The University of Arizona 199395 General Catalog Catalog Home All UA Catalogs UA Home

Civil Engineering and Engineering Mechanics (C E/E M) Civil Engineering Building, Room 206 (520) 6212266 Professors Dinshaw N. Contractor, Acting Head, Donald A. DaDeppo, Chandrakant S. Desai, Martha W. Gilliland, Achintya Haldar, David J. Hall (Emeritus), Simon Ince (Hydrology and Water Resources), Rudolf A. Jimenez, James D. Kriegh (Emeritus), Emmett M. Laursen (Emeritus), Allan J. Malvick, Haaren A. Miklofsky (Emeritus), Richmond C. Neff (Emeritus), Philip B. Newlin (Emeritus), Ralph M. Richard (Emeritus), Raymond A. Sierka, Ernest T. Smerdon Associate Professors Robert G. Arnold, Donald J. Baumgartner, Curtis W. Bryant, Muniram Budhu, Mohammad R. Ehsani, Donald B. Hawes (Emeritus), Panos D. Kiousis, Tribikram Kundu, Bruce E. Logan, Margaret S. Petersen (Emerita), Robert H. Wortman Assistant Professors Sonia H. Armaleh, George N. Frantziskonis, William M. Isenhower, Kevin E. Lansey, Hamid Saadatmanesh The department offers the Bachelor of Science in Civil Engineering, and the Master of Science and Doctor of Philosophy degrees with majors in civil engineering and engineering mechanics. (See the College of Engineering and Mines section of this catalog for specific undergraduate program requirements.) Additional information relating to each of these programs may be obtained by contacting the department head. Civil Engineering (C E) 210. Engineering Graphics (3) I II S GRD Representations and analysis of systems of orthographic projection and graphical methods used in engineering design and production, correlated with technical sketching. 1R, 6L. 2ES, 1ED. 214. Statics (3) I II S GRD Equivalent force systems; equilibrium; geometric properties of areas and solids; friction; virtual work; potential energy. Honors section is available. 3ES. P, PHYS 110, MATH 125b. 217. Mechanics of Materials (3) I II S GRD Material behavior; relationship between external forces acting on elastic and inelastic bodies and the resulting behavior; stress and deformation of bars, beams, shafts, pressure vessels; stress and strain; combined stresses; columns. Honor section is available. 3ES. P, 214. 251. Elementary Surveying (3) I II GRD Theory of measurements and errors; vertical and horizontal control methods; topographic, public land and construction surveys; use of surveying instruments. 2R, 3L. 3ES. P, 210, MATH 118. 302. Numerical Analysis in Civil Engineering (3) I II S Numerical analysis and use of digital computers in the solution of problems associated with the various fields of civil engineering. P, 214, ENGR 101; CR, MATH 254. 307. Contracts, Specifications and Engineering Ethics (3) I II Law as applied to engineering contracts and contract documents, including specifications; and ethics in engineering. Writing Emphasis Course. P, Satisfaction of the upperdivision writing proficiency requirement (see "WritingEmphasis Courses" in the Academic Guidelines section of this catalog). 320. Fluid Mechanics Laboratory (1) I II Openchannel and closed conduit studies of basic flow phenomena, with emphasis on continuity, conservation of momentum, and exchange of energy; calibration of flowmeasuring devices. 3L. 1ES. CR, 321, A ME 250. 321. Civil Engineering Hydraulics (3) I II S Hydrostatics, continuity, irrotational flow, pressure distributions, weirs and gates, momentum and energy, surface drag, pipe friction, form drag, pipe fitting losses. 3ES. P, 214, MATH 223. 322. Water Resources Engineering (3) I II Openchannel flow, natural streams and waterways, hydrologic analysis, fluid measurement apparatus, hydraulic models; economic aspects of water resources. 1.5ES, 1.5ED. P, 321, A ME 250. 330. Structural Engineering I (3) I II S Analysis of statically determinate structures, including beams, frames and trusses; influence lines, virtual work, moment area and conjugate beam; Betti's theorem and Castigliano's theorem. 3ES. P, 217. 331. Structural Engineering II (3) I II S Analysis of statically indeterminate beams, frames, and trusses; use of computer programs. 3ES. P, 330; CR 302. 336. Structural Design in Steel (3) I II CDT Design of steel members, connections and simple structures, including tension members, laterally supported and unsupported beams, columns, beamcolumns, bolted and welded connections; introduction to load and resistance factor design. 3ED. P, 330; CR 331. 337. Structural Design in Concrete (3) I II S Introduction to reinforced concrete design. 3ED. P, 330. 340. Soil Engineering (4) I II Physical and mechanical properties of soils, shear strength, consolidation, settlement, lateral earth pressures, and bearing capacity. 