JP6936780B2 - Roof frame design method and roof frame - Google Patents

Description

The present invention relates to a roof frame design method and a roof frame.

Conventionally, as a roof frame of a building such as a stadium or an arena, a compression ring on the outside and a tension ring on the inside are connected by a connection cable (radial cable) (see, for example, Patent Document 1). ..

Japanese Unexamined Patent Publication No. 7-109770

In the conventional roof frame design as described in Patent Document 1, the geometric shape of the roof frame and the prestress and static load acting on the roof frame are unknown. In this case, in order to maintain the balance of the forces of the roof frame, a high degree of nonlinear analysis must be performed, which complicates the design.

An object of the present invention is to provide a roof frame design method and a roof frame that can be easily designed.

The method for designing a roof frame of the present invention is a method for designing a roof frame in which a compression ring and a tension ring arranged inside the compression ring are connected by a connection cable, and is a step of setting a regular polygon. , The step of dividing the regular polygon into its respective sides, the step of independently moving each of the divided sides in parallel, and the first polygon whose apex is the point where the parallel-moved sides or their extension lines intersect each other. Of the step of setting the first polygon, the step of setting the second polygon concentric with the first polygon and the internal angle of the corresponding vertex is equal to the first polygon, and the first polygon and the second polygon. The outer polygon of is set at the position of the compression ring, the inner polygon of the first polygon and the second polygon is set at the position of the tension ring, and the apex of the first polygon is set. It is characterized by including a step of setting a straight line connecting the second polygon and the apex of the second polygon at the position of the connecting cable.

According to the present invention, after each side of the regular polygon is independently translated to set the first polygon, the second polygon is concentric with the first polygon and the internal angle of the corresponding vertex is equal to that of the first polygon. Set the polygon. Then, the outer polygon of the first polygon and the second polygon is set at the position of the compression ring, and the inner polygon of the first polygon and the second polygon is set at the position of the tension ring. Then, a straight line connecting the vertices of the first polygon and the vertices of the second polygon is set at the position of the connecting cable. In this case, the angle formed by the compression ring and the connection cable in a plan view at each connection position is the same at each connection position, and the angle formed by the tension ring and the connection cable in a plan view at each connection position is different. It is the same at the connection position. In this case, if the compression force of the compression ring and the tension of the tension ring are equal on both sides of the connection position, the direction of the resultant force of the compression force of the compression ring at the connection position and the direction of the resultant force of the tension of the tension ring at the connection position are flat. It matches the extension direction of the connection cable in the visual sense. Therefore, if the magnitude of the compressive force of the compression ring is made equal to the magnitude of the tension of the tension ring, the tension of the unique connection cable causes the force to be balanced at each connection position. Therefore, since only the shape of the roof frame can be designed separately from the prestress and the static load, the roof frame can be easily designed.

In the roof frame design method of the present invention, it is preferable to translate the sides of the regular polygon so as to intersect the planned shape of the inner edge or the outer edge of the roof frame.

According to the present invention, the first polygon can be set according to the planned shape of the roof frame by moving each side of the regular polygon in parallel so as to intersect the planned shape of the inner edge or the outer edge of the roof frame. Therefore, the roof frame can be easily designed according to the planned shape.

The roof frame design method of the present invention is a roof frame design method in which a compression ring and a tension ring arranged inside the compression ring are connected by a connection cable, and is a step of setting a regular polygonal triangle. , A step of dividing the regular polygon into a plurality of isosceles triangles by a line connecting the center and the apex of the regular polygon, and a step of sliding the plurality of isosceles triangles along the isosceles triangles while keeping them adjacent to each other. , A step of setting a first polygon by connecting a first straight line parallel to the base of each isosceles triangle with the plurality of isosceles triangles, and a second straight line parallel to the first straight line of each isosceles triangle. To set the second polygon by making the plurality of isosceles triangles continuous, and to set the outer polygon of the first polygon and the second polygon at the position of the compression ring. The first polygon and the inner triangle of the second triangle are set at the position of the tension ring, and the straight line connecting the apex of the first polygon and the apex of the second polygon is the connection cable. It is characterized by having a process of setting the position of.

