Method for realizing strong shear and weak bending of coupling beam under medium and large earthquake action
By calculating the shear and bending utilization rates of the coupling beam section, and using formulas to determine whether the coupling beam meets the strong shear and weak bending design, the problem of difficulty in evaluating the seismic performance of coupling beams in the existing technology is solved, and the safe design of coupling beams under moderate and major earthquakes is realized.
Patent Information
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- SHENZHEN PORTO LANSEN INT ARCHITECTURAL DESIGN CO LTD
- Filing Date
- 2022-09-01
- Publication Date
- 2026-04-24
AI Technical Summary
There is a lack of convenient methods in the existing technology to determine whether the coupling beam meets the strong shear and weak bending seismic resistance requirements under moderate and major earthquakes, especially to avoid shear failure under major earthquakes.
By calculating the shear utilization rate and bending utilization rate of the coupling beam section, formulas (1) to (15) are used to determine whether the coupling beam section meets the strong shear and weak bending design requirements. The coupling beam section parameters are adjusted through the data acquisition module, preset module and calculation module to meet the design requirements.
The quantitative evaluation of the coupling beam section was realized, ensuring that it can yield in bending first and then in shear under moderate and major earthquakes, avoiding shear failure and meeting the seismic performance design of strong shear and weak bending.
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Figure CN115481472B_ABST
Abstract
Description
Technical Field
[0001] This invention relates to the field of building structures, specifically to a method for achieving strong shear and weak bending in coupling beams under moderate and major earthquakes. This method can be used as a design method for strong shear and weak bending in coupling beams, and also as a method for verifying the seismic performance of coupling beams under moderate and major earthquakes. This method can avoid shear failure in coupling beams, better and more effectively utilize the ductile energy dissipation function, and realize the ductile design of seismic energy dissipation components. Background Technology
[0002] In recent years, the Earth's crust has been in an active period, with earthquakes exceeding magnitude 7 occurring frequently. Seismic action remains a crucial and indispensable factor in the safety design of high-rise and super high-rise structures. With economic and social development and the continuous improvement of seismic design standards, my country's seismic design methods and structural measures for building structures have been continuously improved and strengthened. my country's "Code for Seismic Design of Buildings" (GB 50011-2010, 2016 edition) (hereinafter referred to as "Seismic Code") and "Technical Specification for Concrete Structures of High-Rise Buildings" (JCJ3-2010) (hereinafter referred to as "High-Rise Code") adopt "no damage in minor earthquakes, repairable in moderate earthquakes, and no collapse in major earthquakes" as the design standard. Seismic design has gradually transitioned from methods based on bearing capacity or strength to more advanced performance-based seismic design methods. It has progressed from early static methods and minor earthquake design combined with ductile structural measures to directly calculating the stress and deformation of structures based on major earthquakes, including design methods that utilize the energy dissipation capacity of components. Therefore, seismic design requires structural systems to possess necessary seismic bearing capacity, good deformation capacity, and the ability to dissipate seismic energy. The structure should have multiple seismic defense lines.
[0003] For high-rise or super high-rise building structures, coupling beams are the main components forming the core tube or shear wall of a super high-rise building. They are not only key components for maintaining the wall as a whole, but also the first energy dissipation component in the coupled wall. Therefore, the seismic performance of coupling beams directly affects the seismic performance of the overall structure. The design of ductile energy dissipation components follows the design principle of the R-μ-T relationship, that is, meeting the requirements of high load-bearing capacity and low ductility or low load-bearing capacity and high ductility. For brittle failure, it is usually avoided by load-bearing capacity. Therefore, to play an energy dissipation role through ductility and avoid brittle shear failure, the design of coupling beams needs to meet the seismic requirements of strong shear and weak bending. Current standards use shear amplification factors to assume that coupling beams meet the seismic design requirement of strong shear and weak bending for different seismic resistance levels. However, in practice, the shear amplification factor, which is taken from the design moment value in the overall model, fails to reflect the excessive bending moment of the coupling beam and may not meet the intended strong shear and weak bending requirements. Therefore, to achieve the strong shear and weak bending seismic requirements of coupling beams, especially to avoid shear failure under major earthquakes, a simple and intuitive quantitative method is needed to design or verify the strong shear and weak bending seismic target of coupling beams under moderate and major earthquakes. This quantitative method can, of course, also be implemented automatically by software.
