JP5510597B1 - Circular ring reinforcing beam member - Google Patents

Circular ring reinforcing beam member Download PDF

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JP5510597B1
JP5510597B1 JP2013131225A JP2013131225A JP5510597B1 JP 5510597 B1 JP5510597 B1 JP 5510597B1 JP 2013131225 A JP2013131225 A JP 2013131225A JP 2013131225 A JP2013131225 A JP 2013131225A JP 5510597 B1 JP5510597 B1 JP 5510597B1
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circular ring
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JP2015004249A (en
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敏郎 鈴木
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株式会社 構造材料研究会
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Abstract

【課題】せん断曲げを受ける薄板構成の梁に対し、面内せん断を受けるウェブの耐力低下を防ぎ且つフランジ降伏後の梁の曲げ耐力を維持し、塑性変形能力の向上を図る。
【解決手段】ウェブの両端にフランジを有する梁について、ウェブの片側面に円形環3と左右に縦スティフナー4とを設けてこれを梁の長手方向に任意区間毎に複数個配し、円形環内側のウェブを引張応力面とし且つ周辺を囲む部材とトラス的力の釣合い場を構成する。更に前記ウェブの逆側面に上下フランジと並行してL形断面乃至矩形断面の部材5を配し、前記断面の一端を円形環の円弧に沿うようにウェブ1に添接するとともに他端をフランジ2に添接して断面隅部に四角形乃至三角形の管状体を形成し、断面板要素の局部座屈変形を抑えるとともに梁部材の捩り剛性を上げて塑性変形能力の高い梁部材とする。
【選択図】図1
An object of the present invention is to improve the plastic deformation capacity of a beam having a thin plate structure subjected to shear bending by preventing a decrease in yield strength of a web subjected to in-plane shear and maintaining the bending strength of the beam after flange yielding.
For a beam having flanges at both ends of a web, a circular ring 3 is provided on one side of the web, and vertical stiffeners 4 are provided on the left and right sides. The inner web is used as a tensile stress surface and the surrounding member and a truss-like force balance field are formed. Further, a member 5 having an L-shaped cross section or a rectangular cross section is disposed on the opposite side of the web in parallel with the upper and lower flanges, and one end of the cross section is attached to the web 1 along the circular arc of the circular ring and the other end is flange 2. A rectangular or triangular tubular body is formed at the corner of the cross-section to suppress the local buckling deformation of the cross-section plate element, and the torsional rigidity of the beam member is increased to obtain a beam member having a high plastic deformation capability.
[Selection] Figure 1

Description

本発明はせん断曲げを受けるウェブの両端にフランジを有する梁部材に関するもので、加わるせん断力に対しウェブのせん断座屈に伴う耐力低下を回避し、フランジ降伏後も梁の塑性曲げモーメントを維持して梁の塑性変形能力を高めることを意図するものである。特に、薄板で構成される梁部材に対する最適な形状を提案し且つ出来るだけ簡単な補強構造とする。   The present invention relates to a beam member having flanges at both ends of a web subjected to shear bending, avoiding a decrease in yield strength due to the shear buckling of the web against the applied shear force, and maintaining the plastic bending moment of the beam even after the flange yields. This is intended to increase the plastic deformation capacity of the beam. In particular, an optimum shape for a beam member made of a thin plate is proposed and a reinforcement structure as simple as possible is provided.

部材両端から逆対称曲げモーメントを受ける梁部材について、面内せん断を受けるウェブのせん断座屈に対する補強方法と材端部近傍のフランジ降伏耐力の維持に関する補強方法とについてはこれまで多く提案されているものの、ウェブとフランジとを個別の視点で取扱われることが多く、梁降伏後の力学挙動としては両者に跨る要因があるために対応するに問題があった。   There have been many proposals for reinforcement methods for shear buckling of webs subjected to in-plane shear and for maintaining flange yield strength near the ends of beam members subjected to antisymmetric bending moments from both ends. However, the web and the flange are often handled from different viewpoints, and the mechanical behavior after the beam yielding has a problem in dealing with it because there are factors that straddle both.

一般的に部材両端部から降伏が進行する梁について、塑性化に伴うウェブの耐力維持に関しては板厚を上げるために降伏点の低い鋼材を使用することやウェブ面を補強してせん断座屈を回避することにより対応し、降伏後のフランジの耐力維持に関しては幅厚比を小さく制限することが主であり、梁端部の接合部位を工夫するもの等降伏後の曲げ耐力の維持を意図する試みが見られる。   In general, for beams where yielding progresses from both ends of the member, in order to maintain the proof strength of the web as a result of plasticization, use a steel material with a low yield point to increase the plate thickness, or reinforce the web surface for shear buckling. In order to maintain the yield strength of the flange after yielding, the width-to-thickness ratio is mainly restricted to a small size, and the bending strength after yielding is intended to be maintained, such as by devising the joint part of the beam end. An attempt is made.

