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JP7728097B2 - Square steel pipe column reinforcement structure - Google Patents
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JP7728097B2 - Square steel pipe column reinforcement structure - Google Patents

Square steel pipe column reinforcement structure

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JP7728097B2
JP7728097B2 JP2021060008A JP2021060008A JP7728097B2 JP 7728097 B2 JP7728097 B2 JP 7728097B2 JP 2021060008 A JP2021060008 A JP 2021060008A JP 2021060008 A JP2021060008 A JP 2021060008A JP 7728097 B2 JP7728097 B2 JP 7728097B2
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steel pipe
square steel
pipe column
reinforcement
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JP2022156365A (en
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尭之 木下
由悟 佐藤
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Nippon Steel Metal Products Co Ltd
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Description

本発明は、角形鋼管柱補強構造に関する。 The present invention relates to a square steel pipe column reinforcement structure.

建築物の耐震性能は構成部材の耐力と変形性能で評価される。角形鋼管柱では幅厚比(外径/板厚)が大きい場合、外力を受けて該柱端部に局部座屈が発生すると、早期に耐力を喪失してしまい、変形性能に乏しいことが問題となる。これに対し建築設計では角形鋼管柱の幅厚比に応じて設計外力を割り増すことで安全性の検証を行っている。一方で、角形鋼管柱の耐震性能を向上させるため、該柱の耐力あるいは変形性能を向上させる工法が提案されており、耐力向上を目的とした事例が多くを占めている。 The seismic performance of a building is evaluated based on the strength and deformation capacity of its constituent members. When a square steel pipe column has a large width-to-thickness ratio (outer diameter/plate thickness), local buckling occurs at the end of the column when subjected to external force, resulting in a premature loss of strength and poor deformation capacity, which becomes a problem. In response to this, architectural design involves verifying safety by increasing the design external force in accordance with the width-to-thickness ratio of the square steel pipe column. Meanwhile, in order to improve the seismic performance of square steel pipe columns, construction methods have been proposed to improve the strength or deformation capacity of the columns, and the majority of these methods are aimed at improving strength.

ここで、角形鋼管柱の耐力または変形性能を向上させるため、当該柱端部に補強材を配置するような補強構造が採用される場合がある。例えば、角形鋼管柱の耐力向上を意図した補強工法として、リブプレート補強の工法や、カバープレート補強の工法などが採用される場合がある。例えば後者の工法は、『(一財)日本建築センター;2018年版冷間成形角形鋼管設計・施工マニュアル補遺「STKR柱補強設計・施工マニュアル」」に既存建築物の耐震改修手段として設計法がまとめられている。 In order to improve the strength or deformation capacity of square steel pipe columns, reinforcement structures such as placing reinforcing materials at the column ends are sometimes adopted. For example, rib plate reinforcement and cover plate reinforcement methods are sometimes used to improve the strength of square steel pipe columns. For example, the latter method is summarized as a design method for seismic retrofitting of existing buildings in the "STKR Column Reinforcement Design and Construction Manual, Supplement to the 2018 Cold-Formed Square Steel Pipe Design and Construction Manual by the Building Center of Japan (General Incorporated Foundation)."

また、角形鋼管柱の変形性能向上を意図した補強工法として、特許文献1に記載されたものが知られている。特許文献1には、角形鋼管柱端部の外面あるいは内面の少なくとも一方側から間隙を介して補強材を配置し、角形鋼管柱が局部座屈変形した際に補強材が当接して局部座屈変形を規制可能な角形鋼管柱の変形性能を向上させようとする構造が記載されている。あるいは、損傷した角形鋼管柱の耐力回復を意図した補修工法として、『(一財)日本建築防災協会;震災建築物等の被災度区分判定基準および復旧技術指針(2015)』などには、地震によって損傷した角形鋼管柱の局部座屈変形が発生した箇所に外側からカバープレートを当てて溶接することで耐力を元の鋼管と同等まで回復させる工法が記載されている。 Patent Document 1 describes a reinforcement method intended to improve the deformation capacity of square steel pipe columns. This document describes a structure that aims to improve the deformation capacity of square steel pipe columns by placing reinforcing material through a gap on at least one side of the outer or inner surface of the end of the square steel pipe column, so that when the square steel pipe column experiences local buckling deformation, the reinforcing material abuts against the column, thereby restricting local buckling deformation. Alternatively, the Japan Building Disaster Prevention Association's "Damage Classification Criteria and Restoration Technical Guidelines for Earthquake-Affected Buildings, etc. (2015)" describes a repair method intended to restore the strength of damaged square steel pipe columns. This method involves welding cover plates from the outside to the areas of earthquake-damaged square steel pipe columns where local buckling deformation has occurred, restoring the strength to the same level as the original steel pipe.

特開2012-136929号公報JP 2012-136929 A

ここで、幅厚比の大きな角形鋼管柱は外力を受けた際、早期に耐力を喪失するため、変形性能に乏しいという問題がある。また、従来の角形鋼管柱の補強工法は、主として耐力を向上させることを目的としたものが多く、過度な耐力の向上は周辺部材の設計への影響が懸念される場合がある。補強にあたって、補強材と壁材との取り合いが問題となる場合がある。複雑な構成の工法は、工数の大幅な増加が問題となる場合がある。 However, square steel pipe columns with a large width-thickness ratio lose their strength quickly when subjected to external forces, resulting in poor deformability. Furthermore, many conventional reinforcement methods for square steel pipe columns are primarily aimed at improving strength, and excessive strength improvements can have a negative impact on the design of surrounding components. When reinforcing columns, the fit between the reinforcing material and the wall material can be problematic. Construction methods with complex structures can also result in a significant increase in labor hours.

本発明は、このような課題を解決するためになされたものであり、シンプルな構造であり、且つ重量を抑制した構造にて、角形鋼管柱の性能を向上できる角形鋼管柱補強構造を提供することを目的とする。 The present invention was made to solve these problems, and aims to provide a square steel pipe column reinforcement structure that is simple in structure, has a reduced weight, and can improve the performance of square steel pipe columns.

