CN113536431A - Method for determining structural parameters of conversion beam - Google Patents
Method for determining structural parameters of conversion beam Download PDFInfo
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- 229910000831 Steel Inorganic materials 0.000 claims abstract description 27
- 239000010959 steel Substances 0.000 claims abstract description 27
- 239000000463 material Substances 0.000 claims abstract description 17
- 229910001294 Reinforcing steel Inorganic materials 0.000 claims abstract description 15
- 239000011241 protective layer Substances 0.000 claims abstract description 15
- 230000002787 reinforcement Effects 0.000 claims description 50
- 230000006835 compression Effects 0.000 claims description 30
- 238000007906 compression Methods 0.000 claims description 30
- 238000005452 bending Methods 0.000 claims description 10
- 238000010008 shearing Methods 0.000 claims description 8
- 238000004364 calculation method Methods 0.000 description 6
- 238000009435 building construction Methods 0.000 description 2
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- E—FIXED CONSTRUCTIONS
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- E04B—GENERAL BUILDING CONSTRUCTIONS; WALLS, e.g. PARTITIONS; ROOFS; FLOORS; CEILINGS; INSULATION OR OTHER PROTECTION OF BUILDINGS
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- E04B—GENERAL BUILDING CONSTRUCTIONS; WALLS, e.g. PARTITIONS; ROOFS; FLOORS; CEILINGS; INSULATION OR OTHER PROTECTION OF BUILDINGS
- E04B2/00—Walls, e.g. partitions, for buildings; Wall construction with regard to insulation; Connections specially adapted to walls
- E04B2/56—Load-bearing walls of framework or pillarwork; Walls incorporating load-bearing elongated members
- E04B2/64—Load-bearing walls of framework or pillarwork; Walls incorporating load-bearing elongated members with elongated members of concrete
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Abstract
The invention relates to the technical field of buildings, in particular to a method for determining structural parameters of a transfer beam. The method comprises the following steps of adjusting the positions of a first shear wall and a second shear wall which are arranged in a staggered mode through modeling operation in the width direction of a transfer beam, enabling the first shear wall and the second shear wall to be aligned in the middle of the transfer beam in the width direction, determining the total weight of the first shear wall, the second shear wall and a building structure above the first shear wall and the second shear wall, and presetting the concrete strength grade, the type of a reinforcing steel bar material, the section width, the section height, the thickness of a protective layer and the distance between stirrups of the transfer beam according to the total weight, so that the section area design value of an upper longitudinal bar, the section area design value of a lower longitudinal bar, the section area design value of the stirrups and the section area value of a waist longitudinal bar of the transfer beam are determined. The design value of the steel bar obtained by the method is accurate, and a designer can conveniently design the conversion beam.
Description
Technical Field
The invention relates to the technical field of buildings, in particular to a method for determining structural parameters of a transfer beam.
Background
Because of the requirement of building function, the vertical member at the upper part in the building can not continuously run through from top to bottom and fall to the ground, but is connected with the vertical member at the lower part through a horizontal conversion structure, and the horizontal conversion structure is a conversion beam. Specifically, in a building, due to the fact that house types on the upper layer of the transfer beam are not consistent, the situation that shear walls are staggered occurs on the transfer beam, and when the shear walls are staggered, the load situation of the transfer beam located below the shear walls cannot be accurately calculated.
Disclosure of Invention
The application discloses a method for determining structural parameters of a transfer beam, and by using the method, a relatively accurate design value of the cross-sectional area of an upper longitudinal rib, a design value of the cross-sectional area of a lower longitudinal rib, a design value of the cross-sectional area of a stirrup and a design value of the cross-sectional area of a waist longitudinal rib can be obtained, so that a designer can design the transfer beam conveniently.
The application provides a method for determining structural parameters of a transfer beam, wherein the transfer beam is at least provided with a first shear wall and a second shear wall which are arranged in a staggered mode, a building structure is further arranged above the first shear wall and the second shear wall, and the method comprises the following steps:
alignment: adjusting the positions of the first shear wall and/or the second shear wall which are arranged in a staggered mode through modeling operation in the width direction of the transfer beam, so that the first shear wall and the second shear wall are aligned in the middle in the width direction of the transfer beam;
determining the quality: determining a total weight of the first shear wall, the second shear wall, and the building structure above the first shear wall and the second shear wall;
presetting: presetting the concrete strength grade, the type of the steel bar material, the section width, the section height, the thickness of the protective layer and the distance between stirrups of the conversion beam according to the total weight;
determining a design value of the steel bar: and determining a bending moment design value, a shearing force design value and a torque design value according to the concrete strength grade, the type of the reinforcing steel bar material, the section width, the section height, the thickness of the protective layer and the distance between the stirrups, which are determined in the step of presetting, and further determining a section area design value of an upper longitudinal bar, a section area design value of a lower longitudinal bar, a section area design value of a stirrup and a section area design value of a waist longitudinal bar of the conversion beam.
Furthermore, two ends of the conversion beam are respectively connected with the first conversion column and the second conversion column, the upper surface of the conversion beam is flush with the upper end surface of the first conversion column and the upper end surface of the second conversion column, the first shear wall is arranged on the first conversion column and the conversion beam, and the second shear wall is arranged on the second conversion column and the conversion beam.
Further, determining the design value of the cross-sectional area of the upper longitudinal rib and the design value of the cross-sectional area of the lower longitudinal rib includes:
acquiring a height value of a concrete compression zone, a height value of a relative limit compression zone and an effective height value of a section of the conversion beam;
calculating to obtain a first preset value according to the height value of the relative limit compression zone and the effective height value of the section of the conversion beam;
and comparing the height value of the concrete compression area with the first preset value, determining the section area of the first upper longitudinal rib and the section area of the first lower longitudinal rib when the height value of the concrete compression area is smaller than or equal to the first preset value, and resetting the section width and the section height when the height value of the concrete compression area is larger than the first preset value.
