How to calculate the stairs

How to calculate the stairs

The dream of any person has its own apartment, and even better home. Built in several floors indicates that the owner has a decent income or is a master for all hands. But it is not that a staircase is needed in any two or three-story house. Well, if at the installation of its specialists took into account all the nuances: bias, height and width of steps. Then the staircase will be equally convenient for lifting both old men and children, and most importantly - also safely. Let's find out how to calculate the steps for such a staircase.



1
Height and width of the stairs

Different in height and width of the steps are a direct threat to a person. After all, going down on them in the dark day, you can cool down, turn the leg or missed the steps and fall. Therefore, before designing the staircase in the room, make the drawing and count how much steps you need, what is the height and width (plane for the foot).



2
Foresty slope

Ideally, when the staircase has a bias of 24-38º. If the angle of inclination is more than 45º, then on such a steep staircase it is necessary to descend back forward. However, it saves a place in the room, there will be more space for the canopy.

3
Calculation of the number of steps

To calculate the number of steps, we will need two values: H and L, where h is the height of the stairs, L is the length. It is very simple to measure these values: h - the distance from the floor of the first floor to the floor of the second, L is the projection of the stairs to the floor of the first floor, in other words, the distance that the product will take on the ground floor. Suppose that H \u003d 2.4 m, and L \u003d 3.6 m, and we need to calculate the steps for such parameters for the stairs.

Knowing these measurements, you can pick up the number and size of steps. Comfortably, if one step has an oppomme rate of 16.5-23.5 centimeters, and the width of the sticking (A) is 22.5-26 centimeters. Based on this, we make the calculation of the number of steps (N). For this, it is necessary to share a total height (h) to share a riser (H1), we are comfortable H1 \u003d 20 centimeters, we get:

n \u003d h / h1 \u003d 240/20 \u003d 12 steps.

Consequently, the width (a) of the steps will be equal to the projection of the staircase march to the floor (L), divided by the number of steps (N):

a \u003d L / N \u003d 360/12 \u003d 30 centimeters, a little more than the above norm, which is not so fundamentally.

4
Materials for the manufacture of the ladder

Even for the purchase of materials, we will need size, namely the length of the ladder itself (C). Geometry will help us to find this magnitude: based on the theorems on rectangular triangles - the square of hypotenuses (C) is equal to the sum of the squares of cathets (A, B):

c² \u003d A² + B² \u003d H² + L² \u003d 2,4 ² + 3.6² \u003d 5.76 + 12.96 \u003d 18.72 m²;

c \u003d √18.72 ≈ 4.33 meters.

5
The angle of the staircase

Also according to the rules of the rectangular triangle can easily calculate the angle of the staircase:

sin α \u003d h / s \u003d 2.4 / 4.33 ≈ 0.55;

α ≈ 34 °, this is a good, comfortable slope.

Before proceeding to the manufacture of the ladder, recalculate carefully, preferably several times, the results obtained. Carefully make measurements so that there are no mistakes and the stairs turned out exactly the way you painted. Thanks to a clear reduced product scheme on millimeter paper, you can find errors in the calculations. More with this picture, you will be much easier to calculate the number of steps and other parameters.

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