3R, 3L. 3ES, 1ED. P, 217, CHEM 103b. 360. Transportation Engineering (3) I II CDT Basis for planning, design, and operation of transport facilities; transport modes discussed include mass transit, passenger cars, bicycles, and pedestrian movement. 1ES, 2ED. P, 251, SIE 265, A ME 250. 361. Highway and Airport Engineering (3) I CDT Materials, construction and structural design of highways and airports. 1ES, 2ED. P, 340. 370. Water Supply and Wastewater Systems (3) I II CDT Design of water distribution and wastewater collection systems and fundamental principles of unit treatment processes. 1.5ES, 1.5ED. P, 321. 371. Water and Wastewater Treatment Process (3) I Analysis of processes controlling water quality in natural water systems and design of water and wastewater treatment systems. 1ES, 2ED. P, 370. 380. Materials Laboratory (2) I II Mechanical properties of concrete, concrete aggregates, steel, and other metals as engineering materials. 1R, 3L. 2ES. P, 217, CHEM 103b. 394. Practicum a. Junior Field Trip (1) II Fee. Students are urged to take this trip in the junior year. Fee. 400. Civil Engineering Design (3) I II Integration of accumulated background in civil engineering course work for application to specific design projects. Interaction with practicing engineers to develop design methodologies. 3ED. P, at least four of: 322, 337, 340, 360, 370. 402. Introduction to Finite Element Methods (3) I II Theory and formulation procedures: energy and residual. Onedimensional problems: stress analysis in axial structures, steady and transient fluid and heat flow, consolidation, wavepropagation, beamcolumn. Twodimensional problems: field and plane/axisymmetric, use of computer codes for solution to typical problems. 2ES, 1ED. P, 302. May be convened with 502. 410. Probability in Civil Engineering (3) II Outlines the extent of uncertainties under which civil engineering designs and decisions are made. Theory and application. Advanced topics in riskbased engineering design. System reliability concepts. Statistical decision theory and its application in civil engineering. Identifying and modeling, nondeterministic problems in engineering in understanding many recently issued engineering codes. ES. P, consult department before enrolling. May be convened with 510. 417. Mechanics of Materials II (3) II Three dimensional analysis of stress and strain, Castigliano's theorems, curved beams, asymmetric bending, shear center, torsion of thinwalled sections, beams on elastic foundation, nonlinear material behavior, membrane stresses in shells. 2ES, 1ED. P, 217. May be convened with 517. 423. Hydrology (3) I Discussion and analysis of major topics of the hydrologic cycle and their interrelationship, such as rainfall, infiltration, evaporation, and runoff. Statistical and probabilistic methods in water supply and flood hydrology. 2ES, 1ED. P, 321. (Identical with HWR 423) May be convened with 523. 424. Hydraulic Engineering Design (3) II Application of principles of hydraulic analysis to the design of hydraulic systems. Applications will vary and include hydropower systems, stilling basins, open channel distribution and collection systems, pipe networks and pumping systems, drainage problems and other topics. P, 322. May be convened with 524. 427. Computer Applications in Hydraulics (3) I Computer modeling of surface water hydrology, flood plain hydraulics and water distribution systems. Theoretical basis. Application and design studies. 1ES, 2ED. (Identical with HWR 427). May be convened with 527. 428. Introduction to Coastal Engineering (3) II Hydrodynamics of the coastal zone; coastal sediment processes and their interaction with structures; diffusion in coastal waters and marine outfall design; coastal zone management. 1ES, 2ED. P, 321. May be convened with 528. 432. Advanced Structural Design in Steel (3) I Advanced problems in the analysis and design of steel structures including beam columns, plate girders, composite construction, multistory buildings; static and dynamic lateral and vertical loads; connections; computer applications. 3ED. P, 336. May be convened with 532. 434. Design of Wood and Masonry Structures (3) Determination of gravity and lateral loads on structures. Design of wood structures for axial load and bending; structural wood panels, diaphragms and shear walls. Types of masonry construction. Design of masonry structures for gravity and lateral loads. 3ED. P, 331, CR 337. May be convened with 534. 