Yurt Details:
Calculator
Diamater: 16Ft
Wall Height: 5Ft
Center Height: 7.81ft
Wheel Diamater: 4ft
Roof Angle: 25°
Rafters: 32
Wall Material: Sunbrella 10oz Duck Canvas
Roof Material: Sunbrella 10oz Duck Canvas
Floor Material: TBD – Thinking drop cloth
| General: | |
| total circumference c = 50.26ft | |
| floor area Afloor = 201ft2 | |
| total volume Vtotal = 110.79ft3 | |
| Wall / Khana: | |
| spacing of roof poles & khana w = 1.57ft, | |
| length of khana lath lkhana = 7.07ft, | |
| spacing between holes wkhana-holes = 1.11ft, | |
| total 7 holes (extra 0.39ft left), | with αkhana = 90° angle |
| total of apprx. nlaths = 79 khana laths required, | |
| gives nkhana-sections = 2 khana-sections, | when lkhana section = 25ft |
| Roof Poles / Uni: | |
| Roof pole length lpole = 6.62ft, (add additional length for entering the crown-wheel / toono 3-4cm and the other end with cord 2-3cm, total e.g. 6cm) |
|
| angle between each pole αpoles = 11.25°, | |
| space between poles at the roof/crown wheel wwheel = .39ft |
Roof Canvas
In order to calculate the angle αcutoff I simply calculate both circumferences, based on droof and d, and then substract the later from the first, this is the length which is left and needs to be cut away:
αcutoff = (droof * π – d * π) * 360 / (droof * π)
wcutoff = sin(αcutoff/2) * lroof * 2
Therefore
| lroof = 8.83ft, |
| droof = 17.65ft, |
| αcutoff = 33.72 °, |
| wcutoff = 5.12ft |
Aroof = 74.61ft2 e.g. square canvas of 17.65 x 17.65 ft, apprx. 20.37ft2 left over.
Lanewise
Use multiple lanes (common way to get canvas) as indicated to compose the shape:
nroof lanes = droof / wlane (and round up)
ltot lanes = droof * nroof lanes
You can calculate more exact (approximate the circle without tilt cutoff αcutoff):
wlane 5ft, wroofextra 1ft,
4 lanes of 20ft x 5 ft
Total length as one lane: ~80ft
Wall Canvas
This is rather simple, it’s rectangular, and c (circumference) times h of the lattice wall / khana. With your numbers, the wall canvas is 50.26 ft X 5ft.
Best you choose wlane the same as h, then you can use one lane for the entire wall canvas; otherwise you require to sew lot’s of vertical lanes together to achieve h, with your wlane you do 1 lane for the entire wall canvas.
You may substract the door width (discussed later in more detail), but I recommend you plan with extra length, it’s easier to cut than add more canvas later. I used 10m long sections, attached short cords in order to bind it to the main rope, you can also bind to the roof-poles.
Total Canvas
Total canvas of apprx. 130ft or 43.3 yds