Unrestrained Pipe Expansion Contraction Design Calculator

Fluid Mechanics Hydraulics Formulas Equations

Equations are for unrestrained change in pipe length due to change in temperature.

Solving for pipe length change.
flow rate equation
thermal expansion coefficients (α)
ABS pipe (Acrylonitrile Butadiene Styrene)5.5 x 10-5
Aluminum Pipe1.3 x 10-5
Ductile Iron Pipe5.8 x 10-6
HDPE Pipe (High density polyethylene)1.2 x 10-4
PVC Pipe (Polyvinyl Chloride)3.0 x 10-5
Steel Pipe6.5 x 10-6


unrestrained pipe length (LUR)
coefficient of thermal expansion (α)
temperature change in fahrenheit (ΔT)


unrestrained pipe length (LUR)
= 0
= 0
coefficient of thermal expansion (α)
= 0
= 0
temperature change in fahrenheit (ΔT)
= 0
= 0


pipe length change (ΔL)

Other Units:

Change Equation
Select to solve for a different unknown
pipe expansion and contraction
pipe length change due to temperature changeSolve for pipe length change due to temperature change.
unrestrained pipe lengthSolve for unrestrained pipe length.
coefficient of thermal expansionSolve for coefficient of thermal expansion.
temperature changeSolve for temperature change.
temperature change stress of restrained/anchored pipe
temperature change stressSolve for temperature change stress.
short term modulus of elasticitySolve for short term modulus of elasticity.
coefficient of thermal expansionSolve for coefficient of thermal expansion.
temperature changeSolve for temperature change.

References - Books:
National Resources Conservation Service. National Engineering Handbook. 1995. United States Department of Agriculture.
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