Embry-Riddle Aeronautical University Moe Moe Manoweb2.utc.edu/~qvp171/2015 Concrete...
Transcript of Embry-Riddle Aeronautical University Moe Moe Manoweb2.utc.edu/~qvp171/2015 Concrete...
Embry-Riddle Aeronautical University Moe Moe Mano
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Embry-Riddle Aeronautical University Moe Moe Mano
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Table of Contents
Executive Summary…………………………………………………………………...…….……ii
Project Management………………………………………………………………..……………..1
Organization Chart…………………………………………………………………..…………….2
Hull Design and Structural Analysis……………………………………………….…………...3-4
Development and Testing………………………………………………………….……………5-7
Construction……………………………………………………………………….……………8-9
Project Schedule…………………………………………………………………………………10
Design Drawing…………………………………………………………………….……………11
List of Appendices
Appendix A - References…………………………………………………………...……………12
Appendix B – Mixture Design Proportions………………………………………………..…….13
Appendix C – Bill of Materials………………………………………………………..…………14
Appendix D – Example Structural Calculation……………………………………...……….15-16
List of Figures
Figure 1: Total Man Hours……..…………………………………………………………………1
Figure 2: Total Expenses………………………………………………………………………….1
Figure 3: Depiction of Hull Design……………………………………………………………….2
Figure 4: Free body diagram for maximum negative moment loading……………………..…….3
Figure 5: Shear and moment diagram for maximum negative moment loading…………….……3
Figure 6: Internal stresses diagram for maximum negative moment loading…….……….………3
Figure 7: ASTM C Standard Compressive Strength………………………………………………4
Figure 8: ASTM C496 Split Cylinder Tension Test………………………………………………5
Figure 9: Layers of reinforcement mesh…………………………………………………………..6
Figure 10: Depiction of molds…………………………………………………………………….7
Figure 11: Cross sections for canoe……………………………………………………………….7
Figure 12: Wooden mold at 90% completion……………………………………………………..7
Figure 13: Plaster covered mold...............................................................................................…...8
Figure 14: Bubble wrap…………………………………………………………………………...8
Figure 15: Sewing of wire mesh…………………………………………………………………..8
Figure 16: Completed canoe………………………………………………………………………8
Lists of Tables
Table 1: Canoe specifications…………………………………………………………………….ii
Table 2: Canoe concrete mix design……………………………………………………………...ii
Table 3: Major milestone………………………………………………………………………….1
Table 4: Loading Scenarios……………………………..………………………………………...3
Table 5: Mix design 1……………………………………………………………………………..4
Table 6: Mix design 1 test results………………………………………………...……………….5
Table 7: Final mix design…………………………………………………………………………5
Table 8: Final mix design weights and strengths………………………………………………….5
Embry-Riddle Aeronautical University Moe Moe Mano
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Executive Summary
Embry-Riddle Aeronautical
University or “The Harvard of the Sky” is
located in sunny Daytona Beach, six miles
away from the beach. Embry-Riddle
Aeronautical University is the world's
oldest, largest, and most prestigious
university specializing in aviation and
aerospace. It is the only fully accredited,
aviation-oriented university in the world.
Founded in 1925 in Cincinnati Ohio,
Embry-Riddle has moved from Cincinnati to
Miami then finally to Daytona Beach in
1965. Now 50 years later, Embry-Riddle
has over 30,000 students at each of its two
main campuses, Daytona Beach, Florida,
and Prescott, Arizona, and 150 Worldwide
Campuses located in the United States,
Europe, Asia, and the Middle East. On our
campus in Daytona Beach, the most
beautiful sunsets occur over our flight line.
Inspired by the beautiful sunsets, the
aesthetics lead chose a Hawaiian theme for
this year’s canoe.
Housed in the College of
Engineering is the Civil Engineering
Department. The Civil Engineering
Department is one of the smallest
engineering departments on campus and
because of that, only three other concrete
canoes have been made and none of them
have ever won in a conference. Being at an
aviation oriented school, past senior design
projects have been concrete airplanes or
concrete rockets. This year, however, five
intelligent individuals came together and
made the concrete canoe their senior project.
All of the five students designing and
building the canoe had a little bit of
experience with the concrete canoe
competition. The Project Manager, Mix
Design Lead and Construction Lead were all
leaders for the concrete canoe team last year
that produced Miracle. Still being new to
the competition, having little resources and a
very tight budget, the senior design team had
an uphill battle ahead of them. Knowing the
mix design from Miracle was not a
competitive mix, the materials lead used
new, innovative and sustainable material to
design a mix that could compete with the
best schools in the conference. Utilizing
what they have learned from last year’s
conference in Tampa, Florida and the
knowledge they accumulated from other
schools at the conference, Moe Moe Mano
was born. At 19’1” and 200 pounds, this is
the longest, lightest and most impressive
canoe to ever come out of Embry-Riddle
Aeronautical University.