[0004] In summary, there is currently a lack of convenient methods to determine whether the cross-section of a coupling beam meets the requirements of strong shear and weak bending in the design of coupling beams. Therefore, the existing technology still has shortcomings and needs to be improved and developed. Summary of the Invention
[0005] This invention provides a method for achieving strong shear and weak bending in coupling beams, thereby at least solving the technical problem in the prior art that it is not easy to determine whether a coupling beam meets the requirements of strong shear and weak bending, so as to effectively design a building structure with a good energy dissipation mechanism.
[0006] According to an embodiment of the present invention, a method for achieving strong shear and weak bending in a coupling beam under moderate to severe earthquakes is provided, comprising the following steps:
[0007] Based on the design program, the design values of bending moment and shear force of the coupling beam section are obtained, as well as the bending moment yield value and shear force yield value of the actual longitudinal reinforcement of the coupling beam section.
[0008] Subtracting the shear force under the representative value of gravity load from the shear force design value yields the shear force value under horizontal load only.
[0009] Subtracting the shear force under the representative value of gravity load from the shear yield value yields the shear yield value under horizontal load only.
[0010] Under horizontal loads only, the shear force value is divided by the shear yield value to obtain the shear utilization rate of the section.
[0011] Dividing the design bending moment by the yield bending moment yields the bending utilization rate of the section.
[0012] When the shear utilization rate of the coupling beam section is less than or equal to the bending utilization rate of the coupling beam section, the result that the coupling beam section meets the strong shear and weak bending design requirements is output; if the shear utilization rate is less than or equal to 1, the result that the coupling beam section meets the shear non-yielding requirement is further output.
[0013] A method for achieving strong shear and weak bending in a coupling beam, wherein the shear utilization rate is:
[0014]
[0015] in, V represents the shear utilization rate of the coupling beam section, and V is the design value of the shear force at the beam end of the coupling beam. Gb The shear force at the cross section of the coupling beam is calculated as a simply supported beam under the representative value of gravity load. This represents the shear yield value of the coupling beam section.
[0016] A method for achieving strong shear and weak bending in a coupling beam, wherein the bending resistance utilization rate is:
[0017]
[0018] Among them, M l M represents the bending moment at the left section of the coupling beam. r The bending moment value is the value at the right section of the coupling beam; the yield moment value includes the yield moment values at the left and right sections. The bending moment yield value of the left section of the actual reinforcement of the coupling beam. δ represents the yield moment of the right section of the coupling beam with actual reinforcement. M To improve the utilization rate of bending resistance.
[0019] The method for achieving strong shear and weak bending in a coupling beam, wherein under horizontal load only, the shear force of the coupling beam is linearly related to the sum of the bending moments at both ends of the section, specifically as follows:
[0020]
[0021]
[0022] Among them, l n For the clear span of the connecting beam, The bending moment yield value of the actual longitudinal reinforcement in the coupling beam section corresponds to the required shear force of the section.
[0023] A method for achieving strong shear and weak bending in a coupling beam, wherein the shear utilization rate of the coupling beam section is obtained based on the section capacity.
[0024] The method for achieving strong shear and weak bending in coupling beams involves deriving the required shear utilization rate of the beam section from its bending utilization rate. Specifically:
[0025] The required shear utilization rate is:
[0026]
[0027] The required value for shear utilization rate is:
[0028]
[0029] in, δ represents the required shear utilization rate of the coupling beam section. M To improve the utilization rate of bending resistance.
[0030] The method for achieving strong shear and weak bending in coupling beams involves using symmetrical reinforcement at both ends. When the bending moment value at the left section of the coupling beam equals the bending moment value at the right section, and the yield strength of the bending moment at the left section of the actual reinforcement equals the yield strength of the bending moment at the right section, the bending utilization rate can be simplified as follows:
[0031]
[0032] A design system for a coupling beam with strong shear and weak bending, comprising:
[0033] The data acquisition module is used to obtain the bending moment and yield value of the actual reinforcement at the beam ends of the coupling beam section, the shear design value of the coupling beam section, and the clear span of the coupling beam.
[0034] The preset module allows you to obtain the actual shear yield value of the preset coupling beam section by adjusting the shear stirrups, diagonal bars, steel plates, or structural steel sections.
[0035] The calculation module is used to calculate the shear utilization rate and bending utilization rate of the coupling beam section;
[0036] The judgment module determines whether the shear utilization rate of the coupling beam section is less than or equal to the bending utilization rate of the coupling beam section, and whether the coupling beam section meets the strong shear and weak bending design requirements.