Further, determining the design value of the cross-sectional area of the upper longitudinal rib and the design value of the cross-sectional area of the lower longitudinal rib further includes:
determining a second preset value according to the effective height value of the section of the conversion beam and the section width, determining the first reinforcement ratio according to the second preset value and the section area of the first upper longitudinal rib, and determining the second reinforcement ratio according to the second preset value and the section area of the first lower longitudinal rib;
when the sum of the first reinforcement ratio and the second reinforcement ratio is larger than 2.5%, the section height and the section width are preset again;
when the sum of the first reinforcement ratio and the second reinforcement ratio is less than or equal to 2.5%, obtaining a minimum reinforcement ratio, determining the cross-sectional area of a minimum longitudinal rib according to the minimum reinforcement ratio, comparing the cross-sectional area of the minimum longitudinal rib with the cross-sectional area of the first upper longitudinal rib, taking a larger value as a design value of the cross-sectional area of the upper longitudinal rib, comparing the cross-sectional area of the minimum longitudinal rib with the cross-sectional area of the first lower longitudinal rib, and taking a larger value as a design value of the cross-sectional area of the lower longitudinal rib.
Further, acquiring the height value of the concrete compression zone comprises: obtaining an axle center compressive strength design value of concrete, and determining a height value of a concrete compression area according to an effective height value of a cross section of the conversion beam, the axle center compressive strength design value of the concrete and the bending moment design value;
obtaining the relative bounding compressed zone heights includes: and acquiring the concrete ultimate compressive strain of the right section, the design value of the tensile strength of the reinforcing steel bar and the elastic modulus of the reinforcing steel bar, and determining the height of the compression zone of the relative limit.
Further, determining the design value of the stirrup cross-sectional area comprises: obtaining a design value of tensile strength of concrete and an effective height value of the section of the conversion beam, and determining a third preset value according to the design value of tensile strength of concrete, the effective height value of the section of the conversion beam and the width of the section;
when the third preset value is smaller than the shear design value, the section width and the section height are preset again; and when the third preset value is greater than or equal to the shear preset value, determining the section area of the minimum stirrup.
Further, determining the design value of the cross-sectional area of the stirrup further comprises: determining a fourth preset value according to the design value of the tensile strength of the concrete, the section width and the section effective height of the conversion beam;
when the fourth preset value is smaller than the shear force design value, obtaining a tensile strength design value of a transverse steel bar, determining a first stirrup cross-sectional area according to the shear force preset value, the fourth preset value, the tensile strength design value of the transverse steel bar, the cross-sectional effective height of the conversion beam and the stirrup spacing, comparing the first stirrup cross-sectional area with the minimum stirrup cross-sectional area, and taking a larger value as the stirrup cross-sectional area design value; and when the fourth preset value is greater than or equal to the shear design value, taking the minimum stirrup cross-sectional area as the stirrup cross-sectional area design value.
Further, determining the design value of the cross-sectional area of the waist longitudinal rib comprises: acquiring a torsional plastic resisting moment of a cross section of a conversion beam and a designed value of axial center compressive strength of concrete, determining a fifth preset value according to the torsional plastic resisting moment of the cross section of the conversion beam, the width of the cross section, the effective height of the cross section of the conversion beam and the designed value of torque, and determining a sixth preset value according to the designed value of axial center compressive strength of the concrete;
when the fifth preset value is larger than the sixth preset value, the section width and the section height are preset again;
when the fifth preset value is smaller than or equal to the sixth preset value, determining a seventh preset value through the shear design value, the section width, the effective height of the section of the conversion beam and the torque design value, and acquiring a tensile strength design value of concrete to determine an eighth preset value; when the seventh preset value is larger than the eighth preset value, the sectional area of the waist longitudinal rib is determined, when the seventh preset value is smaller than or equal to the eighth preset value, the sectional area of the waist longitudinal rib is larger than or equal to A, and A is 0.1 time of the product of the sectional width and the effective height of the section of the conversion beam.
Further, when the fifth preset value is less than or equal to the sixth preset value, the method further includes: determining a ninth preset value according to the design value of the tensile strength of the concrete and the torsional plastic resisting moment of the section of the conversion beam;
when the ninth preset value is larger than or equal to the designed torque value, the section area of the waist longitudinal rib is larger than or equal to A, and A is 0.1 time of the product of the section width and the effective height of the section of the conversion beam; and when the ninth preset value is smaller than the designed torque value, determining the section area of the longitudinal waist rib.
Further, determining the cross-sectional area of the waist longitudinal rib comprises: and obtaining the reduction coefficient of the torsional bearing capacity of the concrete of the transfer beam, the reinforcement strength ratio of the torsional longitudinal reinforcement and the stirrup of the transfer beam, the design value of the tensile strength of the transverse reinforcement and the area of the core part of the section of the transfer beam, and determining the section area of the longitudinal reinforcement of the waist by combining the design value of the tensile strength of the concrete, the torsional plastic resisting moment of the section of the transfer beam, the design value of the torque and the distance between the stirrups.
Compared with the prior art, the invention has the following beneficial effects:
the load condition of the transfer beam can be calculated when the plurality of shear walls are positioned on the transfer beam and staggered, so that the design values of the cross-sectional areas of the upper longitudinal ribs, the lower longitudinal ribs, the stirrups and the waist longitudinal ribs of the transfer beam can be accurately obtained, and design of designers is facilitated.
Specifically, when at least a first shear wall and a second shear wall are arranged on the transfer beam, the first shear wall and the second shear wall are subjected to position adjustment through modeling operation in the width direction of the transfer beam, so that the first shear wall and the second shear wall are aligned in the middle of the width direction of the transfer beam. Because the contact areas of the first shear wall and the second shear wall with the transfer beam are unchanged, and the first shear wall and the second shear wall are aligned in the middle in the width direction of the transfer beam, the stress of the transfer beam is concentrated in the middle, so that the problem of serious unilateral unbalance is rarely caused in the width direction of the transfer beam, and the stress of the transfer beam in the width direction is more uniform, at the moment, a designer obtains the total weight of the first shear wall, the second shear wall and the building structure above the first shear wall and the second shear wall, and presets the concrete strength grade, the type of the reinforcing steel bar material, the section width, the section height, the thickness of the protective layer and the distance between stirrups of the transfer beam according to the total weight, so that the accurate section area design value of the upper longitudinal bars, the section area design value of the lower longitudinal bars, the section area design value of the stirrups and the section area design value of the waist longitudinal bars can be obtained, the design of the conversion beam is convenient for designers.