本発明に係る角形鋼管柱補強構造は、角形鋼管柱と、角形鋼管柱の側壁部の外面及び内面の少なくとも一方に対して、角形鋼管柱の長手方向の端面から離間する位置に設けられた板状の補強材と、を備え、角形鋼管柱の径をDとし、角形鋼管柱の板厚をtとし、端面から補強材の端部までの補強長さをhとし、補強材の板厚tとした場合、(h/D ≧ 0.6)の関係、及び式(1)の関係が成り立つ。
The square steel pipe column reinforcement structure of the present invention comprises a square steel pipe column and a plate-shaped reinforcing member provided on at least one of the outer surface and inner surface of the side wall portion of the square steel pipe column at a position away from the longitudinal end face of the square steel pipe column, and when the diameter of the square steel pipe column is D, the plate thickness of the square steel pipe column is t, the reinforcement length from the end face to the end of the reinforcing member is hr , and the plate thickness of the reinforcing member is t , the relationship of ( hr /D ≧ 0.6) and the relationship of formula (1) hold.

この角形鋼管柱構造では、補強する角形鋼管柱に応じた適切な補強材サイズの選定によって、角形鋼管柱の局部座屈は許容するが当該座屈変形を適度に拘束することで、局部座屈後の耐力低下を緩やかにし、変形性能を向上させることができる。また、角形鋼管柱の局部座屈が発生しうる端部に補強を限定することで、工数の大幅な増加を避けることができる。また、補強材を角形鋼管柱の長手方向の端面から一定の間隔をあけて取り付けることで、周辺部材の設計への影響を伴うような、角形鋼管柱の過度な耐力上昇を防ぐことができる。補強材は板状の構成を有しているため、角形鋼管柱の表面からの補強材の突出量が小さいため、壁材との取り合いに対する影響を低減できる。また、(h/D ≧ 0.6)の関係を満たすことで、補強長さを十分に確保することで、角形鋼管柱に求められる性能を確保することができる。また、式(1)の関係が成り立つため、重量の過度な増加を抑制できる。以上より、シンプルな構造であり、且つ重量を抑制した構造にて、角形鋼管柱の性能を向上できる。 In this square steel pipe column structure, by selecting an appropriate reinforcement size according to the square steel pipe column to be reinforced, local buckling of the square steel pipe column is permitted while the buckling deformation is moderately restrained, thereby mitigating the decrease in strength after local buckling and improving deformability. Furthermore, by limiting reinforcement to the end of the square steel pipe column where local buckling may occur, a significant increase in labor costs can be avoided. Furthermore, by attaching the reinforcement at a certain distance from the longitudinal end face of the square steel pipe column, excessive increases in strength of the square steel pipe column that would affect the design of surrounding components can be prevented. Because the reinforcement has a plate-like structure, its protrusion from the surface of the square steel pipe column is small, thereby reducing the impact on the interface with wall materials. Furthermore, by satisfying the relationship ( hr /D ≧ 0.6), sufficient reinforcement length can be ensured, thereby ensuring the performance required of the square steel pipe column. Furthermore, since the relationship of Equation (1) holds, excessive weight increases can be suppressed. As a result, the performance of square steel pipe columns can be improved with a simple structure and a reduced weight.

角形鋼管柱補強構造では、(h/D ≧ 0.8)の関係が成り立ってよい。この場合、更に角形鋼管柱に求められる性能を確保することができる。 In a steel box column reinforced structure, the relationship ( hr /D≧0.8) may be satisfied, which further ensures the performance required of a steel box column.

角形鋼管柱補強構造では、(t/t ≧ 0.26)の関係が成り立ってよい。この場合、更に角形鋼管柱に求められる性能を確保することができる。 In a steel box column reinforced structure, the relationship (t r /t ≧ 0.26) may be satisfied, which further ensures the performance required of a steel box column.

角形鋼管柱補強構造では、式(2)の関係が成り立ってよい。この場合、重量の過度な増加を更に抑制することができる。
In a steel box column reinforced structure, the relationship of formula (2) may be satisfied. In this case, excessive weight increase can be further suppressed.

角形鋼管柱補強構造は、角形鋼管柱と、角形鋼管柱の側壁部の外面及び内面の少なくとも一方に対して、角形鋼管柱の長手方向の端面から離間する位置に設けられた板状の補強材と、を備え、角形鋼管柱の径をDとし、端面から補強材の端部までの補強長さをhとした場合、(h/D ≧ 0.6)の関係、及び(重量増加率=(補強材重量)/(角形鋼管柱重量)≦0.08)の関係が成り立つ。 The square steel pipe column reinforcement structure comprises a square steel pipe column and a plate-shaped reinforcing member provided on at least one of the outer and inner surfaces of the side wall portion of the square steel pipe column at a position away from the longitudinal end face of the square steel pipe column, and when the diameter of the square steel pipe column is D and the reinforcement length from the end face to the end of the reinforcing member is hr , the relationships ( hr /D ≧ 0.6) and (weight increase rate = (reinforcement weight)/(square steel pipe column weight) ≦ 0.08) hold.

この角形鋼管柱では、補強する角形鋼管柱に応じた適切な補強材サイズの選定によって、角形鋼管柱の局部座屈は許容するが当該座屈変形を適度に拘束することで、局部座屈後の耐力低下を緩やかにし、変形性能を向上させることができる。また、角形鋼管柱の局部座屈が発生しうる端部に補強を限定することで、工数の大幅な増加を避けることができる。また、補強材を角形鋼管柱の長手方向の端面から一定の間隔をあけて取り付けることで、周辺部材の設計への影響を伴うような、角形鋼管柱の過度な耐力上昇を防ぐことができる。補強材は板状の構成を有しているため、角形鋼管柱の表面からの補強材の突出量が小さいため、壁材との取り合いに対する影響を低減できる。また、(h/D ≧ 0.6)の関係を満たすことで、補強長さを十分に確保することで、角形鋼管柱に求められる性能を確保することができる。また、(重量増加率=(補強材重量)/(角形鋼管柱重量)≦0.08)の関係が成り立つため、重量の過度な増加を抑制できる。以上より、シンプルな構造であり、且つ重量を抑制した構造にて、角形鋼管柱の性能を向上できる。 In this square steel pipe column, by selecting an appropriate reinforcement size according to the square steel pipe column to be reinforced, local buckling of the square steel pipe column is permitted while the buckling deformation is moderately restrained, thereby mitigating the decrease in strength after local buckling and improving deformability. Furthermore, by limiting reinforcement to the end of the square steel pipe column where local buckling may occur, a significant increase in labor costs can be avoided. Furthermore, by attaching the reinforcement at a certain distance from the longitudinal end face of the square steel pipe column, excessive increases in strength of the square steel pipe column that would affect the design of surrounding components can be prevented. Because the reinforcement has a plate-like structure, the amount of protrusion of the reinforcement from the surface of the square steel pipe column is small, thereby reducing the impact on the interface with wall materials. Furthermore, by satisfying the relationship ( hr /D ≧ 0.6), sufficient reinforcement length can be ensured, thereby ensuring the performance required of the square steel pipe column. Furthermore, since the relationship (weight increase rate = (reinforcement weight) / (square steel pipe column weight) ≦ 0.08) holds, excessive weight increase can be suppressed. As a result, the performance of the square steel pipe column can be improved with a simple structure and a weight-suppressed structure.

