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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 90 inch rise

Calculate your stair design with a total rise of 90 inches. Ensure compliance with IRC riser limits of 7.75 inches for safe and comfortable stair construction.

Formula SSC-2026.1

IRC check pass

Risers / treads

12 / 11

Riser inside 4 to 7.75 in

Exact riser

7 1/2 in

190.5 mm

Total run

9 ft 7 1/2 in

2,934 mm

Stringer length

12 ft 2 7/16 in

Order 14 ft 2x12

Incline

37.93°

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
7 ft 6 inRun 9 ft 7 1/2 inθ 37.9° · 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
14 ft 2x1212.83 ft cutend cuts included3 boardsUSD$88.20Source Spec Material / Tool
Stringer delivery weight118 lb—53 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 6 in127 1/2 in119 ft 7 1/2 in14 ftPass
8 ft 0 in137 3/8 in1210 ft 6 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 90 inches, the maximum riser height is limited to 7.75 inches. This means you can have a maximum of 11 risers (90 inches / 7.75 inches = 11.61, rounded down to 11).

Note that headroom is not calculated in this context, but it's essential to ensure that your stairs provide adequate clearance for safe use.

Code reference

IRC Section 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 many risers will I need for a total rise of 90 inches?
For a total rise of 90 inches, you will need a maximum of 11 risers, given the 7.75 inch limit.
Is headroom included in the stair design calculations?
No, headroom is not calculated in this context, but it is important to ensure adequate clearance for safety.

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