Drawings
In order to more clearly illustrate the technical solutions in the embodiments of the present invention, the drawings needed to be used in the embodiments will be briefly described below, and it is obvious that the drawings in the following description are only some embodiments of the present invention, and it is obvious for those skilled in the art that other drawings can be obtained according to these drawings without creative efforts.
FIG. 1 is a schematic view of a staggered structure of shear walls in an embodiment of the present application;
FIG. 2 is a top view based on FIG. 1;
FIG. 3 is a schematic view of a construction using a rigid beam instead of a transfer beam;
FIG. 4 is a schematic structural view of shear wall alignment in an embodiment of the present application.
Reference numerals: the structure comprises a 1-conversion beam, a 2-first shear wall, a 3-second shear wall, a 4-rigid beam, a 5-first conversion column and a 6-second conversion column.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
It should be noted that the terms "comprises" and "comprising," and any variations thereof, of embodiments of the present invention are intended to cover non-exclusive inclusions, such that a process, method, system, article, or apparatus that comprises a list of steps or elements is not necessarily limited to those steps or elements expressly listed, but may include other steps or elements not expressly listed or inherent to such process, method, article, or apparatus.
Before explaining the technical scheme of the present application, an application scenario related to the embodiment of the present application is explained.
Referring to fig. 1 and 2, different house types are generally required to be set in a building, so that the house types on the upper layer of a transfer beam 1 are not consistent, and a structure with a first shear wall 2 and a second shear wall 3 staggered on the transfer beam 1 occurs. Referring to fig. 3, in the related art, the load condition of the transfer beam 1 is generally calculated by using the rigid beam 4 to directly replace the staggered shear wall, and the stress state of the transfer beam 1 is known, so as to obtain the design value of the reinforcing steel bar of the transfer beam 1. However, in this method, the whole staggered shear wall is regarded as a small section of rigid beam 4, the rigid beam 4 is only in local contact with the transfer beam 1, and the load condition of the transfer beam 1 obtained by the local contact stress cannot sufficiently explain the load condition of the transfer beam 1, so a more accurate method is needed to calculate the load condition of the transfer beam 1.
The technical solution of the present application will be further described with reference to the following embodiments and accompanying drawings.
Referring to fig. 4, the present application provides a method for determining structural parameters of a transfer beam 1, where the transfer beam 1 is provided with at least a first shear wall 2 and a second shear wall 3 that are arranged in a staggered manner, and a building structure (not shown) is further provided above the first shear wall 2 and the second shear wall 3, and the method for determining the structural parameters includes the following steps:
alignment: in the width direction of the transfer beam 1 (the left-right direction of the transfer beam 1 in fig. 4), the first shear wall 2 and the second shear wall 3 which are arranged in a staggered manner are subjected to position adjustment through modeling operation, so that the first shear wall 2 and the second shear wall 3 are aligned in the middle of the width direction of the transfer beam 1, that is, the first shear wall 2 and the second shear wall 3 are moved from the positions in fig. 2 to the positions in fig. 4;
determining the quality: determining the total weight of the first shear wall 2, the second shear wall 3, and the building structure above the first shear wall 2 and the second shear wall 3;
presetting: presetting the concrete strength grade, the type of the steel bar material, the section width, the section height, the thickness of the protective layer and the stirrup spacing of the conversion beam 1 according to the total weight;
determining a design value of the steel bar: according to the concrete strength grade, the type of the steel bar material, the section width, the section height, the thickness of the protective layer and the distance between stirrups, which are determined in the presetting step, a bending moment design value, a shearing force design value and a torque design value are determined, and then a section area design value of an upper longitudinal bar, a section area design value of a lower longitudinal bar, a section area design value of a stirrup and a section area design value of a waist longitudinal bar of the transfer beam 1 are determined.
In the embodiment of the present application, when the first shear wall 2 and the second shear wall 3 are provided on the transfer beam 1, the first shear wall 2 and the second shear wall 3 are subjected to position adjustment along the width direction of the transfer beam 1 through modeling operation, so that the first shear wall 2 and the second shear wall 3 are aligned centrally in the width direction of the transfer beam 1. Because the contact areas of the first shear wall 2 and the second shear wall 3 with the transfer beam 1 are unchanged, and the first shear wall 2 and the second shear wall 3 are aligned in the middle of the transfer beam 1 in the width direction, the stress of the transfer beam 1 is concentrated in the middle, so that the problem that the single-side weight is serious rarely occurs in the width direction of the transfer beam 1, and the stress of the transfer beam 1 in the width direction is uniform. At this moment, a designer obtains the total weight of the building structures above the first shear wall 2, the second shear wall 3 and the first shear wall 2 and the second shear wall 3, and presets the concrete strength grade of the transfer beam 1, the type of the reinforcing steel bar material, the section width, the section height, the thickness of the protective layer and the distance between stirrups according to the total weight, so that a relatively accurate bending moment design value, a shear design value and a torque design value can be obtained, and then a relatively accurate section area design value of an upper longitudinal bar, a section area design value of a lower longitudinal bar, a section area design value of a stirrup and a section area design value of a waist longitudinal bar are determined.
It should be emphasized here that, since the transfer beam mainly depends on the upper longitudinal rib, the lower longitudinal rib, the stirrup and the waist longitudinal rib as the support, the reasonable setting of the cross-sectional area of the upper longitudinal rib, the cross-sectional area of the lower longitudinal rib, the cross-sectional area of the stirrup and the cross-sectional area of the waist longitudinal rib has a crucial influence on the structural strength of the transfer beam, so when the design value of the cross-sectional area of the upper longitudinal rib, the design value of the cross-sectional area of the lower longitudinal rib, the design value of the cross-sectional area of the stirrup and the design value of the cross-sectional area of the waist longitudinal rib are relatively accurate, the structural strength of the transfer beam can be ensured, and the structure of the transfer beam is more reliable.