本発明によれば、シンプルな構造であり、且つ重量を抑制した構造にて、角形鋼管柱の性能を向上できる。 This invention improves the performance of square steel pipe columns with a simple and lightweight structure.

本発明の実施形態に係る角形鋼管柱補強構造100が採用された柱梁接合構造50を示す斜視図である。1 is a perspective view showing a column-beam joint structure 50 in which a square steel pipe column reinforcing structure 100 according to an embodiment of the present invention is adopted. 角形鋼管柱1の全体を示す図である。FIG. 1 is a diagram showing the entire square steel pipe column 1. 角形鋼管柱補強構造を示す図である。FIG. 1 is a diagram showing a square steel pipe column reinforcement structure. 試験体を示す図である。FIG. 試験諸元及び試験結果の一覧を示す表である。1 is a table showing a list of test specifications and test results. 試験結果を示すグラフである。10 is a graph showing test results. 解析モデルの概要を示す図である。FIG. 1 is a diagram illustrating an outline of an analytical model. 解析結果を示すグラフである。10 is a graph showing the analysis results. 解析結果の変形態様を示す図である。FIG. 10 is a diagram showing a modified form of the analysis result. 解析結果を示すグラフである。10 is a graph showing the analysis results. 角形鋼管柱補強構造の補強仕様の有効範囲を示す図である。FIG. 10 is a diagram showing the effective range of reinforcement specifications for a square steel pipe column reinforced structure. 変形例に係る角形鋼管柱補強構造の補強材を示す図である。FIG. 10 is a diagram showing a reinforcing member of a square steel pipe column reinforcing structure according to a modified example.

以下、本発明の好適な実施形態について、図面を参照しながら説明する。 A preferred embodiment of the present invention will be described below with reference to the drawings.

図1は、本発明の実施形態に係る角形鋼管柱補強構造100が採用された柱梁接合構造50を示す斜視図である。図2は、角形鋼管柱1の全体を示す図である。図1及び図2に示すように、柱梁接合構造50は、角形鋼管柱1と、当該角形鋼管柱1に接合された梁2と、接合コア3と、を備える。なお、図1及び図2は、角形鋼管柱補強構造の適用先の一例を示しているに過ぎず、適用先は適宜変更可能である。 Figure 1 is a perspective view showing a column-beam connection structure 50 that employs a square steel pipe column reinforcement structure 100 according to an embodiment of the present invention. Figure 2 is a diagram showing the entire square steel pipe column 1. As shown in Figures 1 and 2, the column-beam connection structure 50 comprises a square steel pipe column 1, a beam 2 connected to the square steel pipe column 1, and a connection core 3. Note that Figures 1 and 2 merely show one example of an application of the square steel pipe column reinforcement structure, and the application can be changed as appropriate.

角形鋼管柱1は、四角形断面を有する鋼管によって構成される。上側の角形鋼管柱1と、下側の角形鋼管柱1とは、接合コア3を介して互いに上下方向に接続される。角形鋼管柱1は、四方の側壁部10を有する。角形鋼管柱1は、長手方向(上下方向)の下側の端面1aと、上側の端面1bと、を有する。 The square steel pipe column 1 is composed of a steel pipe with a rectangular cross section. The upper square steel pipe column 1 and the lower square steel pipe column 1 are connected to each other in the vertical direction via a connecting core 3. The square steel pipe column 1 has four side walls 10. The square steel pipe column 1 has a lower end face 1a and an upper end face 1b in the longitudinal direction (vertical direction).

四方の梁2は、接合コア3を介して角形鋼管柱1と接合される。梁2は、断面H型の形状を有しており、上下のフランジ2a,2bと、フランジ2a,2b同士を接続するウェブ部2cと、を備える。 The beams 2 on all four sides are connected to the square steel pipe columns 1 via connecting cores 3. The beams 2 have an H-shaped cross section and include upper and lower flanges 2a, 2b, and a web portion 2c that connects the flanges 2a, 2b together.

接合コア3は、四角形の断面を有する鋼管部3aと、鋼管部3aの上側の端面、及び下側の端面に形成されたダイヤフラム3b,3cと、を備える。上側の角形鋼管柱1の下側の端面1aは、接合コア3のダイヤフラム3bに接合される。下側の角形鋼管柱1の上側の端面1bは、接合コア3のダイヤフラム3cに接続される。また、梁2の上下のフランジ2a,2bも上下のダイヤフラム3b,3cの位置にて接合される。 The connecting core 3 comprises a steel pipe section 3a with a rectangular cross section and diaphragms 3b, 3c formed on the upper and lower end faces of the steel pipe section 3a. The lower end face 1a of the upper square steel pipe column 1 is connected to the diaphragm 3b of the connecting core 3. The upper end face 1b of the lower square steel pipe column 1 is connected to the diaphragm 3c of the connecting core 3. The upper and lower flanges 2a, 2b of the beam 2 are also connected at the positions of the upper and lower diaphragms 3b, 3c.

角形鋼管柱補強構造100は、上述の角形鋼管柱1と、複数の補強材20と、を備える。補強材20は、角形鋼管柱1の側壁部10の外面及び内面の少なくとも一方に対して、角形鋼管柱1の端面1a,1bから離間する位置に設けられた四角形の板状の部材である。本実施形態では、補強材20は、四角形に形成されており、側壁部10の外面に固定されている。補強材20は、角形鋼管柱1の下側の端面1a付近において、四方の側壁部10の全てに対して設けられている。補強材20は、角形鋼管柱1の上側の端面1b付近において、四方の側壁部10の全てに対して設けられている。従って、一本の角形鋼管柱1に対して、合計八つの補強材20が設けられている。 The square steel pipe column reinforcement structure 100 comprises the square steel pipe column 1 described above and multiple reinforcing members 20. The reinforcing members 20 are rectangular plate-shaped members provided on at least one of the outer and inner surfaces of the side wall portions 10 of the square steel pipe column 1, at positions spaced apart from the end faces 1a and 1b of the square steel pipe column 1. In this embodiment, the reinforcing members 20 are rectangular and fixed to the outer surfaces of the side wall portions 10. The reinforcing members 20 are provided near the lower end face 1a of the square steel pipe column 1 on all four side wall portions 10. The reinforcing members 20 are provided near the upper end face 1b of the square steel pipe column 1 on all four side wall portions 10. Therefore, a total of eight reinforcing members 20 are provided for one square steel pipe column 1.