“Moe Moe Mano” Design Specifications
Weight (estimated) 200 lbs
Length 19’1”
Max Width 33”
Hull Thickness 0.5 inches
Color Gray and Blue
Reinforcement HDX 1/2 in. x 48 in.
x 25 ft. Table 1: Moe Moe Mano's Specifications
“Moe Moe Mano” Design Mix Properties
Compressive Strength (28
days)
2,288 psi
Tensile Strength (7 days) 197 psi
Dry Unit Weight 68 pcf
Wet Unit Weight 70 pcf Table 2: Concrete Mix Design Properties
Embry-Riddle Aeronautic al University Moe Moe Mano
Project Management
This year, the Concrete Canoe was
chosen for the Civil Engineering senior
design project. The team leaders were
chosen from the most experienced and
brightest students in the department. In
August, the project manager, structures lead,
aesthetics lead, mix design lead and
construction lead were chosen based on
which area they excelled in and their
previous experience and skills. In early
September, a rough draft schedule was made
to provide a base line of what needed to be
accomplished. One thing was missing from
the rough draft schedule though: the little
experience and knowledge of the concrete
canoe competition. There were major
delays in some components of choosing a
mix design and constructing the mold
because setbacks were not included in the
schedule.
One of the most important processes
to the project management of designing a
canoe is keeping the cost of production low.
Our senior design class was never given a
budget, but we were told that the cost of
building Moe Moe Mano needed to be low.
In order to keep the cost down, half the
materials used were found in our Materials
Lab at Embry-Riddle. A wooden mold was
also used instead of a foam mold, which cut
the cost by $2000.
Using the rough draft schedule, a
critical path was determined. The critical
path included completion of the following:
mix design, AutoCAD drawing, construction
of the mold and casting day. With the
original schedule, there was an allowed float
of one week. With the completion of the
schedule, major milestones were also
selected. Below is a table of the major
milestones for Moe Moe Mano.
Table 3: Major Milestones for Moe Moe Mano
Below is a chart of how many man
hours it took to design and build Moe Moe
Mano, between the five team leaders.
Figure 1: Total Man Hours dedicated to Moe Moe
Mano from the five team leaders
Figure 2: Total Expenses for Moe Moe Mano
In order to maintain safety at all
times in the lab, safety presentations were
given during ASCE meetings.
200
96321
58 40
Total Project Man Hours
Total Man Hours Research
Mix Design/Testing Construction
Analysis/AutoCAD Design Paper
$215.76
$943.08
$531.77
Moe Moe Mano Expenses
Canoe Mold Tools Mix Materials
Major Milestones Proposed Actual
Hull Design Selection 9/26/2014 9/26/2014
Material Design and Testing 12/10/2014 1/16/2015
Structural Analysis
Completion 12/1/2014 12/1/2014
Mold Construction
Completion 1/12/2015 2/14/2015
Casting Day 1/12/2015 2/15/2015
Canoe Completion 3/11/2015 3/17/2015
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Embry-Riddle Aeronautic al University Moe Moe Mano
Organization Chart
Structures Lead
Liam Goodall – Senior
Participation in competition: 2 years
Registered Participant: 0 years
Researched hull design, designed
canoe, completed all structures hand
calculations
Construction Lead
Mohammed Qahwaji – Senior
Participation in competition: 2 years
Registered Participant: 2 years
Researched best options to construct
the mold, constructed the entire
mold, in charge of choosing
reinforcement
Project Manager
Stephanie Cleary – Senior
Participation in competition: 2 years
Registered Participant: 2 years
Oversaw all aspects of the project.
In charge of AutoCAD drawings,
design paper and presentation
Mix Design
Nadia Correa – Senior
Participation in competition: 2 years
Registered Participant: 2 years
Researched best materials to use in
mix design, oversaw and conducted
mix design testing, in charge of
materials during casting day
Aesthetics Lead
James Staite – Senior
Participation in competition: 2 years
Registered Participant: 2 years
In charge of all aesthetics for the
canoe (including cross sections,
display, canoe stands) and choosing
the name
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Hull Design and Structural Analysis
This year, the structures lead decided
to use a completely new design. For good
stability and good paddling efficiency, a
shallow arch hull design was chosen. The
maximum width of the hull affects the
stability of the canoe and the efficiency of
paddling. With this in mind, a canoe width
of 30” was chosen to ensure a good balance
between stability and paddling efficiency.