It should be noted that a plurality of shear walls may also be arranged above the transfer beam 1, and at this time, when determining the structural parameters of the transfer beam 1, the plurality of shear walls need to be aligned centrally along the width direction of the transfer beam 1, so that it can be ensured that the obtained structural parameters of the transfer beam 1 are more accurate, where the structural parameters of the transfer beam 1 refer to the concrete strength level, the type of the reinforcing steel material, the cross-sectional width, the cross-sectional height, the thickness of the protective layer, and the distance between the stirrups in the preset step, and the bending moment design value, the shear force design value, the torque design value, the cross-sectional area design value of the upper longitudinal bar, the cross-sectional area design value of the lower longitudinal bar, the cross-sectional area design value of the stirrups, and the cross-sectional area value of the waist longitudinal bar in the step of determining the reinforcing steel bar design values. In this embodiment, the concrete strength grade, the type of the reinforcing steel bar material, the section width, the section height, the protective layer thickness and the stirrup spacing of the transfer beam are preset according to the total weight, wherein the concrete strength grade, the type of the reinforcing steel bar material, the section width, the section height, the protective layer thickness and the stirrup spacing all refer to the concrete strength grade of the transfer beam, the type of the reinforcing steel bar material of the transfer beam, the section width of the transfer beam, the section height of the transfer beam, the protective layer thickness of the transfer beam and the stirrup spacing of the transfer beam. In addition, the building structure above the first shear wall 2 and the second shear wall 3 may be one or more of a floor slab, a wall body, a column body and the like, as long as the building design standard can be met, and the present application is not particularly limited herein.
It should be noted that, in the above steps of aligning and determining quality, the steps are implemented by modeling operation, which is convenient for the designer to calculate. Specifically, in the step of determining the mass, the total weight of the first shear wall 2, the second shear wall 3, and the building structures above the first shear wall 2 and the second shear wall 3 needs to be determined, and the step may specifically be performed by modeling the first shear wall 2, the second shear wall 3, and the building structures above the first shear wall 2 and the second shear wall 3 to obtain the total weight. In the presetting step, the concrete strength grade, the type of the steel bar material, the section width, the section height, the thickness of the protective layer and the stirrup spacing of the transfer beam 1 are preset according to the total weight, and the parameter values can be obtained through computer program simulation or preset according to the experience of a person skilled in the art, so that the parameter values are quick and reliable.
In addition, in the step of determining the design value of the steel bar, the bending moment design value, the shearing force design value and the torque design value can be obtained by computer modeling and simulating the stress condition according to the concrete strength grade, the type of the steel bar material, the section width, the section height, the thickness of the protective layer and the distance between stirrups determined in the preset step, so that the obtained bending moment design value, shearing force design value and torque design value are combined with each preset value in the preset step for calculation, and the steel bar design value is obtained.
In summary, the load condition of the transfer beam 1 can be calculated when the plurality of shear walls are positioned on the transfer beam 1 and staggered, so as to obtain a more accurate design value of the cross-sectional area of the upper longitudinal rib, the cross-sectional area of the lower longitudinal rib, the cross-sectional area of the stirrup, and the cross-sectional area of the waist longitudinal rib of the transfer beam 1, thereby facilitating design of designers.
In the embodiment of the present application, two ends of the transfer beam 1 are respectively connected to the first transfer column 5 and the second transfer column 6, an upper surface of the transfer beam 1 (a surface above the transfer beam 1 in fig. 4) is flush with an upper end surface of the first transfer column 5 (a surface above the transfer column in fig. 4) and an upper end surface of the second transfer column 6 (a surface above the second transfer column 6 in fig. 4), the first shear wall 2 is disposed on the first transfer column 5 and the transfer beam 1, and the second shear wall 3 is disposed on the second transfer column 6 and the transfer beam 1.
The conversion beam 1 is arranged between the first conversion column 5 and the second conversion column 6, then the first shear wall 2 is arranged on the first conversion column 5 and the conversion beam 1, and the first conversion column 5 and the conversion beam 1 can jointly support the first shear wall 2, so that the load of the conversion beam 1 can be reduced conveniently, and the determined structural parameters of the conversion beam 1 can meet the design requirements better; similarly, the second shear wall 3 is arranged on the second conversion column 6 and the conversion beam 1, the second conversion column 6 and the conversion beam 1 can jointly support the second shear wall 3, and the load of the conversion beam 1 can be reduced, so that the determined structural parameters of the conversion beam 1 can meet the design requirements.
The determination of the design value of the cross-sectional area of the upper longitudinal rib, the design value of the cross-sectional area of the lower longitudinal rib, the design value of the cross-sectional area of the stirrup, and the design value of the cross-sectional area of the waist longitudinal rib will be further explained below.
In the embodiment of the present application, determining the design value of the cross-sectional area of the upper longitudinal rib and the design value of the cross-sectional area of the lower longitudinal rib includes: acquiring a height value of a concrete compression area, a height value of a relative limit compression area and an effective height value of a section of a conversion beam; calculating to obtain a first preset value according to the height value of the compression area of the relative limit and the effective height value of the section of the conversion beam; and comparing the height value of the concrete compression area with a first preset value, determining the section area of the first upper longitudinal rib and the section area of the first lower longitudinal rib when the height value of the concrete compression area is smaller than or equal to the first preset value, and resetting the section width and the section height when the height value of the concrete compression area is larger than the first preset value.
When the height value of the concrete compression zone is larger than the first preset value, the preset values of the section width and the section height in the presetting step are smaller, and when the conversion beam is constructed according to the preset values, the strength of the conversion beam cannot meet the requirement; and when the height value of the concrete compression area is smaller than the first preset value, the preset values of the section width and the section height in the preset step are in accordance with requirements, when the conversion beam is constructed according to the preset values, the strength of the conversion beam meets the load requirement, and the accuracy of the section area design value of the upper longitudinal rib and the accuracy of the section area design value of the lower longitudinal rib are improved.
In particular, the height value of the concrete compression zone can be h according to the formula x0-[h0 2-2·M/(α1·fc·b)]0.5And (4) calculating. Wherein x is the height value of the concrete compression zone; h is0For converting the effective height of the cross-section of the beam, h0Can be represented by the formula h0H is the height of the section of the conversion beam preset in the preset step, and as is the vertical distance from the resultant point of all longitudinal tension steel bars on the right section to the tension edge of the section; m is a bending moment design value; alpha is alpha1As a coefficient, when the concrete strength grade in the preset step does not exceed C50, alpha1The value is 1.0, and when the concrete strength grade in the preset step exceeds C80, alpha is1The value is 0.94, and when the concrete strength grade in the preset step is between C50 and C80, the concrete strength grade is determined according to a linear interpolation method; f. ofcThe design value of the axial compressive strength of the concrete can be determined by looking up a table according to the strength grade of the concrete; b is the section width of the conversion beam in the preset step.
