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Pipe Thermal Expansion

Linear expansion coefficients for common pipe materials, with the growth of a 10 m run worked out for typical temperature changes — and the axial stress that develops if the pipe cannot move. Design values on the 20–100 °C engineering basis; the stated ranges cover the spread across published sources.

Expansion coefficients and growth per 10 m
Materialα (10⁻⁶/K)Range (10⁻⁶/K)ΔT 30 K (mm/10 m)ΔT 50 K (mm/10 m)ΔT 100 K (mm/10 m)Restrained σ (elastic), ΔT 50 K (MPa)
Carbon steel1211.312.83.66.012.0120
Stainless steel (304/316)16.515.917.34.98.216.5161
Ductile iron1110.411.83.35.511.094
Copper16.816.417.35.08.416.898
Aluminium23.522.5247.011.823.581
PVC-U70508021.035.070.0creep
CPVC65607019.532.565.0creep
ABS1009011030.050.0100.0creep
PP-R15012018045.075.0150.0creep
PE (HDPE / PE100)18015020054.090.0180.0creep

α is a mean linear-expansion design value on the 20–100 °C basis; growth scales linearly with length (mm/10 m × run length ÷ 10). The restrained-stress column uses σ = E·α·ΔT with typical Young's moduli — plastics are omitted because they creep rather than hold elastic stress. For plastics, confirm α against the pipe manufacturer's datasheet; grades vary.

Definitions & Key Relations

An unrestrained pipe run changes length in proportion to its length and temperature change:

ΔL=αLΔT\Delta L = \alpha\,L\,\Delta T
  • ΔL\Delta L — length change (m; multiply by 1,000 for mm)
  • α\alpha — linear expansion coefficient (1/K; the table lists 10⁻⁶/K)
  • LL — run length between anchor points (m)
  • ΔT\Delta T — temperature change from the installation temperature (K)

If the pipe is fully restrained, the growth is converted into axial stress instead — independent of length and diameter:

σ=EαΔT\sigma = E\,\alpha\,\Delta T
  • σ\sigma — axial stress (Pa), EE — Young's modulus (Pa)

For carbon steel that is about 2.4 MPa per kelvin — a fully restrained line heated by 100 K reaches ~240 MPa (elastic basis, assuming no yielding), which approaches or exceeds the yield strength of common pipe-steel grades. It is why piping codes require flexibility analysis for lines with significant temperature change, and why hot piping is designed to flex (loops, offsets, bellows) between deliberate anchor points rather than being clamped rigid, and why the anchor forces on a line that is held straight are so large.

Data source and basis
  • Metal coefficients are mean linear-expansion values on the 20–100 °C engineering basis, consistent with the ASME B31.3 Appendix C / EN 13480-3 class data used for flexibility analysis (α rises slowly with temperature; code tables give the exact mean value to your design temperature for formal stress work).
  • Plastic coefficients are typical manufacturer values (PVC-U, CPVC, ABS, PP-R, PE pressure-pipe grades); the spread between suppliers and grades is real, which is why each row carries a range — use the datasheet value for the pipe actually being installed.
  • Every design value sits inside its stated range, and the ranges bracket the classic handbook figures (CRC, Perry's, supplier data) — enforced by an automated check in the repository, alongside the ΔL and σ arithmetic anchors quoted on this page.
  • Young's moduli for the restrained-stress column are typical room-temperature values (steel 200, stainless 195, ductile iron 170, copper 117, aluminium 69 GPa).
  • Pipe dimensions and weights for the same materials are in the pipe schedule tables and pipe weight chart.

Frequently Asked Questions

How much does steel pipe expand with temperature?
About 1.2 mm per metre per 100 K — equivalently 0.6 mm per 10 m for every 5 K. A 50 m carbon-steel steam header heated from 20 °C to 180 °C (ΔT = 160 K) grows by roughly 96 mm, which is why long hot lines need expansion loops or bellows. Stainless steel expands about 40% more than carbon steel for the same temperature change; the table above gives per-material figures.
Why do plastic pipes expand so much more than metal?
Weaker intermolecular bonds: PVC expands about 6 times more than carbon steel per kelvin, and PE (HDPE) about 15 times more. A 10 m HDPE run warmed 50 K grows by 90 mm — nearly a hand's width. This is why plastic pipe systems rely on snaking between supports, expansion sockets, or frequent flexible offsets, and why manufacturer installation guides treat expansion as a first-order design input rather than a detail.
What happens if a pipe cannot expand?
It develops axial stress of σ = E·α·ΔT regardless of length or diameter. For carbon steel that is about 2.4 MPa per kelvin — so a fully restrained line heated by 100 K carries roughly 240 MPa, which is at the yield strength of common pipe steel. In practice the pipe buckles, bows between supports, tears its anchors out, or overloads connected equipment nozzles. Expansion has to go somewhere: either the layout absorbs it flexibly or the anchors must resist very large forces.
How is pipe thermal expansion accommodated?
Four standard strategies: natural flexibility (routing with direction changes so legs bend), expansion loops (a deliberate U-shape sized for the growth), expansion joints (bellows or slip types where space is tight — these need guiding and anchoring per EJMA), and for plastics, snaking or expansion sockets. Anchors fix the points from which growth is directed, and guides keep the pipe from buckling sideways. Formal flexibility analysis is covered by codes like ASME B31.3 and EN 13480-3.
What temperature difference should I design for?
From the installation (tie-in) temperature to the extremes the line will see — both the maximum operating or design temperature and the minimum (a summer-installed line can see large contraction in winter, which pulls on joints instead of pushing). For outdoor lines include solar gain on empty pipe; for steam, use the saturation temperature at design pressure rather than normal operating temperature. Contraction is calculated with the same coefficient in reverse.
Does thermal expansion affect the hydraulic calculation?
Barely — a length change of a fraction of a percent is invisible in pressure-drop terms. Its real hydraulic relevance is indirect: what temperature does to the fluid matters far more (viscosity, density, vapour pressure — see the water and air property tables), and expansion governs the mechanical layout the hydraulic design must live within. SimuPipe simulations use the fluid temperature for properties; expansion and support design remain a piping-flexibility task alongside.

Temperature matters to the fluid too

SimuPipe evaluates density, viscosity and vapour pressure at your set fluid temperature across the whole network — the hydraulic side of the same design question.