Due to the selection of the shallow arch hull
shape, the base of the canoe will consist of a
flat base that is width*(1/5) inches wide, or
6 inches at the canoe centerline. This base is
flanked by two quarter circles that each have
a radius of width*(2/5) inches, or 12 inches
at the centerline. On top of these quarter
circles, there are vertical side walls that have
a height equal to the chosen depth minus the
radius of the quarter circles at any given
point. At the centerline of the canoe, the
height of these side walls is 2 inches. This
decrease is directly proportional to the total
width of the cross section at any given point.
Figure 3: Depiction of the hull design
The rocker height was chosen to be
1.5 inches, as the two racecourses involve
sharp turns. Having a relatively steep rocker
will allow the canoe to make these sharp
turns. A hull thickness of 0.5” was chosen
so the canoe would not be extremely heavy,
but it will still be strong. The final length of
the canoe was chose to be 19’-1” because a
shorter canoe requires less materials and it
will then be lighter. It also provides a
balance between weight and max speed.
Also, 2 feet of floatation will be added on
either end. This number provides enough
flotation for the canoe to pass the
submersion test
In order to analyze the canoe using
only 2-D analysis, the following
assumptions were made:
The canoe was analyzed as a
diamond-shaped beam.
The distributed load for the canoe
weight and the hydraulic load are
both triangular shaped.
The people rowing the canoe were
assumed to be 200 lbs for males and
160 lbs for females.
The only analysis was 2-D analysis done by
hand by the structures lead. Seven different
loading scenarios were done to calculate the
maximum moment, compressive strength (in
psi) and tensile strength (in psi).
For the analysis portion of the canoe,
shear and moment diagrams need to be
computed to find the stresses. They were
found across the length of the canoe due to a
longer moment arm and a smaller section
modulus. The loading for the canoe involves
a triangular distributed load on the base of
the canoe for the hydraulic forces, a
triangular distributed load on top of the
canoe for the canoe weight, and point loads
for the passengers.
For the moment calculations
involving the moment caused by the display,
this same model was used except passenger
loading and the hydraulic distributed load
were removed. The shape of the length of
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Figure 4: Free body diagram of loading for maximum negative
moment which has 1 woman and 1 male standing on either side
of the canoe
the canoe is, per the analysis method, able to
be anything wider than two triangles.
The following seven loading cases
were analyzed: max negative moment, max
positive moment, coed race loading, two
men race loading, two women race loading,
and max positive moment for display
loading. A factor of safety of 1.5 will be
added to the stresses caused by the max
negative moment (the highest stress), so
they become 64.05 psi in compression and
126.75 psi in tension. This also changes the
moment to -41220 lb*in. Shear and moment
diagrams as well as an internal stress
diagram aided in finding the overall
maximum moment, compression and tensile
strength. Below is an example of the
maximum negative moment diagrams.
Figure 6: Internal stresses diagram for the maximum
negative moment
Table 4: Seven different loading scenarios showing
the maximum moment, compressive strength and
tensile strength
The material properties used for
these calculations were given by the
materials lead, construction lead and project
manager. The density of the concrete being
used for Moe Moe Mano is 50.14 lb/ft3.
According to the project manager, the
volume of the canoe is 5984.3 in3 for a 19’-
1” canoe. Also, using HDX 1/2 in. x 48 in.
x 25 ft reinforcement, the volume of steel
needed is 154.99 in3 and the unit weight of
steel is 500 lb/ft3. Using this, the composite
unit weight of the entire canoe is:
𝛾𝑐𝑜𝑛𝑜𝑒
=
((𝛾𝑐𝑜𝑛𝑐𝑟𝑒𝑡𝑒∗(𝑉𝑐𝑎𝑛𝑜𝑒−𝑉𝑟𝑒𝑖𝑛𝑓𝑜𝑟𝑐𝑒𝑚𝑒𝑛𝑡))+(𝛾𝑠𝑡𝑒𝑒𝑙∗𝑉𝑟𝑒𝑖𝑛𝑓𝑜𝑟𝑐𝑒𝑚𝑒𝑛𝑡))
𝑉𝑐𝑎𝑛𝑜𝑒
Using this formula, the canoe average unit
weight is 61.8 lb/ft3.
In using a factor of safety of 1.5, the
structures lead wanted to make sure that
Moe Moe Mano was ready to endure the
treacherous waters of the concrete canoe
competition.
