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Stair Stringer Calculator

Free stair calculator: enter total rise to get riser count, actual riser height, tread count, total run, stringer length and stair angle, checked against the 2r+R rule.

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Enter the total rise above.

Deep dive guides

A LITTLE CONTEXT · 3 MIN READHow Stairs Get Comfortable: Rise, Run, and the 2r + R Rule

How stair stringer calculator works

Every stair starts with one measurement: total rise, the floor-to-floor (or deck-to-grade) height the stairs must climb. Divide it by your target riser height — 7 inches is the classic target, and codes cap risers near 7¾ inches — then round up to a whole number of risers. The actual riser is total rise ÷ riser count: splitting a 106 in rise into 16 risers gives 6.63 inches each.

Treads follow from the count: a stair with N risers has N − 1 treads, because the upper floor itself is the last 'tread'. Total run is treads × tread depth — 10 inches is the common minimum with nosing. Rise and run together set the stringer: its length along the slope is the hypotenuse, √(run² + rise²), and the stair angle is atan(rise ÷ run). Comfortable stairs sit near 30–37 degrees.

The tool also checks the classic comfort rule: 2 × riser + tread should land between about 24 and 25.5 — a 7 in riser with a 10 in tread scores exactly 24. Below that range stairs feel shallow and stuttery; above it they feel steep. It's a design heuristic rather than code, so always verify local rise, run, nosing and headroom rules before cutting — and remember the first stringer you cut becomes the template for all the rest.

Frequently asked questions

How many steps for a 106 inch rise?
At a 7 inch target: 16 risers of 6.63 inches each, giving 15 treads and a 150 inch (12.5 ft) total run. The angle works out to about 35 degrees. Entering the rise into the calculator beats trial-and-error arithmetic on the job site.
What is the 2r + R rule?
A stair comfort heuristic attributed to François Blondel (17th century): twice the riser plus the tread should total about 24–25.5 inches — roughly one comfortable stride. It explains why shallow risers pair with deep treads and why you can't just maximize both.
How long a 2x12 do I need for stringers?
The calculator's stringer length is the slope measurement; add a foot or so for the top attachment and bottom cut. A 15.3 ft slope needs a 16 ft 2x12 — and you need one good first stringer as the template for the others, so buy straight lumber.
What do building codes require for stairs?
Typical residential limits (check your local code): maximum riser around 7¾ inches, minimum tread depth 10 inches with nosing, consistent rise and run within 3/8 inch across the flight, and handrails once there are four or more risers. Deck stairs follow the same rules plus guard requirements.
Why does riser height change with tread depth?
Because of the 2r + R stride rule: every inch you add to riser height wants about two inches taken off tread depth to keep the stride natural. That's why a 6.6 in riser pairs with a deeper tread, while a 7¾ in riser wants one close to 10 inches.