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JP7500265B2 - Truss structure - Google Patents
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JP7500265B2 - Truss structure - Google Patents

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JP7500265B2
JP7500265B2 JP2020083775A JP2020083775A JP7500265B2 JP 7500265 B2 JP7500265 B2 JP 7500265B2 JP 2020083775 A JP2020083775 A JP 2020083775A JP 2020083775 A JP2020083775 A JP 2020083775A JP 7500265 B2 JP7500265 B2 JP 7500265B2
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智美 木原
健嗣 田中
俊司 山本
里奈 田中
遼 和多田
壱成 田中
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Takenaka Corp
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Description

本発明は、例えば鉄骨造や木造のトラス架構に関する。 The present invention relates to truss structures, for example, steel-framed or wooden structures.

従来、ラチス梁等のロングスパンのトラス架構(図3(A)参照)として、上弦材1又は下弦材2の一端側から他端側に向かって複数の三角形(少なくとも上弦材1又は下弦材2の一部を1辺とする三角形)が並ぶように上弦材1及び下弦材2が複数の連結材3で連結されたブリッジ4を有するものがある。斯かるトラス架構において、ブリッジ4の中央から支点のある端部に近づくにつれてせん断力が大きくなる分布(図3(B)参照)をとる場合、ブリッジ4の端部に近い連結材3ほど負担する軸力が大きくなるため、この負担を考慮して連結材3の断面を設計する必要がある。 Traditionally, long-span truss structures such as lattice beams (see Fig. 3(A)) have a bridge 4 in which the upper chord 1 and the lower chord 2 are connected by multiple connecting members 3 so that multiple triangles (triangles with at least a part of the upper chord 1 or lower chord 2 as one side) are lined up from one end of the upper chord 1 or the lower chord 2 to the other end. In such a truss structure, if a distribution is taken in which the shear force increases from the center of the bridge 4 toward the end where the support is located (see Fig. 3(B)), the axial force borne by the connecting members 3 closer to the end of the bridge 4 will be greater, and so the cross section of the connecting members 3 must be designed taking this force into consideration.

しかし、一般に、図3(C)のようにブリッジ4端部の連結材3の断面のみを大きくするといったことは行われず、意匠性や製作性の観点からブリッジ4の各三角形の形状と連結材3の断面とは画一化され(図3(A)参照)、この際、最も負担する軸力が大きいブリッジ4の端部の連結材3に必要とされる断面が他の連結材3にも適用され、それだけ連結材3に使用する材料のトータル量が増加することになる。 However, generally speaking, the cross section of only the connecting material 3 at the end of the bridge 4 is not enlarged as in Figure 3(C), and from the standpoint of design and ease of production, the shape of each triangle of the bridge 4 and the cross section of the connecting material 3 are standardized (see Figure 3(A)). In this case, the cross section required for the connecting material 3 at the end of the bridge 4 that bears the greatest axial force is also applied to the other connecting materials 3, which increases the total amount of material used for the connecting materials 3.

本発明は上述の事柄に留意してなされたもので、その目的は、連結材に使用する材料のトータル量を抑えることが容易なトラス架構を提供することにある。 The present invention was made with the above in mind, and its purpose is to provide a truss structure that makes it easy to reduce the total amount of material used for the connecting members.

上記目的を達成するために、本発明に係るトラス架構は、上弦材又は下弦材の一端側から他端側に向かって複数の三角形が並ぶように上弦材及び下弦材が複数の連結材で連結され、下弦材の一部を底辺とする上向きの三角形どうしで底辺の長さが一様でないブリッジを有し、下弦材の一部を底辺とする上向きの三角形どうしで、ブリッジの中央側の三角形の底辺よりも両端側の三角形の底辺が短く、ブリッジの中央側に底辺が相互に同一の三角形が複数設けられるとともに、ブリッジの両端側のそれぞれに底辺が相互に同一の三角形が複数設けられ、ブリッジは連結材として束材がなく斜材のみを含む(請求項1)。 In order to achieve the above-mentioned objective, the truss structure of the present invention has an upper chord and a lower chord connected by a plurality of connecting members so that a plurality of triangles are lined up from one end of the upper chord or the lower chord to the other end , has bridges with upward triangles whose bases are part of the lower chord and whose base lengths are not uniform, and has upward triangles whose bases are part of the lower chord and whose bases are shorter at both ends than at the center of the bridge, and has a plurality of triangles with the same bases at the center of the bridge, and has a plurality of triangles with the same bases at each end of the bridge, and the bridge does not have bundle members as connecting members but only diagonal members (Claim 1).

