CN107480407B - Equivalent rectangular cross section calculation method and device for steel pipe concrete special-shaped column and terminal - Google Patents
Equivalent rectangular cross section calculation method and device for steel pipe concrete special-shaped column and terminal Download PDFInfo
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Abstract
The invention provides a method for calculating an equivalent rectangular section of a concrete filled steel tube special-shaped column, which comprises the following steps of: acquiring information of the special-shaped section of the steel pipe concrete special-shaped column; determining an appointed parameter set of the special-shaped section according to the information of the special-shaped section; determining an equivalent parameter set which has a corresponding relation with the specified parameter set according to the specified parameter set and by combining a preset conversion formula; and determining the rectangular section of the concrete filled steel tube rectangular column matched with the equivalent parameter set as an equivalent rectangular section. The method fills the technical blank that the special-shaped section data of the rectangular concrete-filled steel tube special-shaped column cannot be utilized and optimized by the traditional tool software for calculating the rectangular concrete-filled steel tube column.
Description
[ technical field ] A method for producing a semiconductor device
The invention relates to the technical field of constructional engineering, in particular to a method, a device and a terminal for calculating an equivalent rectangular section of a concrete filled steel tube special-shaped column.
[ background of the invention ]
Along with the continuous improvement of the urbanization level, the population density of cities represented by Jingjin Ji, Long triangular and Zhu triangular city groups and cities with more than 300 ten thousand of standing population is gradually increased, so that a large number of high-rise buildings are continuously emerged. Therefore, the homework has already made an opinion on promoting sustainable health development of the building industry, and has determined the aim of enabling the assembled building to account for 30% of the newly built building in about 10 years.
At present, the building industry is gradually and vigorously developing and popularizing fabricated steel structure buildings, so that the buildings have the effects of developing new energy-saving and environment-friendly industries, improving the safety level of the buildings, promoting the excess capacity of chemical decomposition and the like. The proportion of the assembly type building occupying the newly-built building area is increased. However, with the development of society and the improvement of living standard, the requirements of aesthetic property and living comfort of steel structure buildings are higher and higher. As a vertical bearing component in the existing building structure, namely a column, the traditional form is a rectangular section, and the column corner protrudes out of the wall surface, so that the exertion of the building function and the discomfort of visual sense are influenced.
At the moment, professional designers in the building industry hope to obtain a software calculation tool or method, and the software calculation tool or method is used for further optimizing and processing the data of the traditional rectangular concrete-filled steel tube column and the operation formula which is subjected to standard curing in the building industry into a tool or method capable of calculating the special-shaped concrete-filled steel tube column. So as to fill the blank that no calculation principle or calculation model or calculation method of the concrete-filled steel tubular column exists in the current engineering design practice.
[ summary of the invention ]
The invention provides a method, a device and a terminal for calculating an equivalent rectangular section of a concrete-filled steel tube special-shaped column, aiming at the problems and defects in the prior art, and the rigidity and the steel consumption of the equivalent rectangular section are approximately the same as those of the original section within an acceptable error range by mainly inputting the side length sizes (such as a, b and c) and the steel plate thickness (such as t) of the rectangular concrete-filled steel tube special-shaped column and determining the equivalent rectangular section after adjusting and converting through a series of operation formulas. The method fills the technical blank that the special-shaped section data of the rectangular concrete-filled steel tube special-shaped column cannot be utilized and optimized by the traditional tool software for calculating the rectangular concrete-filled steel tube column.
The technical scheme of the invention is as follows:
according to a first aspect, an embodiment of the present invention provides a method for calculating an equivalent rectangular cross section of a concrete filled steel tube special-shaped column, including:
acquiring information of the special-shaped section of the steel pipe concrete special-shaped column;
determining an appointed parameter set of the special-shaped section according to the information of the special-shaped section;
determining an equivalent parameter set which has a corresponding relation with the specified parameter set according to the specified parameter set and by combining a preset conversion formula;
and determining the rectangular section of the concrete filled steel tube rectangular column matched with the equivalent parameter set as an equivalent rectangular section.
Further, comprising:
the method comprises the steps of obtaining the length of each side of the special-shaped section of the steel pipe concrete special-shaped column, the thickness of a steel plate related to each side and the position relation information between sub sections in the special-shaped section.
Further, the determining a specified parameter set of the special-shaped cross section according to the information of the special-shaped cross section includes:
determining the position of the centroid of the special-shaped cross section and the local cross section characteristics of the special-shaped cross section according to the length of each side of the special-shaped cross section, the thickness of the steel plate related to each side and the position relation information between the sub cross sections in the special-shaped cross section;
and determining the section characteristic of the transition section corresponding to the section characteristic of the special-shaped section as the opposite-centroid section characteristic according to the position of the centroid of the special-shaped section and the local section characteristic of the special-shaped section.
Preferably, the determining the position of the centroid of the special-shaped cross section comprises:
cutting the special-shaped cross section to enable the cut sub-cross section to be in a regular geometric shape;
determining the section area of each sub-section forming the special-shaped section;
determining the concrete cross section area and the steel material cross section area in the special-shaped cross section of the steel pipe concrete special-shaped column, and
and determining the position of the centroid of the special-shaped section.
