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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
Deflection w
mm
limit
Utilisation
%
worst of the two checks
Thinnest that passes
mm
same type and make-up

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.

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 → passes σ = 0.5762 · 0.0012 · 1200² / 10² = 9.96 N/mm² // limit 87.5 → passes, 11% used

Type those numbers into the calculator above and you should get exactly these figures. If you ever find that they disagree, 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.