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Woodwork Calculator

Stair Stringer Calculator

Lay out a stringer before you pick up the saw. Get the stringer length, framing square settings, throat depth and first riser cut, with every notch drawn on the board.

Your numbers

in

Top of the deck or floor to where the bottom tread lands.

in

Two 5/4×6 deck boards with a gap is about 11 1/4″.

in

Sets the first riser cut. 1″ for 5/4 decking, 1 1/2″ for 2× treads.

in

Outside to outside of the stringers.

More options
in

16″ for wood and 5/4 treads. Many composite treads need 12″.

in
in

Leave blank for the fewest risers that pass.

Stringer length—
Plate 03Stringer on the board, then Detail A at the bottom: the drop, the throat and the square.
Risers—
Riser cut—
Throat—

Cut list

Board to buy—
Stringers for this width—
Riser cut (unit rise)—
Tread cut (unit run)—
First riser cut—
Square: tongue / blade—
Level cut angle—
Plumb cut angle—
Diagonal per step—
Notch depth—
Total run—

Checks

    Laying out a stringer with a framing square

    The calculator does the arithmetic, but the cut still happens on a real board. This is the method most carpenters use, and it's how the plate is drawn.

    1. Pick a straight board and find the crown. Sight down the edge. Lay the board crown up so the stringer settles flat under load instead of sagging further.
    2. Set the stair gauges. Clamp one gauge on the tongue (the narrow leg) at your riser height and one on the blade at your tread depth, both on the outside edge.
    3. Step it off. Hold the gauges tight to the top edge and trace along the tongue and blade. Slide the square up so the blade mark meets the last tongue mark, and repeat once for every riser.
    4. Drop the stringer. Measure the first riser and cut it shorter by the thickness of one tread. The calculator lists this as the first riser cut.
    5. Mark the bottom level cut and top plumb cut. The level cut sits on the landing pad; the plumb cut bears against the deck rim or hangs in a hanger.
    6. Cut, then finish by hand. Run a circular saw up to the lines but not past them, and finish each inside corner with a handsaw or jigsaw. Overcuts weaken the throat.

    Cut one stringer, test it in place, then use it as the pattern for the rest.

    The throat is what holds the stair up

    Every notch takes wood out of the stringer. What's left between the inside corner of a notch and the bottom edge is the throat, and it carries the whole load. The deeper the notch, the thinner the throat.

    notch depth = riser × tread ÷ √(riser² + tread²)
    throat = board width − notch depth

    For a 7″ riser and 11 1/4″ tread, the notch is 5.94″ deep. A 2×12 is 11 1/4″ wide, which leaves a 5 5/16″ throat. That's why 2×12 is the default for cut stringers and why the American Wood Council's deck guide (DCA 6) shows 5″ of throat as the minimum. If the calculator flags your throat, go to wider stock or support the stringer at mid-span.

    Stringer length and what to buy

    The stringer length here is measured along the board, from the toe of the bottom level cut to the far end of the top plumb cut. It's slightly more than risers × diagonal because of the cuts at each end. The calculator then rounds up to the next stock length: 6, 8, 10, 12, 14, 16, 18 or 20 feet.

    Long stringers need support. The DCA 6 guide limits how far a cut stringer can span between supports, and a long run often needs a post and beam under the middle or a landing partway down. Check the guide or your inspector before you plan a single 16-footer.

    Mistakes worth avoiding

    • Forgetting the drop. The bottom step ends up an inch too tall and the top step an inch short. Inspectors measure both.
    • Measuring rise at the house. If the ground slopes away, the real rise at the landing is bigger. Measure where the stairs land.
    • Untreated stringers on concrete. Use lumber rated for ground contact if the stringer touches the pad, or hold it off the concrete.
    • Cutting into the stringer from the bottom edge. Don't. Cut from the top edge only and keep the throat intact.

    Need to compare riser counts or check headroom first? Use the full stair calculator, then come back with the numbers.

    Questions people ask

    How long of a board do I need for a stair stringer?

    Roughly the number of risers times the diagonal of one step, plus a few inches for the top and bottom cuts. For 7″ risers and 11″ treads the diagonal is about 13″, so a 5-step deck stair needs about 5′ 6″ of board and a 2×12×8 covers it with room to spare. The calculator gives you the exact length measured along the board and the shortest standard length to buy.

    Should I use 2×10 or 2×12 for stringers?

    Use 2×12 for cut stringers. A 2×10 is 9 1/4″ wide, and after a typical 7″ × 11″ notch it leaves only about 3 3/8″ of wood. The AWC deck guide (DCA 6) shows cut stringers with at least 5″ left at the throat, which a 2×12 gives you at normal riser heights. A 2×10 only works if it carries treads in cleats or hangers without notches.

    How many stringers do I need?

    Space them so the treads don't bounce. For 5/4 decking or 1″ wood treads, keep stringers at 16″ on center or closer; check your decking maker's span for composite treads, which are often 12″. A 36″ wide stair at 16″ spacing takes 4 stringers. The calculator works this out from your stair width.

    What does "dropping the stringer" mean?

    Every riser is measured to the top of a finished tread, but the stringer is cut where the bottom of the tread sits. If you cut the first riser full height, the bottom step comes out one tread-thickness too tall. So you shorten the first riser cut by the tread thickness. The plate shows this in Detail A, and the result calls it the first riser cut.

    What are the cut angles on a stair stringer?

    The level cut at the bottom and the plumb cut at the top sit at the stair angle and its complement. For 7 1/2″ risers and 10″ treads the stair angle is 36.9°, so the plumb cut is 53.1° off the board edge. You don't need a protractor: set stair gauges on a framing square at the riser and tread and mark along the tongue and blade.

    Is this a stairs calculator too?

    Yes. It runs the same riser and tread math as the stair calculator and adds the stringer layout on top. If you only need riser counts, total run and the code check, the stair calculator is quicker to read.

    Put this calculator on your site

    Lumber yards, sawmills and woodworking blogs are welcome to embed it for free. Paste the code into any page; it loads the calculator only, without our header or articles.