特開 平06−017507 公開特許公報Japanese Patent Laid-Open No. 06-017507 特開 平10−220061 公開特許公報Japanese Patent Laid-Open No. 10-220061 特開2002−173977 公開特許公報Japanese Patent Application Laid-Open No. 2002-173977 特開2003−064901 公開特許公報Japanese Patent Application Laid-Open No. 2003-064901 特開2008−133694 公開特許公報JP 2008-133694 A 特開2011−113264 公開特許公報Japanese Patent Application Laid-Open No. 2011-113264 特開2011−202424 公開特許公報Japanese Patent Application Laid-Open No. 2011-202424

解決しようとする課題は、せん断曲げを受ける梁について、面内せん断を受けるウェブのせん断座屈に伴う耐力低下を回避し且つ梁両材端部から進行するフランジの塑性化に対しては降伏後に梁の塑性曲げ耐力を維持し得るようにすることである。特に、ウェブのせん断とフランジの曲げに対し相互に関連する平板座屈として捉え、可能な限り薄板で構成し且つ塑性変形能力の高い梁部材とする。   The problem to be solved is for the beam subjected to shear bending to avoid the decrease in yield strength due to the shear buckling of the web subjected to in-plane shear, and to the plasticization of the flange proceeding from both ends of the beam after yielding. It is to be able to maintain the plastic bending strength of the beam. In particular, it is regarded as a flat plate buckling that is mutually related to the shearing of the web and the bending of the flange, and is made of a thin plate as much as possible and has a high plastic deformation capability.

面内せん断を受けるウェブが座屈変形の成長にも耐力低下しないよう、ウェブ面に円形環を添接して補強することを基本とする。円形環を金属平板に添接することで円形環で囲まれるウェブは引張主応力が支配する領域とし、さらに円形環両側近傍に縦スティフナーを配し上下フランジとともに周辺を囲みトラス的力の釣合場を構成する。   Basically, the web surface subjected to in-plane shear is reinforced by attaching a circular ring to the web surface so that the yield strength does not decrease even during the buckling deformation growth. The web surrounded by the circular ring is attached to the metal plate by attaching the circular ring to the region where the principal tensile stress dominates.Furthermore, a vertical stiffener is placed near both sides of the circular ring to surround the periphery with the upper and lower flanges, and the truss-like force balance field. Configure.

ウェブの片側面に円形環とその両側の縦スティフナーとを梁の長手方向に任意区間毎に添接し、前記裏側面に上下フランジと並行してL形断面乃至矩形断面の部材を配して断面隅部から略等距離に前記部材断面の一端をウェブに且つ他端をフランジに添接し、ウェブとフランジとを緊結して部材断面を構成する板要素相互の安定化を図る。   A circular ring and vertical stiffeners on both sides of the web are attached to each side in the longitudinal direction of the beam on one side of the web, and an L-shaped or rectangular cross-section member is arranged on the back side in parallel with the upper and lower flanges. One end of the cross section of the member is brought into contact with the web and the other end of the member at a substantially equal distance from the corner, and the web and the flange are fastened to stabilize the plate elements constituting the cross section of the member.

せん断曲げによる梁の全体座屈即ち捩り座屈に対しウェブ面に連続する複数の円形環は捩りに強く、断面隅部の補強によりできる四角形乃至三角形の管状体の効果も加わることで梁の曲げ捩り剛性を上げ全体座屈が回避される。なお、フランジは矩形断面以外にフランジ先端部にリブを設けるみぞ形断面としてフランジの薄板化をも意図している。   The multiple circular rings that are continuous on the web surface against the overall buckling or torsional buckling of the beam due to shear bending are resistant to torsion, and the effect of a rectangular or triangular tubular body formed by reinforcing the corners of the cross section is also added to bend the beam. Increases torsional rigidity and avoids overall buckling. In addition to the rectangular cross section, the flange is intended as a groove-shaped cross section in which a rib is provided at the front end of the flange to make the flange thinner.

図13(a)は円形環に囲まれた円形金属平板の面内応力の釣合いを示す模式図であり、円形環枠からせん断力が作用すると円形環と共に円形金属平板は斜め45度方向を長軸・短軸とする楕円形に変形する。面内せん断に伴う点線矢印の圧縮主応力−σは円形環の部材軸力σcと釣合い、加力の初期段階から塑性変形領域に至るまで実線矢印の引張主応力+σが支配する張力場となる。 FIG. 13A is a schematic diagram showing a balance of in-plane stresses of a circular metal plate surrounded by a circular ring. When a shearing force is applied from the circular ring frame, the circular metal plate along with the circular ring extends in an oblique 45 degree direction. Deforms into an ellipse with a short axis The compressive principal stress -σ of the dotted arrow due to in-plane shear is balanced with the axial force σ c of the circular ring, and the tension field controlled by the tensile principal stress + σ of the solid arrow from the initial stage of the applied force to the plastic deformation region Become.

図13(b)は円形環が捩りを受ける場合で、部材が捩り剛性の低い矩形断面であっても円弧形状であることから回転変形が拘束されて捩り剛性が極めて高くなることと等価であり、円形環を一定区間毎に配してウェブ及びフランジとを連続して結ぶことは断面構成板要素の局部座屈だけでなく部材全体の曲げ捩り座屈に対しても有効で、降伏後の梁の曲げ耐力維持に繋がる。   FIG. 13 (b) shows a case where the circular ring receives torsion, and even if the member has a rectangular cross section with low torsional rigidity, it is equivalent to the fact that the torsional rigidity becomes extremely high because rotational deformation is constrained. In addition, it is effective not only for local buckling of the cross-section component plate element but also for bending torsional buckling of the entire member, by arranging a circular ring for every fixed section and connecting the web and flange continuously. It leads to the bending strength maintenance of the beam.

