CIVE 221 Calculus H. A continuation of course Eng
I Infinite series and power series. Partial derivatives. Multiple integration and applications to areas, volumes, centroids, moments. Fourier series and harmonic analysis.
83 courses in the 1968–69 Undergraduate Calendar, read from the scanned original. The text comes from OCR, so check the scanned page before relying on a detail.
Department of Civil Engineering
W.A. McLaughlin, B.Eng. (Saskatchewan}, M.S., Ph.D. (Purdue) Professor Chairman of the Department S.T. Ariaratnam, B.Sc. (Eng.) (Ceylon), M.Sc. (London) Ph.D. (Cambridge)
Professor M.Z. Cohn, Candidate of Tech. Sc. (Burcharest) Professor W.R. Drynan, B.A.Sc. (Toronto), M.Sc., Ph.D. (Texas) Professor B.G. Hutchinson, B.E. (Sydney), M.Sc. {Queen’s) Ph.D. (Waterloo) Professor N.C. Lind, M.S. (Royal Tech. Univ. of Denmark}, Ph.D. (Illinois) Professor J.T. Pindera, Dr. of Tech. Science (Poland), Docent habil./Cracow) Professor H.B. Poorooshasb, B.Sc. (Manchester), Ph.D. (Cambridge) Professor
A.N. Sherbourne, B.Sc. (London), M.S. (Lehigh), M.A., Ph.D. (Cambridge) Professor and Dean of Engineering
D.T. Wright, B.A.Sc. (Toronto), M.S. (Illinois), Ph.D. (Cambridge) Professor (On leave of absence)
R. Green, B.Sc. {Eng.} (London), M.Sc. (Queen's) Associate Professor
M.Sc. (Waterloo), Ph.D. (Texas)
V.K. Handa, (Calcutta), B.Sc. (Eng.) (London) Associate Professor
M.Sc. (Queen's), M.Sc., Ph.D. (Waterloo} (Design and Civil Engineering} H. M. Hill, B-Eng., M.Sc. (Saskatchewan), D.Phil. (Oxford) Assistant Professor W.C. Lennox, B.A.Sc., M.Sc. (Waterloo), Ph.D. (Lehigh) Associate Professor E.L. Matyas, B.A.Sc. (Toronto), D.I.C., Ph.D. (London) Associate Professor T. Prasad, B.Sc., M.Sc. (Banaras Hindu Univ.). Ph.D. (Cambridge)
Associate Professor T.H. Topper, B.A.Sc. (Toronto), Ph.D. (Cambridge) Associate Professor
Associate Chairman of the Department
T.E. Unny, B.E. (Madras), M.Tech. (Kharagpur), Dr. Ing. { Dresden)
Associate Professor
E. F. P. Burnett, B.Sc. (Capetown), D.I.C., M.Sc. (London) Assistant Professor G.M. Cornwall, B.A.Sc. (Toronto) M.Sc. (Northwestern) Assistant Professor I. Hotubec, B.A.Sc., M.A.Sc. (Toronto), Ph.D. (Waterloo) Assistant Professor G. J. Farquhar, B.A.Se. (Waterloo) M.A.Sc. (Waterloo) Assistant Professor B. LeLievre, B. Eng. (West Australia) M.A.Sc., Ph.D. (Waterloo) Assistant Professer Roorda, B.4.Sc. (Waterloo), Ph.D. (London) Assistant Professor J. Schroeder, B.Eng., M.Eng. (McMaster) Ph.D. (Waterloo) Assistant Professor
J. Shortreed, B. Eng. Sc. (Western), M.Sc. (Queen's), Ph.D. (Northwestern } Assistant Professor QO. L. White, B.Sc. (Melbourne), M.A.Sc. (Toronto) Assistant Professor S.G. Krishnasamy B.E. (Madras), M.Sc. (Bangalere) Ph.D (Waterloo) Research Assistant Professor G.M. McNeice B.A.Se. (Waterloo) Ph.D. {London} Research Assistant Professor
C.J. Edmonds, B.Sc. (Durham), M.Sc., Ph.D., (Iowa State}, Special Lecturer J. E. Leisch, B.E. (John Hopkins) Special Lecturer J. 3. Munk, 8.Eng. (McGill), LL.B. {@sgoode Hall) Special Lecturer in Law C. Marsh, M.A. (Cambridge) Adjunct Professor D.E. Grierson, B.A.Sc., M.A.Sc. (Waterioo) Lecturer D.M. Pearson, B.4.Sc. (Waterloo) M.Sc. (Catifornia) Lecturer
Undergraduate Course Descriptions
I Infinite series and power series. Partial derivatives. Multiple integration and applications to areas, volumes, centroids, moments. Fourier series and harmonic analysis.
