JP5590373B2 - Dome structure - Google Patents

Description

  The present invention relates to a dome structure adopted for a roof frame of a structure such as a multipurpose dome or an arena.

  Conventionally, as a roof structure for structures such as multi-purpose domes and arenas, it is composed of beams that receive compressive force, bundles, and strings that receive tension, using form resistance such as suspension cables and 2-hinge arches. The string string structure is known. In such a stringed beam structure, it is mechanically advantageous that a string tension member (string) is arranged below the horizontal and arcuate beams.

  By the way, the dome shape generally refers to a part of a sphere, but indicates a pointed rotator formed by rotating a parabola around an axis or rotating an arc or a parabola by shifting the axis. Sometimes. Conventionally, a dome is made of a continuous concrete shell. However, due to productivity issues such as formwork, in recent years, a spherical surface is often divided into a structure by a steel frame or laminated material. The characteristic of shell-shaped structures typified by the dome structure is that the outer peripheral support conditions are pin-supported, and a rigid tension ring is placed on the outer periphery to create a membrane stress state with less bending moment. It is known as a rational structure system that can reduce the plate thickness or reduce the steel frame formation (see, for example, Patent Document 1).

Japanese Patent No. 3513334

However, the conventional dome structure has the following problems.
That is, due to the above-described features, the bending rigidity in the plate thickness direction is small, and there is a possibility of occurrence of buckling of the whole, parts, and individual materials. In addition, the flat dome structure with a small rise relative to the span has problems that the axial force of the tension ring becomes excessive, the membrane stress state collapses, the bending moment increases, and the rationality cannot be maintained. It was.

  The present invention has been made in view of the above-described problems, and an object of the present invention is to provide a dome structure that can realize a rational structure system capable of controlling displacement and stress acting on the dome structure. And

In order to achieve the above object, the dome structure according to the present invention is a dome structure in which a roof frame provided on a pillar of a structure is configured and beams are arranged radially in plan view, and the center of the structure Are arranged in the same direction as the beam with the length direction at the position below the beam, and one end of the beam and the column. A first string that is connected to one intersection point, and has the other end located between the center of the structure and the first intersection point in plan view, and a second string that connects the other ends of the plurality of first strings; Bundle material connecting the second intersection of the second string and the other end of the first string and the arbitrary position between the center of the beam material structure and the beam end, and between the beam material center and the beam end of a inner peripheral ring beam for connecting the intermediate portions, in the the first string and the second string, The optimum tension calculated based on the tension calculation method is introduced so as to minimize the bending moment of the material, and the tension calculation method uses the simultaneous equation (1) to (3) to calculate the coefficient α in the equation. by setting a first tension alpha · PS1 of the first string, and wherein the calculation method der Rukoto for obtaining a second tension alpha · PS2 of the second string.

Further, the dome structure according to the present invention is a dome structure in which a roof frame provided on a pillar of a structure is configured, and beam members are arranged radially in a plan view, in a radial direction passing through the center of the structure. A plurality of extending beam members are arranged in the same direction as the beam members in the radial direction at the positions below these beam members, and one end is connected to the first intersection of the beam member and the column member A first string whose other end is located between the center of the structure and the first intersection in plan view, a second string connecting the other ends of the plurality of first strings, and a beam structure A bundle material connecting the second intersection of the second string and the other end of the first string and an arbitrary position between the center of the beam and the beam end, and an intermediate portion between the center of the beam material and the beam end An inner ring beam connected to each other, and the first string and the second string include a bending moment of the beam material. The optimum tension calculated based on the tension calculation method is introduced so as to minimize the tension, and the tension calculation method sets the coefficient α in the equation from the simultaneous equations of equations (4) to (8). Thus, the calculation method is to obtain the first tension α · PS1 of the first string and the second tension α · PS2 of the second string.

Further, the dome structure according to the present invention is a dome structure in which a roof frame provided on a pillar of a structure is configured, and beam members are arranged radially in a plan view, in a radial direction passing through the center of the structure. A plurality of extending beam members are arranged in the same direction as the beam members in the radial direction at the positions below these beam members, and one end is connected to the first intersection of the beam member and the column member A first string whose other end is located between the center of the structure and the first intersection in plan view, a second string connecting the other ends of the plurality of first strings, and a beam structure A bundle material connecting the second intersection of the second string and the other end of the first string and an arbitrary position between the center of the beam and the beam end, and an intermediate portion between the center of the beam material and the beam end An inner ring beam to be connected and a second bundle member are provided below a predetermined position between the inner ring beam and the inner ring beam. And a third string which connects over both ends between the second flux material lower end, a first string, the second string and third string, based on the tension calculation method so as to minimize the bending moment of the beam member The optimum tension calculated in the above is introduced, and the tension calculation method is to set the coefficients α and β in the equations from the simultaneous equations of Equations (9) to (14), and thereby the first tension α of the first string. - and PS1, and the second tension alpha-PS2 of the second string, and a third characteristic estimation methods der Rukoto seeking and tension beta-PS3 of the third string.

