decibench

Reference

EN 1991-1-4 terrain categories

Wind pressure is not one number for a site. It depends on how rough the ground upwind is and how far above it you are.

Terrain categories and resulting pressure

Categoryz0 (m)zmin (m)kr5 m10 m20 m30 m50 m
0 — Open sea or coastal, exposed0.00310.15601,1001,2611,4311,5361,672
I — Lakes, flat ground, no obstacles0.01010.16981,0001,1701,3511,4631,609
II — Low vegetation, isolated obstacles0.05020.19008159941,1871,3071,465
III — Villages, suburban, forest0.30050.21545417229221,0481,215
IV — Urban, >15 % built, buildings over 15 m1.000100.2343497497695821990

Peak velocity pressure qp(z) in N/m² for a basic wind velocity vb = 26 m/s on flat terrain (co = 1). Scale by (vb/26)² for another wind speed.

How pressure is built up

The basic velocity pressure is what the wind would do in clean air, with the recommended air density of 1.25 kg/m³:

qb = ½ · ρ · vb²

The roughness factor then scales the mean wind for terrain and height, and below a terrain's minimum height the profile is frozen rather than extrapolated down:

cr(z) = kr · ln(z / z0)   with   kr = 0.19 · ( z0 / 0.05 )0.07

Finally turbulence is added, because gusts break things, not means:

qp(z) = [ 1 + 7·Iv(z) ] · ½ · ρ · vm(z)²

A check the standard runs on itself

The basic wind velocity is defined as the 10-minute mean at 10 m over terrain category II. So the roughness factor at exactly that point has to come out as 1, and it does: 0.19 · ln(10/0.05) = 1.007. That only works if the terrain table and the terrain factor expression are both right, which makes it a useful way to verify any implementation.

Height costs you twice

Raising an antenna reaches faster wind and lengthens the lever arm. Doubling the height of a given antenna typically more than triples its contribution to the base moment, which is how a mast that worked fine last year stops working after somebody adds half a metre of pole.

Your basic wind velocity vb is a local climate figure from your National Annex wind map. Related tool: Antenna mast wind load.