次に、図3を参照して、角形鋼管柱補強構造100の寸法関係について説明する。なお、図3は、角形鋼管柱1の下側の構成を示してるが、上側も同趣旨の構成を有している。図3(a)に示すように、角形鋼管柱1の径をDとする。角形鋼管柱1の板厚をtとする。図3(b)に示すように、角形鋼管柱1の下側の端面1aから補強材20の端面1aから離間する側の端部20aまでの補強長さをhとする。角形鋼管柱1の下側の端面1aから補強材20の端面1aに近い側の端部20bまでの隙間をSとする。なお、端部20a,20bは、角形鋼管柱1の端面1aと平行をなす。補強材20の幅をbとする。補強材20は、幅方向において、側壁部10の中央位置に配置されている。補強材20の幅方向の両端部20c,20dは、側壁部10の両端部10a,10bから幅方向の内側に離間した位置にて、両端部10a,10bと平行をなす。補強材20の板厚をtとする。また、角形鋼管柱1の長さをLとする。具体的には、「角形鋼管柱の径D×板厚t」については、冷間ロール成形角形鋼管で「□200×6~□550×19」の範囲としてよく、冷間プレス成形角形鋼管で「□350×12~□1000×32」としてよい。また、補強材板厚の範囲は「0.26≦t/t≦1.0」としてよい。補強長さの範囲は「0.6≦h/D≦2.0」としてよい。補強材幅は「0<b/D≦0.8」としてよい。隙間は「0≦S/D≦0.27」としてよい。 Next, the dimensional relationship of the square steel pipe column reinforcement structure 100 will be described with reference to Figure 3. While Figure 3 shows the configuration of the lower side of the square steel pipe column 1, the upper side has a similar configuration. As shown in Figure 3(a), the diameter of the square steel pipe column 1 is defined as D. The plate thickness of the square steel pipe column 1 is defined as t. As shown in Figure 3(b), the reinforcement length from the lower end face 1a of the square steel pipe column 1 to the end 20a of the reinforcement 20 away from the end face 1a is defined as hr . The gap from the lower end face 1a of the square steel pipe column 1 to the end 20b of the reinforcement 20 closer to the end face 1a is defined as Sr. The ends 20a, 20b are parallel to the end face 1a of the square steel pipe column 1. The width of the reinforcement 20 is defined as br . The reinforcement 20 is positioned at the center of the side wall portion 10 in the width direction. The widthwise ends 20c, 20d of the reinforcing member 20 are parallel to the widthwise ends 10a, 10b of the side wall portion 10, spaced apart from the widthwise inward ends 10a, 10b. The plate thickness of the reinforcing member 20 is defined as tr . The length of the square steel pipe column 1 is defined as L. Specifically, the "diameter D of the square steel pipe column x plate thickness t" may be in the range of "□200 x 6 to □550 x 19" for cold-roll-formed square steel pipes, and "□350 x 12 to □1000 x 32" for cold-press-formed square steel pipes. The plate thickness of the reinforcing member may be in the range of "0.26≦t r /t ≦1.0." The reinforcing length may be in the range of "0.6≦hr / D ≦2.0." The width of the reinforcing member may be in the range of "0< br /D ≦0.8." The gap may be set to "0≦S r /D≦0.27".

次に、角形鋼管柱補強構造100の各部位の好ましい寸法関係の設定について説明を行う。まず、図4~図6を参照して、角形鋼管柱補強構造100の耐力についての試験について説明する。具体的に、角形鋼管柱補強構造100の補強効果の確認のため、補強材20の板厚t、補強長さhを変数とした実大3点曲げ試験(単調/繰返し載荷)を実施した。試験体として、図4(a)に示すものを準備した。図中の「A」で示す部分の拡大図を図4(b)に示す。角形鋼管柱1の四方に補強材20を設けた試験体を二つ準備し、各角形鋼管柱1のうち、補強材20が設けられた側の端部を支持部材32で支持した。また、各角形鋼管柱1の反対側の端部をそれぞれ支持部材31で支持した。中央の支持部材32に荷重を与えて、測定を行い、局部座屈の性状を観察した。なお、補強材20を設けない「無補強」に係る試験体も準備した。 Next, we will explain how to set the preferred dimensional relationships between each part of the square steel pipe column reinforced structure 100. First, with reference to Figures 4 to 6, we will explain tests on the bearing capacity of the square steel pipe column reinforced structure 100. Specifically, to confirm the reinforcing effect of the square steel pipe column reinforced structure 100, a full-scale three-point bending test (monotonic/cyclic loading) was conducted with the plate thickness t r and reinforcement length hr of the reinforcement 20 as variables. The test specimen shown in Figure 4(a) was prepared. Figure 4(b) shows an enlarged view of the portion indicated by "A" in the figure. Two test specimens were prepared, each with reinforcement 20 attached to all four sides of a square steel pipe column 1. The end of each square steel pipe column 1 on the side where the reinforcement 20 was attached was supported by a support member 32. The opposite end of each square steel pipe column 1 was supported by a support member 31. A load was applied to the central support member 32, measurements were performed, and the local buckling characteristics were observed. In addition, a test specimen for "non-reinforcement" in which no reinforcing material 20 was provided was also prepared.