Further, the determining the local section characteristics of the profiled section includes:
determining the concrete moment of inertia and the steel moment of inertia of each sub-section of the special-shaped section of the steel pipe concrete special-shaped column; the method specifically comprises the following steps:
respectively determining the concrete inertia moment and the steel inertia moment of each sub-section in the X direction; and
and respectively determining the concrete inertia moment and the steel inertia moment of each sub-section in the Y direction.
Further, the determining the characteristic of the centroid section of the irregular section comprises:
determining the concrete moment of inertia and the steel moment of inertia of the centroid section in the X direction according to the input condition data; and
determining the concrete moment of inertia and the steel moment of inertia of the centroid section in the Y direction according to the input condition data; and
and according to the determined concrete moment of inertia and steel moment of inertia of the opposite centroid cross section in the X direction and the determined concrete moment of inertia and steel moment of inertia of the opposite centroid cross section in the Y direction, determining the bending rigidity of the opposite centroid cross section of the special-shaped cross section in the X direction and determining the bending rigidity of the opposite centroid cross section of the special-shaped cross section in the Y direction.
Preferably, the inputting of condition data includes:
determining the concrete inertia moment and the steel inertia moment of each sub-section in the X direction; and
determining the concrete inertia moment and the steel inertia moment of each sub-section in the Y direction; and
the length of each edge of the obtained special-shaped section forming the steel pipe concrete special-shaped column and the thickness of a steel plate related to each edge; and
the position coordinates of the centroid of the irregular cross section are determined.
Preferably, determine with the rectangular cross section of equivalent parameter set assorted concrete filled steel tube rectangular column, as equivalent rectangular cross section, include:
acquiring an initial parameter set of a rectangular section;
determining the section characteristics of the rectangular section according to the initial parameter set of the rectangular section;
judging whether the difference between the section characteristics of the rectangular section and the section characteristics of the opposite centroids meets a preset error range or not;
and when the judgment result is yes, determining that the rectangular section related to the judgment result is the equivalent rectangular section of the special-shaped section.
Preferably, the determining the section characteristics of the rectangular section according to the initial parameter set of the rectangular section includes:
determining the sectional area of steel of the rectangular section, the bending rigidity in the X direction and the bending rigidity in the Y direction according to the initial parameter set of the rectangular section; and
the judging whether the difference between the section characteristic of the rectangular section and the section characteristic of the opposite centroid meets a preset error range includes:
and judging whether the differences between the sectional area of the steel material with the rectangular section, the bending stiffness in the X direction and the bending stiffness in the Y direction and the sectional area of the steel material with the opposite centroid section, the bending stiffness in the X direction and the bending stiffness in the Y direction respectively accord with preset respective error ranges.
According to a second aspect, an embodiment of the present invention provides an equivalent rectangular cross-section calculation apparatus for a concrete filled steel tube irregular shaped column, including:
the information acquisition module is used for acquiring the information of the special-shaped section of the concrete filled steel tube special-shaped column;
the storage and operation processing module is used for determining an appointed parameter set of the special-shaped section according to the information of the special-shaped section; the equivalent parameter set which is in corresponding relation with the specified parameter set is determined by combining a preset conversion formula stored in the storage and operation processing module according to the specified parameter set; and determining the rectangular section of the concrete filled steel tube rectangular column matched with the equivalent parameter set as an equivalent rectangular section.
According to a third aspect, an embodiment of the present invention provides a terminal for calculating an equivalent rectangular cross section of a concrete filled steel tube irregular shaped column, including:
a processor;
a memory;
at least one program, stored in the memory, configured to implement the following steps when executed by the processor:
acquiring information of the special-shaped section of the steel pipe concrete special-shaped column;
determining an appointed parameter set of the special-shaped section according to the information of the special-shaped section;
determining an equivalent parameter set which has a corresponding relation with the specified parameter set according to the specified parameter set and by combining a preset conversion formula;
and determining the rectangular section of the concrete filled steel tube rectangular column matched with the equivalent parameter set as an equivalent rectangular section.
The invention has the technical effects that:
1. the invention provides a method for calculating an equivalent rectangular section of a concrete filled steel tube special-shaped column, which creatively associates the information of the special-shaped section of the concrete filled steel tube special-shaped column with the information of the rectangular section of the concrete filled steel tube rectangular column correspondingly, and successfully determines the equivalent rectangular section by combining the data information contained in an appointed parameter set of the special-shaped section and a preset conversion formula; so that the rigidity and the steel consumption of the equivalent rectangular section are approximately the same as those of the original section within an acceptable error range. The method fills the technical blank that the special-shaped section data of the rectangular concrete-filled steel tube special-shaped column cannot be utilized and optimized by the traditional tool software for calculating the rectangular concrete-filled steel tube column.