Standard methods of solution. Applications to physical and engineering problems. Linear equations with constant coefficients. Systems of differential equations. Solution by series. Numerical methods of solution. Partial differential equations; applications of partial differential equations. Laplace. transform methods for solving differentia] equations.
(a) Fundamentals of digital computers. Procedure oriented language (FORTRAN IV). Machine and assembly language coding. Civil Engineering uses of computers.
(a) Demand and Supply, market places, marginal analysis, cost-benefit analysis engineering economy. (b) Inroduction to the social sciences and series of guest lectures by outstanding men in sociology, psychology, engineering, philosophy, management, etc.
The use of surveying instruments.
A general treatment of the behaviour of structural components from the study of stress and strain in solids. Topics include superposition, energy theorems, theories of failure, elastic and inelastic analysis of unsymmetrical bending, shear centre, torsion of cellular members, columns and stability, and virtual work.
Analysis of simple determinate structures. Static and moving loads on beams and trusses. Conditions for statical determinacy. Deformation of trusses influence lines.
Statically indeterminate structures: analysis of beams, frames, arches, space frames and trusses. Influence lines and maximum internal forces.
Elastic and plastic analysis of indeterminate plane structures. Analysis of space structures. Methods of virtual work, slope deflection, moment distribution and matrix analysis.
Sampling theory and applications. Regression theory and the design of experiments.
Linear algebra, matrices, quadric forms. Scalar and vector fields, gradient, divergence and curl. Theorems of Gauss, Stokes and Green. Use of matrices and vectors in engineering problems. Introduction to tensors. Use of vectors and tensors in engineering problems.
Department of Civil Engineering
Formulation and solution .of various eigenvalue equilibrium and propagation problems in discrete and continuous systems. Topics include equations of mathematical physics, separation of variables, eigenvalues and eigen function, numerical methods, calculus of variations, Raleigh-Ritz, Galerkin and other approximate methods.
An introductory course in hydraulics. Engineering hydrology. Principles of open channel flow. Weirs and energy dissipators. Enclosed flow principles. Reservior design. Introduction to hydraulic models. Hydraulic machinery.
A systematic approach to urban planning. Goals, objectives and criteria, plan alternatives, optimization and plan implementation. Theories of urban growth and development. A group planning project.
Soil Classification. Equilibrium Problems: steady state seepage; stress distribution within a soil mass subjected to quasi static loading. Critical equilibrium problems: statically determinate and indeterminate situations, exact and approximate solutions to stability problems. Propagation Problems: non steady seepage of a fluid through soil; general theory of consolidation.
Design of civil engineering projects, building structures, bridges, highway and municipal engineering works. Emphasis is given to the interrelationship between practical design and the various sciences and disciplines covered in the undergraduate course of studies.
The design of structural elements in steel. Beams, tension and compression members, connections and plates.
The behaviour, analysis and design of sections and structural members in reinforced concrete. Discussion of standard recommendations.
The physical, chemical and biological basis of water treatment and waste-water treatment and disposal. Principles of design and construction of facilities for the collection, treatment and distribution of water, and the collection, treatment and disposal of waste-waters. The lecture course is supplemented by a series of laboratory experiments related to the measurement of water quality and treatment process control.
Transportation systems morphology, objectives. Comparative analysis of transportation systems, economics of use, integration. Transportation regulation and policy. Highway finance and engineering economy.