上記トラス架構において、ブリッジは、その長手方向において、中央でせん断力が小、ブリッジの両端側でせん断力が大となるせん断力分布を有していてもよい(請求項2)。 In the above truss structure, the bridge may have a shear force distribution in its longitudinal direction, in which the shear force is small at the center and large at both ends of the bridge (claim 2).

本願発明では、連結材に使用する材料のトータル量を抑えることが容易なトラス架構が得られる。 The present invention provides a truss structure that makes it easy to reduce the total amount of material used for the connecting members.

すなわち、本願の各請求項に係る発明のトラス架構では、連結材等によって形成する複数の三角形の画一化及び各連結材の断面の画一化を図る従来のトラス架構(図3(A)参照)に比べ、連結材等によって形成する複数の三角形の画一化を図らないことにより、各連結材の断面の画一化を図る場合はもちろん、図らない場合にも、連結材に使用する材料のトータル量を抑えることが容易となる。 In other words, in the truss structure of the invention according to each claim of this application, compared to a conventional truss structure (see FIG. 3(A)) that standardizes the multiple triangles formed by the connecting materials and the cross sections of each connecting material, the truss structure does not standardize the multiple triangles formed by the connecting materials, making it easier to reduce the total amount of material used for the connecting materials, not only when standardizing the cross sections of each connecting material is attempted, but also when not.

請求項1に係る発明のトラス架構は、ブリッジの中央でせん断力が小、ブリッジの両端側(支点周辺)でせん断力が大となる一般的な平行弦トラス(ラチス梁)等に用いて好適である。 The truss structure of the invention according to claim 1 is suitable for use in a general parallel chord truss (lattice beam) in which the shear force is small at the center of the bridge and large at both ends of the bridge (around the supports).

本発明の一実施の形態に係るトラス架構の構成を概略的に示す説明図である。1 is an explanatory diagram illustrating a schematic configuration of a truss frame according to an embodiment of the present invention; 前記トラス架構の要部の構成を概略的に示す説明図である。FIG. 2 is an explanatory diagram illustrating a schematic configuration of a main part of the truss structure. (A)は従来のトラス架構の構成を示す説明図、(B)は(A)に示す従来のトラス架構に設計荷重(等荷重)が掛かったときに生ずるせん断力分布を示す説明図、(C)はブリッジの端部付近の連結材の断面を大きくした仮想のトラス架構を示す説明図である。(A) is an explanatory diagram showing the configuration of a conventional truss structure, (B) is an explanatory diagram showing the shear force distribution that occurs when a design load (uniform load) is applied to the conventional truss structure shown in (A), and (C) is an explanatory diagram showing a hypothetical truss structure in which the cross-section of the connecting material near the end of the bridge is enlarged.

本発明の実施の形態について図面を参照しながら以下に説明する。 The following describes an embodiment of the present invention with reference to the drawings.

本実施の形態に係るトラス架構は、図1及び図2に示すように、上弦材1又は下弦材2の一端側から他端側に向かって複数の三角形が並ぶように上弦材1及び下弦材2が複数の連結材3で連結され、平行弦トラスを構成するブリッジ(トラス枠体)4を有する。本例のトラス架構は、その両端が柱等の支持部材(支点)によって支持されているロングスパン(例えば形成される三角形が五つ以上)のトラス架構である。 As shown in Figures 1 and 2, the truss structure of this embodiment has a bridge (truss frame) 4 that forms a parallel chord truss, in which the upper chord 1 and the lower chord 2 are connected by multiple connecting members 3 so that multiple triangles are lined up from one end of the upper chord 1 or the lower chord 2 to the other end. The truss structure of this example is a long-span truss structure (e.g., five or more triangles are formed) whose both ends are supported by supporting members (supports) such as columns.

そして、本例では、上弦材1の一部を底辺5とする下向きの三角形6どうし又は下弦材2の一部を底辺7とする上向きの三角形8どうしで底辺5、7の長さが一様でないようにしてある。なお、図示例では、下向きの三角形6どうしにおいても、上向きの三角形8どうしにおいても、底辺5,7の長さが一様ではない。 In this example, the lengths of the bases 5, 7 are not uniform between the downward triangles 6 whose base 5 is a part of the upper chord 1, or between the upward triangles 8 whose base 7 is a part of the lower chord 2. Note that in the illustrated example, the lengths of the bases 5, 7 are not uniform between the downward triangles 6 or between the upward triangles 8.

