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Core Geometry & Layout

Stair Nosing Calculator

Enter your structural tread run and the tread board you're using. Get the nosing overhang, the board depth you actually need to buy, and a live check against IRC, IBC and ADA nosing rules.

Free to use No sign-up required Formulas verified against IRC 2021 Imperial & metric supported
Overhang & board depth calculated IRC / IBC / ADA compliance chips Radius & bevel checked Last verified July 2026
Checked line-by-line by our in-house stair-planning team before publishing — figures re-verified July 2026.
in

This is the "T" from your rise & run layout — the code-measured tread depth, not the physical board.

in

Front-to-back size of the actual board or slab, e.g. a stock 1x12 finishes at 11.25".

in

Leave blank to skip the angle and 2R+T comfort check.

Advanced: nosing edge profile
in

The rounded (radius) or sawn (bevel) size on the front top edge of the nosing.

Advanced: riser type & code standard
Side profile diagram of a tread nosing and its overhang

Results

Nosing Overhang
in
Board Depth Needed
in
Code Tread Depth
in
Nosing Required?
Stair Angle
°
2R + T Comfort
in
Max Overhang
in
Min Overhang
in
How to measure

Getting your two starting numbers right

This calculator only needs two real-world measurements. Get those right and everything downstream — overhang, board size, code check — follows automatically.

1

Find your structural tread depth

This is the "T" (run) from your rise-and-run layout or stringer cut list — the horizontal distance the stair advances per step, measured nosing-to-nosing. It is not the physical board size. Pull it from the Stair Rise and Run Calculator if you haven't already worked it out.

2

Pick your tread board

Measure or look up the actual front-to-back depth of the board, slab, or stone you're installing — a stock nominal "1x12" finishes at 11.25", a 2x12 at 11.25" as well, and many stone/composite treads run 11.5"–12". This is different from the code tread depth.

3

Choose what you're solving for

Know your board and want the resulting overhang? Use "Nosing Overhang" mode. Know the overhang you want and need to size a board to order? Switch to "Board Depth" mode instead.

4

Read the compliance chips

Green means the overhang, tread depth, and edge profile sit inside your selected code's limits. Red means the board is too deep, too shallow, or the edge is over-radiused — adjust before you cut.

The math

The four formulas behind every result

Nothing on this page is a black box. Here's exactly what runs when you change a number.

Nosing Overhang

Overhang = Board Depth − Tread Depth

The physical board overhangs the riser below it by whatever depth is left over once the structural run is accounted for.

Board Depth Needed

Board Depth = Tread Depth + Target Overhang

The reverse calculation — the exact board size to order or cut to hit a chosen overhang.

Stair Angle

θ = atan( Riser ÷ Tread Depth )

Uses the code tread depth (the run), never the physical board — the overhang doesn't change the walking angle.

2R + T Comfort Check

2R + T = 24–25.6 in (target)

The same comfort formula used across this site's geometry tools, run against your tread depth and riser height together.

Worked example

Sizing a stock 1x12 tread against a 10" run

A common real situation: your stringers are already cut to a 10" run, and you're deciding whether off-the-shelf tread stock will still pass code.

1

Start with the structural run

Your rise-and-run layout gives a 10" tread depth (code-measured, nosing-to-nosing) and a 7.5" riser — both already IRC-compliant on their own.

2

Check the stock board

A nominal "1x12" board finishes at 11.25" deep. Overhang = 11.25 − 10 = 1.25" — landing exactly on the IRC maximum of 1-1/4". It passes, but with zero margin.

3

Where it breaks

Some mills cut "1x12" closer to 11.5" actual, which is a common enough variance to matter. At 11.5" board depth, overhang becomes 11.5 − 10 = 1.5" — now over the 1.25" max and technically an inspection fail, even though nothing about your stringer layout changed.

4

The fix

Either rip the board down to 11.25" or less before installing, or open the structural run slightly (10.25" instead of 10") so a full-width 11.5" board still lands inside the 1.25" cap. This is exactly why board stock should be measured, not assumed, before it's cut to length.

This is the interaction this calculator is built to catch: a perfectly legal tread run can still fail inspection once a specific piece of lumber is put on it, and the two checks — run and board size — have to be run together, not separately.

Code reference

Nosing rules by code, side by side

The three codes most projects run into. Figures marked unconfirmed should be checked against your local adopted code before you build.

CodeMin OverhangMax OverhangMax RadiusMax BevelNosing Required When
IRC 2021 (Residential)3/4"1-1/4"9/16"1/2"Tread depth < 11", solid risers
IBC 2021 (Commercial)not set VERIFY1-1/4"9/16" VERIFY1/2" VERIFYRare — IBC min tread is already 11"
ADA / ANSI A117.1not set VERIFY1-1/2"1/2"n/a VERIFYApplies on accessible routes VERIFY

Reference only — always confirm against your local jurisdiction's adopted code edition and amendments before building.

Beyond overhang length

Open risers, edge profiles & the 11" exception

Overhang length is only one part of the nosing rule. These three items trip up otherwise-correct stairs just as often.

The 11" exception

No nosing required when Tread Depth ≥ 11"

Once your structural run hits 11", IRC and IBC both drop the nosing overhang requirement entirely — the tread is judged deep enough on its own. This is why many modern flush-front stair designs use an 11"+ run instead of adding a lip.