According to the present invention, after setting a first polygon by sliding a plurality of isosceles triangles obtained by dividing a regular polygon along the isosceles triangles adjacent to each other, a second polygon parallel to the base of each isosceles triangle is set. A straight line is made continuous by a plurality of isosceles triangles, and a second polygon that is concentric with the first polygon and has an internal angle of a corresponding vertex equal to that of the first polygon is set. Then, the outer polygon of the first polygon and the second polygon is set at the position of the compression ring, and the inner polygon of the first polygon and the second polygon is set at the position of the tension ring. Then, a straight line connecting the vertices of the first polygon and the vertices of the second polygon is set at the position of the connecting cable. In this case, the angle formed by the compression ring and the connection cable in a plan view at each connection position is the same at each connection position, and the angle formed by the tension ring and the connection cable in a plan view at each connection position is different. It is the same at the connection position. In this case, if the compression force of the compression ring and the tension of the tension ring are equal on both sides of the connection position, the direction of the resultant force of the compression force of the compression ring at the connection position and the direction of the resultant force of the tension of the tension ring at the connection position are flat. It matches the extension direction of the connection cable in the visual sense. Therefore, if the magnitude of the compressive force of the compression ring is made equal to the magnitude of the tension of the tension ring, the tension of the unique connection cable causes the force to be balanced at each connection position. Therefore, since only the shape of the roof frame can be designed separately from the prestress and the static load, the roof frame can be easily designed.

The method for designing a roof structure of the present invention is to slide the plurality of isosceles triangles along the isosceles triangles so that the first straight line of each isosceles triangle intersects the planned shape of the inner edge or the outer edge of the roof structure. preferable.

According to the present invention, a plurality of isosceles triangles obtained by dividing a regular polygon are slid so that a first straight line parallel to the base of each isosceles triangle intersects the planned shape of the inner or outer edge of the roof structure. Since the first polygon can be matched to the planned shape of the roof frame, the roof frame can be easily designed according to the planned shape.

The roof frame of the present invention includes a compression ring, a tension ring arranged inside the compression ring, and a connection cable connecting the compression ring and the tension ring. The length of the region partitioned by the connection cable is different in each compartment, and the angle formed by the compression ring and the connection cable in a plan view at each connection position is the same at each connection position, and is the same as that of the tension ring. The angle formed by the connection cable at each connection position is the same at each connection position.

According to the present invention, the angle formed by the compression ring and the connection cable in a plan view at each connection position is the same at each connection position, and the angle formed by the tension ring and the connection cable in a plan view at each connection position. Is the same at each connection position. As a result, the direction of the resultant force of the compressive force of the compression ring at the connecting position and the direction of the resultant force of the tension of the tension ring at the connecting position coincide with the extending direction of the connecting cable in the plan view. Therefore, if the magnitude of the compressive force of the compression ring is made equal to the magnitude of the tension of the tension ring, the tension of the unique connection cable causes the force to be balanced at each connection position. Therefore, since only the shape of the roof frame can be designed separately from the prestress and the static load, the roof frame can be easily designed.

A side view of a building according to an embodiment of the present invention. Top view of the roof frame of the building of FIG. A perspective view of the roof frame of the building of FIG. The flowchart which shows the process of the 1st design method of a roof frame. The figure for demonstrating the 1st design method. The figure for demonstrating the 1st design method. The figure for demonstrating the 1st design method. The figure for demonstrating the 1st design method. The figure for demonstrating the 1st design method. The figure for demonstrating the 1st design method. The flowchart which shows the process of the 2nd design method of a roof frame. The figure for demonstrating the 2nd design method. The figure for demonstrating the 2nd design method. The figure for demonstrating the 2nd design method. The figure for demonstrating the 2nd design method. The figure for demonstrating the 2nd design method. The figure for demonstrating the 2nd design method. The figure for demonstrating the 2nd design method. The figure for demonstrating the 2nd design method. The figure for demonstrating the 2nd design method. The figure for demonstrating the 2nd design method. The figure for demonstrating the 2nd design method. The figure for demonstrating the 2nd design method.