試験は、荷重を単調に与える「単調載荷」と、繰り返し与える「繰返し載荷」の条件にて行った。試験諸元及び試験結果の一覧を図5に示す。また、図6(a)に単調載荷における荷重変形関係の試験結果を示す。図6(b)に繰返し載荷における荷重変形関係の試験結果を示す。補強した場合の最大耐力は無補強に対して同等であり、耐力が元の角形鋼管柱と同等となることを確認した。また、「補強2.3×360」が最も補強効果が高く、変形性能は無補強に対して単調載荷で1.36倍、繰返し載荷で1.60倍となった。今回実施したケースでは補強長さの長い360mmの2体の試験体では巻込型、補強長さの短い240mmの試験体では非巻込型となり、巻込型とした方が変形性能向上に有効であることを確認した。なお、巻込型とは、角形鋼管柱の局部座屈変形を補強材が拘束しながら変形が進行するような変形態様のことである(例えば、図9(a)参照)。非巻込型とは、ダイアフラムと接合される角形鋼管柱の端面から補強材の端部までの補強長さhを超えた無補強部を起点に局部座屈が発生し、変形が進行するような変形態様のことである(例えば、図9(b)参照)。なお、後述の隙間型とは、ダイアフラムと接合される角形鋼管柱の端面から当該端面に近い側の補強材の端部までの隙間Sr内を起点として局部座屈が発生し、変形が進行するような変形態様のことである(例えば、図9(c)参照)。 Tests were conducted under two conditions: monotonic loading (where loads are applied monotonically) and cyclic loading (where loads are applied repeatedly). Figure 5 shows the test specifications and results. Figure 6(a) shows the load-deformation relationship under monotonic loading. Figure 6(b) shows the load-deformation relationship under cyclic loading. The maximum strength of the reinforced specimens was equivalent to that of the unreinforced specimens, confirming that the strength was equivalent to that of the original square steel pipe column. Furthermore, the "2.3 x 360" reinforcement had the highest reinforcement effect, with deformation capacity 1.36 times that of the unreinforced specimen under monotonic loading and 1.60 times that of the unreinforced specimen under cyclic loading. In this case, the two specimens with the longest reinforcement length (360 mm) were encircled, while the specimen with the shortest reinforcement length (240 mm) was unencircled. It was confirmed that the encircled type was more effective in improving deformation capacity. The "encircling" type refers to a deformation mode in which deformation progresses while the reinforcement restrains the local buckling deformation of the square steel pipe column (see, for example, Figure 9(a)). The "non-encircling" type refers to a deformation mode in which local buckling occurs from an unreinforced portion that exceeds the reinforcement length hr from the end face of the square steel pipe column connected to the diaphragm to the end of the reinforcement, and deformation progresses (see, for example, Figure 9(b)). The "gap" type, which will be described later, refers to a deformation mode in which local buckling occurs from a gap Sr from the end face of the square steel pipe column connected to the diaphragm to the end face of the reinforcement closer to the end face, and deformation progresses (see, for example, Figure 9(c)).

次に、図7~図10を参照して、解析試験について説明する。ここでは、角形鋼管柱1の要求性能に対する工法の効果を確認するため、実大試験結果を精緻に再現できるモデルを構築(図7、及び図8(b)(c))の上、補強材20の板厚と補強長さに関するパラメトリックスタディをFEM解析にて実施した。図7は、解析モデルの概要を示す図である。図8(b)(c)は、「補強2.3×360」の条件にて実大試験と解析結果との比較を行った結果を示すグラフである。図8(b)は単調載荷の結果を示し、図8(c)は繰返し載荷の結果を示す。 Next, we will explain the analytical tests with reference to Figures 7 to 10. Here, to confirm the effect of the construction method on the required performance of the square steel pipe column 1, we constructed a model that can precisely reproduce the full-scale test results (Figures 7 and 8(b) and (c)), and then conducted a parametric study on the plate thickness and reinforcing length of the reinforcing material 20 using FEM analysis. Figure 7 is a diagram showing an overview of the analytical model. Figures 8(b) and (c) are graphs showing the results of a comparison between the full-scale test and the analytical results under the condition of "reinforcement 2.3 x 360." Figure 8(b) shows the results of monotonic loading, and Figure 8(c) shows the results of cyclic loading.

解析条件の設定内容について説明する。角形鋼管柱の条件として、「幅厚比D/t=33.3」、「使用鋼管:BCR295」、「せん断スパン比L/2D=5」という条件を設定した。補強材として、矩形でSS400の鋼材のものを採用した。また、「無次元化板厚t/t」のパラメータとして、0.13、0.26、0.36、0.50、0.67(例えば、300×9/t/t=0.5の場合、t=4.5mm)を設定した。「無次元化補強長さh/D」のパラメータとして0.4、0.6、0.8、1.0、1.2(例えば、 300×9/h/D=0.6の場合、h=240mm)を設定した。「幅b=0.5D」、「隙間S=0.2D」は固定とした。また、材料データは実大試験の材料試験結果に基づき設定した。繰返し載荷履歴として、±1δpを1ループ行ったのち、±2δp、±4δpを各2ループ行った(図8(a)参照)。 The analytical conditions were as follows. The conditions for the square steel pipe column were "width-thickness ratio D/t = 33.3,""steel pipe used: BCR295," and "shear span ratio L/2D = 5." Rectangular SS400 steel was used as the reinforcement. The parameters for "non-dimensional plate thickness t r /t" were set to 0.13, 0.26, 0.36, 0.50, and 0.67 (e.g., when 300×9/t r /t = 0.5, t r = 4.5 mm). The parameters for "non-dimensional reinforcement length hr /D" were set to 0.4, 0.6, 0.8, 1.0, and 1.2 (e.g., when 300×9/hr / D = 0.6, hr = 240 mm). The width b r = 0.5D and the gap S r = 0.2D were fixed. The material data was set based on the results of a full-scale material test. The repeated loading history consisted of one loop of ±1δp, followed by two loops of ±2δp and ±4δp (see FIG. 8(a)).

図9は、局部座屈性状(括弧内は補強材の板厚/補強長さの大別がなされている)の解析結果の変形態様を示す図である。図10(a)は、無補強のモデルと補強のモデルとで荷重変形関係を比較した結果を示すグラフである。図10(b)は、補強板板厚・補強長さと変形性能(累積塑性変形倍率ηとの関係(D/t=33.3)を示すグラフである。なお、図10(b)において、「*1」に関し、「構造ランクI」は『鋼材倶楽部;角形鋼管設計研究会報告書1993』に記載されている柱の必要累積塑性変形倍率を示している。「*2」に関し、各部材ランク境界となる幅厚比を持つ解析モデルを作成、FEM解析により導出した参考値を示す。 Figure 9 shows the deformation behavior of the analysis results for local buckling behavior (the values in parentheses are roughly divided into the thickness and length of the reinforcement). Figure 10(a) is a graph showing the results of comparing the load-deformation relationship between an unreinforced model and a reinforced model. Figure 10(b) is a graph showing the relationship between the reinforcement plate thickness and reinforcement length and the deformation capacity (cumulative plastic deformation factor E η A (D/t = 33.3)). Note that in Figure 10(b), "*1" indicates the "Structural Rank I" required for columns as described in the "Kouzai Club: Square Steel Pipe Design Research Group Report 1993." For "*2," an analytical model with a width-thickness ratio that is the boundary between each member rank was created, and reference values derived through FEM analysis are shown.

