JP2020147934A - Dome-like member net construction method by bulging linear member or the like - Google Patents
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本発明は、直線部材を強制変形させて骨組み構造のドーム状の部材網を構築する新たな方法を提案するものである。 The present invention proposes a new method for constructing a dome-shaped member net having a skeleton structure by forcibly deforming a straight member.
ドーム又はドーム状構造体を構築する場合、現場で仮設足場、支保工、形枠を組みコンクリートを打設して構築する方法や、工期短縮、高所作業の軽減等をはかるため、事前に工場等で製作した各種部材を建設現場に運搬し、建設現場に仮設足場、支保工を組み、クレーン等により各種部材を持上げ、それらを接続・結合して構築する方法等が実施されている(例えば特許文献1及び特許文献2参照)。 When constructing a dome or dome-shaped structure, a factory will be constructed in advance in order to shorten the construction period and reduce work in high places, as well as a method of constructing temporary scaffolding, support work, and concrete by assembling a frame at the site. A method is implemented in which various members manufactured by the above are transported to a construction site, temporary scaffolding and support work are assembled at the construction site, various members are lifted by a crane, etc., and they are connected and connected for construction (for example). See Patent Document 1 and Patent Document 2).
このような従来の方法に対して、特許文献3及び特許文献図16は、直線状部材を現場でアーチ状に強制変形させてドーム状部材網を構築する方法であるが、構築するドームの立地面積より広い施工面積を必要とした。本願の方法は立地面積とほぼ同じ施工面積でドームを構築することができる方法である。 In contrast to such a conventional method, Patent Document 3 and Patent Document FIG. 16 show a method of constructing a dome-shaped member network by forcibly deforming a linear member into an arch shape at a site, but the location of the dome to be constructed. A construction area larger than the area was required. The method of the present application is a method capable of constructing a dome with a construction area almost the same as the location area.
本発明は特許文献3と特許文献4によるドーム状部材網の構築がドームの立地面積より広い施工面積を必要とするのに対し、立地面積とほぼ同じ施工面積でドームの構築を可能とし、土地の有効利用を図るものである。
In the present invention, while the construction of the dome-shaped member network according to Patent Documents 3 and 4 requires a construction area larger than the location area of the dome, it is possible to construct the dome with almost the same construction area as the location area, and the land Is intended for effective use of.
本願発明は,構築するドームの外周位置の基礎工にドームのスパンより長い直線部材の外側端部をヒンジに固定してドーム状部材網を構築するものである。 According to the present invention, a dome-shaped member net is constructed by fixing the outer end of a straight member longer than the span of the dome to a hinge on the foundation work at the outer peripheral position of the dome to be constructed.
図1は特許文献3及び特許文献4によるドーム状部材網構築の方法で、基礎工1に、固定環状枠3aを用いて一体化した長さS0の直線部材2を配置し(図1の実線)、その両端部に全水平力ΣHを加えて両端部の距離を縮小する縮径によって、直線部材2をアーチ状に変形させてドーム状部材網を構築するものであり縮径方式といえる方法である(図1の1点鎖線参照)。ここでS0はスパンLとライズfで形成されるアーチの弧長で、ΣHは縮径するための全水平力ΣH=Hr+Hgで、Hrは直線部材2を強制変形させるための力で、Hgは自重による水平反力である。この縮径方式による作業には少なくても直径S0の円形状の面積が必要で、半円形ドームの場合ドームの立地面積の2.5倍必要となる。 FIG. 1 shows a method of constructing a dome-shaped member network according to Patent Documents 3 and 4, in which a straight member 2 having a length S0 integrated with a fixed annular frame 3a is arranged on the foundation work 1 (solid line in FIG. 1). ), A method that can be said to be a diameter reduction method, in which a linear member 2 is deformed into an arch shape to construct a dome-shaped member network by reducing the diameter by applying a total horizontal force ΣH to both ends to reduce the distance between both ends. (See the one-point chain line in FIG. 1). Here, S0 is the arc length of the arch formed by the span L and the rise f, ΣH is the total horizontal force ΣH = Hr + Hg for reducing the diameter, Hr is the force for forcibly deforming the linear member 2, and Hg is. It is a horizontal reaction force due to its own weight. The work by this diameter reduction method requires at least a circular area with a diameter of S0, and in the case of a semicircular dome, 2.5 times the location area of the dome is required.
本願の方法ではほぼ立地面積で作業が出来るもので、図2でその概要を示す。基礎工1にS0の1/2の長さS(=S0/2)の直線部材2の外側端部を構築するドームの外周位置のヒンジ4に固定し、長さSの直線部材2の中間部に張出し支点5を設け、この張出し支点5に長さSの直線部材2を張出し角度θ0の張出し基準線2aに沿って放射状に立掛ける。直線部材2は張出し単純梁構造となりその構造の概念を図3に示す。立掛けた直線部材2は自重により図2の実線のように下方に撓む。 The method of the present application can work in almost the location area, and FIG. 2 shows an outline thereof. The outer end of the straight member 2 having a length S (= S0 / 2) of 1/2 of S0 is fixed to the hinge 4 at the outer peripheral position of the dome, and is intermediate to the straight member 2 having a length S. An overhanging fulcrum 5 is provided in the portion, and a straight member 2 having a length S is radially hung on the overhanging fulcrum 5 along an overhanging reference line 2a having an overhanging angle θ0. The straight member 2 has an overhanging simple beam structure, and the concept of the structure is shown in FIG. The straight member 2 leaning against it bends downward due to its own weight as shown by the solid line in FIG.
