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Wind pressure calculator for glazing

Wind pressure on a facade is the peak velocity pressure multiplied by a shape coefficient. The peak pressure grows with the basic wind speed, with height above ground and with how open the surroundings are. The coefficient depends on where the pane sits: a corner of the building sees far more suction than the middle of a wall. This page works out both, to Eurocode or to ASCE 7, and shows every factor it used.

Site
From the wind map in your National Annex — 10-minute mean, 10 m above ground, terrain II, 50-year return. In Spain (CTE DB SE-AE) it is 26 m/s in zone A, 27 in zone B and 29 in zone C. Look yours up; do not guess.
For a facade, use the height of the top of the building when the building is not tall — Eurocode lets the whole face be checked at the reference height.
Where the pane sits
If in doubt, leave it on A: it is the most demanding and it is where the glass actually breaks.
Height divided by the depth in the wind direction. Only changes zones D and E.
—
Suction (outward)
— kN/m²
Pressure (inward)
— kN/m²
Peak velocity pressure qp
— kN/m²
Governing value
— kN/m²
use this for the glass

Eurocode EN 1991-1-4, step by step

q_b = ½ · ρ · v_b² // ρ = 1.25 kg/m³, v_b = c_dir·c_season·v_b,0, both taken as 1.0 k_r = 0.19 · (z₀ / 0.05)^0.07 // terrain factor c_r(z)= k_r · ln(z / z₀) // roughness, floored at z_min v_m = c_r · c_o · v_b // c_o = 1.0, flat ground I_v = 1 / (c_o · ln(z / z₀)) // turbulence intensity q_p = (1 + 7·I_v) · ½ · ρ · v_m² // peak velocity pressure w = q_p · (c_pe − c_pi) // net pressure on the pane
Terrainz₀ (m)zmin (m)
0 — open sea0.0031
I — flat, no vegetation0.011
II — low vegetation0.052
III — suburban0.35
IV — urban1.010

External pressure coefficients are the local ones, cpe,1, which apply to loaded areas of 1 m² or less. That is the right column for a pane of glass or a fixing; the cpe,10 values are for whole structural elements and would under-read here.

ZoneABCDE
cpe,1, h/d ≥ 5−1.4−1.1−0.5+1.0−0.7
cpe,1, h/d = 1−1.4−1.1−0.5+1.0−0.5
cpe,1, h/d ≤ 0.25−1.4−1.1−0.5+1.0−0.3

Internal pressure: when the openings cannot be estimated, EN 1991-1-4 says to take the more onerous of cpi = +0.2 and −0.3. That is what "unknown" does here, and it is why the suction figure is bigger than the bare external coefficient would suggest.

Characteristic or design? The value above is characteristic. For an ultimate limit state check you multiply by the partial factor for wind, γQ = 1.5 in the recommended EN 1990 set — and that is the number the thickness calculator wants. Both are shown.

ASCE 7-16, step by step

K_z = 2.01 · (z/z_g)^(2/α) // z floored at 15 ft q_h = 0.00256 · K_z · K_zt · K_d · V² // psf; K_zt = 1.0, K_d = 0.85 p = q_h · (GC_p − GC_pi) // GC_pi = ±0.18, enclosed building exposure B: α = 7.0, z_g = 1200 ft exposure C: α = 9.5, z_g = 900 ft exposure D: α = 11.5, z_g = 700 ft

GCp falls as the effective wind area grows, logarithmically between 10 ft² and 500 ft². For walls on a building up to 60 ft: zone 4 runs from +1.0 / −1.1 down to +0.7 / −0.8, and zone 5 from +1.0 / −1.4 down to the same +0.7 / −0.8. ASCE 7 wind loads are already at strength level, so there is no extra 1.5 to apply — for an allowable stress check you would use 0.6 × the value instead.

Peak velocity pressure by wind speed and height

qp in kN/m² from EN 1991-1-4 for terrain II (low vegetation, z₀ = 0.05 m), flat ground (co = 1.0) and cdir = cseason = 1.0, the same sums as the calculator above. Read across from the basic wind speed of your national annex map. Multiply by cpe − cpi for the pressure on a pane.

Basic wind speed vb5 m10 m20 m50 m
22 m/s (79 km/h)0.580.710.851.05
24 m/s (86 km/h)0.690.851.011.25
26 m/s (94 km/h)0.820.991.191.47
28 m/s (101 km/h)0.951.151.381.70
30 m/s (108 km/h)1.091.321.581.95
33 m/s (119 km/h)1.311.601.912.36

1 kN/m² ≈ 20.9 psf. Other terrains change the figures a lot: use the calculator, which takes terrain 0 to IV.

What this page does not do

Worked example you can check by hand

vb,0 = 27 m/s, terrain II, z = 10 m, zone A, cpi unknown.

q_b = ½ · 1.25 · 27² = 0.4556 kN/m² k_r = 0.19 · (0.05/0.05)^0.07 = 0.1900 c_r = 0.19 · ln(10/0.05) = 1.0067 v_m = 1.0067 · 27 = 27.180 m/s I_v = 1 / ln(10/0.05) = 0.18874 q_p = (1 + 7·0.18874) · ½ · 1.25 · 27.180² = 2.32119 · 0.46172 = 1.0717 kN/m² suction = 1.0717 · (−1.4 − 0.2) = −1.715 kN/m² characteristic × 1.5 = −2.572 kN/m² design
Read this. This is a pre-dimensioning aid for people who already know the subject. It is not a structural calculation and it does not replace the standard, your National Annex or the engineer who signs the job. The basic wind speed and the orography are yours to get right.

Questions people ask

How do you calculate wind pressure?
Start from the dynamic pressure of the wind, ½ · ρ · v², with ρ = 1.25 kg/m³ for air. Eurocode EN 1991-1-4 then raises it for height, terrain and gusts to the peak velocity pressure q_p, and multiplies by the pressure coefficients of the zone of the building. For 27 m/s at 10 m in open country (terrain II), q_p = 1.07 kN/m².
What is the wind pressure at 100 km/h?
The dynamic pressure of a steady 100 km/h (27.8 m/s) wind is ½ × 1.25 × 27.8² = 482 Pa, about 10.1 psf. On a building, gusts, height and the pressure coefficients make the design figure larger.
How do you convert wind speed to pressure?
Pressure in pascals = 0.613 × v², with v in m/s (½ × 1.25 kg/m³). Doubling the speed multiplies the pressure by four.
What is peak velocity pressure?
The pressure of the wind at the height of the building including gusts, q_p in EN 1991-1-4: (1 + 7 · I_v) · ½ · ρ · v_m², where v_m is the mean wind at that height and I_v the turbulence. The pressure on a pane is q_p times the difference of the external and internal coefficients.

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