KR20140008577A - Method for designing series of composite columns considering environmental effects - Google Patents

Method for designing series of composite columns considering environmental effects Download PDF

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KR20140008577A
KR20140008577A KR1020120074063A KR20120074063A KR20140008577A KR 20140008577 A KR20140008577 A KR 20140008577A KR 1020120074063 A KR1020120074063 A KR 1020120074063A KR 20120074063 A KR20120074063 A KR 20120074063A KR 20140008577 A KR20140008577 A KR 20140008577A
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column
composite
designing
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consideration
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KR101596692B1 (en
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박효선
박지형
전지혜
이환영
최세운
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연세대학교 산학협력단
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Abstract

The present invention relates to a method for designing series of composite columns considering environmental effects, and comprises a step of forming a first population by selecting composite column members from composite column member data organized based on building modeling data, CO2 displacement in the level of the composite column member, and the force of the composite column; a step of determining the property of each composite column member according to a first restriction condition for the member of the composite column selected in the first population; a step of calculating each purpose function for minimizing the CO2 displacement of the building and the structure cost of the composite column, in which the properties are determined, and of determining the level of the composite columns and a crowding distance according to a second restriction condition; and a step of determining the satisfaction of a termination condition according to the level and the crowding distance and the satisfaction of the first restriction condition and the second restriction condition. [Reference numerals] (S10) Constructing a composite column member database by analyzing a structure; (S20) Forming a first group by determining a parameter which is necessary for an NSGA-II algorithm; (S21) Forming a new n group when a termination condition is not satisfied; (S30) Applying sub restriction condition for construct ability; (S40) Applying main restriction condition and determining a purpose function for reducing the CO2 displacement of a building and the structure cost of a composite column; (S50) Determining a crowding distance and the ranking of a member according to a control relationship of each member; (S60) Designing an optimal composite column by determining the satisfaction of a termination condition; (S61) Examining the design of a composite column line

Description

Design method of composite column column considering environmentality {METHOD FOR DESIGNING SERIES OF COMPOSITE COLUMNS CONSIDERING ENVIRONMENTAL EFFECTS}

The present invention relates to a structural design method of a buried composite column, and more particularly, to design a composite column in consideration of environmental properties that can minimize the structural cost and CO2 generation amount of the buried composite column member used in the high-rise building structural design. It is about a method.

Recently, with the seriousness of environmental problems, various technologies are being developed to reduce the amount of CO 2 generated in the construction industry, which is one of the environmentally harmful industries. These prior arts are focused on the development of new materials with low CO 2 emissions or the development of technologies for reducing the CO 2 emissions generated during the maintenance phase of buildings. However, in order to reduce CO 2 emissions more effectively in the construction industry, technology development should be carried out to reduce CO 2 emissions from the initial design stage for construction.

As a prior art, Korean Patent Application Publication No. 10-2011-0026351, "Total Life Cycle Cost Analysis System for Buildings," is an analysis period and interest rates for facilities constructed by private investment projects such as BTL (Build-Transfer-Lease). Based on the variable factors such as initial investment cost, operation management cost, maintenance cost, energy cost, and disposal disposal cost, the total lifecycle cost is analyzed roughly at the beginning of the project, and the building is verified for the feasibility of the project cost before the BTL project. It is about a total life cycle cost analysis system.

The prior art analyzes the cost feasibility of BTL private investment projects in the early stages, focusing on public education facilities and military housing facilities, which are the key targets of BTL projects, and minimizes costs including operation management costs and energy costs. It is a technology that can verify the validity of the project cost. In addition, it is a technology to analyze the sensitivity of each case according to the cost analysis setting variables such as facility type, service life, interest rate, and total floor area.

However, the related art is a conventional technology for minimizing CO 2 emissions and minimizing management costs in a building maintenance step such as operation management and maintenance of a building, and environmental considerations in a building design step are not considered. In addition, the related art does not take into account the environment generated in the material production step of the building before the construction or maintenance step. Therefore, the related art has a problem that it is not possible to reduce the cost and CO 2 emissions generated in the design phase of the building material (synthetic column).

The present invention is to solve the problems as described above, the method of designing a synthetic column column in consideration of the environment according to the present invention aims to solve the following problems.

