Design & layout

Stair calculator with diagram

A stair calculator with diagram gives you more than numbers — it draws the flight so you can see where every dimension lands before you touch a saw.

Type in the total rise and a target riser height, and this tool returns the riser and tread count, then draws a side-elevation and a stringer layout using those exact numbers.

Diagrams matter because a stair is three-dimensional and a spreadsheet of numbers hides mistakes a drawing exposes in a glance — a run that's too short, a top riser that doesn't match, a nosing that overlaps the wrong line.

Stair calculator with diagram

Finished floor to finished floor, measured plumb.

The riser height you would like; the calculator rounds to a whole number of equal risers.

Nosing to nosing. Nosing overhang is not included.

15 risers of 7 3/16″, 14 treads of 10 1/2″, total run 147″, angle 34.4°, stringer 182 7/16″.

Risers

15

Riser height

7 3/16″

Treads

14

Tread depth

10 1/2″

Total run

12′ 3″

Stair angle

34.4°

Stringer length

15′ 2 7/16″

2R + T

24 7/8″

comfort ≈ 24–25 in

Run + nosing

12′ 4″

Stair side-elevation diagramSide elevation of a stair with 15 risers of 7 3/16″ and 14 treads of 10 1/2″, total rise 108″, total run 147″, angle 34.4°.UP108″147″7 3/16″10 1/2″34.4°Stringer 182 7/16″
Side elevation of the calculated flight (auto-scaled).
Stringer layout diagramCut stringer layout with 15 notches, rise per step 7 3/16″, run per step 10 1/2″, overall layout length 182 7/16″.Top plumb cut 7 3/16″Bottom riser cut 6 3/16″ (dropped 1″)12345678910111213147 3/16″10 1/2″Throat 5 5/16″Notch depth 5 15/16″Layout 182 7/16″
  1. Set the framing square to 7 3/16″ on the tongue (rise) and 10 1/2″ on the blade (run), and clamp stair gauges at those marks.
  2. Starting near one end of the board, walk the square up the stock, tracing each riser and tread line to lay out all 15 notches.
  3. Cut the top of the stringer with a plumb cut of 7 3/16″ so it lands flush against the header/upper floor framing.
  4. Drop the bottom of the stringer by the tread thickness (1″) so the first riser finishes at 6 3/16″ once the bottom tread is installed.
  5. Cut the bottom level cut so the stringer sits flat on the floor, then cut out each notch, leaving at least 5 5/16″ of solid throat material behind the notch.
  6. Use this stringer as a pattern to mark 182 7/16″-long (2x12) stock for the remaining stringers, checking each one against the pattern before cutting.
Cut layout for one stringer. Confirm on the board before cutting.

Need presets, code profiles, printing or sharing? Continue with these values.

Open in the full stair calculator

Why a diagram catches what numbers hide

A calculator can tell you riser height is 7.2 in and tread depth is 10.5 in and everything can still look correct on paper while being wrong on the wall.

The drawing shows how those numbers stack against the actual opening — the header, the floor thickness above, the wall the stringer lands against. A number sheet won't show you that the top riser is 3/8 in taller than the rest because nobody accounted for finish flooring.

Framers who skip the drawing and work from a number list are the ones who cut fourteen stringers before noticing the run is six inches longer than the stairwell.

How to read the side-elevation diagram

The side-elevation is the profile view you'd see standing at the bottom of the stair looking at it from the side. It shows the full rise as a vertical line on the left, the full run as a horizontal line along the bottom, and each step as a small zigzag between them.

Every riser line is vertical, every tread line is horizontal, and the diagonal line connecting the nosings is the walking line — roughly where your foot lands as you climb.

The nosing line is drawn slightly forward of the riser face on closed-riser stairs, usually by about 1 in, and this calculator's default reflects that so the drawing matches a typical residential tread overhang.

  • Vertical segments = riser faces, each labeled with height
  • Horizontal segments = tread runs, each labeled with depth
  • Dashed diagonal = the nosing line, useful for checking headroom clearance
  • Total rise and total run are labeled at the outer edges

How to read the stringer diagram

The stringer diagram is the cutting pattern — the sawtooth shape you'd actually mark on a 2x12 with a framing square. It shows the same riser and tread dimensions as the side-elevation, but oriented as a single board outline instead of a stacked profile.

Plumb cuts (the vertical faces you cut against the riser) and level cuts (the horizontal faces you cut for the tread to sit on) are the two cut types every notch needs, and the diagram distinguishes them so you don't confuse the framing square angle.

