Undergraduate Course: Theory of Structures 3 (CIVE09015)
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 9 (Year 3 Undergraduate) 
Credits 
10 
Home subject area 
Civil 
Other subject area 
None 
Course website 
None

Taught in Gaelic? 
No 
Course description 
This course introduces the analysis of twodimensional indeterminate structures composed of line elements. The types of structure that are studied in detail are continuous beams, plane frames and trusses. 
Information for Visiting Students
Prerequisites 
Structural Mechanics/Analysis to 2nd year undergraduate level or similar 
Displayed in Visiting Students Prospectus? 
Yes 
Course Delivery Information

Delivery period: 2010/11 Semester 1, Available to all students (SV1)

WebCT enabled: Yes 
Quota: None 
Location 
Activity 
Description 
Weeks 
Monday 
Tuesday 
Wednesday 
Thursday 
Friday 
King's Buildings  Lecture   111  09:00  10:50      King's Buildings  Tutorial   111    12:10  13:00   
First Class 
Week 1, Monday, 09:00  10:50, Zone: King's Buildings. Lecture Theatre 2, Hudson Beare Building 
Exam Information 
Exam Diet 
Paper Name 
Hours:Minutes 
Stationery Requirements 
Comments 
Main Exam Diet S1 (December)  Theory of Structures 3  2:00  12 sides / 2 x graph   Resit Exam Diet (August)   1:30  12 sides / 2 x graph  
Summary of Intended Learning Outcomes
By the end of the course, the student should be able to:
 calculate the elastic pattern of stress resultants in a 2D redundant beam or frame structure by hand;
 calculate the joint displacements of sway frames by hand;
 use a computer program to calculate the same elastic stress resultants;
 describe the computational process which the computer program would use;
 present the results in appropriate diagrams. 
Assessment Information
Coursework and degree examination 
Special Arrangements
None 
Additional Information
Academic description 
Not entered 
Syllabus 
LECTURES
L1 Overview of structural analysis
Introduction: key differences between determinate and redundant structures;
methods of determining level of redundancy in trusses and frames.
L2 Analysis of simple redundant beams using Macaulay brackets
Macaulay brackets treatment of simple continuous beams. Free and reactant bending moment diagrams. Rigorous deduction of deflected shapes.
L3 Analysis of simple redundant beams using superposition
Simple redundant structures: superposition.. Application to beams of varying crosssection.
L4 Bending moment diagrams and relationships for redundant structures
Construction of bending moment and shear force diagrams for redundant structures. Consequences of element stiffnesses on resulting forms.
L5 SlopeDeflection: Introduction
Introduction to slope deflection: notation and sign conventions. Derivation of slope deflection equations for a straight member. Fixed end moments and their derivation. Examples of fixed end moments for given loads. Inversion of SD equations to give rotations as subject.
L67 Application of SlopeDeflection to beams
Continuous beams subjected to generalised loading conditions; settlement of supports; bending moment and shear force diagrams for continuous beams.
L8 Sway and Nosway Frames
Distinction between flexural frames that carry loads by joint displacement and those that use truss action instead. Identification of number of independent sway modes.
L9 SlopeDeflection for NoSway Frames
Plane frames with zero joint translations; bending moment diagrams. Reduction of number of unknowns in special conditions; bending moment, shear force and thrust diagrams.
L10 Analysis Principles for for Sway Frames
Application to two dimensional structures with joint translations; general sway treatment; bending moment and shear force diagrams; symmetry and antisymmetry. Formulation of stiffness matrices.
L11 Slope deflection for simple sway frames
Sway equilibrium equations for two dimensional structures. Application to simple rectangular structures.
L12 Moment Distribution: Introduction
Fundamental concepts, terminology, notation and sign convention; application to continuous beams; bending moment and shear force diagrams.
L13 Moment Distribution: Derivation
Derivation of the key parameters of moment distribution from the slope deflection equations.
L14 Moment Distribution: Continuous beams and faster convergence
Application to continuous beams with fixed ends, pinned ends and overhangs; reduced stiffness for faster calculations; settlement of supports; bending moment and shear force diagrams.
L15 Moment Distribution: Nosway plane frames
Moment distribution procedure for two dimension plane frame without joint rotation; bending moment, shear force and thrust diagrams.
L16 Moment Distribution: Continuous beams and support settlement: symmetry and antisymmetry
Moment distribution procedures for beams. Support settlement and its effects.
L17 Simple sway frames
Plane frames: general procedure for joint translation; bending moment, shear force and thrust diagrams. Single storey frame subjected to wind or lateral loading; sway displacement evaluation; bending moment and shear force diagrams.
L18 Summary
TUTORIALS
Tutorial 1 Determinate structures: BMs and SFDs
Revision tutorial to ensure that the student has a good grasp of bending moment and shear force diagrams in determinate structures.
Tutorial 2 Simple Redundant Structures and Slope Deflection
The concept of redundancy and its use in determining forces in simple structures. A few simple questions using Slope Deflection.
Tutorial 3 Moment Distribution Analysis of Continuous Beams
The moment distribution method applied to beam structures.
Tutorial 4 Moment Distribution Analysis of NoSway Frames
The moment distribution method applied to simple frame structures in 2D.
Tutorial 5 Sway Frames
The moment distribution method applied to simple sway frames in 2D.
Opportunities in both lectures and tutorial sessions for direct feedback relating to challenges that many students are having.

Transferable skills 
Not entered 
Reading list 
Coates, R.C., Coutie, M.G. & Kong, F.K.
Structural analyses, 3rd Edition
Van Nostrand Reinhold (UK), Wokingham, (1988).

Study Abroad 
Not entered 
Study Pattern 
Not entered 
Keywords 
Not entered 
Contacts
Course organiser 
Prof Michael Rotter
Tel: (0131 6)50 5718
Email: M.Rotter@ed.ac.uk 
Course secretary 
Miss Nicola Marshall
Tel: (0131 6)50 5687
Email: Nicola.Marshall@ed.ac.uk 