Loading Senario
Max Moment
(lb*in)
Max Compressive
Strength (psi)
Max Tensile
Strength (psi)
Max Neg Moment -27480 42.7 84.5
Max Positive
Moment 13740 42.3 21.3
Coed Loading -8760 13.6 26.9
2 Men Loading -8066.7 12.5 24.8
2 Women Loading -6453.3 10 19.8
Max Moment for
Display Loading 7251.7 22.3 11.3
Figure 5: Shear and moment diagram for the loading of maximum
negative moment
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Development and Testing
The ERAU mix design team used the
previous year’s canoe “Miracle” as a
baseline for a control mix. That mix
consisted of Portland cement type I, local
sand, 3M Scotchlite K1 microbeads, fly ash,
and ADVA CAST 540. We aimed to reduce
the canoe’s unit weight to at least 70 pcf or
less, while maintaining or increasing the
same strength as the previous year’s canoe.
We used ASTM C 109 standard test
methods for 3-day compressive strengths,
testing various modified designs of the
baseline mix.
Figure 7: ASTM C 109 Standard Compressive
Strength Test
The initial mixes contained
variations of aggregates such as
cenospheres, K1 microbeads, 1.0-2.0 mm
poraver, and 2.0-3.0 mm Poraver, however
the 2.0-3.0 mm poraver proved to be too
large of an aggregate and decreased
workability. Mixes that contained the 1.0-
2.0 mm poraver provided better compressive
strengths results and were lighter than those
that contained the cenospheres therefore the
team ordered 2 additional diameter sizes of
Poraver, 0.5-1.0 mm and 0.25-0.5 mm
Poraver aggregates. Of the initial 3 day
compressive strength mixes, a mix that
contained only Portland cement and
metakaolin in its cementitious materials
proved to be lighter than a similar mix that
was comprised of Portland cement,
metakaolin, fly ash, and slag cement. While
designing and testing the new mixes, the
structures team lead informed the materials
lead of the necessary requirements for the
mix, so the canoe will pass all the loading
requirements. The compression of the
concrete mix needed to be higher than 64.05
psi and the tensile strength needed to be
higher than 126.75 psi. With that in mind,
the mix design team went back to work in
order to ensure these numbers were met.
By the end of the fall semester, the
materials lead had chosen two mixes.
Below is a table of one the mix designs
chosen:
Mix Design #1 (NOT THE FINAL MIX DESIGN)
Material Mass(g) %Volume
Portland Cement 175 34.45
Fly Ash 75 14.76
Cementitious Total 250 49.21
Cork 5 0.98
Poraver (1-2mm) 120 23.62
K1 microbeads 30 5.91
Fibers 3 0.59
Aggregate Total 158 31.10
Water 90 17.72
ADVA Cast 540 10 1.97
Liquid Total 100 19.69
Batch Total 508 100.00
W/C ratio 0.4
Table 5: One of the mix designs chosen to continue
testing at the end of the first semester
This mix had a water cement ratio of 0.4,
which is a water cement ratio that was
desired by the mix design team. The mix
proved to be extremely lightweight which
was needed for the canoe, but the only
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Embry-Riddle Aeronautic al University Moe Moe Mano
problem was the mix was not very workable.
The following table shows the compressive
and tensile strengths of this mix. These
strengths both meet the requirements set by
the structures lead.
Table 6: Test results for the above mix design that
included Fly Ash
The second mix design selected for
further testing at the end of the second
semester was the following mix.
Mix Design #2 (The Final Mix Design)
Material Mass(g) %Volume
Portland Cement 200 38.87269
Metakaolin 50 9.718173
Cementitious Total 250 48.59086
Poraver (1-2mm) 20 3.887269
Poraver (0.5-1mm) 20 3.887269
Poraver (0.25-0.5mm) 35 6.802721
K1 microbeads 45 8.746356
Cork 1 5 0.971817
Fibers 3.5 0.680272
Aggregate Total 128.5 24.9757
Water 121 23.51798
ADVA Cast 540 15 2.915452
Liquid Total 136 26.43343
Batch Total 514.5 100
W/C ratio 0.544
1 Batch = 25 cubic inches Table 7: Final Mix Design Selected for Moe Moe
Mano
Concrete Mix Dry
Unit
Weight
(pcf)
Unit
Weight
(pcf)
7-day
Tensile
(psi)
28-day
Compressive
(psi)
Structural 68 70 197 2,288
Table 8: Final mix design weights and strengths
This mix design was chosen for the final
mix for Moe Moe Mano. The tensile
strength was found using the Split Cylinder
Test, ASTM C496. Below is the result of
the 3” diameter cylinder being tested.
