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Glass · Safety critical

Glass balustrade calculator

A free-standing glass balustrade is a cantilever, so the interlayer decides everything. Stress at the base is σ = 6·F·h/t² and deflection at the top is δ = 4·F·h³/(E·t³) — and t is the effective thickness, which for the same 12+12 laminate can be 15 mm or 24 mm depending on how much shear the interlayer transfers. That is a factor of four in deflection. This page gives you both bounds and never pretends to know which one you have.

The barrier
From the top of the base clamp to the point where the load is applied — normally the top edge or the handrail height.
These are the UK National Annex values to BS EN 1991-1-1, Table NA.8, in wide use. Other countries differ — check your own National Annex. Spain uses CTE DB SE-AE Table 3.3.
The glass
Laminated only. A balustrade that can drop a person if it breaks has no business being monolithic, whatever the arithmetic says.
Tempered is stronger but shatters into small pieces, so a broken ply keeps almost nothing. Heat-strengthened breaks into large fragments that stay bonded to the interlayer — which is why it is usually preferred for barriers.
Stress — no shear transfer
N/mm²
Deflection — no shear
mm
Stress — full shear
N/mm²
Deflection — full shear
mm

How this is calculated

A free-standing balustrade is a vertical cantilever, clamped at the bottom, pushed horizontally near the top. Everything is worked out per metre of width, which is how the line load is given.

σ = 6 · F · h / t_ef,σ² // bending stress at the base δ = 4 · F · h³ / (E · t_ef,w³) // deflection at the top F in N/mm (1 kN/m = 1 N/mm), h in mm, E = 70 000 N/mm²

The effective thicknesses are the two bounds of a laminate, exactly as in the thickness calculator:

no shear transfer: t_ef,w = (t₁³ + t₂³)^(1/3) t_ef,σ = √((t₁³ + t₂³) / t_max) full shear transfer: t_ef = t₁ + t₂

Design strength follows EN 16612, with kmod = 0.663 · t−1/16 for a load lasting t hours — which gives 1.00 at five seconds, 0.89 at thirty and 0.74 at ten minutes.

Glass typefbkDesign strength, 5 s
Annealed45 N/mm²25.0
Heat-strengthened70 N/mm²45.8
Fully tempered120 N/mm²87.5

The broken-ply check, which almost nobody does

This is the part that matters and the part most online calculators skip entirely. A balustrade is not judged only on whether it holds when it is intact. It is judged on what happens when one ply breaks — because glass does break, and a barrier that lets someone through when it does has failed at its only real job.

The page checks the remaining ply on its own, carrying the full line load, and reports the stress. Read it as a warning light, not as a certificate:

Read this, and mean it. A balustrade is a life-safety element. This page is a pre-dimensioning aid for people who already design them: it does not replace BS 6180, EN 1991-1-1, your National Annex, a test report, or the engineer who signs the job. If the only thing standing between a person and a drop is a piece of glass, the number must come from someone who takes legal responsibility for it. That is not us.

What this page does not do

Worked example you can check by hand

1100 mm free height, 0.74 kN/m, 12 + 12 laminated, heat-strengthened, 5 s.

t_ef,w (no shear) = (12³ + 12³)^(1/3) = (3456)^(1/3) = 15.119 mm t_ef,σ (no shear) = √(3456 / 12) = √288 = 16.971 mm σ = 6 · 0.74 · 1100 / 16.971² = 4884 / 288 = 16.96 N/mm² (limit 45.8) δ = 4 · 0.74 · 1100³ / (70000 · 15.119³) = 3.9394e9 / 2.4192e8 = 16.28 mm (limit 1100/65 = 16.92)

So it passes on both counts at the conservative bound — but the deflection is at 96 % of its limit, which is exactly the kind of margin that disappears once the base channel rotates.