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Equivalent Length Copper Pipe Fittings

Reference data and engineering information about equivalent length copper pipe fittings for material properties applications.

equivalentlengthcopperpipe

Overview

Engineering reference data for Equivalent Length Copper Pipe Fittings in material science and properties.

Key Formulas

Stress

σ=FA\sigma = \frac{F}{A}

Force per unit area.

Strain

ε=ΔLL0\varepsilon = \frac{\Delta L}{L_0}

Change in length per original length.

Hooke's Law

σ=Eε\sigma = E \varepsilon

Stress proportional to strain in elastic region.

Thermal Expansion

ΔL=αL0ΔT\Delta L = \alpha L_0 \Delta T

Length change due to temperature.

Variables

SymbolDescriptionUnit
σ\sigmaStressPa
ε\varepsilonStrain
EEYoung's modulusPa
α\alphaThermal expansion coefficient1/°C
ΔT\Delta TTemperature change°C

Equivalent Pipe Length Method

This method simplifies pressure loss calculations in a piping system by converting the pressure drop caused by fittings and valves into an equivalent length of straight pipe. The total pressure loss for the system can then be calculated using the friction loss for that total length.

Core Formula

The total equivalent length (LeqL_{eq}) for a piping system is calculated as:

Leq=Lactual+(Lfitting)L_{eq} = L_{actual} + \sum (L_{fitting})

Where:

  • LactualL_{actual} is the measured length of the straight pipe in the system.
  • (Lfitting)\sum (L_{fitting}) is the sum of the equivalent lengths for all fittings and valves in the system, taken from the reference table below.

Definitions & Notes

  • Equivalent Length: The length of straight pipe that would cause the same pressure loss as a specific fitting or valve.
  • Nominal Size: The standardized inside diameter designation for pipes and fittings, given in inches. This size is used to select the correct equivalent length from the table.
  • Conversions: The table uses common imperial units.
    • 1 inch (in) = 25.4 millimeters (mm)
    • 1 foot (ft) = 0.3048 meters (m)

Fitting Equivalent Lengths (Copper Tube)

The table below provides the equivalent straight pipe length in feet for common copper tube fittings and valves based on the nominal pipe size.

8 rows
Equivalent straight pipe length (in feet) for copper tube fittings and valves.
Nominal Size(in)
90° Elbow(ft)
45° Elbow(ft)
Line 90° Tee(ft)
Branch 90° Tee(ft)
Ball Valve(ft)
Gate Valve(ft)
Butterfly Valve(ft)
Check Valve(ft)
3/80.51.51.5
1/210.522
5/81.50.522.5
3/420.533
12.514.50.54.5
1 1/4315.50.50.55.5
1 1/241.570.50.56.5
25.5290.50.50.57.59

Source: engineeringtoolbox.com

Interactive Charts

ASTM B306 Copper Tubes for Drain, Waste and Vent - Dimensions and Working Pressures

References