Graduate Courses

CIV 518S Behaviour & Design Of Steel Structures
P.C. Birkemoe
The behaviour and design of trusses, frames, members and connections in steel building and bridge structures is presented and design methods are developed. Ultimate strength, stability, and postbuckling are emphasized in topical examples including: plate girders, composite steel/concrete girders, second-order frame behaviour, high-strength bolted and welded framing connections. Design applications considering metal fatigue and brittle fracture, and methods of plastic analysis are also introduced. Canadian design standards and the Limit States Design concepts are used.

CIV 519F Structural Analysis II
F.J. Vecchio
The general flexibility and stiffness methods of analysis; multispan beams, trusses, frames andgrids; loadings due to force, support displacement, temperature change and member prestrain. Topics in this course represent the basis for the finite element method of analysis.

CIV 1161F Prestressed Concrete Structures
M.P. Collins
Methods for predicting the behaviour of prestressed elements and structures are presented. Design requirements and design procedures are discussed. Topics include:
  • Prestressing Techniques
  • Material Properties
  • Elements Subjected to Uniaxial Strains
  • Elements Subjected to Biaxial Strains
  • Disturbed Regions
  • Restraint of Deformations
  • Design Codes
  • Design of Prestressed Concrete Buildings and Bridges.


CIV 1162S Elasticity & Energy Methods
(Offered only periodically)
Introduction to calculus of variation. Stress measures; equilibrium; large and infinitesimal strain measures; strain tensors; compatibility. Theory of elasticity for deformable bodies; constitutive relations. Classical solutions to selected boundary value problems. Energy and Variational Principles. Formulation of problems with constraints. Variational methods of approximation. (Rayleigh-Ritz, Hellinger-Reissner, Weak Forms, Weighted Residuals.) Review of field theories for plates. Review of classical problems in Stability.

CIV 1163F Mechanics Of Reinforced Concrete
F.J. Vecchio
Theories of elasticity and plasticity, as applied to reinforced concrete, are examined. Topics include: mechanical properties of concrete and reinforcement; constitutive relations; failure criteria; linear-elastic models; nonlinear-elastic models; elastic-plastic models; limit analysistheorems; and an introduction to fracture mechanics of concrete. Compression field and smeared crack models are discussed, as are methods of their implementation and application in nonlinear finite element analyses. Plane frame structures are examined in terms of limit analysis of load capacity, deformations at service load levels, and second-order effects. The concepts and applications of strut-and-tie models for the design and detailing of concrete structural components are presented. Methods of analysis for the influence of thermal gradients are also examined.

CIV 1164F Bridge Engineering
B. Bakht
This course deals with the planning, analysis, and maintenance of bridge structures. Fundamental behaviour and practical design considerations are emphasized in detailed studies of typical steel and prestressed concrete bridges.

CIV 1166F Plastic Analysis & Design Of Steel Structures
P.C. Birkemoe
Structural limit theorems are examined as they are applied to structural analysis and the design of steel beams and frames. Methods of analysis include the conventional static and kinematic approaches and plastic moment distribution for design. Secondary effects which affect ultimate moment capacity are reviewed, as are stability requirements for plastically designed frames. Plastic analysis of plates and connections is also covered. Limit states design examples are performed according to the requirements of CAN/CSA-S16.1-94.

CIV 1167S Structural Dynamics*
The response of civil engineering structures to various time-dependent disturbances is studied. Multi-degree of freedom structures are examined with a view to the simplification of their analyses by reduction to as few degrees of freedom as is warranted. Response into the inelastic range of material resistance is considered. Matrix organization of analysis is used whenever advantageous and typical problems are solved with the aid of electronic computers.
(*Note: This course is at present given as a combined single credit course with CIV 1170S.)

CIV 1169S Advanced Topics In Building Design
S.A. Sheikh
Introduction to various structural systems; analysis of coupled shear walls using various techniques such as Laminar method, Finite difference formulation, Equivalent Frame method; stagewise incremental analysis of walls including plastification of laminae; design of walls and coupling beams; shear wall-frame interaction; behaviour of framed tubes; shear lag in tubes; approximate methods of analysis for frame tubes and multistorey frames. Individual projects involving specialized topics will form an integral part of the course.

CIV 1170S Design Of Concrete Structures For Earthquake Resistance*
J.F. Bonacci
Response to time-dependent loads and in particular to ground motion of concrete structures, treated as multi-degree of freedom systems. Response spectrum. Principles of earthquake resistant design. Strength, stiffness, ductility and energy dissipation of reinforced concrete structures. Current design criteria, behaviour of joints and connections. Case studies. (Corequisite: Course CIV 1167S or equivalent.)
(*Note: This course is at present given as a combined single credit course with CIV 1167S.)

CIV 1174S Finite Element Methods In Structural Mechanics
Review of required mathematical concepts. Thorough development of the displacement method of finite element analysis. Derivation of the element matrices for plane stress and strain, three dimensional, axisymmetric and plate bending elements. Introduction to nonlinear analysis. Application to structures using existing computer capabilities. (Prerequisite: Course CIV 519F or equivalent.)

CIV 1175S Design of Tubular Steel Structures
J.A. Packer
This course covers contemporary structural design with an extremely popular material - tubular steel. An overview of international specifications and design guides is given and "state-of-the-art" limit states design procedures are presented, discussed and illustrated with worked examples. Offshore structures are given some treatment but the course concentrates on onshore structures made from manufactured tubing or Hollow Structural Sections (HSS). Specific topics deal with: materials, testing and properties; columns and poles; concrete-filling; fire protection; fabrication, including bolting, welding and nailing; plastic analysis of connections; welded tube-to-tube connections; braced frames and bracing design; bolted connections; finite element analysis of tubular structures; truss design for 2D triangulated or Vierendeel trusses; 3D space frames; moment-resisting frames and connections; and fatigue of connections.

(Prerequisite: Familiarity with CAN/CSA-S16.1-94 and plastic analysis.)
Textbook: "Hollow Structural Section Connections and Trusses - A Design Guide", 2nd. edition, by J.A. Packer and J.E. Henderson, Canadian Institute of Steel Construction, 1997.

CIV 1361SM Reinforced & Prestressed Concrete Structures
M.P. Collins
Methods for predicting the load-deformation response of reinforced and prestressed concrete elements and structures are reviewed. The use of computer-based analytical procedures are illustrated in terms of case studies. The evaluation and repair of concrete structures in distress is discussed. Design procedures for concrete buildings, bridges and other civil engineering structures are explained. (Prerequisite: CIV 417S or CIV 1161F or other equivalent introductory course on Prestressed Structures.)
Textbook: "Prestressed Concrete Structures", by M.P. Collins and D. Mitchell, Respone Publications, 1997.
(Note: This is a compressed and intensive summer course involving 24 lecture hours over a two week period, so it requires the full-time commitment from those students who wish to receive graduate credit for the course.)

STRUCTURAL ENGINEERING - U of T - 4:07 PM August 5, 1999