Undergraduate Course: Structural Mechanics 2A (SCEE08002)
|School||School of Engineering
||College||College of Science and Engineering
||Availability||Available to all students
|Credit level (Normal year taken)||SCQF Level 8 (Year 2 Undergraduate)
|Home subject area||School (School of Engineering)
||Other subject area||None
||Taught in Gaelic?||No
|Course description||This course describes the basic principles of Structural Mechanics, focusing on one-dimensional beam members.
Information for Visiting Students
|Pre-requisites||Equivalent to EEL-1-CV0001: Civil Engineering 1, or
EEL-1-ME0001: Mechanical Engineering 1
|Displayed in Visiting Students Prospectus?||Yes
Course Delivery Information
|Delivery period: 2012/13 Semester 1, Available to all students (SV1)
||Learn enabled: Yes
|King's Buildings||Lecture||Lecture Theatre B, JCMB||1-11|| 11:10 - 13:00|
|King's Buildings||Tutorial||Classroom 4, Hudson Beare (12:00), SDO Drawing Office, Sanderson (14:00)||2-11|| 12:10 - 13:00or 14:00 - 17:00|
|King's Buildings||Laboratory||SM2A Labs||2-11|| 14:00 - 17:00||or 14:00 - 17:00|
||Week 1, Wednesday, 11:10 - 13:00, Zone: King's Buildings. Lecture Theatre B, JCMB |
|Main Exam Diet S1 (December)||Structural Mechanics 2A||1:30|
|Resit Exam Diet (August)||1:30|
Summary of Intended Learning Outcomes
|By the end of the course, the student should be able to:
- determine how a statically determinate beam carries load (using diagrams of bending moment and shear force), and evaluate the resulting deflection of the beam;
- Analise structural cross sections, so as to determine stress and strain distributions, as well as the deformations, resulting from axial, bending and torsional actions.
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 Stress Resultants in Determinate Beams (1)
Sign conventions. Shear force and bending moment diagrams
L6 Stress Resultants in Determinate Beams (2)
Relationship between w, V and M
L7 Members carrying Axial Load
Simple mechanical behaviour. Deformation (due to load and thermal strain).
L8 Members carrying Torsion
Torsion of circular shafts and other closed sections. Torsional stiffness and deformation.
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 Shear force and bending moment diagrams
T3 Axial load and torsion
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.
||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).
|Course organiser||Prof Yong Lu
|Course secretary||Miss Lucy Davie
Tel: (0131 6)50 5687
© Copyright 2012 The University of Edinburgh - 14 January 2013 4:38 am