437. Advanced Structural Design in Concrete (3) II Advanced problems in the analysis and design of concrete structures, design of slender columns and one and two way slabs; lateral and vertical load analysis of bridges and multistory buildings; introduction to design for torsion and seismic forces; use of structural computer programs. 3ED. P, 337. May be convened with 537. 440. Foundation Engineering (3) II Settlement and bearing capacity of shallow and deep foundations; beam on elastic foundation; design of footings and pile foundations; foundations on metastable soils; the use of computer codes for foundation problems. 1ES, 2ED. P, 340. May be convened with 540. 441. Earth Structures in Geotechnical Engineering (3) I Stability analysis for earth slopes, including planar, circular piecewise linear, and compositesurface methods: analyses for static and steadyflow conditions; earth pressure theories and calculations for generalized conditions; design of rigid and flexible retaining structures; design of braced and tieback shoring systems; design of reinforced earth walls; computeraided analysis and design. 1ES, 2ED. P, 340. May be convened with 541. 444. Special Topics in Geomechanics (3) I Introduction to geoenvironmental engineering; physiochemical and microstructural behavior of geomaterials, effect of pollutants, design of waste disposal systems; advanced laboratory testing, geotextiles, space geomechanics, etc. P, 340 or consent of instructor. May be convened with 544. 452. Engineering Surveys (3) I CDT Solar and Polaris observations; mineral, public, and private land surveys; route surveying, curves, and earthwork; triangulation, photogrammetry, and modern engineering surveys. 2R, 3L. 1.5ES, 1.5ED. P, 251. May be convened with 552. 455. Irrigation Engineering (4) II (Identical with ABE 455) May be convened with 555. 3R, 3L. 2ES, 2ED. 458. Drainage of Irrigated Lands (3) II 199394 (Identical with ABE 458) May be convened with 558. 462. Bituminous Materials (3) II Manufacture and evaluation tests for the control of bituminous materials used in highway construction and maintenance. 2R, 3L. 0.5ES, 2.5ED. P, 340 or consult department before enrolling. May be convened with 562. 463. Traffic Engineering (3) I Methods for the efficient and safe operation of transport facilities through analysis of capacity, safety, speed, parking, and volume data. 3ED. P, 360. May be convened with 563. 464. Airport Planning and Design (3) II Location, analysis and design of airports and airport facilities, including aircraft characteristics, site selection, configuration, capacity, access and terminals. Field trips. 3ED. P, 360. May be convened with 564. 465. Project Planning and Modeling (3) II Use of systems analysis in contemporary planning, including consideration of social, environmental and physical constraints; study of general and special purpose manual and computerbased simulation and gaming as an engineering and planning tool. 0.5ES, 2.5ED. P, senior standing in civil engineering or consult with department. May be convened with 565. 468. Urban Transportation Planning (3) II CDT Transportation planning in relation to urban development; techniques and procedures for developing longrange regional plans. 3ED. P, 360 or consult department before enrolling. (Identical with PLNG 468) May be convened with 568. 476R. Chemistry of Environmental Engineering (3) I Chemistry of natural waters and water and wastewater treatment processes. Chemical thermodynamics, equilibria and kinetics are applied to environmental systems. 3ES. P, CHEM 103b, MATH 254. May be convened with 576R. 476L. Environmental Chemistry Laboratory (1) I Laboratory exercises emphasizing the chemistry of natural waters, water and wastewater including related analytical methods. 3L. 1ES. CR, 476R. May be convened with 576L. 478. Introduction to Hazardous Wastes (3) II Management, planning, legal and engineering aspects of liquid and solid hazardous waste treatment and disposal. 2ES, 1ED. P, 370 or consult department before enrolling. May be convened with 578. 479. Environmental Air Pollution (3) I Air pollution sources and pollutant control, with special consideration of the meteorological, urban, rural, industrial, and health aspects. 2.5ES, 0.5ED. May be convened with 579. 481. Construction Methods (3) II Introduction to estimating; construction planning and methods; selected topics of fundamental importance in construction, including the Critical Path Method and PERT. 2R, 3L. 3ED. P, 337, 380. 486. Fundamentals of Industrial Hygiene (3) I (Identical with OSH 486) May be convened with 586. 487. Advanced Industrial Hygiene and Safety (3) II (Identical with OSH 487) May be convened with 587. 