[0037] The design system for coupling beams with strong shear and weak bending includes a judgment module that further determines the following: when the shear utilization rate of the coupling beam section is greater than the bending utilization rate, the coupling beam needs to be redesigned according to the requirement that the shear utilization rate is not greater than the bending utilization rate. If necessary, additional steel sections or plates need to be added to determine the new shear yield value of the section and re-verify it. This process is iterated continuously until the requirement is met. If the shear utilization rate is less than or equal to 1, it can be further indicated that the coupling beam is in a state of shear non-yielding.
[0038] A computer device includes a memory and a processor, the memory storing a computer program, wherein the processor executes the computer program to implement the steps of any of the methods described above.
[0039] A computer-readable storage medium having a computer program stored thereon, wherein the computer program, when executed by a processor, implements the steps of any of the methods described above.
[0040] The method for implementing strong shear and weak bending in coupling beams according to this invention involves calculating the bending utilization rate of the coupling beam section based on the obtained bending moment and yield value of the actual reinforcement in the coupling beam section. The method then determines whether the coupling beam section meets the requirements of strong shear and weak bending based on the shear utilization rate and the bending utilization rate. If the shear utilization rate of the coupling beam section is less than or equal to the bending utilization rate, then the coupling beam section meets the design requirements of strong shear and weak bending; otherwise, the coupling beam needs to be redesigned according to the principle that the shear utilization rate should not be greater than the bending utilization rate, and additional steel sections or plates may be necessary. Coupling beams designed according to the controlled shear utilization rate can meet the seismic requirements of strong shear and weak bending. Attached Figure Description
[0041] The accompanying drawings, which are included to provide a further understanding of the invention and form part of this application, illustrate exemplary embodiments of the invention and, together with their description, serve to explain the invention and do not constitute an undue limitation thereof. In the drawings:
[0042] Figure 1This is a flowchart illustrating the method for achieving strong shear and weak bending in a coupling beam according to the present invention.
[0043] Figure 2 This is a block diagram of the design system for the strong shear and weak bending coupling beam of the present invention;
[0044] Figure 3 This is a distribution curve of the yield ratio of a coupling beam according to an embodiment of the present invention. Detailed Implementation
[0045] To enable those skilled in the art to better understand the present invention, the technical solutions of the present invention will be clearly and completely described below with reference to the accompanying drawings of the embodiments of the present invention. Obviously, the described embodiments are only some embodiments of the present invention, and not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative effort should fall within the scope of protection of the present invention.
[0046] It should be noted that the terms "first," "second," etc., in the specification, claims, and accompanying drawings of this invention are used to distinguish similar objects and are not necessarily used to describe a specific order or sequence. It should be understood that such data can be interchanged where appropriate so that the embodiments of the invention described herein can be implemented in orders other than those illustrated or described herein. Furthermore, the terms "comprising" and "having," and any variations thereof, are intended to cover a non-exclusive inclusion; for example, a process, method, system, product, or apparatus that comprises a series of steps or units is not necessarily limited to those steps or units explicitly listed, but may include other steps or units not explicitly listed or inherent to such processes, methods, products, or apparatus.
[0047] Coupling beams are crucial energy-dissipating components in super high-rise structures. Therefore, their design prioritizes bending yielding followed by shear yielding to meet the seismic design requirements of strong shear and weak bending, especially to avoid shear failure under severe earthquakes. To achieve this, the shear and bending utilization rates of the coupling beam section can be calculated using the method described in this invention. These rates are then used to determine whether the coupling beam meets the requirements.
[0048] According to an embodiment of the present invention, a method for achieving strong shear and weak bending in a coupling beam is provided, see [link to relevant documentation]. Figure 1 In essence, this is a process of performance design for coupling beams. It can also be implemented through software calculations, outputting whether the requirements of strong shear and weak bending are met, thereby achieving performance-based design of the coupling beam. The specific implementation method of this invention includes the following steps:
[0049] S100: Based on the design program, the bending moment design value and shear force design value of the coupling beam section are obtained, as well as the bending moment yield value and shear force yield value of the actual longitudinal reinforcement of the coupling beam section.
