Postgraduate Course: Structural Mechanics (IMFSE) (PGEE08002)
Course Outline
School  School of Engineering 
College  College of Science and Engineering 
Credit level (Normal year taken)  SCQF Level 8 (Postgraduate) 
Availability  Not available to visiting students 
SCQF Credits  12 
ECTS Credits  6 
Summary  This course describes the basic principles of Structural Mechanics, focusing on onedimensional beam members. 
Course description 
Lectures:
L1 Introduction and Overview
Course structure and organisation. What is structural mechanics?
L2 Structural forms
Structural elements and examples. Strength and stiffness. Loads.
L3 Global Equilibrium
Forces and moments, point and distributed loads. Support conditions. Global equilibrium of structures. Concept of structural determinacy.
L4 Free Body Diagrams and Stress Resultants
Stress resultants in struts (axial load), shafts (torsion), beams (shear and bending) and pressure vessels (membrane forces).
L5 Members carrying Axial Load
Simple mechanical behaviour. Deformation (due to load and thermal strain).
L6 Members carrying Torsion
Torsion of circular shafts and other closed sections. Torsional stiffness and deformation.
L7 Stress Resultants in Determinate Beams (1)
Sign conventions. Shear force and bending moment diagrams
L8 Stress Resultants in Determinate Beams (2)
Relationship between w, V and M
L9 Bending of Beams (1)
Euler Beam Theory. Curvature. Plane sections. Bending strains
L10 Bending of Beams (2)
Euler Beam Theory. Elastic bending stresses. The neutral axis. Moment  curvature  stress  strain relationships.
L11 Deflection of Beams
Double integration of curvature to find deflection. Support boundary conditions. Beam stiffness
L12 Superposition of Deflection
Deflection coefficients. Superposition of deflections.
L13 Geometric Section Properties
Area, 2nd moments of area, Parallel axis theorem. Rectangular, circular, T and I sections
L14 Composite Beam Sections
Modular ration and equivalent section. Stress and strain diagrams.
L15 Shear Stresses in Beams (1)
Complimentary shear. Derivation of shear stress formulae.
L16 Shear Stresses in Beams (2)
Shear flow. Rectangular, box and flanged sections.
L17 Combined Loading
Combining axial, torsion, shear and biaxial bending stresses.
L18 Limitations of SM2A theory; Revision
An introduction to geometric and material nonlinearity, stability, and warping.
Tutorials:
T1 Equilibrium of free bodies
T2 Axial load and torsion
T3 Shear force and bending moment diagrams
T4 Bending stresses in beams
T5 Deflection of beams
T6 Section properties
T7 Shear in beams
T8 Superposition of stresses
T9 Revision (T1T8)
Laboratory experiments:
Experiment A: EULER BEAM THEORY
Experiment B: DEFLECTION OF T AND U BEAMS
A risk assessment form is to be completed before the start of each experiment.
AHEP outcomes: SM1b, EA1b, G2 (definite); EL6, P3 (possible)

Entry Requirements (not applicable to Visiting Students)
Prerequisites 

Corequisites  
Prohibited Combinations  
Other requirements  None 
Course Delivery Information

Academic year 2018/19, Not available to visiting students (SS1)

Quota: None 
Course Start 
Semester 1 
Timetable 
Timetable 
Learning and Teaching activities (Further Info) 
Total Hours:
120
(
Lecture Hours 20,
Seminar/Tutorial Hours 9,
Supervised Practical/Workshop/Studio Hours 6,
Formative Assessment Hours 1,
Summative Assessment Hours 3,
Programme Level Learning and Teaching Hours 2,
Directed Learning and Independent Learning Hours
79 )

Assessment (Further Info) 
Written Exam
85 %,
Coursework
15 %,
Practical Exam
0 %

Additional Information (Assessment) 
Written Exam 85%
Coursework 15% 
Feedback 
Not entered 
Exam Information 
Exam Diet 
Paper Name 
Hours & Minutes 

Main Exam Diet S1 (December)   1:30  
Learning Outcomes
On completion of this course, the student will be able to:
 Describe the basic concepts of stress, strain and deformation in members carrying axial, bending and torsional loads;
 Determine how a statically determinate beam carries load using diagrams of bending moment and shear force, and evaluate the resulting elastic deflection of the beam;
 Analyse structural cross sections, so as to determine the elastic stress and strain distributions, as well as the deformations, resulting from axial, bending and torsional actions.

Reading List
J.M. Gere, "Mechanics of Materials", 6th Edition, Thomson. (A comprehensive treatment, and used in other Civil Engineering courses);
J.E. Shigley, C.R. Mischke, R.G. Budynas, "Mechanical Engineering Design", 7th edition, McGraw Hill. (A fairly brief treatment, but also used in other Mechanical Engineering courses). 
Additional Information
Graduate Attributes and Skills 
Not entered 
Keywords  Structural Mechanics 
Contacts
Course organiser  Prof Yong Lu
Tel:
Email: Yong.Lu@ed.ac.uk 
Course secretary  Mr Craig Hovell
Tel: (0131 6)51 7080
Email: c.hovell@ed.ac.uk 