Further, in the dome structure according to the present invention, the tension calculation method is a dome structure in which a roof frame provided on a pillar of the structure is configured and beams are arranged radially in plan view, and the center of the structure Are arranged in the same direction as the beam with the length direction at the position below the beam, and one end of the beam and the column. A first string that is connected to one intersection point, and has the other end located between the center of the structure and the first intersection point in plan view, and a second string that connects the other ends of the plurality of first strings; Bundle material connecting the second intersection of the second string and the other end of the first string and the arbitrary position between the center of the beam material structure and the beam end, and between the beam material center and the beam end An inner ring beam that connects the middle parts of the inner ring beam, and a second bundle member is provided below a predetermined middle position of the inner ring beam. A third string connected between both ends of the inner ring beam and the lower end of the second bundle member, and the first string, the second string, and the third string minimize the bending moment of the beam member. Thus, the optimum tension calculated based on the tension calculation method is introduced, and the tension calculation method is based on the simultaneous equations of Equations (15) to (22) by setting the coefficients α and β in the equation. This is a calculation method for obtaining the first tension PS1 of one string, the second tension PS2 of the second string, and the third tension β · PS3 of the third string.

In the present invention, since the first string and the second string each function as a tensile material, by applying appropriate tension to the first string and the second string, an upward reaction force is applied through the bundle material. Therefore, the structure as a whole is a self-balancing frame, and a horizontal reaction force is not generated in the lower structure that supports the roof frame. That is, the second string is arranged at an obtuse angle with respect to the extending direction of the first string on both sides of the other end (inner peripheral side end) of the first string. By introducing a tension to each first string to be applied, the tension acting on the first string is distributed to the second string. At this time, an upward bending moment acts on the string structure constituted by the first string and the second string, similarly to the bending moment of the conventional string structure extending in the diameter direction through the center. That is, an upward force can be applied to the beam member via the bundle member by the tension force acting on the entire string structure.
Conversely, if the tension acting on the second string is known, the tension of the first string is also determined.

In addition, since the tension introduced into the string is the optimum tension calculated based on the tension calculation method, the bending moment, axial force and vertical displacement of the roof member can be reduced, and the stress acting on the dome structure And displacement can be controlled. Therefore, it is possible to balance the downward bending moment due to the weight of the beam member located above the string structure and the upward bending moment acting on the entire string structure.
Furthermore, when the roof construction surface is completed, that is, how to build the steel frame, and after the final tightening of the joints of all the members, the tension is introduced to the strings, so that the construction efficiency is improved and a specific part way through the construction. Since it is not necessary to perform temporary fastening and final fastening of the members, there is an effect that management becomes easy.

  According to the dome structure of the present invention, by introducing the optimum tension calculated based on the tension calculation method to the string, the bending moment, the axial force and the vertical displacement of the roof member can be reduced, so that it acts on the dome structure. It is possible to realize a rational structural system capable of controlling displacement and stress. Further, there is an advantage that the buckling strength of the dome structure can be improved.

It is a side view which shows the structure provided with the dome structure by the 1st Embodiment of this invention. It is a perspective view of the dome structure shown in FIG. (A), (b) is a figure explaining the tension | tensile_strength calculation method of the optimal tension | tensile_strength introduced into a string. It is a perspective view which shows the structure of the dome structure by a modification, Comprising: The figure corresponding to FIG. It is a figure explaining the tension | tensile_strength calculation method of the optimal tension | tensile_strength introduce | transduced into the string by 2nd Embodiment. (A)-(d) is a figure which shows the stress and displacement of the dome structure by an Example. (A)-(d) is a figure which shows the stress and displacement of the dome structure by a comparative example. (A), (b) is a figure explaining the tension | tensile_strength calculation method of the optimal tension | tensile_strength introduced into the string by 3rd Embodiment. It is a figure explaining the tension | tensile_strength calculation method of the optimal tension | tensile_strength similarly introduced into the string by 3rd Embodiment. (A), (b) is a figure explaining the tension | tensile_strength calculation method of the optimal tension | tensile_strength introduced into the string by 4th Embodiment. (A), (b) is a figure explaining the tension | tensile_strength calculation method of the optimal tension | tensile_strength introduced into the string by 4th Embodiment similarly.