There were many reasons for
choosing this specific mix design. It
contained Metapor – Metakaolin which
increases concrete strength and the specific
Metakaolin used in this mix design has
small amounts of fine expanded glass which
is used as a reactive pozzolanic hardening
additive. Polypropylene micro-fibers were
also used to greatly reduce plastic shrinkage
cracking and aided in increasing concrete
tensile strengthby acting as an added
reinforcement. The K1 beads were utilized
because they have a very low density and
are a lightweight aggregate. K1 microbeads
have a high-strength to weight ratio, with an
isostatic crush strength of 250 psi. Like last
year’s canoe, Miracle, ADVA Cast 540 was
used because it is a high-range water
reducing admixture. The most exciting
aggregates that were used in the final mix
design were cork and Poraver. Three types
of Poraver were used in the final mix design,
Test
Type
Test
Results Weight (g)
Compressive Strength
(psi)
3 day Cube 1 97.2 517
3 day Cube 2 105.3 537.5
3 day Cube 3 100.2 495
Figure 8: Final concrete mix after the
ASTM C496 Split Cylinder Tension Test
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0.25-0.5mm, 0.5-1.0mm and 1-2mm.
Poraver helps provide a high compressive
strength and a low density to the final mix
design. Cork 0.2-0.5mm is impermeable,
has a low specific gravity and is elastic. The
Poraver and Cork used were also both
sustainable materials. Poraver are tiny
hollow glass spheres made from post-
consumer recycled glass. Cork is a 100%
natural, biodegradable, fully renewable and
recyclable material. The cork used in Moe
Moe Mano was imported from Portugal,
which is one the top producing global
exporters of cork. Cork harvesting is highly
regulated in Portugal; trees aren’t harvested
till they are 25 years old, and after that they
are harvested every 9 years. The extraction
methods used in Portugal do not damage the
tree’s surface at all. Also, the cork trees are
grown naturally, without the use of
pesticides, irrigation or pruning.
The reinforcement chosen is HDX
1/2 in. x 48 in. x 25 ft which is
reinforcement readily found at Home Depot
and only cost $58.88 a roll. This
reinforcement was chosen because it is a
very strong yet thin material, so multiple
layers can go into the 0.5” thick canoe The
structures lead used the worst case scenario,
maximum negative moment with one man
and one women standing on either sides of
the canoe, to compute a factored moment of
-41220 lb*in needed for the canoe to not
split in half. The construction lead took that
moment and found that four layers of
reinforcement were needed to achieve the
desired moment. For 4 layers of
reinforcement, the total tension force was
7408.8lb, the total compression force was
7803lb, and the moment was 55011.15lb*in.
While laying the reinforcement down on the
canoe though, it was found that four layers
of reinforcement could not fit on the mold.
Using our engineering judgment and
knowing that nobody will stand on either
side of the canoe at the same time, we only
placed 2 layers of reinforcement down on
the mold. Using the coed race loading, the
factored moment is 13140 lb*in. This
factored moment is 4x less than the
maximum negative moment being used in
the calculations. Knowing this, it is safe to
say that only two layers of reinforcement
would suffice for Moe Moe Mano.
Given that the compressive and
tensile strengths of the concrete and the
moment from the reinforcement are much
higher than the numbers the structures lead
calculated Moe Moe Mano must have, we
are confidant Embry-Riddle’s concrete
canoe can easily withstand the rigors of this
year’s competition.
Figure 9: 2 layers of the reinforcement mesh,
HDX 1/2 in. x 48 in. x 25 ft
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Embry-Riddle Aeronautic al University Moe Moe Mano
Construction
Utilizing last year’s canoe, Miracle,
as a base point, the construction lead
decided that a similar method needed to be
done to construct the mold. Last year,
Miracle, was made out of a female mold.
This proved to be problematic. More
material and man hours are put into building
a female mold over a male mold. Also,
while placing the concrete on the mold last
year, the concrete would slide down the
sides and pool at the bottom of the canoe.
This caused a 2” thick bottom to the canoe
that needed to be grinded off and also used
up more material than necessary. So, this
year the construction lead chose to use a
male mold. Male molds are more
compatible with reinforcement instillation as
well as placement of concrete.
Based on preliminary research, the
most successful molds were found to be
foam molds. A company was contacted to
do the mold in the exact dimensions that
were needed for the cost of $3,000. The
foam mold idea quickly went away because
of the inability to pay for it. The next and
only option was building a mold out of
wood like last year’s canoe.
In order to get the proper size for the
cross sections, an AutoCAD drawing was
made with correct cross sections for all of
the 11 cross sections used for the mold. The
calculations for the cross sections were
given to the project manager by the
structures lead and can be found in the Hull
Design and Structural Analysis section of
this paper.
