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Free Tool

Friction Loss Calculator

Calculate friction loss, pump discharge pressure, and total system pressure for any hose layout. Free, mobile-friendly, no sign-up.

Each story = 5 PSI. Negative = below grade. High-rise? Type any number.

How Friction Loss Works

When water moves through fire hose, it creates friction against the inside wall of the hose. That friction costs you pressure. The longer the hose lay and the more water you push through it, the more pressure you lose before it reaches the nozzle.

As a pump operator, your job is to overcome that friction loss so the nozzle gets the pressure it needs to produce an effective fire stream. Pump too little and your crew gets a weak stream that won't knock the fire. Pump too much and you risk blowing the hose or injuring the nozzle operator.

The standard formula used across the fire service is:

FL = C × (Q ÷ 100)² × (L ÷ 100)

FL = Friction Loss (PSI)
C = Hose Coefficient
Q = Flow Rate (GPM)
L = Hose Length (feet)

The coefficient (C) changes based on hose diameter. Smaller hose creates more friction. A 1¾" attack line has a coefficient of 15.5, while a 2½" supply line is only 2. That's why flowing 200 GPM through a 1¾" line costs way more pressure than flowing it through a 2½".

Friction Loss Coefficients

Hose SizeCoefficient (C)
1"150
1½"24
1¾"15.5
2"8
2½"2
3" (2½" couplings)0.8
3" (3" couplings)0.677
3½"0.34
4"0.2
5"0.08

Pump Discharge Pressure

Once you know your friction loss, you can calculate the total pump discharge pressure (PDP) your engineer needs to set:

PDP = NP + FL + EP

NP = Nozzle Pressure
FL = Friction Loss
EP = Elevation

Standard nozzle pressure for a combination (fog) nozzle is 100 PSI. Smooth bore nozzles use 50 PSI for handlines and 80 PSI for master streams.

Elevation adds (or subtracts) 5 PSI per story. Operating on the 3rd floor? Add 10 PSI. Operating in the basement? Subtract 5 PSI. On level ground it's zero.

Common Questions

What is the friction loss formula for fire hose?
FL = C × (Q/100)² × (L/100). C is the hose coefficient (based on diameter), Q is flow rate in GPM, and L is hose length in feet. This gives you friction loss in PSI.
What nozzle pressure should I use?
Combination (fog) nozzles: 100 PSI. Smooth bore handlines: 50 PSI. Smooth bore master streams: 80 PSI. Always check your department's SOGs. Some departments run different pressures.
How do I calculate elevation pressure?
Add 5 PSI for each story above ground level. Subtract 5 PSI for each story below. If you're flowing to the 3rd floor from the street, that's +10 PSI (2 floors up from ground). Basement operations subtract 5 PSI.
Why does hose diameter matter so much?
Friction loss increases dramatically as hose diameter decreases. Flowing 150 GPM through 200' of 1¾" hose costs about 72 PSI in friction loss. The same flow through 2½" hose only costs about 9 PSI. That's why big water operations use large diameter hose.

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