JP2022156474A - Reinforcing structure for cylindrical structure and reinforced cylindrical structure having the same - Google Patents

Reinforcing structure for cylindrical structure and reinforced cylindrical structure having the same Download PDF

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JP2022156474A
JP2022156474A JP2021060191A JP2021060191A JP2022156474A JP 2022156474 A JP2022156474 A JP 2022156474A JP 2021060191 A JP2021060191 A JP 2021060191A JP 2021060191 A JP2021060191 A JP 2021060191A JP 2022156474 A JP2022156474 A JP 2022156474A
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cylindrical structure
reinforcing
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strength
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JP7367724B2 (en
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隼平 安永
Jumpei Yasunaga
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JFE Steel Corp
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Abstract

To provide reinforcing structure of a cylindrical structure capable of extremely rationally reinforcing a hollow cylindrical structure with a lower end part fixed and an upper end part opened against wind force acting on the cylindrical structure, and a reinforced cylindrical structure provided with the same.SOLUTION: In reinforcing structure of a cylindrical structure for reinforcing a hollow cylindrical structure with a lower end part fixed and an upper end part opened against wind force acting on the cylindrical structure, a reinforcing member for applying horizontal force Fn toward the outside in the radial direction of the cylindrical structure is attached to at least one place of the upper end part; the horizontal force Fn applied by the reinforcing member is set to satisfy the relation of Fn≥√ 3*HR(W-pcr) concerning a buckling resistance pcr of the cylindrical structure and a design wind force W. Where H is the height of the cylindrical structure, and R is the radius of the cylindrical structure.SELECTED DRAWING: Figure 1

Description

本発明は、下端部が固定されるとともに上端部が開放された中空の円筒形構造物を、該円筒形構造物に作用する風力に対して補強する円筒形構造物の補強構造およびこれを備える補強円筒形構造物に関する。 The present invention provides a reinforcing structure for a cylindrical structure that reinforces a hollow cylindrical structure having a fixed lower end and an open upper end against wind force acting on the cylindrical structure, and the same. It relates to reinforced cylindrical structures.

従来、浮屋根式円筒石油タンクやドーム型平底円筒タンク等の円筒形構造物を構築する場合、円筒形構造物の壁面を下から順々に円筒状に立ち上げて、溶接や検査等の工事を進めていく。構築途中の円筒形構造物は、その上端部に屋根等がまだ設置されていない状態にあり、円筒形構造物の壁面の面外方向への剛性が低いため、強風時に円筒形構造物が壁面に垂直な風圧を受けると、円筒形構造物の壁面が座屈して、倒壊に至る恐れがある。 Conventionally, when constructing a cylindrical structure such as a floating roof type cylindrical oil tank or a dome type flat bottom cylindrical tank, the walls of the cylindrical structure are raised in order from the bottom in order, and construction such as welding and inspection is performed. proceed. A cylindrical structure that is in the process of being constructed does not yet have a roof on its upper end, and the rigidity of the cylindrical structure wall in the out-of-plane direction is low. The walls of cylindrical structures may buckle and collapse when subjected to wind pressure perpendicular to the vertical direction.

また、港湾の岸壁等に適用される根入れ鋼板セル工法でも、鋼板で構成された円筒殻である鋼板セルが用いられる。鋼板セルは、建設現場とは異なる場所で予め製作され、建設工程に合わせて順次建設現場に搬送される。搬送された鋼板セルは、建設現場に一定期間仮置きされることとなり、このとき鋼板セルは下端部のみ固定され、上端部が開放された円筒形構造物となる。そして、仮置きされた鋼板セルが強風時に壁面に垂直な風圧を受けると、鋼板セルの壁面が座屈して、倒壊に至る恐れがある。 In addition, steel plate cells, which are cylindrical shells made of steel plates, are also used in embedded steel plate cell construction methods applied to quay walls of harbors and the like. The steel plate cells are manufactured in advance at a location different from the construction site, and are sequentially transported to the construction site according to the construction process. The conveyed steel plate cell is temporarily placed at the construction site for a certain period of time. At this time, the steel plate cell becomes a cylindrical structure with only the lower end fixed and the upper end opened. When the temporarily placed steel plate cell receives wind pressure perpendicular to the wall surface during strong winds, the wall surface of the steel plate cell may buckle and collapse.

上端部が開放された中空の円筒形構造物に風力が作用して発生する座屈現象について、時刻歴応答解析を行って得られた結果の例を、図5(a)~図5(c)に示す。このような円筒形構造物では、壁面の面外剛性が低いため、図5(b)に示すように、円筒形構造物の下端部に瞬間的に局部座屈が生じた後、図5(c)に示すように、円筒形構造物の壁面の風上部分が全体的に倒れ込むような変形モードとなっている。 Figures 5(a) to 5(c) show examples of the results obtained by time history response analysis of the buckling phenomenon that occurs when wind force acts on a hollow cylindrical structure with an open upper end. ). In such a cylindrical structure, since the out-of-plane rigidity of the wall surface is low, as shown in FIG. As shown in c), the deformation mode is such that the windward portion of the wall surface of the cylindrical structure collapses as a whole.