張出し支点5について、高さは構築するアーチ(図2の点線)の張出し支点5位置の高さ以下とする。張出し支点5の位置は、自重による等分布荷重Wと端部集中荷重Fによる曲げ作用に対して強度的に安全であるよう算出された張出し長aから、ヒンジ4からの距離であるスパンl(=S−a)が定まる。尚、張出し支点5は直線部材2の横方向変位(周方向変位)を拘束する構造になっており(図7(c)参照)、直線部材2の横座堀を防ぐ役割を果たしている。 The height of the overhanging fulcrum 5 shall be equal to or less than the height of the overhanging fulcrum 5 position of the arch to be constructed (dotted line in FIG. 2). The position of the overhang fulcrum 5 is the span l (distance from the hinge 4) from the overhang length a calculated so as to be strong against the bending action due to the evenly distributed load W due to its own weight and the end concentrated load F. = SA) is determined. The overhanging fulcrum 5 has a structure that restrains the lateral displacement (circumferential displacement) of the linear member 2 (see FIG. 7C), and plays a role of preventing the lateral counterbore of the linear member 2.
中心に集まった直線部材2の張出し先端部相互を水平状に強固に固定することにより一体化して、ドームのスパンLより長くなった直線部材2がスパンLの両ヒンジ4の間に押し挟まれた状態になりドーム状部材網が構築され(図2の点線参照)、立地面積内でのドーム状部材網の施工が可能となる。以後この方式を「張出し先端部固定方式」と称す。 The overhanging tips of the straight members 2 gathered at the center are integrated by firmly fixing each other horizontally, and the straight members 2 longer than the span L of the dome are pressed and sandwiched between the hinges 4 of the span L. A dome-shaped member net is constructed in this state (see the dotted line in FIG. 2), and the dome-shaped member net can be constructed within the location area. Hereinafter, this method will be referred to as a "overhanging tip fixing method".
張出し支点5の位置と張出し先端部の固定の関係について図4で説明する。図4(a)は張出し支点5を内側(構築するアーチの中心側)に設けた場合である。外側端部をヒンジ4に固定し張出し支点5に立掛けた直線部材2の張出し部は自重により下に撓みながら(図4(a)の実線)構築するドームのライズの高さfより上側になっている。張出し先端部を水平状に固定するために直線部材2の端部に下向きの力Fを加えてドームのライズfと同じ高さにする。下向きの力Fは直線部材2毎でも全部を同時に行っても良い。ドームのライズfと同高さにしてから(この時点ではヒンジ4にはまだ水平反力は発生していない)、直線部材2の張出し先端部相互を固定装置6により水平状に固定する。これにより相対する直線部材2は一体化され完成時のドーム形状(図4(a)の点線)になり、ヒンジ4には全水平力ΣH=Hr+Hgが発生する(図4(a)の矢印参照)。張出し支点5による支持は消失する。 The relationship between the position of the overhanging fulcrum 5 and the fixing of the overhanging tip portion will be described with reference to FIG. FIG. 4A shows a case where the overhanging fulcrum 5 is provided inside (center side of the arch to be constructed). The overhanging portion of the straight line member 2 whose outer end is fixed to the hinge 4 and leans against the overhanging fulcrum 5 bends downward due to its own weight (solid line in FIG. 4A) and is above the height f of the rise of the dome to be constructed. It has become. A downward force F is applied to the end of the straight member 2 to fix the overhanging tip horizontally so that the height is the same as the rise f of the dome. The downward force F may be applied to each of the linear members 2 or all at the same time. After making the height equal to the rise f of the dome (at this point, a horizontal reaction force has not yet been generated in the hinge 4), the overhanging tips of the straight members 2 are fixed horizontally by the fixing device 6. As a result, the opposing straight members 2 are integrated into a dome shape (dotted line in FIG. 4 (a)) at the time of completion, and a total horizontal force ΣH = Hr + Hg is generated in the hinge 4 (see the arrow in FIG. 4 (a)). ). The support provided by the overhanging fulcrum 5 disappears.
張出し支点5を図4(a)より外側(外周側)に設けると、直線部材2の張出し部の撓みが大きくなり先端部がドームのライズfと同高さになる(図4(b)の実線)。この状態で直線部材2の張出し先端部相互を固定装置6により水平状に固定する。これにより一体化した直線部材2は完成時のドーム形状(図4(b)の点線)になり、ヒンジ4には全水平力ΣH=Hr+Hgが発生する(図4(b)の矢印参照)。張出し支点5による支持は消失する。 When the overhanging fulcrum 5 is provided outside (outer peripheral side) from FIG. 4A, the bending of the overhanging portion of the straight member 2 becomes large and the tip portion becomes the same height as the rise f of the dome (FIG. 4B). solid line). In this state, the overhanging tips of the straight members 2 are fixed horizontally by the fixing device 6. As a result, the integrated straight member 2 has a dome shape (dotted line in FIG. 4B) at the time of completion, and a total horizontal force ΣH = Hr + Hg is generated in the hinge 4 (see the arrow in FIG. 4B). The support provided by the overhanging fulcrum 5 disappears.
張出し支点5をより外側に設けると、直線部材2の張出し部の撓みが大きくなり先端部がドームのライズfより下側になる(図4(c)の実線)。直線部材2の端部に上向きの力Fを加えてドームのライズfと同じ高さにする。ドームのライズfと同高さにしてから(この時点ではヒンジ4にはまだ水平反力は発生していない)、直線部材2の張出し先端部相互を固定装置6により水平状に固定する。これにより一体化した直線部材2は完成時のドーム形状(図4(c)の点線)になり、ヒンジ4には全水平力ΣH=Hr+Hgが発生する(図4(c)の矢印参照)。張出し支点5による支持は消失する。 When the overhanging fulcrum 5 is provided on the outer side, the bending of the overhanging portion of the straight member 2 becomes large, and the tip portion becomes lower than the rise f of the dome (solid line in FIG. 4C). An upward force F is applied to the end of the straight member 2 to make it the same height as the rise f of the dome. After making the height equal to the rise f of the dome (at this point, a horizontal reaction force has not yet been generated in the hinge 4), the overhanging tips of the straight members 2 are fixed horizontally by the fixing device 6. As a result, the integrated straight member 2 has a dome shape (dotted line in FIG. 4 (c)) at the time of completion, and a total horizontal force ΣH = Hr + Hg is generated in the hinge 4 (see the arrow in FIG. 4 (c)). The support provided by the overhanging fulcrum 5 disappears.
