JP5908282B2 - Steel beam through hole reinforcement design method and reinforcement design support device - Google Patents

Description

This invention relates to a steel beam web, when providing a through hole for passing a facility for pipes or the like, reinforcement shows the reinforcement contents of the standard reinforcing the formation part around the through hole of the steel beam standard display device The present invention relates to a reinforcing design method for a steel beam through hole and a reinforcing design support device.

A perforated beam is often used in which a through hole is provided in a steel beam web and directly passes through piping for equipment. Lowering the floor height using perforated beams will lead to a reduction in the amount of steel and the outer wall area, which will greatly contribute to economic efficiency. Particularly in recent years, with the pursuit of comfort and the progress of OA, the air conditioning capacity and the like have increased, and the amount of through holes required for the beam has increased.
The problem when a through-hole is provided in a steel frame beam is a decrease in beam strength and a decrease in plastic deformation capacity. However, there are no general design standards such as academic standards for perforated beams, and the current situation is that each company and each designer sets and reinforces standards based on their own ideas. In general, the through-holes are conventionally reinforced regardless of the bending moment and shearing force acting on the beam through-holes. The sleeve hole reinforcement standard drawing is created by referring to papers, books, etc. of the appropriate design method and used in practice, but the position of the through hole provided in the steel beam is not considered In any position in the length direction of the steel beam, the through hole is provided as a standard reinforcement diagram for performing similar reinforcement.

  However, the bending moment and shearing force acting on the steel beam vary depending on the material length, and the stress at the beam end is large, while the stress at the beam center is small. For this reason, according to the conventional sleeve hole reinforcement standard diagram, if there is a through-hole in the center of the beam, there is a possibility that excessive, that is, useless reinforcement.

  In order to solve these problems, a design that avoids unnecessary reinforcement as much as possible can be found by knowing the details of reinforcement required according to the beam cross-section, hole diameter, and hole position, and easily identifying the area that does not require reinforcement according to the hole position. There has been proposed a reinforcement standard indicator for steel beam through-holes in a list form and a reinforcement design support device that can be easily performed (Patent Document 1).

JP 2005-105672 A

Tsutomu Kato, Hirofumi Kaneko: Regarding the limit distance from the beam end of the steel through-hole, the Architectural Institute of Japan, 496, pp, 105-112, 19977.6 Yasuo Doi, Yasuo Fukuchi: Strength and design method for beams with circular holes, Proposal for calculation calculation of practical strength, Architectural Institute of Japan, 357, pp44-52, 985.11

The reinforcement shown in Patent Document 1 is a reinforcement content in which both the outer peripheral portion and the inner peripheral portion of the reinforcing plate are fillet welded. However, if fillet welding is performed on both the outer peripheral portion and the inner peripheral portion of the reinforcing plate, the beam member may be deformed and the cost is increased.
In addition, in the list of the literature, only the middle region of the large beam can be reinforced, and when the plasticized region in the vicinity of the end portion is reinforced, it needs to be individually examined, which takes time.
In addition, since the examination of the reinforcement content is examined using the abbreviated calculation method proposed in the previous paper, it is less reliable than the detailed examination method using the balance formula.

The purpose of the present invention is to know the necessary reinforcement contents according to the beam cross section, hole diameter, and hole position, and easily identify the unnecessary reinforcement area according to the hole position, and weld only the outer periphery of the reinforcing plate as the reinforcement contents. The steel beam through-holes in the form of a list that can be easily designed to avoid unnecessary reinforcement as much as possible, as well as to avoid deformation of the beam members accompanying reinforcement and simplify the reinforcement work. A strong design method and a reinforcement design support device are provided.
Another object of the present invention is to enable the design by using a list if the conditions are satisfied even when the plasticizing region of the large beam is reinforced.
Still another object of the present invention is to make it possible to present highly reliable reinforcement contents by a balanced type in a form in which welding of the inner peripheral portion is omitted.

The steel beam through-hole reinforcement standard indicator (10) used in the steel beam through-hole reinforcement design method of the present invention is a steel beam through-hole reinforcement standard indicator showing the contents, and the following list (11) Consists of.
This list (11) displays the cross-sectional dimension information of the steel beams having various cross-sectional dimensions as the row header display (12) in each row (A1 to Am) of the column (B0) which is the heading of the table. As the column header display (13) in each column of the row (A0) serving as the header of the table (11), various hole diameters of the through-holes opened on the web are sequentially displayed. The row heading display (14) of the predetermined row (An) in the above table indicates a row indicating the distance (L2) from the beam end to the unreinforced region.
Various distances (L2) to the non-reinforcement region are sequentially displayed in each cell that is a column portion in a row indicating the distance to the non-reinforcement region (L2).
In a cell (Sij) that is a region where an arbitrary row (Ai) in which the row heading is displayed with the cross-sectional dimension information in the above table (11) and an arbitrary column (Bj) in which the column heading is displayed with the hole diameter intersect. Reinforcing contents corresponding to the following conditions: cross-sectional dimension information corresponding to the heading display contents, hole diameter, and distance (L2) to the non-reinforcing region displayed in the predetermined row of the column (Bj) where the cell is located indicate.
This reinforcing content includes a through hole that is aligned with the through hole around the through hole of the web when the location where the through hole of the beam is provided is equal to or less than the distance (L2) to the unreinforced region. The steel reinforcing plate is overlapped on both sides or one side, and the outer periphery of the reinforcing plate is reinforced by fillet welding to the web.
The contents displayed in the cell (Sij) are the size and thickness of the reinforcing plate that satisfies all of the following conditions (1) to (3), and the number of sheets indicating whether it is double-sided or single-sided. is there.
The condition is
(1) (Shearing force acting on the hole of the beam) <(Shearing strength of the hole of the reinforced beam)
(2) (Bending moment acting on the hole of the beam) <(Bending strength of the hole of the reinforced beam)
(3) (Shear buckling stress degree of reinforcing plate)> (Allowable shear stress degree of steel material of reinforcing plate)
It is.
As the contents of reinforcement, a cell indicating that reinforcement is not required is given a display indicating that reinforcement is not required,
As the contents of reinforcement, a display indicating that individual examination is necessary is given to cells that need individual examination.

The reinforced standard display tool (10) having this configuration is used as follows. Corresponding to the dimension information of the cross section of the steel beam to be designed, the hole diameter of the through hole, and the distance from the beam end to the hole center position, the reinforcement contents in the next cell are viewed. Corresponding cell that is an area where an arbitrary row (Ai) in which the row heading (12) is displayed by the cross-sectional dimension information in the table (11) and an arbitrary column (Bj) in which the column heading is displayed by the hole diameter intersect. Look at (Sij). In the corresponding cell (Sij), the cross-sectional dimension information corresponding to the headline display content and the reinforcement content (15) necessary for the hole diameter are shown. The reinforcement content in the corresponding cell (Sij) is the reinforcement satisfying each condition of the distance (L2) to the unreinforced region displayed in the predetermined row (An) of the column where the corresponding cell (Sij) is located. If the position where the through hole is provided is a position closer to the beam end than the distance (L2) to the unreinforced region in the row where the corresponding cell is located, the reinforcement shown in the reinforcement content may be performed. If the position where the through hole is provided is closer to the center of the beam than the distance (L2) to the unreinforced region in the row of the corresponding cell (Sij), it is not necessary to provide the through hole. If there is an indication (15a) indicating that no reinforcement is required as the reinforcement content in the cell (Sij), there is no need to reinforce around the through hole.
Thus, since the distance (L2) to the non-reinforcement region is shown in the table (11), it can be simply displayed that the reinforcement is unnecessary as the reinforcement standard, and unnecessary reinforcement is avoided. The Further, since the contents of reinforcement in each cell (Sij) are the contents including the distance from the beam end of the through hole as a condition, there is no need to consider the margin when the hole position is close to the center of the beam in the contents of reinforcement. The amount of reinforcement shown as reinforcement content can be reduced.
In particular, this reinforcing standard indicator (10) shows the result when only the outer periphery of the reinforcing plate is fillet welded as the reinforcing content, and the design based on this shows that only the outer periphery of the reinforcing plate is welded, Since the periphery is reinforced without welding, it is possible to avoid deformation of the beam member due to the reinforcement of both the inner and outer periphery and simplify the reinforcement work. Reinforcement by welding only on the outer periphery of the reinforcing plate has become possible by performing the calculation of the above condition (3), that is, examining the shear buckling of the reinforcing plate when the reinforcing plate is provided.
When this reinforcement standard display tool (10) is used, the design which avoids useless reinforcement as much as possible by these can be performed easily.

As before Symbol List (11), and the girders intermediate region reinforcement table showing the contents of the case of an intermediate region of the girders (11B, 11C), girders plasticized region showing the contents of the case of girders plasticized region of Reinforcing beam list (11A), a beam beam reinforcing beam table (11D) showing the contents of a small beam, and a cantilever beam beam reinforcing table (11E) showing the contents of a cantilever beam, In addition, a use condition table (111) showing conditions for using each of the list tables (11) is provided .
In the case of this configuration, as long as the conditions defined in the use condition table are satisfied, the operation using the list can be performed even when the plasticizing region is reinforced, and the labor of individual calculation can be saved.

Before SL through hole is circular, the reinforcing plate is a rectangular, the condition (3),
(Shear buckling stress degree of reinforcing plate)> (Allowable shear stress degree of steel material of reinforcing plate),
The degree of shear buckling stress τ _cr of the reinforcing plate used for determining whether the condition is satisfied is defined by the following equation.

By using the shear buckling stress degree τcr of the reinforcing plate calculated as described above, in the condition (3), (the shear buckling stress degree of the reinforcing plate)> (the allowable shear stress degree of the steel material of the reinforcing plate),
By performing the calculation as described above, it is possible to design a more reliable reinforcement while the reinforcement content is welding only the outer periphery of the reinforcing plate.

In this case, the hole portion of the reinforced beam used in the condition (1) “(shearing force acting on the hole portion of the beam) <(shear strength of the hole portion of the reinforced beam)” For shear strength Q _ph of
Each of the cross sections of the reinforced beam divided into a hole upper part and a hole lower part with respect to the through hole, each of which is divided into a part that becomes a shear core that is responsible for shearing force and a part that is responsible for bending due to the feeler action As a yield mechanism for various types of shear strength calculations,
Yield mechanism _s A _{u at} the top of the hole when the shear yield section is formed on the upper side of the reinforcing plate,
Yield mechanism _s B _u above the hole when a shear yield cross section is formed on the side of the reinforcing plate,
Yield mechanism _s A _{1 at} the bottom of the hole when a shear yield section is formed under the reinforcing plate,
Yield mechanism _s B _{l at} the bottom of the hole when a shear yield section is formed on the side of the reinforcing plate,
Assuming
For each of the top and bottom of the hole, the smaller value of the shear strength calculated by both yield mechanisms is adopted, and the value given by the following equation, which is the sum of the shear strength of the adopted top and bottom holes _{May be the} shear strength _Qph .
Q _ph = min (V _AU , V _BU ) + min (V _AL , V _BL )
However,
V _AU: hole the top of the shear yield mechanism _s A _u yield shear strength of,
V _BU : Yield shear strength of the shear yield mechanism _s B _u above the hole,
V _AL: hole bottom of the shear yield mechanism _s A _l yield shear strength of,
V _BL : Yield shear strength of the shear yield mechanism _s B _l above the hole.

