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Online calculator for calculating stairs

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Rice. 1 General drawing stairs

• Y - opening height - usually determined by the height of the floors of your house
• X - length of the opening - depends on how much space you can allocate in your house for the stairs
• Z - width of the stairs - depends on how much space you can allocate in your home for the stairs
• W - thickness of steps - geometric parameter material (for example, boards) from which you plan to build the stairs
• F - step protrusion - the distance by which the upper step will hang over the lower one
• T - thickness of the string - a geometric parameter of the material (for example, boards) from which you plan to build the staircase
• C - number of steps - in how many steps will it be most comfortable for you to move from floor to floor

"Show risers: H" function

You can build your staircase with or without risers. This function allows you to see what the design will look like with both options.

Function “Upper step below the floor of the 2nd floor: SP”

Rice. 3 Execution of the staircase with the top steps below the floor

Depending on the relative placement of the structure and the floor of the upper floor:

1. The upper plane of the top step is flush with the plane of the floor of the upper floor;
2. The upper plane of the top step is lower than the plane of the floor of the upper floor by the height of the step.

The choice of one or another mutual placement may depend on: the thickness of the interfloor ceilings, the desired relationship between the number of steps and their height, the length of blanks for stringers and the length of the opening, the desired angle of inclination of the stairs, or simply the tastes and preferences of the owner of the house. Please note that in the picture in which the upper step is below the floor of the 2nd floor, the thickness interfloor covering more than in the figure, in which the upper step is at the floor level of the 2nd floor. If the thickness of the ceiling is less than the height of the step, the stringer simply will not rest against the ceiling (therefore, when demonstrating the second option, this thickness had to be increased).

Function "Black and white drawing:"

Rice. 4 Black and white drawing of a staircase

It is advisable to use this function in two cases:

1. If you are used to working with standard drawings according to GOST standards, and, accordingly, you better perceive graphics without color content.
2. If you are going to print the results of the calculator. Then you will spend less paint/toner and the visual perception of the drawings on paper will be better. And of course this function used when printing on a black and white printer.

Function "Change lifting direction: LR"

Rice. 5 Type of stairs cm in different directions rise

A specific staircase, which is placed in a certain way in the house, can be approached from the side from two sides or only from one side - when the staircase is in contact with the wall. In the latter case, there are two options for placing the structure relative to the observer:

1. Rise from left to right;
2. Ascent from right to left.

This function allows you to visualize both of these options

Calculation of the flight of a straight staircase to the second floor

The main result of this calculator:

1. Information needed to make bowstrings
2. Information required for making steps

According to this information, the flight of stairs is calculated, and the parts from which the structure is assembled are made.

All other drawings show the final appearance of the structure: after joining the strings and steps to each other.

A special feature of this calculator is the implementation of two functions:

1. Assessing the convenience of the stairs;
2. Adjustment of staircase design.

Assessing the convenience of a staircase is carried out according to three criteria:

1. Compliance of the design with the average stride length. According to this criterion, the sum of the step depth and the two heights should equal the average step length. Average length human step - 63 cm.
2. Step depth. Comfortable step depth is from 28 cm. For a given opening length, the step depth can be adjusted by changing the protrusion.
3. The angle of inclination of the stairs. The optimal angle of inclination of the stairs is from 30° to 40°. At tilt angles from 20° to 30° and from 40° to 45°, the comfort level of movement between floors is significantly reduced. Angles of inclination beyond the above limits can significantly affect the speed of movement between floors and the safety level of the stairs.

Based on the results of assessing a specific design, an indicator of the level of convenience is given for each of the criteria, and the staircase is assigned an overall level of convenience. The calculator evaluates whether the staircase meets the generally known criteria of convenience, but you must always remember that your staircase in your home should serve your purposes as efficiently as possible. And if, in accordance with these goals, you need to build the most non-standard staircase in the world - go for it.

If there is a need to improve the design, the straight staircase calculator gives advice on how to do this:

1. Reduce/increase the number of steps;
2. Increase the protrusion of the steps (if the depth of the steps is insufficient for comfortable walking);
3. Reduce/increase the length of the opening.