図9に示すように、無次元化板厚、補強長さの組み合わせに応じて次の三種類の局部座屈性状が観察された。また、補強長さが短い場合は図9(b)に示す非巻込型の性状となった。また、図10(b)より、補強長さがある程度長い場合は図9(a)に示す巻込型、または図9(c)に示す隙間型の性状となった。補強材の板厚が同じであれば、補強効果(累積塑性変形倍率η)は、「(a)巻込型or(c)隙間型>(b)非巻込型」という関係が成り立つ。(b)非巻込型から(a)巻込型or(c)隙間型に初めて移行する補強長さ以上に補強長さを長くしても、補強効果はほぼ頭打ちとなることが確認された。 As shown in Figure 9, the following three types of local buckling behavior were observed depending on the combination of non-dimensional plate thickness and reinforcement length. Furthermore, when the reinforcement length was short, the non-entrapment type behavior was observed, as shown in Figure 9(b). Furthermore, as shown in Figure 10(b), when the reinforcement length was relatively long, the entrapment type behavior was observed, as shown in Figure 9(a), or the gap type behavior was observed, as shown in Figure 9(c). For the same reinforcement thickness, the reinforcement effect (cumulative plastic deformation ratio E η A ) satisfies the following relationship: (a) entrapment type or (c) gap type > (b) non-entrapment type. It was confirmed that even if the reinforcement length is increased beyond the reinforcement length at which the transition from the (b) non-entrapment type to the (a) entrapment type or (c) gap type first occurs, the reinforcement effect almost reaches a plateau.

上述の様な試験や解析から、図11(a)に示すように、「無次元化補強長さh/D」と「無次元化板厚t/t」との関係を示すマップが得られた。図11(b)では、「幅厚比D/t=33.3」「せん断スパン比L/2D=5」「補強材幅b/D=0.5」「隙間S/D=0.2」を代表的な値として設定してマッピングを行っている。当該マップは、図10(b)に示す解析の結果に基づく性能評価と、重量増加率の評価に基づいて作成されている。なお、「重量増加率=(補強材重量)/(角形鋼管柱重量)」で定義される。補強材が複数枚設けられる場合は、複数の補強材の合計重量となる。具体的に、最も濃いグレースケールの領域E2は、性能評価が「構造ランクI(局部座屈)以上」であり、且つ、重量増加率が6%以下のものに分類される領域である。次に濃いグレースケールの領域E3は、性能評価が「構造ランクI(局部座屈)以上」であり、且つ、重量増加率が8%以下のものに分類される領域である。次に濃いグレースケールの領域E4は、性能評価が「FA⇔FB境界(参考)以上」であり、且つ、重量増加率が8%以下のものに分類される領域である。グレースケールが付されていない領域は、それらの何れの条件も満たしていない領域である。角形鋼管柱補強構造100のパラメータとしては、領域E2、E3、E4を含む領域E1内の条件に設定することが好ましい。 From the above-described tests and analyses, a map showing the relationship between the "non-dimensional reinforcement length h r /D" and the "non-dimensional plate thickness t r /t" was obtained, as shown in FIG. 11(a). In FIG. 11(b), the mapping was performed using representative values: "width-thickness ratio D/t = 33.3,""shear span ratio L/2D = 5,""reinforcement width b r /D = 0.5," and "gap S r /D = 0.2." This map was created based on the performance evaluation and weight gain evaluation based on the analysis results shown in FIG. 10(b). The weight gain is defined as "weight gain = (reinforcement weight) / (square steel pipe column weight)." When multiple reinforcements are used, the weight gain is the total weight of the reinforcements. Specifically, the darkest grayscale region E2 corresponds to a region classified as having a performance evaluation of "Structural Rank I (local buckling) or higher" and a weight gain of 6% or less. The next dark grayscale region E3 is a region classified as having a performance evaluation of "Structural Rank I (local buckling) or higher" and a weight increase rate of 8% or less. The next dark grayscale region E4 is a region classified as having a performance evaluation of "FA⇔FB boundary (reference) or higher" and a weight increase rate of 8% or less. Regions without a grayscale region are regions that do not satisfy any of these conditions. It is preferable to set the parameters of the square steel pipe column reinforced structure 100 to the conditions within region E1, which includes regions E2, E3, and E4.

上述のようなマッピングに基づいて、角形鋼管柱補強構造100の補強仕様の有効範囲を設定した。前述のマッピングの結果から、領域E1に入るためには、「無次元化補強長さh/D」は、0.6以上であることが必要である。よって、有効範囲は、(h/D ≧ 0.6)という関係が成り立つ。また、領域E1に入るためには、重量増加率は8%以下であることが必要である。従って、「重量増加率=(補強材重量)/(角形鋼管柱重量)…(*)」の関係式を各パラメータで示すと、式(3)のように示される。式(3)を、「幅厚比D/t=33.3」「せん断スパン比L/2D=5」「補強材幅b/D=0.5」「隙間S/D=0.2」を用いて整理すると共に、「重量増加率8%以下」を有効範囲とすることで、式(4)の関係が得られる。なお、角形鋼管の断面積Aの値はサイズ毎に異なるが、サイズが異なっていてもほぼ相似形であるため、D、t、Aの具体値を代入た後は同じ式、すなわち式(4)となる。これを更に整理することで、式(1)が得られる。よって、角形鋼管柱補強構造100の補強仕様として、式(1)が成り立っていることが好ましい。


Based on the above-described mapping, the effective range of the reinforcement specifications for the steel box column-reinforced structure 100 was determined. From the results of the mapping, to fall within region E1, the "dimensionless reinforcement length h r /D" must be 0.6 or greater. Therefore, the effective range is (h r /D ≧ 0.6). To fall within region E1, the weight gain must be 8% or less. Therefore, the relationship "weight gain = (reinforcement weight) / (steel box column weight)...(*)" can be expressed using each parameter as shown in Equation (3). By rearranging Equation (3) using the "width-thickness ratio D/t = 33.3,""shear span ratio L/2D = 5,""reinforcement width b r /D = 0.5," and "gap S r /D = 0.2," and by defining the "weight gain of 8% or less" as the effective range, the relationship shown in Equation (4) can be obtained. Although the cross-sectional area A of the square steel pipe varies depending on the size, the shapes are nearly similar even when the sizes are different. Therefore, after substituting the specific values of D, t, and A, the same formula, namely, formula (4), is obtained. Further rearrangement of this formula yields formula (1). Therefore, it is preferable that formula (1) holds true as the reinforcement specification for the square steel pipe column reinforced structure 100.


