Concrete normal section reinforcement design method and system, electronic equipment and storage medium

Abstract

The invention provides a concrete normal section reinforcement design method and system, electronic equipment and a storage medium. The method comprises the following steps: establishing a section stress model containing multi-layer reinforcement strain distribution based on plane section assumption; the stress state of the whole process of the section from axle center compression to axle center tension is simulated by setting strain proportion parameters of the strain of the outermost reinforcing steel bar on the tension side and the limit pressure strain of the concrete; aiming at a plurality of set strain state control points, calculating stress of each steel bar layer position, contribution of the stress to axial force and bending moment and contribution of the stress to a concrete compression area; and based on the section static balance condition, the optimal reinforcement area meeting the design load requirement is determined through iterative calculation, and the configuration constraint of multiple layers of steel bars is considered in the iterative calculation. The method overcomes the defects that a traditional method overestimates the effect of the pressed steel bars and ignores the strain difference of multiple layers of steel bars, and the accuracy and safety of reinforcement design of high-performance concrete structures such as nuclear islands are remarkably improved.

Description

Technical Field

[0001] This invention relates to the field of nuclear island civil engineering design technology, and in particular to a method, system, electronic device and storage medium for designing reinforced concrete cross-sections. Background Technology

[0002] The design of the concrete cross-section of the nuclear island civil structure is a crucial aspect of the load-bearing capacity design of concrete walls, slabs, beams, and columns. It determines the area of ​​reinforcement resisting axial forces and bending moments and assesses the concrete strength in the compression zone. Because concrete has extremely low tensile strength, its tensile effect is typically ignored in design. When tensile normal stress occurs in the concrete cross-section, the concrete in that area ceases to bear the load, and the tensile force it previously borne is "transferred" to the reinforcement. Therefore, the amount of reinforcement must be sufficient to withstand this tensile force, while the compressive stress in the concrete on the compression side should be less than its compressive strength.

[0003] Current concrete cross-section strength design methods, based on the plane section assumption, typically assume that the reinforcement in the compression zone reaches its compressive design strength and simplify multi-layer reinforcement into a single-layer model for calculation. However, this method has significant drawbacks: for thick-section members, because the outermost layer of compression reinforcement is far from the edge of the compression zone, the actual stress of this reinforcement is often lower than its design strength when the concrete reaches its ultimate compressive strain, leading to an overestimation of its contribution; simultaneously, the simplified model cannot reflect the true strain gradient of each layer of reinforcement, resulting in calculation results that are seriously inconsistent with the actual stress state. These problems pose significant safety risks when applying traditional methods to high-safety structures such as nuclear islands. Summary of the Invention

[0004] This invention provides a method, system, electronic device, and storage medium for designing reinforcement in concrete cross sections, in order to solve the technical problem that traditional concrete reinforcement design methods, due to assumption defects, overestimate the effect of compressive reinforcement and ignore the strain differences of multi-layer reinforcement, thus failing to meet the high safety requirements of nuclear island structures.

[0005] This invention provides a method for designing reinforcement in concrete cross-sections, comprising: Based on the plane section assumption, a section stress model including the strain distribution of multiple layers of steel bars is established; Calculate the stress model of the cross section at the corresponding strain scaling parameters. The stress at each layer of reinforcing steel and the bending moment about the centroidal axis of the cross section provided by a unit area of ​​reinforcing steel, as well as the height of the concrete in the compression zone and the axial force and bending moment about the centroidal axis of the cross section provided therein, wherein the strain proportionality parameter Defined as the ratio of the strain of the outermost layer of steel reinforcement on the tension side of the cross section to the ultimate compressive strain of the concrete at the compression edge; Based on the static equilibrium condition of the cross section, and according to the stress of each layer of steel reinforcement and the bending moment about the centroidal axis of the cross section provided by the steel reinforcement per unit area, as well as the axial force and bending moment about the centroidal axis of the cross section provided by the concrete in the compression zone, the optimal reinforcement area that meets the design load parameter requirements is determined by iterative calculation.

[0006] In one embodiment of the present invention, establishing a cross-sectional stress model including the strain distribution of multiple layers of reinforcing bars includes: Based on the dimensions of the concrete cross section and the constraints of the reinforcement configuration, the maximum number of reinforcement layers, the location of the reinforcement layers, and the maximum allowable reinforcement area for each layer are determined. Based on the direction of the bending moment on the section, a unified section stress model is established. In the section stress model, the distance between the steel reinforcement layers is measured from the edge of the compression side.

[0007] In one embodiment of the present invention, the strain proportional parameter The range of values ​​is from Up to 1, it covers the entire process of cross-sectional stress from axial compression, eccentric compression, pure bending, eccentric tension to axial tension.

[0008] In one embodiment of the present invention, the formulas for calculating the height of the concrete in the compression zone and the axial force and bending moment about the centroidal axis of the cross section are as follows: = , = min ( h,β 1 ), = α 1 f c b , = ( - , in, d s,nlayers+1 The distance from the compression edge to the outermost layer of tensile reinforcement. The height of the concrete in the compression zone. To calculate the height, This represents the equivalent stress coefficient of the rectangular compression zone of concrete. β 1 represents the height coefficient of the rectangular compression zone of the concrete. f c This is the design value of the axial compressive strength of concrete. b For the cross-sectional width, h For the cross-sectional height, The axial force provided to the concrete in the compression zone This represents the bending moment of the concrete in the compression zone about the centroidal axis of the cross section.

[0009] In one embodiment of the present invention, the formulas for calculating the stress in each layer of reinforcing bars and the bending moment about the centroidal axis of the cross section provided by a unit area of ​​reinforcing bars are as follows: = + (1- ), = , = ( - , in, The ultimate compressive strain at the compressed edge. d s,nlayers+1 The distance from the compression edge to the outermost layer of tensile reinforcement. d i For the first i The distance from the first layer of reinforcing bars to the compression edge. The elastic modulus of the steel reinforcement. This represents the equivalent stress coefficient of the rectangular compression zone of concrete. f c This is the design value of the axial compressive strength of concrete. h For the cross-sectional height, For the first i Stress of the reinforcing steel layer For the first i The bending moment about the centroidal axis of the cross section provided by the unit area of ​​steel reinforcement in the layer.

[0010] In one embodiment of the present invention, the design load parameters include design axial force and design bending moment, wherein the design bending moment includes the design axial force and design bending moment about the principal axis of the centroid of the cross section. y Bending moment of shaft rotation My and the principal axis of the centroid of the cross section z Bending moment of shaft rotation Mz .

[0011] In one embodiment of the present invention, the calculation of the cross-sectional stress model at the corresponding strain scaling parameters... The stress at each layer of reinforcing steel and the bending moment about the centroidal axis of the cross section provided by a unit area of ​​reinforcing steel, as well as the height of the concrete in the compression zone and the axial force and bending moment about the centroidal axis of the cross section provided by it, include: In strain ratio parameter Multiple control points are selected within the range of values; Assuming the area of ​​the reinforcing steel is 0, calculate the axial force provided by the concrete in the compression zone corresponding to each control point. and bending moment about the centroidal axis of the section To obtain the cross-sectional bearing capacity curve of plain concrete, the coordinates corresponding to the cross-sectional bearing capacity curve are [ , ] ; Determine whether the design load is located inside the cross-sectional bearing capacity curve. If so, the area of ​​the compression side reinforcement and the area of ​​the tension side reinforcement are both zero. If not, reinforcement needs to be added and the next calculation should be performed. Determine the calculation point And calculate each of the calculation points. Stress at each corresponding layer of reinforcing steel The bending moment about the centroidal axis of the cross section provided by the steel reinforcement per unit area and the height of the concrete in the compression zone and the axial force it provides and bending moment about the centroidal axis of the section .

[0012] In one embodiment of the present invention, the calculation point is determined. And calculate each of the calculation points. Stress at each corresponding layer of reinforcing steel The bending moment about the centroidal axis of the cross section provided by the steel reinforcement per unit area and the height of the concrete in the compression zone and the axial force it provides and bending moment about the centroidal axis of the section include: Linear interpolation is performed on adjacent control points to obtain a series of calculation points. ; For each calculation point Based on the plane section assumption, the stress corresponding to the reinforcement in each layer is calculated. The bending moment about the centroidal axis of the cross section provided by the steel reinforcement per unit area and the height of the concrete in the compression zone and the axial force it provides Bending moment about the centroidal axis of the cross section .

