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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 72 inch rise

Calculate your stair design with a total rise of 72 inches. Ensure compliance with the IRC riser limit of 7.75 inches for safe and comfortable stairways.

Formula SSC-2026.1

IRC check pass

Risers / treads

10 / 9

Riser inside 4 to 7.75 in

Exact riser

7 3/16 in

182.9 mm

Total run

7 ft 10 1/2 in

2,400 mm

Stringer length

9 ft 10 13/16 in

Order 12 ft 2x12

Incline

37.30°

Square 7 3/16 in rise · 10 1/2 in run

Stringers @ 16 in

3

Throat 5.31 in on a 2x12

Notched 2x12 side profileLive scaled blueprint
6 ft 0 inRun 7 ft 10 1/2 inθ 37.3° · gauges 7 3/16 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
12 ft 2x1210.50 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
6 ft 0 in107 3/16 in97 ft 10 1/2 in12 ftPass
6 ft 6 in107 13/16 in97 ft 10 1/2 in12 ftWarning
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 with a total rise of 72 inches, it's essential to adhere to the International Residential Code (IRC) limit of 7.75 inches for riser height. This ensures that your stairs are safe and comfortable for use.

Note that headroom is not calculated in this total rise measurement, but it is a critical factor in stair design for user safety and accessibility.

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 is total rise calculated in stair design?
Total rise is calculated by measuring the vertical distance from the finished floor of the lower level to the finished floor of the upper level.
Is headroom included in the total rise calculation?
No, headroom is not included in the total rise calculation; it is a separate consideration in stair design.

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