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Hollow Pipe Mass, Wall Thickness and Mass per Length
Hollow Pipe Mass, Wall Thickness and Mass per Length. Use retained unit selectors and documented geometric or area assumptions to calculate quantities and supported inverse relationships.
- Formula & worked example
- Private in your browser
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Calculator inputs
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How to use this calculator
- Enter the known values in the units shown. Results update as you type.
- Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
- Use the worked example to check the method. Reset restores the starting fields.
Private by default
Inputs and results stay in this browser tab. Bookify does not upload or store the values you enter.
Formula and method
Example in initial displayed units: Material density 3, Outer diameter 10, Wall thickness 2, Length (L) 1, Number of pipes 2 gives Inner diameter 6, Volume 5026.548, Mass of one pipe 15.07964, Total pipe mass 30.15929, Mass per length 15.07964.
inner diameter = outer diameter−2t; V = πt(D−t)L; mass = density×V; mass/length = mass ÷ L
Worked example
Enter these known values and leave the other values blank.
- Pipe material
- Custom measured material density
- Material density
- 3 g/cm³
- Outer diameter
- 10 cm
- Wall thickness
- 2 cm
- Length (L)
- 1 m
- Number of pipes
- 2 pcs
- Inner diameter
- 6 cm
- Volume
- 5027 cm³
- Mass per length
- 15.08 kg/m
- Mass of one pipe
- 15.08 kg
- Total pipe mass
- 30.16 kg
Assumptions and limitations
- The pipe is a uniform hollow circular cylinder. Wall thickness is positive and less than half the outer diameter, leaving a positive bore. Use actual dimensions rather than nominal trade size. Material density is uniform; coatings, fittings, threads, manufacturing tolerances and end details are excluded. The custom-density example uses a chosen 3 g/cm³ and does not identify a specific material.
- Use compatible units and enough independent measurements. Clear unknown quantities before solving backward; a rounded count does not uniquely determine original dimensions. Display rounding does not represent measurement uncertainty.
- Captured material density presets are approximate planning values, not grade-specific certificates. Alloy, polymer formulation and temperature affect density. The full set remains selectable; choose custom density from the actual material specification for more accurate mass.
- The captured equations use grams and centimeters internally. One gram per centimeter is 0.1 kilogram per meter, so the retained divide-by-10 mass/length equation is dimensionally correct. The thickness inverse uses the smaller physical root, corrected from the captured larger root.
- A count solved from total and per-item quantities must be a positive whole number. Rounded measurements can yield a fractional ratio; enter the actual known whole count rather than treating that ratio as a purchase or installation quantity.
Common questions
Why does the mass-per-length equation divide by ten internally?
Its reference values are grams and centimeters. Converting g/cm to kg/m multiplies by 100/1000, which is one tenth. Displayed kg/m and lb/ft use their respective unit definitions.
References
- Wolfram MathWorld: annular cross-sectional area
- Hydro: aluminium tube density context
- Outokumpu: stainless-steel density range and grade context
- NIST: unit conversion factors
- Calculation definition and unit reference
Correct the captured wall-thickness inverse to the smaller quadratic root, consistent with a positive hollow bore and wall thickness below half the outer diameter. Use exact international pound and inch definitions for the kg/m selector relative to the captured lb/in unit reference, correcting its rounded customary mass-per-length factor. Bookify uses exact customary mass and volume definitions for density units, replacing rounded factors in the reference.
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