[0013] In one embodiment of the present invention, the number of control points is 30, including boundary violation points.

[0014] In one embodiment of the present invention, adjacent calculation points The difference in the height of the corresponding concrete compression zone No more than 1.0 mm.

[0015] In one embodiment of the present invention, determining the optimal reinforcement area that satisfies the design load parameters through iterative calculation includes: Set the initial reinforcement calculation layerk and m ,in k The calculated stratigraphic level is on the pressure side. m The calculation layer is on the tension side; Based on the current computational level k and m Calculate the area of ​​the compression side reinforcement under the current assumed floor level. and the corresponding total area of ​​the compression reinforcement. Total area of ​​tensile reinforcement ; Determine the area of ​​the compression side reinforcement in the current calculation layer. Are all areas smaller than the maximum area of ​​steel reinforcement that can be configured in each floor? A szmax If the condition is met, the iterative calculation ends, and the corresponding... and The final reinforcement area is determined and output. If it is not satisfied, the calculated reinforcement layer is adjusted. k and m And continue the iterative calculation.

[0016] In one embodiment of the present invention, the step based on the current computing level... k and m Calculate the total area of ​​compressive reinforcement under the current assumed floor level. Total area of ​​tensile reinforcement

[0017] Under the current assumed stratum, for each calculation point Perform a traversal calculation to obtain the corresponding area of ​​the compression side reinforcement. and the area of ​​tension side reinforcement and the corresponding total area of ​​the compression reinforcement. Total area of ​​tensile reinforcement ; Determine the optimal strain distribution point The corresponding calculation result output is the area of ​​the compression side reinforcement under the current assumed layer. and the total area of ​​the compression reinforcement Total area of ​​tensile reinforcement .

[0018] In one embodiment of the present invention, the determination of the optimal strain distribution point include: For asymmetric reinforcement cases where the areas of the compression and tension reinforcements are different, in all In the calculation results, take Minimum value corresponding to Let the optimal strain distribution point be denoted as . The optimal strain distribution point corresponds to , The value is used as the area of ​​the compression side reinforcement of the cross section. Area of ​​tension-bearing reinforcement ; For symmetrical reinforcement with identical areas of compression and tension reinforcement, in all In the calculation results, take | The minimum value corresponds to Let the optimal strain distribution point be denoted as . The optimal strain distribution point corresponds to , The larger value is used as the area of ​​the compression side reinforcement in the cross section. and the area of ​​tension side reinforcement .

[0019] In one embodiment of the present invention, the adjustment of the calculated layer position of the reinforcing bars... k and m The iterative calculation continues, including: Calculate the absolute value of the difference between the total area of ​​the compression side and the total area of ​​the tension side in the two iterations, and determine whether they meet the termination condition. If they do not meet the condition, continue the iteration calculation; if they do meet the condition, stop the calculation.

[0020] This invention also proposes a concrete cross-section reinforcement design system, comprising: The modeling module is used to build a cross-sectional stress model that includes the strain distribution of multiple layers of steel bars based on the plane section assumption. The analysis module is used to calculate the strain scaling parameters of the stress model of the cross section. The stress at each layer of reinforcing steel and the bending moment about the centroidal axis of the cross section provided by a unit area of ​​reinforcing steel, as well as the height of the concrete in the compression zone and the axial force and bending moment about the centroidal axis of the cross section provided therein, wherein the strain proportionality parameter Defined as the ratio of the strain of the outermost layer of steel reinforcement on the tension side of the cross section to the ultimate compressive strain of the concrete at the compression edge; The reinforcement calculation module is used to determine the optimal reinforcement area that meets the design load parameters based on the static equilibrium condition of the section and according to the stress of each layer of steel reinforcement and the bending moment about the centroidal axis of the section provided by the steel reinforcement per unit area, as well as the axial force and bending moment about the centroidal axis of the section provided by the concrete in the compression zone.

[0021] The present invention also proposes an electronic device, including a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the processor executes the computer program to implement the steps of the concrete cross-section reinforcement design method as described in any of the above embodiments.

[0022] The present invention also proposes a storage medium storing a computer program, which, when executed by a processor, implements the steps of the concrete cross-section reinforcement design method as described in any of the above embodiments.

[0023] The beneficial effects of this invention are as follows: The concrete cross-section reinforcement design method, system, electronic equipment, and storage medium proposed in this invention achieve accurate simulation of the full stress state of the cross-section from axial compression to axial tension by introducing strain ratio parameters, thus constructing a unified design theoretical framework. By utilizing the plane section assumption and calculating the actual strain and stress of the reinforcement layer by layer, the contribution of multi-layer reinforcement is accurately quantified, ensuring a high degree of consistency between the calculation model and the actual stress state. The reinforcement design is more in line with the actual stress situation and can meet the high safety design requirements of nuclear island concrete structures. By adopting a calculation strategy that combines linear interpolation and iterative optimization, the most economical reinforcement scheme that meets the bearing capacity requirements is automatically searched while ensuring calculation accuracy, thereby fundamentally improving the design safety and economy of high-performance concrete structures such as nuclear islands. Attached Figure Description

[0024] The accompanying drawings, which are incorporated in and form part of this specification, illustrate embodiments consistent with this application and, together with the description, serve to explain the principles of this application. It is obvious that the drawings described below are merely some embodiments of this application, and those skilled in the art can obtain other drawings based on these drawings without any inventive effort.

[0025] In the attached diagram: Figure 1 This is a flowchart illustrating a concrete section reinforcement design method according to an embodiment of the present invention. Figure 2 A schematic diagram of the concrete cross-section; Figure 3 For axial force N and bending moment M y A schematic diagram showing the distribution of reinforcing bars; Figure 4 For axial force N and bending moment M z A schematic diagram showing the distribution of reinforcing bars; Figure 5 This is a schematic diagram of an assumed plane section provided in an embodiment of the present invention; Figure 6 This is a diagram showing the location of the reinforcing steel layers according to an embodiment of the present invention; Figure 7 This is a schematic diagram of strain distribution under different stress states on a cross section according to an embodiment of the present invention. Figure 8A schematic diagram of the bearing capacity curve of axial force (N) + bending moment (M) of a normal cross section provided in an embodiment of the present invention; Figure 9 This is a schematic diagram of the cross-sectional bearing capacity curve of plain concrete provided in an embodiment of the present invention. Detailed Implementation

[0026] The following specific examples illustrate the implementation of the present invention. Those skilled in the art can easily understand other advantages and effects of the present invention from the content disclosed in this specification. The present invention can also be implemented or applied through other different specific embodiments. Various details in this specification can also be modified or changed based on different viewpoints and applications without departing from the spirit of the present invention. In the absence of conflict, the following embodiments and features in the embodiments can be combined with each other.

[0027] It should be noted that the illustrations provided in the following embodiments are only schematic representations of the basic concept of the present invention. The drawings only show the components related to the present invention and are not drawn according to the actual number, shape and size of the components in the actual implementation. In the actual implementation, the form, quantity and proportion of each component can be arbitrarily changed, and the layout of the components may also be more complex.

[0028] In the following description, numerous details are explored to provide a more thorough explanation of embodiments of the invention. However, it will be apparent to those skilled in the art that embodiments of the invention may be practiced without these specific details. In other embodiments, well-known structures and devices are shown in block diagram form rather than in detail to avoid obscuring embodiments of the invention.

[0029] The design of the concrete cross-section of the nuclear island civil structure is an important part of the load-bearing capacity design of concrete walls, slabs, beams, and columns. Concrete cross-section design involves designing the concrete cross-section to resist axial forces and bending moments. Because concrete has very low tensile strength, its resistance to tensile forces is usually ignored in concrete cross-section design; the resulting tensile forces are borne by the steel reinforcement. The process of calculating the required reinforcement area and verifying the compressive strength of the concrete is called concrete cross-section design. Existing technologies typically use the following simplified model: assuming that the concrete at the edge of the compression zone reaches its ultimate compressive strain. ε cu (Based on the concrete strength grade, the value is between 0.003 and 0.0033), and it is assumed that, except for the full-section tension state, the longitudinal reinforcement on the compression side can reach its compressive design strength. f y 'Meanwhile, the stress in the tension reinforcement is determined based on the deformation compatibility conditions under the ultimate limit state of the section. To simplify calculations, the multiple layers of longitudinal reinforcement in the compression and tension zones are usually combined into a single equivalent layer, meaning the entire section is calculated using only a two-layer reinforcement model. However, in practical engineering applications, especially in nuclear island concrete structures with large cross-sectional dimensions and complex reinforcement, and other structures with high safety requirements, this model overestimates the contribution of the compression zone reinforcement, leading to unsafe design results. Furthermore, the simplified calculations are significantly inconsistent with the actual strain distribution of the section, resulting in a large deviation between the calculated total reinforcement area and actual requirements, failing to meet the extremely high design accuracy and safety requirements of nuclear island structures.

