Prefabricated adjustable hollow concrete steel stairs

Abstract

The title of the invention is "Adjustable Prefabricated Hollow Steel Concrete Stairs" and it is classified in the field of "Adjustable Prefabricated Stairs". The main obstacle in the prefabrication and industrial production of stairs in buildings and the lack of access to a suitable module to solve the problems of implementing stairs in buildings is the existence of independent variables including the height of the stair head and the width of the stair tread in this category. These variables can easily vary depending on the conditions of the executive plans and the project status in terms of dimensions, size, and number of floors for different projects and even in different parts of the same project. This has led to the fact that despite many efforts and various patents in this field, there is no definitive solution to solve this problem. Using the results of this invention, we will be able to cover all types of stairs with a front height ranging from 16.5 to 21 centimeters and a tread width ranging from 27 to 31 centimeters, completely independently and independently of each other, using a prismatic model with a fixed cross-section and using geometric and engineering techniques. To do this, we use a piece of trapezoidal steel sheet to correct the angle of the lower part of the piece and match it to the desired angle of the step. We then arrange it along the slope of the step at intervals of the chord of a right-angled triangle with the sides of the height of the front and the width of the tread.

Description

Description of the invention Title of the invention Prefabricated adjustable hollow steel concrete stairs. Technical field of the invention The technical field of the invention is in the field of prefabricated adjustable stairs. Technical problem and statement of the objectives of the invention In parallel with the progress in the industrialization process in other applied sciences, the science of construction engineering has not been left out, and every year we witness advances in this field, like other branches of science. The presence of stairs in any multi-storey building is one of the main requirements of a building, and at the same time, according to what is common and common in the minds of the public and those involved in the implementation of projects, its implementation is one of the most challenging components of construction projects. Geometric complexities and the existence of independent variables, such as the height of the front and the width of the stair tread in a project and even in different parts of a project, have caused that, despite the many efforts that have been made in the field of industrialization in this field, a definitive and comprehensive solution for industrial and prefabricated production, along with standardization and creation of appropriate modules in this regard, has not been presented. At the same time, when it is dealt with scientifically and meticulously, it is one of the components of the building that appears complex but actually follows classic and repetitive rules in all projects. These rules are an integral part of all construction projects and have been repeating and multiplying for an incredible long time. It is enough not to be overwhelmed by its complexities and to deal with it in a logical and principled way so that it can be resolved and implemented once and for all. By searching the databases of patents in this field, we come to the conclusion that there are no patents registered in order to provide a model with the ability to adjust both the height of the front and the width of the tread independently, and generally, attempts have been made to solve this problem by assuming one parameter to be constant and the ability to change the other parameter or by creating a linear relationship and reducing one parameter and increasing the other parameter. At the same time, they often include mechanisms that, due to the complexity and unfamiliarity of the intended mechanisms, have practical and executive difficulties and do not have a convenient and tangible application. For the above reasons, the generality of the issue has not been resolved and these solutions have not been institutionalized in the construction industry in a proper and effective manner. Therefore, so far, a definitive and comprehensive solution for all the required situations has not been provided to solve the problem. For clarity, reference is made to the diagram in diagram number (1). The basic assumption in drawing this diagram is that the range of the stair tread is within the range of 270 to 310 mm on the X axis (b) and the range of the stair head height is within the range of 165 to 210 mm on the Y axis (h). The ranges mentioned, regardless of the existing local and international standards, represent the range of changes of these two parameters in the vast majority of practical projects, and in other words, it is unlikely that a staircase in a building with conventional and usual dimensions and sizes will not be within this range. It should be noted that the ranges mentioned in the above diagram relate to internal and connecting spaces of floors and do not include types of stairs in open spaces and landscaping. As can be seen, this graph represents the locus of points that are located within this range and is divided into 5 regions as follows. It should be noted that this division