Figure 11: Cross Sections for Moe Moe Mano built in
AutoCAD
Once the cross sections were complete, they
were printed out using a HP Designjet
Plotter on 2’x3’ sheets of paper. The cross
sections were then traced onto sheets of
plywood and cut. A 2’x16’ and a 2’x8’
wood section were nailed together and were
the base for the cross sections. Lastly, thin
wood strips were placed between the cross
sections to finalize the canoe shape.
When the wooden mold was
complete, plaster was then placed over the
mold. The plaster held the wood together
and made the mold one solid piece. Once
the plaster dried, it was sanded down until it
Figure 10: Depiction of male mold and female mold
Figure 12: The wooden mold at 90% completion.
Cross sections, wood base and wood strips exposed
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Embry-Riddle Aeronautic al University Moe Moe Mano
Figure 16: Completed canoe before curing
was smooth, as to ensure the inside of the
canoe would be smooth.
While applying the plaster, the
construction lead noticed that removing the
mold may prove to be difficult if too much
plaster or too much concrete is applied in
certain places. The canoe would get stuck
on the mold and would be hard to remove.
In order to prevent possibly breaking the
canoe trying to get it out of the mold, bubble
wrap was added to the outside of the
plastered mold. The bubble wrap was
placed with the “bubbles” on the inside of
the canoe, so there would be no indents in
the concrete. The bubble wrap will help
take the canoe out of its mold easily and
without harm.
The reinforcement was placed in two
6’ sections in the middle of the canoe and
two 3’-10” sections at the ends of the canoe.
Two layers of these reinforcements were
placed on the canoe. In order to form the
reinforcement to the shape of the canoe, the
reinforcement was cut down the middle and
sewed tight together.
Figure 15: ASCE Member sewing wire mesh through
the two layers of reinforcement
The day before casting day, the
materials lead divided the dry materials up
into specific proportions and placed them
into containers for easy mixing on casting
day. 10 ASCE members showed up on
casting day to help place the concrete on the
canoe. After 13 hours, the canoe was
complete and ready to cure.
The canoe will not be taken out of
the mold until a week after this paper has
been submitted. In the two weeks before
conference, Moe Moe Mano will be sanded,
painted and have floatation placed in the en
Figure 13: Wooden mold covered in plaster,
before sanding took place
Figure 14: Bubble wrap over the plastered mold
9
ID Task Name Actual Start Actual Finish
1 First Meeting Wed 9/10/14 Wed 9/10/14
2 Hull Design Research Tue 9/9/14 Fri 9/26/14
3 Mix Design Research Mon 9/15/14 Mon 12/1/14
4 Choose Hull Design Fri 9/26/14 Fri 9/26/14
5 *AutoCad Drawing Tue 11/11/14 Fri 1/9/15
6 Choosing Reinforcement
Sat 11/1/14 Mon 12/1/14
7 Material Testing and Design
Mon10/20/14
Wed 12/10/14
8 *Mold Construction Mon 1/12/15 Sat 2/14/15
9 Design Theme Sat 11/15/14 Wed 12/10/14
10 Canoe Analysis Thu 11/20/14 Mon 12/1/14
11 Final Material Testing Sun 11/30/14 Fri 1/16/15
12 *Final Mix Selection Fri 1/16/15 Fri 1/16/15
13 *Casting Day Sun 2/15/15 Sun 2/15/15
14 Design Display Sun 3/1/15 Tue 3/17/15
15 Curing Sun 2/15/15 Sun 3/8/15
16 Patching and Sanding Sun 3/1/15 Tue 3/17/15
17 Add Floatation Sun 3/8/15 Sun 3/8/15
18 Paddling Practice Mon 2/16/15 Sun 3/15/15
19 Stain, Sealer, Pain Mon 3/9/15 Tue 3/17/15
20 Canoe Completion Tue 3/17/15 Tue 3/17/15
21 Design Paper and Engineer's Notebook
Mon 2/16/15 Wed 2/25/15
8/31 9/7 9/14 9/21 9/28 10/5 10/12 10/19 10/26 11/2 11/9 11/16 11/23 11/30 12/7 12/14 12/21 12/28 1/4 1/11 1/18 1/25 2/1 2/8 2/15 2/22 3/1 3/8 3/15 3/22 3/29
August September October November December January February March
Task
Split
Milestone
Summary
Project Summary
Inactive Task
Inactive Milestone
Inactive Summary
Manual Task
Duration-only
Manual Summary Rollup
Manual Summary
Start-only
Finish-only
External Tasks
External Milestone
Deadline
Progress
Manual Progress
Page 1
Project: Project Schedule.mpp
Date: Thu 2/26/15
Bill of Materials
No. Item Description QTY
1 Wood Cross Section 1
2 Wood Cross Section 1
3 Wood Cross Section 1
4 Wood Cross Section 1
5 Wood Cross Section 1
6 Wood Cross Section 1
7 Wood Cross Section 1
8 Wood Cross Section 1
9 Wood Cross Section 1
10 Wood Cross Section 1
11 Wood Cross Section 1
12 Concrete (See Appendix B) 1
13 Reinforcement 2 layers
14 Male Mold 1
Embry-Riddle Aeronautic al University Moe Moe Mano
Appendix A – References
2015 American Society of Civil Engineers National Concrete Canoe Competition. Rules and
Regulations. (n.d.). Retrieved February 26, 2015, from
http://www.asce.org/uploadedFiles/Membership_and_Communities/Student_Chapters/Concrete_
Canoe/Content_Pieces/nccc-rules-and-regulations.pdf
“Alluvium”. University of Nevada, Reno 2014 Concrete Design Paper. Retrieved from:
http://canoe.slc.engr.wisc.edu/Design%20Papers/2014%20-%20Nevada%20Reno.pdf
ASTM C 150, “Standard Specification for Portland Cement,” ASTM International.
