stairstringerchart

Stair stringer for a 90" floor-to-floor rise

A 90" floor-to-floor stair needs 12 risers at 7-1/2" and 11 treads: a 110" run on 10" treads, cut from 12 ft 2x12s with 5-1/4" of throat. Gentler: 13 risers at 6-15/16" on 11" treads, a 132" run (2R + T = 24.8").

Drawing the layout…
Quick-snap total rise
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finished to finished

fewest legal

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nosing to nosing

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3/4–1-1/4 under 11″

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o.c.

DCA 6 max 18

90" total rise

12 risers at 7-1/2"
11 treads, 110" run

Unit rise
7-1/2"
7.500" · 191 mm
Unit run
10"
10.000" · 254 mm
Bottom riser cut
6-7/16"
7-1/2" − 1-1/16" tread
Stringer board
12 ft
4 × 2x12, cut 11' 9-3/8"
  • Max riser 7-3/4"IRC R311.7.5.1
  • Min tread 10"IRC R311.7.5.2
  • Blondel 2R + T = 24"–26"Comfort rule
  • Stringer throat ≥ 5"AWC DCA 6 Fig. 28
  • Cut stringer span ≤ 6'-0"AWC DCA 6 Fig. 28

Hook the tape once at mark 0, where the bottom riser line meets the top edge of the 2x12, and pencil every mark from that same hook. Each step is 12-1/2" along the edge; marks are rounded once each, so nothing drifts.

0 / 12 marked
Running tape marks for this layout, from one hook of the tape
Done#MarkTapeDecimalmm
0Bottom riser line0"0.000"0 mm
1Tread 1 nose12-1/2"12.500"318 mm
2Tread 2 nose25"25.000"635 mm
3Tread 3 nose37-1/2"37.500"953 mm
4Tread 4 nose50"50.000"1270 mm
5Tread 5 nose62-1/2"62.500"1588 mm
6Tread 6 nose75"75.000"1905 mm
7Tread 7 nose87-1/2"87.500"2223 mm
8Tread 8 nose100"100.000"2540 mm
9Tread 9 nose112-1/2"112.500"2858 mm
10Tread 10 nose125"125.000"3175 mm
11Top plumb cut137-1/2"137.500"3493 mm

Then from mark 0 measure 6-7/16" down the bottom riser line and square across for the level heel cut.

Option A or Option B for 90"

Shortest run, steepest legal stair

Option A · fewest risers

Risers
12 × 7-1/2"
Treads
11 × 10"
Total run
110" · 9' 2"
Angle · 2R + T
36.9° · 25.00"
Step-off
12-1/2"
Throat (2x12)
5-1/4"
Stringer board
12 ft · cut 11' 9-3/8"
Mid supports
1 (span over 6 ft)

Gentler climb, longer run

Option B · one more riser

Risers
13 × 6-15/16"
Treads
12 × 11"
Total run
132" · 11' 0"
Angle · 2R + T
32.2° · 24.85"
Step-off
13"
Throat (2x12)
5-3/8"
Stringer board
14 ft · cut 13' 3-1/8"
Mid supports
1 (span over 6 ft)

From your ceiling height

Floor to floor = ceiling + joists + subfloor. With 12-1/2" of floor framing and ceiling, the stairwell opening over Option A starts 0" from the bottom riser and runs 9' 2" for 6'-8" of headroom.

Floor to floor

90"

12 risers at 7-1/2" · 90" sheet →

90" rise tape marks 32 rows

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05 / Field guide

90" of rise,
12 risers.

This sheet works a 90" floor-to-floor rise two ways. Option A uses the fewest risers the IRC allows, 12 at 7-1/2" on 10" treads. Option B adds one riser and uses 11" treads for a gentler 6-15/16" step. Both come with hook-once tape marks for the stringer edge, below the calculator.

Option A: 12 risers at 7-1/2"

90" ÷ 7.75 = 11.61, rounded up to 12 risers, each 7-1/2" (7.5000", 190.5 mm). On 11 treads of 10" the stair lands 110" (9' 2") out from the upper floor edge and climbs at 36.9°; 2R + T scores 25.00".

Each step is 12-1/2" along the stringer edge. Notches cut 6" deep, leaving 5-1/4" of throat in a 2x12; the cut length is 11' 9-3/8", so buy 12 ft stock.

Option B: 13 risers at 6-15/16"

One more riser drops each step to 6-15/16" (6.9231"). With 11" treads the run grows to 132" (11' 0"), 22" more than Option A, and the angle eases to 32.2° with 2R + T at 24.85".

The diagonal is 13", the throat 5-3/8", and the stringer cut length 13' 3-1/8" (14 ft).

Cutting the bottom and the top

Take the tread thickness off the bottom riser: 7-1/2" becomes 6-1/2" under 1" 5/4 or composite treads, 6" under 1-1/2" 2x6 treads and 6-7/16" under 1-1/16" oak treads. Every finished step then measures 7-1/2".

At the top, the last tread notch sits 8-1/2" below the finished floor for 1" treads. Seated on a 2x header, the header top goes 16-1/4" below the finished floor with oak treads.

Code notes for this stair

12 risers means a handrail is required (four or more risers), 34" to 38" above the nosings.

The 110" run is more than the 6'-0" a cut stringer may span under DCA 6: set 1 4x4 support post on 12" footings under the stringers, or build a landing.

Headroom and the stairwell opening

The IRC wants 6'-8" measured plumb from the nosing line. With 12-1/2" of floor framing and ceiling, the opening above Option A must start 0" out from the bottom riser and run 110" (9' 2") to the top of the stair.

Floor to floor is the ceiling height plus the joists and subfloor: 90" is a 78" ceiling over 2x12 joists, or 80" over 2x10s.

Questions

Answered plainly.

01How many stairs do I need for a 90 inch rise?+

12 risers at 7-1/2" with 11 treads, the fewest the IRC allows. For an easier climb, 13 risers at 6-15/16" with 12 treads.

02How long are the stringers for a 90" stair?+

About 11' 9-3/8" along the board for Option A, so 12 ft 2x12s; Option B needs 13' 3-1/8" (14 ft).

03How far out does a 90" stair go?+

110" (9' 2") on 10" treads, or 132" (11' 0") on 11" treads with 13 risers. Leave a landing at least 36" deep beyond the last riser.

04What ceiling height gives a 90" floor-to-floor rise?+

A 78" ceiling over 2x12 joists and a 3/4" subfloor, or 80" over 2x10s.

05Can I cut 90" stair stringers from a 2x10?+

Not under AWC DCA 6, which asks for 2x12s. A 2x10 would keep only 3-1/4" of throat on Option A, under the 5" minimum.

06What if my rise is between 84" and 96"?+

Enter your exact rise in the calculator. 84" takes 11 risers and 96" takes 13; the riser count changes wherever the rise passes a multiple of 7-3/4".

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