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Stair layout for a 120 inch rise

Calculate your stair design with a total rise of 120 inches, adhering to IRC guidelines of 7.75 inch risers and 10 inch treads. Ensure safety and compliance in your construction project.

Formula SSC-2026.1

IRC check pass

Risers / treads

16 / 15

Riser inside 4 to 7.75 in

Exact riser

7 1/2 in

190.5 mm

Total run

13 ft 1 1/2 in

4,001 mm

Stringer length

16 ft 6 in

Order 18 ft 2x12

Incline

37.30°

Square 7 1/2 in rise · 10 1/2 in run

Stringers @ 16 in

3

Throat 5.15 in on a 2x12

Notched 2x12 side profileLive scaled blueprint
10 ft 0 inRun 13 ft 1 1/2 inθ 37.3° · gauges 7 1/2 in × 10 1/2 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 totalSource Spec Material / Tool
18 ft 2x1217.13 ft cutend cuts included3 boardsUSD$113.40Source Spec Material / Tool
Stringer delivery weight151 lb—69 kg2.8 lb/ft planning weight—Source Spec Material / Tool

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Side-by-side target riser
TargetRisersExact riserRunAngleCheck
7 in177 1/16 in14 ft 0 in35.5°Pass
7 1/2 in167 1/2 in13 ft 1 1/2 in37.3°Pass
7 3/4 in158 in12 ft 3 in39.2°Warning
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

When designing a stair with a total rise of 120 inches, you must adhere to the International Residential Code (IRC) guidelines, which stipulate a maximum riser height of 7.75 inches and a minimum tread depth of 10 inches. This ensures safety and accessibility in residential staircases.

It's important to note that headroom is not calculated in this design, but it should still be considered to meet safety standards.

Code reference

IRC guidelines for stair design

Field questions

What is the maximum riser height allowed by IRC?
The maximum riser height allowed by the IRC is 7.75 inches.
What is the minimum tread depth required for stairs?
The minimum tread depth required for stairs according to the IRC is 10 inches.
Is headroom calculated in stair design?
No, headroom is not calculated in the stair design, but it should be considered for safety.
How do I calculate the number of risers for a 120 inch total rise?
To calculate the number of risers, divide the total rise (120 inches) by the maximum riser height (7.75 inches). This gives you approximately 15.48, so you would round up to 16 risers.

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