CIVE 200 Systems 2 (Special Problems)
A series of problems designed to complement lecture material. The problems are related to the various divisions of Civil Engineering.
118 courses in the 1971–72 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
Professor W.A. McLaughlin, B.Eng. (Saskatchewan), M.S., Ph.D. (Purdue) Chairman of the Department Professor S.T. Ariaratnam, B.Sc. (Eng.) (Ceylon), M.Sc. (London), Ph.D. (Cambridge) Professor M.Z. Cohn, C.Se. (Bucharest) Professor W.R. Drynan, B.A.Sc. (Toronto), M.Sc., Ph.D. (Texas) Professor G.M.L. Gladwell, B.Sc., Ph.D., D.Sc. (London) Professor V.K. Handa, B.Sc. (Calcutta), B.Sc. (Eng.) (London), M.Sc. (Queen’s), M.A.Sc., Ph.D. (Waterloo) Professor B.G. Hutchinson, B.E. (Sydney), M.Sc. (Queen’s), Ph.D. (Waterloo) Professor H.H.E. Leipholz, Dipl.Eng., Dr. Ing., Docent Habil (Stuttgart) Professor N.C. Lind, M.Sc. (Tech. Univ. of Denmark), Ph.D. (Illinois) Professor J.T. Pindera, Dr. of Tech.Sciences (Warsaw), Docent Habil, (Cracow) Professor T. Prasad, B.Sc, M.Sc. (Banaras Hindu Univ.), Ph.D. (Cambridge) Professor A.N. Sherbourne, B.Sc. (London), M.S. (Lehigh), M.A., Dean of Engineering Ph.D. (Cambridge), D.Sc. (London) Professor T.H. Topper, B.A.Sc. (Toronto), Ph.D. (Cambridge) Professor D.T. Wright, B.A.Sc. (Toronto), M.S. (Illinois), Ph.D. (Cambridge), (on leave of absence) Associate Professor E.F.P. Burnett, B.Sc. (Capetown), D.I.C., M.S., Ph.D. (London) Associate Professor R. Green, B.Sc. (Eng.) (London), M.Sc. (Queen’s), M.Sc. (Waterloo), Ph.D. (Texas) Associate Professor R.C.G. Haas, B.Sc, M.Sc. (Alberta), Ph.D. (Waterloo) Associate Professor H.M. Hill, B.A.Sc., M.Sc. (Saskatchewan), D.Phil. (Oxford) Associate Professor B. LeLievre, B.Eng. (West Australia), M.A.Sc., Ph.D. (Waterloo) Associate 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 J. Roorda, B.A.Sc. (Waterloo), Ph.D. (London) Associate Professor J. Schroeder, B.Eng., M.Eng. (McMaster), Ph.D. (Waterloo) Associate Professor J. Shortreed, B.Eng. Sc. (Western), M.Sc. (Queen’s), Ph.D. (Northwestern) Associate Professor K.N. Smith, B.A.Sc. (Toronto), M.A.Se. (Illinois), Ph.D. (Waterloo) Associate Professor S.1. Solomon, Civ. Hyd. Eng. (Bucharest) Associate Professor T.E. Unny, BE. (Madras), M. Tech. (Kharagpur), Dr. Ing. (Dresden) Associate Chairman of Grad. Studies Assistant Professor R.W. Cockfield, B.Se., M.Sc. (Queen’s), Ph.D. (Waterloo) Assistant Professor G.M. Cornwall, B.A.Sc. (Toronto), M.Sc. (Northwestern) Assistant Professor G.J. Farquhar, B.A.Sc., M.A.Sc. (Waterloo), Ph.D. Associate Chairman (Wisconsin) Assistant Professor C.V.B. Gowda, B.E. (Mysore), ME. (I.£.Se.), Ph.D. (Waterloo) Assistant Professor D.E. Grierson, B.A.Sc., M.A.Se., Ph.D. (Waterloo) Assistant Professor N. Kouwen, B.A.Sc., Ph.D. (Waterloo) Assistant Professor G.M. McNeice, B.A.Se. (Waterloo), Ph.D. (London) Assistant Professor J.C. Thompson, B.A.Sc. (Toronto), M.S., Ph.D. (Illinois) Assistant Professor O.L. White, B.Sc. (Melbourne), M.A.Sc. (Toronto), Ph.D. (Illinois) Assistant Professor S. Yagar, B.A.Sc., M.A.Sc. (Toronto), Ph.D. (California) Research Assistant Professor R.G. Charlwood, Dipl. Civ. Eng. (Brighton), M.A.Sc., Ph.D. (British ‘ Columbia) Research Assistant Professor P.W. Kneen, B.E. (Melbourne), Ph.D. (Waterloo) Research Assistant Professor O.A. Pekau, B.A.Sc. (Toronto), D.I.C., M.Sc. (Eng.) (London), Ph.D. (Waterloo) Research Assistant Professor D.S. Weaver, B.A.Sc., M.A.Sc. (Toronto), Ph.D. (Waterloo) Visiting Professor O. Stradal, C.E., D.Sc. (Prague)