is presented solely for the sake of clarity and does not play a direct role in presenting the principles of this invention. In the relationships presented, h represents the height of the stair nosing and b represents the width of the stair tread. Dimensions and measurements are in millimeters. -Area number 1 includes the geometric location of points that 165 <h<180 , 6 3 0 < 2h+b < 6 4 0 -Area number 2 includes the geometric location of the points that 180 <h<185 , 6 3 0 < 2h+b < 6 4 0 -Area number 3 includes the geometric location of the points that 165 <h<180 , 60 0 < 2h+b < 6 3 0 -Area number 4 includes the geometric locus of points that 165 <h<210 , 6 4 0 < 2h+b < 6 9 0 -Area number 5 includes the geometric locus of points that 190 <h<210 , 6 9 0 < 2h+b <73 0 Based on existing architectural standards and based on the linear relationship proposed between the height and width of the stair tread, only range number one is acceptable. However, today, considering the institutionalization and use of elevators in buildings and the fact that staircases in buildings are generally and solely used for emergency and escape purposes during operation, in reality, the work has been extended beyond range (1) of the diagram and, depending on the dimensional needs of the design, the entire range of the diagram has been included. Of course, as mentioned, this zoning has no direct connection with the principles of the proposed invention, and based on the results of this invention, the selection of the height and width of the stair tread is completely at the disposal of the project designer. Using the results of this invention and with complete freedom of action, the project designer will be able to easily and without any restrictions select and place the geometry of his desired staircase in the project location while maintaining the standard limits and the dimensional restrictions he desires. It is noteworthy that, according to the search for similar inventions in this field and in comparison with the present invention, the scope of each one only includes one line in the above-mentioned graph of diagram number (1) and their scope of application is limited and does not encompass all different situations. In short, by utilizing the advantages of this invention with a prismatic form and piece and without any limitations, we will be able to produce and place the types of steps required in the five hatched areas of the above-mentioned graph. The only thing that can cause changes in the shape of the step tooth piece is a change in the step width, which, considering the fixed and prismatic form used, can be easily changed and used without the need for fundamental changes in the production line.Of course, this issue is also rare and special in a way because, based on existing architectural standards, the minimum stair width for most buildings is 110 centimeters. Generally, project designers, due to lack of need, as well as savings in construction costs and allocating as much of the substructure as possible to the useful space of the projects, try to be content with the same minimum stair width, i.e. 110 centimeters. In short, the subject is summarized as follows: based on the results of this invention, we will have a form and a piece that, without any change in its dimensions and cross-sectional size, covers all possible and conventional geometric dimensions between 16.5 to 21 cm for the height of the stair head and 27 to 31 cm for the width of the stair tread in a completely independent manner. This piece is produced and processed in the required number of pieces for the project at the factory site, and after transporting the work piece, it can be easily installed, welded and operated at the site. Description of the state of prior technical knowledge A search of the patent database will reveal a multitude of manufacturing methods for prefabricated stairs in various shapes and methods. A large group of these inventions lack the ability to be adjusted and are mainly produced with a rigid and integral form. This rigidity and inflexibility cause the results of these products to have only specific uses and are mainly used for structures that are themselves often prefabricated and are produced and used for predetermined dimensions and sizes. In other words, the aforementioned formwork equipment is useless with changes in the height or width of the stair tread, and ultimately leads to their inability to find general use. Each of these inventions represents a point in diagram number 1. For example: In patent number 20220228381 in 2022, Zhejiang University Co., Ltd. disclosed a stair tread system that lacks any adjustability for the height and tread. In patent number 215848782 in 2022, XINGTAI SENCHENG ZHUGONG TECHNOLOGY Co., Ltd. has disclosed a stair tread system that does not have any adjustment capability for the height and tread. In this system, some kind of step width control is provided. In patent number 112265115 in 2021, SHANDONG ACADEMY OF BUILDING RESEARCH CO.,LTD. has disclosed a stair formwork system that lacks any adjustability for the height and tread. In patent number 212948360 in 2021, GREEN BUILDING TECHNOLOGY Co., Ltd. has disclosed a stair formwork system that does not have any adjustment capability for the height and tread. In this system, the width of the stairs is somehow controlled. In patent number 211566307 in 2020, JINAN OYADE INTELLIGENTMACHINERY CO.,LTD. has disclosed a