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## ECMM149 - Linear Systems and Structural Analysis (2019)

MODULE TITLE | Linear Systems and Structural Analysis | CREDIT VALUE | 15 |
---|---|---|---|

MODULE CODE | ECMM149 | MODULE CONVENER | Dr Evangelos Papatheou (Coordinator) |

DURATION: TERM | 1 | 2 | 3 |
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DURATION: WEEKS | 12 weeks | 0 | 0 |

Number of Students Taking Module (anticipated) | 0 |
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This module provides the mathematical knowledge and tools required to model and analyse the behaviour of linear structural systems. It will cover the fundamentals of linear systems theory and related mathematical topics such as matrix algebra and signal analysis, alongside an introduction to MATLAB programming. Students will also understand the basic concepts of linear structural analysis and learn to apply these consepts to structural analysis of beams, trusses and frames, while being aware of their strengths and limitations in the context of engineering design.

The purpose of the module is to equip you with the fundamental structural engineering and mathematical concepts required for analysing the behaviour of full-scale civil structures. Its content will serve as a foundation towards learning the more sophisticated mechanics and mathematical concepts required to understand more complex phenomena in real-life structures (e.g. dynamics). Its specific aims are to cover the following topics:

- MATLAB programming appropriate for an intermediate level user
- Linear algebra e.g. matrix computation
- Signal analysis e.g. Fourier analysis, frequency response function
- Static and kinematic indeterminacy of structures
- Structural analysis techniques – e.g. slope-deflection method, virtual work
- Matrix methods for structural analysis - e.g. stiffness matirix method

This is a constituent module of one or more degree programmes which are accredited by a professional engineering institution under licence from the Engineering Council. The learning outcomes for this module have been mapped to the output standards required for an accredited programme, as listed in the current version of the Engineering Council’s ‘Accreditation of Higher Education Programmes’ document (AHEP-V3).

This module contributes to learning outcomes: **SM1fl, SM3fl, EA1fl, D1fl, D2fl, ET1fl, EP1fl, EP2fl, EP3fl, G1fl-G4fl.**

A full list of the referenced outcomes is provided online: http://intranet.exeter.ac.uk/emps/subjects/engineering/accreditation/

The AHEP document can be viewed in full on the Engineering Council’s website, at http://www.engc.org.uk/

On successful completion of this module ** you should be able to**:

**Module Specific Skills and Knowledge**

2. Write programs in MATLAB that aid in the analysis of linear systems

**Discipline Specific Skills and Knowledge**

5. Demonstrate comprehensive understanding of basic structural analysis techniques from first principles to enable research into behaviour and performance assessment of linear structural systems

**Personal and Key Transferable / Employment Skills and Knowledge**

8. Demonstrate conceptual understanding of techniques required to model and analyse the behaviour of simple structural systems

**Linear Systems**

- Introduction to systems and signals
- Introduction to MATLAB
- Linear algebra
- Continuous systems
- Fourier analysis
- Frequency response functions

**Statics and Linear Elastic Analysis**

- Review of static determinacy
- Qualitative structural analysis
- Deflection of beams
- Moment-curvature relationship
- Slope deflection method
- Virtual work
- Stiffness matrix method

Scheduled Learning & Teaching Activities | 33.00 | Guided Independent Study | 117.00 | Placement / Study Abroad | 0.00 |
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Category | Hours of study time | Description |

Scheduled Learning & Teaching activities | 22 | involving both theoretical aspects as well as examples showing application of taught techniques on various problems |

Scheduled Learning & Teaching activities | 11 | nvolving hands-on problem-solving activities, ably supported by postgraduate students |

Guided independent study | 120 | Reading list, lecture notes, etc.; Sample problem sheets; Material will made available for online access through ELE. |

Form of Assessment | Size of Assessment (e.g. duration/length) | ILOs Assessed | Feedback Method |
---|---|---|---|

There will be opportunities to reflect on and review work undertaken towards assessed Coursework | Discussion within Tutorials | ||

Coursework | 30 | Written Exams | 70 | Practical Exams | 0 |
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Form of Assessment | % of Credit | Size of Assessment (e.g. duration/length) | ILOs Assessed | Feedback Method |
---|---|---|---|---|

Coursework 1 | 15 | 3 hours | 1, 2, 4, 7 | Marked and returned |

Coursework 2 | 15 | 3 hours | 3, 5, 6, 8, | Marked and returned |

Examination | 70 | 2 hours - January Exam | 1-9 | Mark returned |

Original Form of Assessment | Form of Re-assessment | ILOs Re-assessed | Time Scale for Re-assessment |
---|---|---|---|

As above | Examination | 1-9 | Ref/def period |

All referred/deferred assessments will be by Written Exam.

information that you are expected to consult. Further guidance will be provided by the Module Convener

**Basic reading:**

**Web based and Electronic Resources:**

**Other Resources:**

Reading list for this module:

Type | Author | Title | Edition | Publisher | Year | ISBN | Search |
---|---|---|---|---|---|---|---|

Set | Smith, S.W. | The scientist and engineer's guide to digital signal processing | 1997-2011 | California technical publishing | 1997 | [Library] | |

Set | Williams MS and Todd DJ | Structures: Theory and Analysis | Palgrave Macmillan | 2000 | 9780333677605. | [Library] |

CREDIT VALUE | 15 | ECTS VALUE | 7.5 |
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PRE-REQUISITE MODULES | None |
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CO-REQUISITE MODULES | None |

NQF LEVEL (FHEQ) | 7 | AVAILABLE AS DISTANCE LEARNING | No |
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ORIGIN DATE | Thursday 06 July 2017 | LAST REVISION DATE | Monday 18 February 2019 |

KEY WORDS SEARCH | Structural mechanics, linear algebra, fourier transform, stiffness matrix, frequency response, determinacy virtual work |
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