2. The method for calculating the equivalent rectangular section of the concrete filled steel tube special-shaped column provided by the invention creates a new mode and a new height for calculating and using the original data of the rectangular concrete filled steel tube special-shaped column in the building industry, and because the original data can be directly input into the mature structure calculation software in the building industry, the calculation precision of the equivalent rectangular section of the concrete filled steel tube special-shaped column is ensured and improved to a certain extent, the accurate budget is facilitated, the steel is saved, and the construction cost is reduced.
3. According to the method for calculating the equivalent rectangular section of the steel pipe concrete special-shaped column, the special-shaped section is firstly divided in the process of determining the position of the centroid of the special-shaped section, so that the divided sub-sections are in regular geometric shapes, and then the section area of each sub-section forming the special-shaped section is determined. The design steps are beneficial to calculating and solving the equivalent rectangular cross sections of the steel pipe concrete special-shaped columns with various shapes, and the method is suitable for not only T-shaped columns, but also L-shaped columns, cross-shaped columns and the like. The method has wide application range and high utilization value, and further improves the good influence and beneficial effect on the building industry.
4. The method for calculating the equivalent rectangular section of the concrete filled steel tube special-shaped column successfully realizes the equivalent conversion of the rectangular concrete filled steel tube special-shaped column into the common rectangular concrete filled steel tube column for structural mechanical analysis and design calculation, expands and supplements the functions of structural calculation software in the existing building industry, realizes the calculation and weighing of the rectangular concrete filled steel tube special-shaped column which cannot be calculated originally, is beneficial to more reasonable steel-column structural arrangement in the industry, and is simpler and more convenient to calculate and check.
[ description of the drawings ]
Fig. 1 is a schematic flow chart of a method for calculating an equivalent rectangular section of a concrete filled steel tube special-shaped column according to an embodiment of the invention.
Fig. 2 is a schematic sectional view of a deformed section of a steel pipe concrete deformed column before transformation according to an embodiment of the present invention.
Fig. 3 is a schematic diagram of an equivalent cross section of the transformed steel pipe concrete special-shaped column based on fig. 2.
Fig. 4 is a functional module schematic diagram of an equivalent rectangular cross section calculation device of the concrete filled steel tube special-shaped column according to the embodiment of the invention.
Fig. 5 is a schematic structural diagram of a terminal for calculating an equivalent rectangular cross section of a concrete filled steel tube profiled column according to an embodiment of the present invention.
[ detailed description ] embodiments
Embodiments of the invention will be described in detail below with reference to the drawings and exemplary embodiments, examples of which are illustrated in the drawings, wherein like or similar reference numerals refer to the same or similar elements or elements having the same or similar functions throughout. The embodiments described below with reference to the drawings are illustrative only and should not be construed as limiting the invention.
Fig. 1 is a schematic flow chart of a method for calculating an equivalent rectangular section of a concrete filled steel tube special-shaped column according to an embodiment of the invention. The main calculation steps and processes of the equivalent rectangular section of the concrete filled steel tube special-shaped column are described with reference to fig. 1.
According to a first aspect, the embodiment of the invention provides a method for calculating an equivalent rectangular section of a concrete filled steel tube special-shaped column, which comprises the following steps: and S101, acquiring the information of the special-shaped section of the steel pipe concrete special-shaped column.
And acquiring the length of each edge of the special-shaped section forming the steel pipe concrete special-shaped column, the thickness of a steel plate related to each edge and the position relation information between the sub-sections in the special-shaped section.
Preferably, the steel pipe concrete special-shaped column in the embodiment of the present invention may be composed of more than two rectangular steel pipes and concrete filled in each rectangular steel pipe, and the special-shaped cross section of the steel pipe concrete special-shaped column is a non-rectangular cross section, for example, the special-shaped cross section may be an L-shaped cross section, a T-shaped cross section, a cross-shaped cross section, a Z-shaped cross section, or the like.
Fig. 2 is a schematic sectional view of a deformed section of a steel pipe concrete deformed column before transformation according to an embodiment of the present invention. For convenience of understanding, the technical solution of the embodiment of the present invention is specifically described below by taking a steel pipe concrete special-shaped column with an L-shaped cross section as an example with reference to fig. 2.
As shown in fig. 2, the modified cross section of the steel pipe concrete modified column having the L-shaped cross section is formed by combining two rectangular cross sections, a1 denotes a first rectangular cross section, and a2 denotes a second rectangular cross section. The raw data information of a1 and a2 can be obtained, where in fig. 2, a represents the length of the short side of the first rectangular section a1, b represents the length of the long side of the first rectangular section a1, c represents the length of the long side of the second rectangular section a2, d is a + b, and the length of the short side of the second rectangular section a2 is also a. In addition, t represents the steel plate thickness of the concrete filled steel tubular shaped column having an L-shaped cross section.
Specific numerical values are further exemplified below.
For example, information of a profiled section of a steel pipe concrete profiled column is acquired: first, original data
a(mm)＝180 b(mm)＝220 c(mm)＝600
d(mm)＝400 t(mm)＝8
And S102, determining a specified parameter set of the special-shaped section according to the information of the special-shaped section.
Specifically, before determining the designated parameter set of the irregular cross section, it is necessary to determine in advance the relevant data of each required parameter included in the designated parameter set, and then further obtain the designated parameter set through formula operation.