The relative limit compressed zone height value can be based on the formula xib＝β1/[1+fy/(Es·εcu)]And (4) calculating. Wherein ξbThe height value of the compression zone of the relative limit is obtained; beta is a1As a coefficient, β is set when the concrete strength grade in the preset step does not exceed C501The value is 0.8, and when the concrete strength grade in the preset step exceeds C80, the value of beta is1The value is 0.74, and when the concrete strength grade in the preset step is between C50 and C80, the concrete strength grade is determined according to a linear interpolation method; f. ofyThe design value of the tensile strength of the steel bar can be determined by looking up a table according to the type of the steel bar material in the preset step; esThe elastic modulus of the steel bar can be determined by looking up a table according to the type of the steel bar material in the preset step; epsiloncuFor concrete ultimate compressive strain of normal section, use formula epsiloncu＝0.0033-(fcu,k-50)·10-5Is obtained fromcu,kThe standard value of the cubic compressive strength of the concrete can be determined according toAnd (4) determining the concrete strength grade by looking up a table.
The first preset value can be set via xibAnd h0The product is obtained, then the height value of the concrete compression area is compared with the first preset value, namely x and xib×h0For comparison, when x is less than or equal to xib×h0If so, the section height h and the section width b of the transfer beam in the preset step are in accordance with the design requirements, and when the transfer beam is constructed according to the preset value, the strength of the transfer beam meets the load requirements; when x > xib×h0In the meantime, it is indicated that the cross-sectional height h and the cross-sectional width b of the transfer beam in the presetting step are smaller, and at this time, the cross-sectional height h and the cross-sectional width b of the transfer beam need to be preset again.
Further, determining the design value of the cross-sectional area of the upper longitudinal rib and the design value of the cross-sectional area of the lower longitudinal rib further comprises: and determining a second preset value according to the effective height value and the section width of the section of the conversion beam, determining a first reinforcement ratio according to the second preset value and the section area of the first upper longitudinal rib, and determining a second reinforcement ratio according to the second preset value and the section area of the first lower longitudinal rib.
When the sum of the first reinforcement ratio and the second reinforcement ratio is more than 2.5%, the height and the width of the section are preset again; when the sum of the first reinforcement ratio and the second reinforcement ratio is less than or equal to 2.5%, the minimum reinforcement ratio is obtained, the cross-sectional area of the minimum longitudinal rib is determined through the minimum reinforcement ratio, the cross-sectional area of the minimum longitudinal rib is compared with the cross-sectional area of the first upper longitudinal rib, a larger value is used as a design value of the cross-sectional area of the upper longitudinal rib, the cross-sectional area of the minimum longitudinal rib is compared with the cross-sectional area of the first lower longitudinal rib, and a larger value is used as a design value of the cross-sectional area of the lower longitudinal rib.
When the sum of the first reinforcement ratio and the second reinforcement ratio is greater than 2.5%, the anti-seismic performance of the conversion beam is poor, so that when the sum of the first reinforcement ratio and the second reinforcement ratio is greater than 2.5%, the height and the width of the cross section need to be preset again, and the accuracy of the structural parameters of the conversion beam is further improved; when the sum of the first reinforcement ratio and the second reinforcement ratio is less than or equal to 2.5 percent, the seismic performance of the conversion beam is better, the preset section height and the section width meet the design requirements, the minimum reinforcement ratio can be calculated at the moment, the section area of the minimum longitudinal reinforcement is obtained through the calculation of the minimum reinforcement ratio, and comparing the cross-sectional area of the minimum longitudinal rib with the cross-sectional area of the first upper longitudinal rib and the cross-sectional area of the first lower longitudinal rib, taking the larger value as the design value of the cross-sectional area of the upper longitudinal rib, comparing the cross-sectional area of the minimum longitudinal rib with the cross-sectional area of the first lower longitudinal rib, taking the larger value as the design value of the cross-sectional area of the lower longitudinal rib, thereby obtaining the design value of the section area of the upper longitudinal rib and the design value of the section area of the lower longitudinal rib which ensure the structural strength of the transfer beam, further, the design values of the cross-sectional area of the upper longitudinal bar and the cross-sectional area of the lower longitudinal bar may be set as design values of the structural parameters of the transfer beam.
Specifically, the cross-sectional area of the first upper longitudinal rib or the cross-sectional area of the first lower longitudinal rib may be represented by formula as＝α1·fc·b·x/fyThe first reinforcement ratio or the second reinforcement ratio can be obtained by calculation according to the formula rho ═ As/(b·h0) The minimum reinforcement ratio can be obtained by calculation through a formula rhomin＝Max{0.15％,0.45ft/fyObtained by calculation, ftDesigned value for tensile strength of concrete, ftThe concrete strength grade can be determined by looking up a table, and the minimum section area of the longitudinal bar can be determined by a formula As,min＝b·h·ρminCalculated and finally compared AsAnd As,minThe larger value of (a) is taken as a design value of the cross-sectional area of the upper longitudinal rib or a design value of the cross-sectional area of the lower longitudinal rib.
In the embodiment of the present application, determining the design value of the stirrup cross-sectional area includes: acquiring a design value of the tensile strength of the concrete and an effective height value of the section of the conversion beam, and determining a third preset value according to the design value of the tensile strength of the concrete, the effective height value of the section of the conversion beam and the section width; when the third preset value is smaller than the design value of the shearing force, the width and the height of the section are preset again; and when the third preset value is greater than or equal to the shear force design value, determining the minimum stirrup cross-sectional area.
The third preset value is compared with the shear force design value, and if the third preset value is smaller than the shear force design value, the current preset section width and section height are smaller and cannot meet the stress requirement, and the section width and section height need to be preset again; if the third preset value is greater than or equal to the shear design value, the current preset section width and section height meet the stress requirement, and the minimum stirrup section area determined according to the current preset section width and section height can ensure that the transfer beam has enough structural strength.
