SKYE Storage Facilities
Ⅰ.Data
Information about water
Country Swiss Japan France GermanyNetherland
sKorea
Amount of water(L) 402 367 211 196 195 398
(A chart from Ministry of Environment of Korea)
http://edu.me.go.kr/env2/index.html
The volume of water - 1ml = 1cm^3
Information about rice
• An adult eats approximately 220g of rice a day.
• The volume of cooked rice is twice bigger than raw rice.
• Volume of rice- 1g = 1cm^3
Water container in real life
http://www.ipco.com.sg/watter.htmhttp://www.piedmontsub.com/Gville.shtml Usually cylindrical shape
Food container in real life
http://www.foodmixers.com/models_vessels.asp
Ⅱ.Calculations and Designs
ⅰ.Water Container
How much water are we using per day?
• A shower- 30L
• A bath- 80L
• Washing Machine- 100L
• Washing Dishes-20L
• Drinking Water- about 2.6L
• Flushing Toilet- 10L
The amount of water we are going to supply
A person uses about 212L of water a day.
A family of 2 adults and 2 children will use 212L*3(2 children use 212L)=636L
636L-100L(washing machine)-240L(Bath)-40L(2 times of washing dishes)= 260L
50 families will use 260L*50=13000L a day.
∴13000L*14=182000L for two weeks.
Water Container• Shape- Cylinder
(Not fragile)
• A cylinder’s TSA calculation method
= πr^2 + 2πrh
= πr(r+2h)
TSA of the water container
Radius(m) Height(m) TSA(m^2) Volume(m^3) Concrete floor($) Total Cost($)
1 58 366 182 1152 5124
2 14.5 207 182 2048 4946
3 6.5 180 182 3200 5720
4 3.65 192 182 4608 7296
5 2.33 230 182 6272 9492
6 1.6 228 182 8192 11384
Justification
• Sensible height -Using 2m as the radius of the container gives us the cheapest cost. However, if we use 2m as the radius of the water container, the height is too high. (14.5m is about the height of the fifth floor of an apartment.) Thus we chose stability rather than cheap cost, and decided to use 3m as the radius.
Justification
• For the concrete floor, we added 1m margin for every side to make people easy to step on it.
• Costs are rounded up to the nearest whole number- To show the clear differences between values
Final Decision• Height- 6.5m
• Radius-3m
• Volume- about 182m^3
• Cost of cylinder- $2507
• Cost of cement floor-$3200
• Total cost- $5707
ⅱ.Food(=grain) Container
How much food do we have to supply?
• An adult- eats about 0.25kg of rice a day
• A child- Assume that a child will eat the half of the amount an adult eats a day
• A family(2 adults, 2 kids)-
Eats about 0.8kg of rice a day
• 50 families for 2 weeks- 0.8kg*50*14
= 560kg
Food container
Shape= Rectangular prism
1cm^3= 1ml= 1g
∴ 1kg= 1000cm^3
∴ 560kg= 560000cm^3
(= 0.56m^3)
TSA of the container
Length(m) Width(m) Height(m) TSA(m^2) Volume(m^3) Concrete floor($) Total cost($)
1 1 0.56 3.24 0.56 512 557
0.56 1 1 3.68 0.56 399 451
Justification
• Sensible shape -We chose rectangular prism for the shape of the container, because the pack of rice is shaped like a rectangle (with smoother edges). Since rectangular shape is easy to contain rectangular objects, the pack of rice will fit easily in the rectangular shaped container.
Justification
• Rounded up to the nearest whole number- Shows a clear change between two values.
• No floor- Water container needs a steel floor to contain water (liquid), but steel floor is not needed to contain rice (solid).
• For concrete floor, we only added 0.5m margin each for every side, since the size of the container is very small.
Final decision
• Length, height= 1m• Width= 0.56m• No floor• Volume= 0.56m^3• Cost of the prism
≒ $52• Cost of the concrete
floor ≒ $399
• Total cost $451≒
Bibliography
http://edu.me.go.kr/env2/index.html
http://www.ipco.com.sg/watter.htm
http://www.piedmontsub.com/Gville.shtml
http://www.foodmixers.com/models_vessels.asp
Top Related