Staircase Calculator

Size a staircase from total rise to finished cost with this free stair calculator: riser & tread solver, straight-run and headroom planner, L-shape & U-shape layouts, stringer cut lists, an IRC code checker, material takeoff, and a DIY-vs-pro cost estimator. All math runs in your browser — nothing is uploaded.

Scope: this tool sizes the stairs themselves (steps, stringers, landings, code). For carpet yardage computed from stair dimensions, see our carpet calculator.

Riser & Tread Solver

This stair riser calculator picks the riser count that lands closest to your ideal riser height, then enforces the IRC 7.75-in maximum; the stair tread calculator half of the solver checks tread depth against the 10-in IRC minimum. Enter floor-to-floor rise to start.

Worked example: a 108-in (9-ft) floor-to-floor stair

Every number on this page comes from one consistent calculation — change the inputs above and all seven modes update together.

QuantityValueHow
Risers15 at 7.2 in eachround(108 ÷ 7) = 15; 108 ÷ 15 = 7.2 ≤ 7.75 max
Treads14 at 11 in deeprisers − 1 (top tread is the upper floor)
Total run154 in (12 ft 10 in)14 × 11
Stringer length188.1 in (15 ft 8.1 in)√(108² + 154²)
Stair angle35.04°atan(108 ÷ 154)
Comfort check25.4 in — comfortable2R + T = 2×7.2 + 11 (ideal 24–25)
Stringers for 36-in width3 cut stringers≤ 18 in on center: ⌈36 ÷ 18⌉ + 1
Throat depth5.36 in — OK11.25 − 7.2·cos(35.04°) ≥ 3.5 in min
Stairwell opening131.19 in (10 ft 11.2 in)keeps 80-in headroom with 12-in floor assembly
L-shape split (8 + 7 risers)113 × 102 in footprint77-in lower run + 66-in upper run + 36×36 landing
U-shape split (8 + 7 risers)113 × 72 in footprint77-in runs side by side + 36×36 landing
Takeoff3× 2×12×16 ft, 4× 2×12×12 ft, 4× 1×8×12 ft, 28 balusters4 treads per 12-ft board; 2 balusters per tread
Cost$621.50 DIY · $2421.50 pro installedmaterials + 10% waste; pro adds $1,800 labor

Staircase questions, answered

How many steps do I need for stairs, with a 9-foot (108 in) floor-to-floor rise?

15 risers at 7.2 in each (108 ÷ 15). That gives 14 treads at 11 in deep and a total run of 154 in (12 ft 10 in). The stringer works out to 188.1 in (15 ft 8.1 in) at a 35.04° pitch — comfortably under the 7.75-in IRC riser maximum.

What is the 7–11 rule for stairs?

A 7-in riser paired with an 11-in tread — the classic 7-11 rule stairs combination. It satisfies the stair comfort formula 2R + T = 25 (2×7 + 11), inside the ideal 24–25 in band, and meets IRC limits (riser ≤ 7.75 in, tread ≥ 10 in).

What is the maximum riser height allowed by code?

7.75 in under IRC R311.7.5.1, and the tallest and shortest risers in one flight must not differ by more than 3/8 in. The 108-in example on this page uses 7.2-in risers — under the max with room to spare. Always check local code; some jurisdictions amend the IRC.

How long should stair stringers be?

This stair stringer length calculator treats the stringer as the hypotenuse of the total rise and total run: √(108² + 154²) = 188.1 in (15 ft 8.1 in) for the example stair. Buy 2×12 boards at the next standard length up — 16 ft here — and add mid-span support on stringers longer than 10 ft.

How many stringers do I need?

The short answer to "36 inch wide stairs how many stringers" is three: cut stringers must be spaced no more than 18 in on center, so ⌈36 ÷ 18⌉ + 1 = 3 stringers. Anything wider than 36 in needs at least four.

How much headroom do stairs need, and how big must the stairwell opening be?

IRC requires 80 in (6 ft 8 in) of headroom along the whole run (R311.7.2). For the 108-in example with a 12-in floor assembly, the upper floor must open within 22.81 in of the stair base — a stairwell opening at least 131.19 in (10 ft 11.2 in) long.

When is a handrail required on stairs?

On at least one side of any flight with 4 or more risers (IRC R311.7.8) — so the 15-riser example on this page needs one. Rail height must be 34–38 in measured vertically above the tread nosings.

What size landing do L-shaped and U-shaped stairs need?

This stair landing calculator covers both turns: at least 36 in measured in the direction of travel and no narrower than the stair itself (IRC R311.7.6) — use 36×36 in for a 36-in stair. Splitting the 108-in example into 8 + 7 risers gives a 77-in lower run and a 66-in upper run: the L footprint is 113 × 102 in, the U footprint 113 × 72 in.

Are open risers allowed?

Yes, if the gap between treads will not pass a 4-in diameter sphere (IRC). Stair nosing requirements IRC R311.7.5.3: with solid risers and treads under 11 in deep, nosings of 3/4 to 1-1/4 in are required; with open risers there is no nosing requirement.

Can I use this as a deck stair stringer calculator?

Yes — deck stairs use the same rise/run math. Enter your deck's floor-to-deck-board rise and this deck stair stringer calculator returns riser count, stringer length, and the 2×12 cut list. Outdoors, build from pressure-treated 2×12 and confirm guard, handrail, and footing rules with local code.

Does this work as a basement stairs calculator?

Yes. Measure from the basement slab to the finished floor above and enter it as total rise; this basement stairs calculator then sizes risers, treads, and stringers like any other flight, and the headroom planner sizes the stairwell opening for the 80-in IRC minimum — the part most basement remodels get wrong.

Free tool by NRTechStudio