Further, according to the information of the irregular cross section, determining a specified parameter set of the irregular cross section, including:
determining the position of the centroid of the special-shaped section and the local section characteristics (such as section area) of the special-shaped section according to the length of each side of the special-shaped section, the thickness of the steel plate related to each side and the position relation information between the sub-sections in the special-shaped section;
and determining the section characteristic of the transition section corresponding to the section characteristic of the special-shaped section according to the position of the centroid of the special-shaped section and the local section characteristic of the special-shaped section, and taking the section characteristic as the opposite centroid section characteristic.
Preferably, the determining the position of the centroid of the special-shaped cross section comprises:
and (4) cutting the special-shaped cross section to enable the cut sub-cross section to be in a regular geometric shape.
The cross-sectional area of each of the sub-sections constituting the profiled section is determined.
And determining the concrete section area and the steel section area in the special-shaped section of the steel pipe concrete special-shaped column, and determining the position of the centroid of the special-shaped section.
The sub-sections referred to herein are parts constituting the overall irregular section, and for example, a steel pipe concrete irregular column with an L-shaped section includes two partial sections, i.e., sub-sections, which are respectively referred to as a sub-section one and a sub-section two. The cross-sectional area of the first sub-section is set as A1. The cross-sectional area of the second sub-section is A2。
For example, taking the centroid calculation as an example:
second, centroid calculation (neglecting steel thickness) (description: A)1H、A2HIs the area of concrete, A1G、A2GIs composed of
Area of steel material. ) x is the number of0And y0Respectively represents the centroid coordinates of the steel pipe concrete special-shaped column with the L-shaped section.
A1(mm2)＝ab＝39600
A2(mm2)＝ac＝108000
A1H(mm2)＝(a-2t)(b-2t)+at＝34896
A2H(mm2)＝(a-2t)(c-2t)＝95776
A1G(mm2)＝ab-A1H＝4704
A2G(mm2)＝ac-A2H＝12224
Further, determining local section characteristics of the profiled section comprises:
determining the concrete inertia moment and the steel inertia moment of each sub-section of the special-shaped section of the steel tube concrete special-shaped column; the method specifically comprises the following steps:
respectively determining the concrete inertia moment and the steel inertia moment of each sub-section in the X direction; and
and respectively determining the concrete inertia moment and the steel inertia moment of each sub-section in the Y direction.
For example, taking the local cross-sectional property as an example, the local cross-sectional property includes parameters such as a cross-sectional area, a centroid, and a cross-sectional moment of inertia.
Third, local section characteristics (description: I)HIs the moment of inertia of concrete, IGMoment of inertia for steel material)
I1XHThe moment of inertia of the concrete in the X direction of the first sub-section is indicated.
I2XHThe moment of inertia of the concrete in the X direction of the second sub-section is indicated.
I1YHThe moment of inertia of the concrete in the Y direction of the first sub-section is indicated.
I2YHThe moment of inertia of the concrete in the Y direction is shown for the second sub-section.
I1XH(mm4)＝(a-2t)(b-2t)3/12＝121019328
I2XH(mm4)＝(c-2t)(a-2t)3/12＝214665941
I1YH(mm4)＝(a-2t)3(b-2t)/12＝78213568
I2YH(mm4)＝(a-2t)(c-2t)3/12＝2722081621
I1XGThe steel moment of inertia in the X direction of the first sub-section is shown.
I2XGThe second sub-section is represented by the steel moment of inertia in the X-direction.
I1YGThe moment of inertia of the steel material in the Y direction of the first sub-section is indicated.
I2YGThe second sub-section is represented by the moment of inertia of the steel in the Y-direction.
I1XG(mm4)＝ab3/12-I1XH＝38700672
I2XG(mm4)＝ca3/12-I2XH＝76934059
I1YG(mm4)＝ba3/12-I1YH＝28706432
I2YG(mm4)＝ac3/12-I2YH＝638506666.7
S103: and determining an equivalent parameter set which has a corresponding relation with the specified parameter set according to the specified parameter set and by combining a preset conversion formula.
Determining the concrete moment of inertia and the steel moment of inertia of the centroid section in the X direction according to the input condition data; and
determining the concrete moment of inertia and the steel moment of inertia of the centroid section in the Y direction according to the input condition data; and
and according to the determined concrete moment of inertia and steel moment of inertia of the opposite centroid cross section in the X direction and the determined concrete moment of inertia and steel moment of inertia of the opposite centroid cross section in the Y direction, determining the bending rigidity of the opposite centroid cross section of the special-shaped cross section in the X direction and determining the bending rigidity of the opposite centroid cross section of the special-shaped cross section in the Y direction.
Preferably, the condition data is input, including:
determining the concrete inertia moment and the steel inertia moment of each sub-section in the X direction; and
determining the concrete inertia moment and the steel inertia moment of each sub-section in the Y direction; and
the length of each edge of the obtained special-shaped section forming the steel pipe concrete special-shaped column and the thickness of a steel plate related to each edge; and
the position coordinates of the centroid of the irregular cross section are determined.