ウェブ面に設ける円形環はウェブ板厚を薄くする上で効果があるが、更に円形環を利用し断面板要素の交差部を補強することでフランジの薄板化を図る。矩形断面のフランジに加え先端部に突出するリブのあるフランジとする梁部材が可能となり、フランジがウェブの片側一方向に突出するみぞ形断面梁に対しても塑性変形能力の高い安定した梁とすることができる。   Although the circular ring provided on the web surface is effective in reducing the web plate thickness, the flange is made thinner by reinforcing the crossing portion of the cross-sectional plate elements using the circular ring. A beam member having a flange with a rib protruding at the tip in addition to a flange with a rectangular cross section is possible, and a stable beam having a high plastic deformation capability even with a groove-shaped cross-section beam in which the flange protrudes in one direction on one side of the web. can do.

ウェブに円形環を配し且つフランジとの隅部を補強する梁の代表図である。It is a typical view of the beam which arrange | positions a circular ring on a web and reinforces the corner | angular part with a flange. フランジ曲げ降伏とウェブせん断降伏との弾塑性力学挙動の説明図である。It is explanatory drawing of the elastoplastic mechanical behavior of a flange bending yield and a web shear yield. フランジ曲げ降伏が先行支配する場合での弾塑性力学挙動の説明図である。It is explanatory drawing of the elastoplastic mechanical behavior in case a flange bending yield predominates. 円形環内側領域に同心円となる円形穴を設けたウェブ面上の配置図である。It is a layout view on a web surface in which circular holes that are concentric circles are provided in a circular ring inner region. 梁両端部近傍の開口部上下の断面隅部の補強と力学的効果の説明図である。It is explanatory drawing of reinforcement of the cross-sectional corner above and below the opening part of a beam both ends part, and a mechanical effect. ウェブの円形環連続補強と両端部塑性化領域での局所補強の構成図である。It is a block diagram of circular reinforcement of a web and local reinforcement in both end plasticization regions. フランジ降伏後の塑性曲げ耐力の維持と梁の塑性変形能力の説明図である。It is explanatory drawing of the maintenance of the plastic bending strength after a flange yield, and the plastic deformation capability of a beam. フランジ先端部にリブを設ける梁の断面隅部対称補強とする構成図である。It is a block diagram which considers the cross-sectional corner symmetrical reinforcement of the beam which provides a rib at the flange front-end | tip part. 薄板で構成されるH形断面梁の力学的挙動と塑性変形能力の説明図である。It is explanatory drawing of the mechanical behavior and plastic deformation capability of the H-shaped cross section beam comprised with a thin plate. みぞ形断面梁部材に対する円形環補強と断面隅部補強との構成図である。It is a block diagram of circular ring reinforcement and cross-sectional corner reinforcement for a groove-shaped cross-section beam member. 梁両端部近傍の塑性化領域に限定し円形環補強する場合の説明図である。It is explanatory drawing in the case of carrying out circular ring reinforcement limited to the plasticization area | region of beam both ends vicinity. ウェブ円形環内側領域に円形穴を設ける弾塑性力学挙動の説明図である。It is explanatory drawing of the elastoplastic mechanical behavior which provides a circular hole in a web circular ring inner side area | region. 円形環で囲まれた平板の面内応力と捩りを受ける円形環の模式図である。It is a schematic diagram of the circular ring which receives the in-plane stress and twist of the flat plate enclosed by the circular ring.

図1(a)は梁部材のウェブ面を正面から示したもので、ウェブの片側面に円形環3と左右に近接する縦スティフナー4とを設けこれを梁の長手方向の任意区間毎に複数個配してウェブを補強する。円形環を添接することで円形環内側のウェブを引張応力面とし、円形環を中にフランジと縦スティフナーとで周辺を囲みウェブ面の斜め引張力とトラス的力の釣合い場を構成する。   FIG. 1A shows the web surface of a beam member from the front. A circular ring 3 and vertical stiffeners 4 adjacent to the left and right are provided on one side of the web. Individually reinforce the web. By attaching the circular ring, the web inside the circular ring is used as a tensile stress surface, and the circular ring is surrounded by a flange and a vertical stiffener to form a balance field between the oblique tensile force and the truss force of the web surface.

図1(b)は前記補強のウェブ逆側面を示したもので、上下フランジと平行にL形断面乃至矩形断面の部材5を配し且つ部材断面の一端を円形環の円弧に沿うようにウェブに添接するとともに他端をフランジにも添接して断面隅部に四角形乃至三角形の管状体を設け、これを梁の両端部近傍乃至全長に亘って配して梁部材を構成する。   FIG. 1 (b) shows the reverse side surface of the reinforcing web, in which a member 5 having an L-shaped cross section or a rectangular cross section is arranged in parallel with the upper and lower flanges, and one end of the member cross section is along the circular arc of the circular ring. In addition, the other end is also attached to the flange, and a rectangular or triangular tubular body is provided at the corner of the cross section, and this is disposed over both ends of the beam or over the entire length to constitute a beam member.

図8は梁ウェブの両端にあるフランジ2が断面先端部に突出リブを設けた場合で、連続する円形環の円弧上下に沿うように且つウェブ面を対称としてフランジと並行して断面隅部を補強部材5でV字形の管状体を構成する。断面隅部を補強することによりウェブとともにフランジについても板の薄板化を図ることができ、大スパンの梁に対し塑性変形能力の高い薄板断面梁となる。   FIG. 8 shows the case where the flanges 2 at both ends of the beam web are provided with protruding ribs at the tip of the cross section, and the cross section corners are formed in parallel with the flange so that the web surface is symmetrical along the circular arc of the continuous circular ring. The reinforcing member 5 constitutes a V-shaped tubular body. By reinforcing the corners of the cross section, it is possible to reduce the thickness of the plate as well as the flange of the web, so that a thin plate cross-section beam having a high plastic deformation capability with respect to a large-span beam.