図5において、張出し単純梁構造における自重wによる曲げ作用による先端の撓みをδwとし(図5の実線参照)、先端部載荷の集中荷重Fによる先端の撓みδfとすると(図5の1点鎖線参照)、集中荷重Fは、δf=δ0−δwになる荷重として算出される。ここでδ0は直線部材2の張出し角度θ0からδ0=Ssinθ0−fより定まる。θ0はtanθ0=y0/x0で、x0は張出し支点5のヒンジ4からの距離で、y0は張出し支点5の高さである。このようにして算出された集中荷重Fにより、直線部材2の先端部をライズfと一致させることができる。 In FIG. 5, assuming that the bending of the tip due to the bending action due to its own weight w in the overhanging simple beam structure is δw (see the solid line in FIG. 5), and the bending of the tip due to the concentrated load F of the loading on the tip is δf (one-dot chain line in FIG. 5). (See), the concentrated load F is calculated as a load such that δf = δ0-δw. Here, δ0 is determined from the overhang angle θ0 of the linear member 2 from δ0 = Ssin θ0−f. θ0 is tan θ0 = y0 / x0, x0 is the distance of the overhanging fulcrum 5 from the hinge 4, and y0 is the height of the overhanging fulcrum 5. With the concentrated load F calculated in this way, the tip end portion of the linear member 2 can be made to coincide with the rise f.
ここで、張出し先端部の固定の程度により構築される形状が変わることに注意が必要である。固定が緩い場合には円錐状になりドーム状にはならない。ドーム状にするには固定部を水平状にして固定部の撓み角を零にする必要がある。 Here, it should be noted that the shape to be constructed changes depending on the degree of fixation of the overhanging tip portion. If it is loosely fixed, it will be conical and not dome-shaped. To make it dome-shaped, it is necessary to make the fixed part horizontal and make the deflection angle of the fixed part zero.
張出し先端部を固定装置6により水平状にする方法を図6に示す。上下2枚の固定円板6aで張出し先端部を挟み、ボルト6bとナット6cで締め付ける。規模の大きいドームの場合にはジャッキを使用して確実に締め付け固定部を水平状にする。 FIG. 6 shows a method of leveling the overhanging tip portion by the fixing device 6. The overhanging tip is sandwiched between two upper and lower fixed disks 6a, and tightened with bolts 6b and nuts 6c. In the case of a large dome, use a jack to make sure that the fixing part is horizontal.
ドームの規模が大きくなると基礎工1に設けたヒンジ4には大きな全水平力ΣHが作用する。ドーム状部材網構築後の利用の仕方によっては更に大きな水平力が作用する場合もあり、大きな水平力と鉛直反力を支持できるヒンジとアバットが必要になる。このような場合には基礎工1の外周に環状アバットメント7が選定される。図7はPC構造の環状アバットメント7の平面図(a)と断面図(b)で、PCケーブル7aが配置されている。図8はヒンジ4で直線部材2の一体後にはヒンジ4はコンクリートで後埋めされる(図8の着色部参照) As the scale of the dome increases, a large total horizontal force ΣH acts on the hinge 4 provided in the foundation work 1. Depending on how it is used after the dome-shaped member net is constructed, a larger horizontal force may act, and a hinge and abutment that can support the large horizontal force and vertical reaction force are required. In such a case, the annular abutment 7 is selected on the outer circumference of the foundation work 1. FIG. 7 is a plan view (a) and a cross-sectional view (b) of the annular abutment 7 having a PC structure, in which the PC cable 7a is arranged. FIG. 8 shows a hinge 4, and after the linear member 2 is integrated, the hinge 4 is post-filled with concrete (see the colored portion in FIG. 8).
張出し先端部の固定によりドーム状部材網が形成されると同時に両端のヒンジ4により直線部材2には全水平力ΣHが作用する。直線部材2をアーチ状に強制変形させる作用と直線部材2の自重による作用を合わせた合成作用について安全性が確保されるように直線部材2の強度と剛性、断面形状が選定されているため、直線部材2のスパン方向に対する座堀は発生しない。 A dome-shaped member net is formed by fixing the overhanging tip portion, and at the same time, a total horizontal force ΣH acts on the straight member 2 by the hinges 4 at both ends. Since the strength, rigidity, and cross-sectional shape of the straight member 2 are selected so as to ensure safety for the combined action of forcibly deforming the straight member 2 into an arch shape and the action due to the weight of the straight member 2. No counterbore occurs in the span direction of the straight member 2.
一方、スパンに対する直角方向即ち横方向の横座堀については、その防止対策として2つの方法が検討される。1つは、直線部材2の断面として通常、スパン方向を強軸にしてその反対方向を弱軸とする矩形断面が使用されるが、弱軸を拡幅して横座堀を防ぐ方法であり、断面は図9に示す十字型断面になる。 On the other hand, two methods are considered as preventive measures for the horizontal sitting moat in the direction perpendicular to the span, that is, in the lateral direction. One is usually a rectangular cross section having a strong axis in the span direction and a weak axis in the opposite direction as the cross section of the straight member 2, but this is a method of widening the weak axis to prevent horizontal counterbore. Has a cross-shaped cross section shown in FIG.
