Stair Calculator

The online staircase calculator will calculate the angle of inclination, number of steps, height and span length. A convenient tool for designing stairs in a house, country house or construction site.

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Calculation of stairs

Calculate the angle of inclination, the number of steps and the length of the flight of stairs

About the staircase calculator

The online staircase calculator will calculate the angle of inclination, number of steps, height and span length. A convenient tool for designing stairs in a house, country house or construction site. Safety and comfort standards are taken into account.

The calculator takes into account all important parameters: total lift height, step dimensions (height and depth), type of staircase and checks compliance with the safety formula 2h + b ≈ 600–640 mm. The results include the exact number of steps, slope angle, span length and recommendations for improving the design.

Examples of staircase calculations

Below are practical examples of calculating stairs for various use scenarios with detailed calculations and visualization of parameters.

Optimal staircase for a private home

Standard staircase to the second floor in a private house with optimal comfort parameters.

Входные данные:

Lifting height: 3000 mm Step height: 180 mm Step depth: 300 mm Type: Straight

Расчёт:

Quantity: ⌈3000 / 180⌉ = 17 steps Length: 17 × 300 = 5100 mm Angle: arctan(180/300) = 30.96° Formula: 2×180 + 300 = 660 mm

Результат:

17 steps, 5.10 m

Тип:

Optimal

💡 The staircase corresponds to the convenience formula, the angle is comfortable for constant use.

Высота ступени180 mm
Глубина ступени300 mm

Staircase for a cottage with high ceilings

Staircase for a room with a ceiling height of 3.5 meters.

Входные данные:

Lifting height: 3500 mm Step height: 175 mm Step depth: 280 mm Type: Straight

Расчёт:

Quantity: ⌈3500 / 175⌉ = 20 steps Length: 20 × 280 = 5600 mm Angle: arctan(175/280) = 32.01° Formula: 2×175 + 280 = 630 mm

Результат:

20 steps, 5.60 m

Тип:

Acceptable

💡 The parameters are within acceptable limits, the angle is a little steep for older people.

Высота ступени175 mm
Глубина ступени280 mm

Compact staircase for a summer residence

Save space while maintaining comfort of use.

Входные данные:

Lifting height: 2800 mm Step height: 200 mm Step depth: 250 mm Type: Rotatable 90°

Расчёт:

Quantity: ⌈2800 / 200⌉ = 14 steps Length: 14 × 250 = 3500 mm Angle: arctan(200/250) = 38.66° Formula: 2×200 + 250 = 650 mm

Результат:

14 steps, 3.50 m

Тип:

Optimal

💡 Compact design with optimal comfort formula, suitable for limited space.

Высота ступени200 mm
Глубина ступени250 mm

Stairs to the basement

Steep stairs to go down to the basement.

Входные данные:

Lifting height: 2200 mm Step height: 220 mm Step depth: 200 mm Type: Straight

Расчёт:

Quantity: ⌈2200 / 220⌉ = 10 steps Length: 10 × 200 = 2000 mm Angle: arctan(220/200) = 47.73° Formula: 2×220 + 200 = 640 mm

Результат:

10 steps, 2.00 m

Тип:

Cool

💡 The angle is too steep for comfortable use, the parameters need to be improved.

Высота ступени220 mm
Глубина ступени200 mm

Staircase for the elderly

Gentle ascent with comfortable parameters for people with limited mobility.

Входные данные:

Lifting height: 3200 mm Step height: 150 mm Step depth: 350 mm Type: Straight

Расчёт:

Quantity: ⌈3200 / 150⌉ = 22 steps Length: 22 × 350 = 7700 mm Angle: arctan(150/350) = 23.20° Formula: 2×150 + 350 = 650 mm

Результат:

22 steps, 7.70 m

Тип:

Acceptable

💡 Very flat angle and comfortable steps, takes up a lot of space.

Высота ступени150 mm
Глубина ступени350 mm

Spiral staircase

Compact solution for limited space.

Входные данные:

Lifting height: 3000 mm Step height: 200 mm Step depth: 200 mm Type: Rotatable 180°

Расчёт:

Quantity: ⌈3000 / 200⌉ = 15 steps Length: 15 × 200 = 3000 mm Angle: arctan(200/200) = 45.00° Formula: 2×200 + 200 = 600 mm

Результат:

15 steps, 3.00 m

Тип:

Cool

💡 Compact, but the angle of inclination is on the permissible limit, requires caution when using.

Высота ступени200 mm
Глубина ступени200 mm

How are stairs calculated?

The calculator uses standard formulas for calculating stairs in accordance with GOST and international standards. All calculations are performed automatically based on the entered parameters.

Number of stages: n = H / h

The number of steps is calculated as the ratio of the total rise height to the height of one step, rounded up.

Tilt angle: α = arctan(h / b)

The angle of inclination is calculated through the arctangent of the ratio of the height of the step to its depth. Optimal range: 30–40°.