また、図11(a)に示すように、角形鋼管柱補強構造100の補強仕様として、領域E2が最も好ましく、領域E3が次に好ましく、領域E4が次に好ましい。従って、領域E2又は領域E3の範囲となるように、(h/D ≧ 0.8)の関係が成り立つことが好ましい。また、領域E2又は領域E3の範囲となるように、 (t/t ≧ 0.26)の関係が成り立つことが好ましい。また、領域E2の範囲となるように、式(4)の重量増加率を6%以下とすることで、以下の式(2)が成り立つことが好ましい。
11(a), as the reinforcement specifications for the square steel pipe column reinforced structure 100, region E2 is most preferable, region E3 is next preferable, and region E4 is next preferable. Therefore, it is preferable that the relationship ( hr /D ≧ 0.8) holds so as to fall within the range of region E2 or region E3. It is also preferable that the relationship ( tr /t ≧ 0.26) holds so as to fall within the range of region E2 or region E3. It is also preferable that the weight gain rate in formula (4) be 6% or less so as to fall within the range of region E2, so that the following formula (2) holds.

本実施形態に係る角形鋼管柱補強構造100の作用・効果について説明する。 The following describes the functions and effects of the square steel pipe column reinforcement structure 100 according to this embodiment.

角形鋼管柱補強構造100は、角形鋼管柱1と、角形鋼管柱1の側壁部10の外面及び内面の少なくとも一方に対して、角形鋼管柱1の長手方向の端面1a,1bから離間する位置に設けられた板状の補強材20と、を備え、角形鋼管柱1の径をDとし、角形鋼管柱1の板厚をtとし、端面から補強材20の端部20aまでの補強長さをhとし、補強材20の板厚tとした場合、(h/D ≧ 0.6)の関係、及び式(1)の関係が成り立つ。
The square steel pipe column reinforcement structure 100 comprises a square steel pipe column 1 and a plate-shaped reinforcing member 20 provided on at least one of the outer surface and inner surface of the side wall portion 10 of the square steel pipe column 1 at a position spaced apart from the longitudinal end faces 1 a, 1 b of the square steel pipe column 1, and when the diameter of the square steel pipe column 1 is D, the plate thickness of the square steel pipe column 1 is t, the reinforcing length from the end face to the end 20 a of the reinforcing member 20 is hr , and the plate thickness of the reinforcing member 20 is t , the relationship ( hr /D ≧ 0.6) and the relationship of formula (1) hold.

この角形鋼管柱補強構造100では、補強する角形鋼管柱1に応じた適切な補強材サイズの選定によって、角形鋼管柱1の局部座屈は許容するが当該座屈変形を適度に拘束することで、局部座屈後の耐力低下を緩やかにし、変形性能を向上させることができる。また、角形鋼管柱1の局部座屈が発生しうる端部に補強を限定することで、工数の大幅な増加を避けることができる。また、補強材20を角形鋼管柱1の長手方向の端面から一定の間隔をあけて取り付けることで、周辺部材の設計への影響を伴うような、角形鋼管柱1の過度な耐力上昇を防ぐことができる。補強材20は板状の構成を有しているため、角形鋼管柱1の表面からの補強材20の突出量が小さいため、壁材との取り合いに対する影響を低減できる。また、(h/D ≧ 0.6)の関係を満たすことで、補強長さを十分に確保することで、角形鋼管柱1に求められる性能を確保することができる。また、式(1)の関係が成り立つため、重量の過度な増加を抑制できる。以上より、シンプルな構造であり、且つ重量を抑制した構造にて、角形鋼管柱1の性能を向上できる。 In this square steel pipe column reinforcement structure 100, by selecting an appropriate reinforcement size according to the square steel pipe column 1 to be reinforced, local buckling of the square steel pipe column 1 is permitted while the buckling deformation is moderately restrained, thereby mitigating the decrease in strength after local buckling and improving deformability. Furthermore, by limiting reinforcement to the end of the square steel pipe column 1 where local buckling may occur, a significant increase in labor costs can be avoided. Furthermore, by attaching the reinforcement 20 at a certain distance from the longitudinal end face of the square steel pipe column 1, an excessive increase in strength of the square steel pipe column 1 that would affect the design of surrounding components can be prevented. Because the reinforcement 20 has a plate-like structure, the amount of protrusion of the reinforcement 20 from the surface of the square steel pipe column 1 is small, thereby reducing the impact on the interface with the wall material. Furthermore, by satisfying the relationship ( hr /D ≧ 0.6), the reinforcement length can be sufficiently secured, thereby ensuring the performance required of the square steel pipe column 1. Furthermore, since the relationship of formula (1) holds, an excessive increase in weight can be suppressed. As described above, the performance of the square steel pipe column 1 can be improved with a simple structure and a structure in which the weight is suppressed.

角形鋼管柱補強構造100では、(h/D ≧ 0.8)の関係が成り立ってよい。この場合、更に角形鋼管柱1に求められる性能を確保することができる。 In the square steel pipe column reinforced structure 100, the relationship ( hr /D≧0.8) may be established. In this case, the performance required of the square steel pipe column 1 can be further ensured.

角形鋼管柱補強構造100では、(t/t ≧ 0.26)の関係が成り立ってよい。この場合、更に角形鋼管柱1に求められる性能を確保することができる。 In the square steel pipe column reinforced structure 100, the relationship (t r /t ≧ 0.26) may be established. In this case, the performance required of the square steel pipe column 1 can be further ensured.

角形鋼管柱補強構造100では、式(2)の関係が成り立ってよい。この場合、重量の過度な増加を更に抑制することができる。
In the steel pipe column reinforced structure 100, the relationship of formula (2) may be established. In this case, excessive weight increase can be further suppressed.

