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Length imperial. Weight lb. Currency USD. Weight uses 1 lb = 0.45359237 kg. Currency converts US-dollar planning prices and does not change volumes, counts, or geometry.

Basement Stair Stringer for a 9 Foot Floor-to-Floor Rise

A 9 ft 0 in floor-to-floor basement stair. Add joist depth if your ceiling is 9 ft and the floors are farther apart.

Formula SSC-2026.1

IRC check pass

Risers / treads

14 / 13

Riser inside 4 to 7.75 in

Exact riser

7 11/16 in

195.9 mm

Total run

10 ft 10 in

3,302 mm

Stringer length

14 ft 1 in

Order 16 ft 2x12

Incline

39.72°

Square 7 11/16 in rise · 10 in run

Stringers @ 16 in

3

Throat 5.14 in on a 2x12

Notched 2x12 side profileLive scaled blueprint
9 ft 0 inRun 10 ft 10 inθ 39.7° · gauges 7 11/16 in × 10 inStandard mount

Rise, run, and the incline are scaled from the live riser and tread. Framing-square gauges match the exact riser and the tread depth.

Bill of materials and shopping list
ItemNetWasteOrderUnit priceLine total
16 ft 2x1214.73 ft cutend cuts included3 boardsUSD$100.80
Stringer delivery weight134 lb—61 kg2.8 lb/ft planning weight—
Side-by-side target riser
TargetRisersExact riserRunAngleCheck
7 in157 3/16 in11 ft 8 in37.6°Pass
7 1/4 in157 3/16 in11 ft 8 in37.6°Pass
7 1/2 in147 11/16 in10 ft 10 in39.7°Pass
7 3/4 in147 11/16 in10 ft 10 in39.7°Pass
Show the deterministic formula

Risers = round(total rise ÷ target rise). Exact riser = total rise ÷ risers, reported to the nearest 1/16 in and in millimeters. Treads = risers − 1. Total run = treads × tread depth.

Diagonal = hypotenuse of stringer rise and total run. A dropped header uses total rise minus landing thickness. Stock is the next 8, 10, 12, 14, 16, 18, 20, or 24 ft board.

Stringers = floor(width ÷ 16) + 1, with a minimum of 2. Throat ≈ 11.25 − (riser × tread) ÷ hypotenuse.

Engineering notes

The preset rise is 108 in, which is 9 ft 0 in from finish floor to finish floor. A room with a 9 ft ceiling is taller than that once you add the floor structure. Measure the actual finish-to-finish rise before you cut. The target is 7.5 in and the tread is 10 in, the IRC minimum. Fourteen equal risers land under 7.75 in. Headroom under the stair and the bulkhead is not calculated.

Code reference

IRC R311.7.5.1 limits risers to 7.75 in and R311.7.5.2 requires at least a 10 in tread. Confirm local amendments, guards, and headroom.

Field questions

Is a 9 foot ceiling the same as a 108 inch stair?
Only if the finish floors are 108 in apart. A 9 ft ceiling plus a joist bay is a taller rise. Type the measured number.
How many risers is 108 inches at 7.5 inches?
108 divided by 7.5 is 14.4, which rounds to 14 risers. Each riser is 108 ÷ 14, just under 7.75 in.
What is the framing-square setting?
The rise gauge is the exact riser and the run gauge is the 10 in tread. Both are printed on the blueprint.