stair tread system that lacks any adjustment capability for the height and tread. In patent number 212241489 in 2020, HL GREEN BUILDING TECHNOLOGY CO.,LTD. has disclosed a stair formwork system that lacks any adjustment capability for the height and tread. In patent number 111037721 in 2020, GUANGXI CONSTRUCTION ENGINEERING RAIL ASSEMBLY PRECAST CONCRETE CO.,LTD. has disclosed a stair formwork system that lacks any adjustability for the height and tread of the stairs. In patent number 211074055 in 2020, HUNAN BROAD ENGINEERING DESIGN CO.,LTD. has disclosed a stair riser system that lacks any adjustability for the height and tread. In patent number 210148368 in 2020, GUANGDONG GIANT LEAP CONSTRUCTION CO.,LTD. has disclosed a stair formwork system that lacks any adjustability for the height and tread. In patent number 210651216 in 2020, MENGCHENG BAOYE BUILDING INDUSTRIALIZATOIN Co., Ltd. has disclosed a stair formwork system that does not have any adjustment capabilities for the height and floor of the stairs. In this system, the width control of the stair device is somehow foreseen. In patent number 210369631 in 2020, INTEGRATION TECHNOLOGIES CO., LTD. ZHEJIANG GREEN BUILDING has disclosed a stair tread system that lacks any adjustment capability for the height and tread. The form created is designed in such a way that the stair tread produced from the sides is secured to a pre-positioned connecting seat bracket by means of a bolt and nut connection. In patent number 208396178 in 2019, NANJING DADI CONSTRAUCTION TECHNOLOGY CO.,LTD. has disclosed a stair formwork system that lacks any adjustment capability for the height and tread. In patent number 207714749 in 2018, WENZHOU ZHONGHAI CONSTRAUCTION CO.,LTD. has disclosed a stair formwork system that lacks any adjustment capability for the height and tread. In patent number 207972106 in 2018, SHANDONG QIXING INDUSTRIAL CO.,LTD. has disclosed a stair riser system that lacks any adjustment capability for the height and tread. In patent number 206123903 in 2017, ANHUIY UHUI CONSTRUCTION INDUSTRY MODERNZATION DESIGN AND RESERCH INSTITUTE CO.,LTD. has disclosed a stair formwork system that lacks any adjustment capability for the height and floor of the stairs. The formwork system is designed in such a way that, with the aim of lightening, the stairs produced are hollow from the bottom. In patent number 2004360392 in 2004, FUKUOKA KANAAMI KOGYO KK, GM STONE KK, disclosed a stair tread system that lacks any adjustment capability for the height and tread. The formwork system is designed in such a way that the stair tread is manufactured from pre-installed points to connecting elements that are already positioned on the stair stringer by means of bolted connections. In patent number 1999303349 in 1999, TAKENAKA KOMUTEN CO.,LTD. has disclosed a stair tread system that lacks any adjustment capability for the height and tread. The formwork system is designed to be welded and fixed to the metal elements of the concrete stair ramp at four pre-installed points. In patent number 4995205 in 1991, BENNETT ELDON R Company disclosed a stair nosing system that lacked any adjustment capability for the height and tread. Subsequently, we come across inventions that provide some kind of adjustability in their system, of course with a series of restrictions such as, for example, its mechanism is designed to provide a linear range of stairs required by the projects by keeping the width of the stair tread constant and varying the height of the stair face. (Lines parallel to the Y-axis in Diagram No. 1) or conversely, by keeping the height of the stair face constant and varying the width of the stair tread, to provide another linear range. (Lines parallel to the X-axis in Diagram No. 1). For example: In patent number 215631155 in 2022, HUNAN DONGFANGHONG CONSTRUCTION GROUP, HUNANDONGFANGHONG PREFABRICATED BUILDING TECHNOLOGY CO.,LTD. has disclosed a stair formwork system that allows the width of the stair tread to be changed with a fixed height of the stair head. In patent number 212859847 in 2021, CHONGQING DAYE INTELLIGENT BUILDING INSTITUTE CO.,LTD. has disclosed a stair formwork system that allows the height of the stair nosing to be changed with a fixed tread width. In patent number 111633792 in 2020, SHANDONG GUANYE MAGNETICINDUSTRY TECHNOLOGY CO.,LTD. has disclosed a stair tread system that allows the height of the stair riser to be changed with a fixed tread width. In patent number 207290431 in 2018, CHINA MINGSHENG DRAWIN TECHNOLOGY INVESTMENT LIMITED disclosed a stair tread system that allows the width of the stair tread to be changed with a fixed height of the stair tread. In patent number 108839211 in 2018, SOUTHEAST UNIVERSITY Company disclosed a stair tread system that allows the width of the stair tread to be changed with a fixed height of the stair tread. In patent number 104552576 in 2017, SHANGHAI BAIJIE INDUSTRIAL CO.,LTD. has disclosed a stair tread system that allows the height of the stair tread to be changed with a fixed tread width. In patent number 08262055 in 2012, Any Step Technology Limited disclosed a stair tread system that allows the tread width to be changed with a fixed riser height. In patent number 1998180734 in 1998, TOKYU KOKEN CO.,LTD. has disclosed a stair tread system that allows the height of the stair tread to be changed with a fixed tread width. The process is carried out in two stages. We also see inventions