このような座屈現象を防ぐため、上端部が開放された円筒形構造物には、強風対策用の補強を施す必要がある。 In order to prevent such a buckling phenomenon, a cylindrical structure with an open top needs to be reinforced against strong winds.

従来の円筒形構造物の補強構造では、例えば図6(a)の縦断面図および図6(b)の平面図に示すように、円筒形構造物5の上端部5Uと、反力確保用の治具や防液堤等のアンカー82との間に、平面視放射状に複数本のワイヤ81を張り、強風時の円筒形構造物の壁面に作用する面荷重に耐える円筒形構造物の補強構造8としている。各ワイヤ81は、その一端が円筒形構造物5の上端部5Uに連結され、他端が前記アンカー82に固定されて、円筒形構造物5の上端部5Uとアンカー82との間に張架される。円筒形構造物5の内部には、円筒形構造物5を構築するための足場が設置されることが多いため、ワイヤ81は円筒形構造物5の内側でなく外側に張られることが一般的である。 In a conventional reinforcement structure for a cylindrical structure, for example, as shown in the longitudinal sectional view of FIG. 6(a) and the plan view of FIG. A plurality of wires 81 are stretched radially in plan view between jigs and anchors 82 such as dikes to reinforce the cylindrical structure to withstand the surface load acting on the wall surface of the cylindrical structure during strong winds. Structure 8. Each wire 81 has one end connected to the upper end 5U of the cylindrical structure 5 and the other end fixed to the anchor 82, and stretched between the upper end 5U of the cylindrical structure 5 and the anchor 82. be done. Scaffolding for constructing the cylindrical structure 5 is often installed inside the cylindrical structure 5, so the wires 81 are generally stretched outside the cylindrical structure 5 instead of inside. is.

また、従来の円筒形構造物の補強構造の他の例として、特許文献1には、図7(a)の縦断面図および図7(b)の平面図に示すように、円筒形構造物5の構築途中の上端部の内周面上に仮設足場91をリング状に設置して強め輪として機能させ、円筒形構造物5の構築済みの外壁面上に外周歩廊兼テンションリング92を暫定的に組付ける円筒形構造物の補強構造9が開示されている。 As another example of a conventional reinforcement structure for a cylindrical structure, Patent Document 1 discloses a cylindrical structure as shown in the longitudinal sectional view of FIG. 7(a) and the plan view of FIG. 7(b). A temporary scaffolding 91 is installed in a ring shape on the inner peripheral surface of the upper end part of the cylindrical structure 5 during construction to function as a reinforcing ring, and an outer corridor and tension ring 92 is temporarily installed on the outer wall surface of the cylindrical structure 5 that has been constructed. A stiffening structure 9 for a cylindrical structure is disclosed for assembly.

また、従来の円筒形構造物の補強構造のさらに他の例として、特許文献2には、円筒形構造物の側板の全周にわたらない範囲で、かつ、卓越風に面する範囲のみにワイヤを張ることが開示されている。 Further, as still another example of a conventional reinforcement structure for a cylindrical structure, Patent Document 2 discloses that a wire is attached only to a range that does not cover the entire circumference of the side plate of a cylindrical structure and faces prevailing winds. is disclosed.

特開2000-120276号公報JP-A-2000-120276 特開2018-76112号公報JP 2018-76112 A

しかし、上記の従来の円筒形構造物の補強構造のいずれにおいても、強風時の風力の発生メカニズムについては全く考慮されておらず、円筒形構造物に作用する風力に対して、ワイヤ、強め輪、テンションリング等の補強部材にどの程度の耐力を持たせる必要があるかについても、明確でない。つまり、従来の円筒形構造物の補強構造では、円筒形構造物に取り付けられる補強部材の耐力(強度、サイズ、数)をどのように設定すべきかについて、詳細な検討がなされていないため、補強部材の耐力が、過大な安全率を乗じて設計されることとなり、建設費用を上昇させ、建設作業の効率性を低下させている。 However, none of the above-mentioned conventional reinforcement structures for cylindrical structures take into consideration the wind force generation mechanism during strong winds. Also, it is not clear how much strength should be given to reinforcing members such as tension rings. In other words, in the conventional reinforcement structure for cylindrical structures, detailed studies have not been conducted on how to set the yield strength (strength, size, number) of the reinforcing members attached to the cylindrical structure. The yield strength of members is designed with an excessive safety factor, which increases construction costs and reduces the efficiency of construction work.

