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01 / STAIR CALCULATOR
Stair Calculator

Every step, considered.

Find the right proportions. See the design take shape.

Design inputs

01
Units
Design standard / project limits

Original ergonomic references; no national code certification.

Limit plan dimensions

Width and length follow the drawing axes. Reserve clearance separately.

Preliminary construction details

These are user-specified drawing dimensions, not structural design results. Beam/slab sizing and reinforcement require loads, spans, supports, materials and the applicable design code.

Headroom settings

Distance to the slab opening, measured along the stair run.

Recommended solutions

11 options

Optimize scheme

Searches 15–25 risers and 240–340 mm treads. Plan limits and ergonomic criteria are checked before preferences.

20 risers · T 295.0 mm
2R + T = 625.0 mm · 29.2°
5,605 × 1,000 mm

NR (mm)2R + T (mm)αRating
220.0720.038.2°STEEP
206.3692.536.4°POOR
194.1668.234.7°POOR
183.3646.733.2°POOR
173.7627.431.8°IDEAL
165.0610.030.5°GOOD
157.1594.329.3°POOR
150.0580.028.2°POOR
143.5567.027.1°POOR
137.5555.026.2°POOR
132.0544.025.2°POOR
Ideal: 620–630 mm

Live blueprint

LIVE
Stair type
ASTAIR SECTION
STAIR SECTIONA—A / STAIR SECTION19 risers / 18 treadsSTAIR CALCULATOR / 01+3,300±0.000TOTAL RUN 5,040 mm3,300 mmHeadroom 2,356T 280R 17431.8°
Proportional drawing·Scroll freely. Enable Move drawing to pan.
100%

Stair geometry

Plan envelope
5,040 × 1,000 mm
Riser split by flight / turn
19
Minimum tread at walkline
280.0 mm
Waist slab thickness / Landing slab thickness
150 / 150 mm
Stair beam width × Stair beam depth
200 × 350 mm
Handrail height
900 mm

These are user-specified drawing dimensions, not structural design results. Beam/slab sizing and reinforcement require loads, spans, supports, materials and the applicable design code.

Riser height
173.7mm

19 risers

Total run
5,040mm

18 treads

Stair pitch
31.8°

Standard

Ergonomic analysis

IDEAL
Blondel’s rule2R + T
627.4mm
600640

Ideal proportion

Safety formulaR + T453.7 mm

Target ≈ 450 mm

Comfort formulaT − R106.3 mm

Target ≈ 120 mm

Headroom clearance

Meets 2,000 mm reference

2,356 mm

Geometry and ergonomic checks support preliminary design. Verify local code, landings, handrails, and project conditions.

Material quantities · preliminary BOQ

Quantity assumptions

The default 100 kg/m³ is an editable budgeting assumption, not a code-prescribed steel ratio or structural design.

Additional beam quantities are entered separately. Use the beam width/depth in construction details for concrete/timber; avoid counting overlapping concrete twice.

ItemNet quantityWith allowance +5%
Waist slab concrete0.89 m³0.934 m³
Step wedges concrete0.438 m³0.46 m³
Landing concrete0 m³0 m³
Additional beam concrete0 m³0 m³
Total modeled concrete1.327 m³1.394 m³
Estimated reinforcement132.732 kg139.368 kg

Preliminary quantities for the modeled stair only. Excludes floor slabs, supports, guardrails, connections, finishes and foundations. Sizes/rates are user inputs; reinforcement is not a bar-bending schedule. Piece allowances round up.

BOQ quantities stay in m³, m², m and kg when drawing units change.

Guides & Design Standards

Learn how to calculate stair risers, check the Blondel formula, compare layouts and estimate concrete, steel or timber quantities.

Read the full guide