Hereinafter, an embodiment of the present invention will be described with reference to the drawings.
In FIG. 1, the stadium 10 as a building includes spectator seats 20, columns 30, and a roof 40.
A plurality of columns 30 are arranged so as to surround the audience seats 20 and support the roof 40.
The roof 40 has a shape in which the central portion is open. The roof 40 includes a roofing material 50 and a roof frame 60.
The roof material 50 is a film material formed of resin, fibers, or the like, and is supported by the roof frame 60.

As shown in FIGS. 2 and 3, the roof frame 60 has a radial cable roof structure utilizing a so-called spoke wheel structure. The roof frame 60 includes a compression ring 61, a pair of tension rings 62, a connecting cable 63, and struts 64.

The compression ring 61 is configured by connecting a plurality of steel pipes in an annular shape. In the present embodiment, the compression ring 61 has a plurality of linear steel pipes connected to each other and has a polygonal shape in a plan view.

The tension ring 62 is composed of a cable and is arranged vertically side by side inside the compression ring 61.

The connection cable 63 is radially arranged between the compression ring 61 and the tension ring 62, and connects the compression ring 61 and the tension ring 62. One end of the connection cable 63 is connected to the compression ring 61 at the connection position P1, and the other end of the connection cable 63 is connected to the tension ring 62 at the connection positions P21 and P22.

The strut 64 is made of a steel pipe, and upper and lower tension rings 62 are connected at both ends thereof. One end of the strut 64 is connected to the upper tension ring 62 at the upper connection position P21, and the other end of the strut 64 is connected to the lower tension ring 62 at the lower connection position P22. That is, the compression ring 61 and the connection cable 63 are connected to the connection position P1, and the tension ring 62, the connection cable 63, and the strut 64 are connected to the connection positions P21 and P22.

In the roof frame 60 described above, by applying prestress to the tension ring 62 or the connection cable 63, the compression force F1 is applied to the compression ring 61, the tensions F21 and F22 are applied to the upper and lower tension rings 62, and the tensions F21 and F22 are applied to the upper and lower connection cables 63. The tensions T31 and T32 act respectively. The compressive force F1 and the tensions F21 and F22 are equal on both sides of the connection positions P21 and P22, respectively.

Here, as shown in FIG. 2, the angle θ1 formed by the compression ring 61 and the connection cable 63 in a plan view at the connection position P1 is the same at each connection position P1. Further, the angle θ2 formed by the upper and lower tension rings 62 and the connection cable 63 at the connection positions P21 and P22 in a plan view is the same at the connection positions P21 and P22. As a result, as shown in FIG. 3, the direction of the resultant force T1 of the compressive force F1 of the compression ring 61 at the connection position P1 coincides with the extending direction of the connection cable 63 in a plan view. Further, the direction of the resultant force T21 of the tension F21 of the upper tension ring 62 at the connection position P21 and the direction of the resultant force T22 of the tension F22 of the lower tension ring 62 at the connection position P22 are also the extending directions of the connection cable 63 in a plan view. Matches. Therefore, if the magnitude of the compressive force F1 of the compression ring 61 is equal to the magnitude of the sum of the tensions F21 and F22 of the upper and lower tension rings 62, the unique connection cable 63 tensions T31 and T32 make each connection position P1. , P21 and P22, the forces are balanced, and the forces of the roof frame 60 are balanced.

In this case, the resultant force T1 of the compressive force F1 of the compression ring 61 at the connection position P1 is equal to the sum of the horizontal component of the tension T31 of the upper connection cable 63 and the horizontal component of the tension T32 of the lower connection cable 63. Further, the horizontal component of the tension T31 of the upper connection cable 63 is equal to the resultant force T21 of the tension F21 of the upper tension ring 62 at the connection position P21, and the horizontal component of the tension T32 of the lower connection cable 63 is at the connection position P22. It is equal to the resultant force T22 of the tension F22 of the lower tension ring 62. Therefore, the resultant force T1 of the compressive force F1 of the compression ring 61 is balanced with the sum of the resultant force T21 of the tension F21 of the upper tension ring 62 and the resultant force T22 of the tension F22 of the lower tension ring 62.

