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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 102 inch rise

Calculate your stair rise with a total rise of 102 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

14 / 13

Riser inside 4 to 7.75 in

Exact riser

7 5/16 in

185.1 mm

Total run

11 ft 4 1/2 in

3,467 mm

Stringer length

14 ft 2 3/8 in

Order 16 ft 2x12

Incline

36.77°

Square 7 5/16 in rise · 10 1/2 in run

Stringers @ 16 in

3

Throat 5.26 in on a 2x12

Notched 2x12 side profileLive scaled blueprint
8 ft 6 inRun 11 ft 4 1/2 inθ 36.8° · gauges 7 5/16 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
16 ft 2x1214.81 ft cutend cuts included3 boardsUSD$100.80Source Spec Material / Tool
Stringer delivery weight134 lb—61 kg2.8 lb/ft planning weight—Source Spec Material / Tool

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Side-by-side total rise
Total riseRisersExact riserTreadsRun2x12 stockCheck
8 ft 6 in147 5/16 in1311 ft 4 1/2 in16 ftPass
9 ft 0 in147 11/16 in1311 ft 4 1/2 in16 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 is crucial to adhere to the International Residential Code (IRC) guidelines. For a total rise of 102 inches, the maximum riser height allowed is 7.75 inches. This ensures safety and accessibility in your stair design.

Note that headroom calculations are not included in this assessment, but it is essential to ensure that your stairway provides adequate clearance for safe passage.

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 for a total rise of 102 inches?
To calculate the number of risers, divide the total rise (102 inches) by the maximum riser height (7.75 inches). This gives you approximately 13.06, meaning you would need 14 risers to accommodate the total rise.
Is headroom required in stair design?
Yes, while headroom is not calculated in this specific context, it is important to ensure that your stairway provides adequate clearance for safe passage.

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