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Storage Facilities. CJ Developments. Jin Ho Lee Jeong Eun Park Cara Leong Dang Wan Kim Caroline Poot. Our Process. Research Consolidation Answers. How many people in a family?. 2.61 children born/woman (CIA World Factbook) R ound 2.61 children to 3 children A dd 2 parents - PowerPoint PPT Presentation
Citation preview
How many people in a family?2.61 children born/woman (CIA World
Factbook)Round 2.61 children to 3 childrenAdd 2 parentsEquals 5 people in a family!
However, our group mostly has 4 people in each family, so:4 ± 1 people in a family!
Starting QuestionsHow much water does each person use?What do we use water for? What is the best shape to store water in?
Answering QuestionsHow much water does an average person
use?Internet research69.3 gallons per person for indoor purposes ()
laundry, shower, toilets, cooking, drinkingConvert into litres1 gallon = 3.78541178 litres
69.3 gallons ≈ 263 litres Leeway: 263 ± 2 litres
Answering QuestionsWhat is the best
shape to store water in?
Perimeter and Circumference vs. Area (of 2-D objects)
Circle vs. Square Real life examples A cylinder is the best
shape to store water in
How to calculate Surface AreaSurface area of a cylinder is calculated by:
Closed (2πrh) + (2πr2) = 2πr(r+h)
Open 2πrh + πr2
When r = radius of the cylinder’s base circle
h = the height of the cylinder
r
h
How to calculate volumeThe volume of a cylinder that has a radius of
r:π × r2 × hSince a cylinder is a prism, the
volume = base area × height
r
h
CalculationTotal amount of water needed for entire village:
263 ± 2 L × 4 ± 1 people × 50 families × 14 days = 736 400 ± 26% L = 736 400 ± 200 000 L
Volume of storage tank: 736 400 ± 200 000 L of water = 736.4 ± 200 m3
This way, both the different sizes of family and different consumption of water are accounted for
Maximum 756.4m3 (around 757m3)Minimum716.4m3 (around 717m3)
Best Choice (Max. Volume)Radius (m)
Base Area (m2)
Height (m)SA of Height
(m2)Cost of Metal
($)Concrete (m3)
Concrete Cost ($)
Total Cost ($)
1 3.14 240.96 1514.00 21283.96 1.41 904.78 22189
2 12.57 60.24 757.00 10949.86 3.93 2513.27 13463
3 28.27 26.77 504.67 7857.01 7.70 4926.02 12783
4 50.27 15.06 378.50 6706.43 12.72 8143.01 14849
5 78.54 9.64 302.80 6438.31 19.01 12164.25 18603
6 113.10 6.69 252.33 6699.39 26.55 16989.73 23689
7 153.94 4.92 216.29 7338.27 35.34 22619.47 29958
8 201.06 3.77 189.25 8279.23 45.40 29053.45 37333
9 254.47 2.97 168.22 9480.24 56.71 36291.68 45772
10 314.16 2.41 151.40 10916.06 69.27 44334.16 55250
Radius vs. Height vs. Total CostRadius (m) Height (m) Total Cost ($)
1 240.96 219642 60.24 130773 26.77 122364 15.06 141425 9.64 177346 6.69 226607 4.92 287678 3.77 359829 2.97 4426010 2.41 53577
Best Choice (Min. Volume)Radius (m)
Base Area (m2)
Height (m)SA of Height
(m2)Cost of Metal
($)Concrete
(m3)Concrete Cost
($)Total Cost
($)
1 3.14 228.23 1434.00 20163.96 1.41 904.78 21069
2 12.57 57.06 717.00 10389.86 3.93 2513.27 12903
3 28.27 25.36 478.00 7483.68 7.70 4926.02 12410
4 50.27 14.26 358.50 6426.43 12.72 8143.01 14569
5 78.54 9.13 286.80 6214.31 19.01 12164.25 18379
6 113.10 6.34 239.00 6512.73 26.55 16989.73 23502
7 153.94 4.66 204.86 7178.27 35.34 22619.47 29798
8 201.06 3.57 179.25 8139.23 45.40 29053.45 37193
9 254.47 2.82 159.33 9355.80 56.71 36291.68 45647
10 314.16 2.28 143.40 10804.06 69.27 44334.16 55138
Radius vs. Height vs. Total CostMaximum Volume Minimum Volume
Radius (m) Height (m) Cost ($) Height (m) Cost ($)
1 241 22189 228 21069
2 60 13463 57 12903
3 27 12783 25 12410
4 15 14849 14 14569
5 10 18603 9 18379
6 7 23689 6 23502
7 5 29958 5 29798
8 4 37333 4 37193
9 3 45772 3 45647
10 2 55250 2 55138
JustificationViability vs. Cost
Is it really that good to have a 26± 1m structure?