After adjusting the design, the normalized parameters will become closer to the ideal, but it is possible that such adjustments will have to be made several more times.

Instructions for the straight staircase calculator

In order to calculate the stairs using this calculator, you need to know the height of the floor, the size of the space that you can allocate for the staircase, the materials with which you are going to build it, and, of course, the purpose of its use. Before you start work, you need to carefully consider all the nuances: whether the staircase is adjacent to the wall, or in contact with elements of the interior of the house, and how this should affect the structure itself and the process of its construction. Possibly for selection correct option in size and design, you will have to use a calculator to calculate and compare several. Before you start processing the material, make sure that the detail drawings correspond to the ladder that is suitable for you and your purposes. When building, attach the parts to each other, and the staircase itself to the house so that you can guarantee the reliability and strength of the structure for decades.

The stairs presented on our website can be divided into categories according to three mutually dependent criteria:

1. Length dimensions

A. Maximum length— all steps are placed on one pair of bowstrings/stringers;

b. Medium length - steps are placed on two pairs of strings;

V. Minimum length - the steps are placed on three pairs of strings, the length dimension is regulated by changing the number of steps on the corresponding pairs of strings;

2. Width dimensions

A. Maximum width - steps are placed on two or three pairs of strings, the width dimension is regulated by changing the number of steps on the corresponding pair of strings;

b. Average width - the steps are placed on two parallel pairs of strings, the width dimension is equal to two widths of the stairs;

V. Minimum width - all steps are placed on one pair of bowstrings/strings, the width dimension is equal to the width of the staircase;

3. Difficulty in manufacturing

A. Easy to manufacture - made from bowstrings/stringers and rectangular steps;

b. Medium complexity of manufacturing - made from bowstrings, rectangular steps and platforms;

V. Difficult to manufacture - made from bowstrings/stringers, rectangular steps, platforms and turning steps.

Stairs presented on our website:

• Straight ladder on bowstrings - 1.a.-2.v.-3.a.
• - 1.b.-2.a.-3.b.
• - 1.b.-2.b.-3.b.
• - 1.b.-2.b.-3.c.
• - 1.c.-2.a.-3.b.
• — 1.v.-2.a.-3.v.
• - out of classification
• - 1.a.-2.v.-3.a.

In each specific situation the floor height has already been set. Based on your own preferences, you can choose the level of convenience: either the convenience criteria are met, or the staircase is flatter, or steeper, etc. Having this information, we can talk about the number of ascents (steps and platforms) in a particular situation, and also, if necessary, calculate a straight staircase online.

Let's imagine that we have, for example, 12 ascents - steps and platforms. Staircase design is the shape of these risers (steps, turning steps, landings) and how these 12 risers are placed relative to each other.

You can place all these 12 rises in one row along the length of the opening - “Straight staircase on bowstrings”, ““. In this case, your staircase will have a maximum dimension in length, a minimum dimension in width and will not be difficult to manufacture. Having all the necessary parameters, it will be much easier to calculate a straight staircase to the second floor.

These 12 lifts can be placed in 2 rows, rotated 90° relative to each other (when viewed from above). With a platform on the turn - "" - a simpler option to manufacture (for example, 5 steps on the lower pair of bowstrings, a platform and 6 steps on the upper pair of bowstrings). With rotary steps on the turn - "" - a more difficult option to manufacture (for example, 3 steps on the lower pair of bowstrings, 3 rotary steps and 6 steps on the upper pair of bowstrings). In these cases, your staircase will have an average dimension in length and an adjustable dimension in width.

You can place these 12 lifts in 2 parallel (when viewed from above) rows placed next to each other. With a platform on the turn - "" - a simpler option to manufacture (for example, 5 steps on the lower pair of bowstrings, a platform and 6 steps on the upper pair of bowstrings). With rotary steps on the turn - "" - a more difficult option to manufacture (for example, 3 steps on the lower pair of bowstrings, 3 rotary steps and 6 steps on the upper pair of bowstrings). In these cases, your staircase will have an average dimension in length and an average dimension in width.