第2の方法は直線部材の横方向の変位を拘束する区間、即ち座堀長を短くして横座堀を防ぐ方法である。張出し支点5や中間補助支点9(図16(b)参照)はこの役割を果たすものであるが、これとは別に幅止め環状枠10を直線部材2の中間に複数設けて隣接する直線部材2相互の幅間を確保する方法がある(図10参照)。幅止め環状枠10はドームと同心円状の環状枠10aに下側が開口している幅止め枠10bを設け、直線部材2に被せることにより直線部材2の円周方向の変位を拘束するようになっている。拡幅するか幅止め環状枠10を使用するかあるいは併用するかは経済性や施工性を考慮して決定される。 The second method is a method of preventing the lateral counterbore by shortening the section that restrains the lateral displacement of the straight member, that is, the counterbore length. The overhanging fulcrum 5 and the intermediate auxiliary fulcrum 9 (see FIG. 16B) play this role, but apart from this, a plurality of width-stopping annular frames 10 are provided in the middle of the straight member 2 and adjacent straight members 2. There is a method of securing a mutual width (see FIG. 10). The width-stopping annular frame 10 is provided with a width-stopping frame 10b whose lower side is open on the annular frame 10a concentric with the dome, and by covering the straight member 2, the displacement of the straight member 2 in the circumferential direction is restrained. ing. Whether to widen the width, use the width-stopping annular frame 10, or use it together is determined in consideration of economic efficiency and workability.
「張出し先端部固定方式」は構築するドームの弧長S0の1/2の長さSの直線部材2を一体化することによりアーチを形成してドーム状部材網を構築するものであるが、小規模の場合には以下に示す2つの方法によってS0の長さの直線部材12を用いてアーチを形成しドーム状部材網を構築することができる。 The "overhanging tip fixing method" is to form an arch by integrating a straight member 2 having a length S of 1/2 of the arc length S0 of the dome to be constructed, and construct a dome-shaped member net. In the case of a small scale, an arch can be formed by using a straight member 12 having a length of S0 by the following two methods to construct a dome-shaped member net.
第1の方法を図11により説明する。図11(b)の断面図で示すように、S0長の直線部材12の一端を、構築するドームのスパンLの一端にあるヒンジ4に固定し、直線部材12の中間に設けた張出し支点5に立掛ける。張出し支点5の位置と高さを調整することにより、張出し支点5から張出した直線部材12の先端を基礎工1に着地させることができる。着地した直線部材12の先端に内向きの力Hrを加える縮径をして(図11(b)の矢印参照)、構築するドームのスパンの他端にあるヒンジ4に固定することにより最初のアーチが形成される(図11(b)の1点鎖線参照)。同様な工程により順次直線部材12によるアーチを形成してドーム状部材網が構築される。 The first method will be described with reference to FIG. As shown in the cross-sectional view of FIG. 11B, one end of the S0 length straight member 12 is fixed to the hinge 4 at one end of the span L of the dome to be constructed, and the overhanging fulcrum 5 provided in the middle of the straight member 12 is provided. Lean on. By adjusting the position and height of the overhanging fulcrum 5, the tip of the straight member 12 overhanging from the overhanging fulcrum 5 can be landed on the foundation work 1. The first is by reducing the diameter by applying an inward force Hr to the tip of the landed straight member 12 (see the arrow in FIG. 11B) and fixing it to the hinge 4 at the other end of the span of the dome to be constructed. An arch is formed (see the alternate long and short dash line in FIG. 11B). A dome-shaped member net is constructed by sequentially forming an arch by the straight member 12 by the same process.
図11(b)で説明した方法は、直線部材12による最初のアーチ形成後、他の直線部材12に対して順次、最初のアーチと同様な工程を繰り返してドーム状部材網を構築するものであるが、使用する全部の直線部材12の一端をヒンジ4に結合し、張出し支点5に立掛け、先端を着地させた状態から、順次縮径をして構築するドームのスパンの他端にあるヒンジ4に固定する方法によってドーム状部材網を構築することも可能である(図11(a)の平面図参照)。 In the method described with reference to FIG. 11B, after the first arch is formed by the straight member 12, the same process as that of the first arch is sequentially repeated for the other straight members 12 to construct the dome-shaped member network. However, it is located at the other end of the span of the dome constructed by connecting one end of all the straight members 12 to be used to the hinge 4, leaning against the overhanging fulcrum 5, and landing the tip, and then sequentially reducing the diameter. It is also possible to construct a dome-shaped member net by a method of fixing to the hinge 4 (see the plan view of FIG. 11A).
図12に示す第2の方法は、構築するドームの外周の対面に設けた2体のヒンジ4に、基礎工1に伏した状態でスパンより長いS0長の1本の直線部材12の両端を固定する。伏した状態のアーチが形成される(図12の実線参照)。このアーチの中央に引き寄せロープ13を繋ぎアーチの直角方向に引き寄せると基礎工1に対して鉛直なアーチが形成される(図12の1点鎖線)。 In the second method shown in FIG. 12, both ends of one straight member 12 having an S0 length longer than the span while lying down on the foundation work 1 are attached to two hinges 4 provided opposite to each other on the outer circumference of the dome to be constructed. Fix it. A prone arch is formed (see solid line in FIG. 12). When the pulling rope 13 is connected to the center of the arch and pulled in the direction perpendicular to the arch, an arch perpendicular to the foundation work 1 is formed (dashed line in FIG. 12).
次に形成されたアーチを囲む新たな直線部材12を伏した状態で、外周の対面に設けた2体のヒンジ4に固定する(図13の実線)。伏した状態で形成されたアーチの中央に繋いだ引き寄せロープ13を直角方向に引き寄せると、伏していたアーチは、先施工の鉛直なアーチ(図13の2重実線)の上を滑り頂点に達し新たな鉛直なアーチが形成される(図13の1点鎖線)。このアーチ形成の工程の繰り返しによって複数の直線部材12によるドーム状部材網が構築される。 Next, the new straight member 12 surrounding the formed arch is fixed to the two hinges 4 provided on the opposite sides of the outer circumference in a prone state (solid line in FIG. 13). When the pulling rope 13 connected to the center of the arch formed in the prone state is pulled in the right angle direction, the prone arch slides on the vertical arch (double solid line in FIG. 13) of the previous construction and reaches the apex. A new vertical arch is formed (one-point chain line in FIG. 13). By repeating this arch forming process, a dome-shaped member network consisting of a plurality of straight members 12 is constructed.
