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Civil and Environmental Engineering Fundamentals

North Carolina School of Science and Mathematics via YouTube

Overview

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Learn fundamental engineering principles through a comprehensive video lecture series covering aerospace and civil & environmental engineering topics. Master essential concepts including static equilibrium, structural analysis, fluid mechanics, environmental modeling, and mathematical applications in engineering. Explore vector analysis, coordinate systems, stress and strain calculations, beam analysis with shear and moment diagrams, and hydrological modeling techniques including the Thiessen Polygon Method and rainfall-runoff relationships. Develop skills in orthographic projection, measurement precision, numerical integration, and data visualization while working through practical examples such as aircraft wing geometry, water treatment systems, air pollution modeling, and structural design problems. Apply the ideal gas law to real-world scenarios, understand buoyancy principles, and analyze environmental contaminants through dispersion modeling and population attributable fraction calculations. Gain hands-on experience with cellular automata modeling, multivariate experimental design, and gauge discharge measurements for stream flow analysis.

Syllabus

Thiessen Polygon Method: Step 1
Peak Discharge Estimation: Rational Method
Thiessen Polygon Method: Step 2
Population Attributable Fraction, part 1
Thiessen Polygon Method: Step 5
Thiessen Polygon Method: Step 3
Thiessen Polygon Method: Step 4
Dispersion Modeling
Stage-Discharge Curve Example
Fundamental and Derived Quantities
Principle of Moments: Varignon's Theorem Example
Curve Fitting a Stage-Discharge Relationship
Cantilever Beam: Shear and Moment Diagrams
Rainfall Runoff Depth and Curve Number
Population Attributable Fraction, part 2
Static Equilibrium: Moments
Temperature Scales: Relative and Absolute
Polar, Cylindrical & Spherical Coordinate Systems
Mean Values of Spatial Data
Principle of Moments: Varignon's Theorem
Vectors for Engineering #1: What is a vector?
Environmental Contaminants
Aircraft Principal Axes
Creating a Contour Map Using Isolines
Wing Geometry Terminology
Static Equilibrium: 2D Beam Examples
Isometric to Orthographic drawing
Static Equilibrium: Finding Reactions
Cartesian Coordinate Systems
2D Cellular Automata - Conway's Game of Life
Vectors for Engineering #4: Vector Addition
Design of Multivariate Experiments
Measurement of an Irregular Channel Cross Section
Ideal Gas Law and a Jet Engine!
Internal Stress
Personal Standing Pressure
Rainfall Characteristics
Visualizing Raster Data in a Spreadsheet
Examples of Internal Stress
Vectors for Engineering #3: Vector Components
Defining a Spatial Basis
Deflate-Gate and the Ideal Gas Law
Numerical Integration of Wing Planforms
Buoyancy
Tian Deng Reverse Engineering Project: Surface Area Calculation
Orthographic Projection - a paper airplane example
How Much Helium?
"My First Model" - Introduction to Cellular Automata and Agent Modeling
Orthographic Projection of Points, Lines and Planes part 1
Creating Raster Data from a Contour Plot
Vectors for Engineering #2: Graphical Vectors
Air Pollution
Drinking Water Treatment
Static Equilibrium: Support Reactions
2D Vector Addition Aero example 1
Concentration
"How Old Are You - In Seconds?" An example to motivate precision and significant figures.
Water Supply Modeling
Tian Deng Reverse Engineering Project: Measurement
Stress States
Numerical Integration of Bird Wings
Surface Characteristics and Runoff
Measurement & Precision
Static Equilibrium: Forces
Erosion
2D Vector Addition Aero example 2
Observing Air Pressure
Balance and Moments excerpt
Distributed loads
The Ideal Gas Law
Area MOI Calculation Examples
Runoff Pollutants
Continuity Equation: Stream Flow Example 1
Simply Supported Beam: Shear and Moment Diagrams
Orthographic Projection of Points, Lines and Planes part 3
Continuity Equation: Stream Flow
Volume and Flow, part 1
Gauge Discharge
Orthographic Projection of Points, Lines and Planes part 2
Continuity Equation: Stream Flow Example 2
Effects Of Scale on Buoyant Flight
Buckling
Exponential Growth and Decay
Area Moment of Inertia
Volume and Flow: Example 1
Volume and Flow, part 2
Cross Channel Geometry
Stress & Strain Examples
Tian Deng Reverse Engineering Project: Volume Approximation Formulas
Tian Deng Reverse Engineering Project: Volume Calculations
Volume and Flow: Example 2
Gauge Discharge Example
Bending Stress on a Beam
Free Body Diagrams
Internal Forces
Shear Stress and Strain
Strain

Taught by

North Carolina School of Science and Mathematics

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