You can place these 12 lifts on 3 rows perpendicular to each other (when viewed from above).

With platforms on turns - "" - an easier option to manufacture (for example, 2 steps on the lower pair of bowstrings, a platform, 3 steps on the middle pair of bowstrings, a platform and 5 steps on the upper pair of bowstrings). With rotary steps on the turn - "" - a more difficult option to manufacture (for example, 2 steps on the lower pair of bowstrings, 3 rotary steps, 2 steps on the middle pair of bowstrings, 3 rotary steps, 2 steps on the upper pair of bowstrings). In these cases, your staircase will have a minimum length dimension and an adjustable width dimension. You can also calculate a one-flight staircase using the calculator.

Or you can choose ““, which is not similar to any of the above and will give the interior of your home a truly sophisticated look. If you want to get by with a simple and convenient design, you can calculate the straight line wooden stairs and make sure of the affordability, simplicity and reliability of the project.

This design relevant in a situation when you want a staircase that is easy to manufacture, the length of which would depend on the height of movement (subject to compliance with convenience criteria) and which would not take up much space in width.

The creation of a staircase is preceded by the project development stage. At the design stage, the engineer:

Of course, it is better to trust any work to professionals. But if you want to save 30-40% of the cost of the stairs, then the described work can be done yourself using special software.

Online 3D calculation designer

Anyone can design a 3D model of the staircase of their dreams. There are online services for this on the Internet.

They work quite simply. The user must set the following parameters:

• type of stairs;
• march length;
• width and height of the step;
• construction material.

Additionally, you can select a tint color from the list provided and decorative design designs.

Similar programs can be found on the websites of staircase manufacturers. In this case, you can not only look at the staircase you created yourself, but also find out how much it will cost to manufacture it from a specific manufacturer.

DIY design - calculator program

Well, if you need to design a staircase from scratch, you will need a calculator program. Today there are programs that specialize in designing stairs. These include StairCon, Stair Designer, Compass/ND, Consultec Stairon.

With their help you can:

Typically, in order to get finished project, the following initial data is sufficient for the program:

• type of stairs;
• width and length of the opening;
• opening height;
• overlap thickness.

Construction calculator Zhitov

The described programs, of course, will facilitate the design task and allow you to save a considerable amount, but they themselves are not cheap.

Alternatively, you can use construction calculator Zhitov, who will help you calculate a wooden, metal or reinforced concrete staircase online.

The construction of a single-flight staircase begins with the program requesting the following data:

• desired step sizes;
• dimensions of the protrusion on the steps;
• opening dimensions;
• minimum stringer width;
• the position of the initial step in relation to the floor level of the 2nd floor;
• direction of rise.

Based on this data, the program draws a drawing indicating the main dimensions of the structure and the angles of the steps in relation to the string, with markings of the main dimensions of the steps.

It should be noted that design in the program is carried out taking into account ergonomic requirements. According to which, the slope of the stairs should be 30-40, the height of the step should be no more than 25 cm, and the depth of the step should be 28-31 cm.

Well, if you want to creatively approach the process of creating a staircase for own home, then you can, armed with a calculator, pencil and paper, perform the calculation and drawing yourself.

How to calculate the stairs correctly

Screw metal

Construction spiral staircase start by measuring the height of the room (H) and the size of the opening (D 1). The height of the room is measured from the finished floor level of the lower floor to the floor level of the upper floor. The size of the opening determines what diameter (D 2) the staircase can be installed.

The diameter of the stairs is taken to be slightly smaller than the opening. To make climbing the stairs comfortable and safe, the diameter is 1500-2000 mm.

Having determined the diameter, find the length of the step (D 3): D 3 = D 1 /2-d, where

d is the internal diameter. It is taken taking into account the diameter of the support post. Typically this value is 100-200 mm.

For further calculations, it is necessary to determine the angle of rotation of the stairs. If the entrance and exit from the stairs are on the same line, then the rotation of the stairs is 360 0.