Applicable to the design phase of high-rise buildings, minimizing the CO 2 emissions generated during the production of composite columns in the building production stage, and reducing the CO 2 emissions and input costs from the heat of the composite columns when designing the composite columns in the building design phase. At the same time, an object of the present invention is to provide a method of designing a column of synthetic columns in consideration of the environment that can be minimized.

The problem of the present invention is not limited to those mentioned above, and other problems not mentioned will be clearly understood by those skilled in the art from the following description.

In order to solve the above problems, the method for designing a column of synthetic columns in consideration of environmental aspects is to provide composite column members from a composite column member database constructed based on the member force of the composite column, the CO2 emissions of the composite column members, and the building modeling data. Selecting and forming a first population.

Also, for the member of the composite pillar selected in the first population, determining the properties of each composite pillar member according to the first constraint, for minimizing the structure cost of the composite pillar member whose properties are determined and the CO2 emissions of the building Computing respective objective functions and determining the rank and clustering distance of the composite column members according to the second constraint. The method may include determining whether the first constraint and the second constraint are satisfied and whether the termination condition is satisfied according to the rank and the cluster distance.

The method of designing a synthetic column column in consideration of environmental properties according to the present invention has the following effects.

And through the structural analysis securing step CO 2 emission of the member forces and the absence of a composite column required for structure design and build a composite column member database to form a first population, the first constraints for the members of the composite column selected from the first population By applying the conditions and the second constraint and designing the column of composite columns using the CO 2 emissions and costs generated from the column of the target building as the objective function, the members (concrete, steel, reinforcing bars) may be used depending on the absence of the building. it is possible to minimize CO 2 emissions and the cost of emissions at the production stage.

In addition, it can be applied to high-rise buildings, and by using the NSGA-II algorithm, which is one of the heuristic techniques, it is possible to design composite column columns that can minimize CO 2 emissions and costs.

The effects of the present invention are not limited to those mentioned above, and other effects not mentioned can be clearly understood by those skilled in the art from the following description.

1 is a view for explaining a method of designing a synthetic column column in consideration of the environment according to the present invention.
2 is a view for explaining the composite column member database in the design method of the column of synthetic columns in consideration of the environment according to the present invention.
3 is a view for explaining the PM correlation in the design method of the column of synthetic columns in consideration of the environment according to the present invention.
4 and 5 is another view illustrating a method for designing a synthetic column column in consideration of the environment according to the present invention.

Hereinafter, with reference to the accompanying drawings for an embodiment of the present invention will be described the configuration and operation. In addition, in the present invention, only the embedded composite pillar (SRC) that is a vertical member of the building frame method. In the building frame system, the core shear wall bears more than 75% of the lateral force, so that the core bears all the lateral force and the moment frame bears only the gravity load. In the building frame method, the column bears only the gravity load, so the load of the column due to the change of the column cross-section performance in the optimized design method is the change of the self-weight, which is relatively smaller than the total gravity load the column bears. The load and the member force can be assumed to be constant. For this reason, the proposed method of designing the optimized columnar columns is a design method that can be applied to a high-rise building with a large number of members because it is not required to repeat the structural analysis.

1 is a view for explaining a method of designing a synthetic column column in consideration of the environment according to the present invention. As shown, the design method of the column of synthetic columns in consideration of environmental characteristics is a structural design method of the column of synthetic columns in consideration of the environment using an information processing device equipped with a program to enable the processing of a certain work, the member force of the composite column, the composite column And selecting the composite pillar members from the composite pillar member database constructed based on the CO 2 emissions and the building modeling data for each stage of the member to form a first population (corresponding to steps S10 and S20).

The method may further include determining properties of each of the composite pillar members according to the first constraint for the member of the composite pillar selected in the first population (step S30).

In addition, calculating the respective objective functions for minimizing the structural cost of the composite column member and the CO 2 emission of the building determined the properties and determine the rank and the clustering distance of the composite column member according to the second constraint (S40). And corresponds to step S50).

In addition, the method may include determining whether the first constraint and the second constraint are satisfied and whether the termination condition is satisfied according to the rank and the cluster distance (operation S60).

In addition, if the termination condition is not satisfied, forming a new n-th population in order of satisfying the first and second constraints and having a small rank value and a large value of the cluster distance (step S21). More).

