Postgraduate Course: Structural Mechanics (IMFSE) (PGEE08002)
|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
|Summary||This course describes the basic principles of Structural Mechanics, focusing on one-dimensional beam members.
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.
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)
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)
||Other requirements|| None
Course Delivery Information
|Academic year 2019/20, Not available to visiting students (SS1)
|Learning and Teaching activities (Further Info)
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
|Assessment (Further Info)
|Additional Information (Assessment)
||Written Exam 85%
||Hours & Minutes
|Main Exam Diet S1 (December)||1:30|
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.
|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).
|Graduate Attributes and Skills
|Course organiser||Prof Yong Lu
|Course secretary||Mr Craig Hovell
Tel: (0131 6)51 7080