Visiting Assistant Professor Special Lecturer
Department of Civil Engineering
K. Huseyin, M.Sc. (Istanbul), Ph.D. (London) N.W. McLeod, B.Sc. (Alberta), M.Sc. (Saskatchewan), Ph.D. (Michigan)
Undergraduate Course Descriptions
A series of problems designed to complement lecture material. The problems are related to the various divisions of Civil Engineering.
An analytical treatment of statics and resistance of materials. Equilibrium of particles, rigid bodies and deformable bodies. vector fields. Bay systems. Introduction to stress and strain. Stress-strain relationships. Elastic and inelastic behaviour of prismatic members subjected to axial, shearing, torsional and flexural deformations.
A general treatment of the behaviour of structural components from the study of stress and strain in solids. Topics include super-position, energy theorems, theories of failure, elastic and inelastic analysis of unsymmetrical bending, shear centre, torsion of cellular members, columns and stability and virtual work.
A continuation of course Math. 12. 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.
Fundamentals of digital computers. Procedure oriented language ~ (FORTRAN IV). Solution of linear equations. Matrix manipulation. Roots of equations. 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.
The fundamentals of plane measurement and route surveying. Chaining, levelling, traversing, triangulation and curve installation. Iastrument correction.
The engineer in society. Principles, methods and practice of Civil Engineering. Informal lectures. 1-2 hours.
Structural systems. Statics of rigid bodies. Analysis of statically determinate beams, frames, arches and trusses. Influence lines. Displacement analysis. Energy principles.
Statically determinate and indeterminate structures. General theorems of linear elastic structures. General methods of structural analysis and applications to beams, frames, arches and trusses. Moving loads and influence lines. Approximate analysis. Introduction to plastic analysis.
Department of Civil Engineering
Properties related to forces, waves and vibrations. Theory of systematic reactions. Properties associated with deflected structures. Structural stability. Studies in plasticity, viscosity, hardness, creep, brittle fracture, ductile fracture, fatigue.
Modern statistics and engineering; treatment of data, frequency distribution; theory of probability; Binomial, Poisson and Normal distributions; Central Limit Theorem; Normal Law of Errors; sampling distributions; statistical inference; regression theory.
Formulation and solution of various eigenvalue equilibrium and propagation problems in discrete and continuous systems. Topics include equations of mathematical physics, elementary matrix algebra, numerical methods, calculus of variations, and approximate methods.
Physical properties of fluids and fundamental concepts of fluid flow. Dimensional analysis and similitude and their use in solving problems of fluid mechanics. Laws for conservation of mass, energy, momentum and entropy and their application to a variety of engineering problems such as flow in pipes and head loss analysis.
An introductory course in hydraulics. Engineering hydrology. Principles of open channel flow. Weirs and energy dissipators. Enclosed flow principles. Reservoir 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.