Subsoil investigation. A study of the present theories of soil mechanics and their use in soil engineering. Procedures for the analysis, design and construction of earth structures, shallow and deep foundations. Stability of slopes and earth dams are considered.
General introduction to law and the Common Law legal systems; formation of contracts, effect of mistake on contracts, interpretation of contracts, breach of contracts, legal remedies; scope and content of technical specifications; sale of goods; introduction to the Law of Agency; the Tort of Negligence, professional negligience; some aspects of restrictive trade practices; introduction to Patent Law.
An independent piece of engineering work, usually not entailing experimentation, under the direction of a faculty member.
Structural considerations in concrete design. Safety, rigidity, stability. Design of continuous beams. Reinforced concrete frames and arches. One and two way slabs. Flat slabs and flat plates. Chimneys, water towers and tall R.C. structures.
The design of structures in steel. Structural action of plate girders, bridges, industrial frames and tall buildings. Design for equilibrium and stability.
Rheology and chemistry of asphalt. Granulometry of cemented aggregate systems. Modification of soil properties. Mineral aggregates. Mechanics of moisture movement. Frost action. Experimenta] design. Quality control.
Principles of engineering design. Vehicular and climatic loads. Pavement mechanics. Failure criteria. Pavement performance and evaluation. Road tests and accelerated traffic tests.
Design of control sections, energy dissipators and chutes. Design of flow measurement structures. Water hammer problems. Culvert design. Similitude as a design concept. Wave effects in channels.
Graduate and Research Programmes
Both co-operative and conventional graduate study leading to the degree of Master of Applied Science (M.A.Sc.) or Doctor of Philosophy (Ph.D.) can be undertaken in Civil Engineering. At present, there are five major areas of study in which specialization may be undertaken: Structural Engineering and Applied Mechanics, Soil Mechanics and Geotechnical Engineering, Water Resources and Sanitary Engineering, Transportation Planning and Engineering, and Hydraulics and Water Resources Systems Planning.
+Structural Engineering and Applied Mechanics. Major subdivisions of study are applied mechanics, structural mechanics, concrete structures, properties of materials, experimental mechanics, and stochastic systems. Graduate courses in this area are CE 605 to 635 inclusive; other courses may be offered in the 700 series.
Current research includes studies in structural stability and dynamics, large deflections of membranes, elastic and inelastic continua, structural response to random excitation, hydroelasticity, analysis and design of reinforced and prestressed concrete
Department of Civil Engineering
structures, structural optimization, computer aided design of structures, strength and safety of structures, analysis of latticed space structures, strength of pressure vessels, plastic behaviour of shells, mechanisms of fatigue failure in materials, longwave photoelasticity, photoelastic techniques in fatigue and flow problems, and nonlinear stochastic processes.
Transporation Planning and Engineering. The major areas of study are urban transportation planning, transporation systems analysis, highway planning and engineering, traffic engineering and air transport planning. The graduate courses offered within the group are CE 640 to 649 inclusive. Additional courses are available in urban and regional planning, economics, sociology and operations research.
Current research activites include investigations in transportation systems analysis, urban transportation analysis methods, urban land use models, economic analysis of transportation systems, intercity air transportation of persons and goods and studies of bituminous materials.
Soil Mechanics and Geotechnical Engineering. Major subdivisions of study in this area are soil mechanics, foundation engineering and engineering geology. Graduate courses CE 650, 658 and 664 are offered regularly. Additional special graduate courses may be offered if there is sufficient demand.
Current activities include studies on the yielding of soils, settlement of structures, model testing, seepage and engineering geology.
Water Resources and Sanitary Engineering. Graduate course offerings in this area are CE 671 to 675 inclusive and CE & 791 and CE 792. Supporting courses are available in biology, hydraulic chemistry and other related fields.
At the present time, research involves work on the kinetics of biological waste treatment (aerobic and anaerobic), specific industrial waste treatment problems, the use of coal for waste treatment, and evaluation of the applicability of trickling fitlers for waste treatment in cold climates. Both laboratory-scale and pilot plant facilties are being used in these studies. The Department has several well-equipped laboratories that are used for demonstrations, teaching and research. Biological and chemical plant units are used to study and evaluate new methods to improve water and waste quality.
