Undergraduate Course: Theory of Structures 3 (CIVE09015)
Course Outline
School  School of Engineering 
College  College of Science and Engineering 
Credit level (Normal year taken)  SCQF Level 9 (Year 3 Undergraduate) 
Availability  Available to all students 
SCQF Credits  10 
ECTS Credits  5 
Summary  This course introduces the analysis of twodimensional indeterminate elastic structures composed of line elements. The types of structure that are studied in detail are continuous beams and rigidjointed plane frames both with and without translating joints. 
Course description 
LECTURES
L1 Overview of structural analysis
Introduction: key differences between determinate and redundant structures; methods of determining level of redundancy in flexural beams and frames.
L2 Analysis of simple redundant beams using Macaulay brackets and superposition.
Macaulay brackets treatment of simple continuous beams. Free and reactant bending moment diagrams. Rigorous deduction of deflected shapes. Simple redundant structures:superposition. Application to beams of varying crosssection.
L3 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.
L4 Introduction to Slope Deflection:
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.
L5 Application of SlopeDeflection to beams and simple frames:
Continuous beams subjected to generalised loading conditions; settlement of supports; bending moment and shear force diagrams for continuous beams.
L6 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.
L7 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.
L8 Analysis Principles 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. Sway equilibrium equations for two dimensional structures. Application to simple rectangular structures.
L9 Moment Distribution: Introduction
Fundamental concepts, terminology, notation and sign convention; application to continuous beams; bending moment and shear force diagrams.
L10 Moment Distribution: Derivation
Derivation of the key parameters of moment distribution from the slope deflection equations.
L11 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.
L1213 Moment Distribution: Nosway plane frames;
Moment distribution procedure for two dimension plane frame without joint rotation; bending moment, shear force and thrust diagrams.
L14 Moment Distribution: Continuous beams and support settlement; symmetry and antisymmetry. Moment distribution procedures for beams. Support settlement and its affects.
L15 Simple sway frames
Planar sway 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.
L16 More complex sway frames; superposition of solutions;
Planar sway frames with multiple modes of joint translation in multiple directions: general procedure in structural analysis for addressing problems involving superposition of more complex treatments. Multistorey frames and pitchedroof structures; sway displacement evaluation; bending moment and shear force diagrams.
L17 A substantial worked example on a complex unsymmetrical frames with inclined members.
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.

Information for Visiting Students
Prerequisites  Structural Mechanics/Analysis to 2nd year undergraduate level or similar 
High Demand Course? 
Yes 
Course Delivery Information
Not being delivered 
Learning Outcomes
On completion of this course, the student will be able to:
 calculate the elastic pattern of stress resultants in a 2D redundant beam or flexural frame structure by hand;
 calculate the joint displacements of sway frames by hand;
 sketch the deformed shapes of redundant beams and frames under a wide variety of load patterns;
 draw appropriate bending moment, shear force and axial force diagrams.

Reading List
Coates, R.C., Coutie, M.G. & Kong, F.K.
Structural analyses, 3rd Edition
Van Nostrand Reinhold (UK), Wokingham, (1988).
Other texts defined in the lecture notes. 
Additional Information
Graduate Attributes and Skills 
Not entered 
Keywords  Not entered 
Contacts
Course organiser  Dr Ahmad AlRemal
Tel:
Email: Ahmad.Mejbas.AlRemal@ed.ac.uk 
Course secretary  Mrs Lynn Hughieson
Tel: (0131 6)50 5687
Email: Lynn.Hughieson@ed.ac.uk 

