22/12/2019
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First of all, you should determine the size of the opening in the ceiling (depends on the length of the tread) and the distance between floors (determines the number of steps). It is also necessary to consider the angle of twist of the spiral staircase. With the passage of the full range of the spiral staircase you end motion at the same point across, where it started. If you build a ladder in the middle of the room, the entrance to the stairs and exit from it can be arranged in any convenient location. However, if you install a ladder in a corner or against a wall, pay attention to the direction of rotation and determine the point of entry and exit from the stairs, it is likely that you will have to give up the 360° rotation of the stairs and we take the other corner. The loft-style homes have to take into account the height of the overlap to avoid hitting his head on the design of the attic as when driving, and when you exit the stairs.
Before the construction of the stairs need to draft, in determining the length of the tread and the number of stages. Suppose that we design a spiral staircase to the angle of rotation of 360°, a diameter of 2 and 3 m high.
Getting to the design of the stairs. The circumference of the ladder (Fig. 13, 14) rotation of 360° is calculated using the formula: L = 2πR. The circumference along the trajectory calculated by the formula L = 2πr, where r = 2R / 3, since the middle line motion along the helical staircase is located 2/3 of the radius of the ladder. Therefore, the circumference along the midline of the motion amount L = 4πR / 3 = 4×3,14×1000/3 = 4187 mm (4.19 m).
With these calculations we have sweep the stairs, corresponds to the usual odnomarshevoy stairs. At the height of floors (from floor to floor) 3 m height of the steps to take rational steps of 150 or 200 mm, while the number of lifts will be 20 or 15. Assume that stopped on a variant of stairs with 15 lifts. For 15 lifts require 14 steps, the last step 15 also serves as a landing. The width of the last step we can take to the width of the two series of stages or three or four. It is important to understand that entering the first stage, the overall height is reduced by the height of the steps, and ladders with 360 ° rotation of the head space. With 15 climbs the ladder height of each step is obtained by 200 mm. So, at a height of 3 m floor we can prevent the installation of site-wide 4-stage. Climbing up to the fourth step, we lose 800 mm height, and above his head is still more than 2 m.
We calculate the width of the tread of our ladder midline movement. It should be subject to the following formulas: 2a + b = 600 ... 640 mm, or a + b = 450 ± 20 mm. Substituting the step height in the formulas we obtain that the width of the tread from the first formula should be between 200-240 mm, 230-270 mm second. And what we have in reality? Divide the length of 4187 mm on the scanner 14 steps, we get 299 mm. It is the size of a standard ladder sold on the construction market, we will change it somewhat, as a step to lifting height does not pass by the formulas ergonomics - it is too broad. It turns out the increased width of the step (2×200+ 299 = 699 instead of 620 mm). It is advisable to increase the number rises to 17 (16 steps plus platform). Then the width of the tread will be: 4187/16 = 262 mm and the height rises 3000/17 = 177 mm. Moreover, 16 lifts will be at 177 mm, and the very first climb to 9 mm below - 168 mm (168+16×177 = 3000 mm). These dimensions stairs meet the requirements of ergonomics and allow us to make the width of the upper platform of five steps, as climbing the stairs, we can afford to lose in height up to one meter, and it is at least 5 lifts.
It should be added that counting the number of steps carried out by the usual method of selection. You just have to share the floor height to a different number of ascents and see what gets the size of the height and width of steps and how they comply with regulatory formulas, that is, the width of the pitch man. When the height of the ladder is not evenly divisible by the number climbs to within a millimeter, you should increase or decrease the height of the first step. The difference in size is less than 10 mm, that is virtually imperceptible. All the other steps of the march should be exactly the same in both the width and height. A small deviation in height between the first step and the rest may be because we can not radically change the height of the floor: it is what it is. We can tweak it a little thickness flooring and adjust the height so that it evenly divisible by the height of the boom, and if this is not possible, change the height of the first step. Calculating the width of tread more loyal. We can always slightly increase or decrease the size of the ladder in terms of making all the steps of the same width, so it is a question about the balance of no more than 10 mm. The spiral staircases even easier, all the steps are done openly and winder (without riser), ie steps "run up" to each other. Slight broadening treads will not affect the lower rung a little deeper "zabezhit" at the top.
The width of the tread along the trajectory defined, now we need to calculate the width of a step in the narrow part. Steps are usually strung on a steel pipe with a diameter of 50 mm, to increase the rigidity of the rack and fixing steps at a certain height between the rungs are inserted steel liner and machined on a lathe washers. Consequently, the overall diameter of the central support column will be increased. Furthermore, a narrow stage portion is drilled with a diameter of 50 mm, so that the step is not broken, it must extend by adding in all directions around the hole size, equal to one diameter (50 mm). Thus, it turns out that the width of the narrow part of the tread in the attachment to the casing will be 50 + 50 + 50 = 150 mm.
We expect the tread width in the widest part of the steps. The circumference will be: L = 2πR = 2×3.14×1000 = 6280 mm. Number of steps - 16 (17 lifts). Hence, the tread width in the wide portion equals steps 6280/16 = 393 mm. Thus, the estimated size of the tread stages (Fig. 60) comprise a narrow portion 150 at the line of motion (at a distance of two thirds of the radius) - 262, in general parts - 393 mm. The stage can be made to these dimensions, but in reality the form of steps simplify connecting line marking the wide and narrow parts of the tread. The size of the width of the tread on the line of motion is increased. However, this alleged increase step is really getting wider, but when the ladder is fully assembled, the tread width of the line will be equal to the calculated movement. Steps just "zabegut" to each other.
