Method
Circular pipe-wall and fluid-content mass from supplied geometry and densities.
Equations
d = D − 2 · s
mp = π4 · ρp · ((D1000)2 − (d1000)2)
mf = π4 · ρf · (d1000)2
m = mp + mf
Mp = mp · L
Mf = mf · L
M = m · L
Symbols and units
| Symbol | Quantity | Unit |
|---|---|---|
| Inputs | ||
| D | Outside diameter | mm |
| s | Wall thickness | mm |
| ρp | Pipe material density | kg/m³ |
| ρf | Fluid density | kg/m³ |
| L | Length | m |
| Results | ||
| d | Inside diameter | mm |
| mp | Pipe mass | kg/m |
| mf | Fluid mass | kg/m |
| m | Combined mass | kg/m |
| Mp | Total pipe mass | kg |
| Mf | Total fluid mass | kg |
| M | Total combined mass | kg |
Assumptions and limits
- Densities and length are explicit inputs.
In practice
- Insulation, cladding and valves are not included; add them to the support load separately.
Worked example
The input values are the calculator's own verification test, run through the calculator. They show the working; they are not design values.
Inputs
| D | Outside diameter | 114.3 mm |
| s | Wall thickness | 6 mm |
| ρp | Pipe material density | 7,850 kg/m³ |
| ρf | Fluid density | 1,000 kg/m³ |
| L | Length | 1 m |
Results
| d | Inside diameter | 102.3 mm |
| mp | Pipe mass | 16.025 kg/m |
| mf | Fluid mass | 8.21942 kg/m |
| m | Combined mass | 24.2445 kg/m |
| Mp | Total pipe mass | 16.025 kg |
| Mf | Total fluid mass | 8.21942 kg |
| M | Total combined mass | 24.2445 kg |
A preliminary check for engineer review, not an engineering approval. The project calculation to the applicable codes, authority requirements and specification governs.