[0030] Please see Figures 1 to 9 This invention proposes a method for designing reinforcement in concrete sections, comprising the following steps: S100. Based on the plane section assumption, a section stress model containing the strain distribution of multiple layers of steel bars is established. S200, the stress model of the calculated section under the corresponding strain scaling parameters The stress at each layer of reinforcing steel and the bending moment about the centroidal axis of the cross section provided by a unit area of ​​reinforcing steel, as well as the height of the concrete in the compression zone and the axial force and bending moment about the centroidal axis of the cross section provided by it, wherein the strain proportionality parameter Defined as the ratio of the strain of the outermost layer of steel reinforcement on the tension side of the cross section to the ultimate compressive strain of the concrete at the compression edge; S300. Based on the static equilibrium condition of the section, and according to the stress of each layer of steel reinforcement and the bending moment about the centroidal axis of the section provided by the steel reinforcement per unit area, as well as the axial force and bending moment about the centroidal axis of the section provided by the concrete in the compression zone, the optimal reinforcement area that meets the design load parameter requirements is determined by iterative calculation.

[0031] The concrete section reinforcement design method of this invention is based on the two most fundamental assumptions in the design of the normal section of nuclear island concrete structural members—the "plane section" assumption and the static equilibrium condition. Based on the "plane section" assumption, the actual strain of each reinforcement layer is calculated, and its stress is determined. The influence of the reinforcement layer on the reinforcement stress is fully considered. Finally, combined with the static equilibrium condition of the section, the minimum economic reinforcement area requirement corresponding to the sum of the required areas of the compression and tension sides is calculated. Iterative calculations consider the configuration constraints of multiple layers of reinforcement, making the section design more consistent with the actual stress conditions and meeting the high safety design requirements of nuclear island concrete structures. This solves the problem in traditional calculations where "except for the stress state of the entire section under tension, the longitudinal reinforcement on the compression side reaches its compressive design strength." f y ’The calculation assumptions lead to an overestimation of the role of the compression reinforcement and the calculation assumption that "the longitudinal reinforcement on both the compression and tension sides is considered as one layer" results in the calculated reinforcement area not conforming to the actual stress situation, thus failing to meet the high safety requirements of the nuclear island structure.

[0032] Please see Figures 1 to 4 In one embodiment of the present invention, Figure 2 This is a structural schematic diagram of a concrete cross-section. A concrete cross-section is the section perpendicular to the axis of the structural member. The design of a concrete cross-section refers to its resistance to axial force and bending moment, i.e., its resistance to... Figure 2 Axial force N With bending moment M y or axial force N With bending moment M z The design of concrete is such that, due to its low tensile strength, the concrete's resistance to tensile forces is usually ignored in the design of concrete cross-sections, and the resulting tensile forces are borne by the reinforcement bars. Figure 3 For axial force N and bending moment M y A schematic diagram showing the distribution of reinforcing bars. Figure 4 For axial force N and bending moment M z A schematic diagram showing the defined reinforcement distribution. In design, the bending moment about the principal axis of the centroid of the cross-section is typically used. M y and axial force N Coupled calculations are used to determine the direction along the principal axes parallel to the centroid. y Area of ​​reinforcement bars in directional configuration; bending moment about the principal axis of the centroid of the cross section. M z and axial force N Coupled calculations are used to determine the direction along the principal axes parallel to the centroid. z The area of ​​the directional reinforcement bars, such as Figures 3 to 4 As shown, a verification calculation under bidirectional bending moment is then performed.

[0033] It should be noted that you should refer to [link / reference]. Figures 1 to 4 In this invention, the design load parameters include the design axial force and the design bending moment, wherein the design bending moment includes the design axial force about the principal axis of the centroid of the cross section. y Bending moment of shaft rotation M y and the principal axis of the centroid of the cross section z Bending moment of shaft rotation M z The following discussion focuses on the principal axis around the centroid of the normal section. y Bending moment of shaft rotation M y and axial force NCoupled calculations are used to determine the direction along the principal axes parallel to the centroid. y Taking the area of ​​the directional reinforcement as an example, the specific process and principle of this technical solution are explained (around the principal axis of the centroid of the cross section). z Bending moment of shaft rotation M z and axial force N Coupled calculations are used to determine the direction along the principal axes parallel to the centroid. z The process for determining the area of ​​directional reinforcement is the same; only the calculation parameters need to be replaced accordingly.

[0034] Please see Figures 1 to 9 In one embodiment of the present invention, step S100 includes: Based on the dimensions of the concrete cross section and the constraints of the reinforcement configuration, the maximum number of reinforcement layers, the location of the reinforcement layers, and the maximum allowable reinforcement area for each layer are determined. Based on the direction of the bending moment on the section, a unified section stress model is established. In the section stress model, the distance between the reinforcement layers is measured from the edge of the compression side.

[0035] Please see Figure 5 This is a schematic diagram of the plane section assumption, which intuitively illustrates the linear strain distribution, the position of the neutral axis, the equivalent compression zone of the concrete, and the strain and stress state of each layer of reinforcement. The "plane section assumption" is the core calculation model of this invention and the principle and basis for subsequent calculations. Specifically, the plane section assumption assumes that the deformed section remains planar when designing the concrete cross-section, meaning that the strain at each point on the cross-section is linearly distributed, such as... Figure 5 As shown in the figure, b、h These represent the width and height of the rectangular concrete cross-section, respectively. c The height of the concrete compression zone; A s,1 , A s,2 ... A s, nlayers Corresponding to the layers 1, 2, ..., 3, starting from the compression side of the concrete cross-section. nlayers Layer of reinforcing steel; A s, nlayers+1 , A s, nlayers+2 ... A s, 2nlayers Corresponding to the first, second, ..., second layers, starting from the tension side of the concrete cross-section. nlayers Layer of reinforcing steel; d s,1 , d s,2 ... d s, nlayers Corresponding to the layers 1, 2, ..., 3, starting from the compression side of the concrete cross-section. nlayersThe distance of the first layer of reinforcing bars from the edge of the compression side; d s, nlayers+1 , d s, nlayers+2 ... d s, 2nlayers Corresponding to the first, second, ..., second layers, starting from the tension side of the concrete cross-section. nlayers The distance of the first layer of reinforcing bars from the edge of the compression side; ε s,1 , ε s,2 ... ε s, nlayers Corresponding to the layers 1, 2, ..., 3, starting from the compression side of the concrete cross-section. nlayers Strain of the reinforcing steel layer; σ s, nlayers+1 , σ s, nlayers+2 ... σ s, 2nlayers Corresponding to the first, second, ..., second layers, starting from the tension side of the concrete cross-section. nlayers Reinforcing steel stress; ε c σ c These represent the compressive strain and compressive stress of the concrete at the edge of the compression side of the concrete cross section.

[0036] Please see Figures 1 to 6 In step S100, firstly, based on the dimensions of the concrete cross-section and the constraints of the reinforcement configuration, the maximum number of reinforcement layers, the location of the reinforcement layers, and the maximum allowable reinforcement area per layer are determined. Specifically, based on the dimensions of the concrete cross-section and the constraints of the reinforcement configuration, the maximum number of reinforcement layers, the location of the reinforcement layers, and the maximum allowable reinforcement area per layer are determined. y Shaft cross-sectional dimensions b The minimum spacing requirements for reinforcing bars and the maximum diameter of reinforcing bars that can be configured can determine the maximum area of ​​reinforcing bars that can be configured in each floor. A szmax ; by perpendicular to y Shaft cross-sectional dimensions h The minimum spacing requirement between reinforcement layers can be determined at the top of the section ( Figure 6 shown top (face) and bottom ( Figure 6 shown bot The maximum number of steel reinforcement layers that can be configured on a surface nlayers and the positioning of the corresponding reinforcement layer ( Figure 6 As shown d sytop,1 , d sytop,2 ... d sytop,i ... d sytop,nlayers ; d sybot, 1, d sybot, 2 ... d sybot, i ... d sybot, nlayers According to the calculation, as follows: Figure 6 The schematic diagram of the reinforcement layer arrangement shown serves as the initial data input, providing physical positioning information of the reinforcement for subsequent strain and stress calculations.