ただし、
_AUＭ_phf ：孔上部のせん断降伏機構 _mＡ_u の全塑性曲げ耐力、
_BUＭ_phf ：孔上部のせん断降伏機構 _mＢ_u の全塑性曲げ耐力、
_ALＭ_phf ：孔下部のせん断降伏機構 _mＡ_l の全塑性曲げ耐力、
_BLＭ_phf ：孔下部のせん断降伏機構 _mＢ_l の全塑性曲げ耐力。 Further, the bending of the hole portion of the reinforced beam used in the condition (2) “(bending moment acting on the hole portion of the beam) <(bending strength of the hole portion of the reinforced beam)” is satisfied. The proof strength M _phf is divided into two parts, each of which is divided into a section responsible for shearing force and a part responsible for bending due to the feelering action, in each cross section where the reinforced beam is divided into the upper part and the lower part of the through hole. Yield mechanism of bending strength calculation of
The yield mechanism _m A _{u at} the top of the hole when the shear yield section is formed on the upper side of the reinforcing plate,
The yield mechanism _m B _{u at} the top of the hole when a shear yield section is formed on the side of the reinforcing plate,
Yield mechanism of hole bottom when shear yield sectional below the reinforcing plate is formed _m A _l,
Yield mechanism _m B _{l at} the bottom of the hole when a shear yield section is formed on the side of the reinforcing plate,
Assuming
It is good also as a value given by following Formula which is a small value of the shear strength calculated by both yield mechanisms about each of a hole upper part and a hole lower part.

However,
_AU M _phf : Total plastic bending strength of shear yield mechanism _m A _u above the hole,
_BU M _phf : Total plastic bending strength of shear yield mechanism _m B _u above the hole,
_AL M _phf : Total plastic bending strength of shear yield mechanism _m A _{l at} the bottom of the hole,
_BL M _phf : Total plastic bending strength of shear yield mechanism _m B _{l at} the bottom of the hole.

In this way, in the calculation of shear strength, in each cross section divided into the upper part and the lower part of the hole, it was divided into the part that becomes the shear core that is the part responsible for the shear force and the part that is responsible for the bending due to the feeler action. For each of the top and bottom of the hole, the smaller value of the shear strength calculated by the two yield mechanisms is adopted for each of the two types of shear strength calculation. Since the sum of the shear strengths is used for the determination of the condition (1) (the shear strength of the hole portion of the reinforced beam), it is a table in which the determination of the satisfaction of the shear strength is performed with high reliability.
In addition, regarding the bending strength, the yield mechanism of each of the two types of bending strength calculations divided into a portion responsible for shearing force and a portion responsible for bending due to the feelering action in each cross section divided into the upper part and the lower part of the hole. Since a small value of the shear strength calculated by each yield mechanism is used, even in the determination of whether or not the bending strength is satisfied, the table is a highly reliable determination.

Reinforcing method for designing steel beam through hole of the present invention, the case of providing the web in the through hole of the steel beam, a reinforcing design method of reinforcing forming portion around the through hole of the steel beam, on SL any It is a design method using the reinforcing standard indicator of the steel beam through-hole of composition .
According to this design method, since the reinforcing standard display device having the above-described configuration is used, the necessary reinforcement content can be determined according to the beam cross section, the hole diameter, and the hole position, and the reinforcing unnecessary area corresponding to the hole position can be easily determined, and As reinforcement contents, reinforcement by welding only the outer periphery of the reinforcement plate can be performed, deformation of the beam member accompanying reinforcement can be avoided, reinforcement work can be simplified, and design that avoids unnecessary reinforcement can be easily performed.

In the method of the present invention, as the reinforcing standard indicator, the list as described above, the reinforcement list for the middle region of the large beam showing the content in the middle region of the large beam, and the content in the case of the plasticized region of the large beam A list of reinforcements for the plasticization region of the large beam showing the above and a list of reinforcements for the small beam showing the contents in the case of the small beam, and a use condition table showing the conditions when using each of the above lists are provided used as a, if not corresponding to conditions of use according to the use condition table, and when applied to the beam other than the beam according to the reinforcement table is to use a separate study methods prescribed.
In the case of this method, even when the plasticized region is reinforced, operation according to the list is possible if the conditions are satisfied.

Individual study how a defined pre-Symbol is pre SL through hole is circular, the reinforcing plate is applied to the case of rectangular, said condition,
(1) (Shearing force acting on the hole of the beam) <(Shearing strength of the hole of the reinforced beam)
(2) (Bending moment acting on the hole of the beam) <(Bending strength of the hole of the reinforced beam)
(3) (Shear buckling stress degree of reinforcing plate)> (Allowable shear stress degree of steel material of reinforcing plate)
Satisfaction assessment is performed individually.
In this case, the condition (3)
(Shear buckling stress degree of reinforcing plate)> (Allowable shear stress degree of steel material of reinforcing plate),
The value of the shear buckling stress degree τcr of the reinforcing plate used for determining whether the condition is satisfied is a value calculated by the above-described equation [Equation 1].
The shear strength Q of the hole of the reinforced beam used in the condition satisfaction determination of the condition (1) “(shearing force acting on the hole of the beam) <(shear strength of the hole of the reinforced beam)” About _ph
Each of the cross sections of the reinforced beam divided into a hole upper part and a hole lower part with respect to the through hole, each of which is divided into a part that becomes a shear core that is responsible for shearing force and a part that is responsible for bending due to the feeler action Assuming the yield mechanisms _m A _u , _m B _u , _m A _l , _m B _l as described above as the yield mechanisms of various types of shear strength calculations, the value given by the following equation is defined as the shear strength Q _ph .
Q _ph = min (V _AU , V _BU ) + min (V _AL , V _BL )
The bending strength M of the reinforced beam hole used in the condition (2) “(bending moment acting on the beam hole) <(bending strength of the reinforced beam hole)”. _{As for phf} , each of the above-mentioned two types is divided into a section responsible for shearing force and a part responsible for bending due to the feelering action in each cross section obtained by dividing the reinforced beam into the upper part and the lower part of the through hole. Assuming the yield mechanisms _m A _u , _m B _u , _m A _l , _m B _l for the calculation of bending strength, use the value with the smaller bending strength calculated by both yield mechanisms for each of the upper and lower holes. The following formula.

The steel beam through-hole reinforcement design supporting device (30) according to the present invention is a steel having a through-hole aligned with the through-hole around the through-hole of the web when the through-hole is provided in the steel beam web. The size and thickness of the reinforcing plate when reinforcing the periphery of the steel beam through-hole formation part by overlapping the reinforcing plate made on both sides or one side and welding the outer periphery of the reinforcing plate to the web by fillet welding , And a support device that indicates the number of sheets indicating whether it is double-sided or single-sided as reinforcement content.
This support device (30) inputs condition data including at least the cross-sectional dimension information of the steel beam, the beam length, the hole diameter of the through hole, and the distance from the beam end to the center of the through hole, or imports it from predetermined data registration means. Condition input means (31);
From the condition data obtained by the condition input means (31), the reinforcement determination calculation means (32) for calculating the presence / absence of reinforcement and calculating the amount of reinforcement when reinforcement is required,
And a calculation result display means (33) for displaying the result calculated by the reinforcement determination calculation means.
The reinforcement determination calculating means (33) is provided with the following conditions (A), (B),
(A) (shearing force acting on the hole of the beam) <(shearing strength of the hole of the beam)
(B) (Bending moment acting on beam hole) <(Bending strength of beam hole)
When calculating whether to satisfy or not, it is determined that reinforcement is not necessary,
If not satisfied, the following conditions (1) to (3),
(1) (Shearing force acting on the hole of the beam) <(Shearing strength of the hole of the reinforced beam)
(2) (Bending moment acting on the hole of the beam) <(Bending strength of the hole of the reinforced beam)
(3) (Shear buckling stress degree of reinforcing plate)> (Allowable shear stress degree of steel material of reinforcing plate)
The size of the reinforcing plate that satisfies all of the above, the thickness, and the number of double-sided or single-sided sheets are calculated.
The shear buckling stress degree τ _cr of the reinforcing plate used for the condition satisfaction determination of the condition (3) is a value obtained by the following equation.

ここで、Ｒ ：貫通孔の半径
_VＢ_PL ：補強板の縦幅
_HＢ_PL ：補強板の横幅
ｔ_PL ：補強板の厚さ
α ：補強板の縦横比
Ｅ ：ヤング係数
ν ：ポアソン比

Where R: radius of the through hole
_V B _PL : Vertical width of reinforcing plate
_H B _PL : width of reinforcing plate
t _PL : Thickness of reinforcing plate
α: Aspect ratio of reinforcing plate
E: Young's modulus
ν: Poisson's ratio

  According to the assisting device (30) of the present invention, the reinforcement content required according to the beam cross section, the hole diameter, and the hole position can be easily determined, and the reinforcement-unnecessary area according to the hole position can be easily understood, and the reinforcement plate Reinforcement can be performed by welding only the outer periphery of the steel plate, deformation of the beam member accompanying the reinforcement can be avoided, reinforcement work can be simplified, and design that avoids unnecessary reinforcement can be easily performed.

In the support device (3) of the present invention,
The shear strength Q of the hole of the reinforced beam used in the condition satisfaction determination of the condition (1) “(shearing force acting on the hole of the beam) <(shear strength of the hole of the reinforced beam)” About _ph
Each of the cross sections of the reinforced beam divided into a hole upper part and a hole lower part with respect to the through hole, each of which is divided into a part that becomes a shear core that is responsible for shearing force and a part that is responsible for bending due to the feeler action As a yield mechanism for various types of shear strength calculations,
Yield mechanism _s A _{u at} the top of the hole when the shear yield section is formed on the upper side of the reinforcing plate,
Yield mechanism _s B _u above the hole when a shear yield cross section is formed on the side of the reinforcing plate,
Yield mechanism _s A _{1 at} the bottom of the hole when a shear yield section is formed under the reinforcing plate,
Yield mechanism _s B _{l at} the bottom of the hole when a shear yield section is formed on the side of the reinforcing plate,
Assuming
For each of the top and bottom of the hole, the smaller value of the shear strength calculated by both yield mechanisms is adopted, and the value given by the following equation, which is the sum of the shear strength of the adopted top and bottom holes It is referred to as shear strength Q _ph.
Q _ph = min (V _AU , V _BU ) + min (V _AL , V _BL )

Further, the bending of the hole portion of the reinforced beam used in the condition (2) “(bending moment acting on the hole portion of the beam) <(bending strength of the hole portion of the reinforced beam)” is satisfied. The proof strength M _phf is divided into two parts, each of which is divided into a section responsible for shearing force and a part responsible for bending due to the feelering action, in each cross section where the reinforced beam is divided into the upper part and the lower part of the through hole. Yield mechanism of bending strength calculation of
The yield mechanism _m A _{u at} the top of the hole when the shear yield section is formed on the upper side of the reinforcing plate,
The yield mechanism _m B _{u at} the top of the hole when a shear yield section is formed on the side of the reinforcing plate,
Yield mechanism of hole bottom when shear yield sectional below the reinforcing plate is formed _m A _l,
Yield mechanism _m B _{l at} the bottom of the hole when a shear yield section is formed on the side of the reinforcing plate,
Assuming
For each of holes top and hole bottom, a smaller value ones of Shear Strength was calculated in both yield mechanism, a value given by the following equation.

  In the case of this configuration, in each cross section divided into the upper part and the lower part of the hole, the yield mechanism of each of two types of shear strength calculation divided into a part responsible for shearing force and a part responsible for bending due to feeler action, and Since the calculation is performed using the yield mechanism for bending strength calculation, a more reliable design can be performed.

Reinforcement method for designing steel beam through hole of the present invention, and according to the reinforcement design support apparatus, the beam cross-section, pore size, depending on the hole positions, see that the reinforcement content required, and easy reinforcing unnecessary area corresponding to the hole positions As a reinforcement content, it is easy to design to avoid unnecessary reinforcement as much as possible.
In particular, since the buckling of the reinforcing plate is examined when installing the reinforcing plate, it is possible to perform reinforcement by welding only the outer periphery of the reinforcing plate, avoiding deformation of the beam member accompanying reinforcement, and reinforcing work Can be simplified.
In the case of the above-mentioned list, the reinforcement list for the middle region of the beam showing the contents in the middle region of the large beam, the reinforcement list for the plasticization region of the large beam showing the content in the case of the plasticization region of the large beam, and the case of the small beam Provided a list of reinforcements for small beams indicating the contents of the above and a list of reinforcements for cantilever beams indicating the contents of the cantilever beams, and a usage condition table indicating the conditions for using each of the above lists When provided, even when the plasticized region is reinforced, operation according to the list is possible if the conditions are satisfied.
Also, in each cross section divided into the upper part and the lower part of the hole, the yielding mechanism of the two types of shear strength calculation divided into the part responsible for the shearing force and the part responsible for the bending by the feeler action, and the bending strength calculation When calculating using the yield mechanism, it is possible to present highly reliable reinforcement content by a balanced formula, even though the reinforcement content is a form that omits welding of the inner periphery, and it is even more reliable High design can be done.

