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Torispherical Head Tank Content Mass

Last modified by
on
Jul 26, 2023, 5:22:15 PM
Created by
on
Mar 13, 2020, 4:30:38 PM
`V = f( "L" , "D" , "R" , "a" )`
`(L)"Length of Central Cylinder"`
`(D)"Diameter of Central Cylinder"`
`(R)"Crown Radius"`
`(a) "Knuckle Radius"`
`(mD)"Mean Density"`
`(PF)"Percent Full"`

The Mass of Torispherical Tank Content calculator computes the mass of a /attachments/f9492673-6547-11ea-a7e4-bc764e203090/TorisphericalCylinder.png                                             Cylinder Tank /attachments/f9492673-6547-11ea-a7e4-bc764e203090/torispherical.png       Torispherical Heads (ends) cylindrical tank with torispherical heads based on the volume and the mean density of the contents.

INSTRUCTIONS:  Choose units and enter the following:

  • (L) Length of Tank
  • (D) Interior Diameter of Tank
  • (R) Interior Crown Radius
  • (a) Interior Knuckle Radius
  • (mD) Mean Density of Contents (Default of 450  kg/m3 for LNG mid range)
  • (PF) Percent Full

Mass or Weight of a Cylindrical Tank with Torispherical Head's Contents (M): The mass or weight is returned in kilograms. However, the volume can be automatically converted to compatible units (e.g. metric tons) via the pull-down menu. 

The Math / Science

The volume of the Cylindrical Tank with Torispherical Heads is computed by adding the volume of the central cylinder to the volume of the two torispherical heads.  The volume of the central cylinder is:

          M = V ⋅ mD ⋅ PF

where:


Mean Density Table

Common Mean Densities in Kilograms per Meter Cubed (kg/m3)

Fluids

  • Pure Water - 1,000  
  • Seawater - 1,022  
  • Milk - 1,037 
  • Olive Oil - 860
  • Cement Slurry - 1,442 

Fuels

  • Diesel Fuel - 885 
  • Crude Oil - 870 to 920  
  • Fuel Oil -  890  
  • Ethanol - 789  
  • Gasoline (petrol) - 737 
  • Propane - 493 
  • Liquid Natural Gas - 430 to 470 

Market-Ready Grains

 

Metals

Earthen

  • Concrete - 2,371
  • Dirt - 1,250
  • Fire Clay - 1,362
  • Glass - 2,500
  • Granite - 2,691
  • Sand (dry) - 1,602
  • Sand (wet) - 2,082
  • Sandstone - 2,323

Synthetic

  • Bakelite - 1,362
  • Carbon Fiber - 2,000

Organic

  • Balsa - 170
  • Cork - 240
  • Mahogany - 545
  • Oak - 760
  • Pine - 539
  • Rubber - 1,522
                 Mean Density Lookup Function

Mean density is scientifically volume divided by mass.  There are  various unit for density adopted by cultures and industries. Common units for density included the following:

  • kilograms per cubic meter (kg/m3)
  • grams per cubic centimeter (g/cm3)
  • grams per liter (g/L)
  • pounds per cubic feet (lb/ft3)
  • ounces per cubic inch (oz/in3)
  • pounds per barrel (lb/bbl)
  • pounds per bushel (lb/bu)

If you want to identify a material by its density, use the Density Within Range tool.


Torispheric-head or Dished End Calculators

Related Calculators:

The Mean Density of many substances (metals, mineral, chemicals, gases, woods, agricultural products, liquids and types of earths) can be looked up by CLICKING HERE.
Or you can see these formulas and other useful measurements all combined in one TRUCKING calculator.


This equation, Torispherical Head Tank Content Mass, references 1 page
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