Hereinafter, the design method of the roof frame 60 will be described.
First, the first design method will be described with reference to FIGS. 4 to 10. The first design method can be applied to the case where the planned shape of the roof frame 60 is determined and the case where the planned shape is not determined and an arbitrary shape is freely designed. However, here, the roof frame 60 is applied. A case where the planned shape M (see FIG. 5) of the outer edge of the roof is determined will be described.

As the first step of the design procedure of the roof frame 60 shown in FIG. 4, a regular polygon G is set as shown in FIG. 5 (step ST11). At this time, it is preferable to set the regular polygon G so as to be close to the planned shape M of the roof frame 60. Further, in FIG. 5, the regular polygon G is set inside the planned shape M, but the regular polygon G may be set so as to surround the planned shape M on the outside.

Next, as shown in FIG. 6, each side G1 of the regular polygon G is independently translated so as to intersect the planned shape M of the roof frame 60 (step ST12). At this time, each side G1 is circumscribed to the planned shape M as much as possible. Then, when each side G1 does not intersect, each side G1 is extended until it intersects with each other, and when each side G1 intersects, a portion outside the intersection is deleted. As shown in, the first polygon C1 that approximates the planned shape M is set (step ST13).

Then, inside the first polygon C1, a second polygon C2 concentric with the first polygon C1 and having an internal angle of a corresponding vertex equal to that of the first polygon C1 is set (step ST14). At this time, for example, as shown in FIG. 8, after moving each side C11 in parallel by the same distance inward while keeping the shape of the first polygon C1, as shown in FIG. 9, in each side C11. The second polygon C2 is set by deleting the part outside the intersection. Further, the second polygon C2 shown in FIG. 9 may be directly set from the state shown in FIG. 7 without going through the step shown in FIG.

After that, as shown in FIG. 10, the vertices of the first polygon C1 and the vertices of the second polygon C2 are connected by a straight line L (step ST15). The shape shown in FIG. 10 obtained as a result is adopted as the planar shape of the roof frame 60, and the positions of the compression ring 61, the tension ring 62, and the connection cable 63 are set according to the shape (step ST16). That is, the straight line L connecting the first polygon C1, the second polygon C2, and the first polygon C1 and the second polygon C2 is set at the positions of the compression ring 61, the tension ring 62, and the connection cable 63. .. Further, the connection positions P21 and P22 between the tension ring 62 and the connection cable 63 are set at the positions of the struts 64.

Here, in the shape shown in FIG. 10, the first polygon C1 and the second polygon C2 form a non-regular polygon, and the compression ring 61 and the tension ring 62 are formed in a region partitioned by the connection cable 63. The length is different in each section.

According to the first design method as described above, the roof frame 60 can be easily designed according to an arbitrary planned shape M.
Further, the first design method can be applied even when the planned shape M of the roof frame 60 has not been determined, and if each side G1 of the regular polygon G is arbitrarily translated in step ST13, any shape can be obtained. The roof frame 60 can be easily designed.

Next, a second design method of the roof frame 60 will be described with reference to FIGS. 11 to 23.
First, a case where the second design method is applied when the planned shape M of the roof frame 60 is not determined based on FIGS. 11 to 18 will be described.

As the first step of the design procedure of the roof frame 60 shown in FIG. 11, an arbitrary regular polygon G is set as shown in FIG. 12 (step ST21). Then, as shown in FIG. 13, the regular polygon G is divided into a plurality of equal isosceles triangles S by a line connecting the center and the apex of the regular polygon G (step ST22). For the reason described later, it is preferable to set a regular polygon G having an even number of vertices in step ST21 and step ST22, and divide the regular polygon G into an even number of isosceles triangles S.