Hereinafter, a dome structure according to a first embodiment of the present invention will be described with reference to FIGS.
Reference numeral 1 in FIG. 1 denotes a structure according to the first embodiment including a dome structure 10 that is employed in a multi-purpose dome, an arena, and the like and has a three-dimensional stringed beam structure in which beam members 11 are arranged in a radial form in a plan view. Show.
Here, a vertical axis passing through the center of the structure 1 in plan view will be described below as a central axis O.

  As shown in FIGS. 1 and 2, the dome structure 10 has a rectangular shape in plan view, and is pinned to the upper end 2 a of the column 2 erected on the outer shell portion in plan view of the structure 1 on the foundation 3. It is fixed by joining or rigid joining and supported from below, and an upward reaction force is applied to the beam member 11 by introducing tension to the tension member (first string 12 and second string 13 described later). Thus, an arch-like structure constituting a roof frame having a high cross-sectional rigidity is formed.

  Specifically, the dome structure 10 passes through the central axis O of the structure 1 and extends in a radial direction around the central axis O, and a plurality of beam members 11, 11,. The longitudinal direction is arranged in the same direction as that of the beam member 11 with the length direction in the radial direction with respect to the central axis O, and one end (outer peripheral side end portion 12a) is the first intersection P1 between the beam member 11 and the column member 2. And the other end (inner peripheral side end portion 12b) is located between the central axis O of the structure 1 and the first intersection P1 in plan view, and a plurality of first strings 12 Between the central string O of the structure 1 and the beam end 11a in the beam material 11 (reference numeral 11A shown in FIG. 2) arranged in the diagonal direction. Arbitrary position (3rd intersection P3) and the inner peripheral side edge part 12b of the 1st string 12 And a Tabazai 14 for connecting the second intersection point P2 between the second string 13, has a structure in which a first string 12 and a second string 13 is tensioned.

  The beam member 11 fixes the beam ends 11 a and 11 a to the upper end 2 a of the column member 2 shown in FIG. 1 with the convex curved portion facing upward, and the center portions of the respective beam members 11 are centered on the structure 1. It intersects at the position of the axis O.

  The first string 12 has a length dimension in which the inner peripheral end 12b is disposed at an arbitrary position between the central axis O of the structure 1 and the first intersection P1, and the outer peripheral end 12a is a beam member. 11 is fixed to the beam end 11a on the outer peripheral side, and the inner peripheral end portion 12b forms a second intersection point P2 connected to the second string 13 and the lower end of the bundle member 14.

  The second string 13 has a ring shape (in this case, a rectangular shape that is substantially similar to the rectangular shape that forms the outer shell of the dome structure 10) of the plurality of first strings 12, 12,. ) And extends in the circumferential direction around the central axis O of the structure 1.

  The bundle member 14 has an inner peripheral side end 12b of the first string 12 and the third intersection point P3 of the beam member 11 (here, between the center axis O of the structure 1 of the beam member 11 and the beam end 11a). And a compression material acting in the vertical direction.

  Further, as shown in FIG. 2, the dome structure 10 is provided with an outer peripheral ring beam 15 along a rectangular outer shell in plan view, and substantially in the middle from the central axis O of the beam member 11 to the beam end 11a. Inner ring beams 16 that connect the portions 11c and 11c are provided, and further, a horizontal brace 17 is disposed in a roof surface constituted by the beam members 11 and the inner ring beam 16. The outer peripheral ring beam 15 is connected to both ends of the beam members 11 and 11 whose apexes are arranged on a diagonal line.

Next, the operation of the dome structure 10 configured as described above will be described.
In the dome structure 10, the second string 13 is arranged so that both sides of the inner end 12 b (second intersection point P 2) of the first string 12 intersect each other at an obtuse angle with respect to the extending direction of the first string 12. Therefore, by introducing a tension to each first string 12 arranged in the radial direction, the tension acting on the first string 12 is distributed to the second string 13 and the resultant force is generated. At this time, an upward bending moment acts on the string structure constituted by the first string 12 and the second string 13 in the same way as the bending moment of the conventional string structure extending in the diameter direction through the central axis O. That is, an upward force can be applied to the beam member 11 through the bundle member 14 by a tension force acting on the entire string structure.

Therefore, the downward bending moment due to the weight of the beam member 11 positioned on the upper portion of the string structure and the upward bending moment acting on the entire string structure are balanced, and the second string 13 is moved in the circumferential direction. Even if it arrange | positions, it can control the stress and displacement of the beam 11 similarly to the conventional string structure.
In addition, since the inner ring beam 16 and the horizontal brace 17 are arranged on the roof surface and function as a main frame, the tension and the first string 12 and the second string 13 can be used to control the stress and displacement of the entire roof surface. It can be carried out.