上記課題に鑑み、本発明は、下端部が固定されるとともに上端部が開放された中空の円筒形構造物を、該円筒形構造物に作用する風力に対して、極めて合理的に補強することのできる円筒形構造物の補強構造およびこれを備える補強円筒形構造物を提供することを目的とする。 In view of the above problems, the present invention provides a hollow cylindrical structure having a fixed lower end and an open upper end, which is very rationally reinforced against the wind force acting on the cylindrical structure. It is an object of the present invention to provide a reinforcing structure for a cylindrical structure that is capable of

上記課題を解決するため、本発明の円筒形構造物の補強構造およびこれを備える補強円筒形構造物は、以下の特徴を有する。 In order to solve the above problems, a reinforcing structure for a cylindrical structure and a reinforcing cylindrical structure including the same according to the present invention have the following features.

[1] 下端部が固定されるとともに上端部が開放された中空の円筒形構造物を、該円筒形構造物に作用する風力に対して補強する円筒形構造物の補強構造であって、前記上端部の少なくとも1か所に、前記円筒形構造物の径方向外側に向けて水平力を付与する補強部材が取り付けられ、前記補強部材の水平耐力Fが、前記円筒形構造物の座屈耐力pcrおよび設計風力Wに対し、下記(1)式の関係を満たすことを特徴とする円筒形構造物の補強構造。 [1] A reinforcing structure for a cylindrical structure that reinforces a hollow cylindrical structure having a fixed lower end and an open upper end against wind force acting on the cylindrical structure, A reinforcing member is attached to at least one part of the upper end to apply a horizontal force toward the radially outer side of the cylindrical structure, and the horizontal strength Fn of the reinforcing member is applied to the buckling of the cylindrical structure. A reinforcing structure for a cylindrical structure characterized by satisfying the relationship of the following formula (1) with respect to proof stress pcr and design wind power W.

≧√3・HR(W-pcr) (1)
ただし、Hは前記円筒形構造物の高さ、Rは前記円筒形構造物の半径である。
F n ≧√3·HR(W−p cr ) (1)
where H is the height of the cylindrical structure and R is the radius of the cylindrical structure.

[2] 前記座屈耐力pcrは、下記(2)式により算出されることを特徴とする[1]に記載の円筒形構造物の補強構造。 [2] The reinforcing structure for a cylindrical structure according to [1], wherein the buckling strength p cr is calculated by the following equation (2).

cr=0.82α(H/D)-1(R/t)-2.5 (2)
ただし、
α=πE/{24(1-ν0.75} (3)
とし、Dは前記円筒形構造物の直径、tは前記円筒形構造物の肉厚、Eは前記円筒形構造物のヤング係数、νは前記円筒形構造物のポアソン比である。
p cr =0.82α(H/D) −1 (R/t) −2.5 (2)
however,
α=π 2 E/{24(1−ν 2 ) 0.75 } (3)
where D is the diameter of the cylindrical structure, t is the thickness of the cylindrical structure, E is the Young's modulus of the cylindrical structure, and ν is the Poisson's ratio of the cylindrical structure.

[3] 前記設計風力Wは、下記(4)式により算出されることを特徴とする[1]または[2]に記載の円筒形構造物の補強構造。 [3] The reinforcing structure for a cylindrical structure according to [1] or [2], wherein the design wind power W is calculated by the following formula (4).

W=Cf0×G×(1/2)ρV (4)
ただし、Cf0はよどみ点における風力係数、Gはガスト影響係数、ρは空気密度、Vは設計風速である。
W=C f0 ×G f ×(1/2)ρV 2 (4)
where C f0 is the wind force coefficient at the stagnation point, G f is the gust influence coefficient, ρ is the air density, and V is the design wind speed.

[4] 前記補強部材は、前記上端部の周方向の6か所に取り付けられていることを特徴とする[1]~[3]のいずれかに記載の円筒形構造物の補強構造。 [4] The reinforcing structure for a cylindrical structure according to any one of [1] to [3], wherein the reinforcing members are attached to the upper end portion at six points in the circumferential direction.

[5] 前記補強部材は、前記円筒形構造物の中心軸に対し、前記上端部の周方向に55°以上65°以下の間隔で配置されていることを特徴とする[4]に記載の円筒形構造物の補強構造。 [5] The reinforcing member according to [4], wherein the reinforcing member is arranged at an interval of 55° or more and 65° or less in the circumferential direction of the upper end portion with respect to the central axis of the cylindrical structure. Reinforcement structure for cylindrical structures.