It is explanatory drawing of the principal part of the table | surface used as the reinforcement standard indicator used for the reinforcement design method of the steel beam through-hole concerning one Embodiment of this invention. It is explanatory drawing of the whole of the table. It is the schematic which shows an example of the use condition table | surface in the same reinforcement standard display tool. It is explanatory drawing of each area | region of a steel beam. (A), (B) is the front view and sectional drawing of the reinforcement state in the through-hole formation part of a steel beam, respectively. It is explanatory drawing which showed the symbol used for description of the steel frame beam and a reinforcement board. It is explanatory drawing which shows the example of the division of the distance to a beam inner surface and a reinforcement board, reinforcement board thickness and number of sheets, and the leg length of fillet welding. It is explanatory drawing of each two types of shear yield mechanisms shown about each of the hole upper part and the lower part. It is explanatory drawing of each two types of bending yield mechanisms shown about each of the hole upper part and the lower part. It is explanatory drawing of the yield mechanism of the web between continuous holes. It is explanatory drawing of the shear yield mechanism of a continuous hole upper part. It is explanatory drawing of the other shear yield mechanism of a continuous hole upper part. It is explanatory drawing of the shear yield mechanism of a continuous hole lower part. It is explanatory drawing of the other shear yield mechanism of a continuous hole lower part. It is explanatory drawing of the external force which acts on a beam at the time of final stage. It is a graph which shows MQ correlation of a beam end part. It is a graph which shows MQ correlation at each time of the short-term of a beam end part, long-term, and final time. It is a front view of the cantilever to be analyzed. It is a perspective view of a finite element model. It is explanatory drawing of a definition of an experimental yield strength and the said plastic strength. 1 is a block diagram of a conceptual configuration of a reinforcement design support device according to an embodiment of the present invention. It is explanatory drawing of the example of an input and output screen of the reinforcement design support apparatus. It is a figure which shows the example of a part of content of the use condition table | surface in the reinforcement standard display tool of FIG. It is a figure which shows the example of the content of the remaining part of the use condition table | surface in the reinforcement standard display tool of FIG.

An embodiment of the present invention will be described with reference to the drawings. FIGS. 1 to 3 show a reinforcing standard indicator used in this steel beam through hole reinforcement design method , FIG. 4 shows the relationship between the steel beam and the through hole, and FIG. 5 shows the shape of the steel beam and its reinforcement. Each example of structure is shown. FIG. 4 shows a relationship between a steel beam and a through hole as a target, and FIG. 5 shows an example of the shape of the steel beam and its reinforcing structure.

  In FIG. 4, when the through hole 2 is provided in the web 1 a of the steel beam 1, the reinforcing plate 3 reinforces the periphery of the formation portion of the through hole 2 of the steel beam 1. The steel beam 1 is made of H-shaped steel as shown in FIG. 5 and has a web 1a and upper and lower flanges 1b. The through hole 2 is a circular hole. The reinforcing plate 3 is a steel plate that is overlapped and welded to the web 1a, and is a square or rectangular steel plate in which a through hole 3a that matches the through hole 2 that opens in the steel beam 1 is formed. The diameter of the through hole 3 a of the reinforcing plate 3 is the same as that of the through hole 2 of the steel beam 1. The welded portion 3b of the reinforcing plate 3 is fillet weld, and is performed over the entire outer periphery. Although welding of the reinforcing plate 3 may be performed on the inner circumference or the entire circumference, the inner circumference does not need to be welded, and in the following description, only the outer circumference is welded. When welding is also performed on the inner periphery, the diameter of the through hole 3a of the reinforcing plate 3 is larger than that of the through hole 2 of the steel beam 1 by a welding amount. Whether the reinforcing plate 3 is provided on both sides or one side of the web 1a is determined by the required amount of reinforcement. The material of the reinforcing plate 3 is a material having a strength equal to or higher than that of the steel beam 1.

In FIG. 4, when the through-hole 2 is provided in the steel beam 1, how much reinforcement is necessary, whether reinforcement is not necessary, or impossible to provide is the cross-sectional dimension of the steel beam 1. In addition to the specifications and the hole diameter of the through hole 2, the distance varies from the beam end of the through hole 2 (that is, the distance from the column face 4a). This is because the bending moment and shearing force acting on the steel beam 1 change depending on the distance from the beam end, and the load requirement is reduced at the center of the beam span.
Although the distance varies depending on the hole diameter of the through hole 2 and the cross-sectional dimension of the steel beam 1, as shown in the figure, when the through hole 2 is provided in the steel beam 1 from the beam end to a predetermined distance L 1, the conditions are different. Strictly limited. This region E1 will be called a plasticized region E1. A region E2 having a predetermined distance L2 or more from the beam end does not require reinforcement. This will be referred to as an unreinforced region E2. Between the plasticized region E1 and the non-reinforcing region E2, the through hole 2 can be provided without hindrance if the reinforcing amount is reinforced according to the distance from the beam end or the like.

  The scope of application is a steel-framed building, or a steel-framed beam of a building that uses a steel frame and a reinforced concrete structure together. Although there is no restriction | limiting in the scale of a building, About the dimension about the steel beam 1, the through-hole 2, and the reinforcement board 3, it is the restricted range.

  The steel beam through-hole reinforcement standard indicator 10 shown in FIG. 1 to FIG. 3 shows the presence / absence of reinforcement according to the beam cross-sectional dimension, hole diameter, hole position, and the amount of reinforcement as a design standard. Is. FIG. 2 shows an overview of the entire list 11 serving as the reinforcement standard display tool 10, and FIG. 1 shows a part of FIG. 2 in an enlarged manner. As shown in FIG. 2, in this embodiment, as the list 11, there is no up / down eccentricity in the case of the cross-beam reinforcing region reinforcement table 11 </ b> A showing the contents in the case of the cross-beam plasticized region, and the middle region of the large beam. And 11B and 11C for reinforcing the middle region of the intermediate beam showing the contents of the beam, and a reinforcing table 11D for the small beam showing the content of the small beam, and the cantilever beam showing the content of the cantilever beam. Reinforcement list 11E, and for each of these five types of tables 11A to 11E, a narrow system reinforcement list (added by reference symbol a) applied to the narrow steel beam 2 of the JIS standard; The JIS standard medium-strength steel beam 2 is divided into a medium-width reinforcement list (shown by adding the symbol b).

In the example of FIG. 2, the steel beam is divided into a narrow width series and a medium width series and divided into left and right portions of the table, but this division is not necessarily required. Moreover, although the three types of tables 11A to 11E are arranged vertically, they may be arranged horizontally. The following description will be given for the case where the list 11 has the configuration shown in FIG.
The list 11 is not limited to the one displayed on paper or the like, and may be any electronic data that can be visually recognized as a table by output to a screen or paper. .

  This reinforcing standard display tool 10 may consist only of the list 11 or may include this table 11 and supplementary explanation display means. As supplementary explanation display means, for example, a use condition table 111 showing the conditions when the above-described reinforcement lists 11A to 11C are used for design is provided.

  For example, as shown in FIGS. 3, 23, and 24, the use condition table 111 includes a common condition when the list 11 is used, and a plasticized region for a large beam (a reinforcement list for a large beam plasticized region 11A). For use with a large beam, with no up / down eccentricity and with an intermediate region (when using the reinforcement list for large beam intermediate region 11B, 11C), and for small beams (reinforcement list for small beams) The conditions for the case of using Table 11D and the conditions for the cantilever (when using the cantilever reinforcement list 11E) are described separately. The common division conditions are classified into the hole position condition of the through hole 2, the reinforcing plate condition, and the load condition. For the large beam plasticizing region, it is divided into hole position, number of holes, beam length, beam type, load condition and beam end. For the middle beam area, it is divided into hole position, beam length, load condition, and beam end type. For small beams, it is divided into hole position, beam length, and load conditions. For cantilever beams, it is divided into hole position, beam length, and load conditions.

  In FIG. 1, the list 11 serving as the reinforced standard display tool 10 includes cross-sectional dimensions of steel beams having various cross-sectional dimensions as the row heading display 12 in each row A1 to Am (m is an arbitrary integer) of the column B0 serving as a heading. Display information. The cross-sectional dimension information may be a cross-sectional dimension specification, or information such as a section indicating the cross-section of the beam material, a model number, etc., but in this embodiment, the cross-sectional dimension specification is used. As the cross-sectional dimensions, the beam length H, the beam width B, the web plate thickness t1, and the flange plate thickness t2 are sequentially displayed, for example, as “H-175 × 90 × 5 × 8”.

  In each column of the row A0 serving as a headline, various hole diameters of the through-holes 2 in the web 1b (FIG. 5) are sequentially displayed as a column headline display 13. In the example of FIG. 1, the letter “R” indicating the radius of the through hole and the numerical value “2R” that is the diameter are displayed in a display form such as “2R = 50” and “2R = 75”.

  A predetermined row An of the list 11 indicates that the row heading display 14 indicates a distance L2 from the beam end to the unreinforced region E2 (FIG. 4). The position of the beam end is the position of the column face. In this list 11, the row heading display 14 indicates “distance from the column face to the unreinforced region: L2.” The distance from the beam end of the through hole 2 differs depending on the distance from one end of the steel beam 1 and the distance from the other end, but the shorter distance, that is, the distance on which the bending moment is greatly calculated is the above-mentioned distance. Distance L2. When using the list 11, the shorter distance is used as described above.

  Various distances L2 to the non-reinforcing region are sequentially displayed in each cell Sn1... Which is each column portion in a predetermined row An indicating the distance L2 to the non-reinforcing region E2. In the example of the figure, only the second distance “1300 mm” from the shortest distance L2 is indicated by an actual number in the figure, and other distances are abbreviated as “□□” in the figure. In the table 11, the distance is indicated by actual numbers such as “700 mm”, “2000 mm”, etc. in “□□” in FIG. The value of the distance L2 shown in each of the cells Sn1... May be an appropriate value depending on the design convenience.

In the list 11, each headline is displayed in a cell Sij that is an area where an arbitrary row Ai in which the row heading 12 is displayed by the sectional dimension information and an arbitrary column Bj in which the column heading 13 is displayed by the hole diameter intersect. Display of reinforcement contents on condition of cross-sectional dimension information corresponding to the contents of 12, 13 and the hole diameter and the distance L2 to the non-reinforcing region displayed in the cell Sni of the predetermined row An of the column Bj where the cell Sij is located. 15 is applied. The reinforcement content indicates the reinforcement content by the plate thickness t _PL , the width I ( _V I _PL ) of the reinforcement plate 3 (FIG. 5), and one or two distinction indications. “Two” means that the reinforcing plates 3 are provided on both sides. The reinforcing plate 3 is assumed to be square, and the dimension of one side is shown as the width I described above.
In FIG. 1, in the actual list 11, the thickness, width, and number of sheets are respectively described in each part marked with a circle, but for convenience of illustration, a circle is used instead of the actual numerical value. Substituting.

The reinforcement content of the reinforcement content display 15 in each cell Sij is the following three conditions (1) to (1) when the location where the through hole 2 of the steel beam 1 is provided is equal to or less than the distance L2 to the non-reinforcement region. This is the reinforcement content when all 3) is satisfied.
The three conditions are:
(1) (Shearing force acting on the hole of the beam) <(Shearing strength of the hole of the reinforced beam)
(2) (Bending moment acting on the hole of the beam) <(Bending strength of the hole of the reinforced beam)
(3) (Shear buckling stress degree of reinforcing plate)> (Allowable shear stress degree of steel material of reinforcing plate)
It is.