Transportation systems morphology, objectives. Comparative analysis of transportation systems, economics of use, integration. Transportation regulation and policy. Highway finance and engineering economy.
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.
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.
The engineer in society. Principles, methods and practice of civil engineering. Informal lectures. 1-2 hours.
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.
Properties of concrete and reinforcing steel. Section design: ultimate strength design and working stress design. Design principles.
Slab systems. Continuous beams and frames. Reinforced concrete buildings, shells, arches and bridges. Principles of prestressed concrete. Prerequisite: CE 402
Load and types of structures. Composite design. Light gauge members. Plate girders. Single and multi-storey buildings. Prerequisite: CE 401.
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.
Control of air and water-borne diseases. Specific topics related to environmental health; radiation hazards, harmful chemical discharge, epidemiology. Water quality standards. Eutrophication. Refuse disposal. Water management, federal and provincial participation.
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. This course is a prerequisite for further soils courses in fourth year.
General introduction to law and the Common Law legal systems; formation of contracts, effect of mistakes 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.
The engineer in society. Principles, methods and practice of civil engineering. Informal lectures. 1-2 hours.
An independent piece of engineering work, design or research, under the direction of a faculty member.
Simple alternative methods of structural engineering that provide independent checks on more complex analyses or designs are surveyed. Such methods are becoming necessary with the growing automation of structural computations. A deliberate development of understanding of structural behaviour (structural intuition’) is attempted. The role of approximation is discussed at all levels, ranging from accepted standard approximations in so-called exact structural mechanics to more intuitive proportioning of structures. Approximate equivalence of continuous and discrete systems: cantilever method, equivalent beams, plates and shells, trusses and grids. Finite element methods; Newmark’s analysis and further simplifications. Moment balancing, load balancing and related methods of pragmatic design. Methods of negligible redundants: portal method, area method in shells.
02 Failure in Metal Assemblies
Department of Civil Engineering
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.
(a) Computing and Numerical Methods: Fortran review, JCL, information storage and retrieval, review of determinants and matrices, linear algebra, integration techniques, interpolation, errors, introduction to STRUDL. (b) Structural analysis: Topology and determinancy, flexibility and stiffness methods applied to the analysis of beams, grids, space frames, etc.
(a) Computing and Numerical Methods: Eigenvalue problems, nonlinear equations, computer systems - ICES with particular emphasis on STRUDL II (b) Structural Analysis: Stiffness methods applied to large problems finite element approximate methods.
Introduction to project control, network activities, durations, diagrams. Critical paths, total, free floats. Calendar times, updating. Project durations. Project total normal and crash costs. Introduction to programme evaluation and review technique. Manpower levelling. Performance indices and measurement.
Numerical methods in structural analysis for beams, members curved in space, plates, shells and space frameworks. Applications of topology. Matrix methods.
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.
Designed to give the student an appreciation of the capabilities of the digital computer and enable effective planning of large programmes to be accomplished. The use of functions, subroutines, programme libraries, object decks, overlay structures and load modules will be discussed using FORTRAN. Other systems such as ICES, STRUDL, CPS, WITS, ICETRAN and PLI. Use of tapes and other secondary storage is covered as is job control language and plotting facilities.
Review of previous mathematical methods, ordinary and partial differential equations, transform methods, calculus of variations, approximate methods—Ritz, Galerkin and special topics.
Principles of analysis of physical phenomena; physical models, mathematical models. Principles of modelling in mechanics: prototype, mathematical models and physical models. Model laws: dimensional analysis, stress similarity, flow similarity, static and dynamic similarity. Validity of typical solutions based on mathematical and physical models: physical meaning of analytical solutions and of experimental results. Principles of measurement in mechanics: transfer of information, transfer of energy. Analysis of experimental errors. Principles of measuring systems: elements of system, design of system. Theory and design of ben nn dee nnen. eee nbnntnnd 2 ate-i 1a ti on
system analysis, transfer function, noise/signal ratio. Typical measuring systems. Validity and accuracy of experimental results. Examples of engineering applications.
