Threw this together, just to see if its feasible:
![Image]()
Here's the prototype: http://www.rrpicturearchives.net/showPicture.aspx?id=3572397
I can get the extreme dimensions from shipcsx.com. I have been fiddling with getting the tank dimensions to match the shape, and the capacity the prototype is stenciled for.
I know the capacity is 17,595 gallons.
I'm assuming the outside radius of the tank is 60", just because the proportions seem OK to the eye, and 10' OD is a nice, round number. I'm also assuming there is 4" of insulation, a 1/2" steel inner cylinder, and a 1/4" steel outer jacket. All that would give me a 53 1/4" inner radius.
If I'm doing the math right, the volume would be the volume of a cylinder, plus the volume of an oblate ellipsoid (see http://www.web-formulas.com/Math_Formulas/Geometry_Volume_of_Ellipsoid.aspx) where c=1/3 of the radius - which means I drew a half sphere of 60" outside radius, and shrunk it in one direction by 1/3.
That would be: Total volume = (4/3)*PI*a*b*c + PI*r*r*l
Where a=b=r and c = r/3.
If I'm plugging in the numbers right, I'm getting this:
(4,064,445.23192 - ((4 / 3) * p * 53.25 * 53.25 * (53.25 / 3))) / (p * 53.25 * 53.25) = 432.6
4,064,445.23192 cu in = 17,595 gallons. That's telling me the main cylinder should be 432.6". The drawing looks OK based on those numbers. That's also giving me a 72 inch width for the outer jacket segments. Is there anything else I'm missing here?
Here's the prototype: http://www.rrpicturearchives.net/showPicture.aspx?id=3572397
I can get the extreme dimensions from shipcsx.com. I have been fiddling with getting the tank dimensions to match the shape, and the capacity the prototype is stenciled for.
I know the capacity is 17,595 gallons.
I'm assuming the outside radius of the tank is 60", just because the proportions seem OK to the eye, and 10' OD is a nice, round number. I'm also assuming there is 4" of insulation, a 1/2" steel inner cylinder, and a 1/4" steel outer jacket. All that would give me a 53 1/4" inner radius.
If I'm doing the math right, the volume would be the volume of a cylinder, plus the volume of an oblate ellipsoid (see http://www.web-formulas.com/Math_Formulas/Geometry_Volume_of_Ellipsoid.aspx) where c=1/3 of the radius - which means I drew a half sphere of 60" outside radius, and shrunk it in one direction by 1/3.
That would be: Total volume = (4/3)*PI*a*b*c + PI*r*r*l
Where a=b=r and c = r/3.
If I'm plugging in the numbers right, I'm getting this:
(4,064,445.23192 - ((4 / 3) * p * 53.25 * 53.25 * (53.25 / 3))) / (p * 53.25 * 53.25) = 432.6
4,064,445.23192 cu in = 17,595 gallons. That's telling me the main cylinder should be 432.6". The drawing looks OK based on those numbers. That's also giving me a 72 inch width for the outer jacket segments. Is there anything else I'm missing here?