[0037] Please see Figures 1 to 6 In step S100, after the relevant parameters for the reinforcement configuration are determined, a unified section stress model is established as the calculation model based on the direction of the bending moment on the section. In this calculation model, the distance between reinforcement layers is measured from the edge of the compression side. Specifically, based on the bending moment... M y The symbol will Figure 6 The shown rebar layer location is converted to Figure 5 The pattern shown serves as the calculation model used in subsequent calculations of this invention. For example, bending moments can be assumed. M y With the top surface of the cross section ( top Compression is positive, tension is negative. Therefore, when... M y When the value is positive or 0, we have: d s,1 =d sytop,1 , A s,1 =A sztop,1 ; d s,2 =d sytop,2 , A s,2 =A sztop,2 ; … d s,nlayerx =d sytop,nlayerx , A s, nlayerx =A sztop, nlayerx ; d s,nlayerx+1 =d sybot, , A s,nlayerx+1 =A sybot,1 ; d s,nlayerx+2=d sybot,2 , A s,nlayerx+2 =A sybot,2 ; … d s,2nlayerx =d sybot,nlayerx , A s,2nlayerx =A sybot,nlayerx .

[0038] when M y When the value is negative, we have: d s,1 =d sybot,1 , A s,1 =A szbot,1 ; d s,2 =d sybot,2 , A s,2 =A sybot,2 ; … d s,nlayerx =d sybot,nlayerx , A s, nlayerx =A sybot,nlayerx ; d s,nlayerx+1 =d sytop,1 , A s,nlayerx+1 =A sytop,1 ; d s,nlayerx+2 =d sytop,2 , A s,nlayerx+2 =A sytop,2 ; … d s,2nlayerx =d sytop,nlayerx , A s,2nlayerx =Asytop,nlayerx .

[0039] Please see Figures 1 to 9 In one embodiment of the present invention, in step S200, the strain ratio parameter is first set. And determine the strain ratio parameters The range of values ​​for is used to characterize the stress state of a concrete member throughout the entire process from axial compression to axial tension. Specifically, it is assumed that only bending moment... M y Under the action, the concrete at the compression edge of the section reaches its corresponding ultimate compressive strain, that is... ε cu =ε cu Strain ratio parameter Defined as the outermost layer on the tension side of the cross section (the first layer) nlayers +1 layer) Reinforcement strain ε s, nlayers+1 Ultimate compressive strain of concrete at the compression edge ε cu The ratio, i.e. In this embodiment, the strain ratio parameter The range of values ​​is from Up to 1, it covers the entire process of cross-sectional stress from axial compression, eccentric compression, pure bending, eccentric tension to axial tension. For example... Figure 7 As shown, X ii The value decreased from 1.0 to The cross section can be obtained under axial compression ( ), eccentric compression, pure bending, eccentric tension to axial tension ( The cross-sectional strain distribution during the entire process of the normal cross-section being subjected to force.

[0040] Please see Figure 7 Assuming the concrete at the compression edge of the section reaches its ultimate compressive strain ε cu (The fixed point at the top right of the diagram, for example, 0.003 or 0.0033), by changing the outermost layer on the tension side (the first...) nlayers Strain of +1 layer of reinforcing steel ε s, nlayers+1 (via parameters) ( ), to simulate different stress states. Figure 7 Different Different strain distributions under different values, when As these lines change from 1.0 to -∞, they will circle around ε cu As the point is rotated, the position of the neutral axis (the point where the strain is 0) also moves, thus covering all possible stress states. This diagram clearly shows how the outermost strain ratio can be controlled. This systematically traverses all possible strain distributions of the cross section, and then calculates the contributions of concrete and steel reinforcement under each strain distribution, laying the foundation for subsequent static equilibrium equation solving and steel reinforcement area determination.

[0041] Please see Figures 1 to 9 In one embodiment of the present invention, in step S200, the stress model of the cross section is calculated at the corresponding strain ratio parameter. The stress at each layer of reinforcing steel and the bending moment about the centroidal axis of the cross section provided by a unit area of ​​reinforcing steel, as well as the height of the concrete in the compression zone and the axial force and bending moment about the centroidal axis of the cross section provided by it, include: In strain ratio parameter Multiple control points are selected within the range of values; Assuming the area of ​​the reinforcing steel is 0, calculate the axial force provided by the concrete in the compression zone at each control point. and bending moment about the centroidal axis of the section To obtain the cross-sectional bearing capacity curve of plain concrete, the coordinates corresponding to the cross-sectional bearing capacity curve are [ , ] ; Determine whether the design load is inside the section bearing capacity curve. If so, the area of ​​the compression side reinforcement and the area of ​​the tension side reinforcement are both zero. If not, reinforcement needs to be added and the next calculation should be performed. Determine the calculation point And calculate each calculation point. Stress at each corresponding layer of reinforcing steel The bending moment about the centroidal axis of the cross section provided by the steel reinforcement per unit area and the height of the concrete in the compression zone and the axial force it provides and bending moment about the centroidal axis of the section .

[0042] Please see Figures 1 to 9 In one embodiment of the present invention, the calculation point is determined. And calculate each calculation point. Stress at each corresponding layer of reinforcing steel The bending moment about the centroidal axis of the cross section provided by the steel reinforcement per unit area and the height of the concrete in the compression zone and the axial force it provides and bending moment about the centroidal axis of the section include: Linear interpolation is performed on adjacent control points to obtain a series of calculation points. ; For each calculation point Based on the plane section assumption, the stress corresponding to the reinforcement in each layer is calculated. The bending moment about the centroidal axis of the cross section provided by the steel reinforcement per unit area and the height of the concrete in the compression zone and the axial force it provides Bending moment about the centroidal axis of the cross section .

[0043] Please see Figures 1 to 9 In one embodiment of the present invention, the number of control points selected is 30, including boundary violation points. Specifically, Figure 8 This is a schematic diagram of the bearing capacity curve of axial force (N) + bending moment (M) for a normal cross section. Based on the variation law of the bearing capacity curve, the strain proportional parameter is adjusted. Thirty control points were appropriately selected, including the critical failure point. It should be noted that the critical failure point is the point where the concrete compressive strain at the compression edge of the cross-section reaches its ultimate compressive strain and the steel strain at the tension edge reaches its tensile yield strain. This corresponds to the inflection point in the figure, the boundary between the pure compression and pure tension regions, representing the transition from compressive to tensile failure. Using this point as a control point ensures that this important critical state is considered, allowing for a more comprehensive evaluation of the performance of different reinforcement schemes. In this embodiment, the specific results of selecting the 30 control points are as follows: ={-10 12 -500, -100, -50, -25, -10, -7.5, -5, -4.5, -4, -3.5, -3, -2.5, -2, -0.005 / 0.003, -1.5, -1, -0.9, - ,-0.5,-0.4,-0.3,-0.2,-0.1,0,0.1,0.25,0.5,0.75,1.0}.

[0044] Please see Figures 1 to 9 In one embodiment of the present invention, the calculation formulas for the height of the concrete in the compression zone and the axial force it provides, as well as the bending moment about the centroidal axis of the cross section, are as follows: = , = min ( h,β 1 ), = α 1 f c b , = ( - .

[0045] The height of the concrete in the compression zone can be calculated using the above formula. and the axial force it provides Bending moment about the centroidal axis of the cross section .in, d s,nlayers+1 The distance from the compression edge to the outermost layer of tensile reinforcement. The height of the concrete compression zone. To calculate the height, This represents the equivalent stress coefficient of the rectangular compression zone of concrete. β 1 represents the height coefficient of the rectangular compression zone of the concrete. f c This is the design value of the axial compressive strength of concrete. b For the cross-sectional width, h This represents the cross-sectional height.