Furthermore, the method of designing a synthetic column column in consideration of environmental conditions according to the present invention satisfies the first constraint condition and the second constraint condition, until the end condition whose rank is 1 and the maximum clustering distance is satisfied in step S60, Characterized in that step S10 to repeat the step S60.

Further, calculating the objective functions for minimizing the structural cost of the composite column member having the properties determined and the CO 2 emission of the building, and determining the rank and the clustering distance of the composite column members according to the second constraint, Computing the respective objective functions for minimizing the structural cost of the composite column member and the CO 2 emission of the building whose properties are determined, and determining whether the second constraint is satisfied and the result of the determination of the second constraint. Determining the rank and the cluster distance.

In an embodiment, step S10 uses discrete variables to apply the NSGA-II algorithm, and secures CO 2 emissions for each production step, transportation step, and construction step of composite column members (concrete, steel, and rebar). It is characterized by. The synthetic column member database in step S10 will be described with reference to FIG.

2 is a view for explaining the composite column member database in the design method of the column of synthetic columns in consideration of the environment according to the present invention. As shown, the composite column member database is a database of steel for concrete compressive strength, and includes a plurality of composite column member information according to the size of the composite section and the size of the steel. The composite column member database is constructed using discrete variables for the application of the NSGA-II algorithm, and using the CO 2 emissions for each production, transportation and construction stage of the composite column member.

As shown in FIG. 2, the composite column member database in step S10 may be a database of steel for one concrete compressive strength, and includes five steel grades in the present invention, and the size of each composite section and the size of the steel. In total, 512 composite column cross sections are included, including 23 SM-490 rolled members, 31 SM-490 members, 132 SM-490TMCP members, 163 SM-520TMCP members, and 163 SM-570TMCP members.

In the present invention, since 512 data obtained for each of seven concrete strengths (21, 24, 27, 30, 35, 40, and 50 MPa) are applied, the member of the composite column is selected based on a total of 3854 data.

In addition, in step S10 to secure the CO 2 emissions of the composite pillar member step by step to secure the CO 2 emissions according to the production stage of the member. Each stage is divided into material production stage, transportation stage and construction stage. Calculating the CO 2 emission at the production stage is obtained by calculating a steel frame and reinforced by the strength and size of CO 2 emission and the concrete strength, and specific mixing ratio by CO 2 emission of a. In the transport phase CO 2 emission calculation is made of a material calculated by applying the rules breakup equipment CO 2 emissions.

In step S10 of the present invention to secure the CO 2 emissions of the composite pillar member step by step may be to use the CO 2 emissions of the composite pillar member already disclosed. In addition, even if the CO 2 emissions of the synthetic pillar members are not accurate, the method of designing the columns of the composite columns in consideration of the environmental environment according to the present invention may find an optimal solution for the design of the columns of the columns of the composite columns.

In addition, the calculation of CO 2 emissions at the construction stage consists of calculating the CO 2 emissions according to the equipment and materials for each type. As described above, the material production step in the present invention is interpreted as the production step of the composite column member (concrete, steel, rebar).

In the present invention, step S20 in the present invention, NSGA-II (Nondominated) of one of the multi-purpose genetic algorithm technique to minimize the two objective functions (CO 2 emissions and costs generated from the synthetic column heat) in the high-rise building at the same time Sorting Genetic Algorithm-II) parameters are determined to form a first population in the composite column database.

In step S30, in order to limit the total cross-sectional area of the upper member, the size of the steel frame, the yield strength of the steel and the compressive strength of the concrete in the first population formed in step S20 not to be larger than the lower member, the first constraint condition for constructability is applied.

In step S30, the shear area A g of the composite column upper member according to the application of the first constraint is limited as shown in Equation 1 below.

Figure pat00001

Here, i denotes the i-th member among the first member to the M-1th member, i and i + 1 indicate two adjacent layers, and M is a natural number.

In the present invention, the upper member means the upper layer member in two adjacent layers. The properties of the composite column member include shear area, steel dimension, yield strength of section steel and concrete compressive strength, and the first constraint is that the shear area of upper member, steel dimension, yield strength of concrete section and concrete compressive strength It is characterized by a condition not larger than each of the members.

