# Calculate Pipe Weight

## Weight calculating formula for steel pipes

### Weight of Empty Pipe

Weight of empty pipe per unit length can be calculated as

w_{p}=ρ_{m}A_{m}

=ρ_{m}π(d- d_{o}^{2 }_{i}^{2}) / 4

(1)=(/ 4)πρ_{m}(d- d_{o}^{2 }_{i}^{2})

where

w_{p}=weightof empty pipe per unit length (kg/m, lb/in)

= density of pipe material (kg/mρ_{m}^{3}, lb/in^{3})

A_{m}= cross-sectional wall area of pipe (m^{2}, in^{2})

d_{o}= outside diameter (m, in)

d_{i}=dinside diameter (m, in)_{o}- 2 t =

t = wall thickness (m, in)

### Weight of Liquid in Pipe

Weight of liquid in pipes per unit length can be calculated as

w_{l}=ρ_{l}A_{i}

=ρ_{l}π (d_{i}/ 2)^{2}

= (π/ 4)ρ_{l}(2)d_{i}^{2}

where

w_{l}= weight of liquid in pipe per unit length of pipe (kg, lb)

A_{i}= cross-sectional inside area of pipe (m^{2}, in^{2})

= density of liquid (kg/mρ_{l}^{3}, lb/in^{3})

### Weight of Pipe with Liquid

Weight of pipe with liquid can be calculated as

*w = w _{p} + w_{i} *

* = ρ _{m} A_{m} + ρ_{l} A_{i} *

* = (ρ _{m} π (d_{o}^{2 } - d_{i}^{2}) / 4) + (ρ_{l} π d_{i}^{2} / 4)*

* = (π / 4) [ρ _{m} (d_{o}^{2 } - d_{i}^{2}) + ρ_{l} d_{i}^{2}] (3) *

#### Weight of Pipe Calculator

This calculator can be used to calculate the weight of a pipe with - or without - liquid. The calculator is generic and can be used for both SI and Imperial units as long as the use of units are consistent.

*d _{o} - outside diameter (m, in)*

*d _{i} - inside diameter (m, in)*

* ρ _{m} - density of piping material (kg/m^{3}, lb/in^{3})*

* ρ _{l} - density of liquid (kg/m^{3,} lb/in^{3}) (zero for empty pipe)*

*1 m = 10*^{3}mm*1 m*^{2}= 10^{6}mm^{2}*1 in = 1/12 ft**1 in*^{2}= 1/144 ft^{2}*1 lb/in*^{3}= 1728 lb/ft^{2}

### Example - Weight of 4" Schedule 40 Steel Pipe with Water - SI Units (default values in the calculator above)

The outside diameter of 4" Schedule 40 Steel Pipe is *114.3 mm.* The inside diameter is *102.3 mm*. The density of steel is 7*850 kg/m ^{3}*. The density of water is

*1000 kg/m*.

^{3}The weight of empty pipe per unit length can be calculatet with (1) as:

*w _{p} = (π / 4) (7850 kg/m^{3}) ((0.1143 m)^{2 } - (0.1023 m)^{2})*

* = 16 kg/m *

The weight of the liquid in the pipe per unit length can be calculatet with (2) as:

*w _{l} = (π / 4) (1000 kg/m^{3}) (0.1023 m)^{2}*

* = 8.2 kg/m *

The weight of pipe filled with water per unit length can be calculated with (3) as

w=(π / 4) [(7850 kg/m)((0.1143 m)^{3}^{2 }- (0.1023 m)^{2}) + (1000 kg/m) (^{3})0.1023 m^{2}]

= 24.2 kg/m

### Example - Weight of 4" Schedule 40 Steel Pipe

The outside diameter of 4" Schedule 40 Steel Pipe is *4.500 inches.* The wall thickness is *0.237 inches* and the inside diameter is *4.026 in*. The density of steel is *490 lb/ft ^{3} (0.28 lb/in^{3})*. The weight of empty pipe per unit length can be calculated as

w=(0.28(/ 4)π) (lb/in^{3}(4.500 in)-^{2}(4.026 in))^{2}

= 0.89 lb/in

= 10.7 lb/ft

### Typical Weight of Schedule 40 Steel Pipe with/without Water

Nominal Pipe Size | Weight of Pipe | Weight of Pipe filled with Water | |||
---|---|---|---|---|---|

(in) | (mm) | (lbs/ft) | (kg/m) | (lbs/ft) | (kg/m) |

3/8 | 10 | 0.6 | 0.9 | 0.7 | 1.0 |

1/2 | 15 | 0.8 | 1.2 | 0.9 | 1.2 |

3/4 | 20 | 1.1 | 1.7 | 1.3 | 2.0 |

1 | 25 | 1.7 | 2.5 | 2.1 | 3.0 |

1 1/4 | 32 | 2.3 | 3.4 | 2.9 | 4.3 |

1 1/2 | 40 | 2.7 | 4.0 | 3.6 | 5.3 |

2 | 50 | 3.6 | 5.4 | 5.0 | 7.5 |

2 1/2 | 65 | 5.8 | 8.6 | 7.9 | 11.7 |

3 | 80 | 7.6 | 11.2 | 10.8 | 15.9 |

3 1/2 | 90 | 9.1 | 13.5 | 13.4 | 19.8 |

4 | 100 | 10.8 | 16.0 | 16.3 | 24.2 |

5 | 125 | 14.6 | 21.7 | 23.2 | 34.6 |

6 | 150 | 19.0 | 28.2 | 31.5 | 46.8 |

8 | 200 | 28.5 | 42.5 | 50.1 | 74.6 |

10 | 250 | 40.5 | 60.2 | 74.6 | 111 |

12 | 300 | 51.1 | 75.9 | 102 | 152 |

14 | 350 | 63.0 | 93.7 | 122 | 181 |

16 | 400 | 83.0 | 124 | 160 | 237 |

18 | 450 | 105 | 156 | 202 | 301 |

20 | 500 | 123 | 183 | 243 | 362 |

24 | 600 | 171 | 255 | 345 | 514 |

### Weight of Insulation on Pipe

Weight of stone wool insulation mat on pipe.

Nominal Diameter | Outside Diameter(mm) | Weight of Insulation (kg/m pipe) | ||||||||
---|---|---|---|---|---|---|---|---|---|---|

Insulation Thichness (mm) | ||||||||||

(mm) | (in) | 30 | 40 | 50 | 60 | 80 | 100 | 120 | 140 | |

15 | ½ | 21.3 | 4 | 5 | 6 | 8 | 11 | 15 | 19 | 24 |

25 | 1 | 33.7 | 4 | 5 | 7 | 8 | 12 | 15 | 20 | 25 |

50 | 2 | 60.3 | 5 | 7 | 8 | 10 | 13 | 17 | 22 | 27 |

65 | 2½ | 76.1 | 6 | 7 | 9 | 10 | 14 | 18 | 23 | 28 |

80 | 3 | 88.9 | 7 | 8 | 10 | 11 | 15 | 19 | 24 | 29 |

100 | 4 | 114.3 | 8 | 9 | 11 | 12 | 16 | 21 | 26 | 31 |

200 | 8 | 219.1 | 12 | 14 | 16 | 18 | 23 | 28 | 33 | 39 |

300 | 12 | 323.9 | 17 | 19 | 21 | 24 | 29 | 35 | 41 | 47 |

500 | 20 | 508.0 | 25 | 28 | 31 | 34 | 40 | 47 | 54 | 62 |

700 | 28 | 711.0 | 34 | 37 | 41 | 44 | 52 | 60 | 69 | 78 |

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