[0046] Please see Figures 1 to 9 In one embodiment of the present invention, α 1 and β The value of 1 is determined based on the concrete strength grade. Specifically, when the concrete strength does not exceed C50, α 1 takes 1.0, β 1 is taken as 0.8; when the concrete strength grade is C80, α 1 is 0.94. β 1 is taken as 0.74, and the values ​​in between are determined by linear interpolation.

[0047] Please see Figures 1 to 9 In one embodiment of the present invention, the formulas for calculating the stress in each layer of reinforcing bars and the bending moment about the centroidal axis of the cross section provided by a unit area of ​​reinforcing bars are as follows: = + (1- ), = , = ( - .

[0048] The predetermined location of the reinforcing bar (the first) can be calculated using the above formula. i Stress of (layer of steel reinforcement) and the bending moment about the centroidal axis of the cross section provided by the unit area of ​​steel reinforcement at that location. .in, The ultimate compressive strain at the compressed edge. d s,nlayers+1 The distance from the compression edge to the outermost layer of tensile reinforcement. di For the first i The distance from the first layer of reinforcing bars to the compression edge. The elastic modulus of the steel reinforcement. This represents the equivalent stress coefficient of the rectangular compression zone of concrete. f c This is the design value of the axial compressive strength of concrete. h This represents the cross-sectional height.

[0049] It should be noted that the core of the above formula is for each... The state is used to calculate the bearing capacity contribution of concrete and the "bearing capacity contribution per unit area" (i.e., stress) of each layer of steel reinforcement. and bending moment per unit area These calculated values ​​serve as coefficients, which are used in subsequent steps to construct equations to solve for the actual required area of ​​reinforcing steel.

[0050] Please see Figures 1 to 9 In one embodiment of the present invention, since plain concrete (concrete without reinforcing bars) has a certain positive section bearing capacity (the ability to bear axial force and bending moment), in order to avoid the subsequent steps being unable to determine the actual situation where the calculated reinforcing bar area is greater than or equal to 0, a step of judging the bearing capacity of plain concrete is added in step S200 to avoid unnecessary reinforcing bar configuration and improve economy.

[0051] Specifically, in the strain proportional parameter After selecting multiple control points within the range of values, first assume the reinforcement area is 0, and then adjust the strain ratio parameter accordingly. The coordinates of each control point are calculated as follows: = α 1 f c b , = ( - ], which are connected N - M The relevant curves (i.e., the cross-sectional bearing capacity curves of plain concrete) are as follows: Figure 9 As shown. If the axial force generated at the cross section due to the design load... N u and bending moment M u (i.e., design axial force and design bending moment, such as) Figure 9 The point shown in the Chinese block is located at the bearing capacity of the plain concrete cross section. NM Within the relevant curve, the bearing capacity of the plain concrete section is sufficient to meet the bearing requirements, and no reinforcement is needed. In this case, the area of ​​the reinforcement on the compression side of the section is... Area of ​​tension-bearing reinforcement All values ​​are 0, calculation ends. If the axial force and bending moment generated by the load at the section are within the normal bearing capacity of the plain concrete section... NM Outside the relevant curves, reinforced steel bars are required to meet the load-bearing requirements of the section. In this case, the area of ​​the reinforcing steel bars on the compression side of the positive section... Area of ​​tension-bearing reinforcement If at least one of the values ​​is not zero, subsequent steps must be performed to calculate the area of ​​the reinforcing steel.

[0052] Please see Figures 1 to 9 In one embodiment of the present invention, in step S200, the stress at each layer of reinforcing bars, the bending moment about the centroidal axis of the cross section provided by the reinforcing bars per unit area, and the height of the concrete in the compression zone and the axial force and bending moment about the centroidal axis of the cross section provided are used as parameters for subsequent iterative calculations. To ensure calculation accuracy, the strain ratio parameter is... Linear interpolation is performed on the control points, and more calculation points are generated based on the selected control points to ensure the calculation accuracy of the key areas.

[0053] Specifically, please refer to Figures 1 to 9 When assessing the load-bearing capacity of plain concrete sections and determining that reinforcement is required, the selected strain ratio parameters are adjusted according to certain standards. Linear interpolation is performed on the control points, and parameters are calculated for the interpolated calculation points. In this embodiment, the interpolation criterion is to ensure that adjacent calculation points... The difference in the height of the corresponding concrete compression zone A value no greater than 1.0 mm effectively ensures calculation accuracy in critical areas. First, 30 selected... The control points are used to calculate the corresponding concrete height in the compression zone. Then calculate the difference between adjacent calculation points. To determine whether interpolation encryption is needed, if No interpolation is needed if the value is ≤1.0mm. >1.0mm, then according to The value is used to insert calculation points between these two points. The number of insertion points is determined by calculation; for example, equal-interval insertion can be used, or based on... New calculation points are determined by backpropagation at equal intervals, and more and denser calculation points are generated through interpolation. Finally, the corresponding parameters are calculated for each calculation point; by controlling... The upper limit is used to ensure computational accuracy in critical regions. The series of interpolated, extended computational points are denoted as... For each calculation point Each expanded calculation point is calculated according to the above formula. The corresponding extended calculation parameters are denoted as , , , , , This is used for subsequent reinforcement calculations.

[0054] Please see Figures 1 to 9 In one embodiment of the present invention, step S300 includes: Set the initial reinforcement calculation layer k and m ,in k The calculated stratigraphic level is on the pressure side. m The calculation layer is on the tension side; Based on the current computational level k and m Calculate the area of ​​the compression side reinforcement under the current assumed floor level. and the corresponding total area of ​​the compression reinforcement. Total area of ​​tensile reinforcement ; Determine the area of ​​the compression side reinforcement in the current calculation layer. Are all areas smaller than the maximum area of ​​steel reinforcement that can be configured in each floor? A szmax If the condition is met, the iterative calculation ends, and the corresponding... and The final reinforcement area is determined and output. If it is not satisfied, the calculated reinforcement layer is adjusted. k and m Then return to continue iterative calculation.

[0055] Please see Figures 1 to 9 In one embodiment of the present invention, in step S300, it is initially assumed that only one layer of reinforcement is provided on both the compression side and the tension side, that is, the initial reinforcement calculation layer is... k =1 and m =n layers +1.

[0056] Please see Figures 1 to 9 In one embodiment of the present invention, based on the current computing level k and m Calculate the area of ​​the compression side reinforcement under the current assumed floor level. and the corresponding total area of ​​the compression reinforcement. Total area of ​​tensile reinforcement include: Under the current assumed stratum, for each calculation point Perform a traversal calculation to obtain the corresponding area of ​​the compression side reinforcement. and the area of ​​tension side reinforcement and the corresponding total area of ​​the compression reinforcement. Total area of ​​tensile reinforcement ; Determine the optimal strain distribution point The corresponding calculation result output is the area of ​​the compression side reinforcement under the current assumed layer. and the total area of ​​the compression reinforcement Total area of ​​tensile reinforcement .

[0057] Please see Figures 1 to 9 In one embodiment of the present invention, for each calculation point When performing traversal calculations, for each calculation point and the currently assumed computational level k and m Establish and solve the static equilibrium equations to obtain the calculated strata. k , m Reinforcement area corresponding to the layer And make reasonable adjustments to the calculation results so that , All values ​​are greater than or equal to 0; based on the area of ​​the compression side reinforcement. The corresponding total area of ​​compression reinforcement is calculated. Total area of ​​tensile reinforcement .

[0058] Specifically, based on the static equilibrium condition of the cross section, and based on the stress of each layer of reinforcement and the bending moment about the centroidal axis of the cross section provided by the reinforcement per unit area calculated in step S200, as well as the axial force and bending moment about the centroidal axis of the cross section provided by the concrete in the compression zone, the static equilibrium equations are established as follows:

[0059] In the formula, , The axial force acting at the centroid of the cross section ( N ) and bending moment ( My or Mz ). k , m For the assumed current reinforcement calculation layer, 1~ k -1 and nlayers +1~ m -1 represents a layer with a known rebar area, where the corresponding rebar area is the maximum area per unit length that satisfies constructability, determined by the thickness. . The axial force provided to the concrete in the compression zone This represents the bending moment of the concrete in the compression zone about the centroidal axis of the cross section. , For the first k , m Stress of the reinforcing steel layer , For the first k , m The bending moment about the centroidal axis of the cross section provided by the unit area of ​​steel reinforcement in the layer.