At the next stage, the length of the march is determined using the formula: L = 2πR, R = D 2 /2. Since you need to determine the length of the march along the ascent line, and it retreats from the edge of the room by 2/3, the formula takes the form: L = 2*2/3πR.

Knowing the length of the march and choosing the depth of the tread (h 1), you can calculate the number of steps (n): n= L/ h 1. In this case optimal depth the tread is 25-27 cm. If the calculation results in an odd number, then it is rounded. As a rule, the level of the upper step coincides with the floor of the upper floor, so it is not taken into account in the calculation.

If we divide the height of the room by the number of steps, we will find out its height. The normal height of the steps is 17-18 cm. If the height is greater, then it is necessary to increase the number of steps.

To make sure that the staircase fully complies with ergonomic standards, it is necessary to calculate the depth of the tread along the line of movement and along the outer edge. To do this, you need to divide the length of the march by the number of steps. The resulting tread depth along the movement line should be 20-25 cm, and along the outer edge - 30-35 cm. The tread depth inside the march can be calculated or taken as 100-200 mm.

Based on these calculations, a drawing of a spiral staircase is constructed and calculated required quantity materials.

How to correctly calculate a wooden staircase to the second floor

With a rotation of 90 0

Before starting the calculation, measure the height from the floor of the first floor to the floor of the second floor and the dimensions of the opening in which the staircase will be installed.

And the width of the step (b) should be within 27-30 cm. You can check how comfortable the staircase is after calculations by multiplying the height of the steps by two and adding the width. The resulting value should be in the range of 600-650 mm. Using the same formula, you can calculate the width of the step using the formula: b=650-a*2

To avoid hitting the ceiling with your head while climbing the stairs, it is necessary to maintain the clearance height within the range of 1900-2000 mm. You can understand whether the designed structure meets this requirement by performing the following calculations:

1. Subtract 70 cm from the length of the opening and divide by the width of the steps. The resulting number is the number of steps located above the opening.
2. Multiply the value from the first point by the height of the step.
3. Subtract the value obtained in the second paragraph from the floor height. This number will be equal to the height of the clearance.

If the number is less than normal, you can do the following:

• increase the opening;
• reduce the number of steps, thereby increasing their height.

If it is impossible to increase the opening, and reducing the steps will lead to the fact that the slope of the stairs and the height of the steps will not correspond to the norm, it is better to design the stairs with a turn of 90 0.

This design consists of two flights located in relation to each other at an angle of 90 0. This allows you to fit the staircase even into a room with a small area and a small opening.

The marches can be connected to each other by a platform or winder steps. The first option is much more convenient, and the calculation in this case is not much different from what has already been described. The main task is to determine at what height from the floor level it is necessary to arrange an intermediate platform.

First, they calculate how many steps are needed for the upper flight, located between the platform and the second floor. To do this, the required clearance height (2000 mm) is divided by the accepted step height (15-18 cm). The resulting number is rounded to whole numbers and reduced by one (since the upper frieze step coincides with the floor level).

To find out at what height the platform will be, the height of the steps is multiplied by their number and this number is subtracted from the height of the floor.

The number of steps for the lower flight is calculated in the same way. At the same time landing when calculating, it is considered a step. The width and length of the platform are taken equal to the width of the stairs.

With a 180 0 turn and a platform - drawings

It is customary to install a two-flight staircase with a turn of 180° when the floor height is more than 3 m.

For convenience, the calculation is performed simultaneously with the construction of the drawing on graph paper. First, the staircase is drawn.

Knowing the width staircase, calculate the width of the march. To do this, subtract the gap value (100 mm) from the width of the staircase and divide the value by two.

Well, to find out what height is allocated to each flight, the height of the floor is divided by two.

Further calculation involves calculating the number of steps. To do this, again, it is enough to divide the height of the march by the height of the step.

Well, in order to determine what the length of the march will be and to construct its horizontal projection on the plan, you need to multiply the number of steps by the width.

