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Pipes and Tubes - Temperature Expansion

Pipes expands when heated and contracts when cooled and the expansion can be expressed with the expansion equation.

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The temperature expansion of pipes depends on start and final temperature of the pipe, and the expansion coefficient of the piping material at the actual temperature. The expansion formula can be expressed as:

dl = α Lo dt                            (1)

where

dl = expansion (m, inches)

Lo = length of pipe (m, inches)

dt = temperature difference (oC, oF)

α = linear expansion coefficient (m/moK, in/inoF)

Note that the mean expansion coefficient may vary with temperature:

Pipes and Tubes - Temperature Expansion
MaterialMean Expansion Coefficient  10-6 (in/in oF,  )
Temperature Range (oF)
- 3232 - 21232 - 40032 - 60032 - 75032 - 90032 - 110032 - 1300
Alloy Steel
(1% Cr. 1/2% Mo)
7.7 8.0 8.4 8.8 9.2 9.6 9.8
Mild Steel
(0.1 - 0.2% C)
7.1 7.8 8.3 8.7 9.0 9.5 9.7
Stainless Steel
(18% Cr. 8% Ni)
10.8 11.1 11.5 11.8 12.1 12.4 12.6 12.8

Formula (1) can also be used with SI units. The expansion coefficient must be adjusted to oC.

Example - Thermal Expansion of an Alloy Steel Pipe

An alloy steel pipe with length 100 feet is heated from 32 to 212oF. The expansion coefficient is 8 10-6 (in/inoF).

The expansion of the pipe can be calculated as:

dl = (8 10-6 in/inoF) (100 ft) (12 in/ft) ((212 oF) - (32 oF))

    = 1.728 inches

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