Rao, Mechanical Vibrations (4th ed.), Pearson/Prentice Hall, 2004, ISBN 0130489875

**Syllabus**

Stress functions. Torsion; prismatic bars; open and multi-cellular sections. Plates: lateral and in plane loading; buckling cylindrical shells and caps. Lagrange's equations and applications to conservative systems. Matrix analysis of linear multi-degree of freedom systems. Vibration of shafts and beams. Damping. The finite element method in stress analysis and vibrations.

Page last modified on 30 sep 13 09:41