CIVE 221 Calculus II
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.
73 courses in the 1967–68 Undergraduate Calendar, read from the scanned original. The text comes from OCR, so check the scanned page before relying on a detail.
W. A. McLaughlin, B.Eng. (Saskatchewan), M.S.
Ph.D. (Purdue) - Professor and 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. (Bucharest) - - Professor W. R. Drynan, B.A.Sc. (Toronto), M.Sc., Ph.D. (Texas) - 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. (flinois).
Ph.D. (Cambridge) - - - - Professor R. Green, B.Sc. (Eng.) (London), M.Sc. (Queen’ Ss).
M.Sc. (Waterloo), Ph.D. (Texas) - Associate Professor V. K. Handa, B.Sc. (Calcutta), B.Sc. (Eng.) (London).
M.Sc. (Queen’s) M.Sc., Ph.D. (Waterloo) - Associate Professor H. M. Hill, B.Eng., M.Sc. (Saskatchewan), D.Phil.
(Oxford) - - Associate Professor B. G. Hutchinson, B.E. (Sydney), M.Sc. (Queen’ Ss)
Ph.D. (Waterloo) - - - - Associate Professor T. Prasad, B.Sc., M.Sc. (Banaras Hindu Univ.).
Ph.D. (Cambridge) - Associate Professor
T. H. Topper, B.A.Sc. (Toronto), PhD. (Cambridge)
Associate Professor and Associate Chairman of the Department E. F. P. Burnett, B.Sc. (Capetown), D.I.C., M.Sc. (London) Assistant Professor I. Holubec, B.A.Sc., M.A.Sc. (Toronto), Ph.D. (Waterloo) Assistant Professor W. C. Lennox, B.A.Sc., M.Sc. (Waterloo), Ph.D. (Lehigh) Assistant Professor E. L. Matyas, B.A.Sc. (Toronto), D.LC., Ph.D. (London) = Assistant Professor
J. Roorda, B.A.Sc. (Waterloo), Ph.D. (London) - Assistant Professor J. Shortreed, B.Eng.Sc. (Western), M.Sc. (Queen’s).
Ph.D. (Northwestern) - - - Assistant Professor T. E. Unny, B.E. (Madras), M.Tech. (Kharagpur), Dr.Ing.
(Dresden) - - - Assistant Professor O. L. White, B.Sc. (Melbourne), M.A Sc. (Toronto) Assistant Professor B. LeLievre, B.Eng. (West Australia), M.A.Sc. (Waterloo) - Lecturer B. P. Sangal, B.Sc., M.Sc. (Allahabad University), M.Sc.
(Bangalore), M.S. (Queen’s) - - - - Lecturer J. Schroeder, B.Eng. (McMaster), M.Eng. (McMaster) - Lecturer J. J. Munk, B.Eng. (McGill), LL.B. (Osgoode Hall) Special Lecturer in Law J. E. Leisch, B.E. (John Hopkins) - - - Special Lecturer C. Marsh, M.A. (Cambridge) - - Adjunct Professor
J. I. Tindall, B.E. (Queensland), M.E. (New South Wales) Visiting Professor
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Department of Civil Engineering Undergraduate Course Descriptions
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.
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 differential equations.
(a) Further development and application of statistical concepts. (b) 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) Introduction to the social sciences and series of guest lectures by outstanding men in sociology, psychology, engineering, philosophy, management, etc.
Physical effects used in measurement and measuring systems. Mechanical linkages, optical, pneumatic and accoustic effects; electrical capacitance, inductance and resistance effects; hydraulic effects, K-ray and electron effects, radar and copper effects. The use and combination of these effects in measuring systems. Errors, reliability. 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.
Statically indeterminate structures: analysis of beams, frames, arches, space frames and trusses. Influence lines and maximum internal forces.
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.
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 functions, 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.
An introductory course in geology with emphasis on topics related to civil engineering; mineralogy and petrology, structural geology, geomorphology (especially glacial geology). Aggregates: properties and occurrence. Field trips. Steel and concrete as an engineering material.
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; gencral 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 earch structures, shallow and deep foundations. Stability of slopes and earth dams are considered.
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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 negligence; 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.
34, Reinforced Concrete II. 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.
Basic characteristics of traffic. Traffic studies. Geometric design of highways and intersections.
Rheology and chemistry of asphalt. Granulometry of cemented aggregate systems. Modification of soil propertics. Mincral aggregates. Mechanics of moisture movement. Frost action. Experimental 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 Engineering, Transportation Planning and Engineering, and Hydrology and Hydraulic Engineering.
Structural Engineering and Applied Mechanics*. Major subdivisions of study are applied mechanics, structural mechanics, concrete, properties of materials, fluid mechanics and experimental mechanics and nonlinear stochastic systems. Graduate courses are CE 605 to 635 inclusive and CE 698.
Current research includes studies in structural dynamics, plastic instability of structures, inelastic behaviour and design in reinforced concrete, model testing in soil mechanics, plasticity and instability in plate and shell structures, low cycle metal fatigue, large deflections of shells and membranes, theory of design and safety in structures, inelastic behaviour in framed and shell structures, analysis of latticed space structures, ultimate load studies in reinforced concrete, elastic-plastic strength of pressure vessels, plastic wave propagation, infrared photoelasticity and hydroelasticity, and nonlinear stochastic systems.