  That is, in the dome structure 10, the first string 12 and the second string 13 each function as a tensile material. Therefore, by applying an appropriate tension to the first string 12 and the second string 13, the bundle material 14 Thus, an upward reaction force can be applied to the structure, and the entire structure becomes a self-balancing frame, so that no horizontal reaction force is generated in the lower structure that supports the roof frame.

  Moreover, in this dome structure 10, since the tension is introduced into the strings 12 and 13 when the roof construction surface is completed, that is, after the steel frame is constructed and after the final fastening of all the joint portions is completed, the construction efficiency is improved. In addition to the improvement, it is not necessary to perform temporary tightening and final tightening of a specific member during the construction, and therefore, it is possible to easily manage.

Next, a method for calculating the optimum tension applied to the dome structure 10 described above will be described in detail.
The calculation method of the tension introduced into the first string 12 and the second string 13 shown in FIG. 2 is calculated by a tension calculation method. That is, this is a method for obtaining the optimum tension for the dominant weight (the fixed load DL of the dome structure 10 to be described later), which is the dominant load. In the case where the end joint condition with the outer ring beam 15 shown in FIG. The introduction tension is set so that the bending moment of the beam 11 is minimized.

  Here, in FIG. 3, the bending moment on the center side (center axis O side) of the structure 1 of the beam member 11 is denoted by M1, and the upper part of the bundle member 14 of the beam member 11 (corresponding to the third intersection point P3 shown in FIG. 2). A bending moment at the outer peripheral end 11a of the beam member 11 is denoted by a symbol M3. The fixed load of the dome structure 10 is DL, the assumed value of the tension introduced into the first string 12 (first tension) is PS1, and the tension of the second string 13 generated by the assumed value PS1 of the first tension (first 2 tension) is PS2.

3A and 3B show a part of the dome structure 10, wherein FIG. 3A shows a first model A showing a bending moment due to the fixed load DL of the dome structure 10, and FIG. 3B shows a first tension on the first string 12. The second model B showing the bending moment when the assumed value PS1 is introduced.
And the relationship of each bending moment M1 and M2 mentioned above is represented by (1) Formula-(3) Formula.

  Specifically, in the tension calculation method, the bending moments (M1, M2) of the beam 11 satisfy the expressions (1) and (2) in the models A and B shown in FIGS. 3 (a) and 3 (b). Thus, α · PS1 and α · PS2 are set. That is, by solving the simultaneous equations (1) to (3) and calculating the coefficient α in the equation, the optimal first string α · PS1 of the first string and the string α · PS2 of the second string are obtained. Thus, the bending moment acting on the dome structure 10 can be reduced.

  By calculating the optimum tension in this way, the bending stress degree of the beam material 11 can be minimized, the maximum value of the bending moment can be equalized, and the same member can be rationally used.

  As described above, in the dome structure according to the first embodiment, the optimum tension calculated based on the tension calculation method is introduced into the first string 12 and the second string 13, so that the bending moment and axial force of the roof member are increased. Since the vertical displacement can be reduced, a rational structural system capable of controlling the displacement / stress acting on the dome structure 10 can be realized. Moreover, there is an advantage that the buckling strength of the dome structure 10 can be improved.

  Next, other embodiments and modifications of the present invention will be described with reference to the drawings, but the same or similar members and parts as those of the first embodiment described above are denoted by the same reference numerals, and description thereof is omitted. Different configurations will be described.

  As shown in FIG. 4, the dome structure 20 according to the modification has a circular shape in plan view, and a plurality of beam members 21, 21,... Extending in a radial direction passing through the central axis O of the structure. The beam member 21 is arranged in the same direction as the beam member 21 with the length direction in the radial direction at a position below each beam member 21, and one end (outer peripheral side end 22 a) is the first intersection of the beam member 21 and the column member 22. A first string 22 coupled to P1 and having the other end (inner peripheral side end 22b) positioned between the central axis O of the structure 1 and the first intersection P1 in plan view, and a plurality of first strings 22, the second string 23 that connects the inner peripheral side end portions 22 b, the arbitrary position (third intersection point P 3) between the central axis O of the structure of the beam member 21 and the beam end 21 a, and the first string 22. Bundle material 24 that connects the second intersection point P2 between the inner circumferential side end 22b of the second string 23 and the second string 23. It includes a first string 22 and a second string 23 is in the configurations tension.

  Further, the dome structure 20 includes an outer ring beam 25 that connects the first intersection points P1, an inner ring beam 26 that connects the third intersection points P3, and a space between the outer ring beam 25 and the inner ring beam 26. An intermediate ring beam 27 disposed at a position, and an outer peripheral ring beam 25, an inner peripheral ring beam 26, and a horizontal brace 28 provided in a plane surrounded by the intermediate ring beam 27 are provided.

