Jeong Eun Park Cara Leong Storage Facilities CJ Developments Jin Ho Lee Dang Wan Kim Jeong Eun Park Cara Leong Caroline Poot

Our Process Research Consolidation Answers

How many people in a family? 2.61 children born/woman (CIA World Factbook) Round down to 2 children Add 2 parents Equals 4 people in a family!

How did we get our numbers? Base area: π × r2 Height: Volume needed (m3) ÷ base area Cost of metal: $ (14 × base area × height) Volume of concrete: (radius + 0.3m)2 × 0.2m Cost of concrete: $ (640 × volume of concrete) Total cost: $ (Cost of metal + cost of concrete)

Water

Starting Questions How much water does each person use? What do we use water for? What is the best shape to store water in?

Answering Questions What do we use water for? Drinking Bathing Washing (dishes, laundry) Toilets Cooking

Answering Questions How much water does an average person use? Internet research http://www.newsobserver.com/weather/drought/story/1016009.html 69.3 gallons per person for indoor purposes laundry, shower, toilets, cooking, drinking Convert into litres 1 gallon = 3.78541178 litres  69.3 gallons ≈ 263 litres Leeway: 263 ± 2 litres

Answering Questions What 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 Area Surface area of an open cylinder is calculated by: (2πr × h) + (π × r2) When r = radius of the cylinder’s base circle h = the height of the cylinder r h

How to calculate volume The volume of a cylinder that has a radius of r: π × r2 × h Since a cylinder is a prism, the volume = base area × height r h

Calculation Total amount of water needed for entire village: 265L × 4 people × 50 families × 14 days = 742 000L Volume of storage tank: 742 000L of water = 742 m3 This estimation has more water capacity than is necessary because there is an extra 2 litres for every person

Best Choice for Water Tank Radius (m) Base Area (m2) Height (m) SA (m2) TSA (m2) Cost of Metal ($) Cost of Concrete ($) Total Cost ($) 1 3 236 1484 1487 20820 680 21500 2 13 59 742 755 10564 2127 12691 28 26 495 523 7321 4379 11700 4 50 15 371 421 5898 7435 13333 5 79 9 297 375 5255 11296 16550 6 113 7 247 360 5046 15960 21006 154 212 366 5123 21429 26552 8 201 186 387 5412 27702 33114 254 165 419 5871 34780 40651 10 314 148 463 6476 42661 49137

Justification With a radius of 3m, the height of the cylinder would have to be 28m to be able to accommodate 742 000L of water With a radius of 4m, the stability of the structure is increased and the height of the water tank is lowered to 15m

Justification Viability vs. Cost Amount of water used: Is it really that good to have a 26m structure? Is it possible to have a 26m structure that will hold its weight? Amount of water used: Leeway for water use of people in case they need more water Level of Accuracy (nearest whole number): Easier to see the difference between figures

Our Storage Tank Has a capacity of 742 000L Is in the shape of a cylinder Dimensions: Radius: 4 metres Height: 15 metres

Grain

Starting Questions What 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 Questions What kind of grain are we storing? Grain can be used to make many types of food Rice, corn, oats, rye Bread for our purposes, we’ll pretend that we’re storing rice

Answering Questions How 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 Questions What kind of shape is best for storing the grain? Real life examples Cylinder has the largest area for a fixed perimeter Cylinders are also used for silos

Examples of Grain Storage http://www.mawaterquality.org/gallery/photos/hog%20grain%20storage.jpg http://www.dengie-crops.com/media/silos%20and%20lorry.JPG

Calculation Shed has to have a volume of 0.84m3 100cm3 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 Storage Radius Base Area Height Circumference SA of Height TSA Cost of Metal Concrete Concrete Cost Total Cost 0.1 0.03 31.8 0.6 20.0 280.4 64.3 345 0.2 8.0 1.3 10.0 10.1 141.8 100.5 242 0.3 3.5 1.9 6.7 6.9 97.3 144.8 0.4 0.5 2.0 2.5 5.0 5.5 77.0 197.0 274 0.8 3.1 4.0 4.8 67.0 257.4 324 1.1 0.9 3.8 3.3 4.5 62.5 325.7 388 0.7 1.5 4.4 2.9 61.6 402.1 464 63.1 486.6 550 5.7 2.2 66.7 579.1 646 1.0 6.3 5.1 72.0 679.6 752

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.

Justification Having 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 Silo Is cylindrical Has a capacity of 1m3 Dimensions:3 Cost: Of metal sheet: 97.3 Of concrete: 144.8