Is it possible to have a 26 ±1m structure that will hold its weight?
Amount of water used:Leeway for water use of people in case they
need more waterLevel of Accuracy (nearest whole number):
Easier to see the difference between figures
JustificationFor the cheapest cost,
the height of the cylinder will be at least 25m, which is too highWater pressure
For stability, if the radius is 1m larger, the height goes down by almost 10mStability, pressure
distribution
Our Storage TankHas a capacity of
7437 000 ± 200 000L
Is in the shape of a cylinder
Dimensions:Radius: 4 metresHeight: 14.5 ± 0.5
metresCost: $14700 ± 150
How did we get our numbers?Base area: π × r2
Height: Volume needed (m3) ÷ base areaTotal surface area: 2πr(r+h)Cost of metal: $ (14 × total surface area)Volume of concrete: (radius + 0.5m)2 × 0.2mCost of concrete: $ (640 × volume of
concrete)Total cost: $ (Cost of metal + cost of
concrete)
Starting QuestionsWhat kind of grain are we storing?How much grain are we putting in storage?What kind of shape is the best for storing the
grain?
Answering QuestionsWhat kind of grain are we storing?
Grain can be used to make many types of foodRice, corn, oats, ryeBread
for our purposes, we’ll pretend that we’re storing rice
Answering QuestionsHow much grain are we putting in storage?
The space that the cooked rice takes up is 3-4 times the space that uncooked rice takes up
Each person eats about 300cm3 of cooked rice per meal
300cm3 of cooked rice ≈ 100cm2 of uncooked rice
Answering QuestionsWhat kind of shape is best for storing the
grain?Real life examplesCylinder has the largest area for a fixed
perimeterCylinders are also used for silos
Examples of Grain Storage
http://www.dengie-crops.com/media/silos%20and%20lorry.JPG
http://www.mawaterquality.org/gallery/photos/hog%20grain%20storage.jpg
Calculation100cm3 uncooked rice × 3 meals × 4 people ×
50 families × 14 days = 840 000 cm3 of uncooked rice
840 000cm3 = 0.84m3
Shed has to have a volume of 0.84m3
round to 1m3
Best Choice for Grain StorageRadius Base Area Height
Circumference
SA of Height
TSACost of Metal
ConcreteConcrete
CostTotal Cost
0.1 0.03 31.8 0.6 20.0 20.0 280.4 0.1 64.3 345
0.2 0.1 8.0 1.3 10.0 10.1 141.8 0.2 100.5 242
0.3 0.3 3.5 1.9 6.7 6.9 97.3 0.2 144.8 242
0.4 0.5 2.0 2.5 5.0 5.5 77.0 0.3 197.0 274
0.5 0.8 1.3 3.1 4.0 4.8 67.0 0.4 257.4 324
0.6 1.1 0.9 3.8 3.3 4.5 62.5 0.5 325.7 388
0.7 1.5 0.6 4.4 2.9 4.4 61.6 0.6 402.1 464
0.8 2.0 0.5 5.0 2.5 4.5 63.1 0.8 486.6 550
0.9 2.5 0.4 5.7 2.2 4.8 66.7 0.9 579.1 646
1.0 3.1 0.3 6.3 2.0 5.1 72.0 1.1 679.6 752
Justification
With radius of 0.2 the height have to be 8 to hold 0.84m3.
To have a structure with stability have to be radius of 0.3 and height of 3.5.
JustificationHaving a same cost stability will be better.
So having lower height with longer radius is safer to hold the weight.
It has plenty of space to put in a lot of grain
Our Grain SiloIs cylindricalHas a capacity of 1m3
Dimensions:
Cost:Of metal sheet: $100 ± 10 ($97.30)Of concrete: $150 ± 10 ($144.80)Total cost: $250 ± 20 ($242.10)
Work cited Where we got the amount of food and water per person :http://www.newsobserver.com/weather/drought/story/1016009.html. 1
Dec. 2008 <http://www.newsobserver.com/weather/drought/story/1016009.html>.
:https://www.cia.gov/library/publications/the-world-factbook/. 1 Dec. 2008 <https://www.cia.gov/ library/publications/the-world-factbook/>.
Where we got the image of grain storage: http://www.dengie-crops.com/media/silos%20and%20lorry.JPG. 1 Dec.
2008 <http://www.dengie-crops.com/media/silos%20and%20lorry.JPG>.
: http://www.mawaterquality.org/gallery/photos/hog%20grain%20storage.jpg. 1 Dec. 2008 <http://www.mawaterquality.org/gallery/photos/hog%20grain%20storage.jpg>.
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