  Also in the dome structure 20 according to this modification, the optimum tension calculated based on the tension calculation method can be introduced to the first string 22 and the second string 23 as in the first embodiment described above, so that the roof A rational structural system capable of reducing the bending moment, axial force and vertical displacement of the member and controlling the displacement / stress acting on the dome structure 20 can be realized.

Next, an optimum tension calculation method according to the second embodiment will be described.
As shown in FIG. 5A, in the dome structure according to the second embodiment, the bundle material is provided below the inner ring beam 16 at a predetermined intermediate position in addition to the dome structure 10 of the first embodiment described above. 18 (corresponding to the second bundle member) is provided, and the third string 19 is connected between both ends of the inner ring beam 16 and the lower end of the bundle member 18.
In this case, the calculation method of the tension introduced into the first string 12 and the second string 13 is calculated by a tension calculation method. This tension calculation method is also a method for obtaining the optimum tension with respect to the dominant weight (fixed load DL) as a dominant load. When the end joint condition with the outer ring beam 15 is pin joint, the beam material 11 Set the introduction tension so that the bending moment is minimized.

  Here, in FIGS. 5A to 5C, the bending moment on the center side (center axis O side) of the structure 1 of the beam member 11 is denoted by M1, and the upper portion of the bundle member 14 of the beam member 11 (shown in FIG. 2). The bending moment at the third intersection point P3) is denoted by M2, the bending moment at the center portion (intermediate position in the length direction) of the inner ring beam 16 is denoted by M1 ', and the intermediate portion between the support points of the inner ring beam 16 The maximum bending moment is denoted by M2 ′, and the bending moment at the outer end 11a of the beam member 11 is denoted by M3. The fixed load of the dome structure 10 is DL, the assumed value of the tension introduced into the first string 12 (first tension) is PS1, and the tension of the second string 13 generated by the assumed value PS1 of the first tension (first 2 tension) is PS2. An assumed value of the tension (third tension) introduced into the third string is PS3.

5A and 5B show a part of the dome structure 10, wherein FIG. 5A is a first model A showing a bending moment due to the fixed load DL of the dome structure 10, and FIG. 5B is a first tension applied to the first string 12. The second model B showing the bending moment when the assumed value PS1 is introduced, and (c) shows the third model C showing the bending moment when the assumed value PS3 of the third tension is introduced into the third string 19. Yes.
And the relationship of each bending moment M1, M2, M1 ', M2' mentioned above is represented by (9) Formula-(14) Formula.

  Specifically, in the tension calculation method, the bending moments (M1, M2, M1 ′, M2 ′) of the beam member 11 are expressed by the equations (9) and (9) in the models A to C shown in FIGS. 10) α · PS1 and β · PS3 are set so as to satisfy the equation. That is, the simultaneous equations of the equations (9) to (14) are solved and the coefficients α and β in the equations are calculated to obtain the optimal first string α · PS1 of the first string and the tension α · PS2 of the second string. And the third tension β · PS3 of the third string is obtained, and thereby the bending moment acting on the dome structure 10 can be reduced.

  By introducing the optimum tension calculated based on the tension calculation method to the first string 12, the second string 13, and the third string 19 in this way, the bending stress degree of the beam material 11 is minimized and the bending moment is maximized. The values can be equalized and the same member can be used reasonably.

  Next, in order to support the effect of the dome structure according to the above-described embodiment, an example in which tension is introduced using the above-described calculation method will be described below.

  In this example, in the dome structure according to the second embodiment described above, the optimum tension calculated by the above-described tension calculation method is introduced into the first string ST1, the second string ST2, and the third string ST3 ( 6) and a comparative example (FIG. 7) that does not include the first string ST1, the second string ST2, and the third string ST3, respectively, with respect to a cross section of a vertical support member such as a beam member, an outer ring beam, or a horizontal brace. Targeting the dominant weight (self-loading of the dome structure), the stress and displacement at each part were confirmed. Here, the dimensions of the roof of the dome structure are a span (vertical and horizontal length dimensions) of 47 m × 47 m and a height dimension (rise) of 3.1 m.

That is, in each of the example and the comparative example, the items of the central vertical displacement, the axial force of the beam material and the outer ring beam, and the bending moment of the beam material were compared. The fixed load of the dome structure at this time (corresponding to DL shown in FIG. 3 described above) is 1.3 kN / m ² .
6B to 6D show the region R1 shown in FIG. 6A, and FIGS. 7B to 7D show the region R0 shown in FIG. 7A.

  In the embodiment shown in FIG. 6, SN90, HY-1000 mm × 300 mm × 16 mm × 28 mm high-tensile steel is used as a beam material, and H-700 mm × 300 mm × A steel material of 13 mm × 24 mm was used, a steel material of H-600 mm × 200 mm to 346 mm × 174 mm was used for the small beam (horizontal brace material), and P-φ190.7 mm × 5.3 mm was used for the bundle material.