Specifically, the third preset value is V1Can be represented by formula V1＝0.7βh·ft·b·h0And (4) calculating. Wherein, betahIs the cross-sectional height coefficient of influence when h0Beta < 800mmhTaking the diameter of 800mm when h is0Beta > 2000mmhTaking 2000mm, when 800mm is less than h0When the diameter is less than 2000mm, determining according to a linear interpolation method; f. oftThe design value of the tensile strength of the concrete can be determined by looking up a table according to the strength grade of the concrete; h is0Is an effective height value of the cross section of the transfer beam; and b is the cross-sectional width of the transfer beam.
Further, determining the design value of the cross-sectional area of the stirrup further comprises: determining a fourth preset value according to the design value of the tensile strength of the concrete, the section width and the section effective height of the conversion beam; when the fourth preset value is smaller than the shear force design value, obtaining a tensile strength design value of the transverse steel bar, determining the section area of the first stirrup according to the shear force preset value, the fourth preset value, the tensile strength design value of the transverse steel bar, the section effective height of the conversion beam and the stirrup spacing, comparing the section area of the first stirrup with the section area of the minimum stirrup, and taking the larger value as the section area of the stirrup; and when the fourth preset value is greater than or equal to the shear force design value, taking the minimum stirrup cross-sectional area as the stirrup cross-sectional area design value.
Wherein, a fourth preset value can be calculated according to the design value of the tensile strength of the concrete, the section width and the effective height of the section of the conversion beam, by comparing the fourth preset value with the shear design value, if the fourth preset value is smaller than the shear design value, if the first stirrup cross-sectional area is larger than the minimum stirrup cross-sectional area, when the first stirrup cross-sectional area is determined and is compared with the minimum stirrup cross-sectional area, if the first stirrup cross-sectional area is larger than the minimum stirrup cross-sectional area, the first stirrup cross-sectional area is taken as the design value of the stirrup cross-sectional area of the conversion beam, the reliability of the structural strength of the conversion beam is good, and if the minimum stirrup cross-sectional area is larger than the first stirrup cross-sectional area, the reliability of the structural strength of the conversion beam is good when the minimum stirrup cross-sectional area is used as a design value of the stirrup cross-sectional area of the conversion beam; in addition, when the fourth preset value is greater than or equal to the shear preset value, it is indicated that the cross-sectional area of the first stirrup is smaller than zero, and at this time, the cross-sectional area of the minimum stirrup can be directly used as the design value of the cross-sectional area of the stirrup of the transfer beam.
Specifically, the fourth preset value is RvCan be represented by the formula Rv＝0.7·ft·b·h0Is calculated to obtain, wherein ftThe design value of the tensile strength of the concrete can be determined by looking up a table according to the strength grade of the concrete; b is the section width of the transfer beam; h is0To convert the effective height value of the cross section of the beam. The cross-sectional area of the first stirrup is AsvCan be represented by the formula V ═ Rv+fyv·Asv/s·h0Calculating to obtain V, wherein V is a shear design value; f. ofyvThe design value of the tensile strength of the transverse steel bar can be determined by looking up a table according to the type of the steel bar; s is the stirrup spacing and is preset in the step; h is0To convert the effective height value of the cross section of the beam. The minimum stirrup cross-sectional area is Asv,minCan be represented by formula Asv,min＝Dmin 2·0.25π·s/smaxIs calculated to obtain, wherein DminThe minimum diameter of the stirrup is the standard value required by the building construction; smaxThe maximum distance between the stirrups is the value which is also the standard value required by the building construction; and s is the stirrup spacing and is a preset value in the step.
In the embodiment of the present application, determining the design value of the cross-sectional area of the longitudinal waist rib includes: acquiring the torsional plastic resisting moment of the cross section of the conversion beam and the designed value of the axial center compressive strength of the concrete, determining a fifth preset value through the torsional plastic resisting moment of the cross section of the conversion beam, the width of the cross section, the effective height of the cross section of the conversion beam and the designed value of the torque, and determining a sixth preset value through the designed value of the axial center compressive strength of the concrete; when the fifth preset value is larger than the sixth preset value, the section width and the section height are preset again; when the fifth preset value is smaller than or equal to the sixth preset value, determining a seventh preset value through a shear force design value, a section width, an effective height of the section of the conversion beam and a torque design value, and acquiring a tensile strength design value of concrete to determine an eighth preset value; and when the seventh preset value is smaller than or equal to the eighth preset value, the sectional area of the waist longitudinal rib is larger than or equal to A, and A is 0.1 time of the product of the section width and the effective height of the section of the conversion beam.
When the fifth preset value is larger than the sixth preset value, the preset section width and the preset section height are smaller, the structural strength requirement of the conversion beam cannot be met, and the section width and the section height need to be preset again; when the fifth preset value is less than or equal to the sixth preset value, the preset section width and section height meet the structural strength requirement of the transfer beam, at this time, in order to further ensure the accuracy of obtaining the section area of the waist longitudinal rib, the seventh preset value needs to be determined according to the shear design value, the section width, the effective height of the section of the transfer beam and the torque design value, and determining an eighth preset value according to the design value of the tensile strength of the concrete, comparing the seventh preset value with the eighth preset value, when the seventh preset value is larger than the eighth preset value, whether the longitudinal waist rib is influenced by shearing force and torque needs to be verified, and when the seventh preset value is less than or equal to the eighth preset value, the sectional area of the waist longitudinal rib can be directly determined, specifically, the sectional area of the waist longitudinal rib is greater than or equal to a, and a is 0.1 times of the product of the sectional width and the effective height of the section of the conversion beam.