Further, in step S30, the inner dimension S i s _ i of the inner steel of the steel frame according to the application of the first constraint condition is limited as in Equation 2.

Figure pat00002

Here, i represents the i-th member among the first member to the M-1 th member, i and i + 1 indicate two adjacent layers, and M is a natural number. Also,

Figure pat00003
Means nominal dimension.

In addition, the outer dimension S i s _ o of the steel frame according to the application of the first constraint conditions in step S30 is limited as shown in equation (3).

Figure pat00004

Here, i represents the i-th member among the first member to the M-1 th member, i and i + 1 indicate two adjacent layers, and M is a natural number. Also,

Figure pat00005
Means the height and width values of the standard section dimensions. M is a natural number.

In further detail, Equations 2 and 3 described above are constraints on the dimensions of the steel frame. The series of H-beams is divided by nominal dimensions and various H-sections are constructed according to the standard cross-sectional dimensions (height of H-beam, width of flange, thickness of flange and thickness of web) within the nominal series. The series according to the nominal dimensions are grouped in sections with similar heights of H-beams and widths of flanges.

In addition, the yield strength F i ys of the section steel according to the application of the first constraint in step S30 is limited as shown in Equation 4.

Figure pat00006

Here, i represents the i-th member among the first member to the M-1 th member, i and i + 1 indicate two adjacent layers, and M is a natural number.

In step S30, the compressive strength f i ck of concrete according to the application of the first constraint is limited as shown in Equation 5 below.

Figure pat00007

Here, i represents the i-th member among the first member to the M-1 th member, i and i + 1 indicate two adjacent layers, and M is a natural number.

In one embodiment, in step S40, after the step S30, according to the strength of the concrete and the steel to determine the two objective functions to minimize the amount of CO 2 and cost emitted in the production step of the member at the same time.

Among the objective functions in step S40, the objective function f 2 for reducing the CO 2 emissions of buildings in consideration of the unit CO 2 emissions by strength of steel and concrete is defined by Equation 6 below.

Figure pat00008

Here, A and L represent the cross-sectional area and member length of each member, ρ represents the density of the material (concrete, steel, reinforcing bar), E represents the CO 2 emissions of the material according to each design variable. Subscripts S and C represent steel and concrete, superscript i represents the i-th member, and M represents the total number of members included in one column of columns.

In addition, among the objective functions of step S40, the objective function f 1 for minimizing the structure cost in consideration of the unit cost of materials (concrete, steel, reinforcing steel) of the composite column and concrete strength is defined by Equation 7.

Figure pat00009

Here, A and L represent the cross-sectional area and member length of each member, ρ represents the density of the material (concrete, steel, rebar), C represents the unit price of the material according to each design variable. Subscripts S and C represent steel and concrete, superscript i represents the i-th member, and M represents the total number of members included in one column of columns.

In step S40, after determining the objective function, in step S30, the second constraint is applied to the member to which the first constraint is applied. In step S40, the structural constraint review, the safety review, etc. are performed by applying the second constraint condition, which can be represented by the following equations. In step S40, the structural constraints on the cross-sectional area of the steel core are examined by applying the second constraint, which is represented by Equation 8 below.

Figure pat00010

Where A S is the cross-sectional area of the steel frame, b is the width of the front face of the buried composite column, and h is the height of the front face of the buried composite column.

 In addition, by applying the second constraint condition in step S40 to examine the structural restrictions on the longitudinal cross-sectional area of the rebar, which is represented by the following equation (9).

Figure pat00011

Where A r is the cross-section of the longitudinal reinforcing bars, b is the width of the buried composite column shear surface, and h is the height of the buried composite column shear surface.

In addition, in step S40, the second constraint is applied to examine the safety of the combined load. Equation 10 below shows PM correlation (

Figure pat00012
Indicates a review by).

Figure pat00013

If P r < P c ,

Figure pat00014

Here, L m is a distance between the origin point and the design strength point A in the PM correlation plane illustrated in FIG. 3, and the equation may refer to Equation 12. L u is the distance between the origin and the required strength point B in FIG.

In addition, the review by the interaction equation is applied by applying the second constraint conditions in step S40. This is represented by equation (11).