Further, in this embodiment, since the inner ring beam becomes large, the third string indicated by the symbol ST3 in FIG. 6A is arranged. This third string ST3 is effective in that stress and displacement can be controlled when the span of the inner ring beam is large, but this can also be used in combination with a stringed dome structure. In addition, when the span of the inner ring beam is small as in the dome type, it can be omitted. That is, the dome structure of the embodiment has a structure in which the first string ST1, the second string ST2, and the third string ST3 are arranged on the lower chord surface, and tension is introduced into the first string ST1 and the third string ST3 on the lower chord surface. ing.
Here, as a member of each string, a high-strength steel tie rod of φ90 mm is used for the first string ST1, a structural strand rope of φ53 mm is used for the second string ST2, and φ53 mm × 2 pieces are used for the third string ST3. A structural strand rope was used.
The optimum tensions calculated by the above-described tension calculation method and introduced into the first string ST1 and the third string ST3 are about 1200 kN for the first string ST1 and about 250 kN for the third string ST3.

  On the other hand, in the comparative example shown in FIG. 7, the structure does not include a string as described above, and each member (beam material, inner / outer ring ring beam, small beam, bundle material) constituting the dome structure is the same as that shown in FIG. Similar to the example.

First, in the embodiment, the central vertical displacement T11 shown in FIG. 6B is 64 mm, the axial force T12 of the beam shown in FIG. 6C is 1485 kN, and the axial force T13 of the outer ring beam is 246 kN. The bending moment T14 of the beam shown in FIG. 6 (d) was 150 kN · m.
On the other hand, in the comparative example, the central vertical displacement T01 shown in FIG. 7B is 160 mm, the axial force T02 of the beam shown in FIG. 7C is 2356 kN, and the axial force T03 of the outer ring beam is 2256 kN. The bending moment T04 of the beam shown in FIG. 7 (d) was 1013 kN · m.
Based on these results, it was confirmed that the example in which the optimum tension was introduced into the string using the above-described tension calculation method had a smaller stress and displacement applied to the dome structure than the comparative example without the string. It was done.

Next, in the third embodiment, another calculation method different from the calculation method of the optimum tension applied to the dome structure according to the above-described first embodiment will be described.
The optimum tension calculation method according to the third embodiment shown in FIGS. 8 and 9 is optimal for the self-weight (fixed load DL of the dome structure 10), which is the dominant load, as in the first embodiment. This is a method for obtaining the tension, and the introduction tension is set so that the bending moment of the beam member 11 is minimized when the end joint condition with the outer ring beam 15 is a rigid joint.

  8 and 9, the bending moment on the center side (center axis side) of the structure 1 of the beam member 11 is denoted by reference symbol M1, the bending moment of the upper portion of the bundle member 14 of the beam member 11 is denoted by reference symbol M2, and the beam member. The bending moment at the outer peripheral end 11a (see FIG. 2) 11 is denoted by M3. Further, the fixed load of the dome structure 10 is DL, the fixed load before the rigid joint is DL1, the fixed load applied after the rigid joint is DL2, and the assumed value of the tension introduced into the first string 12 (first tension). Is PS1, and the tension (second tension) of the second string 13 generated in the assumed value of the first tension PS1 is PS2. The fixed load DL is a load of a structural material, a roof material, a roof material base, a ceiling material, a ceiling material base, equipment piping, equipment, or the like.

8 and 9 show a part of the dome structure 10. FIG. 8A shows the first model A showing the bending moment of the dome structure 10 due to the fixed load DL, and FIG. 8B shows the rigid structure. FIG. 9 shows a third model C showing the bending moment when the assumed value SP1 of the first tension is introduced into the first string 12. The second model B shows the bending moment when the fixed load DL2 is applied after joining. Yes.
And the relationship of each bending moment M1 and M2 mentioned above and the relational expression of fixed load DL are represented by (4) Formula-(8) Formula.

Specifically, in the tension calculation method, in each of the models A to C shown in FIGS. 8A, 8B, and 9, the bending moments (M1, M2) of the beam material 11 are expressed by equations (4) and (5). Α · PS1 and α · PS2 are set so as to satisfy the equation. That is, by solving the simultaneous equations (4) to (8) and calculating the coefficient α in the equations, the optimal first tension assumed value PS1 of the first string and the tension α · PS2 of the second string Thus, the bending moment acting on the dome structure 10 can be reduced.
In this calculation method, when the fixed load DL1 before the rigid connection is applied, the assumed value PS1 and the second tension PS2 of the first tension are introduced, the outer ring beam 15 is set as the rigid connection, and the remaining rigid connections are performed. Control is performed so that the bending moment at the end of the outer ring beam 15 does not become excessive by the procedure of loading the fixed load DL2 applied later.

