Design method and system for stretch-bending component with circular section and storage medium

Abstract

The invention discloses a design method and system for a circular-section stretch bending component and a storage medium. The method comprises the steps that S1, a circular-section component database is established; s2, a component internal force database is established, and the axial tension and the bending moment of each component are obtained; s3, selecting the member with the minimum diameter d in the database as an initial section, and calculating the section area As of the longitudinal reinforcing steel bar corresponding to the initial section according to the bearing capacity of the normal section; and S4, sequentially comparing the cross-sectional area As of the longitudinal steel bar obtained in the step S3 with various circular cross-sectional components in a database to find the circular cross-sectional component of the corresponding model. According to the method, the optimal section type can be quickly calculated from the component size database.

Description

Technical Field

[0001] The invention belongs to the technical field of civil engineering, and in particular relates to a design method, system and storage medium for a circular cross-section tension-bending member. Background Art

[0002] Generally speaking, the reinforced concrete load-bearing components in engineering mainly adopt rectangular cross-sections, and the component design methods are relatively mature. For circular cross-section components, when the components are subjected to pressure and bending moment at the same time, the relevant design methods are also relatively mature;

[0003] However, for circular cross-section members that are subjected to tension and bending moment at the same time, the calculation of longitudinal stress reinforcement involves transcendental equations. The solution of transcendental equations cannot be carried out using algebraic geometry, and it is difficult to obtain analytical solutions. Conventional design uses enumeration methods, which have many iterations and low design efficiency. Summary of the invention

[0004] The purpose of the present invention is to overcome the defects of the prior art and provide a design method, system and storage medium for circular cross-section tension-bending members, which have few iterations, fast convergence and high calculation accuracy, and can quickly calculate the optimal cross-section type from a dimension library.

[0005] The object of the present invention is achieved through the following technical solutions:

[0006] A design method for a circular cross-section tension-bending member comprises the following steps:

[0007] Step S1, establishing a circular cross-section component database;

[0008] Step S2: Establish a component internal force database to obtain the axial tension and bending moment of each component;

[0009] Step S3, selecting a component with the smallest diameter d in the database as the initial section, and calculating the corresponding longitudinal reinforcement cross-sectional area As according to the normal section bearing capacity;

[0010] Step S4: sequentially compare the longitudinal steel bar cross-sectional area As obtained in step S3 with various circular cross-sectional components in the database to find a circular cross-sectional component of a corresponding model.

[0011] In one embodiment, step S1 includes:

[0012] Various component models that meet the construction requirements are included in the component database, and the components of various different models are sorted in order from small to large according to their diameters.

[0013] In one embodiment, step S3 includes:

[0014] Step S301: preset an initial longitudinal steel bar cross-sectional area As0 , solve the ratio α of the central angle of the concrete cross-sectional area in the compression zone corresponding to the ultimate bearing capacity of the cross section to 2π;

[0015] Step S302: Set the preset initial longitudinal steel bar cross-sectional area A s0 And its corresponding α is iteratively calculated;

[0016] Step S303: Calculate a new longitudinal steel bar cross-sectional area A based on α obtained in step S302, as well as the cross-sectional axial tension T and bending moment M. s1 ;

[0017] Step S304: Initial longitudinal steel bar cross-sectional area A s0 With A s1 For comparison, if Then A s The iteration ends, otherwise As the new initial value A s0 Repeat steps S301 to S303 to obtain the longitudinal steel bar cross-sectional area A corresponding to the diameter d. s .

[0018] In one embodiment, step S301 includes:

[0019]

[0020] Where α is the ratio of the central angle of the concrete cross-sectional area in the compression zone to 2π. When α is greater than 0.625, it is taken as 0.625. c is the design value of concrete compressive strength, A is the cross-sectional area of ​​the circular component, f y is the design value of longitudinal reinforcement strength, A s is the cross-sectional area of ​​the longitudinal reinforcement.

[0021] In one embodiment, step S302 includes:

[0022]

[0023] when When , the α iteration ends;

[0024] Among them, the initial value α0 is 0.3, and f′(α) is the first-order derivative of f(α).