第2の方法においては、最初にS0長の全部の前記直線部材12をそれぞれのヒンジ4に結合して、構築するドームの外周を囲み、伏した状態のアーチを全部形成してから、伏したアーチを順次基礎工1に鉛直に立てることによりドーム状部材網を構築することも可能である。 In the second method, first, all the straight members 12 having a length of S0 are connected to the respective hinges 4, the outer circumference of the dome to be constructed is surrounded, and all the arches in the prone state are formed, and then prone. It is also possible to construct a dome-shaped member net by sequentially erecting arches vertically on the foundation work 1.
S0長の直線部材12による上記2つの方式はいずれも、ドームの頂点に直線部材12が重なるため多数の骨組み構造のドーム状部材網を構築するのは困難である。従ってこのS0長の直線部材12により構築できるドームは小規模のものに限定される。
In both of the above two methods using the S0 length straight member 12, it is difficult to construct a dome-shaped member net having a large number of skeleton structures because the straight member 12 overlaps the apex of the dome. Therefore, the dome that can be constructed by the straight member 12 having the S0 length is limited to a small scale one.
「張出し先端部固定方式」によると立地面が楕円の楕円形ドーム状部材網を構築することが容易になる。図14と図15により説明する。図14は平面図で最長スパンLaを長軸l4、最短スパンLbを短軸l5としている。図15は長軸14位置と短軸15位置の断面図である。 According to the "overhanging tip fixing method", it becomes easy to construct an elliptical dome-shaped member net having an elliptical location surface. This will be described with reference to FIGS. 14 and 15. FIG. 14 is a plan view in which the longest span La is the long axis l4 and the shortest span Lb is the short axis l5. FIG. 15 is a cross-sectional view of the major axis 14 position and the minor axis 15 position.
楕円形ドームの場合、位置によりスパンが変化するためスパンが形成する弧長S0も変化し、各直線部材2の長さS=S0/2は、スパンに対応して異なる長さとなる。 In the case of an elliptical dome, since the span changes depending on the position, the arc length S0 formed by the span also changes, and the length S = S0 / 2 of each linear member 2 becomes a different length corresponding to the span.
各直線部材2の外側端部をドームの外周のヒンジ4に結合する。ヒンジ4に結合した前記直線部材2の内側に張出し支点5を設け、前記直線部材2を張出し支点5に放射状に立掛ける。張出し支点5から張出し、中心に集合した前記直線部材2の内側端部の先端が、構築するドームのライズと同じ高さになるように、各張出し支点5の位置と高さとを調整する。同じ高さになった各直線部材2の先端部相互を水平状に強固に固定することにより楕円形ドーム状部材網が構築される。 The outer end of each straight member 2 is coupled to the hinge 4 on the outer circumference of the dome. An overhanging fulcrum 5 is provided inside the straight member 2 coupled to the hinge 4, and the straight member 2 is radially hung on the overhanging fulcrum 5. The position and height of each overhanging fulcrum 5 are adjusted so that the tip of the inner end portion of the straight member 2 that overhangs from the overhanging fulcrum 5 and gathers at the center has the same height as the rise of the dome to be constructed. An elliptical dome-shaped member net is constructed by firmly fixing the tips of the straight members 2 having the same height to each other horizontally.
通常、半円形ドームの場合、直線部材2の断面の高さはスパンに比例したものになる。楕円形ドームの場合、直線部材2が形成するスパンに対応した断面の高さにすると、高さの異なる直線部材2の先端部相互を水平状に強固に固定しなければならず一体化することが困難になる。このため、楕円形ドームの構築においては、短軸15をスパンとする半円形アーチの断面高に、スパンが異なるその他の直線部材2の断面高を合わせる。この結果、固定装置6により直線部材2が一体化されると同時に、短軸15をスパンとするアーチ以外は扁平型アーチになる。 Normally, in the case of a semicircular dome, the height of the cross section of the straight member 2 is proportional to the span. In the case of an elliptical dome, if the height of the cross section corresponds to the span formed by the straight member 2, the tips of the straight members 2 having different heights must be firmly fixed horizontally and integrated. Becomes difficult. Therefore, in the construction of the elliptical dome, the cross-sectional height of the other straight member 2 having a different span is matched with the cross-sectional height of the semicircular arch having the short axis 15 as the span. As a result, the straight member 2 is integrated by the fixing device 6, and at the same time, it becomes a flat arch except for the arch having the short axis 15 as a span.
扁平型アーチは半円形アーチより断面高を小さくすることが出来るため、楕円形ドームの短軸15をスパンとする半円形アーチの断面高に対して、長軸14をスパンとする扁平型アーチの断面高を短軸15のアーチの断面高と同一にすることが強度的に可能となる。このため、スパンは異なるが断面高の同じ直線部材2の先端部の一体化が行われ、楕円形ドーム状部材網が構築される。
Since the cross-sectional height of the flat arch can be smaller than that of the semi-circular arch, the cross-sectional height of the semi-circular arch having the minor axis 15 of the elliptical dome as the span is equal to the cross-sectional height of the flat arch having the major axis 14 as the span. It is possible in terms of strength that the cross-sectional height is the same as the cross-sectional height of the arch of the minor axis 15. Therefore, the tip portions of the straight members 2 having different spans but the same cross-sectional height are integrated, and an elliptical dome-shaped member net is constructed.