Hydraulics and Water Resources Systems Planning. The available courses are CE 685, 686, 687, 688, 689, 791 and 792. Courses in associated areas of fluid mechanics, soil mechanics, planning and economics are also available.
Current research in this area lies in the fields of open channel hydraulics, sediment transport, hydroelastic vibrations and water resources systems planning.
Graduate Course Descriptions
A review of crystalline and non-crystalline structures; elastic and anelastic properties, imperfection and plasticity in crystals; plastic deformation and creep; brittle, ductile and fatigue fracture. Plasticity in ceramics and polymers. Cyclic deformation.
An introduction to cyclic and fatigue behaviour of materials. Metallographic features, crack nucleation, propagation and fracture, discussion of fundamental mechanisms. Effect of material properties, stress, geometry, surface and environment on fatigue behaviour.
The role of mechanics of materials in design. Limitations of elementary stress formulae. Theories of failure. General theory of curved members. Thin-walled members, shear center, torsion, flexure. Elastic and inelastic analysis of torsion, bending, and thick-walled cylinders. Beam on a deformable foundation. Stress concentration. Related topics in vibration and stability are also’ discussed.
Numerical methods in structural analysis for beams, members curved in space, plates, shells and space frameworks. Applications of topology. Matrix methods.
Elementary and advanced problems in stability of frameworks, rings, arches, plates and shells. General theory of stability of equilibrium of conservative and non-conservative systems. Stability of motion. Free and forced vibrations of linear damped and undamped structures with a finite number of degrees of freedom. Wind oscillations and earthquake response.
Effect of inelastic strains in structural members, Simple plastic theory and limit design of plane frames. grids, plates, and arch structures. Deflections. Shakedown. Inelastic instability and the influence of strain hardening. Dynamic loading. Introduction to general theory of plasticity.
A general introduction to the mechanics of solids and fluids. Stress, deformation and flow. Materials and their rheological properties. The equations of elastic solids; problems in linear elasticity. Equations of fluid mechanics. Problems in viscous and ideal fluid flow. Yield criteria; the flow rule. Simple problems in plasticity and theoretical soil mechanics.
Classification and estimation of errors. Smoothing of experimental data. Similitude and model laws. Simultation of frames, trusses, plates and shells. Analogue methods in experimental stress analysis. Electrical and mechanical strain gauges, transducers. Brittle coatings. Photo-elasticity.
An introduction to the formulation of engineering problems in mathematical form as preparation for further study and research. Equilibrium problems, eigenvalue problems, and propagation problems as studied in lumped-parameter systems and continuous systems. Introduction to matrix and tensor analysis. Elements of linear graph theory with applications to the analysis of lumped-parameter systems. Introduction to extremum problem formulations.
Analysis of stress and strain. Stress-strain relations. Boundary-value formulation. Strain energy, variational principles. Theories of plane strain, plane stress and generalized plane stress of torsion and of flexure. Three-dimensional elastostatic problems; stress function representation. Elastic waves. Approximate methods.
Department of Civil Engineering
Differential geometry of surfaces. Equations of equilibrium and deformation in orthogonal curvilinear co-ordinates. Genera] and momentless theory of shells. Enery formulations and stability problems in shells.
The problem of rational design. Fundamental philosophies in design of engineering systems. Morphology of design process. Consequences of the stochastic nature of design data. Application of theory of games and decisions. Structural synthesis approach. Utility theory. Suboptimization. Design against risk and uncertainty in resistive systems.
An introduction to the variational principles of mechanics and their applications in engineering. Virtual work, principles of minimum potential energy and complementary energy.
Bond and cracking theory of reinforced concrete. Effects of shrinkage, creep and temperature on structural concrete. Modern approaches to the strength of reinforced concrete members. Shear and torsion problems. Critical evaluation of design methods for reinforced concrete. Structural potentialities of concrete; precasting and pre-stressing. Resistance of structural concrete to dynamic loading.