[0060] It should be noted that, since the initial assumption is that only one layer of reinforcement is provided on both the compression side and the tension side, that is... k= 1, m= nlayers +1, at this point: =0, =0; , .

[0061] In this embodiment, during the iterative calculation process, for each determined set of reinforcement calculation layers... k , m and known reinforcement area layer 1~ k -1、 nlayers +1~ m -1, the parameter corresponding to each point after traversal ( , , , , i ∈ (1,2) nlayers Each calculation point can be obtained. In the computational layer k , m Reinforcement area corresponding to the layer , The calculation formula obtained by solving the above system of equations is as follows: ; = ; A= ; B= + ; = .

[0062] In this embodiment, among all the calculation results obtained by the above formula for each calculation point, it is necessary to exclude cases where the calculated reinforcement area is less than zero but the contribution to axial force (bending moment) is extremely low. Specifically, the calculation results are adjusted as follows: when... <0 and | |≤ α 1 f c b hour, =0; <0 and | |≤ α 1 f c b hour, =0. This step eliminates tiny negative values ​​caused by numerical calculation errors or slight overfitting, avoiding the introduction of unnecessary reinforcement or complexity. In this embodiment, the area of ​​all calculated and adjusted reinforcement is... , When all values ​​are greater than or equal to 0, calculate the following formula: Corresponding total area of ​​compression reinforcement Total area of ​​tensile reinforcement : = + max ( k -1,0) , = + max ( m -1,0) .

[0063] In this embodiment, the area of ​​the reinforcing steel at the current calculated level is compared with the area previously assumed to be filled. A szmax The sum of the areas of the reinforcing bars in each layer gives the result. The total steel reinforcement requirement under the given condition. Where, max The function ensures that when k When =1, the area of ​​the reinforcement layer is known to be 0. m = nlayers When +1, the area of ​​the reinforcing steel layer is known to be 0.

[0064] Please see Figures 1 to 9 In one embodiment of the present invention, during the traversal of calculation points Of all the results obtained, multiple comparisons were made based on the design requirements (asymmetric or symmetric reinforcement). Based on the calculation results, the optimal solution and the corresponding optimal strain distribution point are determined. The calculation result is the area of ​​the compression side reinforcement under the current assumed floor level. and the total area of ​​the compression reinforcement Total area of ​​tensile reinforcement Specifically, based on the principle of optimal economic efficiency, for asymmetric reinforcement cases where the areas of the compression and tension reinforcements are different, in all... In the calculation results, take Minimum value corresponding to Let the optimal strain distribution point be denoted as . The optimal strain distribution point corresponds to , The value is used as the area of ​​the compression side reinforcement of the cross section. Area of ​​tension-bearing reinforcement For symmetrical reinforcement with the same area of ​​steel bars on the compression and tension sides, in all In the calculation results, take | The minimum value corresponds to Let the optimal strain distribution point be denoted as . The optimal strain distribution point corresponds to , The larger value is used as the area of ​​the compression side reinforcement in the cross section. and the area of ​​tension side reinforcement .

[0065] Please see Figures 1 to 9 In one embodiment of the present invention, the optimal strain distribution point of the current calculation layer After determining the corresponding calculation results, it is necessary to determine the area of ​​the compression side reinforcement in the current calculation layer. Are all areas smaller than the maximum area of ​​steel reinforcement that can be configured in each floor? A szmax If the condition is met, the iterative calculation ends, and the corresponding... and Determine and output the final reinforcement area; if not, adjust the reinforcement calculation layer. k and m Then, it returns to continue the iterative calculation. During the calculation, when it iterates to a certain point... k and m At that time, the area of ​​the compression side reinforcement obtained in the current calculation layer and All are smaller than the maximum configurable area of ​​a single floor. A szmax (Reinforcement Feasibility Conditions) This means that a suitable combination of layers has been found, such that, apart from the already fully reinforced layers, the remaining mechanical requirements can be met by the outermost calculated reinforcement layer, and the area of ​​this calculated layer is feasible. Therefore, the iteration stops at this point, and the corresponding... and Determine and output the final reinforcement area; if it does not meet the requirements, it means that the current number of floors cannot meet the requirements and the number of floors needs to be increased. In this case, adjust the reinforcement calculation floor position. k and m Then return to continue iterative calculation.

[0066] Please see Figures 1 to 9 In one embodiment of the present invention, the area of ​​the compression side reinforcement of the positive section obtained by the current calculation layer is... and the area of ​​the tension side reinforcement When all of them are less than or equal to the maximum area of ​​steel reinforcement that can be configured in each floor A szmax The calculation is completed immediately; if this condition is not met, the reinforcement calculation layer is adjusted. k and m And return to continue iterative calculation. Specifically, take respectively k = min ( int [ +1, nlayers ), m = min ( int [ +1, nlayers To redetermine the reinforcement calculation layer position k , m and the known area and location of the reinforcing steel bars, layer 1~ k -1、 nlayers +1~ m -1; Use the new k and m The value (i.e., the new reinforcement layer assumption) is used to iterate through all the layers again. Point-based solution and This continues until the iteration conditions are met.

[0067] Understandably, if the current calculation results do not meet the conditions, it means that the current number of rebar layers is insufficient and the number of layers needs to be increased. int [ This indicates that it needs to be filled. A szmax The layer number, +1 indicates that the next layer needs to be calculated, using... min The function ensures that the number of layers does not exceed the maximum allowed number of layers. nlayers Then, with new k and m Value (meaning there is now) k -1 floor and m -1 layer of reinforcement is assumed to be A szmax Then, the iterative calculation is repeated. For example, if the current calculation yields... It is 2.5 * A szmax Then int[2.5] + 1 = 3, indicating that in the next round of calculation, the first two layers of reinforcement are calculated as follows: A szmax The reinforcement is fully supplied, and the third layer is the reinforcement layer to be calculated. This is a process of dynamically adjusting the number of reinforcement layers to ensure that the reinforcement is reasonably distributed to different layers while meeting the load-bearing capacity requirements, and finally to obtain the actual required total reinforcement area.

[0068] Please see Figures 1 to 9 In one embodiment of the present invention, the calculated layer position of the reinforcing bars is adjusted. k and m The calculation continues iteratively, including calculating the absolute difference between the total area of ​​the compression side and the total area of ​​the tension side calculated in the two iterations, and determining whether the termination condition is met. If not, the iterative calculation continues; if it is met, the calculation stops. It should be noted that if the current calculation result does not meet the reinforcement feasibility conditions, the reinforcement calculation layer generally needs to be adjusted. k and m The calculation continues iteratively, but to avoid infinite loops (e.g., if the reinforcement feasibility condition is not met even after calculating to the maximum layer), a termination condition is set. In this embodiment, the termination condition is set as follows: the absolute value of the difference between the total area of ​​the compression side reinforcement calculated in two consecutive iterations is less than 2% of the previous calculated value, and the absolute value of the difference between the total area of ​​the tension side reinforcement calculated in two consecutive iterations is less than 2% of the previous calculated value. After the final result calculation for the current assumed layer is completed, the absolute values ​​of the difference between the total area of ​​the compression side reinforcement calculated in two consecutive iterations and the absolute values ​​of the difference between the total area of ​​the tension side reinforcement calculated in two consecutive iterations are calculated. It is then determined whether both are less than 2% of the previous calculated value. If the termination condition is not met, the number of reinforcement layers is increased according to the above steps based on the calculation results, and the iteration continues until the reinforcement feasibility condition is met, indicating that the current reinforcement layer is within acceptable limits. k and m Under the assumption that the required amount of steel reinforcement can meet the design load and be physically placed, the current result is output as the final reinforcement area and the calculation ends; if the iterative calculation meets the termination condition, the calculation is stopped directly. If the current calculation result does not meet the reinforcement feasibility condition after the calculation is stopped, it means that the current concrete cross section design cannot meet the reinforcement requirements and a deeper design adjustment is required. At this time, the engineer needs to adjust the cross section design and redesign before carrying out the reinforcement design.

[0069] Understandably, the iteration stops when the calculation results meet either the reinforcement feasibility condition or the termination condition. This dual-condition mechanism can effectively find feasible reinforcement schemes, ensure that the calculated area of ​​the steel bars meets the total bearing capacity requirements, is physically feasible (not exceeding the maximum area of ​​a single layer), and can be reasonably distributed in multiple layers of steel bars. It can also intelligently handle design limit cases and avoid unnecessary calculation cycles.