Next, as shown in FIG. 14, a plurality of isosceles triangles S are slid along the isosceles S1 while being adjacent to each other (step ST23). Here, when divided into an even number of isosceles triangles S, the boundary between half of the isosceles triangles S and the other half of the isosceles triangles S becomes a straight line D, that is, of the original regular polygon G. It is preferable to slide each isosceles triangle S while maintaining the straight line D passing through the center. Next, as shown in FIG. 15, from one point on the isosceles triangle S1 of any isosceles triangle S, a first straight line S3 parallel to the base S2 of each isosceles triangle S is made continuous by a plurality of isosceles triangles S. The first polygon C1 is set (step ST24).

As shown in FIG. 15, when the start point and the end point of the first polygon C1 do not match (step ST25), the position of each isosceles triangle S is adjusted, and the start point and the end point match as shown in FIG. (Step ST26). In step ST22, it is divided into an even number of isosceles triangles S, and in step ST23, each isosceles triangle S is divided so that the boundary between half of the isosceles triangles S and the other half of the isosceles triangles S becomes a straight line D. Sliding makes it easier to match the start and end points of the first polygon C1. Then, as shown in FIG. 17, a second straight line S4 parallel to the first straight line S3 of each isosceles triangle S is continuously formed by a plurality of isosceles triangles S4 at positions equally spaced inside the first polygon C1. Then, the second polygon C2 concentric with the first polygon C1 is set (step ST27).

After that, as shown in FIG. 18, the portion outside the first polygon C1 and the portion inside the second polygon C2 in each isosceles triangle S are deleted (step ST28). The shape shown in FIG. 18 obtained as a result is adopted as the planar shape of the roof frame 60, and the first polygon C1, the second polygon C2, and the straight line L connecting the first polygon C1 and the second polygon C2 are adopted. Is set at the positions of the compression ring 61, the tension ring 62, and the connection cable 63 (step ST29). Further, the connection positions P21 and P22 between the tension ring 62 and the connection cable 63 are set at the positions of the struts 64.

In the shape shown in FIG. 18, the first polygon C1 and the second polygon C2 form a non-regular polygon, and the compression ring 61 and the tension ring 62 have the length of the region partitioned by the connection cable 63. Is different in each section. In addition, it is non-axisymmetric with respect to the straight line D described above.

According to the above method, the roof frame 60 having an arbitrary shape can be freely designed.

Subsequently, a case where the second design method is applied when the planned shape M of the roof frame 60 is determined based on FIGS. 11 and 19 to 23 will be described.

First, step ST21 and step ST22 of FIG. 11 are carried out. At this time, as shown in FIG. 19, a regular polygon G is set so as to surround the planned shape M of the roof frame 60 on the outside (step ST21), and as shown in FIG. 20, a plurality of regular polygons G are set. It is divided into isosceles triangles S (step ST22). The regular polygon G is preferably set so as to be as close as possible to the planned shape M of the roof frame 60.

Next, steps ST23 to ST26 of FIG. 11 are carried out. At this time, as shown in FIG. 21, each isosceles triangle S is slid so that the first straight line S3 parallel to the base S2 of each isosceles triangle S intersects the planned shape M, and the positions of the isosceles triangles S are adjusted. In this position adjustment, as shown in FIG. 21, the first straight line S3 of each isosceles triangle S is circumscribed to the planned shape M as much as possible.

Next, steps ST27 to ST29 in FIG. 11 are carried out. That is, as shown in FIG. 22, after setting the second polygon C2 concentric with the first polygon C1 and having the same internal angle of the corresponding vertex as the first polygon C1 inside the first polygon C1 (step). ST27), as shown in FIG. 23, the portion of each isosceles triangle S outside the first polygon C1 and the portion inside the second polygon C2 are deleted (step ST28). The shape shown in FIG. 23 obtained as a result is adopted as the planar shape of the roof frame 60, and the first polygon C1, the second polygon C2, and the straight line L connecting the first polygon C1 and the second polygon C2 are adopted. Is set at the positions of the compression ring 61, the tension ring 62, and the connection cable 63 (step ST29). Further, the connection positions P21 and P22 between the tension ring 62 and the connection cable 63 are set at the positions of the struts 64.