The resulting dimensions are transferred to the plan. And then they draw a section of the staircase.

Having the drawings in hand, it will not be difficult to break down the structure in the house.

Online designer of 3D calculations, designing stairs with your own hands - calculator program, Zhitov, how to correctly calculate a screw, metal, wooden staircase to the second floor with a turn of 90, 180 and a landing - formulas, drawings

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The construction of a house with a second floor involves the creation staircase design, which connects the floors to each other. The simplest and most accessible for self-construction An option is a single-flight staircase. However, even in this case, you need to know how to calculate the steps of the staircase at the design stage so that it turns out not only safe, but also comfortable.

The calculation of stair steps is carried out based on such a parameter as the human step. Its average value ranges from 600 to 640 mm. How, based on this value, can you make a calculation (the height of the riser and the depth of the tread)?

There are formulas that relate the height and depth of a step to specific numerical parameters characteristic of a human step. Here are the most significant ratios:

1. Y + 2H = S;
2. Y + H = 460 mm;
3. Y – H = 120 mm.

Designations: Y – step depth, H – step height, S – average human step (600–640 mm). The first formula is the main one. The second is a simplified version of the first, it is also called the safety formula. Using the third formula will help make the stairs more comfortable. All these ratios were obtained back in the 18th century, but they are still considered reference values ​​to this day. If your dimensions match the standard ones, then the staircase will be comfortable and safe.

In addition to formulas that allow you to correctly calculate the size of steps, there are recommended parameters. For example, the area of ​​the step should be such that a person, when walking up the stairs, rests on his entire foot or at least most of it. The depth of the tread determines this area. The minimum depth is 25 cm. This is especially important for descent. On the other hand, if the depth of the steps is too deep, a person, going up to the second floor or going down, will certainly lose his step. The area of ​​the step, of course, will be sufficient for placing your feet, but walking from floor to floor when the steps are wider than 40 cm is no longer comfortable. Thus, the depth is selected from the range of 25–40 cm. Optimal value– 30 cm.

You can do it differently - take the shoes of those people who will use the stairs and increase their size by a couple of centimeters. The resulting values ​​will become a guideline for choosing the tread depth. If the depth is too small, which happens, for example, due to the large angle of inclination of the stairs, then protrusions (overlaps) are used. The width of the tread section overhanging the underlying step should not exceed 5 cm.

When the tread depth is selected, the calculation can be made according to the formulas described above. But there are also recommended values. The height is selected from the range of 12–22 cm. It is undesirable to make the steps high if children and elderly people will use the stairs. Steps that are too low are also not recommended, since you will have to step often and shallowly, which is inconvenient. The optimal height is 15 cm.

Important! The steps must be the same height. Going down to ground floor in the dark, it is very easy to stumble when the actual height of the step differs from the expected one, as we rely on muscle memory.

Choosing the width of the march

One of the parameters of the steps is their width. It is more correct to call it the width of the march. The ability to comfortably move up the stairs depends on this value. The width of the march should not be less than 70 cm.

If the stairs will be used by several people at the same time, the structure should not only be stronger, but also wider. When one person goes up to the second floor and another goes down to the first, they need to separate without experiencing any inconvenience. To ensure the ability to walk on the stairs towards each other, the width of the flight must be at least 120 cm.

The length of the steps can be greater when it is necessary to ensure an increase in the so-called bandwidth stairs. IN apartment buildings And public buildings, where it participates in movements from floor to floor large number people, the flights of stairs reach a width of one and a half meters, or even more. In private buildings, the width of the flight of stairs leading to the upper floor often coincides with the width of the doorway to which it adjoins.

What can the parameters of the steps depend on?

• number of steps;
• height of stairs;
• tilt angle.

To determine the number of steps, the interfloor distance is divided by the height of one step. Everything is simple, but the problem is that the resulting value may not be an integer. The solution is to make the lower frieze step non-standard. Its area will not change, but its height will be less than that of the others - it is equal to the product of the remainder and the original height of the steps.