In particular, WtFor converting the torsional-plastic resisting moment of the cross section of the beam, the formula W is usedt＝b23h-b)/6, where b is the cross-sectional width and h is the cross-sectional height. The fifth preset value is StjCan be represented by formula Stj＝V/(b·h0)+T/0.8WtCalculated, wherein V is a shear design value, b is a section width, and h0For effective height values of the cross-section of the transfer beam, T is the design value of torque, WtThe cross section of the conversion beam is subjected to torsional plastic resisting moment. The sixth preset value is Stj 1Can be represented by formula Stj 1＝0.25·βc·fcIs calculated to obtain, wherein, betacTaking beta when the concrete strength grade does not exceed C50 as a concrete strength influence coefficientcIs 1.0, when the concrete strength grade is C80, beta is takenc0.8, determined by linear interpolation when the concrete strength rating is between C50 and C80, fcThe designed value of the axial compressive strength of the concrete can be determined by looking up a table according to the strength grade of the concrete. The seventh preset value is StgCan be represented by formula Stg＝V/(b·h0) + T is calculated, wherein V is a shear design value, b is a section width, and h0T is a torque design value for an effective height value of a cross section of the transfer beam. The eighth preset value is Stg 1Can be according to the formula Stg 1＝0.7ftIs calculated to obtain ftThe design value of the tensile strength of the concrete can be determined by looking up a table according to the strength grade of the concrete.
Furthermore, in order to ensure that the section area of the longitudinal waist rib can meet the structural strength requirement of the transfer beam, the shear force and torque stress conditions of the longitudinal waist rib can be further analyzed. Specifically, when the fifth preset value is less than or equal to the sixth preset value, the method further includes: determining a ninth preset value according to the design value of the tensile strength of the concrete and the torsional plastic resisting moment of the section of the conversion beam; when the ninth preset value is larger than or equal to the design torque value, the section area of the waist longitudinal rib is larger than or equal to A, and A is 0.1 time of the product of the section width and the effective height of the section of the conversion beam; and when the ninth preset value is smaller than the designed torque value, determining the section area of the longitudinal rib of the waist.
The ninth preset value can be determined according to the design value of the tensile strength of the concrete and the torsional plastic resisting moment of the cross section of the conversion beam, and when the ninth preset value is larger than or equal to the design value of the torque, the shearing force and the torque borne by the longitudinal waist rib can meet the structural strength requirement of the conversion beam, so that the accuracy of the cross section area of the longitudinal waist rib is further ensured, and when the ninth preset value is smaller than the design value of the torque, the cross section width and the cross section height need to be preset again for calculation.
Specifically, the ninth preset value is T1Can be represented by the formula T1＝0.175·ft·WtIs calculated to obtain, wherein ftDesigned value for tensile strength of concrete, WtThe cross section of the conversion beam is subjected to torsional plastic resisting moment.
Further, determining the cross-sectional area of the waist longitudinal rib includes: the method comprises the steps of obtaining a concrete torsion bearing capacity reduction coefficient of the conversion beam, a reinforcement strength ratio of a torsion longitudinal reinforcement and a stirrup of the conversion beam, a tensile strength design value of a transverse reinforcement and the area of a section core part of the conversion beam, and determining the section area of a waist longitudinal reinforcement by combining the tensile strength design value of the concrete, the section torsion plastic resisting moment of the conversion beam, the torque design value and the stirrup spacing.
Specifically, AstlThe design value of the cross-sectional area of the longitudinal waist rib can be determined by the formula T being 0.35 alphah·βt·ft·Wt·+1.2·ξ0.5·fyv·Astl·AcorCalculated as/s. Wherein T is a torque design value; alpha is alphahIs a coefficient; beta t is the concrete torsion bearing capacity reduction coefficient of the conversion beam, and the formula beta is usedt＝1.5/[1+0.5·V·Wt/(T·b·h0)]Calculated to obtain when betatWhen less than 0.5, the value is 0.5, when beta istWhen the shear stress is more than 1.0, the value is 1.0, V is the shear design value, and W istTo turn toThe cross section of the beam is subjected to torsional plastic resisting moment, b is the cross section width, h0Is the effective height of the section; f. oftThe design value of the tensile strength of the concrete can be obtained by looking up a table according to the strength grade of the concrete; xi is the reinforcement strength ratio of twisted longitudinal reinforcements to stirrups, and can be obtained by inquiring the concrete structure design Specification (GB 50010-2010); f. ofyvThe design value of the tensile strength of the transverse steel bar can be obtained by looking up a table according to the type of the steel bar; a. thecorIs the area of the cross-sectional core portion of the transfer beam; and s is the stirrup spacing.
The method for determining the structural parameters of the transfer beam disclosed by the embodiment of the invention is described in detail, a specific example is applied in the method for explaining the principle and the implementation mode of the invention, and the description of the embodiment is only used for helping to understand the invention and the core idea thereof; meanwhile, for a person skilled in the art, according to the idea of the present invention, there may be variations in the specific embodiments and the application scope, and in summary, the content of the present specification should not be construed as a limitation to the present invention.
Claims (10)
1. A method for determining structural parameters of a transfer beam is characterized in that at least a first shear wall and a second shear wall which are arranged in a staggered mode are arranged on the transfer beam, a building structure is further arranged above the first shear wall and the second shear wall, and the method comprises the following steps:
alignment: adjusting the positions of the first shear wall and/or the second shear wall which are arranged in a staggered mode through modeling operation in the width direction of the transfer beam, so that the first shear wall and the second shear wall are aligned in the middle in the width direction of the transfer beam;
determining the quality: determining a total weight of the first shear wall, the second shear wall, and the building structure above the first shear wall and the second shear wall;
presetting: presetting the concrete strength grade, the type of the steel bar material, the section width, the section height, the thickness of the protective layer and the distance between stirrups of the conversion beam according to the total weight;
determining a design value of the steel bar: and determining a bending moment design value, a shearing force design value and a torque design value according to the concrete strength grade, the type of the reinforcing steel bar material, the section width, the section height, the thickness of the protective layer and the distance between the stirrups, which are determined in the step of presetting, and further determining a section area design value of an upper longitudinal bar, a section area design value of a lower longitudinal bar, a section area design value of a stirrup and a section area design value of a waist longitudinal bar of the conversion beam.
2. The method for determining structural parameters of a transfer beam according to claim 1, wherein two ends of the transfer beam are respectively connected to a first transfer column and a second transfer column, an upper surface of the transfer beam is flush with an upper end surface of the first transfer column and an upper end surface of the second transfer column, the first shear wall is disposed on the first transfer column and the transfer beam, and the second shear wall is disposed on the second transfer column and the transfer beam.
