- ARCHIVE for reference only

University Homepage
DRPS Homepage
DRPS Search
DRPS Contact
DRPS : Course Catalogue : School of Engineering : Civil

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 two-dimensional indeterminate structures composed of line elements. The types of structure that are studied in detail are continuous beams, plane frames and trusses.
Entry Requirements
Pre-requisites Students MUST have passed: Structural Mechanics 2A (SCEE08002) AND Structural Mechanics 2B (CIVE08010)
Prohibited Combinations Other requirements None
Additional Costs None
Information for Visiting Students
Pre-requisites 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 BuildingsLecture1-11 09:00 - 10:50
King's BuildingsTutorial1-11 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 32:0012 sides / 2 x graph
Resit Exam Diet (August)1:3012 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
Additional Information
Academic description Not entered

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 cross-section.

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 Slope-Deflection: 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.

L6-7 Application of Slope-Deflection to beams
Continuous beams subjected to generalised loading conditions; settlement of supports; bending moment and shear force diagrams for continuous beams.

L8 Sway and No-sway 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 Slope-Deflection for No-Sway 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 anti-symmetry. 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: No-sway 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


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 No-Sway 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
Course organiser Prof Michael Rotter
Tel: (0131 6)50 5718
Course secretary Miss Nicola Marshall
Tel: (0131 6)50 5687
Help & Information
Search DPTs and Courses
Degree Programmes
Browse DPTs
Humanities and Social Science
Science and Engineering
Medicine and Veterinary Medicine
Other Information
Important Information
copyright 2011 The University of Edinburgh - 31 January 2011 7:28 am