For example, the centroid cross section characteristic can be calculated by the following calculation formula:
IXHrepresenting the moment of inertia of the concrete in the X direction for a centroid section.
IXGThe moment of inertia of the steel material in the X direction is shown for the centroid cross section.
IYHRepresenting the moment of inertia of the concrete in the Y direction for the centroid section.
IyGThe moment of inertia of the steel material in the Y direction is shown for the centroid cross section.
IXH(mm4)＝I1XH+A1H(Y0-b/2)2+I2XH+A2H(a/2+b-Y0)2＝135773812
IYH(mm4)＝I1YH+A1H(x0-a/2)2+I2YH+A2H(c/2-x0)2＝3928250307
IXG(mm4)＝I1XG+A1G(Y0-b/2)2+I2XG+A2H(a/2+b-Y0)2＝251570578
IyG(mm4)＝I1yG+A1G(x0-a/2)2+I2yG+A2G(c/2-x0)2＝586151003.2
E (C40 concrete, KN/mm)2)＝33.50
E (Steel, KN/mm)2)＝206
0.1626＝(EConcrete and its production method/ESteel)
EGIXAnd after the steel pipe concrete special-shaped column with the L-shaped section is converted into the opposite-centroid section, the bending rigidity of the opposite-centroid section in the X direction is realized.
EGIYAnd after the steel pipe concrete special-shaped column with the L-shaped section is converted into the opposite-centroid section, the bending rigidity of the opposite-centroid section in the Y direction is realized.
EGIX(mm4)＝(IXH(mm4)×(EConcrete and its production method/ESteel、)+IXG(mm4))×ESteel、＝9734261843
EGIY(mm4)＝(IYH(mm4)×(EConcrete and its production method/ESteel)+IYG(mm4))×ESteel、＝252343491954
S104: and determining the rectangular section of the concrete filled steel tube rectangular column matched with the equivalent parameter set as an equivalent rectangular section.
Specifically, an initial parameter set of a rectangular section is obtained;
determining the section characteristics of the rectangular section according to the initial parameter set of the rectangular section;
judging whether the difference between the section characteristics of the rectangular section and the section characteristics of the opposite centroids meets a preset error range or not;
and when the judgment result is yes, determining that the rectangular section related to the judgment result is the equivalent rectangular section of the special-shaped section.
Preferably, determining the cross-sectional characteristics of the rectangular cross-section from the initial set of parameters for the rectangular cross-section comprises:
according to the initial parameter set of the rectangular section, determining the sectional area of the steel material of the rectangular section, the bending rigidity in the X direction and the bending rigidity in the Y direction; and
judging whether the difference between the section characteristic of the rectangular section and the section characteristic of the opposite centroid meets a preset error range or not, including:
and judging whether the differences between the sectional area of the steel material with the rectangular section, the bending rigidity in the X direction and the bending rigidity in the Y direction and the sectional area of the steel material with the opposite centroid section, the bending rigidity in the X direction and the bending rigidity in the Y direction respectively accord with preset respective error ranges.
The following illustrates the conversion calculation process for rectangular sections:
m(mm)＝525 n mm＝320
t1(mm)＝9.00 t2(mm)＝12.00
it is described that a, b, c, d and t are raw data and are input information, and m, n, t1 and t2 are calculated by the above various formulas and represent the side length of the equivalent rectangular cross section and the thickness of the steel sheet.
The calculation process of the moment of inertia of the transformed rectangular cross section is described below:
IXHrepresenting the moment of inertia of the concrete in the X direction for the transformed rectangular cross-section (i.e., equivalent rectangular cross-section).
IXGRepresenting the moment of inertia of the steel material in the X direction for the transformed rectangular cross-section (i.e., equivalent rectangular cross-section).
IYHRepresenting the moment of inertia of the concrete in the Y direction for the transformed rectangular cross-section (i.e., the equivalent rectangular cross-section).
IYGRepresenting the moment of inertia of the steel material in the Y direction for the transformed rectangular cross-section (i.e., equivalent rectangular cross-section).
IXH(mm4)＝(b/2h)3/12＝1149945634
IYH(mm4)＝(h-2t1)3/12＝3164746109
IXG(mm4)＝(b×h)3/12-IXH(mm4)＝283654366
IYG(mm4)＝(b×h)3/12-IYH(mm4)＝694003892
EGIX(KN-mm2)＝(IXH(mm4)×EConcrete and its production method/ESteel+IXG(mm4))×ESteel＝96955978135
EGIX(KN-mm2) For bending stiffness in the X-direction of the converted cross-section
EGIX(mm4)/EGIX(KN-mm2)＝1.00399
Here, the bending stiffness ratio in the X direction of the original cross section and the converted cross section is shown, which indicates that the bending stiffness in the X direction of the original cross section and the converted cross section is approximately equal (the error is about 1%).