ASTM C 39/C 39M, “Standard Test Method for Compressive Strength of Cylindrical Concrete
Specimens,” ASTM International.
ASTM (2011). “Standard Test Method for Splitting Tensile Strength of Cylindrical Concrete
Specimens,” ASTM C496/C496M-11, ASTM International, West Conshohocken, PA.
Canoe Design. (2013, January 1). Retrieved December 2, 2014, from
http://www.canoeing.com/canoes/choosing/design.htm
“Drage”. Drexel University 2014 Concrete Canoe Report. Retrieved from:
http://canoe.slc.engr.wisc.edu/Design%20Papers/2014%20-%20Drexel%20University.pdf
Lightweight Concrete. (2014, March 19). Retrieved February 26, 2015, from
http://www.poraver.com/us/applicationspna/lightweight-concrete/
University of Florida, Concrete Canoe. (2012) VindiGator. NCCC Design Paper, University of
Florida, Gainesville, Florida.
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Appendix B – Mix Proportions
Mixture ID: Structural Design Proportions (Non
SSD)
Actual Batched Proportions
Yielded Proportions YD Design Batch Size (ft3): 27
Cementitious Materials SG Amount (lb/yd3)
Volume (ft3)
Amount (lb)
Volume (ft3)
Amount (lb/yd3)
Volume (ft3)
CM1 Portland Cement Type II 3.15 421.32 2.143 91.88 0.467 CM2 Metakaolin 2.60 105.33 0.649 22.97 0.142 CM3 CM4
Total Cementitious Materials: 526.65 2.79 114.85 0.61
Fibers 526.65
F1 Polypropylene 0.91 7.37 0.130 1.38 0.024 F2
Total Fibers: 7.37 0.13 1.38 0.02
Aggregates
A1 Poraver (0.25mm-0.5mm) Abs: 30
0.69 73.73 1.712 16.08 0.003
A2 Poraver (0.5mm - 1.0mm) Abs: 25
0.46 42.13 1.468 9.19 0.320
A3 Poraver (1.0-2.0mm) Abs: 20 0.42 42.13 1.608 9.19 0.351
A4 Cork (0.2mm-0.5mm) Abs: 0 0.06 10.53 2.813 2.30 0.614
A5 3M K1 Microbubbles Abs: 0.14 94.80 10.852 20.67 2.366
Total Aggregates: 263.32 18.45 57.43 3.65
Water W1 Water for CM Hydration (W1a + W1b)
1.00
277.02 4.439 62.02 0.994
W1a. Water from Admixtures 22.12
4.82
W1b. Additional Water 254.90 55.14
W2 Water for Aggregates, SSD 1.00
Total Water (W1 + W2): 277.02 4.439 62.03 0.99
Solids Content of Latex, Dyes and Admixtures in Powder Form
S1 Latex (if used) S2 Liquid Dye (if used) S3 Other Latex or Liquid Dye (if used) 1.10 9.48 0.138 2.07 0.030 P1 Pigment 1 (Powder Form)
Total Solids of Admixtures: 9.48 0.14 2.07 0.03
Admixtures (including Pigments in Liquid Form)
% Solids
Dosage (fl
oz/cwt)
Water in Admixture
(lb/yd3)
Amount (fl oz)
Water in Admixture
(lb)
Dosage (fl
oz/cwt)
Water in Admixture
(lb/yd3)
Ad1 ADVA CAST 540 8.8 lb/gal 30.00 83.69 22.12 96.12 6.890 Ad2 Admixture 2 lb/gal Ad3 Admixture 3 lb/gal
Water from Admixtures (W1a): 22.12 6.89
Cement-Cementitious Materials Ratio 0.800
Water-Cementitious Materials Ratio 0.53
Slump, Slump Flow, in. M Mass of Concrete. lbs 1083.84 237.76 V Absolute Volume of Concrete, ft3 25.95 5.31 T Theorectical Density, lb/ft3 = (M / V) 41.76 44.76 D Design Density, lb/ft3 = (M / 27) 40.14