where, by decreasing or increasing one variable, the other variable increases or decreases in a linear and dependent manner (diagonal lines in Figure 1), which represent another group of steps depending on the shape and slope of the line created. For example: In patent number 204309089 in 2015, HUBEI HONGYI STEEL CONSTRUCTION ENGINEERING CO.,LTD. has disclosed a stair tread system in which both the tread width and the riser height are changed in a dependent manner. In this system, by increasing or decreasing each parameter, the other parameter is decreased or increased. In patent number 5511347 in 1996, SCHWARZ; HORST GW has disclosed a stair tread system in which both the tread width and the riser height are changed in a dependent manner. In this system, as each parameter increases or decreases, the other parameter decreases or increases. It should be noted that each of these inventions represents only one line in diagram number 1 and is not responsible for covering the entire geometric space of the above-mentioned diagram in any way. In other words, for each line drawn in the diagram, specific mechanisms must be produced, which logically has no economic justification and does not provide an operational solution for covering all points of the geometric space. In other words, in using the results of these inventions, the designer and architect of the projects are always in constraints and lose the necessary initiative in the process of designing and selecting the height of the stair nosing and the width of the stair treads they want independently. However, it seems that given that in the present invention, all dimensions of the step production mold are fixed and there is no variable for the cross-section of the concrete piece, and it also creates complete freedom of action in creating steps with various sizes of step tread width and step head height within the range of diagram number (1), there are fundamental differences from the technical, content, and ease of implementation and achievement of the results obtained, which completely distinguishes this invention from previous inventions in this field. Providing a solution to the existing technical problem along with a detailed, sufficient and integrated description of the invention The three-dimensional model of the proposed stair tread for the present invention is shown in the figures of drawings (2, 3, and 4). This three-dimensional model includes a prismatic piece with a trapezoidal and hollow cross-section as shown in detail (1) made of thin-walled reinforced concrete or fiber concrete or other selected materials, which is equipped with a shield-shaped metal piece, detail (2). The two-dimensional model of the proposed three-dimensional form is shown in drawing (5), and the shield-shaped metal piece, as shown in detail (2), consists of two steel sheets that are welded and prepared in the form of a shield before concreting the piece and are installed and fixed in the form by welding the dowel connection shown in detail (3), four for each shield piece, in the predetermined place, and then the reinforced concreting operation is carried out with the specified and designed mixing plan and the desired concrete is cast. The dowel connection is designed to ensure a proper and stable connection between the concrete piece and the metal shield.The preparation of steel sheets is carried out as follows: Steel sheet number 1 is cut and prepared in a rectangular shape with default dimensions (4 × 80 × 120) mm according to drawing number (6), and steel sheet number 2 is cut and prepared according to the pattern presented in the drawing from the sheet with default dimensions (4 × 100 × 120) mm according to drawing number (7) as follows. The key point and solution to the problem of flexibility and adjustability of the idea of ​​this invention is in the preparation of sheet number 2 with a fixed template, and it is done as follows. 1 - Based on the desired dimensions of the design and project requirements, the angle is calculated for the width of the stair tread (b) and the height of the stair front (h). 2- According to the proposed step tooth piece in drawing number (8), we will name the angle of the slope bearing of the piece with the angle. 3- The difference between angles α and β (= α – β) is the same as the cutting angle of sheet number 2 as described in drawing number (7). If the angle is positive, it will have a rotation in the trigonometric direction, and if it is negative, it will include a rotation in the opposite trigonometric direction. In other words, according to the figure in drawing number (7): In the parameters mentioned, A and B are the bases of the trapezoid resulting from the cut. In the assembly of the part, the face of parameter A is always placed upstream and parameter B is placed downstream. Drawing No. (8 and 9) 4 - This cut produces two metal sheets that complete the two shield connections in one piece of stair tread. It should be noted that today, by utilizing modern technologies and using CNC or similar cutting systems, we can perform the cuts related to sheet number (2) with high precision. By placing the metal shields and producing the required number of stair teeth, we will have a staircase that meets the requirements of the tread width and the height of the desired stair face. It is enough to arrange and weld the manufactured parts along the upper wing of the stair stringer, which have been prepared