Lecture Notes

MATHEMATICS
Notation
Fractions
Functions
Calculus
Quadrature
Combinations
Series Expansions
Complex Analysis
Nonlinear Equations
Differential Equations
Vectors and Geometry
Matrices and Linear Algebra
BASIC MECHANICS
Symbols
Stress, Strain, Mohr’s Circle
Stress Concentrations, Fatigue, Fracture
Stress-based Failure Criteria
PLANE TRUSSES AND FRAMES
Idealization of Structures and Loads
Assumptions, Theories, Methods
Stability and Indeterminacy
Forces in Determinate Structures
Moment-Area Method
Conjugate Beam Method
Unit Virtual Load Method
Flexibility Method
Slope Deflection Method
Moment Distribution Method
Stiffness Method
Influence Lines
Approximate Methods
Elasto-plastic Analysis
STRUCTURAL BOUNDARY VALUE PROBLEMS
Truss Members
Euler-Bernoulli Beams
Beams on Elastic Foundation
Timoshenko Beams
2D Elastic Beams
3D Elastic Beams
St Venant Torsion
Warping Torsion
Beams with Axial Force
Lateral Torsional Buckling
2D Continuum Problems
Kirchhoff and Mindlin Plates
3D Continuum Problems
STRUCTURAL INITIAL VALUE PROBLEMS
SDOF Oscillators
ENERGY METHODS IN STRUCTURAL ANALYSIS
Virtual Work and Variational Principles
Calculus of Variations
Work and Energy Expressions
COMPUTATIONAL METHODS IN STRUCTURAL ANALYSIS
Computational Stiffness Method
Finite Element Fundamentals
Sensitivity Analysis
The Truss Element
The Linear Frame Element
The Displacement-based Nonlinear Frame Element
The Force-based Nonlinear Frame Element
The CST Element
The Q4 Element
The M4 Element
BASICS OF PROBABILISTIC ANALYSIS
Uncertainty and Risk
Set Theory
Probability Theory
PROBABILISTIC MODELS
Discrete Random Variables
Continuous Random Variables
Extreme Value Models
Multivariate Distribution Models
Linear Regression Models
Logistic Regression Models
Damage Accumulation Models
Size Effect Models
Fragility Models
Bayesian Network Models
Bayesian Hierarchical Models
Bernoulli Sequences
Poisson Point Processes
Poisson Pulse Processes
Continuous Stochastic Processes
Discounting Models
PROBABILISTIC METHODS
Analysis of Functions
Probability Transformations
Reliability Analysis
MVFOSM
FORM
SORM
Sampling
System Reliability
Load Combination
Stochastic Dynamics
Stochastic Fatigue
MAKING DECISIONS UNDER UNCERTAINTY
How Humans Make Decisions
Calibration to Past Practice
Calibration to Target Safety
Expected Cost Theory
Expected Utility Theory
Prospect Theory
LQI and SWTP
Decision Trees
TECHNICAL WRITING
Why Write Well
Good Habits of Technical Writing
Grammar
GrammarMini Dictionary

a place of mind, The University of British Columbia

Department of Civil Engineering
6250 Applied Science Lane,
Vancouver, BC, V6T 1Z4, Canada
Dr. Terje Haukaas
Tel: 604-827-5557
Email:

Emergency Procedures | Accessibility | Contact UBC  | © Copyright The University of British Columbia