[6] 下端部が固定されるとともに上端部が開放された中空の円筒形構造物を、該円筒形構造物に作用する風力に対して補強する円筒形構造物と、前記円筒形構造物を補強する、[1]~[5]のいずれかに記載の円筒形構造物の補強構造とを備えることを特徴とする補強円筒形構造物。 [6] A cylindrical structure that reinforces a hollow cylindrical structure with a fixed lower end and an open upper end against wind forces acting on the cylindrical structure; A reinforced cylindrical structure characterized by comprising a reinforcing structure for a cylindrical structure according to any one of [1] to [5], which is reinforced.

本発明の円筒形構造物の補強構造およびこれを備える補強円筒形構造物によれば、円筒形構造物の径方向外側に向けて水平力を付与する補強部材の水平耐力Fが、円筒形構造物の座屈耐力pcrおよび設計風力Wに対し、(1)式の関係を満たすように設定されていることにより、補強部材の水平耐力が効率的に発揮され、極めて合理的な補強構造となる。よって、補強部材の耐力(強度、サイズ、数)を、合理的な安全率で設計することが可能となり、建設費用を抑え、建設作業の効率性を向上できる。 According to the reinforcing structure for a cylindrical structure of the present invention and the reinforcing cylindrical structure provided with the same, the horizontal strength Fn of the reinforcing member that applies a horizontal force toward the radially outer side of the cylindrical structure is equal to that of the cylindrical structure. The horizontal strength of the reinforcing members is efficiently exerted by setting the buckling strength pcr of the structure and the design wind force W so as to satisfy the relationship of formula (1), making the reinforcement structure extremely rational. becomes. Therefore, it becomes possible to design the yield strength (strength, size, number) of the reinforcing members with a reasonable safety factor, thereby suppressing the construction cost and improving the efficiency of the construction work.

本発明に係る円筒形構造物の補強構造およびこれを備える補強円筒形構造物の一例を示す図であり、(a)は立面図、(b)は平面図である。BRIEF DESCRIPTION OF THE DRAWINGS It is a figure which shows an example of the reinforcement structure of the cylindrical structure which concerns on this invention, and a reinforcement cylindrical structure provided with the same, (a) is an elevation view, (b) is a top view. 補強部材の水平耐力Fの算出にあたり考慮する面荷重pの範囲と、これに基づいて算出される水平耐力Fとの関係を示すグラフである。4 is a graph showing the relationship between the range of surface load pn considered in calculating the horizontal strength Fn of a reinforcing member and the horizontal strength Fn calculated based thereon. 本発明に係る円筒形構造物の補強構造およびこれを備える補強円筒形構造物の他の一例を示す図であり、(a)は立面図、(b)は平面図である。It is a figure which shows another example of the reinforcement structure of the cylindrical structure which concerns on this invention, and a reinforcement cylindrical structure provided with the same, (a) is an elevation view, (b) is a top view. 本発明に係る円筒形構造物の補強構造およびこれを備える補強円筒形構造物のさらに他の一例を示す図であり、(a)は立面図、(b)は平面図である。It is a figure which shows another example of the reinforcement structure of the cylindrical structure which concerns on this invention, and the reinforcement cylindrical structure provided with the same, (a) is an elevation view, (b) is a top view. 円筒形構造物に風力が作用して発生する座屈の例を示す図である。It is a figure which shows the example of the buckling which wind force acts on a cylindrical structure, and generate|occur|produces. 従来の円筒形構造物の補強構造の一例を示す図であり、(a)は立面図、(b)は平面図である。It is a figure which shows an example of the reinforcement structure of the conventional cylindrical structure, (a) is an elevation view, (b) is a top view. 従来の円筒形構造物の補強構造の他の一例を示す図であり、(a)は立面図、(b)は平面図である。It is a figure which shows another example of the reinforcement structure of the conventional cylindrical structure, (a) is an elevation view, (b) is a top view.

以下、図面を参照して、本発明の円筒形構造物の補強構造およびこれを備える補強円筒形構造物の実施の形態について説明する。 Embodiments of a reinforcing structure for a cylindrical structure according to the present invention and a reinforcing cylindrical structure including the same will be described below with reference to the drawings.

図1(a)の縦断面図および図1(b)の平面図に示すように、本実施の形態の円筒形構造物の補強構造1は、下端部5Lが地面に固定されるとともに上端部が開放された中空の円筒形構造物5を、この円筒形構造物に作用する風力に対して補強するものである。 As shown in the longitudinal sectional view of FIG. 1(a) and the plan view of FIG. 1(b), the reinforcing structure 1 for a cylindrical structure according to the present embodiment has a lower end portion 5L fixed to the ground and an upper end portion is to reinforce the open hollow cylindrical structure 5 against the wind force acting on this cylindrical structure.