Solid vs. open risers

Overhang rule applies to solid risers VERIFY

Code text ties the nosing projection requirement to stairways "with solid risers." Open-riser stairs have no riser face for the tread to overhang, so the same limits may not apply the same way — confirm the exact wording your jurisdiction has adopted before assuming either way.

Radius vs. bevel

Radius ≤ 9/16" or Bevel ≤ 1/2" (IRC)

The front top edge of the nosing can be rounded over (radius) or angle-cut (bevel), but not both stacked past these limits. ADA is stricter on radius, capping it at 1/2" regardless of code edition.

Flight-to-flight uniformity

Overhang variance ≤ 3/8" within a flight

Same rule that governs riser and tread uniformity applies to nosing projection — the largest and smallest overhang in one flight can't differ by more than 3/8", even if every individual overhang is within the min/max range.

Avoid these

Common mistakes when sizing nosing

Most nosing-related inspection fails trace back to one of these five, not to bad carpentry.

📏

Confusing board depth with tread depth

A deep board doesn't automatically mean a deep code tread — the code number is measured nosing-to-nosing and is set by your structural run, not by the lumber you buy.

🚨

Overhanging too far

Past 1-1/4" (IRC/IBC) the lip becomes a toe-catch hazard on the way up, not a safety feature — more overhang is not automatically safer.

🔁

Letting overhang drift between steps

A 3/4" overhang on step one and a 1-1/8" overhang on step six both pass the min/max range individually but can still fail the 3/8" flight-uniformity rule.

🪵

Assuming nominal lumber sizing

"1x12" isn't always exactly 11.25" — mill variance is common enough to push an at-the-limit overhang over the max, as in the worked example above.

Over-rounding the front edge

A generous bullnose profile can quietly exceed the 9/16" radius or 1/2" bevel cap, especially on stone or engineered stone treads cut with a router by feel rather than to a spec.

Who uses this

When to use a stair nosing calculator

Nosing sizing shows up any time a specific board meets a specific structural layout.

🧱

New Construction

Confirming a chosen tread stock still fits the stringer layout before ordering material.

🏚️

Remodel with Existing Stringers

Working backward from a fixed structural run to find the maximum board depth allowed.

🪚

Retrofitting a Nose Trim Strip

Adding a separate nosing strip to a flush existing tread and checking the resulting projection.

🏢

Commercial / IBC Projects

Verifying nosing dimensions against IBC and, on accessible routes, ADA limits at once.

🗄️

Lumber & Stone Selection

Comparing several stock tread sizes against one layout before placing a material order.

📋

Pre-Inspection Checks

Catching an over- or under-sized overhang before a plan check flags it.

FAQ

Common questions

What is stair nosing?
Nosing is the leading edge of a tread where it projects past the face of the riser below. It gives the descending foot extra landing surface on treads shallower than 11".
How much should stair nosing overhang?
Under IRC 2021, between 3/4" and 1-1/4" beyond the riser face below, on stairways where the tread depth is under 11". ADA allows up to 1-1/2".
Is nosing required on every stair?
No. Once the tread depth reaches 11" or more, both IRC and IBC drop the nosing requirement entirely, which is why many flush-front modern stairs use a deeper run instead of a lip.
Does nosing count toward my 10-inch minimum tread depth?
No. Code tread depth is measured nosing-to-nosing and is set by your structural run, not by how far the board overhangs. The overhang is a separate, additional requirement on shallow treads, not a way to pad the 10" minimum.
What's the difference between tread depth and board depth?
Tread depth (the code number) is the horizontal distance between the leading edges of two adjacent treads. Board depth is the physical front-to-back size of the lumber, stone, or slab you install — it's always deeper than the tread depth by the overhang amount.
What tread board depth should I buy for a 10" run?
Add your target overhang to the 10" run — for a mid-range 1" overhang, that's an 11" deep board. Switch this calculator to "Board Depth" mode and enter your target overhang to get the exact figure.
Do open riser stairs need a nosing overhang?
Code language ties the nosing projection rule to stairways with solid risers, since an open riser has no riser face to overhang. Confirm with your local building department before skipping it on an open-riser design.
What's the maximum radius or bevel on a nosing edge?
IRC and IBC cap the radius of curvature at 9/16" or the bevel at 1/2". ADA is stricter, capping the radius at 1/2" on accessible routes.
Do IBC nosing rules differ from IRC?
The maximum overhang matches at 1-1/4", but IBC's minimum tread depth is already 11", so most commercial stairs clear the no-nosing-required threshold by default rather than needing an overhang at all.
Does ADA require different nosing dimensions?
Yes — ADA allows a larger maximum overhang (1-1/2") but a smaller maximum radius (1/2") than IRC or IBC. Where a project must meet both a building code and ADA, the stricter figure on each dimension controls.
Why did my overhang come out negative?
Your board depth is shallower than your structural tread depth, which isn't physically buildable — the board would fall short of the riser below it. Choose a deeper board or reduce your structural run.
Does the overhang change my stair's walking angle?
No. Angle and the 2R+T comfort check both use the code tread depth (the structural run), not the physical board depth — overhang has no effect on either.