[0025] In one embodiment, in step S303, the new longitudinal steel bar cross-sectional area A s1 The area is calculated as follows:

[0026] B1A s 2 +B2A s +B3=0;

[0027]

[0028]

[0029]

[0030]

[0031] Where r is the radius of the circular cross section, r s It is the radius of the circle where the center of gravity of the longitudinal reinforcement is located.

[0032] In one embodiment, step S4 includes:

[0033] The A obtained in step S304 s Compare with the cross-sectional area of ​​the longitudinal reinforcement corresponding to the diameter d in the component database;

[0034] If there is a component of the corresponding model, then the component is selected as the initial section;

[0035] If there is no component of the corresponding model, the next component in the size library is selected, its diameter d is used as the initial cross section, and step S3 is repeated until a circular cross-section component of the corresponding model is found in the database.

[0036] The present invention also provides a design system for a circular cross-section tension-bending member, comprising:

[0037] A data storage module, which is used to store various component models that meet the construction requirements and the internal force data of each component;

[0038] Automatic design module, which is used to calculate the corresponding longitudinal reinforcement cross-sectional area As according to the component diameter d and the normal section bearing capacity, so as to find the corresponding component model in the data storage module;

[0039] The results storage module is used to store the cross-sectional type, diameter, longitudinal reinforcement and intermediate calculation process data calculated for each component.

[0040] In one embodiment, it further comprises:

[0041] A visualization module, which is used to interact with the data storage module and the achievement storage module;

[0042] The data output module is used to output calculation reports and calculation result tables.

[0043] The present invention also provides a storage medium storing a computer program, which, when executed by a processor, executes the method for designing a circular cross-section tension-bending member according to any one of claims 1 to 7.

[0044] The beneficial effects of the present invention are:

[0045] For circular cross-section components that are subjected to both tension and bending moment, the optimal cross-section type can be quickly calculated from the dimension library with fewer iterations, faster convergence and higher calculation accuracy. BRIEF DESCRIPTION OF THE DRAWINGS

[0046] The present invention will be described in more detail below based on embodiments and with reference to the accompanying drawings, wherein:

[0047] Figure 1 A force diagram of a circular cross-section member of the present invention is shown;

[0048] Figure 2 A schematic flow chart of the design method of the present invention is shown;

[0049] Figure 3 A schematic diagram showing the flow of the design system of the present invention is shown;

[0050] In the drawings, like reference numerals are used for like parts. The drawings are not necessarily to scale. DETAILED DESCRIPTION

[0051] The present invention will be further described below in conjunction with the accompanying drawings.

[0052] like Figure 1 As shown in the figure, it is a schematic diagram of a circular cross-section member subjected to tension and bending moment at the same time. The shaded area is the compression area, and the other non-shaded area is the tension area. The calculation of the longitudinal force-bearing reinforcement involves transcendental equations, which are difficult to obtain analytical solutions. The enumeration method is often used for design, and a large number of iterations are required, resulting in low design efficiency.

[0053] The present invention provides a design method for a circular cross-section tension-bending member, such as Figure 2 As shown, the following steps are included:

[0054] Step S1, establishing a circular cross-section component database, including various component models that meet the construction requirements into the component database, and sorting the various different types of components in order from small to large according to their diameters;

[0055] Step S2: Establish a component internal force database to obtain the axial tension T and bending moment M of each component;

[0056] Step S3: Select the component with the smallest diameter d in the database as the initial section, and calculate the corresponding longitudinal steel bar cross-sectional area As according to the normal section bearing capacity, such as Figure 2 As shown, including:

[0057] Step S301: preset an initial longitudinal steel bar cross-sectional area A s0 , solve the ratio α of the central angle of the concrete cross-sectional area in the compression zone corresponding to the ultimate bearing capacity of the section to 2π, including:

[0058]

[0059] Where α is the ratio of the central angle of the concrete cross-sectional area in the compression zone to 2π. When α is greater than 0.625, it is taken as 0.625. c is the design value of concrete compressive strength, A is the cross-sectional area of ​​the circular component, f y is the design value of longitudinal reinforcement strength, A s is the cross-sectional area of ​​the longitudinal reinforcement;

[0060] Step S302: Set the preset initial longitudinal steel bar cross-sectional area A s0 And its corresponding α is iteratively calculated, including:

[0061]

[0062] when When , the α iteration ends;

[0063] Among them, the initial value α0 is 0.3, f′(α) is the first-order derivative of f(α);

[0064] Step S303: Calculate a new longitudinal steel bar cross-sectional area A based on α obtained in step S302, as well as the cross-sectional axial tension T and bending moment M. s1 ,include:

[0065] B1A s 2 +B2A s +B3=0 (3);

[0066]

[0067]

[0068]

[0069]

[0070] Among them, Figure 1 As shown, r is the radius of the circular cross section, r s is the radius of the circle where the center of gravity of the longitudinal reinforcement is located;

[0071] Step S304: Initial longitudinal steel bar cross-sectional area A s0 With A s1 For comparison, if Then A s The iteration ends, otherwise As the new initial value A s0 Repeat steps S301 to S303 to obtain the longitudinal steel bar cross-sectional area A corresponding to the diameter d. s ;

[0072] Step S4: sequentially comparing the longitudinal steel bar cross-sectional area As obtained in step S3 with various circular cross-sectional components in the database to find a circular cross-sectional component of a corresponding model, including:

[0073] If there is a component with a model corresponding to the longitudinal reinforcement cross-sectional area As in the database, this component is selected as the initial cross-sectional area;

[0074] If it does not exist, the next component in the size library is selected, its diameter d is used as the initial cross section, and step S3 is repeated until a circular cross-section component of the corresponding model is found in the database;

[0075] Specifically, in step S1, the various component models that meet the construction requirements include the diameter of the component, the number of longitudinal steel bars, the diameter of the longitudinal steel bars, and the material strength;

[0076] Among them, the diameter of the component is generally 0.4m to 2.6m, and the longitudinal reinforcement ratio is generally 0.3% to 1.1%;

[0077] It should be noted that, compared with the conventional enumeration design method, the design method provided in this embodiment has fewer iterations, faster convergence and higher calculation accuracy, and can quickly calculate the optimal cross-sectional type from the dimension library;

[0078] The present invention also provides a design system for a circular cross-section tension-bending member, such as Figure 3 As shown, the design method of the circular cross-section tension-bending member mentioned above includes:

[0079] A data storage module, which is used to store various component models that meet the construction requirements and the internal force data of each component;

[0080] Automatic design module, which is used to calculate the corresponding longitudinal reinforcement cross-sectional area As according to the component diameter d and the normal section bearing capacity, so as to find the corresponding component model in the data storage module;

[0081] A result storage module is used to store the cross-sectional type, diameter, longitudinal reinforcement and intermediate calculation process data of each component calculated;

[0082] A visualization module, which is used to interact with the data storage module and the achievement storage module;

[0083] The data output module is used to output calculation reports and calculation result tables.

[0084] The present invention also provides a storage medium storing a computer program, wherein when the computer program is run by a processor, the computer program executes the above-mentioned design method of a circular cross-section tension-bending member.

[0085] In the description of the present invention, it is necessary to understand that the terms "upper", "lower", "bottom", "top", "front", "back", "inside", "outside", "left", "right", etc. indicate orientations or positional relationships based on the orientations or positional relationships shown in the accompanying drawings, and are only for the convenience of describing the present invention and simplifying the description, rather than indicating or implying that the device or element referred to must have a specific orientation, be constructed and operated in a specific orientation, and therefore cannot be understood as a limitation on the present invention.

[0086] Although the present invention is described herein with reference to specific embodiments, it should be understood that these embodiments are merely examples of the principles and applications of the present invention. It should therefore be understood that many modifications may be made to the exemplary embodiments and that other arrangements may be devised without departing from the spirit and scope of the present invention as defined by the appended claims. It should be understood that the various dependent claims and features described herein may be combined in a manner different from that described in the original claims. It should also be understood that features described in conjunction with individual embodiments may be used in other described embodiments.