  Thus, by calculating the optimum tension by the calculation method according to the third embodiment, the bending stress degree of the beam material 11 can be minimized, the maximum value of the bending moment can be equalized, and the same member can be rationalized. Can be used.

Next, in the fourth embodiment, another calculation method different from the calculation method of the optimum tension applied to the dome structure according to the second embodiment will be described.
The calculation method of the optimum tension according to the fourth embodiment shown in FIGS. 10 and 11 applies to the own weight (fixed load DL of the dome structure 10), which is the dominant load, as in the second embodiment described above. In the case where the end joint condition with the outer ring beam 15 is rigid joint, the introduction tension is set so that the bending moment of the beam member 11 is minimized.

  10 and 11, the bending moment on the center side (center axis O side) of the structure 1 of the beam member 11 is denoted by M1, and the upper part of the bundle member 14 of the beam member 11 (the third intersection point P3 shown in FIG. 2). The bending moment at the center of the inner ring beam 16 (middle position in the length direction) is the symbol M1 ′, and the maximum bending moment at the intermediate portion between the support points of the inner ring beam 16 Is a symbol M2 ′, and a bending moment at the outer end 11a of the beam member 11 is a symbol M3. Further, the fixed load of the dome structure 10 is DL, the fixed load before the rigid joining is DL1, the fixed load applied after the rigid joining is DL2, and the assumed value of the tension introduced into the first string 12 (first tension). Is PS1, and the tension (second tension) of the second string 13 generated in the assumed value of the first tension PS1 is PS2, and the assumed value of the tension (third tension) introduced into the third string 19 is assumed. The fixed load DL is a load of a structural material, a roof material, a roof material base, a ceiling material, a ceiling material base, equipment piping, equipment, or the like.

10 and 11 show a part of the dome structure 10. FIG. 10A shows the first model A showing the bending moment of the dome structure 10 due to the fixed load DL, and FIG. 10B shows the rigid structure. The second model B showing the bending moment when the fixed load DL2 is applied after joining, FIG. 11A shows the third model C showing the bending moment when the assumed value SP1 of the first tension is introduced into the first string 12. FIG. 11B shows a fourth model D showing the bending moment when the assumed value SP3 of the third tension is introduced into the third string 19.
And the relationship of each bending moment M1, M2, M1 ', M2' mentioned above, and the relational expression of fixed load DL are represented by (15) Formula-(20) Formula.

Specifically, in the tension calculation method, the bending moment (M1, M2, M1 ′) of the beam member 11 in each of the models A to D shown in FIGS. 10 (a) and 10 (b) and FIGS. 11 (a) and 11 (b). , M2 ′) sets α · PS1 and β · PS3 so that the equations (15) and (16) are satisfied. That is, by solving the simultaneous equations of Equations (15) to (22) and calculating the coefficients α and β in the equations, the optimum first string first tension PS1 and the second string tension α · PS2 and the tension β · PS3 of the third string are obtained, whereby the bending moment acting on the dome structure 10 can be reduced.
In this calculation method, when the fixed load DL1 before rigid joining is used, the assumed value PS1 of the first tension and the assumed value PS3 of the third tension are introduced, and the outer peripheral ring beam 15 is made rigid, and the rest The bending moment at the end of the outer ring beam 15 is controlled so as not to become excessive by the procedure of loading the fixed load DL2 applied after the rigid joining of the outer ring.

  Thus, by calculating the optimum tension by the calculation method according to the fourth embodiment, the bending stress degree of the beam material 11 can be minimized, the maximum value of the bending moment can be equalized, and the same member can be rationalized. Can be used.

  As mentioned above, although embodiment of the dome structure by this invention was described, this invention is not limited to said embodiment, In the range which does not deviate from the meaning, it can change suitably.

Further, the dome structure targeted by the present invention can be applied not only to the dome shape as in the first embodiment and the modified example, but also to a cylinder, HP, flat plate, etc. including all convex curved surfaces.
In addition, the length, number of arrangement, fixed position, etc. of the beam material, first string, second string, third string, bundle material, etc. are appropriately set according to the shape and size of the structure and dome structure. Is possible.