Figure pat00015

If P r ≥ P c ,

Figure pat00016

Where P r is required compressive strength, P A is available compressive strength at design strength point A in the PM correlation plane illustrated in FIG. 3, P C is available compressive strength at design strength point C in FIG. 3, and M C is At 3, the available flexural strength at design strength point C, M r is the required flexural strength, X is the symbolic subscript associated with the flexural deflection, and y is the flexural deflection.

The examination by PM correlation diagram made for the safety review of the combined load according to Equation 10 in step S40 will be described with reference to FIG. 3 is a view for explaining the PM correlation in the design method of the column of synthetic columns in consideration of the environmental characteristics according to the present invention.

Load point in Figure 3 to satisfy the resistance performance of the composite column cross section

Figure pat00017
The position of must be within the PM correlation, and if it is outside the curve the load point B is the intersection
Figure pat00018
As the distance from is increased, the constraint violation rate increases. The distance from the origin to the intersection A can be represented by Equation 12 below.

Figure pat00019

here,

Figure pat00020
Represents the design bending strength,
Figure pat00021
Denotes the design compressive strength.

In addition, the distance from the origin to the load point B can be represented by the following equation (13).

Figure pat00022

Where M u is required flexural strength, P U is required compressive strength, and represents the load acting on the member.

Required bending strength acting on the target structure Required Compressive Strength

Figure pat00023
Because you know the slope
Figure pat00024
The coordinates of intersection point A can be calculated using a straight line passing through point B.

Step S40 determines the target function and constraint violation rate of progeny and parent generation formed through the selection, mating, and mutation of the population following the first population. In step S50, ranking and crowding distance are determined according to the dominance relationship of each entity.

The present invention satisfies the first and second constraint conditions to form a new population through the step S21 in order of small value of rank and large value of cluster distance. In addition, the present invention repeats the above-described steps n times until the end condition is satisfied in step S60, thereby obtaining an optimized n-th population having a rank of 1 without violating the first and second constraints. . In addition, the present invention will examine the design of the column of synthetic columns obtained as performed from step S10 to step S60.

The present invention for in the absence of composite columns selected by building a composite column member database to obtain a phased CO 2 emission of the member forces and the absence of a composite column required for structure design through the structural analysis and to form a first population, the first population the first constraint and the second and apply constraints, by designing a composite column column using a CO 2 emission and the costs incurred in composite columns columns of the target structures in the objective function, the discharge in the material production according to the member of the structure Minimize CO 2 emissions and costs.

In addition, it can be applied to high-rise buildings, and by using the NSGA-II algorithm, which is one of the heuristic techniques, it is possible to design composite column columns that can minimize CO 2 emissions and structural costs.

4 and 5 is another view illustrating a method for designing a synthetic column column in consideration of the environment according to the present invention. 4 and 5 will be described an example in which the method of designing a synthetic column column in consideration of the environment according to the present invention is applied.

Application of the present invention is an example structure 400 as shown in Figure 4, the structure is a multistory building of 35 stories above ground, 6 stories underground. The lateral force of this structure is borne by the shear wall, and the moment frame consisting of embedded composite columns and steel beams bears only the gravity load. In the present example, the present invention is applied to a column of synthetic columns consisting of 13 groups among 19 types of column of synthetic columns.

In the example to which the present invention is applied, NSGA-II based on Pareto is used to simultaneously consider two objective functions of rescue cost and CO 2 emissions, and NSGA-II parameters are used with a crossing rate of 0.9 and a mutation rate of 0.0085. In addition, the population of the population was limited to 50 (S10 step and S20 step).

The termination condition (step S60) was terminated when the number of generation repetitions (steps S21 to S60) of the elite group having a change rate of 3% or less under the condition that the number of non-dominant solutions is at least 10 (step S61). 5 is a diagram showing the results obtained through the steps S10 to S61 as described above. As shown in FIG. 5, it can be seen that the design method 401 of the synthetic column in consideration of the environment according to the present invention is more effective in both the objective function structure cost and the CO 2 emission than the first conventional design method 402.