図10はウェブ面の片側方向にフランジのある所謂みぞ形断面梁7で、断面内側の隅部を補強部材5で三角形の管状体を構成し且つウェブ面に円形環3と縦スティフナー4とを設ける。捩りに弱いみぞ形断面梁に対し部材全長に亘る断面隅部に構成される管状体が有効に働く。冷間成形部材ではフランジと同厚となるウェブが強く、円形環補強を梁両端部に限る(a)図、同心円となる開口穴を設ける(b)図が考えられる。   FIG. 10 shows a so-called groove-shaped cross-section beam 7 having a flange on one side of the web surface. A triangular tubular body is formed by a reinforcing member 5 at a corner inside the cross-section, and a circular ring 3 and a vertical stiffener 4 are formed on the web surface. Provide. A tubular body formed at the cross-sectional corner over the entire length of the member works effectively with respect to the groove-shaped cross-section beam that is weak against torsion. In the cold-formed member, the web having the same thickness as the flange is strong, and a circular ring reinforcement is limited to both ends of the beam (a), and a concentric opening hole is provided (b).

図1にはウェブの片側面(a)図に円形環3と両側の縦スティフナー4を部材長手方向に等間隔で5ケ所に配し、前記逆側面(b)図のウェブ上下にフランジと並行し且つ円形環の円弧と重なるようにL字形乃至矩形断面部材5の一端をウェブに又他端をフランジに添接し、断面隅部に四角形乃至三角形の管状体を部材全長に亘って設け梁を構成する。   In FIG. 1, the circular ring 3 and the vertical stiffeners 4 on both sides of the web are arranged at five positions at equal intervals in the longitudinal direction of the member on the one side (a) of the web, and parallel to the flange on the upper and lower sides of the reverse side (b). In addition, one end of the L-shaped or rectangular cross-section member 5 is attached to the web and the other end is attached to the flange so as to overlap with the circular arc of the circular ring, and a rectangular or triangular tubular body is provided over the entire length of the member at the corner of the cross section. Configure.

梁せい900mmに対し径720mmの円形環と左右に縦スティフナーを幅900mmで配して正方形に囲み、梁スパンに応じ前記外側の領域幅で調節する。ウェブ裏側面の断面隅部に略同じ断面積のL形断面75mmx75mmx9mm乃至矩形断面105mmx12mmの部材を添接して梁部材を構成する。なお、円形環及びスティフナーの断面は100mmx12mmとする。   A circular ring with a diameter of 720 mm and a left and right vertical stiffener with a width of 900 mm are enclosed in a square with respect to 900 mm of the beam, and the outer region width is adjusted according to the beam span. A beam member is configured by attaching a member having an L-shaped cross section of 75 mm x 75 mm x 9 mm to a rectangular cross section of 105 mm x 12 mm having substantially the same cross-sectional area at the cross-sectional corner of the back side surface of the web. The cross section of the circular ring and stiffener is 100 mm x 12 mm.

図2は材長7,200mmの梁で、実線は矩形断面300mmx19mmのフランジでウェブの上下隅部にL形断面部材で四角形の管状体を設けた場合、点線はみぞ形断面300mmx90mmx10mmx15mmのフランジでウェブの上下隅部に帯板を斜めに添接し三角形の管状体を設けた場合、ウェブ板厚6.0mm,4.5mm,3.2mmに対する結果である。縦軸は塑性曲げモーメントMp,横軸は端部変形角で示すが、薄い板厚ではウェブのせん断降伏が先行し曲げ耐力は低下する。 Figure 2 shows a beam with a length of 7,200mm. The solid line is a flange with a rectangular cross section of 300mmx19mm. When a rectangular tubular body is provided with an L-shaped cross section at the upper and lower corners of the web, the dotted line is a flange with a grooved cross section of 300mmx90mmx10mmx15mm. The results for web plate thicknesses of 6.0 mm, 4.5 mm, and 3.2 mm are obtained when a strip is obliquely attached to the upper and lower corners and a triangular tubular body is provided. The vertical axis indicates the plastic bending moment M p , and the horizontal axis indicates the end deformation angle, but with a thin plate thickness, the shear yield of the web precedes and the bending strength decreases.

図3は材長9,000mmの梁で、円形環を中心に縦スティフナーで囲まれた領域が900mm幅であるのに対して外側領域も同一幅となるため450mm幅に2分する。円形環を含む領域のせん断座屈に伴う幅厚比は円形環の直径幅720mmで換算され、それ以外のウェブ領域の間隔は前記値を若干下回ればよい。ウェブ板厚6.0mm,4.5mmはフランジ降伏が又3.2mmはせん断降伏が先行するが、全て高い塑性変形能力を示す。   FIG. 3 shows a beam with a length of 9,000 mm. The area surrounded by the vertical stiffener around the circular ring is 900 mm wide, while the outer area is also the same width, so it is divided into 450 mm width. The width-thickness ratio accompanying the shear buckling of the region including the circular ring is converted to the diameter width of the circular ring of 720 mm, and the interval between the other web regions may be slightly less than the above value. Web sheet thicknesses of 6.0mm and 4.5mm are preceded by flange yielding and 3.2mm by shear yielding, but all exhibit high plastic deformation capacity.