Formule convenient staircase: 2h + b ≈ 600–640 mm

Checking compliance with the Blondel formula, where twice the height of the riser plus the depth of the tread should be in the range of 600–640 mm for comfortable use.

Span length: L = n × b

The total length of a flight of stairs is equal to the product of the number of steps and the depth of one step.

Benefits of the calculator

Our staircase calculator provides many benefits for accurate design and safe construction.

Accurate calculations

Uses current GOST standards and international safety standards. All formulas have been tested and comply with building regulations.

Saving money

Helps avoid design errors that can lead to costly rework. Accurate calculation of materials reduces costs.

Design

Takes into account all safety and comfort parameters, including the angle of inclination, the size of the steps and the formula for a comfortable staircase.

Ease of use

A simple interface allows you to quickly get all the necessary staircase parameters without special knowledge.

Useful design tips

Follow these guidelines to create a safe and comfortable staircase:

Design

Take accurate measurements of the lifting height before starting design.

Follow the formula 2h + b ≈ 600–640 mm for comfortable use.

Choose materials taking into account the type of stairs and operating conditions.

Safety

Be sure to install handrails with a height of 900–1100 mm for all stairs above 3 steps.

Provide good lighting, especially on the first and last steps.

Use anti-slip coatings on exterior stair treads.

Optimization

For limited space, consider turning or spiral staircases.

An inclination angle of 30–40° is optimal for constant use, up to 45° is acceptable for rarely used stairs.

For the comfort of older people, use a lower step height (150–160 mm) and greater depth (300–350 mm).

Frequently Asked Questions

1.How to calculate the number of steps in a staircase?

Number of steps = Total lift height / Step height.

2.What angle of the stairs is considered convenient?

A convenient angle of inclination of the stairs is 30–40 degrees.

3.How to choose the height and depth of the step?

Use the formula for a comfortable staircase: 2h + b ≈ 600–640 mm, where h is height, b is depth.

4.What standards are used when calculating stairs?

Calculations are performed in accordance with GOST and international safety standards.

5.What is the formula for a comfortable staircase 2h + b?

This is a formula where twice the step height plus the tread depth should be 600–640 mm.

6.What is the minimum and maximum step height allowed?

The height of the step should be from 150 to 200 mm for comfortable ascent.

7.Can the calculator be used for external stairs?

Yes, the calculator is suitable for calculating both internal and external stairs.

8.How to calculate a 90° turning staircase?

For turning stairs, the additional length of the turntable is taken into account.

9.How to calculate the length of a flight of stairs?

Span length = Number of steps × Step depth.

10.How to reduce the angle of inclination without changing the height?

Increase the depth of the steps or add a turntable.

11.Can this calculation be used for metal and concrete stairs?

Yes, the calculation principles are the same for all types of stairs.

12.What to do if the calculation shows too steep an angle?

Increase the depth of the steps or reduce their height to reduce the angle of inclination.

13.How to calculate a staircase for the elderly?

Use lower step heights (150–160 mm) and greater depths (300–350 mm).

14.What is the minimum width of a staircase?

The minimum width of stairs in residential buildings is 800 mm.

15.How to calculate the stairs to the basement?

Consider limited space and use a steeper angle (up to 45°).

16.What are winder steps?

These are steps with variable width, used in turning staircases.

17.How to calculate a spiral staircase?

For spiral staircases, special formulas are used taking into account the radius.

18.What height should the railings be?

The height of the railing should be 900–1100 mm from the surface of the steps.

19.How to calculate the stairs to the attic?

Consider limited space and use folding or extension ladders.

20.What is a stringer in a staircase?

A stringer is an inclined beam on which the steps of a staircase rest.

21.How to calculate a staircase for the disabled?

Use a gentle angle (up to 20°), wide steps and handrails on both sides.

22.What is the depth of the steps for an external staircase?

For external stairs, the step depth must be at least 300 mm.

23.How to calculate the stairs in a townhouse?

Consider limited space and use compact solutions.

24.What is a bowstring in a staircase?

The string is the side beam of the staircase into which the steps cut.

25.How to calculate the stairs in a loft?

Consider the style of the interior and use modern materials and designs.

26.What is the step height for a children's staircase?

For children's stairs, the step height should be 120–150 mm.

27.How to calculate the stairs in a penthouse?

Consider panoramic windows and use lightweight structures.

28.What is a riser?

The riser is the vertical part of the step that determines its height.

29.How to calculate the stairs in the studio?

Use compact solutions and multifunctional designs.

30.What is the depth of the steps for an office staircase?

For office stairs, the step depth should be 280–320 mm.

31.How to calculate the stairs in an apartment?

Consider limited space and use modern solutions.

32.What is a tread?

The tread is the horizontal part of the step that is stepped on.

33.How to calculate the stairs in a duplex?

Consider the connection between floors and use convenient solutions.