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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 84 inch rise

Calculate your stair rise with a total rise of 84 inches while adhering to the IRC riser limit of 7.75 inches. Ensure safety and compliance in your construction project.

Formula SSC-2026.1

IRC check pass

Risers / treads

11 / 10

Riser inside 4 to 7.75 in

Exact riser

7 5/8 in

194.0 mm

Total run

8 ft 9 in

2,667 mm

Stringer length

11 ft 2 7/16 in

Order 12 ft 2x12

Incline

38.66°

Square 7 5/8 in rise · 10 1/2 in run

Stringers @ 16 in

3

Throat 5.07 in on a 2x12

Notched 2x12 side profileLive scaled blueprint
7 ft 0 inRun 8 ft 9 inθ 38.7° · 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
12 ft 2x1211.84 ft cutend cuts included3 boardsUSD$75.60Source Spec Material / Tool
Stringer delivery weight101 lb—46 kg2.8 lb/ft planning weight—Source Spec Material / Tool

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Side-by-side total rise
Total riseRisersExact riserTreadsRun2x12 stockCheck
7 ft 0 in117 5/8 in108 ft 9 in12 ftPass
7 ft 6 in127 1/2 in119 ft 7 1/2 in14 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 a total rise of 84 inches, the maximum riser height allowed is 7.75 inches. This means you can have a maximum of 10 risers (84 inches ÷ 7.75 inches = 10.81, rounded down to 10).

It's important to note that headroom calculations are not included in this assessment, but should be considered separately for safety and comfort.

Code reference

IRC Section R311.7 - Stairways

Field questions

What is the maximum riser height according to the IRC?
The maximum riser height allowed by the IRC is 7.75 inches.
How many risers can I have for a total rise of 84 inches?
For a total rise of 84 inches, you can have a maximum of 10 risers.
Is headroom included in the stair rise calculation?
No, headroom is not calculated in the stair rise assessment and should be considered separately.

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