497. Seminar w. Advanced Cadastral Survey (14) II (Identical with RNR 497w, which is home) May be convened with 597w. 502. Introduction to Finite Element Methods (3) I II For a description of course topics, see 402. Graduatelevel requirements include research on a single aspect of the finite element method. P, 302. (Identical with E M 502) May be convened with 402. 503. Subsurface Fluid Dynamics (3) I (Identical with HWR 503) 504. Numerical Methods in Subsurface Hydrology (4) II (Identical with HWR 504) 510. Probability in Civil Engineering (3) II For a description of course topics, see 410. Graduatelevel requirements include a project paper. May be convened with 410. 511. ComputerAided Geometric Design (3) (Identical with A ME 511). 517. Mechanics of Materials II (3) II For a description of course topics, see 417. Graduatelevel requirements include a research report on a special problem. P, 217. May be convened with 417. 521. River Engineering (3) I 199495 River geomorphology, stabilization and rectification of alluvial rivers, canalization, waterborne commerce, impacts of river engineering works. P, 322. 523. Hydrology (3) I For a description of course topics, see 423. Graduatelevel requirements include a project paper. P, 321. (Identical with HWR 523 and AR L 523) May be convened with 423. 524. Hydraulic Engineering Design (3) II For a description of course topics, see 424. Graduatelevel requirements include a research paper and/or a design project. P, 322. May be convened with 424. 525. Water Quality Modeling (3) I 199495 Deterministic and stochastic modeling of surface water systems with particular emphasis on water quality management functions. Applications and modifications of StreeterPhelps technique for predicting oxygen levels in streams. P, 321. (Identical with HWR 525) 526. Water Quality Management (3) II (Identical with HWR 526) 527. Computer Applications in Hydraulics (3) For a description of course topics, see 427. Graduatelevel requirements include a research paper or project. 1ES, 2ED. (Identical with HWR 527). May be convened with 427. 528. Introduction to Coastal Engineering (3) II For a description of course topics, see 428. Graduatelevel requirements include a term paper. May be convened with 428. 529. Analysis by Hydraulic Models (3) I 199394, II 199495 Types and theories of models. Advantages, distortions, limitations, interpretation of models, with examples and case studies. P, 322. 532. Advanced Structural Design in Steel (3) I For a description of course topics, see 432. Graduatelevel requirements include a comprehensive design project. P, 336. May be convened with 432. 533. Plastic Analysis and Design (3) I 199495 Material and member behavior to full plastification; redistribution of forces; plastic design of continuous beams and frames; influence of axial and shear forces; deflections and rotations; alternating plasticity; shakedown analysis. P, 432 or consult department before enrolling. 534. Design of Wood and Masonry Structures (3) II 199394 For a description of course topics, see 434. Graduatelevel requirements include a comprehensive design project. P, 331, CR 337. May be convened with 434. 536. Prestressed Concrete Structures (3) I 199495 Behavior, analysis, and design of statically determinate and indeterminate prestressed concrete structures. P, 337. 537. Advanced Structural Design in Concrete (3) II 199495 For description of course topics, see 437. Graduatelevel requirements may include a research paper or a comprehensive design project. May be convened with 437. 540. Foundation Engineering (3) II For a description of course topics, see 440. Graduatelevel requirements include the development of computer codes for the solution of specified foundation problems or an indepth research paper on a specific aspect of foundation engineering. P, 340. May be convened with 440. 541. Earth Structures in Geotechnical Engineering (3) I For a description of course topics, see 441. Graduatelevel requirements include a research paper and/or a comprehensive design project. P, 340. May be convened with 441. 544. Special Topics in Geomechanics (3) I 199495 For description of course topics, see 444. Graduatelevel requirements include a research paper and/or a comprehensive design project. May be convened with 444. 547. Seepage and Earth Dams (3) I 199394, II 199495 Principles of flow in porous media; analytical and approximate solutions of confined and unconfined flow; seepage, erosion, piping and filter design; earth and rock fill dam construction and design; stability analyses. P, 340. 