  As the contents of reinforcement, a display 15a indicating that reinforcement is not required is provided in the cell Sij that does not require reinforcement. In this example, “reinforcement unnecessary” is displayed. When a plurality of cells Sij that do not need reinforcement are adjacent to each other, a display 15a indicating that the reinforcement is not necessary, such as “reinforcement unnecessary”, may be collectively provided in a range in which the cells Sij are integrated. The display 15a may be “unreinforced” or the like, or may be a simple symbol or hatched as long as the display can indicate to the user that the reinforcement is unnecessary.

  FIG. 1 is a part of the reinforcement list 11Aa for the narrow-width system in the reinforcement list 11A for the middle region of the large beam in FIG. 2, but is shown in FIG. 2 displayed with respect to the plasticized region E1 (FIG. 4). Also in the case of the reinforcement list 11B for the large beam plasticizing region, the form of the row heading, the column heading, and the display in each cell is the same as that of the reinforcing list 11A for the middle beam intermediate region.

  When the hole diameter of the through-hole 2 is larger than the cross-sectional dimension of the steel beam 1, the strength is insufficient and the conditions for drilling are not possible. A display 17 indicating that the examination is necessary (hatched in FIG. 1) is given. This display may be displayed in characters such as “Needs Individual Examination Required”, or may be a simple symbol or hatching, allowing the user to know that individual examination is necessary. Any display is acceptable.

In addition, said list 11 has shown the reinforcement content in case the center position of the through-hole 2 corresponds with the beam core of the steel beam 1 like FIG. 5, and when the through-hole 2 is eccentric, A list of eccentricity (not shown) is provided separately or not according to the amount of eccentricity. The list in the case of eccentricity is different from the list 11 in the content of reinforcement, but the form of each display is the same.
However, the above table 11 shows that, in addition to the case where the center position of the through hole 2 coincides with the beam core of the steel beam 1, even if the through hole 2 is eccentric, the eccentric amount e from the beam core to the hole center is It is good also as what is used when located in the range to predetermined eccentricity.

  As shown in FIGS. 10 to 14, when a plurality of through holes 2 are provided in the steel beam 1, the distance between the adjacent through holes 2 is a predetermined separation distance, for example, a beam distance H or more, or for example The applicable condition is that it is three times or more the larger hole diameter. The details of reinforcement satisfying the conditions of (1) bending strength, (2) shear strength, and (3) allowable shear stress of the steel material of the reinforcing plate under these application conditions are shown in the reinforcement content display 15.

  A reinforcement design method using the reinforcement standard display tool 10 having this configuration will be described. Corresponding to the dimension information of the cross section of the steel beam 1 to be designed, the hole diameter of the through hole 2, and the distance L2 from the beam end to the hole center position, the contents of reinforcement in the next cell are viewed. A corresponding cell Sij that is an area where an arbitrary row Ai in which the row heading 12 is displayed by the cross-sectional dimension information in the list 11 and an arbitrary column Bj in which the column heading 13 is displayed by the hole diameter intersect is viewed. In the corresponding cell Sij, the cross-sectional dimension information corresponding to the contents of the headline indications 12 and 13 and the reinforcement contents required in the case of the hole diameter are indicated by the plate thickness, width, and number of the reinforcement plates 3. The reinforcement contents in the corresponding cell Sij are the reinforcement contents satisfying the respective conditions of the distance L2 to the non-reinforcement area displayed in the predetermined row An of the column Bj where the corresponding cell Sij is located. Is provided on the beam end side from the distance L2 to the non-reinforcing region of the column Bj where the cell Sij is located, the reinforcement shown in the reinforcement content display 15 may be performed.

  If there is a reinforcement-free display 15a as the reinforcement content in the cell Sij, there is no need to reinforce around the through hole.

Thus, since the distance L2 to the non-reinforcement region is shown in the list 11, it can be simply displayed that the reinforcement is not necessary as the reinforcement standard, and the unnecessary reinforcement is avoided.
Further, since the contents of reinforcement in each cell Sij are the contents including the distance L2 from the beam end of the through hole 2 as a condition, it is not necessary to consider the margin when the hole position or the beam end is close to the reinforcement contents. The amount of reinforcement shown as reinforcement content can be reduced. For example, the amount of reinforcement is greatly reduced, for example, the plate thickness is reduced by one size as a whole compared to the case of conventional uniform reinforcement.

In particular, the reinforcing standard indicator 10 shows the result when only the outer periphery of the reinforcing plate 4 is fillet welded as the reinforcing content, and the design based on this shows that only the outer periphery of the reinforcing plate 3 is welded, Since the periphery is reinforced without welding, it is possible to avoid deformation of the beam member due to the reinforcement of both the inner and outer periphery and simplify the reinforcement work. Reinforcement by welding only the outer periphery of the reinforcing plate 3 has become possible by calculating the above condition (3), that is, by examining the shear buckling of the reinforcing plate 3 when the reinforcing plate is provided.
The reinforcement standard indicator 10 is thus an economical reinforcement standard, and by using this, it is possible to easily perform a design that avoids unnecessary reinforcement as much as possible.

  Further, as the list 11, a reinforcement list 11A for the plasticity of the large beam, a reinforcement list 11B, 11C for the middle of the large beam, a reinforcement list 11D for the small beam, and a reinforcement list 11E for the single beam are provided. In addition, since the use condition table 111 showing the conditions for using each of the above-described lists 11A to 11D is provided, the operation according to the list 11 is also used when the plasticizing region is reinforced if the conditions defined in the use condition table 111 are satisfied. This eliminates the need for individual calculations.

Regarding the welding of the reinforcing plate 3, the above condition (3) that can be reinforced only by the outer periphery welding is specifically as follows. However, it is assumed that the through hole 2 is circular and the reinforcing plate 3 is rectangular.
Condition (3) of "(shear buckling stress of the reinforcing plate)> (allowable shear stress of the steel reinforcing plate)" shear buckling stress of tau _cr of the reinforcing plate 3 used for the condition satisfaction judgment of the following formula The obtained value.

Where R: radius of the through hole
_V B _PL : Vertical width of reinforcing plate
_H B _PL : width of reinforcing plate
t _PL : Thickness of reinforcing plate
α: Aspect ratio of reinforcing plate
E: Young's modulus
ν: Poisson's ratio

  Using the shear buckling stress degree τcr of the reinforcing plate 3 calculated as described above, “(shearing buckling stress degree of the reinforcing plate)> (allowable shearing stress degree of steel material of the reinforcing plate) in the above condition (3)” By performing the calculation “”, it is possible to design a more reliable reinforcement while the reinforcement content is welding only the outer periphery of the reinforcing plate.

In this case, the hole portion of the reinforced beam used in the condition (1) “(shearing force acting on the hole portion of the beam) <(shear strength of the hole portion of the reinforced beam)” For shear strength Q _ph of
Each of the cross sections of the reinforced beam divided into a hole upper part and a hole lower part with respect to the through hole, each of which is divided into a part that becomes a shear core that is responsible for shearing force and a part that is responsible for bending due to the feeler action As a yield mechanism for various types of shear strength calculations,
Yield mechanism _s A _{u at} the top of the hole when the shear yield section is formed on the upper side of the reinforcing plate,
Yield mechanism _s B _u above the hole when a shear yield cross section is formed on the side of the reinforcing plate,
Yield mechanism _s A _{1 at} the top of the hole when the shear yield section is formed under the reinforcing plate,
Yield mechanism _s B _{l at} the top of the hole when the shear yield section is formed on the side of the reinforcing plate,
(FIGS. 8A to 8D)
For each of the top and bottom of the hole, the smaller value of the shear strength calculated by both yield mechanisms is adopted, and the value given by the following equation, which is the sum of the shear strength of the adopted top and bottom holes _{Is the} shear strength Q _ph .

  The specific calculation of the shear strength in each of the above yield mechanisms will be described later in the explanation section of the individual examination method.

Q _ph = min (V _AU , V _BU ) + min (V _AL , V _BL )
However,
V _AU: hole the top of the shear yield mechanism _s A _u yield shear strength of,
V _BU : Yield shear strength of the shear yield mechanism _s B _u above the hole,
V _AL : Yield shear strength of the shear yield mechanism _s A _{1 at} the bottom of the hole,
V _BL : Yield shear strength of the shear yield mechanism _s B _l above the hole.

Further, the bending of the hole portion of the reinforced beam used in the condition (2) “(bending moment acting on the hole portion of the beam) <(bending strength of the hole portion of the reinforced beam)” is satisfied. The proof strength M _phf is divided into two parts, each of which is divided into a section responsible for shearing force and a part responsible for bending due to the feelering action, in each cross section where the reinforced beam is divided into the upper part and the lower part of the through hole. Yield mechanism of bending strength calculation of
The yield mechanism _m A _{u at} the top of the hole when the shear yield section is formed on the upper side of the reinforcing plate,
The yield mechanism _m B _{u at} the top of the hole when a shear yield section is formed on the side of the reinforcing plate,
Yield mechanism of hole bottom when shear yield sectional below the reinforcing plate is formed _m A _l,
Yield mechanism _m B _{l at} the bottom of the hole when a shear yield section is formed on the side of the reinforcing plate,
(FIGS. 9A to 9D)
For each of the top and bottom of the hole, the value given by the following equation is used, using the smallest value of the bending strength calculated by both yield mechanisms.

  The specific calculation of the bending strength in each of the above yield mechanisms will be described later in the explanation section of the individual examination method.

However,
_AU M _phf : Total plastic bending strength of shear yield mechanism _m A _u above the hole,
_BU M _phf : Total plastic bending strength of shear yield mechanism _m B _u above the hole,
_AL M _phf : Total plastic bending strength of shear yield mechanism _m A _{l at} the bottom of the hole,
_BL M _phf : Total plastic bending strength of shear yield mechanism _m B _{l at} the bottom of the hole.

In this way, in the calculation of shear strength, in each cross section divided into the upper part and the lower part of the hole, it was divided into the part that becomes the shear core that is the part responsible for the shear force and the part that is responsible for the bending due to the feeler action. For each of the top and bottom of the hole, the smaller value of the shear strength calculated by the two yield mechanisms is adopted for each of the two types of shear strength calculation. Since the sum of the shear strengths is used for the determination of the condition (1) (the shear strength of the hole portion of the reinforced beam), it is a table in which the determination of the satisfaction of the shear strength is performed with high reliability.
In addition, regarding the bending strength, the yield mechanism of each of the two types of bending strength calculations divided into a portion responsible for shearing force and a portion responsible for bending due to the feelering action in each cross section divided into the upper part and the lower part of the hole. Since the smaller value of the shear strength calculated by each yield mechanism is used, even if it is determined whether or not the bending strength is satisfied, the list 11 can be determined with high reliability.

  The condition (1) (shear strength of the reinforced beam hole) and condition (2) (bending strength of the reinforced beam hole) in this example are short-term, long-term, and ultimate It is assumed that the conditions are satisfied for any of the proof stresses. Therefore, it becomes the list 11 which can perform determination with higher reliability.

Next, the individual examination method will be described. Also in the case of individual examination, the form of reinforcement is the form of reinforcement by outer periphery welding of the reinforcing plate 3 shown in FIG. 5, and is the same as the case of reinforcement with the reinforcement contents in the list 11.
FIG. 6 is a symbol diagram. FIG. 7 shows an example of the section of the distance L5 from the inner surface of the beam flange to the reinforcing plate 3, an example of the thickness and number of the reinforcing plates 3, and an example of the leg length of fillet welding.

  The reinforcement design of the through hole 2 will be described. In FIG. 17, the schematic diagram of MQ correlation of the formation part of the through-hole 2 is shown. The designer confirms that the absolute values of the bending moment and shearing force acting on the core position are inside the MQ correlation diagram for each of the long-term, short-term, and ultimate.

