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

qz=0.613KzKztKdV2q_z = 0.613 \, K_z K_{zt} K_d V^{2}

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The velocity pressure equation is Bernoulli with the trade's constants folded in. Stagnation pressure is 12ρV2\tfrac{1}{2}\rho V^2, 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 KzK_z accounts for terrain roughness and height, KztK_{zt} for hills and escarpments that speed the wind up, and KdK_d 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 Kz=Kzt=1.0K_z = K_{zt} = 1.0 and Kd=0.85K_d = 0.85 gives 0.613×0.85×2025=10550.613 \times 0.85 \times 2025 = 1055 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: KzK_z comes from a table indexed by exposure category and height, KztK_{zt} from a topographic procedure with three separate multipliers, the basic wind speed VV from hazard maps tied to risk category and return period, and the imperial version of this same equation reads qz=0.00256KzKztKdV2q_z = 0.00256\,K_zK_{zt}K_dV^2 with V in mph and qzq_z 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 qzq_z 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.

Wind Velocity Pressure (qz = 0.613 Kz Kzt Kd V²)
qz=0.613KzKztKdV2q_z = 0.613 \, K_z K_{zt} K_d V^{2}
Where
  • qzq_z= Velocity pressure at height z (kPa)
  • KzK_z= Velocity pressure exposure coefficient
  • KztK_{zt}= Topographic factor
  • KdK_d= Wind directionality factor
  • VV= Basic wind speed (m/s)
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