EGIY(KN-mm2)＝(IYH(mm4)×EConcrete and its production method/ESteel+IYG(mm4))×ESteel＝248983796284
EGIY(KN-mm2) For bending stiffness in the Y direction of the converted cross section
EGIY(mm4)/EGIY(KN-mm2)＝1.01349
Here, the bending stiffness ratio in the Y direction of the original cross section and the converted cross section is shown, which indicates that the bending stiffness in the Y direction of the original cross section and the converted cross section is approximately equal (the error is about 1%).
AG(mm2)＝b×h-(b-2×t2)(h-2×t1)＝16698
Here, the sectional area of the transformed rectangular-section steel plate.
(A1G(mm2)+A2G(mm2))/AG(mm2)＝1.01377
The ratio of the cross-sectional areas of the original cross-sectional steel plate and the transformed rectangular cross-sectional steel plate is shown here, which indicates that the cross-sectional areas of the original cross-sectional steel plate and the transformed rectangular cross-sectional steel plate are approximately equal (error is about 1%). See table one below:
watch 1
| a | b | c | d | t | m | n | t1 | t2 |
| 180 | 220 | 600 | 400 | 8 | 525 | 320 | 9.00 | 12.00 |
a. b, c, d and t are input original data, and m, n, t1 and t2 are results obtained by program calculation. Through the calculation of the formula, the sectional areas of the original section and the converted section steel plate are approximately equal, and the comparison error is 1%, so that the calculation results of m, n, t1 and t2 are obtained.
The special-shaped column and the converted rectangular column can be equivalent, and the following three conditions are required to be met:
1. the bending stiffness of the original section of the special-shaped column and the bending stiffness of the converted section in the X direction are approximately equal (the error is about 1 percent);
2. the bending stiffness of the original section of the special-shaped column in the Y direction is approximately equal to that of the converted section (the error is about 1 percent);
3. the sectional areas of the original section of the special-shaped column and the steel plate with the converted section are approximately equal (the error is about 1 percent).
The above three conditions must be met simultaneously. The error ranges are all-1.5% to 1.5%.
Fig. 4 is a functional module schematic diagram of an equivalent rectangular cross section calculation device of the concrete filled steel tube special-shaped column according to the embodiment of the invention. Referring to fig. 4, an embodiment of the present invention provides an equivalent rectangular cross-section calculation apparatus for a steel pipe concrete special-shaped column according to a second aspect, including:
the information acquisition module 401 is used for acquiring information of the special-shaped section of the concrete filled steel tube special-shaped column;
the storage and operation processing module 402 is used for determining an appointed parameter set of the special-shaped section according to the information of the special-shaped section; the equivalent parameter set which is used for determining the equivalent parameter set corresponding to the specified parameter set according to the specified parameter set and by combining a preset conversion formula stored in the storage and operation processing module; and determining the rectangular section of the concrete filled steel tube rectangular column matched with the equivalent parameter set as an equivalent rectangular section.
Fig. 5 is a schematic structural diagram of a terminal for calculating an equivalent rectangular cross section of a concrete filled steel tube special-shaped column according to an embodiment of the present invention. Referring to fig. 5, an embodiment of the present invention provides a terminal for calculating an equivalent rectangular cross-section of a steel pipe concrete special-shaped column according to a third aspect, including: a memory 501 and a processor 502.
The terminal for calculating the equivalent rectangular section of the concrete filled steel tube special-shaped column in the embodiment of the invention also comprises at least one program; at least one program, stored in a memory, configured to implement the following steps when executed by the processor:
acquiring information of the special-shaped section of the steel pipe concrete special-shaped column;
determining an appointed parameter set of the special-shaped section according to the information of the special-shaped section;
determining an equivalent parameter set which has a corresponding relation with the specified parameter set according to the specified parameter set and by combining a preset conversion formula;
and determining the rectangular section of the concrete filled steel tube rectangular column matched with the equivalent parameter set as an equivalent rectangular section.
As used herein, the singular forms "a", "an", "the" and "the" are intended to include the plural forms as well, unless the context clearly indicates otherwise. It will be further understood that the terms "comprises" and/or "comprising," when used in this specification, specify the presence of stated features, integers, steps, operations, elements, and/or components, but do not preclude the presence or addition of one or more other features, integers, steps, operations, elements, components, and/or groups thereof. It will be understood that when an element is referred to as being "connected" or "coupled" to another element, it can be directly connected or coupled to the other element or intervening elements may also be present. Further, "connected" or "coupled" as used herein may include wirelessly connected or wirelessly coupled. As used herein, the term "and/or" includes all or any element and all combinations of one or more of the associated listed items.
It will be understood by those skilled in the art that, unless otherwise defined, all terms (including technical and scientific terms) used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this invention belongs. It will be further understood that terms, such as those defined in commonly used dictionaries, should be interpreted as having a meaning that is consistent with their meaning in the context of the prior art and will not be interpreted in an idealized or overly formal sense unless expressly so defined herein.
It will be understood by those within the art that each block of the block diagrams and/or flowchart illustrations, and combinations of blocks in the block diagrams and/or flowchart illustrations, can be implemented by computer program instructions. Those skilled in the art will appreciate that the computer program instructions may be implemented by a processor of a general purpose computer, special purpose computer, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, implement the features specified in the block or blocks of the block diagrams and/or flowchart illustrations of the present disclosure.
