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 engages students with the fundamental principles of Structural Mechanics relevant to civil and mechanical engineers. Specific topics including: equilibrium, stress, strain, axial load, torsion, bending, shear, and deflections in structural elements including beams, columns, struts, ties, and trusses.
T1 Introduction and Overview: Course structure and organisation. What is structural mechanics?¿¿
T2 Structural forms: Structural elements and examples. Strength and stiffness. Loads.
T3 Global Equilibrium: Forces and moments, point and distributed loads. Support conditions. Global equilibrium of structures. Concept of structural determinacy and indeterminacy.
T4 Free Body Diagrams and Stress Resultants
Truss equilibrium. Stress resultants in struts (axial load), shafts (torsion), beams (shear and bending) and pressure vessels (membrane forces).
T5 Members carrying Axial Load
Simple mechanical behaviour. Deformation (due to load and thermal strain).
T6 Members carrying Torsion
Torsion of circular shafts and other closed sections. Torsional stiffness and deformation.
T7 Stress Resultants in Determinate Beams (1)
Sign conventions. Shear force and bending moment diagrams.
T8 Stress Resultants in Determinate Beams (2)
Relationships between w, V, and M
T9 Bending of Beams (1)
Euler Beam Theory. Curvature. Plane sections. Bending strains
T10 Bending of Beams (2)
Euler Beam Theory. Elastic bending stresses. The neutral axis. Moment - curvature - stress - strain relationships.
T11 Deflection of Beams
Double integration of curvature to find deflection. Support boundary conditions. Beam stiffness
T12 Superposition of Deflection
Deflection coefficients. Superposition of deflections.
T13 Geometric Section Properties
Area, 2nd moments of area, Parallel axis theorem. Rectangular, circular, T and I sections
T14 Composite Beam Sections
Modular ratio and equivalent section. Stress and strain diagrams.
T15 Shear Stresses in Beams (1)
Complimentary shear. Derivation of shear stress formulae.
T16 Shear Stresses in Beams (2)
Shear flow. Rectangular, box and flanged sections.
T17 Combined Loading
Combining axial, torsion, shear and biaxial bending stresses.
T18 Stress and Strain Transformation
Plane stress, plane strain. Mohr¿s circle.
9 ¿Tutorials¿ (TBD)
The course is examined through three coursework elements, one of which is a virtual laboratory through video recordings.
Entry Requirements (not applicable to Visiting Students)
||Other requirements|| None
Course Delivery Information
|Not being delivered|
On completion of this course, the student will be able to:
- Describe and manipulate fundamental concepts of stress, strain, and deformation in members carrying axial, bending, shear, and torsional loads;
- Determine how statically determinate trusses and beams carry load; for beams using diagrams of bending moment and shear force, and evaluate the resulting elastic deflections of the beams;
- 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; and
- Describe and manipulate relevant concepts of combined loadings and stress and strain transformation.
|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||Dr Thomas Reynolds
Tel: (0131 6)50 5633
|Course secretary||Mr Craig Hovell
Tel: (0131 6)51 7080