ドームの規模が大きくなると、図16(a)で示すように、ヒンジ4と張出し支点5のスパンlが張出し長aに比して大きくなり、その結果スパン中央部の撓みが大きくなる。大きな撓みは、張出し先端部を固定することによって張出し単純梁構造からアーチ構造に構造変換する際の障害になる(図16(a)参照)。これを避けるためヒンジ4と張出し支点5の間に中間補助支点9を設けることによって撓みを小さくする方法がとられる(図16(b)参照)。尚、この中間補助支点9は、張出し支点5と同様な構造(図7(c)参照)であり、直線部材2の横方向の変位を拘束し横座堀を防ぐ役割を果たしている。
As the scale of the dome increases, as shown in FIG. 16A, the span l of the hinge 4 and the overhanging fulcrum 5 becomes larger than the overhanging length a, and as a result, the bending of the central portion of the span increases. The large deflection becomes an obstacle in structural conversion from the overhanging simple beam structure to the arch structure by fixing the overhanging tip (see FIG. 16A). In order to avoid this, a method of reducing the deflection is adopted by providing an intermediate auxiliary fulcrum 9 between the hinge 4 and the overhanging fulcrum 5 (see FIG. 16B). The intermediate auxiliary fulcrum 9 has the same structure as the overhanging fulcrum 5 (see FIG. 7C), and plays a role of restraining the lateral displacement of the straight member 2 and preventing the lateral sitting moat.
図17乃至図20を用いて「張出し先端部固定方式」によって中規模な円形ドーム状部材網を構築する方法について説明する。図17はドーム状部材網完成時の直線部材2のアーチ形状図で、図18乃至図20はスパンL、ライズfのドーム状部材網の完成時の説明図で、図18は平面図で、図19は張出し支点5と中間補助支点9の撤去直前の断面図で、図20は斜視図である。 A method of constructing a medium-scale circular dome-shaped member net by the "overhanging tip fixing method" will be described with reference to FIGS. 17 to 20. FIG. 17 is an arch shape view of the straight member 2 when the dome-shaped member net is completed, FIGS. 18 to 20 are explanatory views when the dome-shaped member net of span L and rise f is completed, and FIG. 18 is a plan view. FIG. 19 is a cross-sectional view immediately before the removal of the overhanging fulcrum 5 and the intermediate auxiliary fulcrum 9, and FIG. 20 is a perspective view.
直線部材2の長さSはスパンL、ライズfのアーチの弧長S0の1/2である。
直線部材2を連結し完全に一体化すると長さがS0になり、スパンLより長いS0が両ヒンジ4の間に押し込まれることによりアーチが形成されドーム状部材網が構築される。
The length S of the straight member 2 is 1/2 of the arc length S0 of the arch of the span L and the rise f.
When the straight members 2 are connected and completely integrated, the length becomes S0, and S0 longer than the span L is pushed between the hinges 4 to form an arch and a dome-shaped member net is constructed.
スパンLのヒンジ4の間に挟まれ一体化した直線部材2のアーチの両端部には、アーチ状に強制変形させた水平強制力Hrと自重による水平反力Hg及び鉛直反力Vgが発生する。これらの作用に対して安全を確保できる直線部材2の材料強度と剛性、強軸の断面が算出される。横方向の横座堀に対する安全度を確保するために弱軸の断面の拡幅がなされ、十字型断面が採用されている(図9参照)。この直線部材2の現場への搬入から完成までの施工過程において、この部材の強度を超える状態にならないように施工方法が選択される。以下完成までの工程について説明する。 A horizontal forcing force Hr that is forcibly deformed into an arch shape, a horizontal reaction force Hg due to its own weight, and a vertical reaction force Vg are generated at both ends of the arch of the linear member 2 that is sandwiched and integrated between the hinges 4 of the span L. .. The material strength and rigidity of the straight member 2 that can ensure safety against these actions, and the cross section of the strong shaft are calculated. In order to ensure the safety of the horizontal seat moat in the lateral direction, the cross section of the weak axis is widened and a cross-shaped cross section is adopted (see FIG. 9). In the construction process from the delivery of the straight member 2 to the site to the completion, the construction method is selected so as not to exceed the strength of the member. The process up to completion will be described below.
ドーム外周には、直線部材2の端部に作用する全水平力ΣHと鉛直反力Vgを支持できるアバットメントが必要で、各直線部材2に設ける独立型又は直線部材2をまとめて支持する環状型のアバットメントが検討される。又、アバットメントの構造としては鉄筋コンクリート構造(RC構造)又はプレストレストコンクリート構造(PC構造)が検討される。ここではPCケーブル7aによるPC構造の環状アバットメント7が採用され、コンクリート中にヒンジ4が固定される(図8及び図18、図19参照)。ヒンジ4には直線部材2が一体化されると下向きの鉛直反力Vgと水平方向の力ΣH=Hr+Hgが作用するが、直線部材2が一体化されるまでには上向きの力が作用することもある。このため上下左右の力に耐えられる強度のヒンジ構造が必要となる(図8参照)。 An abutment capable of supporting the total horizontal force ΣH acting on the end of the straight member 2 and the vertical reaction force Vg is required on the outer circumference of the dome, and an independent type or an annular member 2 provided on each straight member 2 is collectively supported. A type of abutment is considered. Further, as the abutment structure, a reinforced concrete structure (RC structure) or a prestressed concrete structure (PC structure) is considered. Here, an annular abutment 7 having a PC structure with a PC cable 7a is adopted, and a hinge 4 is fixed in concrete (see FIGS. 8 and 18 and 19). When the straight member 2 is integrated, a downward vertical reaction force Vg and a horizontal force ΣH = Hr + Hg act on the hinge 4, but an upward force acts by the time the straight member 2 is integrated. There is also. Therefore, a hinge structure having a strength that can withstand vertical and horizontal forces is required (see FIG. 8).
