Undergraduate Course: Structural Mechanics 2B (CIVE08010)
Course Outline
| School | School of Engineering |
College | College of Science and Engineering |
| Credit level (Normal year taken) | SCQF Level 8 (Year 2 Undergraduate) |
Availability | Available to all students |
| SCQF Credits | 10 |
ECTS Credits | 5 |
| Summary | This course builds upon the basic principles of structural mechanics learnt in Structural Mechanics 2A (SCEE08002). It investigates more complex types of structure, and focuses upon structural mechanics in a civil engineering context. The course describes the behaviour of beams under complex and combined loads (including moving loads), the 2D mechanics of materials, the buckling of columns, the analysis of trusses, introduces elasto-plastic and plastic sectional analysis, and introduces the analysis of indeterminate structures. |
| Course description |
This course follows a traditional lecture format, with weekly tutorials and a laboratory exercise that explore the concepts introduced in lectures.
LECTURE TOPICS
Topic 1 - Introduction and Buckling
- Course structure and context.
- Euler buckling, bifurcation states and eigenvalue analysis
- Support conditions, effective length, slenderness ratio, major and minor axis buckling.
- Effect of imperfections: partial yielding, geometric imperfection, eccentric loading. Southwell plots.
Topic 2 - Trusses
- Truss analysis using the method of sections and the method of joints
- Deflections in simple determinate trusses.
Topic 3 - 2D Stress and Strain Analysis
- Stress transformations in 2D by equilibrium and using Mohr's circle; principal stresses and directions.
- von Mises and Tresca failure criteria in 2D and 3D.
- 3D elastic constitutive relationships; plane stress; plane strain.
- Mohr's Circle for Strain. Strain gauge rosettes.
Topic 4 - Material non-linearity and plasticity
- Non-linear stress-strain behaviour. Response of beams with non-linear material. Fully plastic bending.
Topic 5 - Beam analysis
- The fundamental differential equation for bending.
- Discontinuities of loading. Macaulay bracket analysis to determine beam deflection under various load cases.
Topic 6 - An introduction to statically indeterminate structures.
- Determinacy and compatibility in simple beams.
- Indeterminate analysis by superposition.
Topic 7 - Moving loads and load combinations.
- Influence lines for reactions and stress resultants. Trains of loads.
- Moment envelopes for indeterminate beams
TUTORIALS
T1 Warm-up exercises
T2 Buckling of columns
T3 Analysis of trusses
T4 Stress transformation and failure criteria
T5 2D elasticity and strain transformation
T6 Non-linear and fully-plastic behaviour
T7 Deflection of beams
T8 Simple redundant beams
T9 Moving loads and load combinations
LABORATORY EXERCISE
The laboratory exercise investigates one aspect of the Structural Mechanics 2B course material in detail. Each student must attend a 3 hour session and write a full lab report, due two weeks after their lab session.
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Entry Requirements (not applicable to Visiting Students)
| Pre-requisites |
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Co-requisites | Students MUST also take:
Structural Mechanics 2A (SCEE08002)
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| Prohibited Combinations | |
Other requirements | None |
| Additional Costs | YES: This course involves laboratories that require personal protective equipment (PPE), including safety boots, eye protection, riggers gloves and impervious concreting gloves. Further details are given in the School of Engineering handbook. |
Information for Visiting Students
| Pre-requisites | Can only be taken by visiting students who have also attended "U00460: Structural Mechanics 2A" in semester 1 |
Course Delivery Information
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| Academic year 2015/16, Available to all students (SV1)
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Quota: None |
| Course Start |
Semester 2 |
Timetable |
Timetable |
| Learning and Teaching activities (Further Info) |
Total Hours:
100
(
Lecture Hours 20,
Seminar/Tutorial Hours 9,
Supervised Practical/Workshop/Studio Hours 3,
Formative Assessment Hours 1,
Summative Assessment Hours 3.5,
Programme Level Learning and Teaching Hours 2,
Directed Learning and Independent Learning Hours
61 )
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| Assessment (Further Info) |
Written Exam
85 %,
Coursework
15 %,
Practical Exam
0 %
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| Additional Information (Assessment) |
Examination (85%); Coursework (15%)
EXAMINATION COMPONENTS
The examination will be 2 hours long, with two compulsory questions.
COURSEWORK COMPONENTS
A full lab report is required, based upon the laboratory exercise. |
| Feedback |
Not entered |
| Exam Information |
| Exam Diet |
Paper Name |
Hours & Minutes |
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| Main Exam Diet S2 (April/May) | | 2:00 | | | Resit Exam Diet (August) | | 2:00 | |
Learning Outcomes
By the end of this course, the student should be able to:
- determine the deflected shape of beams under a variety of loads;
- draw influence lines for moving loads and moment envelopes due to combinations of loads;
- analyse two dimensional truss structures and determine their deflection;
- evaluate how a simple column will buckle under a variety of end restraints, and demonstrate understanding of buckling in real structures;
- understand the concept of structural redundancy, and analyse simple statically indeterminate structures using the principle of superposition;
- determine the behaviour of elastic materials subjected to two-dimensional stress states, including the 2D elastic constitutive relationships and Mohr's Circle for stress and strain transformation in 2D; and
- apply the von Mises and Tresca yield criteria for 2D and 3D stress conditions.
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Reading List
Alternative coverage of course material:
- J.M. Gere, "Mechanics of Materials", 6th Edition, Thomson.
- R.C.Hibbeler, "Mechanics of Materials", 6th Edition, Pearson Education.
- M.S. Williams and J.D. Todd, "Structures, Theory and Analysis", MacMillan Press.
- T. H. G. Megson, "Structural and Stress Analysis", Butterworth-Heinemann.
Further reading:
- J.E. Gordon, "Structures, or why things don't fall down", Penguin Books.
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Additional Information
| Graduate Attributes and Skills |
Not entered |
| Keywords | Not entered |
Contacts
| Course organiser | Dr Pankaj
Tel: (0131 6)50 5800
Email: |
Course secretary | Miss Lucy Davie
Tel: (0131 6)50 5687
Email: |
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