In the shape shown in FIG. 23, the first polygon C1 and the second polygon C2 form a non-regular polygon, and the compression ring 61 and the tension ring 62 have the length of the region partitioned by the connection cable 63. It is different in each section. Further, it is line-symmetrical with respect to the above-mentioned straight line D.

According to the above method, the roof frame 60 can be easily designed according to the planned shape M.

According to the above embodiment, each side G1 of the regular polygon G is independently moved in parallel, or a plurality of isosceles triangles S obtained by dividing the regular polygon G are adjacent to each other and along the equal side S1. After setting the first polygon C1 by sliding it, the second polygon C2 which is concentric with the first polygon C1 and whose internal angle of the corresponding vertex is equal to the first polygon C1 is set. Then, the outer polygon of the first polygon C1 and the second polygon C2 is set at the position of the compression ring 61, and the inner polygon of the first polygon C1 and the second polygon C2 is tensioned. The position of the ring 62 is set, and the straight line L connecting the apex of the first polygon C1 and the apex of the second polygon C2 is set at the position of the connection cable 63. In this case, the angle θ1 formed by the compression ring 61 and the connection cable 63 in a plan view at the connection position P1 is the same at each connection position P1, and the tension ring 62 and the connection cable 63 are connected to each other at the connection position P21. The angle θ2 formed in the plan view on P22 is the same at the connection positions P21 and P22. In this case, if the compressive force F1 of the compression ring 61 and the tensions F21 and F22 of the tension ring 62 are equal on both sides of the connection positions P21 and P22, the direction of the resultant force T1 of the compressive force F1 of the compression ring 61 at the connection position P1 and the connection. The directions of the compressive forces T21 and T22 of the tensions F21 and F22 of the tension ring 62 at the positions P21 and P22 coincide with the extending direction of the connection cable 63 in a plan view. Therefore, if the magnitude of the compressive force F1 of the compression ring 61 and the magnitude of the sum of the tensions F21 and F22 of the upper and lower tension rings 62 are equalized, the tensions T31 and T32 of the unique connection cable 63 make each connection position P1. , P21, P22, the balance of force occurs. Therefore, since only the shape of the roof frame 60 can be designed separately from the prestress and the static load, the roof frame 60 can be easily designed.

Further, each side G1 of the regular polygon G is independently moved in parallel so as to intersect the planned shape M of the roof frame 60, or a plurality of isosceles triangles S obtained by dividing the regular polygon G are moved into each isosceles triangle S. By sliding the first straight line S3 parallel to the base S2 of the roof frame 60 so as to intersect the planned shape M of the roof frame 60, the first polygon C1 can be matched with the planned shape M of the roof frame 60. The frame 60 can be easily designed according to the planned shape M.

Further, after setting the first polygon C1 by moving each side G1 of the regular polygon G in parallel or sliding a plurality of isosceles triangles S obtained by dividing the regular polygon G along the equilateral side S1. , The positions of the compression ring 61, the tension ring 62, the connection cable 63, and the strut 64 simply by setting the second polygon C2, which is concentric with the first polygon C1 and whose internal angle of the corresponding apex is equal to that of the first polygon C1. Can be set. Therefore, even when the planned shape M of the roof frame 60 is non-linear, the roof frame 60 can be easily designed.

The present invention is not limited to the above-described embodiment, and modifications, improvements, and the like within the range in which the object of the present invention can be achieved are included in the present invention.
For example, the building is not limited to the stadium 10, and may be an arena, a gymnasium, a stadium, a hall, or the like.
The shape, seat arrangement, capacity, etc. of the spectator seats 20 are not particularly limited.
The shape of the support column 30 is not limited, and may be, for example, a wall shape.
The material and shape of the roofing material 50 are not limited, and may be made of, for example, lightweight metal.