The calculation of the size of the spiral staircase tread
Fig. 60. The calculation of the size of the spiral staircase tread (in mm.)
Do not forget that we have obtained estimates are valid only for the size of the radius of the staircase is 1 m. When you change the range or change the position of the line of motion, for example, by taking it equal to the R / 2, the size of the tread will be different. Why you can change the position of the line of traffic? Because people do not unknowingly walk erect either drawn or imaginary line. The spiral staircase where the wedge-shaped stage, the size of the tread is reduced from the outer boundary of the stairs to the center. As if we did not expect a line of movement, one leg still is on the widest part of the stage, the other on the narrow. Many manufacturers of spiral staircases have long ceased to reflect on this issue and make their ladders with rises of 200 mm (14 degrees, 15 lifts), and the width of the tread they do so, how it turns out, depending on the diameter of the staircase. A man who uses the stairs, he will find where it is more convenient to go close to the edge or closer to the center.
All of the calculations were carried out along the circumference and arcs. Due to the complexity of the application of these values for the navigation layout of stages used in the calculation of the best chord. Chord length is calculated by the formula c = 2Rsina / 2. Those who calculate the sine seem too difficult, you can refuse to consider such a calculation and chord equal to the corresponding lengths of the arcs, but note that in this stage will be wider than it is necessary, therefore, an overhang of one over the other will be more.
To determine the size of the upper stage - the landing need to understand how the ladder will be oriented in the room. Ladder round, it can be rotated as you like and provide a convenient approach to it, but you need to consider how to make a way out of it. Dimensions platform are calculated based on the layout of the second floor. Some solutions accommodate landings shown in Figure 61.
Options for the location of staircases spiral staircases
Fig. 61. Options for the location of staircases spiral staircases
Now we need to prepare for a ladder in the ceiling opening the top floor. The opening is designed in the manufacturing process drawings of the whole house, and left open during construction. If it is, for whatever reason it did not happen, the opening cut out in the finished ceiling. The shape of the opening may be square or circular. The main condition, the size of "the clear" retained or sawed opening should be larger than the diameter of the stairs at least 20 cm, that is 10 cm on each side.
We will look at the production of a circular aperture, the more complicated. The rectangular opening is similarly describes a method, but it does not require a frame formed sections.
Mark the planned opening on the lower surface of the floor (Fig. 62), adding all sides needed to finish thickness and move the markup with a plumb line on the ceiling. Install adjustable jack stands, as shown in the figure. In the center of the opening in the top, drill a hole through the ceiling from the bottom up. Go upstairs and get the drilled hole. Insert the pin into the hole and with the help of string and a pencil draw a circle, indicating the opening considering the thickness of the beams framing the doorway. Make the through-holes for the passage of a jigsaw blade and drank the floor of the contour of the opening. Knock sawn pieces of floorboards. Bearing joist is not touch, they drank, when it is ready to finish opening.
Marking stairwell
Fig. 62. Marking stairwell
For the device beam aperture having a circular shape, it is necessary to make bend lumber. The bend can be done in several ways, but the easiest way to bending, available at home, "holodnokleevoy." The large and flat table, upholstered roofing tin (tin trim table will not allow the bonding element to the manufactured surface of the table), installed steel or wooden swirling, forming the required diameter (Fig. 63). To the table away from the swirling slightly larger than the thickness of the element is bent, fixed wooden or steel supports. To ensure good crimp height and stops whirling selected more than is required for this item. On how quality will be made whirling, it determines the quality of the bent structure. Instead stops and wedges may be used a clamp.
Table for the manufacture of bent wood construction
Fig. 63. Table for the manufacture of bent wood construction
Bent beam is made of veneer, so called thin sheet of wood. Depending on the method of manufacturing a distinguished peeled, crushed and sawn veneer. Rotary cut veneer thickness 0,25-1,66 mm is the most common. Quality peeled, crushed and sawn veneer about the same.
The whole process of gluing can be compared with the manufacture of paper mache paper. The conductor sequentially inserted previously missed glue strips of wood veneer and crimped wedges. The first and last band veneer should be full length and bent into a ring, the middle can be filled with shorter pieces. All veneer strips made of 5-10 mm height greater than that required for subsequent grinding and ostrozheks obtained product. For better crimp allowed to use screws, countersunk screwed that will forever remain in the ravine. The process of manufacturing a bent beam, depending on its thickness may be performed in one or several stages, i.e. in the conductor can charge the entire package or only a portion of the veneer, for instance, half the thickness, and after drying, the next half. In order to achieve a higher quality of work can be placed in the conductor on one layer, compressing, drying and paste the next layer. The speed of the fall markedly, but improve the quality of crimping, therefore, the entire beam. But at the same time we should not forget the main rule: all bonding layers should be about the same humidity.
After drying and gluing curved beams framing the opening set in the ceiling. For this cut out in the floor girders and fixed frame (Fig. 64). Bent structure attached to the existing joists angled plates or metal toothed plates (MW). For the finishing of the opening you need to make two rounded plinth and install them on the screws above and below the opening. Skirting boards are manufactured in the same jig with the only difference is that they are made slightly wider beam and considerably lower