In addition, when comparing the design method 401 of the synthetic column column in consideration of the environment according to the present invention with the second conventional design method 403, the cost level was maintained and CO 2 emission was reduced. When the design method 401 of the composite column in FIG. 5 is implemented, the structural cost is 53,945,855 won, and the CO 2 emission is 41,054 kg-CO 2 , which is about 20.5% of the first conventional design method 402. This has led to cost savings and a reduction of approximately 17% in CO 2 emissions. Therefore, it can be seen that the present invention can be applied to a high-rise building, and it is a design method for designing a column of synthetic columns that can minimize CO 2 emissions and structural costs.

It is to be understood that both the foregoing general description and the following detailed description of the present invention are exemplary and explanatory and are intended to provide further explanation of the invention as claimed. It will be understood that variations and specific embodiments which may occur to those skilled in the art are included within the scope of the present invention.

400: example structure
401: Design method of composite column considering environmental
402: First conventional design method
403: second conventional design method

Claims (21)

In the design method of the column of composite columns considering the environment using the information processing device equipped with a program to enable the processing of work,
Forming a first population by selecting the composite pillar members from the composite pillar member database constructed based on the member force of the composite pillar, the CO 2 emissions of the composite pillar members, and the building modeling data;
Determining properties of each composite pillar member according to a first constraint, for the members of the composite pillar selected in the first population;
Calculating respective objective functions for minimizing the structural cost of the composite column member and the CO 2 emission of the building having the determined properties, and determining the rank and the clustering distance of the composite column member according to a second constraint; And
And determining whether the first constraint and the second constraint are satisfied and whether the termination condition is satisfied according to the rank and the cluster distance.
The method of claim 1,
The composite column member database is constructed using a discrete variable for the application of the NSGA-II algorithm, and is constructed using the CO 2 emissions for each production step, transportation step, and construction step of the synthetic column member. How to design column columns.
The method of claim 1,
The properties of the composite column member include the shear area, the steel dimension, the yield strength of the shaped steel and the concrete compressive strength,
The first constraint is a method of designing a column of composite columns considering environmental conditions, characterized in that the shear area of the upper member, the dimensions of the steel frame, the yield strength of the steel and the concrete compressive strength is not greater than each of the lower member.
The method of claim 1,
The shear area A g of the composite pillar upper member according to the application of the first constraint is
Figure pat00025

(Where i represents the i th member from the 1st member to the M-1 th member, i and i + 1 indicate two adjacent layers, and M is a natural number)
Method of designing a synthetic column column in consideration of environmental characteristics, characterized in that it is limited.
The method of claim 1,
The median dimension S i s _i of steel according to the application of the first constraint is expressed by the following equation
Figure pat00026
,
Figure pat00027

(Where i represents the i th member from the 1st member to the M-1 th member, i and i + 1 indicate two adjacent layers, and M is a natural number)
Method of designing a synthetic column column in consideration of environmental characteristics, characterized in that it is limited.
The method of claim 1,
The outer dimension S i s _o of steel according to the application of the first constraint is expressed by the following equation
Figure pat00028
,
Figure pat00029

(Where i represents the i th member from the 1st member to the M-1 th member, i and i + 1 indicate two adjacent layers, and M is a natural number)
Method of designing a synthetic column column in consideration of environmental characteristics, characterized in that it is limited.
The method of claim 1,
The yield strength of the beams in accordance with the application of the first constraint F i ys the formula below
Figure pat00030
,
Figure pat00031

(Where i represents the i th member from the 1st member to the M-1 th member, i and i + 1 indicate two adjacent layers, and M is a natural number)
Method of designing a synthetic column column in consideration of environmental characteristics, characterized in that it is limited.
The method of claim 1,
The compressive strength f i ck of concrete according to the application of the first constraint is expressed by the following equation
Figure pat00032
,
Figure pat00033

(Where i represents the i th member from the 1st member to the M-1 th member, i and i + 1 indicate two adjacent layers, and M is a natural number)
Method of designing a synthetic column column in consideration of environmental characteristics, characterized in that it is limited.
The method of claim 1,
Among the above objective functions, the objective function f 2 for reducing the CO 2 emissions of buildings in consideration of the unit CO 2 emissions by strength of steel and concrete is
Figure pat00034