斯かる本例のトラス架構では、連結材3等によって形成する複数の三角形の画一化及び各連結材3の断面の画一化を図る従来のトラス架構(図3(A)参照)に比べ、連結材3等によって形成する複数の三角形の画一化を図らないことにより、各連結材3の断面の画一化を図る場合はもちろん、図らない場合にも、連結材3に使用する材料のトータル量を抑えることが容易となる。 In the truss structure of this example, compared to a conventional truss structure (see FIG. 3(A)) that standardizes the multiple triangles formed by the connecting members 3 and the cross sections of each connecting member 3, the multiple triangles formed by the connecting members 3 are not standardized, making it easier to reduce the total amount of material used for the connecting members 3, not only when standardizing the cross sections of each connecting member 3 is attempted, but also when not.

また、本例のトラス架構では、図2に示すように、下向きの三角形6どうし又は上向きの三角形8どうしで、ブリッジ4の中央側の三角形6,8の底辺5,7よりも両端側の三角形6,8の底辺5,7が短くなるようにしてある。 In addition, as shown in Figure 2, in the truss structure of this example, the bases 5, 7 of the triangles 6, 8 at both ends are shorter than the bases 5, 7 of the triangles 6, 8 at the center of the bridge 4 between the downward triangles 6 or between the upward triangles 8.

なお、本例では、下向きの三角形6どうしにおいても、上向きの三角形8どうしにおいても、ブリッジ4の中央側の三角形6,8の底辺5,7よりも両端側の三角形6,8の底辺5,7が短くなるようにしてある。すなわち、図2において、ブリッジ4の中央側の三角形6の底辺5の長さL5Cよりも、ブリッジ4の両端側の三角形6の底辺5の長さL5Sは短く、また、ブリッジ4の中央側の三角形8の底辺7の長さL7Cよりも、ブリッジ4の両端側の三角形8の底辺7の長さL7Sは短い。 In this example, the bases 5, 7 of the triangles 6, 8 at both ends are shorter than the bases 5, 7 of the triangles 6, 8 at the center of the bridge 4, both between the downward triangles 6 and between the upward triangles 8. That is, in FIG. 2, the length L5S of the base 5 of the triangle 6 at both ends of the bridge 4 is shorter than the length L5C of the base 5 of the triangle 6 at the center of the bridge 4, and the length L7S of the base 7 of the triangle 8 at both ends of the bridge 4 is shorter than the length L7C of the base 7 of the triangle 8 at the center of the bridge 4.

斯かる本例のトラス架構は、例えば、ブリッジ4の中央でせん断力が小、ブリッジ4の両端側(支点周辺)でせん断力が大となる一般的な平行弦トラス(ラチス梁)等に用いて好適となる。なぜなら、せん断力が小となるブリッジ4の中央側よりもせん断力が大となる両端側において連結材3が高密度に配され、各連結材3が負担する軸力Nのばらつきを抑制するのが容易となるからである。 The truss structure of this example is suitable for use in, for example, a general parallel chord truss (lattice beam) in which the shear force is small at the center of the bridge 4 and large at both ends of the bridge 4 (around the supports). This is because the connecting members 3 are arranged at a higher density at both ends where the shear force is large than at the center of the bridge 4 where the shear force is small, making it easier to suppress the variation in the axial force N borne by each connecting member 3.

換言すれば、本例のトラス架構では、ブリッジ4の長手方向におけるせん断力分布(例えばブリッジ4を一つの梁(単純梁)とみなした場合に考えられるせん断力分布であり、等荷重分布ではない)に応じて三角形6,8の底辺5,7の長さを異ならせてあり、具体的には、せん断力分布に応じ、相対的にせん断力が小となる領域(相対的に支点から遠い領域であり、本例ではブリッジ4の中央側)では三角形6,8の底辺5,7を相対的に長く(連結材3の勾配θを小さく)し、せん断力が大となる領域(相対的に支点に近い領域であり、本例ではブリッジ4の両端側)では三角形6,8の底辺5,7を相対的に短く(連結材3の勾配θを大きく)してある。 In other words, in the truss structure of this example, the lengths of the bases 5, 7 of the triangles 6, 8 are made different according to the shear force distribution in the longitudinal direction of the bridge 4 (for example, this is the shear force distribution that can be assumed when the bridge 4 is considered as one beam (simple beam), and is not an equal load distribution). Specifically, in areas where the shear force is relatively small (areas relatively far from the fulcrum, in this example the center of the bridge 4), the bases 5, 7 of the triangles 6, 8 are made relatively long (the slope θ of the connecting material 3 is made small) and in areas where the shear force is large (areas relatively close to the fulcrum, in this example both ends of the bridge 4), the bases 5, 7 of the triangles 6, 8 are made relatively short (the slope θ of the connecting material 3 is made large) according to the shear force distribution.

