Static Water Pressure Calculator
Calculate static pressure in PSI, bar, and kPa from fluid column height using P = rho x g x h.
Covers water, oil, and mercury for plumbing and hydraulic design.
Static pressure is the pressure a stationary fluid exerts on the walls of its container, measured perpendicular to any flow. The term does double duty: in plumbing and hydraulics it means the pressure produced by a column of liquid, and in HVAC it means the pressure a fan has to overcome to push air through ductwork. The calculator below does the first one, the fluid column, for any liquid you pick.
Hydrostatic (static fluid) pressure formula: P = ρ × g × h
Where:
- P: pressure (Pascals, Pa; or psi in imperial)
- ρ (rho), fluid density (kg/m³), filled in for you when you pick a fluid below
- g: gravitational acceleration = 9.81 m/s²
- h: depth or height of fluid column above the measurement point (meters)
Density changes the answer proportionally. Everything else about the column is identical, so mercury produces 13.5 times the pressure of the same height of water, and a tank of gasoline produces about 72% of it.
| Fluid | Density (kg/m³) | Pressure per metre | Pressure per foot |
|---|---|---|---|
| Gasoline | 720 | 7.06 kPa | 0.312 psi |
| Hydraulic / motor oil | 850 | 8.34 kPa | 0.369 psi |
| Fresh water, 20°C | 998 | 9.79 kPa | 0.433 psi |
| Fresh water, 4°C | 1,000 | 9.81 kPa | 0.434 psi |
| Seawater | 1,025 | 10.06 kPa | 0.444 psi |
| Mercury | 13,546 | 132.9 kPa | 5.875 psi |
That 0.433 psi per foot of water is the number worth memorising if you work on houses. A three-storey building is about 30 feet, so the ground floor sees roughly 13 psi more than the top floor from gravity alone, which is exactly why top-floor showers disappoint.
Pressure in HVAC duct systems (total pressure equation): Total Pressure = Static Pressure + Velocity Pressure
Velocity pressure: Pv = (ρ × V²) ÷ 2
Where V = air velocity in m/s.
Unit conversions:
- 1 Pascal (Pa) = 0.000145 psi
- 1 psi = 6,895 Pa
- 1 inch of water column (inWC) = 249 Pa (commonly used in HVAC)
- 1 bar = 100,000 Pa = 14.5 psi
HVAC static pressure benchmarks:
- Residential ductwork: 0.1–0.5 inWC (25–125 Pa) static pressure drop allowed
- Commercial HVAC: up to 2.0 inWC
- High-velocity systems: up to 4.0 inWC
- Excessive static pressure causes: noise, reduced airflow, blower motor overload, shortened equipment life
Water pressure in plumbing:
- Standard residential: 40–80 psi (275–550 kPa)
- Pressure regulator valve (PRV) setpoint: usually 60 psi (414 kPa)
- Minimum for shower: 20 psi (138 kPa)
- Maximum per code (most jurisdictions): 80 psi (551 kPa)
Worked example: water column pressure: A water storage tank is elevated 12 meters above ground level. What static pressure does this create at ground level?
P = ρ × g × h = 1,000 × 9.81 × 12 = 117,720 Pa = 117.7 kPa = 17.1 psi
This means the water exits a ground-level tap at 17.1 psi from gravity alone, which is adequate for most uses (minimum useful pressure is about 15 psi). For reliable shower pressure, a tank height of at least 14–15 meters (≥ 20 psi) is recommended.
How we build and check this calculator
This calculator runs entirely in your browser, so the numbers you enter stay on your device. The math behind it is written by hand and tested against worked examples and standard references before the page goes live.
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