環状アバットメント7の施工と同時に中央部のコンクリート造の荷重受け台11が施工され(図18、図19参照)、チェーンブロック用の留め金具6dが埋設される。コンクリート工事終了後ドーム内の基礎工1が施工される。基礎工1はドームの利用方法によってアスファルト舗装やコンクリート床板等が選択される。 At the same time as the construction of the annular abutment 7, the concrete load receiving base 11 at the center is constructed (see FIGS. 18 and 19), and the fastener 6d for the chain block is embedded. After the concrete work is completed, the foundation work 1 in the dome is constructed. Asphalt pavement, concrete floorboards, etc. are selected for the foundation work 1 depending on how the dome is used.
基礎工1の施工が終わると直線部材2の張出し先端部がドームのライズfと同じ高さになるように選定された位置に張出し支点5が設けられる。台座5cの上に台支柱5bが立てられその上に環状支持体5aが固定されて張出し支点5が構築される。環状支持体5aには直線部材2がズレないようにズレ止め枠5dが固定されている(図7c参照)。張出し支点5と同様な方法によって中間補助支点9がヒンジ4と張出し支点5の中間に設けられる。このような作業によって直線部材2の現場搬入の準備が終わる。 When the construction of the foundation work 1 is completed, the overhanging fulcrum 5 is provided at a position selected so that the overhanging tip of the straight member 2 is at the same height as the rise f of the dome. A pedestal support 5b is erected on the pedestal 5c, and an annular support 5a is fixed on the pedestal support 5b to construct an overhanging fulcrum 5. A misalignment prevention frame 5d is fixed to the annular support 5a so that the linear member 2 does not misalign (see FIG. 7c). An intermediate auxiliary fulcrum 9 is provided between the hinge 4 and the overhang fulcrum 5 by the same method as the overhang fulcrum 5. By such work, the preparation for bringing the straight member 2 to the site is completed.
直線部材2が現場に搬入され、環状アバットメント7に下端を置いた直線部材2が張出し支点5に立掛けられる。立掛けられた直線部材2を順次その外側端部をヒンジ4に結合し張出し支点5のズレ止め枠5d内に納める。張出し支点5から張出した先端は、自重によりほぼライズの高さfまで撓むように張出し支点5の位置、高さが選定されているが、施工誤差等によりバラツキが生ずる。このため各直線部材2の先端部の高さを測定し、ライズfの高さになるように下向き又は上向きの力Fを加えて微調整する。上向きの場合には荷重受け台11にジャッキを設置しジャッキアップし、下向きの場合には荷重受け台11の留め金具6dにチェーンを繋ぎチェーンブロック等を用いて引き下げる。こうして先端部の高さが揃えられ固定作業による直線部材の一体化の準備が終わる。 The straight member 2 is carried to the site, and the straight member 2 having the lower end placed on the annular abutment 7 is hung on the overhanging fulcrum 5. The linear members 2 that are leaned against each other are sequentially connected to the hinge 4 at the outer end thereof and housed in the displacement prevention frame 5d of the overhanging fulcrum 5. The position and height of the overhanging fulcrum 5 are selected so that the tip overhanging from the overhanging fulcrum 5 bends to the height f of the rise due to its own weight, but variations occur due to construction errors and the like. Therefore, the height of the tip of each straight member 2 is measured, and a downward or upward force F is applied so as to be the height of the rise f to make fine adjustments. When facing upward, a jack is installed on the load receiving base 11 to jack up, and when facing downward, a chain is connected to the fastener 6d of the load receiving base 11 and pulled down using a chain block or the like. In this way, the heights of the tip portions are aligned, and the preparation for integrating the straight members by the fixing work is completed.
固定装置6の固定円板6aで、直線部材2の先端部を上下から挟んでボルト6bとナット6cを用いジャッキ等による強い力で締め付けることによって、長さSの2本の直線部材2が一体化される(図6参照)。この一体化作業と並行して、中間補助支点9を上昇させて直線部材2を持上げる作業により一体化がより容易になる。固定装置6等による一体化作業中も直線部材2の先端に作用させている下向き又は上向きの力Fはそのまま維持される。 The two straight members 2 of length S are integrated by sandwiching the tip of the straight member 2 from above and below with the fixed disk 6a of the fixing device 6 and tightening with a strong force such as a jack using bolts 6b and nuts 6c. (See FIG. 6). In parallel with this integration work, the work of raising the intermediate auxiliary fulcrum 9 to lift the straight member 2 facilitates the integration. The downward or upward force F acting on the tip of the straight member 2 is maintained as it is even during the integration work by the fixing device 6 or the like.
固定装置6等による直線部材2の一体化によって、直線部材2は張出し単純梁構造からアーチ構造に構造変換される。直線部材2がアーチ構造になったことにより、直線部材2の端部には直線部材2をアーチに強制変形させるための強制力Hrと自重による水平反力Hgを合わせた全水平力ΣH=Hr+Hgが作用する。この全水平力ΣHに対して直線部材2の半径方向の安全性が確保されるように直線部材2の強軸の断面が選定されている。 By integrating the straight member 2 with the fixing device 6 or the like, the straight member 2 is structurally transformed from an overhanging simple beam structure to an arch structure. Since the straight member 2 has an arch structure, the total horizontal force ΣH = Hr + Hg, which is the sum of the forced force Hr for forcibly deforming the straight member 2 into an arch and the horizontal reaction force Hg due to its own weight, at the end of the straight member 2. Works. The cross section of the strong axis of the straight member 2 is selected so as to ensure the safety of the straight member 2 in the radial direction with respect to the total horizontal force ΣH.
一方、半径方向と反対の横方向(周方向)については、ヒンジ4と張出し支点5、中間補助支点9、固定装置6によって横方向の変位が拘束され、これらの拘束間隔である座堀長に対して、横方向座堀が生じないように直線部材2の弱軸が拡幅され十字型断面が選択されている。 On the other hand, in the lateral direction (circumferential direction) opposite to the radial direction, the lateral displacement is constrained by the hinge 4, the overhanging fulcrum 5, the intermediate auxiliary fulcrum 9, and the fixing device 6, and the counterbore length, which is the restraint interval, is used. On the other hand, the weak axis of the straight member 2 is widened so that the lateral counterbore does not occur, and a cross section is selected.
