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Glass · Structural

Glass thickness calculator for wind load

A glass pane under wind load is checked twice: bending stress and deflection. For a rectangular pane supported on four edges, stress is σ = β·q·b²/t² and deflection is w = α·q·b⁴/D, where b is the short span and t the thickness. The pane passes when σ stays below the design strength of that glass type and w below the agreed limit.

Pane
Two- and three-edge support and point fixings are a different calculation. They are on the way; do not use this page for them.
Glass
Load & criteria
Already factored. Get it from EN 1991-1-4 (Eurocode) or ASCE 7 — this page does not calculate wind pressure from location.
EN 16612 sets no deflection limit. This is a project or national requirement — check yours.
—
Bending stress σ
— N/mm²
limit —
Show the working
Deflection w
— mm
limit —
Show the working
Utilisation
— %
worst of the two checks
Show the working
Thinnest that passes
— mm
same type and make-up
Show the working

See this pane bend in the wind lab →

Checking a whole facade? Paste the glazing schedule and every pane is checked at once — the thinnest glass for each, what it weighs, and the fewest make-ups that cover the job. Glazing schedule checker →

Everything is computed in your browser — no upload, no sign-up, nothing about your project leaves your machine. Every coefficient and every standard used is written out below, so you can check the result instead of trusting it.

Glass thickness chart for wind load

The thinnest monolithic glass that passes both checks — bending stress, and deflection within short span / 65 — for common pane sizes supported on four edges. Read across to your design pressure. These are the calculator's own numbers, produced by the same code: a 1200 × 2200 mm pane at 1.2 kN/m² needs 6 mm fully tempered, or 8 mm annealed.

Fully tempered (toughened), mm

Pane, mm (in)0.8 kN/m²
17 psf
1.2 kN/m²
25 psf
1.6 kN/m²
33 psf
2.0 kN/m²
42 psf
2.4 kN/m²
50 psf
600 × 900 (24 × 35)33444
900 × 1200 (35 × 47)44555
1000 × 1500 (39 × 59)55666
1200 × 1800 (47 × 71)56888
1200 × 2200 (47 × 87)66888
1500 × 2000 (59 × 79)688810
1800 × 2400 (71 × 94)88101010
2000 × 3000 (79 × 118)1010121212

Annealed float, mm

Pane, mm (in)0.8 kN/m²
17 psf
1.2 kN/m²
25 psf
1.6 kN/m²
33 psf
2.0 kN/m²
42 psf
2.4 kN/m²
50 psf
600 × 900 (24 × 35)33445
900 × 1200 (35 × 47)45566
1000 × 1500 (39 × 59)55688
1200 × 1800 (47 × 71)568810
1200 × 2200 (47 × 87)6881010
1500 × 2000 (59 × 79)6881010
1800 × 2400 (71 × 94)810101212
2000 × 3000 (79 × 118)1010121515

Laminated glass, another deflection limit or a size that is not here: type it in above. For a whole facade, the schedule checker does every pane in one paste and groups them into the fewest make-ups.

How this is calculated

Small-deflection (linear) plate theory for a rectangular plate under uniform pressure, simply supported on all four edges — the classical Timoshenko solution. b is always the short span.

D = E · t³ / (12 · (1 − ν²)) // flexural rigidity w = α · q · b⁴ / D // maximum deflection, at the centre σ = β · q · b² / t² // maximum bending stress, at the centre E = 70 000 N/mm² ν = 0.23 // soda-lime silicate glass

α and β depend only on the aspect ratio r = long span / short span. Values are interpolated between the tabulated points:

r = a/b1.01.21.41.61.82.03.0≥5.0
α (deflection)0.004060.005640.007050.008300.009310.010130.012230.01302
β (stress)0.28740.37620.45300.51720.56880.61020.71340.7500

Where we are being straight with you: those tabulated coefficients are the classical ones, computed for Poisson's ratio ν = 0.3, while glass is nearer 0.23. We use 0.23 in the rigidity D and the 0.3 coefficients in the table. For pre-dimensioning the difference is a few per cent and it errs on the safe side for deflection. We would rather tell you than hide it.

Design strength

Design bending strength follows the form used in EN 16612:

annealed: f_gd = (k_mod · k_sp · f_gk) / γ_MA prestressed: f_gd = (k_mod · k_sp · f_gk) / γ_MA + k_v · (f_bk − f_gk) / γ_MV f_gk = 45 N/mm² γ_MA = 1.8 γ_MV = 1.2 k_mod = 1.0 // 5 s gust, wind load k_sp = 1.0 // float glass k_v = 1.0 // horizontal toughening
Glass typef_bkDesign strength under wind
Annealed float (EN 572)45 N/mm²25.0 N/mm²
Heat-strengthened (EN 1863)70 N/mm²45.8 N/mm²
Fully tempered (EN 12150)120 N/mm²87.5 N/mm²

Laminated glass

A laminated pane sits somewhere between two loose plies and one solid pane, depending on how much shear the interlayer transfers — which changes with temperature and how long the load lasts. Rather than pick a number for you, this page computes both bounds and takes the conservative one for the verdict:

no shear transfer (lower bound, used for the verdict): t_ef,w = (t₁³ + t₂³)^(1/3) // for deflection t_ef,σ = √( (t₁³ + t₂³) / t_max ) // for stress in the thicker ply full shear transfer (upper bound): t_ef = t₁ + t₂

The real value lies between them. EN 16613 and the Wölfel–Bennison method give it from the interlayer's shear modulus at the design temperature and load duration. A stiff ionoplast interlayer on a cold day approaches the upper bound; a soft PVB on a hot day approaches the lower one. Nominal thicknesses are used throughout — real glass is thinner than nominal, which is another small margin on the safe side.

What this page does not do

Worked example you can check by hand

A 1200 × 2200 mm pane, 10 mm fully tempered, under 1.20 kN/m².

b = 1200 mm, a = 2200 mm, r = 1.8333 → interpolating between the 1.8 and 1.9 columns, α = 0.009453 and β = 0.5762. q = 1.20 kN/m² = 0.0012 N/mm².

D = 70000 · 10³ / (12 · (1 − 0.23²)) = 6.159 × 10⁶ N·mm w = 0.009453 · 0.0012 · 1200⁴ / 6.159×10⁶ = 3.82 mm // limit 1200/65 = 18.46 mm → 21% used σ = 0.5762 · 0.0012 · 1200² / 10² = 9.96 N/mm² // limit 87.5 N/mm² → 11% used utilisation = the worse of the two = 21%, governed by DEFLECTION, not stress

Type those numbers into the calculator above and you should get exactly these figures — including the 21%, which is the deflection check and not the stress one. On toughened glass that is the usual outcome: the pane is nowhere near breaking and the thing that decides its thickness is how much it bends. If you ever find the calculator disagrees with this worked example, the calculator is wrong and we want to know.

Read this. This is a pre-dimensioning aid for professionals who already know the subject. It is not a structural calculation, it is not signed by an engineer, and it does not replace the applicable standard or the responsibility of whoever specifies the glass. Check the result against your project's code before ordering anything.