Factors that influence service life of structures. Role of stress analysis in structural design in engineering. Range of validity of common engineering solutions based on simplified mathematical models and on simplified material behaviour. Experimental methods of deformation and stress analysis (elementary theory, techniques): photoelasticity; mechanical, optical and electrical transducers; moire; brittle coatings; physical models. Tensometric and photoelastic models. Theory and design of typical transducers. Typical measuring systems: principles, design. Principles of design of experiments: system analysis, transfer functions, noise/signal ratio. Evaluation of experimental results and their application in structural design. Examples of engineering applications. Testing of structures. Static and dynamic response of engineering structures.
Highway planning; methods, results. Classification needs, sufficiency ratings. Economics of location. Highway finance and administration. Geometric design; principles, methods.
Rheology and chemistry of asphalt. Granulometry of cemented aggregate systems. Modification of soil properties. Mineral 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.
The objective of this course is to provide the student with experience in the calibration and use of one type of urban land use forecasting model. The emphasis will be on the application of the model to an urban area through the development of a computer model. The topics to be covered will include population and employment forecasting methods, a general review of all land use model types and a detailed treatment of the Lowry model.
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.
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.
A review of crystalline and non-crystalline structures; elastic and inelastic properties, imperfection and plasticity in crystals; plastic deformation and creep; brittle, ductile and fatigue fracture. Plasticity in ceramics and polymers. Cyclic deformation.
This course deals specifically with methods for the treatment of municipal and industrial wastes and assumes that the student has some background in the area of Sanitary Engineering. The course will ng ig ig eg lg me
Department of Civil Engineering
discussion include: waste characterization, water reuse, and other inplant procedures, chemical and biological treatment, sludge handling and laboratory procedures. Prerequisite: CE 451.
Concept of density stratified and temperature stratified fluid systems - hydraulics of stratified flows in open channels - internal waves and internal hydraulic jumps-diffusion in stratified flows - selective withdrawal of fluid from stratified reservoirs. Diffusion and pollution in estuaries - salinity intrusion into rivers - tidal effects on river pollution.
The structure of Water Resource agencies in Canada will be discussed. A simple computer hydrology simulation model will be developed. Economic functions pertaining to costs and benefits of water use will be discussed. A simplified water planning problem will be described. The class will be expected to develop a computer model to assist in evaluating alternative designs prescribed to overcome water resource problems.
Courses numbered within the 500 series are considered to be undergraduate courses but are intended to form a transition from the undergraduate to the graduate programme in certain areas of Civil Engineering. They serve two major functions: 1) to provide technical electives for the undergraduate so that he may specialize in a particular area. 2) to provide background information for the graduate student when such is lacking. Courses of this series may be credited toward a graduate degree.
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. The following is the numbering scheme used for graduate courses in Civil Engineering: Structures 600 - 609, 700 - 709 610 - 619, 710 - 719 Continuum Mechanics 620 - 629, 720 - 729 Applied Mathematics 630 - 639, 730 - 739 Experimental Mechanics Transportation 640 - 649, 740 - 749 650 - 659, 750 - 759 Soil Mechanics Materials 660 - 669, 760 - 769 Sanitary Engineering 670 - 679, 770 - 779 680 - 689, 780 - 789 Hydraulics & Water Resources
* Courses in the 600 series are regular lecture courses normally available every calendar year. Courses in the 700 series provide flexibility and may be offered when there is sufficient demand and when faculty are available. To complement these courses in Civil Engineering, additional
Degree Programme Requirements
Structural Engineering and Applied Mechanics
Department of Civil Engineering
mathematics, computer programming, urban and regional planning, economics, geography, hydrology, chemistry, sociology, operations research, earth sciences and biology.