548. Numerical Methods in Geotechnical Engineering (3) II 199394 Brief statements and applications of numerical methods based on closedform solutions, finite difference, finite element and boundary element methods for problems involving soil structure interaction such as piles, retaining walls, group piles, underground works; seepage; and consolidation. P, 340, 402 or 502. 552. Engineering Surveys (3) I CDT For a description of course topics, see 452. Graduatelevel requirements include a comprehensive surveying project. P, 251. May be convened with 452. 555. Irrigation Engineering (4) II (Identical with ABE 555) P, CE 321 or A ME 331a. May be convened with 455. 558. Drainage of Irrigated Lands (3) II (Identical with ABE 558) May be convened with 458. 562. Bituminous Materials (3) II For a description of course topics, see 462. Graduatelevel requirements include an indepth research paper. P, 340, or consult department before enrolling. May be convened with 462. 563. Traffic Engineering (3) I For a description of course topics, see 463. Graduatelevel requirements include a research paper or project. P, 360. May be convened with 463. 564. Airport Planning and Design (3) II 199495 For a description of course topics, see 464. Graduatelevel requirements include a research paper or project. P, 360. May be convened with 464. 565. Project Planning and Modeling (3) II For a description of course topics, see 465. Graduatelevel requirements include a research paper or project. P, senior standing in civil engineering or consult with department. (Identical with PLNG 565) May be convened with 465. 568. Urban Transportation Planning (3) II CDT For a description of course topics, see 468. Graduatelevel requirements include a research paper or project. P, 360 or consult department before enrolling. (Identical with PLNG 568) May be convened with 468. 573. Biodegradation of Hazardous Organic Compounds (23) I Chemical and microbiological considerations which affect the thermodynamics and kinetics of transformations of hazardous organic compounds in treatment facilities and in natural settings. 1R, 3L. P, 577, or consult with department. 574. Environmental Transport Processes (3) I Engineering concerns in toxic and hazardous waste management with focus on aspects of chemical transport between air, water and soil systems, and microbial degradation processes in natural and engineered environment. 575. Microbiology of Environmental Engineering (3) I Microbiological concepts and their application to natural and engineered systems for upgrading water and wastewater quality. 2R, 4L. P, 370. 576R. Chemistry of Environmental Engineering (3) I For a description of course topics, see 476R. Graduatelevel requirements include a paper on the properties of a chemical pollutant of environmental interest and application of computer models for chemical equilibrium computations. May be convened with 476R. 576L. Environmental Chemistry Laboratory (1) I For a description of course topics, see 476L. For graduatelevel requirements, see 576R. 3L. CR, 576R. May be convened with 476L. 577. The Physiological Bases of Microbial Treatment Processes (3) II Principles of bacterial physiology including morphology, metabolism and genetics. Applications of importance to waste treatment and environmental quality. P, 370, or consult with department. 578. Introduction to Hazardous Wastes (3) II For a description of course topics, see 478. Graduatelevel requirements include a report on an indepth review of interdisciplinary aspects of an existing project (with a nonuniversity project engineer). P, 370 or 471, or consult department before enrolling. May be convened with 478. 579. Environmental Air Pollution (3) I For a description of course topics, see 479. Graduatelevel requirements include a research project on a particular aspect of air pollution. May be convened with 479. 586. Fundamentals of Industrial Hygiene (3) I (Identical with OSH 586) May be convened with 486. 587. Advanced Industrial Hygiene and Safety (3) II (Identical with OSH 587) May be convened with 487. 596. Seminar a. Environmental Engineering (13) I II [Rpt./2] b. Geomechanics/Mechanics Structures (1) [Rpt./2] I II (Identical with E M 596b) c. Hydraulics and Water Resources (1) I II [Rpt./2] 597. Seminar w. Advanced Cadastral Survey (14) II (Identical with RNR 597w) May be convened with 497w. 613. Theory of Elastic Stability (3) II 199394 Bending and buckling of prismatic bars, beams, rings, curved bars, thin shells, and thin plates under axial and lateral loads. P, 417 or E M 603 and C E 402, or consult department before enrolling. 621. Sediment Transportation (2) II 199394 Erosion, transportation and deposition of sediments by flowing water; sediment properties and their measurement; bed load and suspended load movement; river behavior and control. P, 321. 