/ How to calculate the optimal angle of the ladder?

How to calculate the optimal angle of the ladder?

The construction process involves strictobservance of certain standards and rules. They were developed not one year. Accurate calculation and experience of builders allowed to create clear rules for each stage of construction.

Almost every house needs a staircase.Depending on the type of construction, it can be either a small screw, or a wide march. But for each similar object it is required to observe certain rules. When choosing the angle of the stairs, pay attention to some parameters of the room. This allows you to create a comfortable object. It is convenient to climb and descend along such a ladder. The process of its creation will be discussed next.

General concept of slope

Многолетний опыт строителей подсказывает, что The most comfortable angle of inclination of the stairs is the indicator from 30 to 45 degrees. However, convenience is not the only parameter to rely on when building such an architectural element. The limited space also affects the angle of the stairs.

Angle of slope

A spiral staircase is preferable ifthe room does not differ significantly in size. Marching species require sufficient space. After all, to create a comfortable slope you need a flight that will take a significant place.

A steep staircase is not only uncomfortable, but also dangerous.If the angle is more than 45 degrees, the climb will be difficult for children and the elderly. Such stairs are acceptable in a country house, if they are not very often used.

If the angle of the slope exceeds 50 degrees, it will be possible to climb it only with the help of hands. This causes certain inconveniences.

Maximum slope

For each kind of object there isthe maximum index in (angle of inclination) degrees. Stairs can be household, side, ramps, household or evacuation. For internal purposes, a gradient of less than 30 degrees is almost never used.

The maximum angle for household objects thatare inside the living quarters, is 45 degrees. For ramps, this figure is even smaller. When creating such an object, it is inadmissible to make the slope of the plane more than 30 degrees.

The angle of the stairs to the second floor

But here for the ladders, the maximum gradecan reach almost 75 degrees. But in a residential building such an architectural object is not very useful. Also, evacuation ladders can have a slope of more than 75 degrees. But these are specific species. Therefore, a maximum gradient of 45 degrees for living spaces should be taken into account. Some increase this parameter is allowed only in very limited space.

Comfort

To the angle of the stairs to the second floor wascomfortable both during the ascent and descent, it is necessary to take into account not only the maximum, but also the minimum slope. If the dimensions of the room allow, you can make the slope of the plane from 40 degrees.

But even with a sufficiently large area of ​​the room, the ladder should not be inclined less than 30 degrees. The climb will be convenient, but going down will be quite hard and even dangerous.

Angle of inclination degrees of ladder

To avoid such trouble,make calculations before construction. Also need to pay attention to the railing. If there are more than three steps in the structure, this element of the ladder is simply necessary. Comfort increases the same amount of steps.

Settlement system

Choosing the optimal angle of the ladder,it is necessary to make a certain calculation. For this, the bearing capacity of the elements of the entire structure is taken into account. They are divided into cantilever or single-span beams. Then certain formulas are applied.

Optimal angle of the ladder

The ladder is a system that is exposeddynamic loads. Therefore, attention should be paid to the rigidity of all elements. Their deflection should not exceed 1/400 span. When calculating the load, they are added together by combining the weight of the structural elements and the temporary loads. The dwelling house demands to observe this indicator at a level of 300 kg / sq. M. m.

When carrying out the calculations, it should be taken into account thatThe doubled height of the rise of each step, summed with its width, is equal to the average human step. This indicator must be taken into account. The human step on the plane is 60-64 cm.

Carrying out of calculations

Studying the question of how to calculate the angle of inclinationstairs, it is necessary to consider generally accepted technology. This will help choose the slope of the plane correctly. In the process of carrying out the calculation, the above-considered measure of the length of a person’s step is taken during calm walking.

Каждый пролет ступеней рассматривается отдельно.The number of steps is taken into account, as well as their height. This is a fairly simple calculation technology. The ideal height of the steps is in the range from 15 to 18 cm. Their width should be from 28 to 30 cm. The foot size of people, who will often climb the stairs, is taken into account.

The angle of the stairs in the house

Taking into account the above figures, the calculation will be made according to the following formula:

2x + y = 580/660, where x is the height of the step, y is its width.

The lower the step will be lower, the wider it will be in a particular staircase. This is the standard.

Width

На основе приведенных выше данных можно calculate the angle of the stairs. A simple technology is used for this. Ladder is presented in the form of a right triangle. Its height and width are the legs, and the flight of stairs is the hypotenuse. Initially, it is necessary to determine the required and real place, which will occupy the width of the stairs in the room.

Having determined the parameters (depth) and the number of steps, they are taken into account. The first indicators are multiplied by the second. The result is the length of the horizontal projection of the span.

Next is considered such a parameter asfree space in the room, which may take a ladder. If the calculated value coincides with the real, you can move on. If the parameters do not match, it is necessary to carry out a correction.

Calculation of the length and angle of inclination

The length of the staircase in constructioncalled bowstring. Calculating the angle of the stairs in the house, you can use the well-known Pythagorean theorem. After all, the staircase is nothing more than a right triangle.

How to calculate the angle of the stairs

The legs are already known due to the previous calculations. The height of the stairs is the height of the ceilings in the room. Substituting in the known formula all the values, you can get the length of the flight of stairs.

To calculate the angle of inclination, you will also needmathematical formulas. The sine of the angle is found by dividing the height of the object by the length of the span. Then, using the table, the obtained result is compared and the real slope of the ladder is determined.

If you wish, you can use various programs that quickly, and most importantly, accurately calculate the result when making the appropriate parameters.

GOST rules

Determining the comfortable angle of the stairs,it is necessary to take into account the requirements of GOST and SNiP. Their basic provisions make it clear that in a house with more than two floors it should be single-span. The width of such structures is not less than 80 cm. If 2 people walk along it at the same time, this indicator increases to 1 m.

The number of steps of one march should be from 3 to 18 pieces. The number of steps is best done odd. It is more convenient for people to begin and complete the movement with the same foot.

Угол наклона плоскости при этом должен находиться in the range of 45 to 26 degrees. If this indicator is more than 50 degrees, apply objects of added type. A slope of less than 5 degrees is not required.

Some expert tips

Having correctly determined the angle of the stairs,need to consider some more tips. They will help to create a design not only convenient, but also safe. Experienced builders recommend making steps of the same height.

Convenient angle of the stairs
Otherwise, a person (especially at night) maystumble and fall. This is due to the fact that muscle memory suggests that at a certain height there should now be a step. Taking into account this, the weight of the body is transferred to the foot, but suddenly there are no steps below it. Even a small difference (only 2-3 cm) can cause injury. You can tuck your foot or even slide down the stairs. It is fraught with multiple injuries.

If the ceiling height is non-standard, it is allowed to lower the floor level of the upper platform slightly below the main floor level. You should not leave the step. Compensates for lifting a small ramp.

After getting acquainted with the technology of how to choose the right angle of inclination of the stairs, you can create a comfortable and safe object for almost any room.

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