Wind Velocity Pressure (qz = 0.613 Kz Kzt Kd V²)
Also known as velocity pressure · ASCE 7 wind pressure · qz wind · design wind pressure · wind load equation · exposure coefficient wind · 0.613 wind formula
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The velocity pressure equation is Bernoulli with the trade's constants folded in. Stagnation pressure is , and with the standard air density of 1.226 kg/m³ that half-rho becomes 0.613 — so with V in metres per second the answer lands in pascals. The exposure coefficient accounts for terrain roughness and height, for hills and escarpments that speed the wind up, and for the low odds that the worst wind direction coincides with the building's weakest axis. A 45 m/s basic wind (about 100 mph) on flat open ground with and gives Pa, roughly 22 psf.
This page carries the general SI form of the ASCE 7 equation so the arithmetic can be checked and rearranged. It is not a substitute for the standard: comes from a table indexed by exposure category and height, from a topographic procedure with three separate multipliers, the basic wind speed from hazard maps tied to risk category and return period, and the imperial version of this same equation reads with V in mph and in psf. Use the adopted edition of the code for all of them.
The square on velocity is the fact worth carrying around: a 20% higher wind is a 44% higher pressure, which is why a jump of one hurricane category is so much more than one step. And is not yet the load on anything. It becomes a design pressure only after multiplying by the gust-effect factor and the external and internal pressure coefficients, and those coefficients are frequently negative — the suction on a leeward roof slope is usually the worst pressure on the entire building. Roofs are far more often lifted off than pushed in.
- = Velocity pressure at height z (kPa)
- = Velocity pressure exposure coefficient
- = Topographic factor
- = Wind directionality factor
- = Basic wind speed (m/s)
- Velocity pressure at height z — Transverse Shear Stress (τ = VQ/Ib), Maximum Principal Stress (Mohr's Circle)
- Velocity pressure exposure coefficient — Rational Method Peak Runoff, Chezy Equation
- Topographic factor — Muskingum Channel Storage, Superelevation Rate for a Horizontal Curve
- Wind directionality factor — Muskingum Channel Storage, Superelevation Rate for a Horizontal Curve
- Basic wind speed — Wind Chill (2001 North American Formula), Stopping Sight Distance