図4は実施例1と同じ構成の梁であるが、円形環内側領域に同心円となる任意径の円形穴6を設ける。本例では梁せいの50%で450mm径の円形穴としたが、梁両端部塑性化領域では円形環上下には断面隅部の補強材をウェブの両面に配してフランジを補強する。円形環内側のウェブ面は引張応力状態にあるため、円形穴周りは原則補強する必要はない。   FIG. 4 shows a beam having the same configuration as that of the first embodiment, but a circular hole 6 having an arbitrary diameter which is a concentric circle is provided in a circular ring inner region. In this example, a circular hole with a diameter of 450 mm, which is 50% of the beam, is used, but in the plasticized region at both ends of the beam, reinforcing members at the corners of the cross section are arranged on both sides of the web above and below the circular ring to reinforce the flange. Since the web surface inside the circular ring is in a tensile stress state, it is not necessary to reinforce around the circular hole in principle.

図5は材長9,000mmの梁に対し、実線は矩形断面300mmx19mmのフランジ,点線はみぞ形断面300mmx90mmx10mmx15mmのフランジで、ウェブ板厚6.0mm,4.5mm,3.2mmの結果である。断面隅部の補強材は断面105mmx6mmと前例に比し1/2板厚とし梁両端の円形環上下にも添接しV字形に補強した。図3の結果と比較してウェブに円形穴を設けた本例の方が降伏後より安定しており、ウェブ面両側からの隅部補強は有効であることが判る。   Fig. 5 shows the results of web thickness of 6.0mm, 4.5mm, and 3.2mm for a 9,000mm-long beam, solid line is a flange with a rectangular cross section of 300mmx19mm, dotted line is a groove with a grooved cross section of 300mmx90mmx10mmx15mm. The reinforcing material at the corners of the cross section was 105 mm × 6 mm in cross section and was 1/2 the plate thickness as compared with the previous example. Compared with the result of FIG. 3, it can be seen that the present example in which the circular holes are provided in the web is more stable after yielding, and corner reinforcement from both sides of the web surface is more effective.

円形環内側のウェブに同心円となる円形穴を設ける場合、その部材のせん断耐力は円形穴中心線上の最小断面で決まる値とはならず、部材全長に亘るウェブ面積に対する断面欠損比率として換算する必要がある。この場合円形穴を囲む梁せいと同じ幅の開口部のせん断耐力の低下率を集計してこれを部材長さで割り概算値が求められるが、本例については略75%と換算される。   When a concentric circular hole is provided in the web inside the circular ring, the shear strength of the member is not determined by the minimum cross section on the center line of the circular hole, and it is necessary to convert it as the ratio of the cross-sectional defect to the web area over the entire length of the member There is. In this case, the reduction rate of the shear strength of the opening having the same width as the beam surrounding the circular hole is totaled and divided by the member length to obtain an approximate value. In this example, it is converted to about 75%.

図6は円形環と縦スティフナーとをウェブの両面から添接する補強構造で、ウェブ片側面に円形環3を且つウェブ逆側面に前記円弧と中立軸上で重なるように縦スティフナー4とを添接し、上下フランジと並行して梁全長に亘りV字形に部材5を配している。梁の両端部から進行する塑性化に対して両方向に突出するフランジの中間部を連続して支えることは薄板化を図る上で有効である。   FIG. 6 shows a reinforcing structure in which a circular ring and a vertical stiffener are attached from both sides of the web. The circular ring 3 is attached to one side of the web and the vertical stiffener 4 is attached to the opposite side of the web so as to overlap the arc and the neutral axis. In parallel with the upper and lower flanges, the member 5 is arranged in a V shape over the entire length of the beam. Supporting the intermediate portion of the flange projecting in both directions against the plasticization proceeding from both ends of the beam is effective in reducing the thickness.

図7は材長9,000mmの梁に対する解析結果で、フランジを矩形断面とするH形断面梁で幅300mmに対し板厚16mm,14mm,12mmとし、又ウェブ板厚は6.0mmとした。実線は(a)図に示す部材長手方向に円形環を連続配置する結果であり十分な塑性変形能力を示すが、点線は(b)図に示す梁両端部近傍の塑性化領域にのみ円形環を添接する結果であり前者に比し若干劣る。   Fig. 7 shows the analysis results for a beam with a length of 9,000mm. The H-shaped cross-section beam has a rectangular cross section, and the plate thickness is 16mm, 14mm, 12mm for the width of 300mm, and the web plate thickness is 6.0mm. The solid line shows the result of the continuous arrangement of the circular ring in the longitudinal direction of the member shown in (a), and shows sufficient plastic deformation capability, while the dotted line shows the circular ring only in the plasticized region near both ends of the beam shown in (b). The result is a little inferior to the former.

フランジが薄く梁両端部から塑性化が進行する場合には、突出するフランジの両中間部をV字形に支えることで幅厚比が小さくなり塑性変形能力の確保に有効である。又、梁全長に亘る断面隅部の管状体により梁の捩り剛性が上がるため全体座屈の発生を遅らせるが、円形環補強を梁両端部近傍だけとする場合は梁中間部のウェブにせん断座屈が生じない場合に限る必要がある。   When the flange is thin and plasticization proceeds from both ends of the beam, the width-to-thickness ratio is reduced by supporting both intermediate portions of the projecting flange in a V shape, which is effective in securing the plastic deformation capability. In addition, the tubular body at the cross-sectional corners over the entire length of the beam increases the torsional rigidity of the beam, thus delaying the occurrence of overall buckling. It needs to be limited to when bending does not occur.