Where A and L represent the cross-sectional area and member length of each member, ρ represents the density of the material (concrete, steel, and rebar), and E represents the CO 2 emissions of the material according to each design variable. , C denotes steel and concrete, superscript i denotes the i-th member, M denotes the total number of members included in one column of columns.)
Method of designing a synthetic column column in consideration of environmental characteristics, characterized in that defined as.
The method of claim 1,
Among the objective functions, the objective function f 1 for minimizing the structure cost in consideration of the unit cost of materials of concrete columns and concrete (concrete, steel, reinforcing bars) of concrete is represented by the following equation.
Figure pat00035

Where A and L represent the cross-sectional area and member length of each member, ρ represents the density of the material (concrete, steel, rebar), and C represents the unit price of the material according to each design variable. Subscript S, C stands for steel and concrete, superscript i for the i-th member, M for the total number of members in one column of columns.)
Method of designing a synthetic column column in consideration of environmental characteristics, characterized in that defined as.
The method of claim 1,
Wherein said second constraint comprises a cross-sectional area of the steel core, a longitudinal cross-sectional area of the reinforcing bars, and stability of combined loads.
12. The method of claim 11,
Structural limitation on the cross-sectional area of steel core is
Figure pat00036

Where A S is the cross-sectional area of the steel core, b is the width of the front face of the buried composite column, and h is the height of the front face of the buried composite column.
Method of designing a synthetic column column in consideration of environmental characteristics, characterized in that defined as.
12. The method of claim 11,
Structural limitations on the longitudinal cross-sectional area of the rebar are
Figure pat00037

Where A r is the longitudinal cross section of the reinforcing bar, b is the width of the front face of the buried composite column, and h is the height of the front face of the buried composite column.
Method of designing a synthetic column column in consideration of environmental characteristics, characterized in that defined as.
12. The method of claim 11,
The stability of the combined load is determined using the PM correlation,
Figure pat00038

Figure pat00039
(If P r < P c )
Where L m is the distance between the origin and the design strength point A, and L u is the distance between the origin and the required strength point B in the PM correlation plane.
Method of designing a synthetic column column in consideration of environmental characteristics, characterized in that defined as.
15. The method of claim 14,
The stability of the combined load is determined using the interaction equation,
Figure pat00040

Figure pat00041
, (If P r ≥ P c )
Where P r is the required compressive strength, P A is the available compressive strength at the design strength point A in the PM correlation plane, P C is the available compressive strength at the design strength point C in the PM correlation plane, and M C is the PM correlation Available flexural strength at the design strength point C in the plane of the drawing, M r is the required flexural strength, X is the symbolic subscript associated with the deflection of the shaft, and y is the deflection of the weak axis.)
Method of designing a synthetic column column in consideration of environmental characteristics, characterized in that defined as.
The distance L m between the origin and the design strength point A is
Figure pat00042

(here,
Figure pat00043
Represents the design bending strength,
Figure pat00044
Represents design compressive strength)
Method of designing a synthetic column column in consideration of environmental characteristics, characterized in that defined as.
17. The method of claim 16, wherein the distance L u from the origin to the origin and the required strength point B is
Figure pat00045

Where M u is required flexural strength, P U is required compressive strength and represents the load acting on the member.
Method of designing a synthetic column column in consideration of environmental characteristics, characterized in that defined as.
The method according to claim 1, wherein the respective objective functions are calculated for minimizing the structural cost of the composite column member and the CO2 emission of the building from which the properties are determined, and determining the rank and the clustering distance of the composite column members according to the second constraint. The steps are
Calculating respective objective functions for minimizing the structural cost of the composite column member and the CO 2 emissions of the building from which the attributes are determined, and determining whether the second constraint is satisfied; And
And determining a ranking and a clustering distance of the composite pillar members according to the determination result of the second constraint.
The method of claim 1, wherein forming the first population comprises:
And determining the parameters necessary for the NSGA-II algorithm using the data of the synthetic column member database to form the first population.
The method of claim 1,
If the termination condition is not satisfied, further comprising forming a new n-th population in an order of satisfying the first and second constraints, the order of the ranks being small, and the values of the cluster distances being greater. Method for designing a composite column column considering the environmental characteristics.
The method of claim 12,
The steps of claim 1 are repeated until the first condition and the second condition that satisfy the first and second constraints and the end condition with the largest cluster distance are satisfied. Design method.
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