Principles of limit design. Inelastic behaviour of reinforced concrete members. General strength theory of reinforced concrete. Limit design of reinforced concrete beams, frames and arches. Optimum limit design. The problem of compatibility. Serviceability conditions. Limit design for moving loads. Generalized theory of optimum limit design. Design recommendations.
Principles of prestressed concrete. Steel and concrete used in prestressing. Prestressing procedures. Analysis and design of prestressed concrete beams. Shear strength of prestressed beams. Continuous beams and frames. Prestressed plates and shells. Cracking, rigidity and safety of prestressed structures.
The behaviour of components and assemblies under load, and the limits of serviceability. Yield and ultimate strength; creep, brittle fracture, fatigue, elastic buckling and post-buckling strength. Plastic and limit design. Safety and efficiency.
Fundamental dynamical theorems and their application to advanced problems; generalized co-ordinates; Lagrange’s equation; fixed and moving constraints; non-holonomic systems; principle of least action; introduction to qualitative and quantitative methods of nonlinear analysis; stability; parametric excitation.
Response characteristics of linear systems. Indictal response and frequency response. Weighting function and the convolution integral. Stability. Transfer function concepts of linear systems. Introduction to analogue computation techniques. Statistical description of signals. Correlation functions, spectral densities, mean square error criterion. Analysis of linear systems in time domain for random processes. Parameter optimization of a linear statistical system. Wiener-Hopf equation.
See EE 633. Prerequisite CE 627.
Astudy of the factors that influence the service life of structures with particular attention paid to the role of stress analysis. Range of validity of common engineering solutions based on analytical idealizations. Elementary methods of deformation and stress analysis: elementary photoelasticity; mechanical, optical and electrical strain gauges; moiré; brittle coatings; mechanical and mathematical models (Analog methods). Tensometric and photoelastic models. Typical transducers. Principles of measuring systems. (Lectures and Laboratory).
Physical basis of similarity of strain and stress fields. Linear elastic bodies, linear visco-elastic bodies, real mode! materials. Relations between basic quantities: stress, strain, birefringence. Mechanical and optical creep and creep recovery. Linear limit stress for strain and birefringence. Dispersion of birefringence. Relation between dispersion of birefringence and linear and nonlinear mode of behaviour. Influence or rheological behaviour of model materials on the accuracy of model tests and on laboratory technique. Lectures and Laboratory).
Influence of strain and stress states on propagation of electromagnetic radiation in solid bodies. Basic and related phenomena; change of electromagnetic properties (dielectric coefficients, refractive indices, other material constants). Birefringence, piezoreflectivity. Phenomenological and physical description of birefringence: strain-stress birefringence, flow birefringence, orientational birefringence. Dispersion of birefringence. Relations between stress, strain and birefringence and history of loading. Influence of temperature. Spectral transmissivity. Methods of measuring birefringence in the spectral range of radiation between ultraviolet and microwave region. Methods of recording photoelastic patterns: plane-wise, line-wise, point-wise. Photographic techniques. Electro-optic sensors. Methods of evaluating results: limits of application of analytical and experimental methods. (Lectures and Laboratory).
Typical methods for static preblems in plane and three-dimensional stress fields: normal incidence, oblique incidence, scattered light, reflection methods. Photoelastic coatings: principles, technique. Dynamic problems: inertial stress fields, elastic wave propagation and interference. Static and dynamic stress concentration. Fluid flow birefringence. Special techniques. (Lectures and Laboratory).
Recent advances in the field of experimental methods for evaluation of strength of structures, of strain and stress fields, for investigation of dynamic behaviour of structures, for investigation of propagation and interference of stress waves in solids and pressure waves im fluids. (Lectures and Laboratory).
Department of Civil Engineering
Relations between stress state, strain state and mode of failure of a structure. Static and dynamic problems. Direct methods, model methods, similarity criteria. Theory and technique of the main methods of stress analysis: displacement and strain measurements by means of mechanical, electric, and optical transducers, (mechanical, optical, electric, photoelastic and moiré gages); brittle coatings; measurements of changes of mechanical, electromagnetic and thermodynamic properties (photoelasticity, x-ray techniques, ultrasonic techniques, temperature measurements). Principles of designing and choice of measuring systems. Recording techniques. Evaluation and analysis of results. (Lectures and Laboratory).