また、本実施の形態の補強円筒形構造物10は、円筒形構造物5と、この円筒形構造物5を補強する上記円筒形構造物の補強構造1とを備えて、構成されるものである。 Further, the reinforced cylindrical structure 10 of the present embodiment comprises a cylindrical structure 5 and the reinforcing structure 1 for reinforcing the cylindrical structure 5. be.

図1(a)および図1(b)に示すように、円筒形構造物5の上端部5Uには、円筒形構造物5の径方向外側に向けて水平力を付与するワイヤ(補強部材)11が取り付けられている。具体的には、図1(a)に示すように、円筒形構造物5の上端部5Uと、地面に設置された反力確保用のアンカー12との間に、6本のワイヤ11が張架されている。図1(b)に示すように、6本のワイヤ11は、円筒形構造物5の中心軸5Cに対して平面視放射状に並ぶように、円筒形構造物5の上端部5Uの周方向に60°の間隔で配列されている。 As shown in FIGS. 1(a) and 1(b), a wire (reinforcing member) for applying a horizontal force radially outward of the cylindrical structure 5 is provided on the upper end portion 5U of the cylindrical structure 5. 11 is attached. Specifically, as shown in FIG. 1(a), six wires 11 are stretched between the upper end portion 5U of the cylindrical structure 5 and anchors 12 installed on the ground for ensuring reaction force. is suspended. As shown in FIG. 1(b), the six wires 11 are arranged in the circumferential direction of the upper end portion 5U of the cylindrical structure 5 so as to be arranged radially with respect to the central axis 5C of the cylindrical structure 5 in plan view. They are arranged at intervals of 60°.

円筒形構造物5の径方向外側に向けて水平力を付与する各ワイヤ11の水平耐力Fは、円筒形構造物5の座屈耐力pcrおよび設計風力Wに対し、下記(1)式の関係を満たすように設定されている。 The horizontal strength F n of each wire 11 that applies a horizontal force toward the radially outer side of the cylindrical structure 5 is obtained by the following formula (1) with respect to the buckling strength p cr of the cylindrical structure 5 and the design wind power W is set to satisfy the relationship of

≧√3・HR(W-pcr) (1)
ただし、Hは円筒形構造物5の高さ、Rは円筒形構造物5の半径である。
F n ≧√3·HR(W−p cr ) (1)
However, H is the height of the cylindrical structure 5 and R is the radius of the cylindrical structure 5 .

(1)式の関係について、以下に説明する。 (1) The relationship of the formula will be explained below.

円筒形構造物5の座屈耐力pcrが設計風力Wを下回ることによる、円筒形構造物5の座屈を防ぐために、補強部材(ワイヤ)11が負担すべき面荷重pは、
=W-pcr (5)
である。ここで、本発明では、円筒形構造物5に作用する風力分布の特性を用いて、補強部材(ワイヤ)11が負担すべき面荷重pを、補強部材が備えるべき水平耐力Fに変換し、(1)式の関係を得ている。
In order to prevent buckling of the cylindrical structure 5 due to the buckling strength pcr of the cylindrical structure 5 falling below the design wind force W, the surface load p n that the reinforcing member (wire) 11 should bear is
p n =W−p cr (5)
is. Here, in the present invention, the characteristic of the wind force distribution acting on the cylindrical structure 5 is used to convert the surface load p n to be borne by the reinforcing member (wire) 11 into the horizontal strength F n to be provided by the reinforcing member. , and the relationship of the formula (1) is obtained.

円筒形構造物5の壁面に作用する風力は、高さ方向および周方向に空間的・時間的に変化し、流入する気流の性質によって、円筒形構造物5に作用する風力分布の特性が大きく変化する。ここで、本発明者は、鋭意研究を重ねた結果、円筒形構造物5に風力が作用して生じる座屈現象は、風上側の正の風力により支配的に影響され、とりわけ、円筒形構造物5の中心軸5Cに対して風上側正面をθ=0°とするとき、円筒形構造物5の周方向に-60°≦θ≦+60°の範囲に作用する正の風力が、円筒形構造物5の座屈現象に支配的な影響を与えることを見出した。 The wind force acting on the wall surface of the cylindrical structure 5 varies spatially and temporally in the height direction and the circumferential direction, and the characteristics of the wind force distribution acting on the cylindrical structure 5 vary greatly depending on the properties of the inflowing airflow. Change. Here, as a result of extensive research, the inventors of the present invention have found that the buckling phenomenon caused by the wind force acting on the cylindrical structure 5 is predominantly affected by the positive wind force on the windward side. When the windward front is θ=0° with respect to the central axis 5C of the object 5, the positive wind force acting in the circumferential direction of the cylindrical structure 5 in the range of −60°≦θ≦+60° It was found to have a dominant effect on the buckling phenomenon of the structure 5.