Here, one column of definitions of symbols used in the following description is shown.
[Moment symbols]
Yield shear strength of Q _ph hole (Type 2.1)
Q _yh Short-term allowable shear strength of hole = Q _ph
Long-term allowable shear strength of Q _ah hole = Q _yh /1.5
Total plastic moment of hole when M _ph shear force is not applied = Z _ph · F
Short-term allowable bending moment of hole when _Myh shear force is not applied = Z _h · F
Long-term permissible bending moment of the hole when _Mah shear force does not act = Z _h · F / 1.5
M _phf Shear force Q Total plastic bending moment of hole when _ph is applied (Formula 3.1)
Short-term permissible bending moment of the hole when M _Yhf shear force Q _yh act _{= (Z h / Z ph)} M phf
Long-term allowable bending moment of hole when M _ahf shear force Q _ah is _applied = M _{yhf /1.5}
Reference intensity plastic section modulus F steel section modulus Z _ph hole of Z _h hole

[Symbols concerning proof stress and stress]
V Yield shear strength of the upper part of the _AU hole _{s Au} 's yield shear strength V Shear yield mechanism of the upper part of the _BU hole _{s Bu} 's yield shear strength V Shear yield mechanism of the lower part of the _AL hole _s A ₁ Yield shear strength of the lower part of the V _Bl hole shear strength shear strength V _o yield sectional C acting on the shear strength V _L hole bottom which acts on yield shear strength V _u hole upper portion of shear yield mechanism _s B _l
Total plastic bending strength of the bending yield mechanism _m A _u above the _AU M _phf hole
Full plastic bending strength of _BU M _phf hole upper bending yield mechanisms _m B _u
Total plastic bending strength of bending yield mechanism _m A _l below _AL M _phf hole
Total plastic bending strength of the bending yield mechanism _m B _{l under} the _BL M _phf hole
_{c Mo} Moment due to direct stress acting on yield section C
_c m _o yield sectional webs and reinforced by shear force tolerance shear stress of sigma _w Vierendeel bridge action of axial force tau _y steel acting moment N beams T point caused by the moment M _o shear force V _o by acting on C resulting in the plate normal stress of sigma _f fee Ren straight stresses caused to the flange by direct stresses sigma _n axial force generated in the flange by Deal action k _s shear locus屈係number of reinforcing plates (hole there)
k _o Shear buckling coefficient of reinforcing plate (no holes)
τ _cr Shear buckling stress of reinforcing plate f _s Allowable shear stress of steel material D Flexural rigidity of reinforcing plate E Young's modulus ν Poisson's ratio

[Dimensional symbols]
Negative if the hole center with respect to H Sei Ryo B beam width t _w web thickness t _f flange thickness t _PL reinforcing plate thickness R pore radius e ₁ vertical bore eccentric distance (beam center is above the positive, if the lower )
e ₂ Hole eccentric distance in the left-right direction (positive when the hole center is left with respect to the reinforcing plate center, negative when it is right)
_V B _PL reinforcing plate length
_H B Width of _PL reinforcing plate P Spacing between hole centers R ₂ adjacent hole radius t _PL2 adjacent plate thickness
_V B Vertical width of the reinforcement plate of _PL2 adjacent hole
_h B Width of reinforcing plate of _PL2 adjacent hole
_n e ₁ Eccentric distance of adjacent hole (positive when the hole core is above the beam core, negative when it is below)
_n e ₂ Eccentric distance between adjacent holes
g Distance from _U reinforcing plate edge to flange (top)
Distance from g _L reinforcing plate edge to the flange (bottom)
L ₃ Required dimensions f Minimum width of the effective part of the reinforcing plate h Web length above or below the hole center h _s Shear core length h _{ν The} portion bearing the direct stress degree θ Core hole and hole edge of the yield section segment angle theta _a hole center and the yield sectional length k ₀ reinforcing angle b yield section B of a line connecting the hole edge of the angle theta _C hole center and the yield sectional C of a line connecting the hole edge of the a connecting Gap between plates k Effective width of reinforcing plate between holes ₁ Effective width of reinforcing plate between holes ₂ (adjacent hole side)
Partial width bearing the direct stress due to ν ₁ bending moment Partial width bearing the direct stress due to ν ₂ bending moment (adjacent hole side)
y Distance from hole center to centroid of T-shaped cross section α Aspect ratio of reinforcing plate

Shear Strength of Hole Portion The shear strength of the hole portion is lower than the shear strength determined that the entire cross section of the web and the reinforcing plate reaches the yield shear stress level due to the feelering action. Therefore, in the T-shaped cross-section separated above and below the hole, a part responsible for shearing force (shear core) and a part responsible for bending by the feeler action are considered.

8A and 8B show the shear yield mechanisms _s A _u and _s B _u at the top of the hole. The yield mechanism _s A _u indicates a case where a shear yield cross section is formed on the upper side of the reinforcing plate, and a yield mechanism _s B _u indicates a case where a shear yield cross section is formed on the side surface of the reinforcing plate. The shear strength of the upper part of the hole is the smaller of the shear strengths calculated by the yield mechanisms _s A _u and _s B _u . The shear strength at the bottom of the hole is determined in the same manner. Yield shear strength Q _ph of Yuanahari is the sum of the holes top and bottom of the shear strength.
_Qph = min ( _VAU , _VBU ) + min ( _VAL , _VBL ) (2.1)

Shear Strength Figure 8 shear yield mechanism _s A _u hole upper (A), shows a shear yield mechanism _s A _u pore top. The shear strength V _{AU of the} upper part of the hole considering the feelendel action is given by the following equation.
V _AU = h _s · t _w · τ _y + (h _s −g _U ) · t _PL · τ _y
Here, the length h _s of the shear nucleus is a variable, and is determined under the condition of minimizing V _AU while satisfying the following force balance equation. The bending moment M _AU due to the feeler action is expressed by the following equation.
M _AU = V _AU · Rsinθ
Here, the angle θ of the line segment connecting the hole core and the hole edge of the yield cross section is a variable, and is determined under the condition of minimizing V _AU . Since M _AU balances with the moment due to the stress distribution shown in FIG. 8A, the following equation holds.

Shear Strength Figure 8 shear yield mechanism _s B _u hole upper (B), shows a shear yield mechanism _s B _u pore top. The shear strength V _{BU of the} upper part of the hole considering the feelendel action is given by the following equation.
V _BU = h _s · t _w · τ _y
Here, the length h _s of the shear nucleus is a variable, and is determined under the condition of minimizing V _BU while satisfying the following force balance equation. When the yield strength in the horizontal direction of the yield cross section B is U, the following equation is established from the Mises yield condition.

Incidentally, the yield mechanism _s B _u may optionally not be satisfied the balance equation of the force, there is a case where the solution is not obtained. In that case, it is considered that _s B _u does not occur and mechanism _s A _u occurs.

Shear Strength Figure 8 shear yield mechanism _s A ₁ hole bottom (C), shows a shear yield mechanism _s A ₁ hole bottom. The shear strength _VAL at the bottom of the hole in consideration of the feelendel action is given by the following equation.
V _AL = h _s · t _w · τ _y + (h _s −g _L) · t _PL · τ _y
Here, the length h _s of the shear nucleus is a variable, and is determined under the condition of minimizing V _AL while satisfying the following force balance equation. The bending moment M _AL due to the feeler action is expressed by the following equation.
M _AL = V _AL · Rsinθ
Here, the angle θ of the line segment connecting the hole core and the hole edge of the yield cross section is a variable, and is determined under the condition of minimizing V _AL . Since M _AL balances with the moment due to the stress distribution shown in FIG. 8C, the following equation holds.

Shear Strength Figure 8 holes below the shear yield mechanism _s B _l (D), it shows a shear yield mechanism _s B _l hole bottom. The shear strength V _BL at the bottom of the hole considering the feelendy action is given by the following equation.
V _BL = h _s · t _w · τ _y
Here, the length h _s of the shear nucleus is a variable, and is determined under the condition of minimizing V _BL while satisfying the following force balance equation. When the yield strength in the horizontal direction of the yield cross section B is U, the following equation is established from the Mises yield condition.

なお、降伏機構_sＢ_lは、場合によっては力の釣合い式を満足できず、解が得られない場合がある。その場合、機構_sＢ_lは生じず、機構_sＡ₁が生じると考える。

In some cases, the yield mechanism _s B _l does not satisfy the force balance equation and may not obtain a solution. In this case, it is considered that the mechanism _s B ₁ does not occur and the mechanism _s A ₁ occurs.

Bending Strength of Holes FIGS. 9A to 9D show four bending yield mechanisms. Yield mechanism _m A _u indicates a case where a bending yield section is formed on the upper side of the reinforcing plate, and yield mechanism _m A _l indicates a case where a bent yield section is formed on the lower side of the reinforcing plate. Yield mechanisms _m B _u and _m B _l indicate the case where a bending yield cross section is formed on the side surface of the reinforcing plate. The total plastic bending strength M _phf when the shearing force Q _ph is _applied is the following equation using a small value of the bending strength calculated by each yield mechanism.

Bending Strength Figure 9 hole upper bending yield mechanisms _m A _u (A) shows the pore upper bending yield mechanism _m A _u. The flange bears the axial force acting on the beam. If shear force Q _ph is acting on the beam, full plastic bending strength _AU M _phf breakdown mechanisms _m A _u is given by the following equation.
_{AU M phf = B · t h} · (H-t f) (F-σ f -σ n)
Here, σ _f is the degree of direct stress generated in the flange by the feelering action, and σ _n is the degree of direct stress generated in the flange by the axial force. σ _n is given by the following equation.

ここで直応力度を負担する部分のせいｈ_ｙと、孔心と降伏断面の孔縁を結ぶ線分の角度θは変数で、力の釣り合い式を満足しながら_AUＭ_phfを最小にする条件で決定される。

Here and h _y due to the portion to bear direct stresses, the angle of the line segment θ connecting hole edge breakdown section as hole center in variables, the condition for the _AU M _phf minimized while satisfying the power balancing equation Determined by

The hole upper bending yield mechanisms _m B _u of Bending Strength Figure 9 (B), shows a flexural yield mechanism _m B _u pore top. The flange bears the axial force acting on the beam. When a shearing force of Q _ph is acting on the beam, the total plastic bending strength _Bu M _phf of the yield mechanism _m B _u is given by the following equation.
_{· Bu M phf = B · t} f (H-t f) (F-σ f -σ n)
Here, σ _f is the degree of direct stress generated in the flange by the feelering action, and σ _n is the degree of direct stress generated in the flange by the axial force. If the horizontal proof stress of the yield cross section B is U, the following equation is established from the Mises yield condition.

Here, the angle hy that is the part that bears the degree of direct stress and the angle θ of the line segment connecting the hole core and the hole edge of the yield cross section are variables, and conditions for minimizing _Bu M _phf while satisfying the force balance equation Determined by
Incidentally, the yield mechanism _m B _u may optionally not be satisfied the balance equation of the force, there is a case where the solution is not obtained. In that case, it is considered that the mechanism _m B _u does not occur and the mechanism _m A _u occurs.

Bending strength of bending yield mechanism _m A _{1 at} the bottom of the hole FIG. 9 (C) shows the bending yield mechanism _m A _l at the bottom of the hole. The flange bears the axial force acting on the beam. When a shearing force of Q _ph is acting on the beam, the total plastic bending strength _AL M _phf of the yield mechanism _m A _l is given by the following equation.
_{· AL M phf = B · t} f (H-t f) (F-σ f -σ n)
Here, σ _f is the degree of direct stress generated in the flange by the feelering action, and σ _n is the degree of direct stress generated in the flange by the axial force. From the moment balance, the following equation holds.

ここで、直応力度を負担する部分のせいｈ_ｙと、孔心と降伏断面の孔縁を結ぶ線分の角度θは変数で、力の釣り合い式を満足しながら_ALＭ_phfを最小にする条件で決定される。

Here, the due h _y parts bear the normal stress level, at an angle θ variables of a line connecting the hole edge of the yield section as hole center to minimize _AL M _phf while satisfying the power balancing equation Determined by conditions.

The hole bottom of the bending yield mechanisms _m B _l of Bending Strength Figure 9 (D), shows a flexural yield mechanism _m B _l hole bottom. The flange bears the axial force acting on the beam. When a shearing force of Q _ph is acting on the beam, the total plastic bending strength _BL M _phf of the yield mechanism _m B _l is given by the following equation.
_{BL M phf = B · t f} · (H-t f) (F-σ f -σ n) ··· (3.4.1)
Here, σ _f is the degree of direct stress generated in the flange by the feelering action, and σ _n is the degree of direct stress generated in the flange by the axial force. Assuming that the horizontal proof stress of the yield section B is U, the following equation is established according to Mises' yield condition.

