Tank volume and dipstick chart
How much is in a sap, concentrate or syrup tank from one depth reading, how much it holds full, what that weighs, and a depth chart for the tank to print and keep by it.
01 · Inputs
Pick the shape, enter the inside measurements, then the depth of liquid. Units follow the switch.
Tank shape
Inside measurements, wall to wall. Height is the inside depth from the floor of the tank to where it is full.
Measured straight down from the surface to the bottom. Leave it blank for capacity and the chart only.
What is in it
Blank uses 2.0, the low end of the 2.0 to 2.5 °Brix sugar maple sap generally averages.
Dipstick chart
Enter the tank’s inside measurements to build its chart.
03How this is calculated
Volume is the tank’s inside measurements multiplied out, at 231 cubic inches to the US gallon. A rectangular tank fills in straight proportion to depth, and so does an upright round one (the circle’s area times the depth).
A round tank lying on its side does not. The liquid’s end face is a slice of a circle, so the first inches near the bottom hold little and the middle inches hold the most. The calculator works out that slice’s area at each depth and multiplies by the length, which is why a horizontal tank half way up the stick is half full but a quarter of the way up holds far less than a quarter. Domed or dished ends add volume the chart leaves out.
Weight is the volume times the weight of a sugar solution at that Brix, from the National Bureau of Standards table at 20 °C. Sap at 2 °Brix comes to about 8.4 pounds a gallon, the manual’s “slightly more than 8 1/3 pounds”, and a 40-gallon barrel of syrup to about 443 pounds against the manual’s 440. Hot liquid weighs a little less per gallon.
The North American Maple Syrup Producers Manual asks that tank framing be checked before a tank is filled, and again whenever its capacity or fill level goes up, since sap weighs about 8 1/3 pounds a gallon and concentrate more. The floor load here is the liquid alone spread over the tank’s footprint; it is a starting figure for that conversation, not a structural rating.
Sources
- Weights per United States Gallon and Weights per Cubic Foot of Sugar SolutionsSnyder, C.F., Hammond, L.D. (1946). National Bureau of Standards Circular C457Table 1, pp. 3–34: true specific gravity 20 °C/20 °C and pounds per US gallon in air at 20 °C, by tenth degree Brix; Table 2 for water
- Ch. 3, sugar and black maple sap sugar contentNAMSPM 3rd ed. (2022)p. 3-6
- Ch. 8, pure maple syrup definition and legal density (66.0 to 68.9 percent soluble solids; 66.9 °Brix minimum in Vermont and New Hampshire, footnote 1)NAMSPM 3rd ed. (2022)p. 8-2
- Ch. 12, a full 40-gallon barrel of syrup weighs 440 lbNAMSPM 3rd ed. (2022)p. 12-18
- Ch. 13, "Sap Storage": sap weighs about 8 1/3 lb per gallon, concentrate more; inspect tank framing before fillingNAMSPM 3rd ed. (2022)p. 13-17; same weight on pp. 6-66 and 12-17
Keep the tank on the map
In Sapline, a tank goes in the equipment register with its make, model and service history, and on the tubing plan with its capacity, so the planner can estimate how long it takes to fill at peak flow.
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