ここで、せん断力Qと連結材3に生じる軸力Nと勾配θ(各三角形6,8において底辺5,7と連結材3とのなす角度)との間にはQ=N×sinθの関係があるので、同じ値のせん断力Qに対して、連結材3の勾配θが大きくなるほど、連結材3に生じる軸力Nを低減することができる。そのため、ブリッジ4が一般的な平行弦トラスの場合、連結材3の勾配θを、ブリッジ4両端側のせん断力が相対的に大きい領域では鉛直に近づけ、ブリッジ4中央側のせん断力が相対的に小さい領域では水平に近づけることで、連結材3に生じる軸力Nのばらつきを抑制し、連結材3の断面の均一化を図りつつ最小限に抑えて、使用する材料のトータル量の低減を図ることが可能となる。 Here, there is a relationship of Q = N × sinθ between the shear force Q, the axial force N generated in the connecting member 3, and the gradient θ (the angle between the bases 5, 7 and the connecting member 3 in each triangle 6, 8), so for the same value of shear force Q, the greater the gradient θ of the connecting member 3, the more the axial force N generated in the connecting member 3 can be reduced. Therefore, when the bridge 4 is a typical parallel chord truss, by making the gradient θ of the connecting member 3 closer to vertical in the areas where the shear force on both ends of the bridge 4 is relatively large, and closer to horizontal in the areas where the shear force on the center side of the bridge 4 is relatively small, it is possible to suppress the variation in the axial force N generated in the connecting member 3, minimize it while making the cross section of the connecting member 3 uniform, and reduce the total amount of material used.

また、図1の例では、底辺5,7の長さをブリッジ4の中央側と両端側との二段階でのみ異ならせてあるが、三段階以上に異ならせてもよい。例えば、せん断力がブリッジ4の両端から中央に向かって大中小の三段階に分けられる場合には、ブリッジ4の両端から中央に向かって、底辺5,7が長い領域と、中間の領域と、短い領域との三種類に区分することが考えられる。 In the example of FIG. 1, the lengths of the bases 5, 7 are different in only two stages, the center side and both ends of the bridge 4, but they may be different in three stages or more. For example, if the shear force is divided into three stages, large, medium and small, from both ends of the bridge 4 to the center, it is conceivable to divide the bases 5, 7 into three types, a long region, a medium region and a short region, from both ends of the bridge 4 to the center.

なお、この場合、勾配θは、例えば、連結材3の数量を評価条件、応力度・変形・振動数を制約条件とした遺伝的アルゴリズムを用いて最適化した解とすることが考えられる。 In this case, the gradient θ can be calculated by optimizing the solution using a genetic algorithm with the quantity of connecting members 3 as the evaluation conditions and the stress, deformation, and vibration frequency as the constraints.

斯かる本例のトラス架構では、せん断力分布に応じた合理的な構造を実現するのが容易となる。また、ロングスパンのブリッジ4の連結材3断面を画一化し、ブリッジ4に統一感を持たせつつ製作性に優れた架構とすることも容易となる。 The truss structure of this example makes it easy to realize a rational structure that corresponds to the shear force distribution. It also makes it easy to standardize the cross section of the connecting members 3 of the long-span bridge 4, giving the bridge 4 a unified look while creating a structure that is easy to manufacture.

なお、本発明は、上記の実施の形態に何ら限定されず、本発明の要旨を逸脱しない範囲において種々に変形して実施し得ることは勿論である。 The present invention is not limited to the above-described embodiment, and can of course be modified in various ways without departing from the spirit of the invention.

本発明のトラス架構は、例えば、鉄骨造(鉄骨トラス)や木造(木造トラス)等のトラス架構に適用可能である。 The truss structure of the present invention can be applied to truss structures such as steel-framed structures (steel truss) and wooden structures (wooden truss).

図1及び図2には、ブリッジ4が、連結材3として束材(垂直材)がなく斜材のみを含むワーレントラスの場合を示してあるが、本発明は、連結材3として束材及び斜材を含むワーレントラス、ハウトラス、プラットトラス等、他のトラス構造にも適用可能である。 Figures 1 and 2 show a case where the bridge 4 is a Warren truss that does not have any beams (vertical members) and only includes diagonal members as the connecting members 3, but the present invention can also be applied to other truss structures that include beams and diagonal members as the connecting members 3, such as a Warren truss, Howe truss, and Pratt truss.