622. OpenChannel Flow (3) II 199394 Continuity, energy and momentum principles applied to steady and unsteady flow in open channels: channel controls, transitions, flood routing, and models. P, 322 or consult dept. before enrolling. 623. Flow through Hydraulic Structures (3) I 199394, II 199495 Subcritical and supercritical flow through culverts, bridges, spillways, stilling basins, transitions, bends; hydrologic effects on inflow; pumps and turbines. P, 322. 624. Planning and Design of Multipurpose Water Resources Projects (3) I 199394 Design of water resource systems for surface water supply, flood control, hydropower and navigation, either as single purpose or as multipurpose projects; brief review of environmental, economic and legal aspects. Field trips. P, 321, 423 or 523. 632. Infrastructure Rehabilitation (3) II 199394 Status of infrastructure and causes of deterioration of constructed facilities. Strengthening of bridges and buildings. Application of advanced modern materials such as fiber composites in new structures and for rehabilitation of existing structures. P, 331, 336, 337. 633. Reinforced Concrete Members (3) II 199394 Inelastic behavior of beams and columns; short and longterm beam deflections; combined bending, shear, and torsion in beams; behavior under load reversals; analysis and design of beam to column connections and shear walls. P, 437 or departmental approval. 637. SoilStructure Interaction (3) I 199394 Definition of soil structure interaction, static and dynamic loading, analytic and computer solutions, two and three dimensional structure foundation combinations. P, 340, 548 or consent of instructor. 640. Advanced Soil Mechanics (3) I Site investigation and in situ testing; shear strength of sands and clays; interpretation of laboratory test results; consolidation theory: onedimensional infinitesimal and finite strain; slope stability. P, 340. 641. Advanced Foundation Engineering (3) II Shallow foundations, pile foundations, sheetpiles, bulkheads. P, 340. 645. Geoenvironmental Engineering (3) II Interaction of environmental and geotechnology; physiochemical properties and mechanism of pollutant transport; effects on soil and foundation behavior and ground water, analytical and numerical modelling, design of geotechnical structures and waste contaminant systems; P, 340, 544 or consent of instructor. 646. Soil Dynamics and Machine Foundations (3) I 199394 II 1994 95 Soil behavior under dynamic loads, measurement of dynamic soil properties, soil liquefaction, wave propogation through soils, vibration analysis of shallow and deep foundations, machine foundation design. Case histories and rehabilitation. P, 640. 648. Constitutive Laws for Engineering Materials (3) II Statement of axioms of continuum mechanics. Strain, stress and nonlinear behavior. Laboratory testing including hyperelasticity, hypoelasticity, rate type models, plasticity review, hardening, volume change and dilatancy, softening, inherent and induced anisotropy, laboratory testing and implementation. P, E M 505, 603, or consult department before enrolling. (Identical with E M 648) 649. Probabilistic Methods in Geotechnical Engineering (3) I Randomness and probability, properties of probability distribution, random walk, normal distribution, analysis of flow systems, probabilistic theory of stress distribution, variability of functions, uncertainty and material parameters, reliability applications in slope stability, bearing capacity, stochastic processes. P, 340. (Identical with G EN 649) 661. Structural Design of Flexible Pavements (3) I Analysis of loads, stresses, material characteristics, and environmental factors for the theoretical and practical design, construction and maintenance of pavements. P, 340, 361. 662. Structural Design of Rigid Pavements (3) II Analysis of loads, stresses, material characteristics, and environmental factors for the theoretical and practical design, construction and maintenance of these pavements. P, 340, 361. 664. Transportation Economics (3) I 199394, II 199495 Economic analysis of transport projects, including rural and urban roadways, control systems, and mass transit; discussion of environmental and financial factors. P, 463 or 563. 665. Quick Response Transportation Planning Methods (3) II 1993 94 Quick response transportation tools for subarea, problem and policy analysis, and strategic planning in the urban setting. (Identical with PLNG 565) 666. Highway Geometric Design (3) I Study of geometric elements of streets and highways, with emphasis on analysis and design for safety. P, 463 or 563. 