(iii) Applications to plane curves and geodesics on a spheroid.
Conformal Mapping
(iv) Outline of cоrтfогтаl representation by functions of a complex vari- able; Isometric co-ordinates; applications to Mercator, Transverse Mer- cator and Conical Orthomorphic projections.
Section B
A course of one lecture and one tutorial per week throughout the year in the department of Surveying.
SYLLABUS Trigonometry
(v) Spherical Trigonometry; fundamental formulae; Legendre's theorem;
applications in Geodesy.
(vi) Spheroidal Trigonometry; solution of triangles on the spheroid;
arc length; curvature at point on arc of spheroid; effect of elevation in azimuth.
Probability Theory and the Method of Least Squares
(vii) Frequency distributions and their characteristics, observation and condition equations; formation and solution of normal equations, pre- cision of observations and deduced quantities.
BOOKS
Recommended for reference:
Weatherburn C E Differential Geometry, CUP
Whittaker E T & Robinson G Calculus of Observations, Blackie Rainsford H F Survey Adjustments and Least Squares, Constable EXAMINATION
Two 3-hour papers for pass and honours. Written work done during the year will also carry weight In the examination. The examination may be held at the conclusion of the course section.
(b) Evaluation: decision theory and theories of value,
(c) Solution: controllability and observability; solution strategies, (d) Techniques: Introduction to analog and hybrid computers, analog computer programming.
3. Dynamics of Machines, (a course of 36 lectures and 24 hours laboratory work with tutorials).
(a) Kinematics: Further relative plane motion. Moving axes. Introduction to synthesis of plane mechanisms. Poles and polodes. Euler Savary equation.
Inflection circle. Acceleration pole. Function generation.
(b) Kinetics: Energy and momentum integrals of the equations of motion of rigid bodies and systems of particles. D'Alembert's principle. The Inertia constants of a rigid body. Principal axes. Balancing of rotating and recip- rocating masses. Moving frames of reference in dynamic problems with application to rotors in vehicles and gyroscopes Euler's dynamical equa- tions. Lagrange's equations. The measurement of vibrations.
(c) Lubrication: Hydrodynamic lubrication, an Introduction.
4. Engineering Design: (a course of about 24 lectures and 60 hours drawing office work). As for 436-303 Engineering Design Part II.
5. Fluid Mechanics 1, (a course of 52 lectures with 27 hours laboratory work and 20 hours practice classes).
(a) Introductory Fluid Mechanics
The subject will deal with the basic principles and behaviour of fluids at rest and in motion and will Include: statics, kinematics and dynamics of fluids; Incompressible flow in closed conduits; compressible flow;
flow around Immersed bodies; fluid machinery flow measurement;
dynamical similarity.
(b) Classical Hydrodynamics
Stream functions; circulation; vorticity; velocity potentials; complex potentials; conformal transformations; Kutta Joukowski conditions;
Schwarz-christoffel theorem; free streamlines; three dimensional vortex motion.
(c) Gas Dynamics
One dimensional flow; energy relations; shockwaves; entropy changes;
flow in nozzles; oblique shockwaves.
6. Mechanics of Solids, (a course of 36 lectures and 24 hours laboratory work with tutorials).
As for 436-371 Mechanics of Solids Part 11.
LABORATORY, DRAWING OFFICE AND TUTORIAL WORK
No student will be admitted to any examination without evidence of satisfactory laboratory, drawing office and tutorial work, which will be assessed in the deciding of examination results. Additional tests may be set during the year and the results of these may be taken into account in assessing examination results.
BOOKS
Prescribed textbooks:
Technology 1 duplicated notes available from the Mechanical Engineer- ing Department.
leriam J L Dynamics 2nd ed, Wiley 1971
Shigley J E Mechanical Engineering Design 2nd ed, McGraw-Hill 1972 ASCZ 11973 Engineering Drawing Practice
Hunsaker J C & Rightmire B G Engineering Applications of Fluid Mech- anics, McGraw-Hill
Timoshenko S Strength of Materials 2 vols, Van Nostrand Vallentine I R Applied Hydrodynamics, Butterworth
131
Recommended for reference:
1. Applied Thermodynamics
Sonntag R E & Van Wylen G J Thermodynamics Classical and Statistical, Wiley I E 1971
Reynolds W C & Perkins H C Engineering Thermodynamics, McGraw-Hill 1970
Wallace F J & Liming W A Basic Engineering Thermodynamics, Pitman 1967
Kreith F Principles of Heat Transfer, Inter Text Book Co
Theelkeld J L Thermal Environmental Engineering, Prentice-Hall
Note: Alternative books may be approved by the lecturer and numerous others will be referred to throughout the course.
2. Technology I (References will be given during the course).
Beer S Decision and Control, Wiley 1971 3. Dynamics of Machines
Hirschom J Kinematics and Dynamics of Plane Mechanisms, McGraw-Hill Hunt K H Mechanisms and Motion, EUP
Cannon R H Dynamics of Physical Systems, McGraw-Hill 1967 Meirovitch L Methods of Analytical Dynamics, McGraw-Hill 1970 Easthope C E Three-Dimensional Dynamics, 2nd ed Butterworths 1964 Arnold R N and launder L Gyrodynamics afd Its Engineering Applica-
tions, Academic Press
Greenwood DT Principles of Dynamics, Prentice-Hall
Shaw M C and lacks F Analysis and Lubrication of Bearings, McGraw- Hill 1949
Trumpler P R T Design of Film Bearings, MacMillan 1966 4. Engineering Design
As for 436-303 Engineering Design Part li.
5. Fluid Mechanics
Liepmann H W and Roshko A Elements of Gasdynamics, Wiley Prandtl L The Essentials of Fluid Dynamics, Blacide
Duncan W J Thom A S and Young A D The Mechanics of Fluids, Arnold Rauscher Introduction to Aeronautical Dynamics, Wiley
6. Mechanics of Solids
As for 436-371 Mechanics of Solids Part II.
EXAMINATIONS
These will be as follows for the first six sections of the subject.
1. Applied Thermodynamics
One 3-hour paper. Technical Institute Diploma students, with appro- priate exemption, will take a 1x/2-hour paper.
2. Technology 1 One 11/2-hour paper.
3. Dynamics of Machines
One 2-hour paper in part (a) to be held at the beginning of second term and one 3-hour paper In parts (b) and (c) to be held at the end of the year.
4. Engineering Design One 3-hour paper.
5. Fluid Mechanics
Two 3-hour papers. The first of these, covering the work from part (a), will be held during the year.
6. Mechanics of Solids
One 3-hour paper. Technical Institute Diploma students, with appro- priate exemption, will take a 2-hour paper.
All papers are for pass and honours.