THE UNIVERSITY of EDINBURGH

DEGREE REGULATIONS & PROGRAMMES OF STUDY 2018/2019

University Homepage
DRPS Homepage
DRPS Search
DRPS Contact
DRPS : Course Catalogue : School of Engineering : Postgrad (School of Engineering)

Postgraduate Course: Structural Mechanics (IMFSE) (PGEE08002)

Course Outline
SchoolSchool of Engineering CollegeCollege of Science and Engineering
Credit level (Normal year taken)SCQF Level 8 (Postgraduate) AvailabilityNot available to visiting students
SCQF Credits12 ECTS Credits6
SummaryThis course describes the basic principles of Structural Mechanics, focusing on one-dimensional 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 non-linearity, 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 (T1-T8)


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)
Pre-requisites Co-requisites
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:
  1. Describe the basic concepts of stress, strain and deformation in members carrying axial, bending and torsional loads;
  2. 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;
  3. 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
KeywordsStructural Mechanics
Contacts
Course organiserProf Yong Lu
Tel:
Email: Yong.Lu@ed.ac.uk
Course secretaryMr Craig Hovell
Tel: (0131 6)51 7080
Email: c.hovell@ed.ac.uk
Navigation
Help & Information
Home
Introduction
Glossary
Search DPTs and Courses
Regulations
Regulations
Degree Programmes
Introduction
Browse DPTs
Courses
Introduction
Humanities and Social Science
Science and Engineering
Medicine and Veterinary Medicine
Other Information
Combined Course Timetable
Prospectuses
Important Information