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Stair Stringer Calculator
with a Cut Sheet

Enter your floor-to-floor rise. Get the riser and tread layout, your framing square settings, a cut list and a drawing of the stringer to scale.

Scale drawing · Code checks · Works on your phone

The stairs
The materials
Stringer board
Risers
15
Unit rise
7 3/16"
Unit run
10 1/2"
Treads
14
Throat
5 5/16"
Angle
36.3°

Within common limits, with 2R+T at 24.9" and 5 5/16" of throat.

Lower floorUpper floor12345691011121314Unit run 10 1/2"Unit rise 7 3/16"Throat 5 5/16"Stringer 15' 2 7/16"Total run 12' 3"Total rise 9'Bottom cut 6 3/16"Top cut 8 3/16"

Swipe sideways to see the whole drawing.

  • Treads
  • Riser cuts
  • Stringer, to scale
  • Throat
  • Floors
  • Each grid square is 1 ft

Cut sheet

  • Framing square7 3/16" rise × 10 1/2" run
  • Bottom: cut off1"
  • Bottom riser cut6 3/16"
  • Top riser cut8 3/16"
  • Stringer length15' 2 7/16" (order 16' 2x12)

Cut list

  • 3 × stringer2x12 at 16'
  • 14 × tread3' × 11 1/2"
  • 15 × riser3' × 7 3/16"
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For reference only. Check riser, tread, throat and headroom against your local code, and test-fit one stringer before cutting the rest.

How to use the stair stringer calculator

  1. 1

    Measure the total rise

    Measure from the finished lower floor to the finished upper floor, and take it at the actual stair location, since floors aren't always level.

  2. 2

    Set your target

    Enter the riser height you'd like and your tread depth. The calculator rounds to a whole number of risers, then divides the rise evenly between them.

  3. 3

    Mark and cut

    Set your framing square to the unit rise and unit run in the cut sheet, and cut one stringer first to test-fit it.

How stair stringers are calculated

Risers = total rise ÷ target riser height, rounded to a whole number

Unit rise = total rise ÷ risers

Treads = risers − 1, because the top riser lands on the upper floor

Total run = treads × tread depth

Stringer length = √(total rise² + total run²)

For example, a 9' rise with a 7 1/4" target gives 15 risers at 7 3/16" each. With 10 1/2" treads, that's 14 treads, a total run of 12' 3" and a stringer length of 15' 2 7/16", which you'd cut from 16' stock.

What it checks and what it doesn't

These are the common residential limits, based on the 2018 International Residential Code (IRC). The calculator only flags the first two. Your local code may differ, so check it before you build.

ItemLimitFlagged here?
Riser heightNo more than 7 3/4"Yes
Tread depthAt least 10"Yes
Nosing3/4" to 1 1/4" where treads are under 11"No
Stair widthAt least 36"No
HeadroomAt least 6' 8"No

Check nosing, width and headroom yourself. The calculator also won't tell you when a flight is tall enough to need a landing, which is at about 12 feet of rise depending on your code.

It does flag three things that aren't in the table: a riser under 4", and two rules of thumb that aren't code. Those are 2R+T (two risers plus one tread) between 24" and 25" for a comfortable stair, and at least 5" of throat, which is the wood left behind each notch.

Why the top and bottom cuts are different

Once treads are on, the first step would be too tall and the last too short if every notch were the same. So the bottom of the stringer is cut shorter by one tread thickness, which is called dropping the stringer, and the top riser ends up taller by the same amount. Every finished step then matches the unit rise. This assumes the floors at both ends are finished, so adjust if flooring is still to come.

Questions

  • Three is common for a 36" wide stair, but it depends on your tread material and local code. Wider stairs or thinner treads need more.
  • Use a 2x12 for most stairs. Cutting the notches removes a lot of wood, and a 2x10 can leave less than the 5" of throat that's commonly used as a minimum. The calculator warns you if that happens.
  • It's the wood left between the inside corner of a notch and the back edge of the board. That's the part carrying the load, so it can't be cut too thin.
  • The layout works the same way, but measure the rise from the deck surface to the finished landing, and check your local deck code, since exterior stairs can have their own requirements.

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