[0050] S200: Subtract the shear force under the representative value of gravity load from the shear force design value to obtain the shear force value under horizontal load only;
[0051] S300: Subtract the shear force under the representative value of gravity load from the shear yield value to obtain the shear yield value under horizontal load only;
[0052] S400: Under horizontal load only, the shear strength utilization rate of the section is obtained by dividing the shear force value by the shear yield value; the bending moment utilization rate of the section is obtained by dividing the bending moment design value by the bending moment yield value.
[0053] S500: When the shear utilization rate of the coupling beam section is less than or equal to the bending utilization rate of the coupling beam section, the output result shows that the coupling beam section meets the design requirements of strong shear and weak bending.
[0054] Specifically, given the clear span dimensions and cross-sectional information of the coupling beam, the design values of bending moment and shear force at both ends of the coupling beam cross-section are obtained; the bending moment yield value of the actual longitudinal reinforcement at both ends of the coupling beam cross-section is obtained; and the shear force yield value under the representative value of gravity load is subtracted from the shear force yield value of the actual stirrups in the coupling beam cross-section to obtain the shear force yield value under horizontal load only.
[0055] The shear force value of the coupling beam under the horizontal load in step S200 is divided by the shear yield value obtained in step S300. The result is the shear utilization rate of the coupling beam section; and the bending utilization rate can be obtained by dividing the sum of the design values of the bending moments at both ends of the coupling beam in step S100 by the sum of the yield values of the bending moments at both ends of the coupling beam.
[0056] When the shear utilization rate of the coupling beam section is less than or equal to the bending utilization rate, the coupling beam section meets the design requirements of strong shear and weak bending.
[0057] This invention starts from the capacity and requirements of the coupling beam section, establishing a relationship between shear resistance requirements and the flexural bearing capacity of the section. It then intuitively characterizes the seismic performance requirements of the coupling beam member under strong shear and weak bending conditions by using the equivalent numerical values of the section's shear and bending capacities. When the shear utilization rate of the coupling beam section is not greater than the bending utilization rate, the coupling beam section can meet the strong shear and weak bending design requirements.
[0058] In this embodiment, after step S500, the method further includes:
[0059] S600: When the shear utilization rate of the coupling beam section is greater than the bending utilization rate, the coupling beam section does not meet the requirement of strong shear and weak bending.
[0060] Specifically, the coupling beam needs to be redesigned so that the shear utilization rate is not greater than the bending utilization rate. If necessary, additional steel sections or plates need to be added, the new shear yield value of the section needs to be determined and re-verified until the designed coupling beam meets the requirements of strong shear and weak bending.
[0061] If the shear utilization rate is less than or equal to 1, then the result that the coupling beam section satisfies the shear non-yielding condition can be further output.
[0062] In the embodiment, the coupling beam is designed to yield in bending first and then in shear, which naturally requires meeting the condition of strong shear and weak bending. In particular, under moderate or major earthquakes, the coupling beam must meet the seismic performance of shear resistance without yielding. From the perspective of the relationship between capacity and demand, the actual shear yield value of the coupling beam section should be greater than the required shear resistance of the section, that is, satisfying equation (1).
[0063]
[0064] in, This represents the shear yield strength of the coupling beam section. This refers to the required shear resistance of the coupling beam section.
[0065] Based on the seismic requirement that coupling beams resist shear without yielding, the formula for calculating the shear force of the coupling beam section is as follows:
[0066]
[0067] The shear force calculation formula for the coupling beam section is transformed into equation (3):
[0068]
[0069] In formula (3), the numerator of the right-hand side represents the bending moments at both ends of the coupling beam under horizontal load, and the left-hand side represents the shear force borne by the coupling beam under horizontal load only. Gb With M l +M r A linear relationship exists; V Gb M represents the shear force at the beam end section of a coupling beam calculated as a simply supported beam under representative gravity load. l M represents the bending moment at the left section of the coupling beam. r The bending moment at the right section of the coupling beam is given by , where V represents the design shear force at the beam end of the coupling beam, and l is the bending moment value at the right section of the coupling beam. n This is the clear span of the connecting beam.
[0070] Based on the fact that the actual shear yield value of the coupling beam section is greater than or equal to the required shear resistance, and combining formulas (1) and (3), the following formula is obtained:
[0071]
[0072] Specifically, the formulas for calculating the shear utilization rate and the shear utilization rate requirement are as follows:
[0073]
[0074]
[0075] Based on the fact that the actual shear yield value is greater than or equal to the required shear force, and combining with formula (1), we obtain the following formula:
[0076]
[0077] Furthermore, a numerical correspondence between the required shear utilization rate and the bending utilization rate is established. The following is a detailed explanation of the bending utilization rate.