これより、風力分布が高さ方向で一様であるものと仮定すると、補強部材(ワイヤ)11が備えるべき水平耐力Fは、補強部材が負担すべき面荷重pのうち、円筒形構造物5の周方向に-60°≦θ≦+60°の範囲に作用する風力についてθ=0°方向成分を積分して、下記(1’)式のように算出され、これより上記(1)式の関係が導かれる。 From this, assuming that the wind force distribution is uniform in the height direction, the horizontal strength Fn that the reinforcing member (wire) 11 should have is the surface load pn that the reinforcing member should bear. The θ = 0° direction component of the wind force acting in the circumferential direction of the object 5 in the range of -60° ≤ θ ≤ +60° is integrated and calculated as shown in the following formula (1'). Formula relations are derived.

Figure 2022156474000002
Figure 2022156474000002

図2に、上記(1’)式の水平耐力Fの算出において、考慮する面荷重pの範囲を、-60°≦θ≦+60°から変化させた場合に、補強部材(ワイヤ)11が備えるべき水平耐力Fがどのように変化するかを、グラフで示す。ただし、図2において、縦軸の水平耐力FはHR/(W-pcr)で基準化している。 FIG. 2 shows the case where the range of the surface load p n to be considered in the calculation of the horizontal strength Fn of the above equation (1′) is changed from −60° ≤ θ ≤ +60°, the reinforcing member (wire) 11 It is shown graphically how the horizontal yield strength F n that should be provided by . However, in FIG. 2, the horizontal strength F n on the vertical axis is normalized by HR/(W−p cr ).

図2に示されるように、考慮する面荷重pの範囲を±60°よりも広くすると、補強部材(ワイヤ)11が備えるべき水平耐力Fは必要な水平力を上回り、非効率的な補強構造となる。一方、考慮する面荷重pの範囲を±60°よりも狭くすると、補強部材(ワイヤ)11が備えるべき水平耐力Fは必要な水平力を下回り、補強が不足する。そこで、本発明では、式(1)、(1’)に示すように、補強部材が負担すべき面荷重pのうち、円筒形構造物5の周方向に-60°≦θ≦+60°の範囲に作用する風力を考慮して、補強部材(ワイヤ)11が備えるべき水平耐力Fを算出している。 As shown in FIG. 2, when the range of the surface load pn to be considered is wider than ±60°, the horizontal strength Fn that the reinforcing member (wire) 11 should have exceeds the required horizontal force, resulting in inefficient Reinforcement structure. On the other hand, if the range of the surface load pn to be considered is narrower than ±60°, the horizontal strength Fn that the reinforcing member (wire) 11 should have falls below the required horizontal force, resulting in insufficient reinforcement. Therefore, in the present invention, as shown in formulas (1) and (1'), of the surface load pn to be borne by the reinforcing member, -60° ≤ θ ≤ +60° in the circumferential direction of the cylindrical structure 5 The horizontal strength Fn that the reinforcing member (wire) 11 should have is calculated in consideration of the wind force acting in the range of .

上記(1)式において、円筒形構造物5の座屈耐力pcrは、本発明者らによる「変動風力を受ける円筒形貯槽の動的座屈特性」(日本風工学会論文集、平成30年4月、第43巻、第2号、pp.1-10)に開示される、屋根面のない円筒形構造物の風力に対する無次元座屈耐力kの近似式に基づいて、下記(2)式のように算出される。 In the above equation (1), the buckling strength p cr of the cylindrical structure 5 is determined by the inventors'"Dynamic Buckling Characteristics of Cylindrical Storage Tank Subjected to Fluctuating Wind Forces" (Proceedings of the Japan Wind Engineering Society, 2018 April 2004, Vol. 43, No. 2, pp. 1-10 ), the following ( 2) Calculated as shown in the formula.

cr=0.82α(H/D)-1(R/t)-2.5 (2)
ただし、
α=πE/{24(1-ν0.75} (3)
とし、Dは円筒形構造物5の直径、tは円筒形構造物5の肉厚、Eは円筒形構造物5のヤング係数、νは円筒形構造物5のポアソン比である。
p cr =0.82α(H/D) −1 (R/t) −2.5 (2)
however,
α=π 2 E/{24(1−ν 2 ) 0.75 } (3)
where D is the diameter of the cylindrical structure 5, t is the thickness of the cylindrical structure 5, E is the Young's modulus of the cylindrical structure 5, and ν is the Poisson's ratio of the cylindrical structure 5.

また、円筒形構造物に作用する風力Wについては下記式(4)で表される。 Further, the wind force W acting on the cylindrical structure is represented by the following formula (4).