The roof frame 60 may include three or more tension rings 62. Further, the roof frame 60 may include a plurality of compression rings 61 arranged one above the other and one tension ring 62.
The compression ring 61 is not limited to that made of a steel pipe, and may be made of a steel material other than the steel pipe or reinforced concrete, for example. Further, the compression ring 61 is not limited to a configuration in which a plurality of members are connected in an annular shape, and may be configured by one annular member.
The strut 64 is not limited to that made of a steel pipe, and may be made of, for example, a steel material other than the steel pipe, a resin material, or a fiber material.

When setting the first polygon C1, each side G1 of the regular polygon G may be moved in parallel so as to intersect the planned shape of the inner edge of the roof frame 60, or the first straight line S3 of each isosceles triangle S may be moved. Each isosceles triangle S may be slid so as to intersect the planned shape of the inner edge of the roof frame 60. In this case, the second polygon C2 is set outside the first polygon C1, the second polygon C2 is set at the position of the compression ring 61, and the first polygon C1 is set at the position of the tension ring 62. ..
The compression ring 61 and the tension ring 62 may have the same length of the region partitioned by the connection cable 63 in each compartment.
The number of vertices of the regular polygon G is not particularly limited, but the larger the number, the closer to the planned shape of the inner edge or the outer edge of the roof frame 60.

60 ... roof frame, 61 ... compression ring, 62 ... tension ring, 63 ... connection cable, C1 ... first polygon, C2 ... second polygon, G ... regular polygon, G1 ... side, L ... straight line, M ... Planned shape, S ... isosceles triangle, S1 ... equilateral, S2 ... base, S3 ... first straight line, S4 ... second straight line, P1, P21, P22 ... connection position, θ1, θ2 ... angle.

Claims (5)

It is a method of designing a roof frame in which a compression ring and a tension ring arranged inside the compression ring are connected by a connection cable.
The process of setting a regular polygon and
The process of dividing the regular polygon into its respective sides, and
The process of independently moving each divided side in parallel,
The process of setting the first polygon whose apex is the point where each side moved in parallel or its extension line intersects with each other.
A step of setting a second polygon concentric with the first polygon and having an internal angle of a corresponding vertex equal to that of the first polygon.
The outer polygon of the first polygon and the second polygon is set at the position of the compression ring, and the inner polygon of the first polygon and the second polygon is the tension ring. A method for designing a roof frame, which comprises a step of setting the position of the first polygon and setting a straight line connecting the apex of the first polygon and the apex of the second polygon at the position of the connection cable. .. The method for designing a roof frame according to claim 1, wherein each side of the regular polygon is translated so as to intersect the planned shape of the inner edge or the outer edge of the roof frame. It is a method of designing a roof frame in which a compression ring and a tension ring arranged inside the compression ring are connected by a connection cable.
The process of setting a regular polygon and
The process of dividing the regular polygon into a plurality of isosceles triangles by a line connecting the center and the apex of the regular polygon, and
The process of sliding the plurality of isosceles triangles adjacent to each other along the isosceles triangles,
A step of setting a first polygon by connecting a first straight line parallel to the base of each isosceles triangle with the plurality of isosceles triangles.
A step of setting a second polygon by connecting a second straight line parallel to the first straight line of each isosceles triangle with the plurality of isosceles triangles.
The outer polygon of the first polygon and the second polygon is set at the position of the compression ring, and the inner polygon of the first polygon and the second polygon is the tension ring. A method for designing a roof frame, which comprises a step of setting the position of the first polygon and setting a straight line connecting the apex of the first polygon and the apex of the second polygon at the position of the connection cable. .. The roof according to claim 3, wherein the plurality of isosceles triangles are slid along the equilateral sides so that the first straight line of each isosceles triangle intersects the planned shape of the inner edge or the outer edge of the roof frame. How to design the frame. With a compression ring
A tension ring placed inside the compression ring and
A connection cable for connecting the compression ring and the tension ring is provided.
The compression ring and the tension ring have different lengths of regions partitioned by the connecting cable.
The angle formed by the compression ring and the connection cable in a plan view at each connection position is the same at each connection position.
A roof frame characterized in that the angle formed by the tension ring and the connection cable at each connection position is the same at each connection position.

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