Stair Calculator

Calculate stair dimensions instantly. Get riser height, tread depth, stringer length, stair angle, and building code compliance with an interactive diagram.

Stair Calculation

Total Rise: 108 in

Number of steps
14steps
7.71 in rise × 10.5 in runCode Compliant

Stair Profile

Side view with dimensions — updates as you adjust inputs

7.71 in10.5 in36.3°

14 steps (12 shown) · Total Run: 136.5 in

Stair Dimensions

All measurements for your staircase

Riser Height
7.71 in
14 risers × 7.71 in = 108 in total rise
Tread Depth (Run)
10.50 in
13 treads × 10.5 in = 136.5 in total run
Stringer Length
174.06 in
Diagonal: √(108² + 136.5²)
Stair Angle
36.3°
30°–37° ideal range

Comfort Score

Based on the 2R + T rule (Blondel's formula)

25.93

2R + T

good

Good comfort (23–26"). Close to ideal.

2 × 7.71″ + 10.5″ = 25.93"

Building Code Compliance

Partial check — riser, tread

Riser Height

7.71 in · Max 7.75 in (IRC R311.7)

Tread Depth

10.5 in · Min 10 in (IRC R311.7)

Does not check headroom, handrail, or step-to-step variance. Always verify with your local building department — codes vary by jurisdiction.

Calculation Breakdown

Step-by-step calculation details

MeasurementValue
Total Rise108 in
Number of Steps14
Riser Height7.71 in
Tread Depth10.5 in
Total Run136.5 in
Stringer Length174.06 in
Stair Angle36.3°
Comfort (2R+T)25.93" — good

What Is a Stair Calculator?

Overview of the tool and what it helps you calculate.

A stair calculator determines the number of steps, riser height, tread depth, stringer length, and stair angle from your total rise measurement — so you can design and build stairs that are comfortable, safe, and code-compliant.

7.5"

ideal riser

Most comfortable

10.5"

ideal tread

Standard depth

30–37°

ideal angle

Safe & comfortable

Stair Calculation Formulas

Core formulas used for stair geometry and comfort.

Step 1.Number of steps

⌈Total Rise ÷ Ideal Riser Height⌉ (rounded to nearest whole)

Step 2.Actual riser height

Total Rise ÷ Number of Steps

Step 3.Total run

(Number of Steps − 1) × Tread Depth

Step 4.Stringer length

√(Total Rise² + Total Run²)

Step 5.Stair angle

arctan(Riser Height ÷ Tread Depth)

Step 6.Comfort rule

2 × Riser + Tread = 24–25 inches (Blondel's formula)

⌈⌉ means round to the nearest whole number that keeps riser height closest to your ideal.

Building Code Requirements (IRC 2021 R311.7)

Residential stair code limits — always verify with your local authority.

RequirementLimit
Max Riser Height7¾ in (196.9 mm)
Min Tread Depth10 in (254 mm)
Max Step Height Variance⅜ in (9.5 mm)
Min Headroom Clearance6 ft 8 in (2032 mm)
Min Stair Width36 in (914 mm)
Nosing Range¾–1¼ in
Handrail Height34–38 in

The IRC (International Residential Code) applies to most US residential construction. Local jurisdictions may have stricter requirements.

Stair Calculator Examples

Common stair scenarios with calculated dimensions.

Standard 9 ft Ceiling

36.3°

stair angle

Total rise: 108 in (9 ft)

14 steps · 7.71" rise · 10.5" run

Deck Stairs (3.5 ft)

33.7°

stair angle

Total rise: 42 in (3.5 ft)

6 steps · 7" rise · 10.5" run

Basement (10 ft Ceiling)

35.5°

stair angle

Total rise: 120 in (10 ft)

16 steps · 7.5" rise · 10.5" run

Low Deck (2.5 ft)

35.5°

stair angle

Total rise: 30 in (2.5 ft)

4 steps · 7.5" rise · 10.5" run

Common Mistakes When Building Stairs

Avoid these errors to build safe, comfortable stairs.

Measuring total rise to the subfloor instead of the finished floor — this can throw off every step by the thickness of the flooring material.

Forgetting tread thickness affects the first step — in standard mount, the bottom riser is shorter by the tread thickness.

Uneven riser heights — the IRC allows only ⅜" maximum variance between steps. Measure and mark precisely.

Building too steep — angles above 37° feel uncomfortable and unsafe. Keep treads at 10"+ to maintain a safe angle.

Not checking local codes — the IRC is a baseline, but your city or county may have stricter requirements.

Ignoring the comfort formula — 2R + T should equal 24–25 inches. Outside this range, stairs feel either cramped or stretched.

Pro Tips for Stair Construction

Practical advice for accurate stair building.

Measure total rise in at least 3 spots — floors are rarely perfectly level. Use the largest measurement for your calculation.

Use a 2×12 for stringers up to 13 steps. Beyond that, you may need an intermediate landing or engineered lumber.

Cut a test stringer first and check it before cutting the rest — it's much cheaper to waste one board than three.

Mark your layout line on the stringer with a framing square and stair gauges for consistent, accurate cuts.

For decks, count the ground as the first tread — this means one fewer tread piece to cut than the number of risers.

Use three stringers for stairs wider than 36 inches — this prevents the treads from bouncing under foot traffic.

Frequently Asked Questions

Common questions about stair calculation and building codes

Embed Stair Calculator

Add this calculator to your website or blog for free.