Updated for 2026 IRC Building Code Standards

Stair Rise, Run & Stringer Calculator

Calculate code-compliant stair geometry including exact riser height, tread count, horizontal run footprint, 2x12 stringer cut length, and incline angle with instant real-time feedback.

Staircase Input Dimensions

Live Interactive Calculation
in
Finished lower floor to finished upper floor (e.g., 9 ft = 108").
in
IRC Maximum: 7.75". Ideal ergonomic target: 7.0" to 7.5".
in
IRC Minimum: 10.0". Standard residential: 10.5" to 11.0".
Standard Heights:
Calculated Staircase Specifications IRC Section R311.7 Standard
Steps (Risers)
14 Risers
Exact: 7.714" rise
Treads (Steps)
13 Treads
10.5" tread depth
Total Run Footprint
136.5"
11.38 ft horizontal
Stringer Cut Length
174.1"
14.5 ft diagonal
Incline Angle
38.4°
✓ IRC Code Pass
Comfort Rule (2R + T): 25.9" — Ideal Stride Comfort
Recommended Lumber: Order 16 ft 2x12 boards

International Residential Code (IRC) Stair Guidelines

Building a safe, code-compliant staircase requires precise adherence to the International Residential Code (IRC R311.7). Uniformity is the single most critical safety requirement: the greatest riser height within any flight of stairs cannot exceed the smallest by more than 3/8 inch (9.5 mm).

Core Residential Stair Specifications

Stair Component IRC Code Requirement Ergonomic Best Practice
Riser Height Maximum 7-3/4 inches (196 mm) 7.0 to 7.5 inches
Tread Run Minimum 10.0 inches (254 mm) 10.5 to 11.0 inches
Stair Width Minimum 36 inches clear width 38 to 42 inches
Headroom Clearance Minimum 6 ft 8 in (80 inches) 7 ft 0 in (84 inches)
Handrail Height 34 to 38 inches vertically from tread 36 inches
Stringer Lumber 2x12 dimensional lumber with 3.5" throat Solid No. 2 Douglas Fir or SPF

The Ergonomic Comfort Rule (2R + T)

For centuries, carpenters and architects have relied on Blondel's Formula to verify that stair proportions provide a natural, effortless walking stride:

2 × Rise(in) + 1 × Tread(in) = 24 to 25.5 inches

If your calculated rise is 7.25 inches, the ideal tread depth is: 25 - (2 × 7.25) = 10.5 inches.

Stringer Board Selection & Cutting

Stair stringers bear the entire structural load of the staircase. Always use 2x12 No. 2 dimensional lumber free of large knots. After cutting your riser and tread notches, ensure the uncut throat of the stringer retains at least 3.5 inches of continuous solid lumber. For exterior decks or stairs wider than 36 inches, install stringers every 16 inches on center (minimum 3 stringers).

Frequently Asked Questions About Stair Framing

What is the maximum stair riser height allowed by building code?
Under Section R311.7.5.1 of the International Residential Code (IRC), the maximum riser height for residential stairs is 7-3/4 inches (196 mm). Commercial staircases governed by the IBC allow a maximum rise of 7 inches.
What is the minimum tread depth for stairs?
The IRC mandates a minimum tread depth of 10 inches (254 mm) measured horizontally from the nosing of one step to the nosing of the next. When treads are less than 11 inches, a 3/4-inch to 1-1/4-inch nosing projection is required.
What is the standard rule for comfortable stair proportions?
The traditional rule of thumb (Blondel formula) states that 2 × Rise + 1 × Run should equal between 24 and 25.5 inches. For example, a 7.25-inch rise with a 10.5-inch run equals 25 inches, representing the ergonomic gold standard.
What lumber size is required for cutting stair stringers?
Stair stringers must be cut from 2x12 dimensional lumber. After cutting out the notches for the treads and risers, building codes require at least 3.5 inches of solid uncut wood (the stringer throat) along the back edge to maintain structural integrity.
How much headroom is required above a staircase?
The IRC requires a minimum headroom clearance of 6 feet 8 inches (80 inches / 2,032 mm) measured vertically from the leading edge of the stair tread nosing to the ceiling plane directly above.
Why is the bottom riser cut shorter than the other risers?
When installing finished tread material (such as 1-inch oak or 5/4-inch deck boards), you must deduct the thickness of the tread from the bottom of the stringer. If you do not trim the bottom of the stringer, your first step will be too tall and your top step will be too short, creating a dangerous code violation.
When is a stair landing required by building code?
Under the IRC, a floor or landing is required at the top and bottom of each stairway. Additionally, a flight of stairs cannot have a vertical rise greater than 147 inches (12 feet 3 inches) between floor levels or landings without an intermediate landing.
What is the difference between open and closed stringers?
An open (cut) stringer has triangular saw cuts where the treads and risers rest on top of the board. A closed (housed) stringer has routed grooves or cleat supports on the inside face where the treads and risers slide into the wood, concealing the step edges.