W=Cf0×G×(1/2)ρV (4)
ただし、Cf0はよどみ点における風力係数、Gはガスト影響係数、ρは空気密度、Vは設計風速である。
W=C f0 ×G f ×(1/2)ρV 2 (4)
where C f0 is the wind force coefficient at the stagnation point, G f is the gust influence coefficient, ρ is the air density, and V is the design wind speed.

本実施の形態の円筒形構造物の補強構造1およびこれを備える補強円筒形構造物10によれば、円筒形構造物5の径方向外側に向けて水平力を付与するワイヤ(補強部材)11の水平耐力Fが、円筒形構造物5の座屈耐力pcrおよび設計風力Wに対し、(1)式の関係を満たすように設定されていることにより、ワイヤ11の水平耐力が効率的に発揮され、極めて合理的な補強構造となる。よって、ワイヤ11の耐力(強度、サイズ、数)を、合理的な安全率で設計することが可能となり、建設費用を抑え、建設作業の効率性を向上できる。また、円筒形構造物5は、下端部が固定され、上端部が開放されているため、円筒形構造物5の上端部5Uにワイヤ(補強部材)11を取り付けることで、円筒形構造物5の耐風性を著しく向上させることができる。 According to the reinforcing structure 1 for a cylindrical structure of the present embodiment and the reinforcing cylindrical structure 10 including the same, the wire (reinforcing member) 11 for applying a horizontal force toward the radially outer side of the cylindrical structure 5 is set so as to satisfy the relationship of formula (1) with respect to the buckling strength p cr of the cylindrical structure 5 and the design wind force W, so that the horizontal strength of the wire 11 is efficient , and it becomes an extremely rational reinforcement structure. Therefore, it is possible to design the yield strength (strength, size, number) of the wires 11 with a reasonable safety factor, reduce the construction cost, and improve the efficiency of the construction work. Further, since the cylindrical structure 5 has a fixed lower end and an open upper end, by attaching a wire (reinforcing member) 11 to the upper end 5U of the cylindrical structure 5, the cylindrical structure 5 can be wind resistance can be significantly improved.

なお、上記(1’)式の水平耐力Fの算出において、考慮する面荷重pの範囲を、60°≦θ≦+60°としていることから、ワイヤ(補強部材)11は、本実施の形態のように、円筒形構造物5の上端部5Uの周方向に60°の間隔で設置されれば必要十分である。この配置間隔を55°以上65°以下の範囲内とすれば、円筒形構造物の補強構造1の合理性が確保される。 In addition, in the calculation of the horizontal strength F n of the above equation (1′), the range of the surface load p n to be considered is set to 60°≦θ≦+60°. Like the form, it is necessary and sufficient if they are installed at intervals of 60° in the circumferential direction of the upper end portion 5U of the cylindrical structure 5 . If this arrangement interval is in the range of 55° or more and 65° or less, the rationality of the reinforcing structure 1 for the cylindrical structure is ensured.

なお、本発明の円筒形構造物の補強構造およびこれを備える補強円筒形構造物は、上記実施の形態に限定されることなく、本発明の要旨の範囲内において、適宜変更することが可能である。例えば、図3(a)の縦断面図および図3(b)の平面図に示す円筒形構造物の補強構造2およびこれを備える補強円筒形構造物20のように、補強部材として、円筒形構造物5の上端部5Uと、円筒形構造物5の内側の地面との間に斜材21を架設して、円筒形構造物5の上端部5Uに径方向外側に向けて水平力を付与するようにしてもよい。あるいは、図4(a)の縦断面図および図4(b)の平面図に示す円筒形構造物の補強構造3およびこれを備える補強円筒形構造物30のように、補強部材として、円筒形構造物5の上端部5Uの内側に水平に水平トラス部材31を架設して、円筒形構造物5の上端部5Uに径方向外側に向けて水平力を付与するようにしてもよい。 It should be noted that the reinforcing structure for a cylindrical structure and the reinforcing cylindrical structure including the same according to the present invention are not limited to the above-described embodiments, and can be appropriately modified within the scope of the present invention. be. For example, as in the reinforcing structure 2 of the cylindrical structure shown in the vertical cross-sectional view of FIG. 3(a) and the plan view of FIG. A diagonal member 21 is installed between the upper end portion 5U of the structure 5 and the ground inside the cylindrical structure 5 to apply a horizontal force radially outward to the upper end portion 5U of the cylindrical structure 5. You may make it Alternatively, as in the reinforcing structure 3 of the cylindrical structure shown in the vertical cross-sectional view of FIG. 4(a) and the plan view of FIG. A horizontal truss member 31 may be installed horizontally inside the upper end portion 5U of the structure 5 to apply a horizontal force to the upper end portion 5U of the cylindrical structure 5 radially outward.