[0070] Please see Figures 1 to 9This invention also proposes a concrete section reinforcement design system, including a modeling module, an analysis module, and a reinforcement calculation module. The modeling module is used to establish a section stress model containing the strain distribution of multiple layers of steel reinforcement based on the plane section assumption; the analysis module is used to calculate the section stress model at the corresponding strain ratio parameters. The stress at each layer of reinforcing steel and the bending moment about the centroidal axis of the cross section provided by a unit area of ​​reinforcing steel, as well as the height of the concrete in the compression zone and the axial force and bending moment about the centroidal axis of the cross section provided by it, wherein the strain proportionality parameter Defined as the ratio of the strain of the outermost layer of steel reinforcement on the tension side of the cross section to the ultimate compressive strain of the concrete at the compression edge; the reinforcement calculation module is used to determine the optimal reinforcement area that meets the design load parameters based on the static equilibrium condition of the cross section, and according to the stress of each layer of steel reinforcement and the bending moment about the centroidal axis of the cross section provided by the steel reinforcement per unit area, as well as the axial force and bending moment about the centroidal axis of the cross section provided by the concrete in the compression zone.

[0071] Please see Figures 1 to 9 The present invention also proposes an electronic device, including a memory, a processor, and a computer program stored in the memory and executable on the processor. When the processor executes the computer program, it implements the steps of the concrete section reinforcement design method as described in any of the above embodiments.

[0072] Please see Figures 1 to 9 The present invention also proposes a storage medium storing a computer program, which, when executed by a processor, implements the steps of the concrete section reinforcement design method as described in any of the above embodiments.

[0073] In summary, the concrete cross-section reinforcement design method, system, electronic device, and storage medium of this invention achieve accurate simulation of the full stress state of the cross-section from axial compression to axial tension by introducing strain ratio parameters, thus constructing a unified design theoretical framework. By utilizing the plane section assumption and calculating the actual strain and stress of the reinforcement layer by layer, the contribution of multi-layer reinforcement is accurately quantified, ensuring a high degree of consistency between the calculation model and the actual stress state. The reinforcement design is more consistent with the actual stress situation and can meet the high safety design requirements of nuclear island concrete structures. By adopting a calculation strategy combining linear interpolation and iterative optimization, the most economical reinforcement scheme that meets the bearing capacity requirements is automatically searched while ensuring calculation accuracy, thereby fundamentally improving the design safety and economy of high-performance concrete structures such as nuclear islands. This method can also provide a quantitative evaluation means to improve constructability in construction projects by optimizing the reinforcement layout scheme due to reinforcement misalignment.

[0074] The above embodiments are merely illustrative of the principles and effects of the present invention and are not intended to limit the invention. Any person skilled in the art can modify or alter the above embodiments without departing from the spirit and scope of the present invention. Therefore, all equivalent modifications or alterations made by those skilled in the art without departing from the spirit and technical concept disclosed in the present invention should still be covered by the claims of the present invention.

[0075] Throughout this description, numerous specific details, such as examples of components and / or methods, are provided to provide a complete understanding of embodiments of the invention. However, those skilled in the art will recognize that embodiments of the invention may be practiced without one or more of these specific details or by other devices, systems, components, methods, parts, materials, components, etc. In other instances, well-known structures, materials, or operations have not been specifically shown or described in detail to avoid obscuring aspects of embodiments of the invention.

[0076] Throughout this specification, the terms "an embodiment," "embodiment," or "specific embodiment" refer to a particular feature, structure, or characteristic described in connection with an embodiment that is included in at least one embodiment of the invention, but not necessarily in all embodiments. Therefore, the various representations of the phrases "in one embodiment," "in an embodiment," or "in a specific embodiment" in different places throughout the specification do not necessarily refer to the same embodiment. Furthermore, a particular feature, structure, or characteristic of any specific embodiment of the invention can be combined with one or more other embodiments in any suitable manner. It should be understood that other variations and modifications of the embodiments of the invention described and illustrated herein may be based on the teachings herein and will be considered part of the spirit and scope of the invention.

[0077] It should also be understood that one or more of the elements shown in the figures may be implemented in a more separate or more integrated manner, or may even be removed because they are inoperable in certain circumstances or provided because they may be useful for a particular application.

[0078] Furthermore, unless otherwise expressly stated, any arrows in the accompanying drawings should be considered illustrative only and not limiting. Additionally, unless otherwise stated, the term "or" as used herein is generally intended to mean "and / or". Where a term is anticipated to provide a separation or combination capability that is unclear, a combination of components or steps will also be considered as indicated.

[0079] As used herein and throughout the claims below, unless otherwise specified, “a” and “the” include the plural references. Similarly, as used herein and throughout the claims below, unless otherwise specified, “in” means “in” and “on”.

[0080] The above description of the embodiments shown in this invention (including the content set forth in the abstract of the specification) is not intended to be an exhaustive enumeration or to limit the invention to the precise forms disclosed herein. Although specific embodiments and examples of the invention have been described herein for illustrative purposes only, various equivalent modifications are possible within the spirit and scope of the invention, as will be recognized and understood by those skilled in the art. As indicated, these modifications can be made to the invention in accordance with the above description of the embodiments described herein, and such modifications will be within the spirit and scope of the invention.

[0081] This document has generally described the systems and methods in detail to aid in understanding the invention. Furthermore, various specific details have been set forth to provide a general understanding of embodiments of the invention. However, those skilled in the art will recognize that embodiments of the invention can be practiced without one or more specific details, or using other means, systems, accessories, methods, components, materials, parts, etc. In other instances, well-known structures, materials, and / or operations have not been specifically shown or described in detail to avoid obscuring aspects of embodiments of the invention.

[0082] Therefore, although the invention has been described herein with reference to specific embodiments thereof, freedom of modification, various changes and substitutions are also within the scope of the foregoing disclosure, and it should be understood that in some cases, certain features of the invention may be adopted without departing from the scope and spirit of the invention and without corresponding use of other features. Thus, many modifications can be made to adapt a particular environment or material to the essential scope and spirit of the invention. The invention is not intended to be limited to the specific terminology used in the following claims and / or the specific embodiments disclosed as the best mode for carrying out the invention, but the invention will include any and all embodiments and equivalents falling within the scope of the appended claims. Therefore, the scope of the invention will be defined only by the appended claims.

Claims

1. A method for designing reinforcement in a concrete cross-section, characterized in that, include: Based on the plane section assumption, a section stress model including the strain distribution of multiple layers of steel bars is established; Calculate the stress model of the cross section at the corresponding strain scaling parameters. The stress at each layer of reinforcing steel and the bending moment about the centroidal axis of the cross section provided by a unit area of ​​reinforcing steel, as well as the height of the concrete in the compression zone and the axial force and bending moment about the centroidal axis of the cross section provided therein, wherein the strain proportionality parameter Defined as the ratio of the strain of the outermost layer of steel reinforcement on the tension side of the cross section to the ultimate compressive strain of the concrete at the compression edge; Based on the static equilibrium condition of the cross section, and according to the stress of each layer of steel reinforcement and the bending moment about the centroidal axis of the cross section provided by the steel reinforcement per unit area, as well as the axial force and bending moment about the centroidal axis of the cross section provided by the concrete in the compression zone, the optimal reinforcement area that meets the design load parameter requirements is determined by iterative calculation.

2. The concrete cross-section reinforcement design method according to claim 1, characterized in that, Establishing a cross-sectional stress model that includes the strain distribution of multiple layers of reinforcing bars includes: Based on the dimensions of the concrete cross section and the constraints of the reinforcement configuration, the maximum number of reinforcement layers, the location of the reinforcement layers, and the maximum allowable reinforcement area for each layer are determined. Based on the direction of the bending moment on the section, a unified section stress model is established. In the section stress model, the distance between the steel reinforcement layers is measured from the edge of the compression side.

3. The method for designing reinforcement of concrete cross-sections according to claim 1, characterized in that, The strain ratio parameter The range of values ​​is from Up to 1, it covers the entire process of cross-sectional stress from axial compression, eccentric compression, pure bending, eccentric tension to axial tension.