The minimum requirements for the Ph.D. degree are outlined elsewhere under Graduate Studies. Minimum requirements for the Master’s degree in Civil Engineering are satisfied when the candidate has successfully completed either (1) Eight one-term courses accepted for graduate credit by the department plus an engineering project report (CE 807) requiring a study in depth on a topic approved by the Department. (2) Four one-term courses accepted for graduate credit, plus a thesis (CE 808) embodying the results of his research on a topic approved by the Department.
Of courses accepted as part of the candidate’s programme, at least one half must be graduate courses numbered in the 600 or 700 series. Undergraduate courses which are consistently accepted for graduate credit are numbered in the 500 series but other undergraduate courses which may be deemed appropriate in individual cases may be acceptable. (Note: depending on his background and current performance, a candidate may be asked to take more that the minimum number of required courses).
In the case of a Master’s programme involving an engineering project, two typewritten copies bound in standard Accopress binders are submitted by the candidate to the Department to be read and judged by two members of the faculty, one of whom is the Supervisor and the other appointed by him. When the project report has been accepted one copy is deposited in the Department and one is retained by the Supervisor.
In the case of a Master’s programme involving a thesis the candidate is required to present a seminar (CE 805) on the thesis topic as part of this degree programme. The details for submission of a Master’s thesis are outlined elsewhere under Graduate Studies . Master’s theses will be read and judged by three readers, namely (a) the candidate’s supervisor, (b) a faculty member appointed by the supervisor, and (c) a faculty member appointed by the department.
Current research in the five major areas of specialization include the following.
Major subdivisions of study are applied mechanics, structural mechanics, concrete structures, properties of materials, experimental mechanics and stochastic systems. Current research includes studies in structural stability, static and dynamic response of structures, propagation of elastic distrubances in solids, elastic and inelastic continua, structural response to random excitation, nonlinear stochastic processes, hydroelasticity, analysis and design of reinforced and prestressed concrete structures, structural optimization, computer-aided design of structures, strength and safety of structures, strength of pressure vessels, plastic behaviour of shells, mechanisms of fatigue failure in materials, rheology, structural model mechanics, experimental stress analysis, modal analysis of contact problems, fluid flow, behaviour of plastics at elevated temperatures, theory and technique of designing experiments, and foundations of photoelasticity.
Transportation Planning and Engineering
soil Mechanics and Geotechnical Engineering
Water Resources and Sanitary Engineering
dydraulics and Water Resources Systems Planning
Department of Civil Engineering 225
The major areas of study are urban transportation planning, transportation systems analysis, highway planning and engineering, traffic engineering and air transport planning. Current research activities include investigations in transportation systems analysis, urban transportation analysis methods, urban land use models, economic analysis of transportation systems, inter-city air transportation of persons and goods and studies in bituminous materials.
Major subdivisions of study in this area are soil mechanics, foundation engineering geology. Current activities include studies on the yielding of soils, settlement of structures, model testing, seepage and engineering geology.
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, evaluation of the applicability of trickling filters for waste treatment in cold climates, scale-up in activated sludge, protein sparing in biological systems. Both laboratory-scale and pilot plant facilities are being used in these studies. Research is also being conducted in the areas of nutrient removal and solid-liquid separation. 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.
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
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.
Governing equations of the classical theory of plates, rectangular and circular plates, Reissner’s theory, vibrations, nonlinear theories, governing equations of bending of thin elastic shells, approximate theories of shells, cylindrical shells, shells of surface of revolution.
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.
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.
concrete beams. Shear strength of prestressed beams. Prestressed beams.Prestressed plates and shells. Cracking, rigidity and safety of prestressed structures.
Basic concepts of instability of a structural system, bifurcation, energy increment, snapthrough, methods of finding critical loads, post-buckling behaviour, buckling of imperfection sensitive structures, dynamic instability of nonconservative systems.