[0078] Step 1: Obtain the bending moment yield value, the bending moment value of the left section of the coupling beam, and the bending moment value of the right section of the coupling beam. The bending moment yield value includes the bending moment yield value of the left section of the actual reinforcement of the coupling beam and the bending moment yield value of the right section of the actual reinforcement of the coupling beam.
[0079] Step 2: Calculate the required shear strength of the coupling beam section based on the bending moment yield value.
[0080] The required shear strength of the coupling beam section can be determined by calculating the bending moment yield value obtained from the actual longitudinal reinforcement. The formula for the required shear strength is:
[0081]
[0082] Based on formula (3), the shear force at the beam end section of the connecting beam calculated as a simply supported beam under the action of the representative value of gravity load is subtracted from the required shear force to obtain formula (8).
[0083]
[0084] Step 3: Combine formulas (3), (6), and (8) to obtain the formula for the shear utilization rate requirement:
[0085]
[0086] The right side of equation (10) expresses the bending utilization rate of the coupling beam section. Therefore, it can be seen that the shear utilization rate requirement is equal to the bending utilization rate of the coupling beam section, and the bending utilization rate can be written as:
[0087]
[0088] Among them, M l M represents the bending moment at the left section of the coupling beam. r The bending moment value at the right section of the coupling beam is given. The bending moment yield value of the left section of the actual reinforcement of the coupling beam. This represents the yield moment value of the right section of the actual reinforcement in the coupling beam. δ represents the required shear force utilization rate of the coupling beam section. MTo improve the utilization rate of bending resistance.
[0089] In the embodiment, when the bending moment value of the left section of the coupling beam is the same as the bending moment value of the right section of the coupling beam, and the yield value of the left bending moment of the actual reinforcement of the coupling beam is equal to the yield value of the right bending moment of the actual reinforcement of the coupling beam, then M can be obtained. l =M r , Formula (11) can be simplified to:
[0090]
[0091] Based on the above calculations, the strong shear and weak bending properties of the coupling beam section can be quantified according to different parameters and formulas, so as to quickly and easily determine whether the coupling beam section can truly achieve the seismic design requirements of strong shear and weak bending.
[0092] The first method to determine whether the cross-section of a coupling beam meets the requirements of strong shear and weak bending:
[0093] In the embodiment, based on the fact that the shear utilization rate is less than or equal to the bending utilization rate, formula (13) can be obtained:
[0094]
[0095] in, δ represents the shear utilization rate of the coupling beam section. M The bending utilization rate of the coupling beam section is given by equation (10); the right side of equation (10) is the bending utilization rate of the coupling beam section, i.e. equal to δ M Therefore,
[0096] If the cross-section of the coupling beam satisfies formula (13), then the cross-section of the coupling beam meets the design requirements of strong shear and weak bending. Otherwise, the coupling beam needs to be redesigned according to the requirement that the shear utilization rate is not greater than the bending utilization rate, the new shear yield value of the cross-section needs to be determined and re-verified until the designed coupling beam meets the requirements of strong shear and weak bending.
[0097] The second method to determine whether the cross-section of the coupling beam meets the strong shear and weak bending requirements:
[0098] In the embodiment, in addition to formula (13), formula (14) or formula (15) can also be used to determine whether the cross section of the coupling beam meets the requirements of strong shear and weak bending.
[0099] Specifically, based on the fact that the actual shear capacity of the coupling beam section in formula (1) is greater than or equal to the required shear force of the coupling beam section, the shear utilization rate of the coupling beam section has been calculated in formula (5). The bending utilization rate of the coupling beam section has been obtained in formula (11). Combined with formula (13) Therefore, use Replace the shear utilization rate of the coupling beam section, using The bending utilization rate of the replacement coupling beam section can be obtained from this formula:
[0100]
[0101] Where V represents the design value of the shear force at the beam end of the coupling beam, V Gb This represents the shear force at the beam end section of a simply supported beam under representative gravity load. M represents the actual shear capacity of the coupling beam section; l M represents the bending moment at the left section of the coupling beam. r The bending moment value at the right section of the coupling beam is given. The bending moment yield value of the left section of the actual reinforcement of the coupling beam. The yield value of the bending moment of the right section of the actual reinforcement of the coupling beam is given. In the actual design or testing process of existing technology, the above data are common and known, and it is not difficult to obtain or calculate them.