図8は梁部材を構成するフランジ2が断面先端部に突出リブを設けたもので、ウェブ面を対称として円形環の円弧上下に沿うように断面隅部をV字形5となるよう補強し、ウェブ面上の補強材と連携してフランジの薄板化を意図したものである。フランジ断面先端部のリブにより梁弱軸回りの曲げ剛性が高くなるため大スパン梁の塑性変形能力の向上に繋がる。   In FIG. 8, the flange 2 constituting the beam member is provided with a protruding rib at the tip of the cross section, and the cross section corners are reinforced so as to be V-shaped along the circular arc of the circular ring with the web surface symmetrical. The flange is intended to be thinned in cooperation with the reinforcing material on the web surface. Since the bending rigidity around the beam weak axis is increased by the rib at the tip of the flange cross section, the plastic deformation capacity of the large span beam is improved.

図9は梁せい900mmに対しウェブ板厚を2.3mm,幅厚比400とし且つスパン10,800mmの梁部材で、フランジはみぞ形断面300mmx90mmで板厚を6mm,7mm,8mmとする結果である。実線は断面隅部の補強をウェブ面両側(b-1)とする場合、点線はウェブ面片側(b-2)とする場合であるが、後者は梁両端部塑性化領域のフランジで左右バランスが崩れ前者に比し塑性変形能力は若干劣る。   FIG. 9 shows a result of a beam member having a web thickness of 2.3 mm, a width-to-thickness ratio of 400 and a span of 10,800 mm with respect to 900 mm of the beam, a flange having a groove-shaped cross section of 300 mm × 90 mm, and a plate thickness of 6 mm, 7 mm, and 8 mm. The solid line shows the case where the cross-section corner reinforcement is on both sides of the web surface (b-1), and the dotted line shows the case where the web surface is on one side (b-2). However, the plastic deformation ability is slightly inferior to that of the former.

円形環を囲むウェブ領域と左右の矩形領域とは略同じ幅であるものの円形環内側の引張応力面としての釣合によりせん断降伏荷重が確保される。しかもウェブでは低次モードのせん断座屈が早期に発生し、これが高次モードであるせん断に伴う部材の捩り座屈が生じないことに繋がり、大スパンの梁が横変形を抑えることなく高い塑性変形能力を示していると考えられる。   Although the web region surrounding the circular ring and the left and right rectangular regions have substantially the same width, a shear yield load is secured by balancing as a tensile stress surface inside the circular ring. In addition, low-order mode shear buckling occurs early in the web, which leads to the fact that the torsional buckling of the member due to high-order mode shear does not occur, and the large-span beam has high plasticity without suppressing lateral deformation. It is thought that it shows deformation ability.

図10はウェブ面上下の片側一方向に突出フランジのある所謂みぞ形断面の梁7で、断面内側の隅部補強部材5により三角形となる管状体を構成し且つウェブ面には円形環3と縦スティフナー4とを設ける。捩りに弱いみぞ形断面梁に対し部材全長に亘り設けられる管状体は効果的である。冷間成形部材はウェブが厚く、円形環補強を梁両端部に限る(a)図と、同心円となる開口穴を設ける(b)図とを対象とする。   FIG. 10 shows a so-called groove-shaped beam 7 having a flange protruding in one direction on the upper and lower sides of the web surface. The corner reinforcing member 5 on the inner side of the cross section forms a triangular tubular body. A vertical stiffener 4 is provided. A tubular body provided over the entire length of the groove-shaped cross-sectional beam that is weak against torsion is effective. The cold-formed member has a thick web and is intended to be used for (a) a drawing in which circular ring reinforcement is limited to both ends of the beam and (b) a drawing in which concentric opening holes are provided.

図11は材長9,000mmのみぞ形断面900mmx225mmx75mmで板厚を6.0mm,7.5mm,9.0mm,とする解析結果である。実線は梁両端から1,350mm位置を横変形拘束した場合であるが、梁両端部近傍の補強と部材全長に亘る断面隅部の管状体により捩り剛性が上がり塑性変形能力は高い。点線は横変形拘束のない場合であるが、両材端部の塑性化とともに部材捩りが生じ断面板厚差に応じて耐力低下する。   FIG. 11 shows the analysis results when the material length is 9,000 mm and the cross section is 900 mm × 225 mm × 75 mm and the plate thickness is 6.0 mm, 7.5 mm, 9.0 mm. The solid line shows the case where transverse deformation is restrained at 1,350 mm from both ends of the beam, but the torsional rigidity is increased by the reinforcement in the vicinity of both ends of the beam and the tubular body at the cross-sectional corner over the entire length of the member, and the plastic deformation capacity is high. The dotted line shows the case where there is no lateral deformation constraint, but the torsion of the member occurs with the plasticization of the end portions of both materials, and the yield strength decreases according to the cross-sectional plate thickness difference.