and placed at the same angle, at equal intervals along the chord of a right-angled triangle (L), whose sides represent the tread width and the height of the stair face [L=(b2+h2)1 / 2.] In drawing number (9) the two-dimensional design and in drawing numbers (10, 11, and 12) the three-dimensional model design of the result of this process and the final assembled staircase are shown. In this way, we will have a staircase with the dimensional specifications required by the project. Regarding the gap created in the inner corner of the stair treads, which is shown in drawing number (9), detail number (3), depending on the height of the stair front in the desired range, this gap can vary from 5 to 50 mm, depending on whether the staircase will ultimately remain exposed or the final finishing will be done on it. In the case of using the exposed, it is possible for this gap to be open, and in the case where it is necessary to finally finish and furnish the created stair, as shown in drawing number (13), the sealing is done with various types of cement-based sealants or industrial foams or by using a light steel sheet in the form of a flush with a corner section as shown in detail number (4) and is executed and finalized simultaneously with the implementation of the floor carpet materials. However, the stair treads are created in the form of a beam with a simple hinged support and two cantilever ends, and the presence of the created June joint does not have the slightest effect on the performance of load distribution and load transfer from the stair tread beam to the staircase stringer. Explanation of shapes, maps and diagrams Map No. 1: Geometric location diagram of tread width and stair nosing height. Drawings No. 2, 3, and 4: 3D model of the requested stair tread. Showing details 1 and 2. Map No. 5: Two-dimensional map and three views of the requested stair tread. Map No. 6: Detail sheet Pos 1. Map No. 7: Detail sheet Pos 2. Map No. 8: Schematic view of the basics of invention and preparation of sheet Pos 2. Map No. 9: Details of the location of the seam cutout, Detail 3. Drawings No. 10, 11, and 12: 3D model of the final assembled staircase. Map No. 13: Joinery and flooring details and showing flashing detail 4. Discontinuity joint filler. Map No. 14: Drawing Example No. (1) Map No. 15: Drawing Example No. (2) Clearly and precisely state the benefits of the invention In line with the many efforts and numerous plans to provide a solution for the prefabrication and industrialization of the implementation of adjustable stairs, the references of which are provided in the description of the state of the prior art, in this invention, by creating a fixed prismatic form using selected and suitable materials that have been hollowed out with the aim of lightening so that its weight is reduced to the minimum possible, a single piece is formed with the help of a shield connection. The technique presented in preparing and connecting the shield to the piece enables us to easily produce, install and place the required staircase that matches the geometry requested by the project designer by adopting a step length equivalent to the chord of a right-angled triangle consisting of the height of the stair head and the width of the stair tread. Advantages: 1- By creating a fixed form, the user will be able to independently produce and place the required types of stairs with the required headroom height and tread width of the project designer and within the limits of graph number (1) with complete freedom of action. 2- The presence of a fixed form and section in this design, with the ability to be used in all projects and the elimination of costs related to formwork for each project, can play an effective role in reducing total costs compared to other traditional and prefabricated methods of implementing stairs in buildings. 3- With the aim of lightening and exploiting its direct and indirect benefits, the part is designed as hollow. The final weight of the part is such that its installation and assembly can be easily done without the need for special machinery and mechanisms and relying on human power. 4- The final weight of the implemented staircase, compared to other common traditional or industrial methods, has been reduced by 50 to 70 percent, with a reduction in dead load in the staircase area, which alone is of extremely high importance. 5- Considering that the staircase beam structure is generally designed to transfer gravity loads and the stair structure has no role in counteracting lateral forces, especially earthquake forces, on the structure, lightening in this area will play an effective role in reducing the interactions of earthquake forces on the structure and, as a result, lightening other structural elements. 6- Due to the constant cross-section of the prismatic piece, changing the step width can be achieved with a small change in the production line mold system and without the need for fundamental changes in them. 7- In comparison to the usual and traditional methods of constructing stairs, in which the treads are formed in the final stages of the project's joinery, using this method enables us to place the stairs in the earliest stages of the skeleton and roof construction, and we benefit from the countless benefits of having a safe staircase in the building under construction and during the project's execution. 