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 elastic structures composed of line elements. The types of structure that are studied in detail are continuous beams and plane frames. |
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
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| Delivery period: 2011/12 Semester 1, Available to all students (SV1)
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WebCT enabled: Yes |
Quota: None |
| Location |
Activity |
Description |
Weeks |
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
| King's Buildings | Lecture | Lecture Theatre 2, Hudson Beare Building | 1-11 | 09:00 - 10:50 | | | | | | King's Buildings | Tutorial | Drawing Office, Sanderson Building | 1-11 | | | 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 |
|
|
| Main Exam Diet S1 (December) | Theory of Structures 3 | 2:00 | | | | Resit Exam Diet (August) | | 2:00 | | |
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 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.
|
Assessment Information
| 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 flexural beams 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 structures 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 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
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.
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 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.
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| 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).
Other texts defined in the lecture notes. |
| 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 | Ms Kathryn Nicol
Tel: (0131 6)50 5687
Email: kathryn.nicol@ed.ac.uk |
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© Copyright 2011 The University of Edinburgh - 16 January 2012 5:47 am
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