667. Traffic Operations and Safety (3) I 199495 Application of traffic control devices for street and highways, design of traffic control systems, analysis and management of highway traffic, evaluation of safety. P, 463 or 563. 668. Urban Public Transportation Systems (3) I 199394 Development, operation, management, financing, evaluation and travel demand estimation for urban public transportation systems. (Identical with PLNG 668) 673R. Advances in Water and Waste Reclamation and Reuse (3) II Theory, application, and evaluation of currently developing techniques in water and waste reclamation and reuse. P, 675. 673L. Advanced WaterWastewater Treatment Laboratory (1) II Experiments in physicalchemical treatment of water and wastewater designed to illustrate treatment design principles in that subject area. 3L. CR, 673R. 674. Toxic and Hazardous Waste Treatment (3) I The process engineering fundamentals from which treatment strategies and process treatment trains can be synthesized to control toxic and hazardous wastes. Both traditional and emerging technologies will be considered. Emphasis will be placed on integrated water, air and land interfacial environmental interactions. Field trips. P, 574, or consult with department. 675R. Wastewater Treatment (3) I Theoretical and applied principles of aerobic and anaerobic wastewater treatment systems. P, 370. 675L. Wastewater Treatment Laboratory (1) I Experiments in biological treatment of wastewater and anaerobic digestion designed to illustrate treatment principles. 3L. CR, 675R. 676R. Advanced Water Treatment System Design (3) II Design and operation of water treatment plants; physicochemical treatment processes for potable water production. Engineering Mechanics (E M) 502. Introduction to Finite Element Methods (3) I II (Identical with C E 502) 505. Continuum Mechanics (4) II 199394 Analysis of deformation, principal stresses and strains, velocity fields, and rate of deformation; constitutive and field equations; elementary elasticity. P, C E 417, or consult department before enrolling. 508. Fracture Mechanics (3) I 199394, II 199495 Modes of fracture; crack propagation; Griffith energy balance; crack tip plasticity; Jintegral; fatigue cracks; analytical and numerical techniques; constitutive models for damaged materials. P, 505, or consult with department. 511. Advanced Finite Element Analysis (3) I 199495 Approximation functions, Lagrangian and Hermitian interpolation, isoparametric elements and numerical integration; mixed, hybrid and boundary element methods, nonlinear analysis, nonlinear problems in solids under static and dynamic loads, time integration schemes, fluid and heat flow coupled problems and mass transport. P, C E 402, or consult department before enrolling. 596. Seminar b. Geomechanics/Mechanics Structures (1) [Rpt./2] II (Identical with C E 596b) 603. Elasticity Theory and Application (3) I General three dimensional equations of elasticity; problems in plane stress, plane strain, extension, torsion; energy, residual and other solution methods; applications to rings, beams, plates, torsion and other problems. P, C E 217, 302. 604. Plasticity Theory and Application (3) II Yield conditions and flow rules for perfectly plastic and strain hardening materials; application to various elastoplastic problems such as bars, cylinders and plates; effect of volume change behavior, isotropic and anisotropic hardening plasticity with expanding/contracting yield surfaces. P, C E 417 or E M 603, or consult department before enrolling. 633. Structural Dynamics and Earthquake Engineering (3) I 199495 Vibrations and dynamic response of structural systems to periodic and arbitrary loadings and support motion; response spectrum and stepbystep formulations for seismic analysis and design. P, 635, A ME 250. 635. Matrix Methods in Structural Mechanics (3) I Formulation of the force and displacement methods; the finite element method, with application to bar, beam, plate, and shell structures; organization and development of computer programs; linear and nonlinear systems. P, C E 331 or A ME 461. 637. Plates and Shells (3) I 199495 Theory and analysis of circular, rectangular and continuous plates by classical, numerical and approximate methods; introduction to inplane forces and shells. P, C E 336 or A ME 324. 639. Energy Methods in Engineering Mechanics (3) I 199394, II 199495 General concepts and principles in mechanics, conservative mechanical systems, variational methods. Applications to deformable bodies. 648. Constitutive Laws for Engineering Materials (3) I 199394, II 199495 (Identical with C E 648) 
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