また、図1及び図2には、上弦材1と下弦材2とが平行に延びる平行弦トラスを示してあるが、本発明は、上弦材1が山なりに延びる山形トラス(例えばキングポストトラスや曲弦プラットトラス)等、上下二本の弦材1,2が平行でない他のトラス構造にも適用可能である。 Although Figures 1 and 2 show a parallel chord truss in which the upper chord 1 and the lower chord 2 extend parallel to each other, the present invention can also be applied to other truss structures in which the upper and lower chords 1, 2 are not parallel, such as an angle truss in which the upper chord 1 extends in an arc (e.g., a king post truss or a curved chord Pratt truss).

また、図1及び図2には、平面トラスを示してあるが、本発明は、立体トラスにも適用可能である。 Although Figures 1 and 2 show a planar truss, the present invention can also be applied to a space truss.

なお、上記変形例どうしを適宜組み合わせてもよいことはいうまでもない。 It goes without saying that the above modifications may be combined as appropriate.

1 上弦材
2 下弦材
3 連結材
4 ブリッジ
5 底辺
6 下向きの三角形
7 底辺
8 上向きの三角形
L5C 中央側の下向きの三角形の底辺の長さ
L5S 両端側の下向きの三角形の底辺の長さ
L7C 中央側の上向きの三角形の底辺の長さ
L7S 両端側の上向きの三角形の底辺の長さ
N 軸力
Q せん断力
θ 勾配
1 Upper chord 2 Lower chord 3 Connecting member 4 Bridge 5 Base 6 Downward triangle 7 Base 8 Upward triangle L5C Length of the base of the downward triangle at the center L5S Length of the base of the downward triangle at both ends L7C Length of the base of the upward triangle at the center L7S Length of the base of the upward triangle at both ends N Axial force Q Shear force θ Gradient

Claims (2)

上弦材又は下弦材の一端側から他端側に向かって複数の三角形が並ぶように上弦材及び下弦材が複数の連結材で連結され、下弦材の一部を底辺とする上向きの三角形どうしで底辺の長さが一様でないブリッジを有し、
下弦材の一部を底辺とする上向きの三角形どうしで、ブリッジの中央側の三角形の底辺よりも両端側の三角形の底辺が短く、ブリッジの中央側に底辺が相互に同一の三角形が複数設けられるとともに、ブリッジの両端側のそれぞれに底辺が相互に同一の三角形が複数設けられ、
ブリッジは連結材として束材がなく斜材のみを含むトラス架構。
The upper chord and the lower chord are connected by a plurality of connecting members so that a plurality of triangles are lined up from one end side of the upper chord or the lower chord to the other end side, and a bridge having an uneven base length is provided between the upward triangles having a base of a part of the lower chord ,
The bases of the triangles at both ends of the bridge are shorter than the base of the triangle at the center of the bridge, and multiple triangles with the same base are provided at the center of the bridge, and multiple triangles with the same base are provided at both ends of the bridge.
A bridge is a truss structure that does not have beams as connecting members and only includes diagonal members .
ブリッジは、その長手方向において、中央でせん断力が小、ブリッジの両端側でせん断力が大となるせん断力分布を有する請求項1に記載のトラス架構。
2. The truss structure according to claim 1 , wherein the bridge has a shear force distribution in the longitudinal direction thereof such that the shear force is small at the center and large at both ends of the bridge.
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Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20070107365A1 (en) 1996-05-16 2007-05-17 Turb-O-Web International Pty. Limited Manufacture of trusses
JP2016505744A (en) 2012-12-19 2016-02-25 パトコ リミテッド ライアビリティ カンパニーPatco, Llc Truss structure
JP2021014764A (en) 2019-07-11 2021-02-12 株式会社Looop Car port with solar panel

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Publication number Priority date Publication date Assignee Title
JPS53125224U (en) * 1977-03-14 1978-10-05
JPH10131395A (en) * 1996-10-30 1998-05-19 Misawa Homes Co Ltd Reinforcing beam

Patent Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20070107365A1 (en) 1996-05-16 2007-05-17 Turb-O-Web International Pty. Limited Manufacture of trusses
JP2016505744A (en) 2012-12-19 2016-02-25 パトコ リミテッド ライアビリティ カンパニーPatco, Llc Truss structure
JP2021014764A (en) 2019-07-11 2021-02-12 株式会社Looop Car port with solar panel

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