Claims

1. A design method for a circular cross-section tension-bending member, characterized in that: The steps include: Step S1, establishing a circular cross-section component database; Step S2: Establish a component internal force database to obtain the axial tension and bending moment of each component; Step S3: Select the component with the smallest diameter d in the database as the initial section, and calculate the corresponding longitudinal steel bar cross-sectional area A according to the normal section bearing capacity. s ; Step S4: according to the longitudinal steel bar cross-sectional area A obtained in step S3 s Compare with various circular cross-section components in the database in sequence to find the circular cross-section component of the corresponding model.

2. A design method for a circular cross-section tension-bending member according to claim 1, characterized in that: In step S1, it includes: Various component models that meet the construction requirements are included in the component database, and the components of various different models are sorted in order from small to large according to their diameters.

3. The design method of a circular cross-section tension-bending member according to claim 1, characterized in that: Step S3 includes: Step S301: preset an initial longitudinal steel bar cross-sectional area A s0 , solve the ratio α of the central angle of the concrete cross-sectional area in the compression zone corresponding to the ultimate bearing capacity of the cross section to 2π; Step S302: Set the preset initial longitudinal steel bar cross-sectional area A s0 And its corresponding α is iteratively calculated; Step S303: Calculate a new longitudinal steel bar cross-sectional area A based on α obtained in step S302, as well as the cross-sectional axial tension T and bending moment M. s1 ; Step S304: Initial longitudinal steel bar cross-sectional area A s0 With A s1 For comparison, if Then A s The iteration ends, otherwise As the new initial value A s0 Repeat steps S301 to S303 to obtain the longitudinal steel bar cross-sectional area A corresponding to the diameter d. s .

4. The design method of a circular cross-section tension-bending member according to claim 3, characterized in that: Step S301 includes: Where α is the ratio of the central angle of the concrete cross-sectional area in the compression zone to 2π. When α is greater than 0.625, it is taken as 0.

625. c is the design value of concrete compressive strength, A is the cross-sectional area of ​​the circular component, f y is the design value of longitudinal reinforcement strength, A s is the cross-sectional area of ​​the longitudinal reinforcement.

5. The design method of a circular cross-section tension-bending member according to claim 4, characterized in that: Step S302 includes: when When , the α iteration ends; Among them, the initial value α0 is 0.3, and f′(α) is the first-order derivative of f(α).

6. A design method for a circular cross-section tension-bending member according to claim 5, characterized in that: In step S303, the new longitudinal steel bar cross-sectional area A s1 The area is calculated as follows: <h2 style=";text-align:left;direction:ltr">B1A<h2 style=";text-align:left;direction:ltr"> s <h2 style=";text-align:left;direction:ltr"> 2 <h2 style=";text-align:left;direction:ltr"> +B2A<h2 style=";text-align:left;direction:ltr"> s <h2 style=";text-align:left;direction:ltr"> +B3=0; Where r is the radius of the circular cross section, r s It is the radius of the circle where the center of gravity of the longitudinal reinforcement is located.

7. The design method of a circular cross-section tension-bending member according to claim 2, characterized in that: Step S4 includes: The A obtained in step S304 s Compare with the cross-sectional area of ​​the longitudinal reinforcement corresponding to the diameter d in the component database; If there is a component of the corresponding model, then the component is selected as the initial section; If there is no component of the corresponding model, the next component in the size library is selected, its diameter d is used as the initial cross section, and step S3 is repeated until a circular cross-section component of the corresponding model is found in the database.

8. A design system for a circular cross-section tension-bending member, using the design method for a circular cross-section tension-bending member according to any one of claims 1 to 7, characterized in that: include: A data storage module, which is used to store various component models that meet the construction requirements and the internal force data of each component; Automatic design module, which is used to calculate the corresponding longitudinal reinforcement cross-sectional area A according to the component diameter d and the normal cross-sectional bearing capacity s . To find the corresponding component model in the data storage module; The results storage module is used to store the cross-sectional type, diameter, longitudinal reinforcement and intermediate calculation process data calculated for each component.

9. A design system for a circular cross-section tension-bending member according to claim 8, characterized in that: Also includes: A visualization module, which is used to interact with the data storage module and the achievement storage module; The data output module is used to output calculation reports and calculation result tables.

10. A storage medium, characterized in that: The device stores a computer program, which, when executed by a processor, executes the method for designing a circular cross-section tension-bending member according to any one of claims 1 to 7.

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