角形鋼管柱補強構造100は、角形鋼管柱1と、角形鋼管柱1の側壁部10の外面及び内面の少なくとも一方に対して、角形鋼管柱1の長手方向の端面から離間する位置に設けられた板状の補強材20と、を備え、角形鋼管柱1の径をDとし、端面から補強材20の端部20aまでの補強長さをhとした場合、(h/D ≧ 0.6)の関係、及び(重量増加率=(補強材重量)/(角形鋼管柱重量)≦0.08)の関係が成り立つ。 The square steel pipe column reinforcement structure 100 comprises a square steel pipe column 1 and a plate-shaped reinforcing member 20 provided on at least one of the outer surface and inner surface of the side wall portion 10 of the square steel pipe column 1 at a position spaced apart from the longitudinal end face of the square steel pipe column 1. When the diameter of the square steel pipe column 1 is D and the reinforcement length from the end face to the end 20a of the reinforcing member 20 is hr , the relationships ( hr /D ≧ 0.6) and (weight increase rate = (reinforcement weight)/(square steel pipe column weight) ≦ 0.08) hold.

(h/D ≧ 0.6)の関係を満たすことで、補強長さを十分に確保することで、角形鋼管柱1に求められる性能を確保することができる。また、(重量増加率=(補強材重量)/(角形鋼管柱重量)≦0.08)の関係が成り立つため、重量の過度な増加を抑制できる。以上より、シンプルな構造であり、且つ重量を抑制した構造にて、角形鋼管柱の性能を向上できる。 By satisfying the relationship ( hr /D ≧ 0.6), the reinforcement length is ensured sufficiently, thereby ensuring the performance required of the square steel pipe column 1. Furthermore, since the relationship (weight increase rate = (reinforcement weight) / (square steel pipe column weight) ≦ 0.08) holds, excessive weight increase can be suppressed. As described above, the performance of the square steel pipe column can be improved with a simple structure that suppresses weight.

本発明は、上述の実施形態に限定されるものではない。上述の実施形態で説明した寸法は一例にすぎず、本発明の趣旨を逸脱しない範囲で適宜変更してよい。 The present invention is not limited to the above-described embodiments. The dimensions described in the above embodiments are merely examples and may be modified as appropriate without departing from the spirit of the present invention.

例えば、補強材20の形状は、上述の実施形態に限定されない。例えば、図12に示すものが採用されてよい。図12では、一つの側壁部10に設けられる補強材20が二つに分割されている。なお、分割数や分割方法は特に限定されない。 For example, the shape of the reinforcing member 20 is not limited to the above-described embodiment. For example, the shape shown in Figure 12 may be adopted. In Figure 12, the reinforcing member 20 provided on one side wall portion 10 is divided into two. Note that the number of divisions and the division method are not particularly limited.

1…角形鋼管柱、10…側壁部、20…補強材、100…角形鋼管柱補強構造。

1...square steel pipe column, 10...side wall portion, 20...reinforcement material, 100...square steel pipe column reinforcement structure

Claims (4)

角形鋼管柱と、
前記角形鋼管柱の側壁部の外面及び内面の少なくとも外面に対して、前記角形鋼管柱の長手方向の端面から離間する位置に設けられた板状の補強材と、を備え、
前記角形鋼管柱の径をDとし、
前記角形鋼管柱の板厚をtとし、
前記端面から前記補強材の端部までの補強長さをhとし、
前記補強材の板厚をtとした場合、(h/D ≧ 0.6)の関係、及び式(1)の関係が成り立ち、
前記角形鋼管は、降伏点または耐力の規格下限値が295N/mmであり、幅厚比D/tが33.3であり、せん断スパン比L/2Dが5であり、
前記補強材は、矩形のSS400の鋼材であり、幅bが0.5Dであり、前記角形鋼管柱の前記端面から前記補強材までの隙間Sが0.2Dであり、
前記補強材を、前記角形鋼管の四方の外面において、それぞれ幅方向の中央位置に固定した、角形鋼管柱補強構造。

Square steel pipe column,
a plate-shaped reinforcing member provided on at least the outer surface of the outer surface and the inner surface of the side wall portion of the square steel pipe column at a position spaced from the end face in the longitudinal direction of the square steel pipe column,
The diameter of the square steel pipe column is D,
The plate thickness of the square steel pipe column is t,
The reinforcement length from the end face to the end of the reinforcing material is defined as hr ,
When the plate thickness of the reinforcing material is t r , the relationship of (h r /D ≧ 0.6) and the relationship of formula (1) are established,
The square steel pipe has a yield point or a lower limit of the proof stress of 295 N/ mm2 , a width-thickness ratio D/t of 33.3, and a shear span ratio L/2D of 5,
The reinforcing material is a rectangular SS400 steel material, has a width b r of 0.5D, and a gap S r from the end face of the square steel pipe column to the reinforcing material is 0.2D,
A square steel pipe column reinforcement structure in which the reinforcing material is fixed at the center position in the width direction on each of the four outer surfaces of the square steel pipe.

(h/D ≧ 0.8)の関係が成り立つ、請求項1に記載の角形鋼管柱補強構造。 The square steel pipe column reinforced structure according to claim 1, wherein the relationship ( hr /D≧0.8) is satisfied. (t/t ≧ 0.26)の関係が成り立つ、請求項1又は2に記載の角形鋼管柱補強構造。 The square steel pipe column reinforced structure according to claim 1 or 2, wherein the relationship (t r /t ≧ 0.26) is satisfied. 式(2)の関係が成り立つ、請求項1~3の何れか一項に記載の角形鋼管柱補強構造。



The square steel pipe column reinforced structure according to any one of claims 1 to 3, wherein the relationship of formula (2) holds.



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Citations (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2012136929A (en) 2010-12-06 2012-07-19 Nippon Steel Corp Structure for reinforcing square steel pipe column

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* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2012136929A (en) 2010-12-06 2012-07-19 Nippon Steel Corp Structure for reinforcing square steel pipe column

Non-Patent Citations (3)

* Cited by examiner, † Cited by third party
Title
岩崎(「崎」はたつさき)祐介ほか,局部座屈により耐力劣化した角形鋼管柱の損傷評価と補修,日本建築学会近畿支部研究報告集 構造系,pp.441-444,日本,2015年06月
森 健士郎ほか,局部座屈が生じた角形鋼管部材の補修方法と補修後性能に関する実験的研究,日本建築学会技術報告集,第22巻 第52号,日本,2016年10月,pp.971-976
田中淳夫ほか,幅厚比の大きな柱材の震災復旧法および耐震補強法に関する実験的研究,構造工学論文集,Vol.36B,日本,1990年03月,pp.377-384

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