SyntaxFlow

Wood · Stairs

Stair calculator

Risers = floor-to-floor height ÷ the riser you want, rounded up; then riser = height ÷ risers, and one tread fewer than risers. 2700 mm floor to floor with risers of at most 180 mm: 15 risers of 180 mm and 14 treads. A 260 mm going gives 2R + G = 620 mm, the comfortable step, a pitch of 34.7° and 3640 mm of total going. Pick the rule (England, the US or Spain) and the page checks every limit.

The stair
The going (optional)
—
Risers
—
Riser height
— mm
Going (tread)
— mm
Total going
— mm
Pitch
— °
2R + G
— mm
Making the stringers? The panel cutting optimiser lays the treads out on boards, and the linear cutting optimiser the steel for a metal stair.

Everything runs in your browser. Nothing is uploaded and nothing is stored.

How this is calculated

risers n = ceil(height / riser wished) (at least 2) riser R = height / n treads = n − 1 (the top one is the floor) going G = room for the going / treads, or the going you type, or what makes 2R + G = 620 mm (never below the rule's minimum) total going = G × treads pitch = atan(R / G) step rule = 2R + G (comfortable: 600–640 mm) stringer = √(total going² + height²) (pitch line, before cutting allowances)

The limits checked: England (Approved Document K, private stair) rise at most 220 mm, going at least 220 mm, pitch at most 42°, 550 ≤ 2R + G ≤ 700 mm. US (IRC R311.7.5) riser at most 7¾ in, tread depth at least 10 in. Spain (CTE DB-SUA 1, 4.2.1) general use: riser 130–185 mm, going at least 280 mm, 540 ≤ 2R + G ≤ 700 mm; inside a dwelling: riser at most 200 mm, going at least 220 mm.

What this page does not do

Questions people ask

How do you calculate the number of stairs?
Divide the floor-to-floor height by the riser height you want and round up: 2700 mm ÷ 180 mm = 15 risers of exactly 180 mm. There is one tread fewer than risers, 14, because the top step is the upper floor.
What is the 2R + G rule for stairs?
Twice the riser plus the going should be about 600 to 640 mm, the length of a comfortable stride: 2 × 180 + 260 = 620 mm. England's Approved Document K requires 550 to 700 mm and Spain's CTE 540 to 700 mm for general use.
What are the maximum riser and minimum tread in the US?
Under the International Residential Code, R311.7.5: risers at most 7¾ inches and treads at least 10 inches deep, measured nosing to nosing.