lb/ft2\text{lb/ft}^{2}

pound per square foot

PressureMass per areaexact by definition

One pound-force spread over one square foot, equal to 47.880259 Pa exactly. It is the unit for pressures that act over a large surface rather than inside a pipe: wing loading, snow load on a roof, floor live load, and wind pressure on a wall.

Watch out: A factor of 144 separates lb/ft² from lb/in². A wing loading of 14.4 lb/ft² is 0.1 psi, and reading one as the other is a hundred-fold error in either direction. If a pressure figure seems absurd by two orders of magnitude, this is almost always why.

1 lb/ft2\text{lb/ft}^{2} (Pressure)0.047880259 kPa\text{kPa}
1 lb/ft2\text{lb/ft}^{2} (Mass per area)48,824.276 kg/ha\text{kg/ha}
Where the unit came from

It is simply the pound-force over the square foot, and it survives because structural and aeronautical practice both work in feet while plumbing and hydraulics work in inches. The same imperial system therefore carries two pressure units differing by a factor of 144, and which one is meant is decided entirely by context.

About the pound per square foot

Pounds per square foot is the pressure unit of surfaces. An aircraft's wing loading, the snow a roof must carry, the live load a floor is rated for and the wind pressure on a wall are all quoted this way, because the areas involved are measured in feet and the resulting numbers stay conveniently sized.

The conversion is exact: 1 lb/ft2=47.880259 Pa1\ \mathrm{lb/ft^2} = 47.880259\ \mathrm{Pa}, which follows from the pound-force and the foot without approximation. Going the other way, a kilopascal is about 20.9 lb/ft².

The trap is the neighbouring unit. Pounds per square inch is 144 times larger, and both are casually called "pounds". A light aircraft at 14.4 lb/ft² is at 0.1 psi — the same pressure, written two ways, and confusing them moves a number by two orders of magnitude. Structural and aeronautical work almost always means per square foot; hydraulic and pneumatic work almost always means per square inch.

Wing loading is the clearest illustration of why the unit earns its place. It sets stall speed, which scales as the square root of wing loading, so a wing loaded four times as heavily stalls at twice the speed. Quoted in psi the numbers become uselessly small decimals; quoted per square foot they stay in the range a pilot recognises at a glance.

As a unit of mass per area

One pound of mass spread over one square foot, equal to 4.8824 kg/m². It is the surface density a building assembly is weighed in: the dead load a floor carries, the weight of a roofing material, and — the reason it matters acoustically — the mass per unit area that sets how much sound a partition stops.

One pound per square foot in every pressure unit

478.803microbar (μbar)
478.803barye (Ba)
359.131millitorr (mTorr)
47.8803pascal (Pa)
4.88243millimeter of water column (mmH₂O)
1pound per square foot (lb/ft²)this unit
0.488243centimeter of water column (cmH₂O)
0.478803hectopascal (hPa)
0.478803millibar (mbar)
0.359131torr (Torr)
0.359131millimeter of mercury (mmHg)
0.192222inch of water column (in w.g.)
0.0478803kilopascal (kPa)
0.0160185foot of water column (ft H₂O)
0.014139inch of mercury (inHg)
0.00694444pound per square inch (psi)
0.00488243meter of water column (m H₂O)
0.00478803decibar (dbar)
0.000488243kilogram-force per square centimeter (kgf/cm²)
0.000478803bar (bar)
0.000472541atmosphere (atm)
0.0000478803megapascal (MPa)
0.00000694444kip per square inch (ksi)
4.78803e-08gigapascal (GPa)
6.94444e-09million pounds per square inch (Mpsi)

One pound per square foot in every mass per area unit

48,824.3kilogram per hectare (kg/ha)
48.8243tonne per hectare (t/ha)
4.88243kilogram per square meter (kg/m²)
4,882.43gram per square meter (g/m²)
43,560pound per acre (lb/ac)
21.78short ton per acre (ton/ac)
1,000pound per thousand square feet (lb/1000 ft²)
144ounce per square yard (oz/yd²)
1pound per square foot (lb/ft²)this unit
435.6hundredweight per acre (cwt/ac)