D Measured Density, lb/ft3 A Air Content, % = [(T - D) / T x 100%] 3.88 Y Yield, ft3 = (M / D) 27
Ry Relative Yield = (Y / YD)
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Appendix C – Bill of Materials
Material Quantitiy Unit Cost Total Price
Canoe Mold Lump Sum $215.76 $215.76
Tools Lump Sum $943.08 $943.08
Cork 0.034 15/lb $1.73
1-2 mm Poraver 55 L Bag 27 lb 0.70/lb $18.90
.05-1 mm Poraver 55 L Bag 33 lb 0.7/lb $23.10
0.25-0.5 mm Poraver 55 L Bag 38 lb 0.7/lb $26.60
1/2 in x 4 ft x 25 ft Hardware Cloth Lump Sum $294.40 $294.40
ADVA Cast 540 0.0685 ft3 23.99/lb $112.86
PSI Fiberstrand 100 0.1 ft3 3.24/lb $1.85
K1 Mircrobeads 0.303 ft3 18.78/lb $40.09
Metakaolin 0.336 ft3 0.02/lb $0.86
Portland Cement 1.35 ft3 0.09/lb $11.38
Total Cost $1,690.61
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Appendix D – Example Structural Calculations
2 Male Loading Scenario
Assumptions:
- The canoe was analyzed as a diamond-shaped beam
- The distributed load for the canoe weight and the hydraulic load are both triangular shaped
- The canoe dimensions used in the calculations are exactly as specified
- The people rowing the canoe were assumed to be 200 lbs for males
Free Body Diagram
Shear and Moment Diagrams
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Centroid of base = 0.5 in / 2 = 0.25 inches from bottom
Centroid of arcs = 12 in – 2r/π r = 12 in – 0.5 in/2 = 11.75 in
arc centroid = 12 – (2*11.75)/ π = 4.52 inches from bottom
Centroid of sides = 12 in + 2 in/2 = 13 inches from bottom
Area of base = 6 in * 0.5 in = 3 in2
Area of each arc = (πr12)/4 - (πr2
2)/4 = (π*122)/4 – (π*11.52)/4= 9.23 in2
Area of each side = 0.5 in * 2 in = 1 in2
Centroid = ΣA*y / ΣA = 110.19 in3/23.46 in2
Centroid = 4.70 inches from base
Moment of Inertia Base: Ibase = I + Adbase
dbase = y – 0.25 in = 4.70 – 0.25 = 4.45 in
Ibase = bh3 + bhdbase2 = (6)(0.53) + (6)(0.5)(4.452)
Ibase = 60.16 in4
Base (each): Ibase = I + Adsides
dsides = ((ysides – y)2 + (r – 0.5 – b/2)2)1/2
= ((13 - 4.70)2+(12 - 0.25 + 3)2)1/2
dsides = 16.92 in
I = bh3 = (0.5)(23) = 4 in4
Isides = 4 in4 + (1 in)(16.92 in)2
Isides = 290.3 in4
Arc (each): Iarc = I + Adarc
darc = ((y-yarc)2 + (r – yarc +b/2)2)1/2
= ((4.70-4.52)2 + (12 – 4.52 + 3)2)1/2
darc = 10.48 in
I = 0.0549r14 – 0.0549r2
4
I = 0.0549(124) – 0.0549(11.54) = 178.20 in4
Iarc = 178.20 in4 + (9.23 in2)(10.48 in)2
Iarc = 1191.9 in4
Total moment of inertia of cross section = 60.2 in4 + 2(1191.9 in4) + 2(290.3 in4)
Total Moment of Inertia of cross section =3024.6 in4
Y (in) A (in) A*y (in2)
Base 0.25 3 0.75
Arc 4.52 9.23 41.72
Arc 4.52 9.23 41.72
Side 13 1 13
Side 13 1 13
Σ 23.46 110.19
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