3. The method for determining structural parameters of a transfer beam according to claim 1, wherein determining design values for the cross-sectional areas of the upper longitudinal ribs and the lower longitudinal ribs comprises:
acquiring a height value of a concrete compression zone, a height value of a relative limit compression zone and an effective height value of a section of the conversion beam;
calculating to obtain a first preset value according to the height value of the relative limit compression zone and the effective height value of the section of the conversion beam;
and comparing the height value of the concrete compression area with the first preset value, determining the section area of the first upper longitudinal rib and the section area of the first lower longitudinal rib when the height value of the concrete compression area is smaller than or equal to the first preset value, and resetting the section width and the section height when the height value of the concrete compression area is larger than the first preset value.
4. The method for determining structural parameters of a transfer beam according to claim 3, wherein determining the design values of the cross-sectional areas of the upper longitudinal ribs and the lower longitudinal ribs further comprises:
determining a second preset value according to the effective height value of the section of the conversion beam and the section width, determining a first reinforcement ratio according to the second preset value and the section area of the first upper longitudinal rib, and determining a second reinforcement ratio according to the second preset value and the section area of the first lower longitudinal rib;
when the sum of the first reinforcement ratio and the second reinforcement ratio is larger than 2.5%, the section height and the section width are preset again;
when the sum of the first reinforcement ratio and the second reinforcement ratio is less than or equal to 2.5%, obtaining a minimum reinforcement ratio, determining the cross-sectional area of a minimum longitudinal rib according to the minimum reinforcement ratio, comparing the cross-sectional area of the minimum longitudinal rib with the cross-sectional area of the first upper longitudinal rib, taking a larger value as a design value of the cross-sectional area of the upper longitudinal rib, comparing the cross-sectional area of the minimum longitudinal rib with the cross-sectional area of the first lower longitudinal rib, and taking a larger value as a design value of the cross-sectional area of the lower longitudinal rib.
5. Method for determining structural parameters of a transfer beam according to claim 3,
the height value of the concrete compression zone is obtained by the following steps: obtaining an axle center compressive strength design value of concrete, and determining a height value of a concrete compression area according to an effective height value of a cross section of the conversion beam, the axle center compressive strength design value of the concrete and the bending moment design value;
obtaining the relative bounding compressed zone heights includes: and acquiring the concrete ultimate compressive strain of the right section, the design value of the tensile strength of the reinforcing steel bar and the elastic modulus of the reinforcing steel bar, and determining the height of the compression zone of the relative limit.
6. The method of determining structural parameters of a transfer beam of claim 1, wherein determining the design values for the stirrup cross-sectional area comprises: obtaining a design value of tensile strength of concrete and an effective height value of the section of the conversion beam, and determining a third preset value according to the design value of tensile strength of concrete, the effective height value of the section of the conversion beam and the width of the section;
when the third preset value is smaller than the shear design value, the section width and the section height are preset again; and when the third preset value is greater than or equal to the shear design value, determining the minimum stirrup cross-sectional area.
7. The method of determining structural parameters of a transfer beam of claim 6, wherein determining design values for cross-sectional areas of the stirrups further comprises: determining a fourth preset value according to the design value of the tensile strength of the concrete, the section width and the section effective height of the conversion beam;
when the fourth preset value is smaller than the shear design value, obtaining a tensile strength design value of a transverse steel bar, determining a first stirrup cross-sectional area according to the shear design value, the fourth preset value, the tensile strength design value of the transverse steel bar, the cross-sectional effective height of the conversion beam and the stirrup spacing, comparing the first stirrup cross-sectional area with the minimum stirrup cross-sectional area, and taking a larger value as the stirrup cross-sectional area design value; and when the fourth preset value is greater than or equal to the shear design value, taking the minimum stirrup cross-sectional area as the stirrup cross-sectional area design value.
8. The method for determining structural parameters of a transfer beam according to claim 1, wherein determining design values for the cross-sectional areas of the longitudinal waist ribs comprises: acquiring a torsional plastic resisting moment of a cross section of a conversion beam and a designed value of axial center compressive strength of concrete, determining a fifth preset value according to the torsional plastic resisting moment of the cross section of the conversion beam, the width of the cross section, the effective height of the cross section of the conversion beam and the designed value of torque, and determining a sixth preset value according to the designed value of axial center compressive strength of the concrete;
when the fifth preset value is larger than the sixth preset value, the section width and the section height are preset again;
when the fifth preset value is smaller than or equal to the sixth preset value, determining a seventh preset value through the shear design value, the section width, the effective height of the section of the conversion beam and the torque design value, and acquiring a tensile strength design value of concrete to determine an eighth preset value; when the seventh preset value is larger than the eighth preset value, the sectional area of the waist longitudinal rib is determined, when the seventh preset value is smaller than or equal to the eighth preset value, the sectional area of the waist longitudinal rib is larger than or equal to A, and A is 0.1 time of the product of the sectional width and the effective height of the section of the conversion beam.
9. The method for determining structural parameters of a transfer beam according to claim 8, wherein when the fifth preset value is less than or equal to the sixth preset value, the method further comprises: determining a ninth preset value according to the design value of the tensile strength of the concrete and the torsional plastic resisting moment of the section of the conversion beam;
when the ninth preset value is larger than or equal to the designed torque value, the section area of the waist longitudinal rib is larger than or equal to A, and A is 0.1 time of the product of the section width and the effective height of the section of the conversion beam; and when the ninth preset value is smaller than the designed torque value, determining the section area of the longitudinal waist rib.
10. The method for determining structural parameters of a transfer beam according to claim 8 or 9, wherein determining the cross-sectional area of the waist longitudinal rib comprises: and obtaining the reduction coefficient of the torsional bearing capacity of the concrete of the transfer beam, the reinforcement strength ratio of the torsional longitudinal reinforcement and the stirrup of the transfer beam, the design value of the tensile strength of the transverse reinforcement and the area of the core part of the section of the transfer beam, and determining the section area of the longitudinal reinforcement of the waist by combining the design value of the tensile strength of the concrete, the torsional plastic resisting moment of the section of the transfer beam, the design value of the torque and the distance between the stirrups.
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| CN117853076A (en) * | 2024-03-07 | 2024-04-09 | 广州珠江装修工程有限公司 | BIM-based wall construction management method and system |
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