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![Page 1: Marissa Blakley YES Prep Public Schools – Houston, Texas Dr. Giovanna Biscontin & Dr. Charles Aubeny Department of Civil Engineering.](https://reader034.fdocuments.in/reader034/viewer/2022051619/56649d9f5503460f94a8aa87/html5/thumbnails/1.jpg)
Foundations for Offshore Wind Towers
Marissa BlakleyYES Prep Public Schools – Houston, Texas
Dr. Giovanna Biscontin & Dr. Charles AubenyDepartment of Civil Engineering
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The Research Problem
The strong lateral forces present at sea cause wind turbines to vibrate, or rock back and forth.
These vibrations cause the soil at the bottom of the ocean to weaken, creating a vertical angle between the pile and ocean floor.
If this angle exceeds 5o, the wind turbine stops producing energy. Texas A&M University, Department of Civil Engineering
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My Research Experience In order to measure the strength of the
soil, the research team conducted T-bar and Mini Shear Vane tests using soil mined and shipped from Florida.
Teachers were responsible for mixing powdered clay and water to a predetermined water content of 55%, and determining the soil strength by running each of the tests.
Data was collected using the T-bar, Mini Shear Vane, Basic DAQ and Smart Motor Interface computer software.
The T-bar test recorded voltages and then multiplied by the calibration factor giving force, which is an indicator of soil strength.
The Mini Shear Vane test recorded voltages and multiplied by the calibration factor giving torque.
With these different methods of collecting data, we were able to improve our understanding of the soil mechanics in the ocean.
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Enduring Understandings◦ Using the Unit Circle and right triangle trigonometry, we can
generate the graphs for the sinusoidal functions y = sin(x) and y = cos(x).
◦ Sinusoidal functions can be used to model real world applications – the rise and fall of tides, pendulum motion, the movement of weights supported by springs, etc.
◦ All previous transformations of functions can be applied to sinusoidal functions.
Unit 5- Sinusoidal Functions
Essential Questions◦ How does understanding the unit circle, lead to the
construction of the graphs of and ?◦ What types of real-world problems can be modeled and
solved using trigonometry?◦ How are graphic representations of the trigonometric
functions useful in understanding real-life phenomena?
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TEKS3.B - Use functions
such as logarithmic, exponential,
trigonometric, polynomial, etc. to
model real-life data
3.E - Solve problems from physical situations
using trigonometry, including the use of Law of Sines, Law of Cosines, and area formulas and
incorporate radian measure where needed.
College Board
PC.2.1.1 - Graphs functions of the form f (t) = A sin(Bt + C) + D or g(t) = A cos(Bt + C) + D, and interprets A, B, C, and
D in terms of amplitude, frequency, period, and
vertical and phase shift.PC.1.1.6 - Compares and
contrasts characteristics of different families of functions,
such as trigonometric functions, and translates among verbal, tabular, graphical, and symbolic
representations of functions.PC.2.1.5 - Constructs the graphs of the
trigonometric functions, and describes their behavior, including
periodicity, amplitude, zeros, and symmetries.
YESPC.4.1 –
Analyzing periodic functions
PC.5.1 – Graphing the sine and cosine
functionsPC.5.2 – Writing
sinusoidal functions from graphs and written
descriptionsPC.5.3 – Application
problems involving sinusoidal functions
Performance Standards
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Amplitude Period Midline Periodic Function Periodic Phenomena Sinusoidal Function Sinusoidal Regression
Geotechnical Engineering
Wind Turbine Monopile Blades Low-g Accelerometer Energy Diversification
Key Words
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What is engineering to you? Based on
your prior experiences, what do
you think an engineer does?
Day 1 - QuickwriteENGAGE.
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Aerospace Agricultural Biological Biomedical Chemical Civil Computer Science Electrical
Engineering Technology
Industrial Distribution
Industrial & Systems Mechanical Nuclear Petroleum
Day 1 – Class DiscussionWhat are the different kinds of engineering?
ENGAGE.
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Day 1- Engineering VideoEXPLORE.
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Day 1- Types of Civil Engineering Coastal Ocean Construction Environmental Geotechnical Materials Structural Transportation Water Resources
EXPLORE.
http://en.wikipedia.org/wiki/Geotechnical_engineering
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Day 1- My ResearchEXPLAIN.
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The Task◦ In teams of four, design an offshore wind turbine
with budget and specification guidelines that will perform under sea-like conditions.
Day 1- The Wind Turbine Project
EXPLAIN.
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The Model◦ Create a subsurface structure that will attach to a
wind tower no larger than 18 vertical inches with attached blades.
Day 1- The Wind Turbine Project
EXPLAIN.
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The Budget◦ All models must be completed using the provided
materials, and each group must remain at or under their project budget–60 Eddy bucks.
Day 1- The Wind Turbine Project
EXPLAIN.
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The Materials◦ Sheets of plastic◦ Wooden dowels◦ Popsicle sticks◦ Toothpicks◦ Pipe Cleaners◦ Glue Stick◦ Straws◦ Sheets of cardstock◦ Rubber bands
◦ Pushpins◦ Large paper clips◦ Small paper clips◦ Brads◦ Sheets of foam◦ Paint sticks◦ Duct tape◦ Scissors
Day 1- The Wind Turbine Project
$6/sheet $2 each $3 each $1 each $2 each $0.50 each
$0.10 each $4 each $2 each $2/sq. in. $5 each $3 each $1 each $0.50/6 inch piece
$1 each
$2/sheet
$2 each
EXPLAIN.
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Day 2- The Engineering Design Process
ELABORATE.
Mr. Tim Chinn, Texas A&M University
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The Tracker
Day 2- The Wind Turbine Project
ELABORATE.
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The Tests◦ Each team’s model will be tested in two ways:
How much does the structure vibrate when put under wind conditions?
How much weight can be applied before each structure fails?
Day 2- The Wind Turbine Project
ELABORATE.
Vernier.com
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Day 2- Improving Designs The majority of Day 2 will be spent in the
design phase of the engineering design process.
Each team will be provided with a bucket full of the soil mixture (75% water content) to test their creations.
As they work on their models, teams will be allowed to simulate testing conditions & improve their designs.
ELABORATE.
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Day 3- Testing & Data Collection
EVALUATE.
Test 1: How much does the structure vibrate when put under wind-like conditions?
Test 2: How much weight can be applied before each structure fails?
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Day 3- The RubricEVALUATE.
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Day 4- PreCalculus Connections
EVALUATE.
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7. Over the course of one day, a team of scientists has recorded the ground temperature, measured in oF, as a function of the time t, measured in hours since midnight. The scientists have agreed that this data is periodic and can be properly modeled using a sinusoidal function.
Based on this model, which of the following statements is true?
I. The maximum temperature in the desert occurs before 2:00 p.m. II. Between midnight and 6:00 a.m., the temperature remains below 76oF III. The temperature in the desert is decreasing between 3:00 a.m. and 4:00 a.m.
A. I onlyD. II and III only.
B. II onlyE. I, II and III
C. I and III only
Sample Pre-Test & Post-Test Questions
t 6 7 8 9 12 15 18 21 23oF 76 80 85 90 104 109 104 100 80
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Sample Pre-Test & Post-Test Questions
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Acknowledgements
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Dr. Giovanna Biscontin
Dr. Charles Aubeny Ryan Beemer Madahuri Murali Francisco Grajales Michelle Bernhardt Silvia Vital E3 Team
Special Thanks
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Questions?