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 (Pressure) | 0.047880259 |
| 1 (Mass per area) | 48,824.276 |
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: , 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.
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
| 478.803 | microbar (μbar) | |
| 478.803 | barye (Ba) | |
| 359.131 | millitorr (mTorr) | |
| 47.8803 | pascal (Pa) | |
| 4.88243 | millimeter of water column (mmH₂O) | |
| 1 | pound per square foot (lb/ft²)this unit | |
| 0.488243 | centimeter of water column (cmH₂O) | |
| 0.478803 | hectopascal (hPa) | |
| 0.478803 | millibar (mbar) | |
| 0.359131 | torr (Torr) | |
| 0.359131 | millimeter of mercury (mmHg) | |
| 0.192222 | inch of water column (in w.g.) | |
| 0.0478803 | kilopascal (kPa) | |
| 0.0160185 | foot of water column (ft H₂O) | |
| 0.014139 | inch of mercury (inHg) | |
| 0.00694444 | pound per square inch (psi) | |
| 0.00488243 | meter of water column (m H₂O) | |
| 0.00478803 | decibar (dbar) | |
| 0.000488243 | kilogram-force per square centimeter (kgf/cm²) | |
| 0.000478803 | bar (bar) | |
| 0.000472541 | atmosphere (atm) | |
| 0.0000478803 | megapascal (MPa) | |
| 0.00000694444 | kip per square inch (ksi) | |
| 4.78803e-08 | gigapascal (GPa) | |
| 6.94444e-09 | million pounds per square inch (Mpsi) |
One pound per square foot in every mass per area unit
| 48,824.3 | kilogram per hectare (kg/ha) | |
| 48.8243 | tonne per hectare (t/ha) | |
| 4.88243 | kilogram per square meter (kg/m²) | |
| 4,882.43 | gram per square meter (g/m²) | |
| 43,560 | pound per acre (lb/ac) | |
| 21.78 | short ton per acre (ton/ac) | |
| 1,000 | pound per thousand square feet (lb/1000 ft²) | |
| 144 | ounce per square yard (oz/yd²) | |
| 1 | pound per square foot (lb/ft²)this unit | |
| 435.6 | hundredweight per acre (cwt/ac) |