Those of skill in the art will appreciate that various operations, methods, steps in the processes, acts, or solutions discussed in the present application may be alternated, modified, combined, or deleted. Further, various operations, methods, steps in the flows, which have been discussed in the present application, may be interchanged, modified, rearranged, decomposed, combined, or eliminated. Further, steps, measures, schemes in the various operations, methods, procedures disclosed in the prior art and the present invention can also be alternated, changed, rearranged, decomposed, combined, or deleted.
The foregoing is only a partial embodiment of the present invention, and it should be noted that, for those skilled in the art, various modifications and decorations can be made without departing from the principle of the present invention, and these modifications and decorations should also be regarded as the protection scope of the present invention.
Claims (8)
1. The equivalent rectangular section calculation method of the steel pipe concrete special-shaped column is characterized by comprising the following steps of:
acquiring information of the special-shaped section of the steel pipe concrete special-shaped column;
determining an appointed parameter set of the special-shaped section according to the information of the special-shaped section;
determining an equivalent parameter set which has a corresponding relation with the specified parameter set according to the specified parameter set and by combining a preset conversion formula;
determining a rectangular section of the concrete filled steel tube rectangular column matched with the equivalent parameter set as an equivalent rectangular section;
wherein, the information of the dysmorphism cross-section of acquireing steel pipe concrete dysmorphism post includes: acquiring the length of each edge of a special-shaped section forming the steel pipe concrete special-shaped column, the thickness of a steel plate related to each edge and position relation information between sub-sections in the special-shaped section;
the determining the appointed parameter set of the special-shaped section according to the information of the special-shaped section comprises the following steps: determining the position of the centroid of the special-shaped cross section and the local cross section characteristics of the special-shaped cross section according to the length of each side of the special-shaped cross section, the thickness of the steel plate related to each side and the position relation information between the sub cross sections in the special-shaped cross section; determining the section characteristic of a transition section corresponding to the section characteristic of the special-shaped section according to the position of the centroid of the special-shaped section and the local section characteristic of the special-shaped section, and taking the section characteristic as the opposite centroid section characteristic;
the determining the position of the centroid of the special-shaped cross section comprises: cutting the special-shaped cross section to enable the cut sub-cross section to be in a regular geometric shape; determining the section area of each sub-section forming the special-shaped section; and determining the concrete section area and the steel section area in the special-shaped section of the steel pipe concrete special-shaped column, and determining the position of the centroid of the special-shaped section.
2. The computing method according to claim 1, characterized in that: the determining of the local section characteristics of the profiled section comprises:
determining the concrete moment of inertia and the steel moment of inertia of each sub-section of the special-shaped section of the steel pipe concrete special-shaped column; the method specifically comprises the following steps:
respectively determining the concrete inertia moment and the steel inertia moment of each sub-section in the X direction; and
and respectively determining the concrete inertia moment and the steel inertia moment of each sub-section in the Y direction.
3. The computing method according to claim 2, characterized in that: the determining, according to the specified parameter set and in combination with a preset conversion formula, an equivalent parameter set having a corresponding relationship with the specified parameter set includes:
determining the concrete moment of inertia and the steel moment of inertia of the centroid section in the X direction according to the input condition data;
determining the concrete moment of inertia and the steel moment of inertia of the centroid section in the Y direction according to the input condition data;
and determining the bending rigidity of the opposite centroid cross section of the special-shaped cross section in the X direction and the bending rigidity of the opposite centroid cross section of the special-shaped cross section in the Y direction according to the determined concrete inertia moment and steel inertia moment of the opposite centroid cross section in the X direction and the determined concrete inertia moment and steel inertia moment of the opposite centroid cross section in the Y direction.
4. The computing method according to claim 3, characterized in that: the input condition data includes:
determining the concrete inertia moment and the steel inertia moment of each sub-section in the X direction; and
determining the concrete inertia moment and the steel inertia moment of each sub-section in the Y direction; and
the length of each edge of the obtained special-shaped section forming the steel pipe concrete special-shaped column and the thickness of a steel plate related to each edge; and
the position coordinates of the centroid of the irregular cross section are determined.
5. The calculation method according to claim 1, wherein the determining a rectangular cross section of the concrete filled steel tube rectangular column matched with the equivalent parameter set as an equivalent rectangular cross section comprises:
acquiring an initial parameter set of a rectangular section;
determining the section characteristics of the rectangular section according to the initial parameter set of the rectangular section;
judging whether the difference between the section characteristics of the rectangular section and the section characteristics of the opposite centroids meets a preset error range or not;
and when the judgment result is yes, determining that the rectangular section related to the judgment result is the equivalent rectangular section of the special-shaped section.
6. The computing method of claim 5, wherein determining the cross-sectional characteristics of the rectangular cross-section from the initial set of parameters for the rectangular cross-section comprises:
determining the sectional area of steel of the rectangular section, the bending rigidity in the X direction and the bending rigidity in the Y direction according to the initial parameter set of the rectangular section; and
the judging whether the difference between the section characteristic of the rectangular section and the section characteristic of the opposite centroid meets a preset error range includes:
and judging whether the differences between the sectional area of the steel material with the rectangular section, the bending stiffness in the X direction and the bending stiffness in the Y direction and the sectional area of the steel material with the opposite centroid section, the bending stiffness in the X direction and the bending stiffness in the Y direction respectively accord with preset respective error ranges.