Another option is to spread the “extra” over all the steps, increasing their height. The calculation is simple - the remainder is multiplied by the height of the step, the resulting product is divided by the number of steps and this quotient is added to the original height of each step. Obviously, the change will be insignificant if there are many steps.

Graphical method

A method using graphical constructions makes it possible to obtain the parameters of the steps (height and depth), taking as a basis their number (of steps). To do this, a coordinate system is constructed, on the horizontal axis of which the values ​​of the average human step are plotted, and on the vertical axis - half of this value.

Important! With this calculation, you need to choose a suitable scale, otherwise the drawing will require too large an area.

If the average human step is taken to be 620 mm, and the scale is chosen to be 1:10, then segments of 66 mm are plotted on the horizontal axis, and 31 mm on the vertical axis. The number of segments on each of the axes must be equal to the number of steps.

Having axes with marks, draw lines connecting the first mark on the horizontal axis with the first mark on the vertical, the second – with the second, the third – with the third, etc. Having received a series of parallel inclined lines, a straight line is drawn from the center of coordinates, indicating the steepness of the stairs. Now, from each point of intersection of a straight line with inclined lines, two segments are drawn:

• the first - to the left, parallel to the horizontal axis;
• the second - upward, parallel to the vertical axis.

As a result, the boundaries of the steps should be outlined. Their width and height are determined simple measurement the resulting lines on the graph. The final dimensions are obtained taking into account scaling (for example, multiplying by 10 if the scale was 1:10).

Online calculator

The most in a simple way calculating the parameters of stairs is an online calculator. No special knowledge or skills are required here. In addition, online calculators allow you to calculate the parameters of not only simple single-flight staircases to the second floor, but also spiral staircases, as well as staircases with winder steps. The calculation can be made with different initial data. In one case, to receive required sizes The floor height and room area are entered into the program. In another case, calculations are made based on the height of the steps and the angle of inclination of the structure. Online calculator for stairs and others construction work

Online calculators that calculate the parameters of stairs are developed, as a rule, in compliance with the standards specified in GOST. Using such programs can benefit not only beginners, but also professionals.

In order to perform calculations of the future staircase data with your own hands, you will need to find a number of parameters. If you do not know the basic design rules, you can make serious mistakes, which will further affect the safety and convenience of the design. To make the task easier, we introduced standard specifications and special formulas have been developed.

Types of structures

• straight one-march;
• single-flight with winder steps;
• two-flight with an intermediate platform;
• rotatable 90 degrees (L-shaped);
• swivel 180 degrees (U-shaped);
• with an arbitrary degree of rotation.

Calculating the parameters of a staircase with your own hands may seem like a difficult task for a beginner. In order to avoid significant mistakes, you need to familiarize yourself with the basic indicators, established standards and formulas for calculations.

Options for staircase designs to the second floor

SNiP standards

Before calculating stairs for climbing to the second floor, you need to familiarize yourself with the SNiP and GOST standards. If you decide to completely make the entire structure with your own hands, this stage is mandatory.

First of all, you should pay attention to the following parameters:

• Slope. Reflects the angle of inclination flight of stairs, for residential premises this figure should be within 30-40 degrees.
• Number of steps. The exact value depends on the length of the span and the number of marches, the minimum number is three, the maximum is 16 for double-flight models and 18 for single-flight ones.
• Site size. If a two-flight structure with a platform is installed to ascend to the second floor, the width of the latter must be no less than the width of the flights leading to it.
• Tread width. Distance from the edge of the step to the riser, optimal distance-29 cm, fluctuations +/-3 cm are allowed.
• Riser height. The distance between steps is considered to be 17 cm as a standard, however, the interval of 14-20 cm does not go beyond the norm.
• Step. The total distance covering 2 treads and 1 riser, ideal value– 62 cm.
• Width of the stairs. The distance from one edge of the step to the other, for a regular staircase to the second floor, is at least 80 cm.
• Dimensions of the staircase. The area of ​​the cage must be sufficient to allow the door to be opened or the person to pass without hindrance.