[0102] According to V, V Gb , M l M r , and The calculation results are such that when the calculation results satisfy formula (14), the coupling beam section meets the strong shear and weak bending design requirements. Otherwise, the coupling beam needs to be redesigned according to the required shear utilization rate, the new shear yield value of the section needs to be determined and re-verified until the designed coupling beam meets the strong shear and weak bending requirements. The third way to judge whether the coupling beam section meets the strong shear and weak bending requirements is:
[0103] Specifically, the shear utilization rate of the coupling beam section has been calculated in the above formula (5). Furthermore, when the bending moment value of the left section of the coupling beam is equal to the bending moment value of the right section of the coupling beam, and the yield strength of the bending moment of the left section of the actual reinforcement of the coupling beam is equal to the yield strength of the bending moment of the right section of the actual reinforcement of the coupling beam, then M can be obtained. l =M r , At this point, it can be used replace Therefore, the formula can be obtained:
[0104]
[0105] Where V represents the design value of the shear force at the beam end of the coupling beam, V Gb This refers to the shear force at the beam end section of the coupling beam under gravity. M represents the actual shear capacity of the coupling beam section; M is the bending moment value. mua This represents the bending moment yield value of the actual reinforcement in the coupling beam.
[0106] According to V, VGb , M and M mua The calculation results are such that when the calculation results satisfy formula (15), the coupling beam section meets the strong shear and weak bending design requirements. Otherwise, the coupling beam needs to be redesigned according to the required shear utilization rate. If necessary, additional steel sections or steel plates need to be added, the new shear yield value of the section needs to be determined and re-verified until the designed coupling beam meets the strong shear and weak bending requirements.
[0107] According to formula (13), the strong shear and weak bending of the coupling beam can be easily quantified, so as to quickly and easily determine whether the cross section of the coupling beam truly achieves the seismic design requirements of strong shear and weak bending.
[0108] Furthermore, depending on the different data conditions, another expression of the shear capacity formula can be selected to determine whether the coupling beam section meets the strong shear and weak bending design requirements through formula conversion, including formula (14) and formula (15). Using different formulas for judgment is based on different parameters obtained or calculated. When designing coupling beams, appropriate formulas can be flexibly selected to determine whether the coupling beam section meets the design requirements.
[0109] The parameters in the calculation formula can be used to calculate the shear capacity of the coupling beam section based on the actual reinforcement or steel plate. The bending moment yield value M of the actual reinforcement in the coupling beam section mua Specific calculation methods can be found in different design codes: for ordinary coupling beams, refer to the code for high-rise concrete structures; for steel-reinforced coupling beams, refer to the code for design of steel-reinforced concrete structures; for steel plate concrete coupling beams, refer to the code for design of steel-concrete composite structures in high-rise buildings.
[0110] The following examples of specific experiments illustrate the design method of strong shear and weak bending for coupling beam sections;
[0111] First, the shear force, bending moment, and yield strength of the coupling beam under moderate earthquake conditions are converted. The converted internal forces are then divided by the corresponding yield strength to obtain the shear utilization rate and bending utilization rate. Comparing these two values determines the strong shear and weak bending stress state of the coupling beam. The changes in the shear utilization rate and bending utilization rate ratio of the coupling beam along its height under moderate earthquake conditions are shown below. Figure 3 .from Figure 3 As can be seen, after adding steel sections to the connecting beams, the shear utilization rate of the connecting beams, except for the 5th floor and the 57th-58th floors, is close to 1, basically achieving the performance target of shear resistance of the connecting beams. Figure 3 The connecting beams in the middle section of the building exhibited bending yielding, i.e. Figure 3 The flexural strength utilization value is greater than 1 for the 4th, 5th, and 42nd to 62nd floors. Figure 3 The shear utilization rate of all the connecting beams shown is less than the bending utilization rate, indicating that the seismic design requirements of strong shear and weak bending of the connecting beams can be achieved by using steel sections inside the connecting beams and following the aforementioned formula (13).
[0112] According to another embodiment of the present invention, a design system for a coupling beam with strong shear and weak bending is provided, see [link to documentation]. Figure 2 ,include:
[0113] The data acquisition module 100 is used to acquire the bending moment and yield value of the actual reinforcement at the beam end of the coupling beam section, the shear force design value of the coupling beam section, and the clear span of the coupling beam.