図12は材長及び部材断面は前例と同じ冷間成形みぞ形断面に対して、部材長手方向に円形環5個を均等に配し且つ円形環内側に同心円となる円形穴を設ける場合の結果である。実線は円形穴径を梁両端部で梁せいの40%且つ中間部で60%とする場合であり、又点線は全ての穴径を50%とする場合であるが、両材端部の円形穴がフランジの降伏開始時点の曲げ耐力に若干影響するものの両者とも塑性変形能力は高い。   FIG. 12 shows the result when the material length and the member cross-section are the same as the cold-formed groove-shaped cross section as in the previous example, and five circular rings are evenly arranged in the longitudinal direction of the member and concentric circular holes are provided inside the circular ring. It is. The solid line is the case where the circular hole diameter is 40% of the beam at both ends of the beam and 60% at the middle part, and the dotted line is the case where all the hole diameters are 50%, but the circular shape at the ends of both materials Both have high plastic deformation ability, although the hole slightly affects the bending strength at the start of yielding of the flange.

本明細書で扱った金属材料は、降伏点応力度σy=30kN/cm2,ヤング係数E=20,500kN/cm2の鋼材として一般的に多用される普通鋼材を利用したが、本補強構造では金属の材種や材質に拘るものではなく高降伏点鋼でも低降伏点鋼でもよい。特に、梁部材のウェブ面を引張応力による釣合場とするものであり、剛性の低い軽金属材料に対して極めて有効と考えられる。 Metallic material covered in this specification, yield stress of σ y = 30kN / cm 2, but utilizing the generally plain steel, which is frequently used as a steel material of Young's modulus E = 20,500kN / cm 2, the reinforcing structure Then, it is not related to the type and material of the metal, and may be high yield point steel or low yield point steel. In particular, the web surface of the beam member is used as a balance field by tensile stress, which is considered extremely effective for light metal materials having low rigidity.

梁のウェブに対する補強方法として、ウェブ片側面に円形環と両側の縦スティフナーとを複数個所配することで面内せん断に対しウェブが引張応力面となり安定化し、ウェブ板厚を現状より遥かに薄くできる。これまでのせん断座屈に伴う幅厚比に支配されずに面内せん断に対し必要とされる最小限のウェブ板厚とすることができるため、梁部材の力学性能を落すことなく断面の薄板化が可能となる。   As a reinforcement method for the web of the beam, by arranging a plurality of circular rings and longitudinal stiffeners on both sides of the web, the web becomes a tensile stress surface against in-plane shear, and the web plate thickness is much thinner than the current situation. it can. The minimum web thickness required for in-plane shear without being governed by the width-to-thickness ratio associated with conventional shear buckling, so the cross-section of the thin plate without reducing the mechanical performance of the beam member Can be realized.

梁のフランジに対する補強方法として、上下フランジと並行してL形断面乃至矩形断面の部材を配し且つ断面隅部から略等距離の前記断面の一端をウェブに又他端をフランジに接合して管状体を設けるが、これによりフランジ及びウェブの局部座屈変形を抑えることができ、更に断面隅部の管状体が部材の曲げ捩り剛性を上げ梁長手方向の横座屈拘束を省くことができる等設計上の利点が大きい。   As a method of reinforcing the flange of the beam, a member having an L-shaped cross section or a rectangular cross section is arranged in parallel with the upper and lower flanges, and one end of the cross section at a substantially equal distance from the cross section corner is joined to the web and the other end is joined to the flange. Although a tubular body is provided, local buckling deformation of the flange and the web can be suppressed, and the tubular body at the corner of the cross section can increase the bending torsional rigidity of the member and eliminate the lateral buckling restraint in the beam longitudinal direction. Great design advantage.

本発明の梁では断面先端部に突出するリブを設けたフランジも対象とするが、これによりフランジの板厚を薄くできるだけでなく梁の弱軸周りの曲げ剛性を大幅に上げて部材全体が安定化する。更に、ウェブ面が偏心位置にあるみぞ形断面の梁に対し断面隅部に管状体を設けることは捩りに対する弱点が大幅に改善され、塑性変形能力の高い非対称断面部材として広く使用される可能性大である。   In the beam of the present invention, a flange provided with a rib protruding at the end of the cross section is also targeted, but this can not only reduce the plate thickness of the flange, but also greatly increase the bending rigidity around the weak axis of the beam and stabilize the entire member Turn into. Furthermore, the provision of a tubular body at the cross-sectional corner of a beam having a groove-shaped cross section in which the web surface is in an eccentric position greatly improves the weakness against torsion, and may be widely used as an asymmetric cross-section member with high plastic deformation capability. It ’s big.

1. 梁部材のウェブ
2. 梁部材のフランジ
3. 円形環補強部材
4. 縦スティフナー
5. 断面隅部補強部材
6. ウェブ面の円形穴
7. みぞ形断面部材
1. 1. Beam member web 2. Beam member flange 3. Circular ring reinforcing member Vertical stiffener 5. 5. Cross-section corner reinforcing member 6. Circular hole on the web surface Groove-shaped cross-section member

Claims (4)