円筒形構造物の補強構造 1、2、3
補強円筒形構造物 10、20、30
補強部材(ワイヤ) 11
補強部材(斜材) 21
補強部材(水平トラス部材) 31
円筒形構造物 5
下端部 5L
上端部 5U
中心軸 5C
Reinforcement structure of cylindrical structure 1, 2, 3
Reinforced cylindrical structure 10, 20, 30
Reinforcing member (wire) 11
Reinforcement member (diagonal member) 21
Reinforcing member (horizontal truss member) 31
Cylindrical structure 5
Lower end 5L
Upper end 5U
central axis 5C

Claims (6)

下端部が固定されるとともに上端部が開放された中空の円筒形構造物を、該円筒形構造物に作用する風力に対して補強する円筒形構造物の補強構造であって、
前記上端部の少なくとも1か所に、前記円筒形構造物の径方向外側に向けて水平力を付与する補強部材が取り付けられ、
前記補強部材の水平耐力Fが、前記円筒形構造物の座屈耐力pcrおよび設計風力Wに対し、下記(1)式の関係を満たすことを特徴とする円筒形構造物の補強構造。
≧√3・HR(W-pcr) (1)
ただし、Hは前記円筒形構造物の高さ、Rは前記円筒形構造物の半径である。
A cylindrical structure reinforcing structure for reinforcing a hollow cylindrical structure having a fixed lower end and an open upper end against wind force acting on the cylindrical structure,
A reinforcing member is attached to at least one portion of the upper end portion to apply a horizontal force toward the radially outer side of the cylindrical structure,
A reinforcing structure for a cylindrical structure, wherein the horizontal strength F n of the reinforcing member satisfies the relationship of the following formula (1) with respect to the buckling strength p cr of the cylindrical structure and the design wind force W.
F n ≧√3·HR(W−p cr ) (1)
where H is the height of the cylindrical structure and R is the radius of the cylindrical structure.
前記座屈耐力pcrは、下記(2)式により算出されることを特徴とする請求項1に記載の円筒形構造物の補強構造。
cr=0.82α(H/D)-1(R/t)-2.5 (2)
ただし、
α=πE/{24(1-ν0.75} (3)
とし、Dは前記円筒形構造物の直径、tは前記円筒形構造物の肉厚、Eは前記円筒形構造物のヤング係数、νは前記円筒形構造物のポアソン比である。
2. The reinforcing structure of a cylindrical structure according to claim 1, wherein the buckling strength pcr is calculated by the following formula (2).
p cr =0.82α(H/D) −1 (R/t) −2.5 (2)
however,
α=π 2 E/{24(1−ν 2 ) 0.75 } (3)
where D is the diameter of the cylindrical structure, t is the thickness of the cylindrical structure, E is the Young's modulus of the cylindrical structure, and ν is the Poisson's ratio of the cylindrical structure.
前記設計風力Wは、下記(4)式により算出されることを特徴とする請求項1または2に記載の円筒形構造物の補強構造。
W=Cf0×G×(1/2)ρV (4)
ただし、Cf0はよどみ点における風力係数、Gはガスト影響係数、ρは空気密度、Vは設計風速である。
The reinforcing structure for a cylindrical structure according to claim 1 or 2, wherein the design wind power W is calculated by the following formula (4).
W=C f0 ×G f ×(1/2)ρV 2 (4)
where C f0 is the wind force coefficient at the stagnation point, G f is the gust influence coefficient, ρ is the air density, and V is the design wind speed.
前記補強部材は、前記上端部の周方向の6か所に取り付けられていることを特徴とする請求項1~3のいずれかに記載の円筒形構造物の補強構造。 The reinforcing structure for a cylindrical structure according to any one of claims 1 to 3, wherein said reinforcing members are attached at six locations in the circumferential direction of said upper end portion. 前記補強部材は、前記円筒形構造物の中心軸に対し、前記上端部の周方向に55°以上65°以下の間隔で配置されていることを特徴とする請求項4に記載の円筒形構造物の補強構造。 5. The cylindrical structure according to claim 4, wherein the reinforcing members are arranged at intervals of 55° or more and 65° or less in the circumferential direction of the upper end with respect to the central axis of the cylindrical structure. Reinforcement structure of things. 下端部が固定されるとともに上端部が開放された中空の円筒形構造物を、該円筒形構造物に作用する風力に対して補強する円筒形構造物と、
前記円筒形構造物を補強する、請求項1~5のいずれかに記載の円筒形構造物の補強構造と
を備えることを特徴とする補強円筒形構造物。
a cylindrical structure that reinforces a hollow cylindrical structure with a fixed lower end and an open upper end against wind forces acting on the cylindrical structure;
A reinforced cylindrical structure, comprising: a reinforcing structure for a cylindrical structure according to any one of claims 1 to 5, which reinforces the cylindrical structure.
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