[0114] The preset module 200 is used to obtain the actual shear yield value of the preset coupling beam section by adjusting the shear stirrups, diagonal bars, steel plates or structural steel sections of the coupling beam section;
[0115] Calculation module 300 is used to calculate the shear utilization rate and bending utilization rate of the coupling beam section;
[0116] Module 400 determines whether the shear utilization rate of the coupling beam section is less than or equal to the bending utilization rate. If so, it outputs that the coupling beam section meets the strong shear and weak bending design requirements.
[0117] The judgment module further determines: when the shear utilization rate of the coupling beam section is greater than the bending utilization rate, the coupling beam needs to be redesigned according to the requirement that the shear utilization rate is not greater than the bending utilization rate. If necessary, additional steel sections or plates need to be added, the new shear yield value of the section needs to be determined and re-verified, and this process should be iterated continuously to ensure that it meets the requirement. If the shear utilization rate is less than or equal to 1, it can further indicate that the coupling beam is in a shear non-yielding state. Based on the comparison between the shear utilization rate and the bending utilization rate, it is determined whether the coupling beam section meets the requirement of strong shear and weak bending. The requirement of strong shear and weak bending is that the coupling beam meets the design requirement of yielding in bending first and then yielding in shear.
[0118] Based on the obtained bending moment and yield value of the reinforcement in the coupling beam section, the flexural utilization rate of the coupling beam section is calculated. The shear utilization rate and flexural utilization rate are used to determine whether the coupling beam section meets the requirements of strong shear and weak bending. When the shear utilization rate of the coupling beam section is less than or equal to the flexural utilization rate, the shear capacity of the coupling beam section meets the design requirements of strong shear and weak bending. Otherwise, the coupling beam needs to be redesigned with the shear utilization rate not exceeding the flexural utilization rate, and additional steel sections or plates may be necessary. In summary, coupling beams designed by controlling the shear utilization rate can meet the seismic requirements of strong shear and weak bending. Furthermore, if the shear utilization rate is less than or equal to 1, it may further indicate that the coupling beam is in a state of shear non-yielding.
[0119] Based on the above-described method for implementing strong shear and weak bending in a coupling beam, the present invention also provides an embodiment of a computer device.
[0120] The computer device of the present invention includes a memory and a processor. The memory stores a computer program, and the processor executes the computer program to perform the following steps:
[0121] S100: Based on the design program, the design values of bending moment and shear force of the coupling beam section are obtained, as well as the bending moment yield value and shear force yield value of the actual longitudinal reinforcement of the coupling beam section.
[0122] S200: Subtract the shear force under the representative value of gravity load from the shear force design value to obtain the shear force value under horizontal load only;
[0123] S300: Subtract the shear force under the representative value of gravity load from the shear yield value to obtain the shear yield value under horizontal load only;
[0124] S400: Under horizontal load only, the shear strength utilization rate of the section is obtained by dividing the shear force value by the shear yield value; the bending moment utilization rate of the section is obtained by dividing the bending moment design value by the bending moment yield value.
[0125] S500: When the shear utilization rate of the coupling beam section is less than or equal to the bending utilization rate of the coupling beam section, the output result shows that the coupling beam section meets the design requirements of strong shear and weak bending.
[0126] S600: When the shear utilization rate of the coupling beam section is greater than the bending utilization rate of the coupling beam section, the coupling beam needs to be redesigned according to the requirement that the shear utilization rate is not greater than the bending utilization rate. If necessary, steel sections or steel plates need to be added, the new shear yield value of the section needs to be determined and re-verified, and the process needs to be iterated continuously to ensure that it meets the requirements.
[0127] If the shear utilization rate is less than or equal to 1, then the result that the coupling beam section meets the shear resistance and does not yield can be further output.
[0128] Based on the above-described method for implementing strong shear and weak bending in a coupling beam, the present invention also provides an embodiment of a computer-readable storage medium.
[0129] The computer-readable storage medium of the present invention stores a computer program thereon, which, when executed by a processor, performs the following steps:
[0130] S100: Based on the design program, the design values of bending moment and shear force of the coupling beam section are obtained, as well as the bending moment yield value and shear force yield value of the actual longitudinal reinforcement of the coupling beam section.