Social and economic role of transportation. Interaction of human activities and demands for transport. Urban, regional and national transport systems and current problems. Transportation problems in developing countries. Transport technology. Transportation planning processes.
Problem solving processes. Concepts of a system and environment. The systems planning process: problem definition, solution generation, solution analysis, evaluation and optimization. Value and utility. Public enterprise economics. Application to transportation and water resources planning.
Linear graph theory. Linear programming. Lagrangian theory. Monte Carlo techniques. Decision theory. Queuing theory. C. P. M. and P. E. R. T. techniques. Application to transportation and water resources problems.
Basic urban transportation studies including origin-destination, parking, transit studies and general inventories. Population and employment studies. Principles of urban land use planning. Land use models. Interaction of land use and transport.
Trip generation and attraction. Gravity and opportunity models. Modal split. Traffic assignment. Developing urban transporation plans. Economic evaluation of urban transportation systems.
Regional development goals. Highway planning process. Predicting demands for highway transport. Classification, needs studies and sufficiency ratings. Economic evaluation. Programming.
Design standards and geometric design of highway alignment, grade, sight distance and cross section by class of highway. Design of intersections and interchanges. Design of planned access facilities in rural and urban areas.
Basic characteristics of drivers, traffic vehicles, volumes speed, delays etc..Capacity determination. Accidents. Traffic laws and ordinances, regulations and administration.
Theory of traffic flow: statistical models, flow analysis, following concept, queuing theory, simulation, network analysis.
Civil aviation, air traffic control, financing of airports. The role of the airport in the transportation system. Planning considerations. Demand predictions current problems in air transportation planning and engineering.
Steady state seepage of fluids through porous media. Stress distribution due to static boundary loads of a soil mass. General theory of consolidation.
A critical study by the consideration of case histories of the current procedures of design and construction of foundations, earth retaining structures and earth slopes.
Use of geologic and pedologic information and airphoto interpretation principles and techniques in the prediction of engineering properties of soils and the planning of engineering soil surveys.
The physical and chemical unit operations and processes utilized in water and waste-water treatment systems.
The principles of biological oxidation. The biological unit processes utilized in the treatment of domestic and industrial waste waters.
Advanced laboratory-water quality measurement and process control. A series of laboratory experiments on the various unit operations and processes of water and waste-water treatment. Stream pollution investigations. Lecture programme in Chemistry and Applied Microbiology (two terms).
Design and operation of water and waste water treatment systems. Water quality criteria. Effect of waste discharge on receiving waters. This course is the integration of the material coyered in Water Resources Engineering I, II and III leading to the development of functional designs for water and waste water treatment systems.
The principles of the field of air pollution, health, nuisance, agricultural, etc. Its aspects, causes and sources. Characteristics, emission rates and gas flow in ducts and chimneys. The physical properties of particulate matter. The engineering design of air cleaning equipment. Public relations, control ordinances, and zoning. Public administration.
The engineering control of man’s environment to protect his health and promote his well-being. Some topics covered include communicable diseases, epidemiology, air pollution, noise, lighting, industrial poisions and ionizing radiations.
Hydrologic cycle. Statistical hydrology. Evaluation of hydrologic data. Surface water hydrology. Ground water hydrology.
Department of Civil Engineering
Design of dams, spillways and stilling basins. Potential flow over spillway and below sluices. Boundary layer development and air entrainment. Cavitation in hydraulic structures. Design of control gates and valves. Canal design, Flow in canal beds.
Various methods of sediment transport analysis. Developed boundary layer flow with and without entrained sediment. Incipient motion of sediment. Bed forms. Entrainment of sediment. Design formulae, Mobile bed models.
Dynamic equations of motion. Momentum and energy equations. Laminar and turbulent flow, secondary flow in open channels. Uniform flow, gradually varied flow. Unsteady flow, roll waves in open channels.
700 to 790 Special Advanced Courses and Directed Studies.
791, 792 Engineering Project.