Mathematical preliminaries; coordinate transformation, introduction to tensors, tensor fields and transformations, integral theorems. Analysis of deformation; deformation tensors and rates of deformation tensors and their mechanical significance, convecting and rotating axes. Analysis of stress; definition of stresses and their physical significance, rates of stresses, objective stress-rates. Fundamental laws; conservation of mass, momentum and energy, thermodynamics of continuous media. Constitutive equations. Rheology.
An introduction to the variational principles of mechanics and their applications in engineering, virtual work, principles of minimum potential energy and complementary energy, approximate methods of solution.
Response characteristics of linear system. Indicial response and frequency response. Weighting function and the convolution integral. Stability, transfer function concepts of linear systems. Introduction to analogue computation techniques. Functions of one and two random variables. Sequences of random variables, mean-square estimation, moments, characteristic functions. Stationary stochastic processes, transformation of stochastic systems. Correlation and power spectrum of stationary processes, linear systems for random stationary processes. Linear mean-square estimation, Wiener-Kolmogoroff theory, filtering and prediction. Prerequisite: Knowledge of elements of the theory of probability, distribution and density functions.
The equations of applied mechanics and the methods of solution, equilibrium problems, eigenvalue problems, calculus of variations, approximate methods of solution, applications.
Role of stress analysis in engineering. Methods of experimental stress analysis. Model similarity. Creep, recovery, relaxation. Modulation of radiation by stress and strain fields. Theory of polariscopes: response, transfer function. Major photoelastic techniques: photoelastic models, coatings, gages, models of liquid flow. Static and dynamic techniques. Engineering applications.
Model techniques for studying static and dynamic behaviour of structures. Stress states in viscoelastic bodies. Principles of model similarity. Physical basis of similarity of strain and stress fields. Linear elastic bodies, linear viscoelastic bodies, non-linear bodies, real engineering materials. Relations between basic quantities: stress, strain, birefringence. Distortional and orientation birefringence. Mechanical and optical creep and creep recovery. Linear limit stresses for strain and birefringence. Relation between frequency of electromagnetic radiation and photoelastic coefficients: spectral birefringence. Relations between dispersion of birefringence and linear and nonlinear mode of viscoelastic
Department of Civil Engineering
Creep indicators. Typical transfer functions. Examples of typical model studies of engineering problems.
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. Langrangian 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 transportation plans. Economic evaluation of urban transportation systems.
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.
Brittle Fracture—Incidence of brittle fracture, Griffith theory, : micromechanisms, crack propagation, size effects and statistical aspects of brittle fracture and static fatigue. Ductile fracture—Mechanisms of ductile fracture, effects of temperature and strain rate, criterion and theories. Transition from ductile to brittle fracture. Fatigue fracture—An introduction to cyclic and fatigue behaviour, crack nucleation and propagation mechanisms. Effects of material properties, stress concentration, geometry, surface and environment on fatigue behaviour. Statistical aspects and cumulative damage.
Principles of mixing, aeration and gas transfer, solid-liquid separation, sludge handling, flow through porous media, flocculation.
672 Biological Waste Treatment
Principles and design of biological processes including activated sludge, trickling filters, stabilization ponds and sludge digestion.
The principles of chemistry applied to water and wastewater treatment. Concepts of qualitative and quantitative organic, physical and surface chemistry. Acidity and alkalinity. Coagulation, softening and disinfection. Corrosion and water stabilization. Radiochemistry.
Design applications of principles presented in CE 671. An integration of unit processes and operations into a composite design.
Operational hydrology, sensitivity analysis, stream assimilation functions.
Hydrologic cycle. Statistical hydrology. Evaluation of hydrologic data. Surface water hydrology. Ground water hydrology.
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.
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.
716 § N17
Plasticity Elasticity
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Professor Associate Professor Associate Professor Associate Professor Associate Professor Assistant Professor Assistant Professor J Assistant Professor Assisstant Professor Assistant Professor Assistant Professor Assistant Professor Assistant Professor Lecturer _ Lecturer Lecturer Leeturer Lecturer (part-time)R Lecturer (part-time) Lecturer(part-time)