[0131] S200: Subtract the shear force under the representative value of gravity load from the shear force design value to obtain the shear force value under horizontal load only;
[0132] S300: Subtract the shear force under the representative value of gravity load from the shear yield value to obtain the shear yield value under horizontal load only;
[0133] S400: Under horizontal load only, the shear strength utilization rate of the section is obtained by dividing the shear force value by the shear yield value; the bending moment utilization rate of the section is obtained by dividing the bending moment design value by the bending moment yield value.
[0134] S500: When the shear utilization rate of the coupling beam section is less than or equal to the bending utilization rate of the coupling beam section, the output result shows that the coupling beam section meets the design requirements of strong shear and weak bending.
[0135] S600: When the shear utilization rate of the coupling beam section is greater than the bending utilization rate of the coupling beam section, the coupling beam needs to be redesigned according to the requirement that the shear utilization rate is not greater than the bending utilization rate. If necessary, steel sections or steel plates need to be added, the new shear yield value of the section needs to be determined and re-verified, and the process needs to be iterated continuously to ensure that it meets the requirements.
[0136] If the shear utilization rate is less than or equal to 1, then the result that the coupling beam section meets the shear resistance and does not yield can be further output.
[0137] The above description is only a preferred embodiment of the present invention. It should be noted that for those skilled in the art, several improvements and modifications can be made without departing from the principle of the present invention, and these improvements and modifications should also be considered within the scope of protection of the present invention.
Claims
1. A method for achieving strong shear and weak bending in a coupling beam under moderate to major earthquakes, characterized in that, Includes the following steps: Based on the design program, the design values of bending moment and shear force of the coupling beam section are obtained, as well as the bending moment yield value and shear force yield value of the actual reinforcement of the coupling beam section. Subtracting the shear force under the representative value of gravity load from the shear force design value yields the shear force value under horizontal load only. Subtracting the shear force under the representative value of gravity load from the shear force yield value yields the shear force yield value under horizontal load only. Under horizontal load only, the shear force value is divided by the shear yield value to obtain the shear utilization rate of the section; Dividing the design bending moment by the yield bending moment yields the bending utilization rate of the section. When the shear utilization rate of the coupling beam section is less than or equal to the bending utilization rate of the coupling beam section, the result that the coupling beam section meets the strong shear and weak bending design requirements is output; if the shear utilization rate is less than or equal to 1, the result that the coupling beam section meets the shear non-yielding requirement is further output. The shear utilization rate is: in, The shear utilization rate of the connecting beam section is... This represents the design value of the beam end shear force of the coupling beam. The shear force at the cross section of the coupling beam, calculated as a simply supported beam under representative gravity load, is given. The shear yield value of the cross section of the coupling beam; The bending resistance utilization rate is: in, The bending moment value at the left section of the connecting beam is [value missing]. The bending moment value is the value of the right section of the connecting beam; the bending moment yield value includes the bending moment yield value of the left section and the bending moment yield value of the right section. The bending moment yield value of the left section of the actual reinforcement of the coupling beam. The bending moment yield value of the right section of the actual reinforcement of the coupling beam. To improve the utilization rate of bending resistance.
2. The method for achieving strong shear and weak bending in a coupling beam according to claim 1, characterized in that, Under horizontal loads only, the shear force of the coupling beam is linearly related to the sum of the bending moments at both ends of the section, specifically: in, For the clear span of the connecting beam, The bending moment yield value of the actual reinforcement in the coupling beam section corresponds to the required shear force of the section.
3. The method for achieving strong shear and weak bending in a coupling beam according to claim 2, characterized in that, The shear utilization rate of the coupling beam section is obtained based on the section capacity.
4. The method for achieving strong shear and weak bending in a coupling beam according to claim 3, characterized in that, The required value of the shear utilization rate of the coupling beam section can be calculated based on the bending utilization rate of the section, specifically: The required value for shear utilization rate is: The required value for shear utilization rate is: in, This represents the required value for the shear utilization rate of the coupling beam section. To improve the utilization rate of bending resistance.
5. The method for achieving strong shear and weak bending in a coupling beam according to claim 4, characterized in that, The coupling beam employs symmetrical reinforcement at both ends. When the bending moment value at the left section of the coupling beam equals the bending moment value at the right section, and the yield strength of the bending moment at the left section of the actual reinforcement in the coupling beam equals the yield strength of the bending moment at the right section, the bending utilization rate can be simplified as follows: = = = 。 6. A computer device comprising a memory and a processor, wherein the memory stores a computer program, characterized in that, When the processor executes the computer program, it implements the steps of the method according to any one of claims 1 to 5.