# DEGREE REGULATIONS & PROGRAMMES OF STUDY 2019/2020

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# 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 SCQF Credits 12 ECTS Credits 6 Summary This 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)
 Pre-requisites Co-requisites Prohibited Combinations Other requirements None
 Academic year 2019/20, 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
 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 Not entered Keywords Structural Mechanics
 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
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