DESCRIPTION OF SYMBOLS 1 Structure 2 Column material 10, 20 Dome structure 11, 21 Beam material 11a 21a Beam end 12, 22 1st string 12a, 22a Outer peripheral side end (one end)
12b, 22b Inner peripheral side end (other end)
13, 23 Second string 14, 24 Bundling material 15, 25 Outer ring beam 16, 26 Inner ring beam 17, 28 Horizontal brace 18 Bundling material (second bundling material)
19 Third string O Center axis of structure 1 (center of structure)
P1 1st intersection P2 2nd intersection P3 3rd intersection

Claims (4)

It is a dome structure that constitutes the roof frame provided on the pillar of the structure, and arranges beam members radially in plan view,
A plurality of beam members extending in a radial direction passing through the center of the structure;
These beams are arranged in the same direction as the beam with the length direction in the radial direction at a position below the beam, and one end is connected to the first intersection of the beam and the column. A first string having an end located between the center of the structure and the first intersection in plan view;
A second string connecting the other ends of the plurality of first strings;
A bundling material connecting an arbitrary position between the center of the structure of the beam material and the beam end and a second intersection of the other end of the first string and the second string;
An inner ring beam connecting intermediate portions between the center of the beam material and the beam end; and
Equipped with a,
In the first string and the second string, the optimum tension calculated based on the tension calculation method so as to minimize the bending moment of the beam material is introduced,
The tension calculation method is based on the simultaneous equations (1) to (3), and by setting the coefficient α in the expression, the first tension α · PS1 of the first string and the second string dome structure, wherein the method for calculating der Rukoto seeking and 2 tension alpha · PS2.

It is a dome structure that constitutes the roof frame provided on the pillar of the structure, and arranges beam members radially in plan view,
A plurality of beam members extending in a radial direction passing through the center of the structure;
These beams are arranged in the same direction as the beam with the length direction in the radial direction at a position below the beam, and one end is connected to the first intersection of the beam and the column. A first string having an end located between the center of the structure and the first intersection in plan view;
A second string connecting the other ends of the plurality of first strings;
A bundling material connecting an arbitrary position between the center of the structure of the beam material and the beam end and a second intersection of the other end of the first string and the second string;
An inner ring beam connecting intermediate portions between the center of the beam material and the beam end; and
With
In the first string and the second string, the optimum tension calculated based on the tension calculation method so as to minimize the bending moment of the beam material is introduced,
The tension calculation method is based on simultaneous equations (4) to (8), and by setting a coefficient α in the equation, the first tension α · PS1 of the first string and the second string A dome structure characterized by being a calculation method for obtaining 2 tension α · PS2 .

It is a dome structure that constitutes the roof frame provided on the pillar of the structure, and arranges beam members radially in plan view,
A plurality of beam members extending in a radial direction passing through the center of the structure;
These beams are arranged in the same direction as the beam with the length direction in the radial direction at a position below the beam, and one end is connected to the first intersection of the beam and the column. A first string having an end located between the center of the structure and the first intersection in plan view;
A second string connecting the other ends of the plurality of first strings;
A bundling material connecting an arbitrary position between the center of the structure of the beam material and the beam end and a second intersection of the other end of the first string and the second string;
An inner ring beam connecting intermediate portions between the center of the beam material and the beam end; and
A third string provided below the intermediate ring beam at a predetermined intermediate position and connected between both ends of the inner ring beam and the lower end of the second bundle;
With
In the first string, the second string, and the third string, the optimum tension calculated based on the tension calculation method so as to minimize the bending moment of the beam material is introduced,
In the tension calculation method, by setting the coefficients α and β in the equations from the simultaneous equations (9) to (14), the first tension α · PS1 of the first string and the second string The dome structure is a calculation method for obtaining the second tension α · PS2 of the third string and the third tension β · PS3 of the third string .

It is a dome structure that constitutes the roof frame provided on the pillar of the structure, and arranges beam members radially in plan view,
A plurality of beam members extending in a radial direction passing through the center of the structure;
These beams are arranged in the same direction as the beam with the length direction in the radial direction at a position below the beam, and one end is connected to the first intersection of the beam and the column. A first string having an end located between the center of the structure and the first intersection in plan view;
A second string connecting the other ends of the plurality of first strings;
A bundling material connecting an arbitrary position between the center of the structure of the beam material and the beam end and a second intersection of the other end of the first string and the second string;
An inner ring beam connecting intermediate portions between the center of the beam material and the beam end; and
A third string provided below the intermediate ring beam at a predetermined intermediate position and connected between both ends of the inner ring beam and the lower end of the second bundle;
With
In the first string, the second string, and the third string, the optimum tension calculated based on the tension calculation method so as to minimize the bending moment of the beam material is introduced,
In the tension calculation method, by setting the coefficients α and β in the equations from the simultaneous equations (15) to (22), the first tension PS1 of the first string and the first tension PS1 of the second string are set. A dome structure characterized by being a calculation method for obtaining a second tension PS2 and a third tension β · PS3 of the third string .

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