4. The method for designing reinforcement of concrete cross-sections according to claim 1, characterized in that, The formulas for calculating the height of the concrete in the compression zone, the axial force it provides, and the bending moment about the centroidal axis of the section are as follows: = ， = min ( h,β 1 )， = α 1 f c b ， = ( － ， in, d s,nlayers+1 The distance from the compression edge to the outermost layer of tensile reinforcement. The height of the concrete in the compression zone. To calculate the height, This represents the equivalent stress coefficient of the rectangular compression zone of concrete. β 1 represents the height coefficient of the rectangular compression zone of the concrete. f c This is the design value of the axial compressive strength of concrete. b For the cross-sectional width, h For the cross-sectional height, The axial force provided to the concrete in the compression zone This represents the bending moment of the concrete in the compression zone about the centroidal axis of the cross section.

5. The method for designing reinforcement of concrete cross-sections according to claim 1, characterized in that, The formulas for calculating the stress in each layer of reinforcing bars and the bending moment about the centroidal axis of the cross section provided by a unit area of ​​reinforcing bars are as follows: = ＋ (1－ )， = ， = ( － ， in, The ultimate compressive strain at the compressed edge. d s,nlayers+1 The distance from the compression edge to the outermost layer of tensile reinforcement. d i For the first i The distance from the first layer of reinforcing bars to the compression edge. The elastic modulus of the steel reinforcement. This represents the equivalent stress coefficient of the rectangular compression zone of concrete. f c This is the design value of the axial compressive strength of concrete. h For the cross-sectional height, For the first i Stress of the reinforcing steel layer For the first i The bending moment about the centroidal axis of the cross section provided by the unit area of ​​steel reinforcement in the layer.

6. The method for designing reinforcement of concrete cross-sections according to claim 1, characterized in that, The design load parameters include design axial force and design bending moment, the design bending moment including the bending moment about the principal axis of the centroid of the cross section. y Bending moment of shaft rotation My and the principal axis of the centroid of the cross section z Bending moment of shaft rotation Mz .

7. The method for designing reinforcement of concrete cross-sections according to claim 1, characterized in that, The calculation of the cross-sectional stress model at the corresponding strain ratio parameters The stress at each layer of reinforcing steel and the bending moment about the centroidal axis of the cross section provided by a unit area of ​​reinforcing steel, as well as the height of the concrete in the compression zone and the axial force and bending moment about the centroidal axis of the cross section provided by it, include: In strain ratio parameter Multiple control points are selected within the range of values; Assuming the area of ​​the reinforcing steel is 0, calculate the axial force provided by the concrete in the compression zone corresponding to each control point. and bending moment about the centroidal axis of the section To obtain the cross-sectional bearing capacity curve of plain concrete, the coordinates corresponding to the cross-sectional bearing capacity curve are [ , ] ; Determine whether the design load is located inside the cross-sectional bearing capacity curve. If so, the area of ​​the compression side reinforcement and the area of ​​the tension side reinforcement are both zero. If not, reinforcement needs to be added and the next calculation should be performed. Determine the calculation point And calculate each of the calculation points. Stress at each corresponding layer of reinforcing steel The bending moment about the centroidal axis of the cross section provided by the steel reinforcement per unit area and the height of the concrete in the compression zone and the axial force it provides and bending moment about the centroidal axis of the section .

8. The method for designing reinforcement of concrete cross-sections according to claim 7, characterized in that, Determine the calculation point And calculate each of the calculation points. Stress at each corresponding layer of reinforcing steel The bending moment about the centroidal axis of the cross section provided by the steel reinforcement per unit area and the height of the concrete in the compression zone and the axial force it provides and bending moment about the centroidal axis of the section include: Linear interpolation is performed on adjacent control points to obtain a series of calculation points. ; For each calculation point Based on the plane section assumption, the stress corresponding to the reinforcement in each layer is calculated. The bending moment about the centroidal axis of the cross section provided by the steel reinforcement per unit area and the height of the concrete in the compression zone and the axial force it provides Bending moment about the centroidal axis of the cross section .

9. The method for designing reinforcement of concrete cross-sections according to claim 7, characterized in that, The number of control points is 30, including boundary violation points.

10. The method for designing reinforcement of concrete cross-sections according to claim 8, characterized in that, Adjacent calculation points The difference in the height of the corresponding concrete compression zone No more than 1.0 mm.

11. The method for designing reinforcement of concrete cross-sections according to claim 8, characterized in that, The determination of the optimal reinforcement area that meets the design load parameter requirements through iterative calculation includes: Set the initial reinforcement calculation layer k and m ,in k The calculated stratigraphic level is on the pressure side. m The calculation layer is on the tension side; Based on the current computational level k and m Calculate the area of ​​the compression side reinforcement under the current assumed floor level. and the corresponding total area of ​​the compression reinforcement. Total area of ​​tensile reinforcement ; Determine the area of ​​the compression side reinforcement in the current calculation layer. Are all areas smaller than the maximum area of ​​steel reinforcement that can be configured in each floor? A szmax If the condition is met, the iterative calculation ends, and the corresponding... and The final reinforcement area is determined and output. If it is not satisfied, the calculated reinforcement layer is adjusted. k and m And continue the iterative calculation.

12. The method for designing reinforcement of concrete cross-sections according to claim 11, characterized in that, Based on the current computing level k and m Calculate the total area of ​​compressive reinforcement under the current assumed floor level. Total area of ​​tensile reinforcement Under the current assumed stratum, for each calculation point Perform a traversal calculation to obtain the corresponding area of ​​the compression side reinforcement. and the area of ​​tension side reinforcement and the corresponding total area of ​​the compression reinforcement. Total area of ​​tensile reinforcement ; Determine the optimal strain distribution point The corresponding calculation result output is the area of ​​the compression side reinforcement under the current assumed layer. and the total area of ​​the compression reinforcement Total area of ​​tensile reinforcement .

13. The concrete cross-section reinforcement design method according to claim 12, characterized in that, Determining the optimal strain distribution point include: For asymmetric reinforcement cases where the areas of the compression and tension reinforcements are different, in all In the calculation results, take Minimum value corresponding to Let the optimal strain distribution point be denoted as . The optimal strain distribution point corresponds to , The value is used as the area of ​​the compression side reinforcement of the cross section. Area of ​​tension-bearing reinforcement ; For symmetrical reinforcement with identical areas of compression and tension reinforcement, in all In the calculation results, take | The minimum value corresponds to Let the optimal strain distribution point be denoted as . The optimal strain distribution point corresponds to , The larger value is used as the area of ​​the compression side reinforcement in the cross section. and the area of ​​tension side reinforcement .

14. The method for designing reinforcement of concrete cross-sections according to claim 11, characterized in that, The adjustment of the calculated layer of the reinforcing steel k and m The iterative calculation continues, including: Calculate the absolute value of the difference between the total area of ​​the compression side and the total area of ​​the tension side in the two iterations, and determine whether they meet the termination condition. If they do not meet the condition, continue the iteration calculation; if they do meet the condition, stop the calculation.

15. A concrete cross-section reinforcement design system, characterized in that, include: The modeling module is used to build a cross-sectional stress model that includes the strain distribution of multiple layers of steel bars based on the plane section assumption. The analysis module is used to calculate the strain scaling parameters of the stress model of the cross section. The stress at each layer of reinforcing steel and the bending moment about the centroidal axis of the cross section provided by a unit area of ​​reinforcing steel, as well as the height of the concrete in the compression zone and the axial force and bending moment about the centroidal axis of the cross section provided therein, wherein the strain proportionality parameter Defined as the ratio of the strain of the outermost layer of steel reinforcement on the tension side of the cross section to the ultimate compressive strain of the concrete at the compression edge; The reinforcement calculation module is used to determine the optimal reinforcement area that meets the design load parameters based on the static equilibrium condition of the section and according to the stress of each layer of steel reinforcement and the bending moment about the centroidal axis of the section provided by the steel reinforcement per unit area, as well as the axial force and bending moment about the centroidal axis of the section provided by the concrete in the compression zone.

16. An electronic device, characterized in that, It includes a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the processor executes the computer program to implement the steps of the concrete cross-section reinforcement design method as described in any one of claims 1 to 14.

17. A storage medium, characterized in that, The storage medium stores a computer program that, when executed by a processor, implements the steps of the concrete cross-section reinforcement design method as described in any one of claims 1 to 14.

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