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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.

Stringer layout for a 126 inch rise

Use our stair design calculator to determine total rise and ensure compliance with the IRC riser limit of 7.75 inches. Headroom calculations are not included.

Formula SSC-2026.1

IRC check pass

Risers / treads

17 / 16

Riser inside 4 to 7.75 in

Exact riser

7 7/16 in

188.3 mm

Total run

14 ft 0 in

4,267 mm

Stringer length

17 ft 6 in

Order 20 ft 2x12

Incline

36.87°

Square 7 7/16 in rise · 10 1/2 in run

Stringers @ 16 in

3

Throat 5.19 in on a 2x12

Notched 2x12 side profileLive scaled blueprint
10 ft 6 inRun 14 ft 0 inθ 36.9° · gauges 7 7/16 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
20 ft 2x1218.12 ft cutend cuts included3 boardsUSD$126.00Source Spec Material / Tool
Stringer delivery weight168 lb—76 kg2.8 lb/ft planning weight—Source Spec Material / Tool

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Side-by-side total rise
Total riseRisersExact riserTreadsRun2x12 stockCheck
10 ft 6 in177 7/16 in1614 ft 0 in20 ftPass
11 ft 0 in187 5/16 in1714 ft 10 1/2 in20 ftPass
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 stairs, it's crucial to adhere to the International Residential Code (IRC) which specifies a maximum riser height of 7.75 inches. For a total rise of 126 inches, this means you would need to calculate the number of risers required to meet this limit.

Note that headroom is not calculated in this context, but it is an important consideration for overall stair safety and usability.

Code reference

IRC R311.7.5

Field questions

What is the maximum riser height allowed by the IRC?
The maximum riser height allowed by the IRC is 7.75 inches.
How do I calculate the number of risers needed for a total rise of 126 inches?
To calculate the number of risers, divide the total rise by the maximum riser height. For a total rise of 126 inches, you would divide by 7.75 inches, resulting in approximately 16.26 risers, which means you would need 17 risers to meet the height requirement.
Is headroom included in the stair design calculations?
No, headroom is not calculated in this context, but it is essential to ensure that there is adequate headroom for safe use of the stairs.

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