固定装置6による一体化作業が終わると張出し支点5と中間補助支点9は撤去される。これらが撤去されると横方向の座堀長が大きくなり横座堀が生じるため、これらが撤去される前に、隣接する直線部材2の間隔を固定するための幅止め筋8が設置される(図20参照)。幅止め筋8の設置後、張出し支点5と中間補助支点9が撤去され、直線部材2の内側端部の集中荷重Fも除去される。尚、横座堀を防ぐための幅止め筋8の設置と同時に、ドームの捩じれ変形を防ぐために筋がい8aが直線部材2の間に設けられる(図20参照)。 When the integration work by the fixing device 6 is completed, the overhanging fulcrum 5 and the intermediate auxiliary fulcrum 9 are removed. When these are removed, the length of the counterbore in the lateral direction becomes large and a horizontal counterbore is formed. Therefore, before these are removed, a width retaining bar 8 for fixing the distance between the adjacent straight members 2 is installed ( (See FIG. 20). After the width stop bar 8 is installed, the overhanging fulcrum 5 and the intermediate auxiliary fulcrum 9 are removed, and the concentrated load F at the inner end of the straight member 2 is also removed. At the same time as the width retaining bar 8 for preventing the horizontal seat moat is installed, the streak 8a is provided between the straight members 2 to prevent the dome from being twisted and deformed (see FIG. 20).
以上のような過程を経てドーム状部材網が構築される。この工程は極めてシンプルで施工に必要な面積も少なく、特に小規模、中規模のドームの構築方法として優位性が発揮される。 A dome-shaped member net is constructed through the above process. This process is extremely simple and requires a small area for construction, and is particularly advantageous as a method for constructing small and medium-sized domes.
1 :基礎工
2 :長さSの直線部材(S=S0/2)
2a:張出し基準線
3 :包囲ワイヤ
3a:固定環状枠
4 :ヒンジ
5 :張出し支点
5a:張出し支点の環状支持体
5b:張出し支点の台支柱
5c:張出し支点の台座
5d:環状支持体のズレ止め枠
6 :固定装置
6a:固定装置の円形固定板
6b:円形固定板のボルト
6c:円形固定板のナット
6d:チェーン用留め金具
7 :環状アバットメント
7a:環状アバットメントのPCケーブル
8 :幅止め筋
8a:筋がい
9 :中間補助支点
10:幅止め環状枠
10a:幅止め環状枠の本体
10b:幅止め環状枠の幅止め枠
11:荷重受け台
12:長さS0の直線部材
13:引寄せロープ
14:楕円の長軸
15:楕円の短軸
L :ドームのスパン
f :ドームのライズ
ΣH:ドームに作用する全水平力
Hr:強制変形に必要な強制力
Hg:自重による水平反力
Vg :自重による鉛直反力
l :張出し単純梁のスパン
a :張出し単純梁の張出し長
w :自重による等分布荷重
F :張出し内側端部に載荷される集中荷重
θ0:直線部材の張出し角度
S0:ドームの弧長
S :直線部材の長さ(=S0/2)
δ0:張出し基準線とライズの高低差
δw:自重による撓み
δf:張出し先端部載荷の集中荷重による撓み
X0:張出し支点のヒンジからの距離
Y0:張出し支点の高さ
Λ0:円形固定板の直径
Λ1:張出し支点環状枠の直径
Λ2:中間補助支点環状枠の直径
h :直線部材の高さ
t :直線部材の幅
d :直線部材の弱軸の拡幅長
La:楕円形ドームの長軸スパン
Lb:楕円形ドームの短軸スパン
R :アーチの半径
θ :アーチの半角
A :アーチの全角
1: Foundation work 2: Straight member of length S (S = S0 / 2)
2a: Overhang reference line 3: Surrounding wire 3a: Fixed annular frame 4: Hinge 5: Overhang fulcrum 5a: Outhang fulcrum annular support 5b: Overhang fulcrum pedestal 5c: Overhang fulcrum pedestal 5d: Ring support Frame 6: Fixing device 6a: Circular fixing plate 6b of fixing device: Bolt 6c of circular fixing plate: Nut 6d of circular fixing plate: Fastener for chain 7: Ring abutment 7a: PC cable of ring abutment 8: Width stop Reinforcement 8a: Reinforcement 9: Intermediate auxiliary fulcrum 10: Width retaining annular frame 10a: Width retaining annular frame body 10b: Width retaining annular frame width retaining frame 11: Load cradle 12: Straight member of length S0 13: Pull Lifting rope 14: Elliptical major axis 15: Elliptical minor axis L: Dome span f: Dome rise ΣH: Total horizontal force acting on the dome Hr: Forced force required for forced deformation Hg: Horizontal reaction force Vg due to own weight : Vertical reaction force due to own weight l: Span of overhanging simple beam a: Overhanging length of overhanging simple beam w: Equally distributed load due to own weight F: Concentrated load loaded on the inner end of overhang θ0: Overhang angle of straight member S0: Dome Arc length S: Length of straight member (= S0 / 2)
δ0: Height difference between overhang reference line and rise δw: Deflection due to own weight δf: Deflection due to concentrated load at overhang tip X0: Distance from overhang fulcrum hinge Y0: Overhang fulcrum height Λ0: Circular fixing plate diameter Λ1 : Diameter of the overhanging fulcrum annular frame Λ2: Diameter of the intermediate auxiliary fulcrum annular frame h: Height of the straight member t: Width of the straight member d: Widening length of the weak axis of the straight member La: Long axis span Lb of the elliptical dome: Short axis span of elliptical dome R: Radius of arch θ: Half angle of arch A: Full angle of arch
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