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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 114 inch rise

Learn about stair rise calculations, including the IRC limit of 7.75 inches for risers. Ensure your stair design meets safety standards.

Formula SSC-2026.1

IRC check pass

Risers / treads

15 / 14

Riser inside 4 to 7.75 in

Exact riser

7 5/8 in

193.0 mm

Total run

12 ft 3 in

3,734 mm

Stringer length

15 ft 6 in

Order 18 ft 2x12

Incline

37.79°

Square 7 5/8 in rise · 10 1/2 in run

Stringers @ 16 in

3

Throat 5.09 in on a 2x12

Notched 2x12 side profileLive scaled blueprint
9 ft 6 inRun 12 ft 3 inθ 37.8° · gauges 7 5/8 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 2x1216.14 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 total rise
Total riseRisersExact riserTreadsRun2x12 stockCheck
9 ft 6 in157 5/8 in1412 ft 3 in18 ftPass
10 ft 0 in167 1/2 in1513 ft 1 1/2 in18 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) guidelines. For risers, the maximum height allowed is 7.75 inches. In your case, with a total rise of 114 inches, you will need to calculate the number of risers to ensure compliance with this limit.

Note that headroom calculations are not included in this assessment, but they are essential for overall safety and comfort in stair design.

Code reference

IRC 2018, Section R311.7

Field questions

What is the maximum riser height according to the IRC?
The maximum riser height according to the IRC is 7.75 inches.
How do I calculate the number of risers needed for a total rise of 114 inches?
To calculate the number of risers, divide the total rise (114 inches) by the maximum riser height (7.75 inches). This will give you the number of risers needed to comply with the IRC.
Is headroom considered in the riser calculation?
No, headroom is not calculated in the riser height assessment, but it is important for overall stair safety and comfort.

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