Here, an angle θ variables of a line connecting the hole green h _V and Anashin the yield sectional due to part to bear direct stresses, conditions for the _BL M _phf minimized while satisfying the power balancing equation Determined by
In some cases, the yield mechanism _m B _l does not satisfy the force balance equation and may not obtain a solution. In this case, it is considered that mechanism _m B _l does not occur and mechanism _m A _l occurs.

Shear strength of continuous holes In the case of continuous holes, if the gap between the cores is greater than or equal to the beam, it is treated as a single hole. If the gap between the cores is less than or equal to the beam, consider the effects of the adjacent holes and perform the following investigation.

Shear Strength of Continuous Inter-hole Web FIG. 10 shows the yield mechanism of the continuous inter-hole web. As shown in the figure, virtual rectangular holes are assumed for adjacent holes.
When the hole spacing is less than or equal to the beam, the web between adjacent holes yields. The shear strength V ₀ of the yield cross section C is expressed by the following equation.
V ₀ = (k ₁ −ν ₁ ) (t _w + t _PL ) τ _y + k ₀ · t _w · τ _y + (k ₂ −ν ₂ ) (t _w + t _PL2 ) τ _y
Here, the width ν ₁ of the portion that bears the degree of direct stress due to the bending moment is a variable, and is determined under the condition of minimizing V ₀ while satisfying the following force balance equation.
It gives the interval k ₀ of the reinforcing plates by the following equation.

Shear Strength Figure 11 shear yield mechanism _s A _u continuous pores upper showing the shear yield mechanism _s A _u continuous pores upper.
The shear strength V _{AU of the} upper part of the hole considering the feelendel action is given by the following equation.
V _AU = h _s · t _w · τ _y + (h _s −g _U ) · t _PL · τ _y
Here, the length h _s of the shear nucleus is a variable, and is determined under the condition of minimizing V _AU while satisfying the following force balance equation. The bending moment M _AU acting on the yield cross section A is given by the following equation.

Here, the angle θ _A of the line segment connecting the hole core and the hole edge of the yield cross section is a variable, and is determined under the condition of minimizing V _AU . M ₀ is the moment at point T generated by the yield shear force V ₀ between adjacent holes. Point T is the intersection of the centroid of the T-shaped cross section at the top of the cross section of the hole core and the center line between both holes. If the distance from the hole center to the centroid of the T-shaped cross section is y, M ₀ is given by
M ₀ = V ₀ · y
The balance condition of normal stress due moment and M _AU acting on breakdown section A, the following equation holds.

Shear Strength Figure 12 shear yield mechanism _s B _u continuous pores upper showing the shear yield mechanism _s B _u of continuous pores upper.
The shear strength V _{BU of the} upper part of the hole considering the feelendel action is given by the following equation.
V _BU = h _s · t _w · τ _y
Here, the length h _s of the shear nucleus is a variable, and is determined under the condition of minimizing V _BU while satisfying the following force balance equation. When the yield strength in the horizontal direction of the yield cross section B is U, the following equation is established from the Mises yield condition.

Here, M ₀ is the moment at the T point generated by the yield shear force V ₀ between adjacent holes. Point T is the intersection of the centroid of the T-shaped cross section at the top of the cross section of the hole core and the center line between both holes. If the distance from the hole center to the centroid of the T-shaped cross section is y, M ₀ is given by
M ₀ = V ₀ · y
Balance, conditions of normal stress due moment and M _AU acting on breakdown section A, the following equation holds.

なお、降伏機構_sＢ_uは、場合によっては力の釣合い式を満足できず、解が得られない場合がある。その場合は機構_sＢ_uは生じず、機構_sＡ_uが生じると考える。

Incidentally, the yield mechanism _s B _u may optionally not be satisfied the balance equation of the force, there is a case where the solution is not obtained. In that case, the mechanism _s B _u does not occur, and the mechanism _s A _u appears.

Shear Strength Figure 13 shear yield mechanism _s A ₁ continuous hole bottom shows the shear yield mechanism _s A ₁ continuous hole bottom.
The shear strength _VAL at the bottom of the hole in consideration of the feelendel action is given by the following equation.
V _AL = h _s · t _w · τ _y + (h _s −g _L ) · t _PL · τ _y
Here, the length h _s of the shear nucleus is a variable, and is determined under the condition of minimizing V _AL while satisfying the following force balance equation. The bending moment M _AL acting on the yield section A is given by the following equation.

Here, the angle θ _A of the line segment connecting the hole core and the hole edge of the yield cross section is a variable, and is determined under the condition of minimizing V _AL . M ₀ is the moment at point T generated by the yield shear force V ₀ between adjacent holes. Point T is the intersection of the centroid of the T-shaped cross section at the bottom of the cross section of the hole core and the center line between both holes. If the distance from the hole center to the centroid of the T-shaped cross section is y, M ₀ is given by
M ₀ = V ₀ · y
The balance condition of normal stress due moment and M _AL acting on breakdown section A, the following equation holds.

Shear Strength Figure 14 shear yield mechanism _s B _l continuous hole bottom shows the shear yield mechanism _s B _l of continuous pores lower. The shear strength V _BL at the bottom of the hole considering the feelendel action is given by the following equation.
V _BL = h _s · t _w · τ _y
Here, the length h _s of the shear nucleus is a variable, and is determined under the condition of minimizing V _BL while satisfying the following force balance equation. When the yield strength in the horizontal direction of the yield cross section B is U, the following equation is established from the Mises yield condition.

Here, M ₀ is the moment at the T point generated by the yield shear force V ₀ between adjacent holes. Point T is the intersection of the centroid of the T-shaped cross section at the bottom of the cross section of the hole core and the center line between both holes. If the distance from the hole center to the centroid of the T-shaped cross section is y, M ₀ is given by
M ₀ = V ₀ · y
Balance, conditions of normal stress due moment and M _AL acting on breakdown section A, the following equation holds.

なお、降伏機構_sＢ_lは、場合によっては力の釣合い式を満足できず、解が得られない場合もある。その場合は機構_sＢ_lは生じず、機構_sＡ_Lが生じると考える。

In some cases, the yield mechanism _s B _l does not satisfy the force balance equation and may not obtain a solution. In this case, it is considered that mechanism _s B _l does not occur and mechanism _s A _L occurs.

Bending strength of continuous holes When the hole center spacing is smaller than the beam, the shear strength is smaller than that of a single hole, so the direct stress in the flange caused by the feeler action is smaller than that of a single hole. Therefore, the bending strength of the continuous hole is larger than that of the single hole. In this method, as the safety side, the bending strength of the continuous hole is the same as the bending strength of the single hole.

Examination of buckling of reinforcing plate This examination is a matter found in the present invention. By preventing shear buckling at an early stage, welding inside the reinforcing plate can be omitted.
When the reinforcing plate with holes is subjected to a shearing force, the shear buckling coefficient is lowered according to the ratio of the hole diameter to the size of the reinforcing plate. The shear buckling coefficient k _s is given by the following equation with reference to the steel structure buckling design guideline.

  Next, the bending moment and shearing force acting on the through hole will be described. In this embodiment, the bending moment and the shearing force are used for reinforcement determination at the time of short-term load, at the time of long-term load, and at the time of ultimate, but here, only the case of the ultimate time will be described, The explanation is omitted for a long-term load.

Bending moment and shearing force acting on the through-hole at the end of time The design formula of the perforated beam is derived with reference to Kato and Kaneko's literature (Non-Patent Document 1). As shown in FIG. 15, a beam that receives a horizontal load and an equally distributed load w is assumed. Assume that the M-Q correlation (FIG. 16) between the bending moment M _E and the shearing force Q _E in the all-plastic state of the beam end (devoid portion) is as follows.

Here, M _p is the total plastic moment of the beam, M _pf is the total plastic moment of the flange, and Q _y is the yield shear force (defect-free portion) of the web.
The bending moment distribution when the beam is in a fully plastic state considering the shearing force at both ends is expressed by the following equation.

Here, M _PL and M _PR is bending moment in all plastic state of the left and right edges, respectively, L is the beam span, x is the distance from the beam end, w is a uniformly distributed load acting on the beam.
The equally distributed load w is on condition that no maximum bending moment is generated in the span at the end. This condition is expressed by equation (4).

The beam end shear force in the fully plastic state is expressed by the following equations (5L) and (5R).

Here, Q _L and Q _R are shear forces in the fully plastic state at the left end and the right end, respectively.
If the simultaneous equations are solved by substituting the equation (5) into the bending moments M _PL , M _PR and QE in the equation (1) in the fully plastic state of the beam end, the following equation is obtained.

Here, h is due to the beam. By substituting Eq. (6) into Eq. (5), the shear forces Q _L and Q _R in the fully plastic state of the beam end are expressed by the following equations.

The shear forces _D Q _L and _D Q _R acting at a position d away from the beam end are expressed by the following equation using x = d and L−d in equation (3) and using equation (6). The above d corresponds to the distance L2 shown in FIGS.

The bending moments _D M _PL and _D M _PR acting at a position d away from the beam end are expressed by the following equation using x = d, L− in equation (2) and using equation (6).

  The bending moment and the shearing force calculated in this way are used as the bending moment and the shearing force acting on the through hole at the final time in comparison with the shearing strength and the bending strength.

The performance confirmation by experiment will be explained.
The validity of the design formula and reinforcement is examined by numerical analysis using the finite element method. The analysis method was elasto-plastic finite element analysis considering material nonlinearity and geometric nonlinearity, and was performed using general-purpose structural analysis program MSC.Marc2000 (trade name).
FIG. 18 shows an analysis target, and FIG. 19 shows a finite element model. The element is a 4-node thick shell element. A cantilever beam with concentrated load acting on the end of the material is assumed, and w = 0 is assumed for an evenly distributed load.

  Tables 1 and 2 show a list of specimens. The experiment was conducted twice, PHASE-1 and PHASE-2. The number of test specimens was 12 in PHASE-1 and 11 in PHASE-2, for a total of 23 specimens. All steel grades are SS400. For the beam size, except for P2-9, all flanges and webs use FA-ranked RH-400 × 200 × 8xl3, and only P2-9 has BH-400 × 200 × 6 × 12 where the beam web is FB rank. used. RH-400 × 400 × 13 × 21 is used as a jig simulating a column. The beam flange is welded into a full groove using a backing metal, the web is fillet welded, and non-scalloped. Yes. Experimental variables are hole area ratio, hole eccentricity, continuous hole, presence / absence of reinforcing plate, and beam length.

Yield strength Table 3 lists the experimental results of PHASE-1, and Table 4 lists the experimental results of PHASE-2. The yield strength and the total plastic strength were determined by the 1/3 slope factor method and the 1/6 slope factor method as shown in FIG. In PHASE-1, the yield load, total plastic load, and maximum load are all measured for the case where a through hole with an opening ratio of 60% is installed at a distance of l / 2 times and 1,0 times the beam edge from the beam end. It turns out that it has fallen. On the other hand, in the case where a through hole having a hole area ratio of 60% is installed at a distance of 1 times the beam, a decrease in the maximum load is observed, but a significant decrease in the yield load and the total plastic load is not observed. In PHASE-2 P2-1 to P2-8, except for P2-2 and P2-7, which are unreinforced specimens, the yield load, total plastic load, and maximum proof stress are almost the same for all specimens. Yes.

Initial stiffness Tables 5 and 6 list the initial stiffness of RH-400 x 200 x 8 x 13 specimens with a shear span of 1700 mm. P1-2 to P1-12 and P2-2 to P2-8, which are preceded by bending fracture, are 0.95 to 1.07 regardless of the presence or absence of reinforcement, eccentricity, the number of holes, and the reinforcement method, and are almost the same as non-porous beams It is rigid.