If the staircase meets all the standards described above, it will be safe and very convenient for movement.

Calculation scheme optimal angle stair inclination that meets standards

In some cases, in particular when the house has already been built and it is not possible to make changes regarding the height of the floors and the layout of the room, deviations from the standard indicators are allowed, the main condition is that the changes made should not seriously affect the safety indicator of the staircase structure.

Opening and dimensions of steps

You can calculate stairs, or rather, steps, only if you have all the formulas available and the basic indicators have been determined. To begin with, they are selected intuitively, based on SNiP standards. You also need to measure the opening; in the future, you can adjust the parameters if some deviations and discrepancies are identified. Since you can calculate the dimensions of the opening for the stairs using a simple tape measure, first measure the distance from the floor to the ceiling, and from the entrance to the second floor to the position of the first step.

In order to calculate the staircase in the house, as well as determine what size the opening should be, you first need to know the number of steps in the flight. Based on this indicator, you will calculate the size of the riser and can use the formula to determine the step. So, let's look at how to calculate the standard stair step. To do this, you need to take the width of the tread and the height of the step. The formula for calculating the step of the stairs is as follows:

2a + b = 60…65

In one step, a person can cover an average of 60-65 cm. This is a comfortable step size, on the basis of which you can calculate the width of the tread (a) and the height of the riser (c).

Measurements necessary for the correct calculation of the stairs to the second floor

These indicators can also be determined in a slightly different way. To do this, you need to take as a basis such parameters as the height of the rise, the length of the projection and the slope of the stairs. First you need to calculate the lift height:

h = H + D

In other words, you need to sum up the height of the room and the thickness of the ceiling. From here you can find out the number of steps:

Based on the number of steps and the height of the tread, you can calculate the projection length of the staircase, focusing on the opening. We calculate the projection length of the stairs:

If you know the height of the rise and the length of the stairs, you can find out the slope or steepness of a straight staircase:

Based on these data, it is possible to calculate more accurate indicators for straight stairs:

a = h/n

Convenience and safety

In addition to the dimensions of the structure itself for lifting to the second floor, there are several more criteria for assessing convenience and safety that must be taken into account. Therefore, it is not enough to simply correctly calculate the stairs using the specified formulas; it is necessary to determine the degree of compliance of the design parameters with the required standards. This can be done with your own hands using simple techniques.

Calculation of a safe and convenient step of stairs for private use

First of all, the formula is used to calculate the safety of the stairs:

a + b = 46

This sum of the dimensions of the tread and riser indicates that the preliminary calculations were made correctly and comply with the standards.

There is also a special formula for determining the degree of convenience of the stairs:

a – b = 12

If the difference between these two indicators is 12 units, it means that climbing such a staircase to the second floor will be very convenient for the average person. The opening must also meet the requirements of convenience and safety, provide free access and not impede access to the second floor.

You should not recalculate the entire project if there are minor deviations of a couple of centimeters, this is quite acceptable.

Winder steps, platforms and cages

Separately, it is worth considering the situation with the design of a non-standard staircase structure. So, let's figure out how you can calculate the stairs yourself if you plan to use a winder structure to climb to the 2nd floor. Standard formulas are only suitable for straight marching models. Here's the size calculation winder staircase produced graphically. In this case, the calculation of the staircase and intermediate landings is carried out separately, if any.

Schematic representation of the design of a staircase with winder steps

Let's look at how to calculate a two-flight staircase in a house with your own hands. If an intermediate platform is used, the calculation of such an interfloor staircase is carried out in two stages. First, the position of the site or intermediate cell is calculated. Then, up to this mark, the parameters are calculated for the standard march, and then for the second similar section. The dimensions of the staircase are calculated based on the width of the last step leading to the second floor and the dimensions of the passage.

Now you know how to correctly calculate the stairs in the house and the opening for it. If you are experiencing some difficulties with design, you can use online programs, but you should not trust them one hundred percent, calculation of stairs – This is a very important stage and in this case it is better to order finished work from a professional.