Soil Mechanics and Geotechnical Engineering. Major subdivisions of study in this area are soil mechanics, foundation engineering and engineering geology. Graduate courses in this area are CE 650, 656, 658, 664 and 698.
Current research activities include studies in the yielding of soils, model testing, the behaviour of unsaturated soils and engineering geology. The Department has two fully equipped soil laboratories for experimental study.
Water Resources Engineering. Graduate course offerings in this area are CE 671 to 675 inclusive and CE 698. 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 filters for waste treatment in cold climates. Both laboratory-scale and pilot plant facilities 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.
Transportation Planning and Engineering. Major subdivisions of study are highway engineering, traffic engineering, and urban and regional transportation planning. In addition to a core course CE 645, additional courses (e.g. CE 641, 642, 643, and 647) are available. Supplementary courses in urban and regional planning may be taken from the Departments of Geography and Sociol-
ogy.
Current research activities include investigations into C.B.D. pedestrian circulation patterns, regional highway planning, urban transportation. planning, urban land use planning, pavement design and materials. The Department has facilities for experimental studies on bituminous materials.
Hydrology and Hydraulic Engineering. The courses available are CE 686, 687, 688, 689 and 698. 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 engineering hydrology. Laboratories are available for experimental study.
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A review of crystalline and non crystalline structure; elastic and anelastic properties, imperfection. and plasticity in crystals; plastic deformation and creep; brittle, ductile and fatigue fracture. Plasticity in ceramics and polymers. Cycle 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. Photoelasticity..
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 Jumped-parameter systems and continuous systems. Introduction to matrix and tensor analysis. Elements of lincar graph theory with applications to the analysis of lumped-parameter systems. Introduction to extremum problem formulations.
Analysis of stress and strain. Stress-strain relations. Boundaryvalue 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.
Differential geometry of surfaces. Equations of equilibrium and deformation in orthogonal curvilinear co-ordinates. General and momentless theory of shells. Energy 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.
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.
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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. Indicial 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.
A study 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, and mechanical and mathematical models (Analog methods).
Physical basis of similarity of strain and stress fields. Linear elastic bodies, linear visco-elastic bodies, real model materials. Relations between basic quantities: stress, strain, birefringence. Mechanical and optical creep and creep recovery. Proportional limit stress for
strain and birefringence. Dispersion of birefringence. Relation between dispersion of birefringence and linear and nonlinear mode of behaviour. Influence of rheological behaviour of model materials on the accuracy of model tests and on laboratory technique.
Birefringence. 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. Methods of measuring birefringence in spectral range of radiation between ultraviolet and microwave region. Methods of recording photoelastic patterns: plane-wise, line-wise, point-wise. Methods of evaluating results: limits of application of analytical and experimental methods.
Typical methods for static problems in plane and three-dimensional stress fields: normal incidence, oblique incidence, scat-
tered light, reflection methods. Photoclastic coatings: principles, technique. Dynamic problems: inertial stress fields, elastic wave propagation and interference. Static and dynamic stress concentration. Special techniques.
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 in fiuids.
Highway Planning—method and results. Classification needs, sufficiency ratings. Economics of location. Highway finance. Highway administration. Geometric design of roads and streets — principles and methods.
Basic characteristics of traffic, drivers, vehicles, volume speeds, delays, etc. Capacity determination. Accidents. Traffic laws and ordinances; regulations, traffic administration.
(Urban Planning) Land use planning transportation administration. Basic urban transportation studies including origin, destination, inventory, use, parking and transit studics.
Theory of traffic flow — statistical models, flow analysis, car following concept simulation. Network analyses. Queing theory.
(Urban Planning) Urban transportation systems and standards. Travel characteristics and desires. Transportation planning models. Economics in urban transportation.
Systems morphology. Measurement. Utility and value functions. Decision systems. Transportation economics. Optimization techniques.
Design standards and geometric design of highway alignment, grade, slight distance and cross section by class of highway. Design of intersections and interchanges. Design of planned access facilities in rural and urban areas.
Steady state seepage of fluids through porous media. Stress distribution due to static boundary loads of a soil mass. General theory of consolidation.
Laboratory and field work in soil sampling and testing. Measurement of soil mechanics parameters for design and research problems. Experiments include permeability, consolidation, direct shear, and triaxial shear.
A critical study by the consideration of case histories of the current procedures or design and construction of foundations, earth retaining structures and earth slopes.
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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 soils surveys.
Water supply and treatment. The unit operations involved in the treatment of water for domestic and industrial uses.
.Waste-water treatment and disposal. The physical, chemical and biological 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 processes of water and waste-water treatment. Stream pollution investigations.
Design and operation of water and waste-water treatment facilities. Practical design of the unit processes of water and waste-water treatment facilities. Design of a complete treatment facility. Operating problems in water and waste-water treatment plants and their elimination or minimization through proper design.
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 particular matter. The engineering design of air cleaning equipment. Public relations, control ordinances, and zoning. Public administration.
Elements of the Hydrologic Cycle. Statistical Hydrology. Evaluation of Hydrologic Data. Surface Water Hydrology. Ground Water Hydrology.
Design of dams, spillways and flow over spillways and below sluices. Boundary layer development and air entrainment. Cavitation in hydraulic structures. Design of control gates and valves. Canal design. Flow in canal bends.
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.