Comparison of experimental yield strength and calculated value Table 7 shows a comparison of experimental and calculated values of yield strength and total plastic strength of PHASE-1, and Table 8 shows experimental values and calculations of yield strength and total plastic strength of PHASE-1. A comparison of values is shown. In the experiment mainly using unreinforced through-holes of PRASE-1, the ratio of the experimental value / calculated value can be appropriately evaluated as 1.02 to 1.26 for yield strength and 1.02 to 1.26 for total plastic strength. In the experiment in which the through hole of PHASE-2 was reinforced, the ratio of the experimental value / calculated value was 1.04 to 1,34 for yield strength and 1.09 to 1.41 for total plastic strength, which was evaluated appropriately as in PHASE-1.

Plastic deformation capacity Tables 9 and 10 show the plastic ratios of the respective specimens. Tables 11 and 12 show the plastic deformation magnification of each specimen. When PHASE-1 P1-1 specimen is used as a basic specimen and compared with other specimens, the non-reinforced specimen is 30% non-reinforced, P1-2, and the porosity is 60% unreinforced. Decline in plastic deformation capacity was confirmed for P1-3, unreinforced specimen P1-4 with an opening rate of 60% and an opening position 1.0 times that of the beam, but the other specimens were equivalent. That was all. Compared with the P2-1 to P2-8 specimens with the PHASE-2 P2-1 specimen as the basic specimen, all specimens are more than the P2-1 specimen with non-hole beams regardless of whether they are reinforced or not. It has the following plastic deformation ability.

Follow-up to web deformation of reinforcing plate Comparison of the state near the through hole at +2 θp and after the end of the test was made using a photograph (the photograph is not shown). The test body is a test body in which only the outer peripheral portion of the reinforcing plate is welded on the entire circumference. P1-12, P2-3, P2-4, P2-5, P2-6, P2-8, P2-9 and P2- 10 It was confirmed that the reinforcing plate buckled before the beam web for P2-10, in which the thickness of the reinforcing plate (4.5 mm) was two sizes smaller than the thickness of the beam web (8 mm). However, when the beam web subsequently buckled, the reinforcing plate showed a behavior following the deformation of the beam web. For the other specimens, the buckling behavior of the reinforcing plate showed a behavior following the beam web until reaching the final state.

Summary ・ The ratio of the experimental yield strength and the calculated yield strength is 1.02 to 1.34, which can be evaluated appropriately on the safety side.
-The ratio between the experimental total plastic strength and the calculated total plastic strength is 1.02 to 1.41, which can be evaluated appropriately on the safe side.
・ In both PHASE-1 and PHASE-2, the ratio of the initial stiffness of the non-hole beam specimen and the specimen having a through hole was 0.95 to 1.07, and the effect of the decrease in the initial stiffness due to the through hole was not observed.
・ Plastic deformation ratio tends to decrease when the through-hole diameter is large compared to non-porous beams, but shows the same performance as non-porous beams when reinforced with a reinforcing plate.
・ Reinforcement plates and beam webs showed similar behavior until the end of the experiment.
From the above test results, the validity of the design formula and reinforcement was confirmed.

  Next, the steel beam through-hole reinforcement design support device 30 will be described with reference to FIGS. The reinforcement design support device 30 is configured by a computer. This reinforcement design support apparatus 30 shows the reinforcement content which reinforces the periphery of the formation part of the through-hole 2 of the steel beam 1 when providing the through-hole 2 in the web 1a of the steel beam 1 (FIG. 5) as mentioned above. The following condition input means 31, reinforcement determination calculation means 32, calculation result display means 33, and display device 34 are provided. The display device 34 is a device that performs screen display such as a liquid crystal display device or a CRT.

  The condition input means 31 inputs condition data including at least the cross-sectional dimension information of the steel beam, the beam length, the hole diameter of the through hole, and the distance d from the beam end to the center of the through hole, or takes in from predetermined data registration means. Means. Data input by the condition input means 31 may be input by an operator from a keyboard or the like, or may be automatically input in an appropriate building design process. Specifically, for example, as shown in FIG. 22, the condition input means 31 outputs an input screen G1 to the display device 34, and a blank portion corresponding to the input item is provided on this screen, and the input item is provided in this blank portion. Numerals, numbers, symbols, etc. shall be entered.

  The calculation result display means 33 in FIG. 18 is a means for outputting the result calculated by the reinforcement determination calculation means 32 to the display device 34 or a printer. An example of the calculation result output screen G2 is shown in the lower part of FIG. In the example shown in the figure, the input screen G1 and the calculation result output screen G2 are displayed side by side on the same screen of the same display device 34. In addition, on the screen displaying the input screen G1 and the output screen G2, the symbol explanatory diagram image G3 and the through-hole MQ correlation diagram image G4 are displayed together.

18 is a means for determining the presence / absence of reinforcement and calculating the amount of reinforcement when reinforcement is required from the condition data obtained by the condition input means 31.
This reinforcement determination calculation means 32 is made up of the following conditions (A), (B),
(A) (shearing force acting on the hole of the beam) <(shearing strength of the hole of the beam)
(B) (Bending moment acting on beam hole) <(Bending strength of beam hole)
It is determined that the reinforcement is not necessary when it is calculated and satisfied.
If not satisfied, the following conditions (1) to (3),
(1) (Shearing force acting on the hole of the beam) <(Shearing strength of the hole of the reinforced beam)
(2) (Bending moment acting on the hole of the beam) <(Bending strength of the hole of the reinforced beam)
(3) (Shear buckling stress degree of reinforcing plate)> (Allowable shear stress degree of steel material of reinforcing plate)
Calculate the size, thickness, and number of double-sided or single-sided reinforcing plates that satisfy all
The shear buckling stress degree τ _cr of the reinforcing plate used for the condition satisfaction determination of the condition (3) is a value obtained by the following equation.
In addition, the meaning which each code | symbol in the following each formula shows is the same as the meaning demonstrated about the reinforcement standard display tool 10. FIG.

In the calculation by the reinforcement determination calculation means 32, the condition (1) “(shearing force acting on the hole of the beam) <(shear strength of the hole of the reinforced beam)” is used to determine whether the condition is satisfied. For the shear strength Q _ph of the hole of the beam,
Each of the cross sections of the reinforced beam divided into a hole upper part and a hole lower part with respect to the through hole, each of which is divided into a part that becomes a shear core that is responsible for shearing force and a part that is responsible for bending due to the feeler action As a yield mechanism for various types of shear strength calculations,
Yield mechanism _s A _{u at} the top of the hole when the shear yield section is formed on the upper side of the reinforcing plate,
Yield mechanism _s B _u above the hole when a shear yield cross section is formed on the side of the reinforcing plate,
Yield mechanism _s A _{1 at} the top of the hole when the shear yield section is formed under the reinforcing plate,
Yield mechanism _s B _{l at} the top of the hole when the shear yield section is formed on the side of the reinforcing plate,
Assuming
For each of the top and bottom of the hole, the smaller value of the shear strength calculated by both yield mechanisms is adopted, and the value given by the following equation, which is the sum of the shear strength of the adopted top and bottom holes _{Is the} shear strength _Qph .
Q _ph = min (V _AU , V _BU ) + min (V _AL , V _BL )
However,
V _AU: hole the top of the shear yield mechanism _s A _u yield shear strength of,
V _BU : Yield shear strength of the shear yield mechanism _s B _u above the hole,
V _AL : Yield shear strength of the shear yield mechanism _s A _{1 at} the bottom of the hole,
V _BL : Yield shear strength of the shear yield mechanism _s B _l above the hole,

The bending strength M of the reinforced beam hole used in the condition (2) “(bending moment acting on the beam hole) <(bending strength of the reinforced beam hole)”. _{For phf,} there are two types of bending, each of which is divided into a section responsible for shearing force and a section responsible for bending due to the feelering action, in each cross section where the reinforced beam is divided into the upper part and the lower part of the through hole. Yield mechanism of yield strength calculation,
The yield mechanism _m A _u above the hole when the shear yield section is formed on the upper side of the reinforcing plate,
The yield mechanism _m B _{u at} the top of the hole when a shear yield section is formed on the side of the reinforcing plate,
Yield mechanism of hole top when shear yield sectional below the reinforcing plate is molded _m A _l,
Yield mechanism _m B _{l at} the top of the hole when a shear yield section is formed on the side of the reinforcing plate,
Assuming
For each of the top and bottom of the hole, the value given by the following equation using the smaller value of the shear strength calculated by both yield mechanisms.

According to the reinforcement design support device 30 of this configuration, by inputting condition data such as the cross-sectional dimension information of the steel beam 1, the beam length, the hole diameter of the through hole 2, and the distance d from the beam end to the center of the through hole, The presence / absence of reinforcement and the calculation of the amount of reinforcement when reinforcement is required are performed, and the result is displayed on the screen of the display device 34. Therefore, it is easy to understand the necessary reinforcement. In this case, the presence / absence of reinforcement and the calculation of the amount of reinforcement include the distance d from the beam end to the center of the through hole, and are based on the above formulas. It is avoided to do.
In particular, in the reinforcing design support device 30 having this configuration, since the shear buckling of the reinforcing plate 3 is examined when the reinforcing plate 3 is installed, it is possible to design a reinforcement in which only the outer periphery of the reinforcing plate 3 is welded. In addition to avoiding deformation of the steel beam accompanying reinforcement, the reinforcement work can be facilitated.

DESCRIPTION OF SYMBOLS 1 ... Steel beam 2 ... Through-hole 3 ... Reinforcement plate 4 ... Column 10 ... Reinforcement standard indicator 11 ... List 11A ... Reinforcement list 11B for large beam middle region area ... Reinforcement list 11C for large beam plasticization region ... For small beam Reinforcement list 12 ... Row headline display 13 ... Column headline display 14 ... Display indicating a line indicating the distance to the non-reinforcement area 15 ... Reinforcement content display 15a ... Display 111 indicating that no reinforcement is required ... Usage condition table
_s A _u , _s B _u , _s A ₁ , _s B ₁ ... Shear yield mechanism
_m A _u , _m B _u , _m A ₁ , _m B ₁ ... bending yield mechanism E1 ... plasticized region E2 ... unreinforced region L1 ... distance to plasticized region L2 ... distance to unreinforced region

Claims (4)

When a through hole is provided in a steel beam web, the reinforcement design method is to reinforce the periphery of the formation part of the steel beam through hole, using a steel beam through hole reinforcement standard indicator, ,
In the list, the cross-sectional dimension information of the steel beam of various cross-sectional dimensions is displayed as the row header display in each row of the column that becomes the heading of the table, and the column header display is displayed in the column of each column of the row that becomes the heading of the table Display the various through-hole diameters in order, and as a row heading display of the predetermined row in the above table, it indicates that the row from the beam end to the unreinforced region,
In each cell that becomes each column part in the row indicating the distance to this unreinforced region, various distances to the unreinforced region are displayed in order,
The cross-sectional dimension information and the hole diameter corresponding to the heading display content in the cell that is the region where any row where the row heading is displayed with the cross-sectional dimension information in the above table and any column where the column heading is displayed with the hole diameter intersects. , And the reinforcement content corresponding to each condition of the distance to the unreinforced region displayed in the predetermined row in the column where the cell is located,
This reinforcement content is made of steel having through-holes that are aligned with the through-holes around the through-holes of the web when the location where the through-holes of the beam are provided is equal to or less than the distance to the unreinforced region. The reinforcing plate is overlapped on both sides or one side and the outer periphery of this reinforcing plate is reinforced by fillet welding to the web,
The content displayed in the cell is the size of the reinforcing plate that satisfies all of the following conditions (1) to (3), the plate thickness, and the display of the number of sheets indicating whether it is double-sided or single-sided,
The condition is
(1) (Shearing force acting on the hole of the beam) <(Shearing strength of the hole of the reinforced beam)
(2) (Bending moment acting on the hole of the beam) <(Bending strength of the hole of the reinforced beam)
(3) (Shear buckling stress degree of reinforcing plate)> (Allowable shear stress degree of steel material of reinforcing plate)
And
As the contents of reinforcement, a cell indicating that reinforcement is not required is given a display indicating that reinforcement is not required,
As the above-mentioned reinforcement contents, a label indicating that individual examination is necessary is given to cells that need individual examination,
As the list of the standard reinforcement indicator, a reinforcing list for the middle region of the beam showing the contents in the middle region of the large beam, and a reinforcing list for the plasticizing region of the large beam showing the contents in the case of the plasticizing region of the large beam Conditions for using a table, a reinforcement list for a small beam showing the contents in the case of a small beam, and a reinforcement list for a cantilever beam showing the contents of a cantilever and using each of the above lists Use the one that has a use condition table showing
When it does not correspond to the use conditions described in the use condition table, and when applying to beams other than the beams listed in the reinforcement list, use the specified individual examination method,
The defined individual examination method is applied when the through hole is circular and the reinforcing plate is rectangular,
The conditions,
(1) (Shearing force acting on the hole of the beam) <(Shearing strength of the hole of the reinforced beam) (2) (Bending moment acting on the hole of the beam) <(Hole of the reinforced beam) Bending strength)
(3) (Shear buckling stress degree of reinforcing plate)> (Allowable shear stress degree of steel material of reinforcing plate)
Are satisfied individually,
In the condition (3),
(Shear buckling stress degree of reinforcing plate)> (Allowable shear stress degree of steel material of reinforcing plate),
The degree of shear buckling stress τcr of the reinforcing plate used for the condition satisfaction judgment of

