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DRPS : Course Catalogue : School of Engineering : Civil

Undergraduate Course: Structural Mechanics 2B (CIVE08010)

Course Outline
School School of Engineering College College of Science and Engineering
Course type Standard Availability Available to all students
Credit level (Normal year taken) SCQF Level 8 (Year 2 Undergraduate) Credits 10
Home subject area Civil Other subject area None
Course website None Taught in Gaelic? No
Course description This course build upon the basic principles of structural mechanics learnt in Structural Mechanics 2A. 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 simple columns, introduces elasto-plastic and plastic sectional analysis, and introduces the analysis of indeterminate structures.
Entry Requirements
Pre-requisites Co-requisites Students MUST also take: Structural Mechanics 2A (SCEE08002)
It is RECOMMENDED that students also take Behaviour and Design of Structures 2 (CIVE08012)
Prohibited Combinations Other requirements None
Additional Costs None
Information for Visiting Students
Pre-requisites Can only be taken by visiting students who have also attended "U00460: Structural Mechanics 2A" in semester 1
Displayed in Visiting Students Prospectus? Yes
Course Delivery Information
Delivery period: 2010/11 Semester 2, Available to all students (SV1) WebCT enabled:  Yes Quota:  None
Location Activity Description Weeks Monday Tuesday Wednesday Thursday Friday
King's BuildingsLecture1-11 10:00 - 10:50
King's BuildingsLecture1-11 10:00 - 10:50
King's BuildingsLaboratorySM2B Lab2-11 14:00 - 17:00or 14:00 - 17:00
King's BuildingsTutorialSM2B Tutorials2-11 11:10 - 12:00or 11:10 - 12:00
First Class Week 1, Monday, 10:00 - 10:50, Zone: King's Buildings. Lecture Theatre 1, Sanderson Building
Exam Information
Exam Diet Paper Name Hours:Minutes Stationery Requirements Comments
Main Exam Diet S2 (April/May)1:3012 sides / 2 x graph
Resit Exam Diet (August)1:3012 sides / 2 x graph
Summary of Intended 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 simple influence lines for moving loads and moment envelopes due to combinations of loads;
- analyse two dimensional truss structures;
- 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.
Assessment Information
85% exam (1.5 hours)
15% coursework (laboratory)
Special Arrangements
Additional Information
Academic description Not entered
Syllabus This course follows a traditional lecture format, with weekly tutorials that explore the concepts introduced in lectures


L1-4 Introduction; 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.

L5-6 Trusses
-Truss analysis using the method of sections and the method of joints
-Deflections in simple determinate trusses.

L7-11 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.

L12 Material non-linearity and plasticity
-Non-linear stress-strain behaviour. Response of beams with non-linear material. Fully plastic bending.

L13-14 Beam analysis
-The fundamental differential equation for bending.
-Discontinuities of loading. Macaulay bracket analysis to determine beam deflection under various load cases.

L15-16 Moving Loads and Load Combinations
-Influence lines for reactions and stress resultants. Trains of loads.
-Moment envelopes for simple indeterminate beams

L17-18 An introduction to statically indeterminate structures
-Redundancy; mechanisms.
-Determinacy and compatibility in simple beams.
-Analysis by superposition.

T1 Buckling of columns
T2 Analysis of trusses
T3 Stress transformation and failure criteria
T4 2D elasticity and strain transformation
T5 Non-linear and fully-plastic behaviour
T6 Deflection of beams
T7 Moving loads and load combinations
T8 Simple redundant beams
T9 Revision
Transferable skills Not entered
Reading list Alternative coverage of course material:
- J.M. Gere, "Mechanics of Materials", 6th Edition, Thomson.
- R.C.Hibbeler, &«Mechanics of Materials&ª, 6th Edition, Pearson Education.
- M.S. Williams and J.D. Todd, &«Structures, Theory and Analysis&ª MacMillan Press.
- T. H. G. Megson, &«Structural and Stress Analysis&ª, Butterworth-Heinemann.

Further reading:
- J.E. Gordon, &«Structures, or why things don&©t fall down&ª, Penguin Books (1991).
Study Abroad Not entered
Study Pattern Not entered
Keywords Not entered
Course organiser Dr Timothy Stratford
Tel: (0131 6)50 5722
Course secretary Mrs Sharon Potter
Tel: (0131 6)51 7079
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