The bottom of the diagram shows the drop — how much material is trimmed off the first cut so the bottom riser matches the others once the stringer sits on the finished floor.

Printing the drawing for the job site

Once the numbers look right, print the diagram and take it to the site instead of re-typing values into a phone with cold hands and sawdust everywhere.

A printed side-elevation taped inside the stairwell lets a second carpenter frame the header and rough opening from the same drawing you used to cut stringers, which keeps the whole crew working from one source of truth.

  1. Measure total finished rise (subfloor to subfloor, or slab to finished floor) and enter it.
  2. Enter your target riser height — 7.25 in is a common residential starting point.
  3. Check the riser and tread the calculator returns; adjust nosing if your tread stock has a different overhang.
  4. Review the side-elevation for headroom and the stringer diagram for cut angles.
  5. Print or screenshot both diagrams before you start cutting.

Mistakes a diagram exposes

The most common one is a mismatched top riser: if the finished floor thickness at the top isn't subtracted from total rise before you run the numbers, the diagram will show a top step that's visibly taller than the rest.

The second is forgetting the stringer drop. Without dropping the bottom of the stringer by one riser thickness, the diagram (and the real stair) ends up one full riser too tall.

A diagram also flags an impossible run early — if your available floor space is 10 ft but the drawn total run is 12 ft 3 in, you'll see the overhang before you've cut a single board.

Diagram element vs. what it tells you
Diagram elementWhat to check
Riser labelsAre all risers within 3/8 in of each other?
Total run labelDoes it fit the available floor space?
Nosing lineDoes it clear headroom below the floor above?
Stringer dropIs the bottom cut short by one riser thickness?

When a 3D or visual view helps most

A flat side-elevation is enough for a straight run, but if you're picturing an open-riser stair, a stair with a landing, or how treads will look against an existing wall, a visual or rendered view helps clients understand the design faster than a dimension table.

For turned stairs, use the L-shaped or U-shaped stair calculator on this site, which draws the landing and both flights so you can see how the turn actually lines up.

Worked math

Worked example: 108 in rise with a diagram check

Given

  • Total rise: 108 in
  • Target riser: 7.25 in
  • Nosing: 1 in

Steps

  1. Risers = round(108 / 7.25) = round(14.9) = 15
  2. Actual riser height = 108 / 15 = 7.2 in
  3. Treads = 15 − 1 = 14 (flush top step)
  4. Total run = 14 × 10.5 in = 147 in (12 ft 3 in)
  5. Stringer length = √(108² + 147²) = √(11664 + 21609) = √33273 ≈ 182.4 in

The diagram draws 15 risers at 7.2 in, 14 treads at 10.5 in, a 147 in run, and a stringer close to 182.4 in long — check that run against your actual floor space before cutting.

Questions

Stair calculator with diagram FAQ

Is the stair calculator with diagram free to use?

Yes. Enter your rise and riser height and the calculator returns the full riser/tread breakdown and both diagrams with no signup required.

Can I print the diagram for the job site?

Yes, use your browser's print function on the results page. The side-elevation and stringer diagram both print at a readable size for reference while framing.

What does the nosing line on the diagram mean?

It marks the leading edge of the tread where it overhangs the riser below, typically about 1 in on closed-riser residential stairs. It's separate from the riser face line shown behind it.

Does the diagram show plumb and level cuts for stringers?

Yes, the stringer diagram distinguishes the vertical plumb cuts (against the riser) from the horizontal level cuts (under the tread) so you can set your framing square correctly.

Can this calculator draw a 3D view of my stair?

This tool draws a 2D side-elevation and stringer diagram, which is normally all you need to cut and frame a straight stair. For turned or landing stairs, the L-shaped and U-shaped stair calculators add a plan-view layout.

Why does my drawn stair look different from what I expected?

Usually because the total rise wasn't measured to the finished floor, or riser count was rounded differently than expected. Re-check your rise measurement and target riser before trusting the drawing.

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Important

Disclaimer

StairCalculator.app provides calculations and educational information. Building codes and construction requirements vary by location. Verify final dimensions and requirements with the applicable local building authority or qualified professional.

Calculations are only as accurate as the measurements and inputs you provide; small errors in measuring total rise or floor thickness can shift the results, so double-check field measurements before cutting materials, and treat every reference value and worked example on this site as illustrative rather than a guarantee of code compliance.