The shear strength Qph of the hole of the reinforced beam used for the satisfaction of the condition (1) “(shearing force acting on the hole of the beam) <(shear strength of the hole of the reinforced beam)” about,
Each of the cross sections of the reinforced beam divided into a hole upper part and a hole lower part with respect to the through hole, each of which is divided into a part that becomes a shear core that is responsible for shearing force and a part that is responsible for bending due to the feeler action As a yield mechanism for various types of shear strength calculations,
Yield mechanism _s A _{u at} the top of the hole when the shear yield section is formed on the upper side of the reinforcing plate,
Yield mechanism _s B _u above the hole when a shear yield cross section is formed on the side of the reinforcing plate,
Yield mechanism _s A _{l at} the bottom of the hole when a shear yield section is formed under the reinforcing plate
Yield mechanism _s B _{l at} the bottom of the hole when a shear yield section is formed on the side of the reinforcing plate,
Assuming
For each of the top and bottom of the hole, the smaller value of the shear strength calculated by both yield mechanisms is adopted, and the value given by the following equation, which is the sum of the shear strength of the adopted top and bottom holes _{Is the} shear strength Q _ph ,
Q _ph = min (V _AU , V _BU ) + min (V _AL , V _BL )
The bending strength M of the reinforced beam hole used in the condition (2) “(bending moment acting on the beam hole) <(bending strength of the reinforced beam hole)”. _{For phf,} there are two types of bending, each of which is divided into a section responsible for shearing force and a section responsible for bending due to the feelering action, in each cross section where the reinforced beam is divided into the upper part and the lower part of the through hole. Yield mechanism of yield strength calculation,
The yield mechanism _m A _{u at} the top of the hole when the shear yield section is formed on the upper side of the reinforcing plate,
The yield mechanism _m B _{u at} the top of the hole when a shear yield section is formed on the side of the reinforcing plate,
Yield mechanism of hole bottom when shear yield sectional below the reinforcing plate is formed _m A _l,
Yield mechanism _m B _{l at} the bottom of the hole when a shear yield section is formed on the side of the reinforcing plate,
Assuming
For each of the top and bottom of the hole, the value given by the following equation using the smaller value of the shear strength calculated by both yield mechanisms.

The reinforcing design method for a steel beam through-hole according to claim 1, wherein the through-hole is circular and the reinforcing plate is rectangular, and the condition (3) is satisfied.
  (Shear buckling stress degree of reinforcing plate)> (Allowable shear stress degree of steel material of reinforcing plate),
Shear Buckling Stress τ of Reinforcing Plate Used for Judgment of Condition Satisfaction _cr Reinforcement design method for steel beam through-holes with the value obtained by the following equation.

Where R: radius of the through hole
_V B _PL   : Vertical width of reinforcing plate
_H B _PL   : Width of reinforcing plate
t _PL   : Reinforcement plate thickness
α: Aspect ratio of reinforcing plate
E: Young's modulus
ν: Poisson's ratio In the reinforcement design method of the steel beam through-hole according to claim 2, as the reinforcement standard indicator,
The shear strength Q of the hole of the reinforced beam used in the condition satisfaction determination of the condition (1) “(shearing force acting on the hole of the beam) <(shear strength of the hole of the reinforced beam)” _ph about,
  Each of the cross sections of the reinforced beam divided into a hole upper part and a hole lower part with respect to the through hole, each of which is divided into a part that becomes a shear core that is responsible for shearing force and a part that is responsible for bending due to the feeler action As a yield mechanism for various types of shear strength calculations,
  Yield mechanism at the top of the hole when the shear yield section is formed on the upper side of the reinforcing plate _s A _u  ,
  Yield mechanism at the top of the hole when shear yield section is formed on the side of the reinforcing plate _s B _u  ,
  Yield mechanism at the bottom of the hole when shear yield section is formed under the reinforcing plate _s A _l  ,
  Yield mechanism at the bottom of a hole when a shear yield section is formed on the side of a reinforcing plate _s B _l  ,
Assuming
  For each of the top and bottom of the hole, the smaller value of the shear strength calculated by both yield mechanisms is adopted, and the value given by the following equation, which is the sum of the shear strength of the adopted top and bottom holes Shear strength Q _ph age,
          Q _ph = Min (V _AU , V _BU ) + Min (V _AL , V _BL )
    However,
    V _AU ： Shear yield mechanism above the hole _s A _u Of yield shear strength,
    V _BU ： Shear yield mechanism above the hole _s B _u Of yield shear strength,
    V _AL : Shear yield mechanism at the bottom of the hole _s A _l Of yield shear strength,
    V _BL : Shear yield mechanism at the bottom of the hole _s B _l Of yield shear strength,
  The bending strength M of the reinforced beam hole used in the condition (2) “(bending moment acting on the beam hole) <(bending strength of the reinforced beam hole)”. _phf  For each section, the reinforced beam is divided into two parts, one for the shearing force and the other for the bending due to the feelering action. The yield mechanism of operation,
  Yield mechanism at the top of the hole when the shear yield section is formed on the upper side of the reinforcing plate _m A _u  ,
  Yield mechanism at the top of the hole when shear yield section is formed on the side of the reinforcing plate _m B _u  ,
  Yield mechanism at the bottom of the hole when shear yield section is formed under the reinforcing plate _m A _l  ,
  Yield mechanism at the bottom of a hole when a shear yield section is formed on the side of a reinforcing plate _m B _l  ,
Assuming
  Reinforcement design method for steel beam through-holes using a standard reinforcement indicator with a value given by the following equation, using a small value of the shear strength calculated by both yield mechanisms for each of the top and bottom of the hole.

    However,
_AU M _phf  ： Shear yield mechanism above the hole _m A _u  Of all-plastic bending strength,
_BU M _phf  ： Shear yield mechanism above the hole _m B _u  Of all-plastic bending strength,
_AL M _phf  : Shear yield mechanism at the bottom of the hole _m A _l  Of all-plastic bending strength,
_BL M _phf  : Shear yield mechanism at the bottom of the hole _m B _l  Total plastic bending strength. When a through-hole is provided in a steel beam web, a steel reinforcing plate having a through-hole aligned with the through-hole is overlapped on both sides or one side around the through-hole of the web so that the outer periphery of the reinforcing plate is When reinforcing the periphery of the formation part of the through hole of the steel beam by welding the fillet to the web, the reinforcement content is the number of sheets indicating the size, thickness, and both sides or one side of the reinforcing plate. The steel beam through hole reinforcement design support device shown,
Condition input means for inputting condition data including at least the cross-sectional dimension information of the steel beam, the beam length, the hole diameter of the through hole, and the distance from the beam end to the center of the through hole, or taking in from the predetermined data registration means,
From the condition data obtained by this condition input means, the reinforcement determination calculation means for calculating the presence or absence of reinforcement and the amount of reinforcement when reinforcement is required,
Computation result display means for displaying the result computed by the reinforcement judgment computation means,
The reinforcement determination calculation means includes the following conditions (A), (B),
(A) (shearing force acting on the hole of the beam) <(shearing strength of the hole of the beam)
(B) (Bending moment acting on beam hole) <(Bending strength of beam hole)
When calculating whether to satisfy or not, it is determined that reinforcement is not necessary,
If not satisfied, the following conditions (1) to (3),
(1) (Shearing force acting on the hole of the beam) <(Shearing strength of the hole of the reinforced beam)
(2) (Bending moment acting on the hole of the beam) <(Bending strength of the hole of the reinforced beam)
(3) (Shear buckling stress degree of reinforcing plate)> (Allowable shear stress degree of steel material of reinforcing plate)
Calculate the size, thickness, and number of double-sided or single-sided reinforcing plates that satisfy all
The shear buckling stress degree τ _cr of the reinforcing plate used for the condition satisfaction determination of the above condition (3) is a value obtained by the following equation:

Where R: radius of the through hole
_V B _PL : Vertical width of reinforcing plate
_H B _PL : width of reinforcing plate
t _PL : Thickness of reinforcing plate
α: Aspect ratio of reinforcing plate
E: Young's modulus
ν: Poisson's ratio Reinforced beam hole used in the condition (1) “(shearing force acting on beam hole) <(shear strength of reinforced beam hole)” For shear strength Q _ph of
Each of the cross sections of the reinforced beam divided into a hole upper part and a hole lower part with respect to the through hole, each of which is divided into a part that becomes a shear core that is responsible for shearing force and a part that is responsible for bending due to the feeler action As a yield mechanism for various types of shear strength calculations,
Yield mechanism _s A _{u at} the top of the hole when the shear yield section is formed on the upper side of the reinforcing plate,
Yield mechanism _s B _u above the hole when a shear yield cross section is formed on the side of the reinforcing plate,
Yield mechanism _s A _{l at} the bottom of the hole when a shear yield section is formed under the reinforcing plate
Yield mechanism _s B _{l at} the bottom of the hole when a shear yield section is formed on the side of the reinforcing plate,
Assuming
For each of the top and bottom of the hole, the smaller value of the shear strength calculated by both yield mechanisms is adopted, and the value given by the following equation, which is the sum of the shear strength of the adopted top and bottom holes _{Is the} shear strength Q _ph ,
Q _ph = min (V _AU , V _BU ) + min (V _AL , V _BL )
However,
V _AU: hole the top of the shear yield mechanism _s A _u yield shear strength of,
V _BU : Yield shear strength of the shear yield mechanism _s B _u above the hole,
V _AL: hole bottom of the shear yield mechanism _s A _l yield shear strength of,
V _BL : Yield shear strength of the shear yield mechanism _s B _l below the hole,
The bending strength M of the reinforced beam hole used in the condition (2) “(bending moment acting on the beam hole) <(bending strength of the reinforced beam hole)”. _{For phf,} there are two types of bending, each of which is divided into a section responsible for shearing force and a section responsible for bending due to the feelering action, in each cross section where the reinforced beam is divided into the upper part and the lower part of the through hole. Yield mechanism of yield strength calculation,
The yield mechanism _m A _{u at} the top of the hole when the shear yield section is formed on the upper side of the reinforcing plate,
The yield mechanism _m B _{u at} the top of the hole when a shear yield section is formed on the side of the reinforcing plate,
Yield mechanism of hole bottom when shear yield sectional below the reinforcing plate is formed _m A _l,
Yield mechanism _m B _{l at} the bottom of the hole when a shear yield section is formed on the side of the reinforcing plate,
Assuming
A steel beam through-hole reinforcement design support device with the value given by the following equation, which is the smallest value of the shear strength calculated by both yield mechanisms for each of the upper and lower holes.

However,
_AU M _phf : Total plastic bending strength of shear yield mechanism _m A _u above the hole,
_BU M _phf : Total plastic bending strength of shear yield mechanism _m B _u above the hole,
_AL M _phf : Total plastic bending strength of shear yield mechanism _m A _{l at} the bottom of the hole,
_BL M _phf : Total plastic bending strength of shear yield mechanism _m B _{l at} the bottom of the hole.

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