せん断曲げを受けるウェブの両端にフランジを有する梁について、ウェブの片側面に円形環と左右に近接する縦スティフナーとを部材長手方向に複数個添接し、ウェブの逆側面に上下フランジと並行してL形断面部材乃至矩形断面部材を配し且つ前記L形断面部材乃至前記矩形断面部材の一端を円形環の円弧に沿うようウェブに又他端をフランジに添接し、梁の断面隅部に四角形乃至三角形の管状体を設けることで断面板要素の座屈変形を抑えるとともに部材の捩り剛性を上げ、梁の塑性変形能力の向上を図る補強構造。   For beams having flanges on both ends of the web subjected to shear bending, a plurality of circular rings and vertical stiffeners adjacent to the left and right are attached to one side of the web in the longitudinal direction of the member, and parallel to the upper and lower flanges on the opposite side of the web An L-shaped cross-section member or a rectangular cross-section member is arranged, and one end of the L-shaped cross-section member or the rectangular cross-section member is attached to the web so as to follow the circular arc of the circular ring, and the other end is abutted to the flange. A reinforcing structure that suppresses buckling deformation of the cross-section plate element and increases the torsional rigidity of the member and improves the plastic deformation capacity of the beam by providing a triangular tubular body. せん断曲げを受けるウェブの両端にフランジを有する梁について、ウェブの片側面に円形環とウェブ逆側面に前記円弧と中立軸上で重なり合う縦スティフナーとを部材長手方向に複数個添接し、ウェブ両側面に上下フランジと並行して矩形断面部材を斜めに配し且つ前記矩形断面部材の一端を円形環の円弧に沿うようウェブに又他端をフランジに添接し、梁の断面隅部にV字形の管状体を設けることで断面板要素の座屈変形を抑えるとともに部材の捩り剛性を上げ、梁の塑性変形能力の向上を図る補強構造。   For a beam having flanges at both ends of a web subjected to shear bending, a circular ring on one side of the web and a plurality of vertical stiffeners overlapping the arc and the neutral axis on the opposite side of the web are attached in the longitudinal direction of the member. In parallel with the upper and lower flanges, a rectangular cross-section member is disposed obliquely, and one end of the rectangular cross-section member is attached to the web along the circular arc of the circular ring and the other end is abutted to the flange. A reinforcing structure that suppresses buckling deformation of the cross-section plate element and increases the torsional rigidity of the member by providing a tubular body, thereby improving the plastic deformation capacity of the beam. せん断曲げを受けるウェブの両端にフランジを有する梁について、フランジを矩形断面両先端部の片側乃至両側に突出リブのある部材とし、フランジの局部座屈の発生を遅らせ梁の降伏荷重を確保するとともに梁の横方向への曲げ剛性を上げ横座屈変形を抑えて部材全長に亘って安定した力学的釣合を維持し、梁の塑性変形能力の向上を図る請求項1,請求項2いずれか一項に記載する補強構造。   For beams with flanges on both ends of the web subjected to shear bending, the flange is a member with protruding ribs on one side or both sides of the two ends of the rectangular cross section, delaying the local buckling of the flange and ensuring the yield load of the beam 3. The beam according to any one of claims 1 and 2, which increases the bending rigidity in the lateral direction of the beam, suppresses lateral buckling deformation, maintains a stable mechanical balance over the entire length of the member, and improves the plastic deformation capacity of the beam. Reinforcing structure described in the section. せん断曲げを受けるウェブの両端に片側一方向へのみフランジを有する梁について、フランジ突出側のウェブ面に円形環と左右に近接する縦スティフナーとを部材長手方向に複数個添接し、上下フランジと並行して矩形断面部材を斜めに配し且つ前記矩形断面部材の一端を円形環の円弧に沿うようウェブに又他端をフランジに添接し、梁の断面隅部に三角形の管状体を設けることで断面板要素の座屈変形を抑えるとともに部材の捩り剛性を上げ、梁の塑性変形能力の向上を図る補強構造。   For beams that have a flange only in one direction on one side on both ends of the web subjected to shear bending, a plurality of circular rings and vertical stiffeners adjacent to the left and right are attached to the web surface on the flange protruding side in parallel with the upper and lower flanges. The rectangular cross-section member is arranged obliquely, and one end of the rectangular cross-section member is attached to the web and the other end to the flange so as to follow the circular arc of the circular ring, and a triangular tubular body is provided at the cross-sectional corner of the beam. A reinforcing structure that suppresses buckling deformation of cross-section plate elements and increases the torsional rigidity of the members to improve the plastic deformation capacity of the beam.
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CN108647411A (en) * 2018-04-25 2018-10-12 桂林电子科技大学 A kind of truss stress model modeling method expressed based on the spaces Grassmann and recurrence surface

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JP6523729B2 (en) * 2015-03-24 2019-06-05 センクシア株式会社 Ring beam reinforcement bracket, beam reinforcement structure
JP6438334B2 (en) * 2015-03-24 2018-12-12 センクシア株式会社 Beam reinforcement bracket and beam reinforcement structure
JP7507026B2 (en) 2020-07-22 2024-06-27 株式会社竹中工務店 Reinforcement structure of steel perforated beam
JP7507027B2 (en) 2020-07-22 2024-06-27 株式会社竹中工務店 Reinforcement structure of steel perforated beam

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JPH05507133A (en) * 1990-05-03 1993-10-14 ナヴォン,ラム structural beam

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JPS59141658A (en) * 1983-02-01 1984-08-14 新日本製鐵株式会社 Uneven web h-shaped steel
JPH05507133A (en) * 1990-05-03 1993-10-14 ナヴォン,ラム structural beam

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Publication number Priority date Publication date Assignee Title
CN108647411A (en) * 2018-04-25 2018-10-12 桂林电子科技大学 A kind of truss stress model modeling method expressed based on the spaces Grassmann and recurrence surface

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