8- Unlike all traditional and common methods, in this method, there is no need to implement a stair slope to form the stairs by implementing a slab, and without the need to implement a stair slope, the stairs are implemented directly on the sword beams. 9- Due to the certainty and possibility of creating high precision in the execution of stairs in this method, as well as prefabricated production with high elegance and precision, it is possible that the stairs can be executed in an exposed form and do not need to perform joinery steps, and with this, considerable savings will be made in terms of economy and also double lightening of the structure. 10- Although due to the special and angular shape of the stair tread, this piece is highly impact-resistant and bendable, if for any reason a piece of the stair set is damaged or broken during the project, a new piece can easily replace the damaged piece without the need for special precautions. 11- For buildings that use this stair system, there is this capability: during the demolition and renovation of the building, the stair treads can be dismantled and reassembled and used by modifying the POS 2 sheet. This idea will prevent the creation of construction waste resulting from demolition and will bring significant economic savings to the project. At least one method of implementing the invention Example 1: For example, let's assume that in the project for the first floor, we need stairs with a tread width of 30 cm and a riser height of 17.75 cm. Step 1: Calculate the chord length L and the angle of the carrier. L = (b2+h2)1 / 2L=(302+17.752)1 / 2L = 34.86 cm α=arc tan (h / b) 30.61 Given the prefabricated piece, we have the angle. 32.32 We calculate the angle = - 1.71AB According to the pattern presented in drawing number (7), sheet number (2) is cut and the required number of step teeth is produced using this sheet. In the production of parts, care is taken that according to the definition of parameter A, it is always placed upstream of parameter B. The resulting step drawing result is shown in drawing number (14). Example 2: Now let's assume that in another situation of the same project, due to geometric constraints, a stair with a tread width of 28 cm and a riser height of 19 cm is required. We proceed exactly as in Example 1 and we have First step: Calculate the chord length L and the bearing angle α L = (b2+h2)1 / 2 → L = (282+192)1 / 2 → L= 33.84 cm α = arc tan (h / b) → α = 34.16° Considering the prefabricated piece, we have the angle β. β = 32.32° We calculate the angle → = 1.84 ° > 0 → A < B According to the pattern presented in drawing number (7), sheet number (2) is cut and the required number of step teeth is produced using this sheet. In the production of parts, care is taken that according to the definition of parameter A, it is always placed upstream of parameter B. The resulting step drawing result is shown in drawing number (15). Explicit mention of the industrial application of the invention if the nature of the invention does not indicate this. The application of this invention is generally in the construction industry and for the implementation of stairs with the conditions set forth in the description and attached drawings in multi-story buildings and in general wherever a connection path between two different levels is required by stairs, regardless of the use of the building, in a general manner and without any restrictions and within the framework of the area specified in the geometric location graph (Diagram No. 1).

Claims

Claim No. 1: What is claimed is a piece of reinforced concrete, fiber concrete or polymer concrete or other selected materials with a trapezoidal and prismatic cross-section, which is hollowed for lightening purposes, with a fixed size and length parameter of the piece that is selected and produced in accordance with the design requirements and executive drawings, by a steel shield-shaped connection that is equipped from below [Figures No. (2, 3, and 4) and drawing No. (5)], in total, it evokes the image of a number of stair teeth, which are placed one after the other with the required slope, with the tolerance provided for it from the vertical side (stair face height). The stair teeth with the desired stair face height range from 16.5 to 21 cm and at the same time with horizontal slips (stair tread width) from 27 to 31 cm, the lower metal shield connection is prepared in such a way that the lower vertical sheet [Drawing No. (5 and 7) metal sheet No. (2)] is cut and welded specifically with the required compensation angle of the stair slope, for each desired tread width and stair front height, the cutting angle will be the difference between the desired stair angle and the angle existing on the lower face of the trapezoidal section of the piece. Claim No. 2: By producing the required parts for the stair treads and also preparing and welding sheet No. 2 with the appropriate cutting angle, in accordance with (Claim No. 1) in the required number in the project, and by arranging and welding the parts on the stair risers, which have also been prepared with the same desired angle as the stair, to the distances of the chord of a right-angled triangle consisting of the sides of the stair tread height and the width of the stair tread, we will achieve a staircase that is dimensionally consistent with the project's requirements and achieves the desired stair tread height and width of the design.

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