7. The utility model provides an equivalent rectangular cross section computing device of steel pipe concrete dysmorphism post which characterized in that includes:
the information acquisition module is used for acquiring the information of the special-shaped section of the concrete filled steel tube special-shaped column;
the storage and operation processing module is used for determining an appointed parameter set of the special-shaped section according to the information of the special-shaped section; the equivalent parameter set which is in corresponding relation with the specified parameter set is determined by combining a preset conversion formula stored in the storage and operation processing module according to the specified parameter set; determining a rectangular section of the concrete filled steel tube rectangular column matched with the equivalent parameter set as an equivalent rectangular section;
wherein, the information of the dysmorphism cross-section of acquireing steel pipe concrete dysmorphism post includes: acquiring the length of each edge of a special-shaped section forming the steel pipe concrete special-shaped column, the thickness of a steel plate related to each edge and position relation information between sub-sections in the special-shaped section;
the determining the appointed parameter set of the special-shaped section according to the information of the special-shaped section comprises the following steps: determining the position of the centroid of the special-shaped cross section and the local cross section characteristics of the special-shaped cross section according to the length of each side of the special-shaped cross section, the thickness of the steel plate related to each side and the position relation information between the sub cross sections in the special-shaped cross section; determining the section characteristic of a transition section corresponding to the section characteristic of the special-shaped section according to the position of the centroid of the special-shaped section and the local section characteristic of the special-shaped section, and taking the section characteristic as the opposite centroid section characteristic;
the determining the position of the centroid of the special-shaped cross section comprises: cutting the special-shaped cross section to enable the cut sub-cross section to be in a regular geometric shape; determining the section area of each sub-section forming the special-shaped section; and determining the concrete section area and the steel section area in the special-shaped section of the steel pipe concrete special-shaped column, and determining the position of the centroid of the special-shaped section.
8. The utility model provides a terminal of equivalent rectangular cross section of calculation steel pipe concrete dysmorphism post which characterized in that includes:
a processor;
a memory;
at least one program, stored in the memory, configured to implement the following steps when executed by the processor:
acquiring information of the special-shaped section of the steel pipe concrete special-shaped column;
determining an appointed parameter set of the special-shaped section according to the information of the special-shaped section;
determining an equivalent parameter set which has a corresponding relation with the specified parameter set according to the specified parameter set and by combining a preset conversion formula;
determining a rectangular section of the concrete filled steel tube rectangular column matched with the equivalent parameter set as an equivalent rectangular section;
wherein, the information of the dysmorphism cross-section of acquireing steel pipe concrete dysmorphism post includes: acquiring the length of each edge of a special-shaped section forming the steel pipe concrete special-shaped column, the thickness of a steel plate related to each edge and position relation information between sub-sections in the special-shaped section;
the determining the appointed parameter set of the special-shaped section according to the information of the special-shaped section comprises the following steps: determining the position of the centroid of the special-shaped cross section and the local cross section characteristics of the special-shaped cross section according to the length of each side of the special-shaped cross section, the thickness of the steel plate related to each side and the position relation information between the sub cross sections in the special-shaped cross section; determining the section characteristic of a transition section corresponding to the section characteristic of the special-shaped section according to the position of the centroid of the special-shaped section and the local section characteristic of the special-shaped section, and taking the section characteristic as the opposite centroid section characteristic;
the determining the position of the centroid of the special-shaped cross section comprises: cutting the special-shaped cross section to enable the cut sub-cross section to be in a regular geometric shape; determining the section area of each sub-section forming the special-shaped section; and determining the concrete section area and the steel section area in the special-shaped section of the steel pipe concrete special-shaped column, and determining the position of the centroid of the special-shaped section.
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Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US20120113036A1 (en) * | 2006-09-27 | 2012-05-10 | Lee Chang Sub | Mobile communication terminal and method of selecting menu and item |
| CN106127850A (en) * | 2016-06-28 | 2016-11-16 | 武汉联图时空信息科技有限公司 | The three-dimensional visualization method of a kind of mobile terminal indoor and outdoor integration and device |
-
2017
- 2017-09-30 CN CN201710924206.7A patent/CN107480407B/en active Active
Patent Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US20120113036A1 (en) * | 2006-09-27 | 2012-05-10 | Lee Chang Sub | Mobile communication terminal and method of selecting menu and item |
| CN106127850A (en) * | 2016-06-28 | 2016-11-16 | 武汉联图时空信息科技有限公司 | The three-dimensional visualization method of a kind of mobile terminal indoor and outdoor integration and device |
Non-Patent Citations (1)
| Title |
|---|
| 考虑二阶效应的火灾后不等肢L形型钢混凝土异形柱偏心距增大系数的研究;高立堂等;《四川建筑科学研究》;20161031;1-4 * |
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