Compression resistance calculation method for local component of fabricated retaining wall
By establishing a model of a local component of the retaining wall, calculating the vertical normal stress and friction, and optimizing the design of the bearing area of the local component, the problem of local pressure instability of the lower component of the prefabricated retaining wall was solved, thus improving the safety and durability of the structure.
Patent Information
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- CHINA RAILWAY 23RD BUREAU GRP NO 1 ENG
- Filing Date
- 2025-12-26
- Publication Date
- 2026-05-19
AI Technical Summary
Existing design methods do not take into account the risk of localized instability under pressure in the lower components of prefabricated retaining walls, leading to cracks and crushing damage in the components.
By establishing a model of a local component of the retaining wall, the normal stress and frictional force perpendicular to the retaining wall are calculated. Multiple calculation models are constructed to determine the bearing area of the local component, and comparisons and adjustments are made to optimize the design.
It reduces cracks or crushing damage to the bottom components of the retaining wall caused by excessive pressure, thus improving the safety and durability of the retaining wall structure.
Smart Images
Figure CN122065709A_ABST
Abstract
Description
Technical Field
[0001] This invention relates to the field of civil engineering technology, and in particular to a method for calculating the compressive strength of partial components of a prefabricated retaining wall. Background Technology
[0002] Prefabricated retaining walls are a common structural form used in highway, railway, and urban slope protection projects. They are assembled on-site from precast concrete components, offering advantages such as rapid installation, simple construction procedures, low cost, and ease of subsequent ecological restoration. This type of structure is widely used in slope protection for mountainous highways. However, in actual engineering applications, it has been found that some retaining walls have experienced varying degrees of cracking and crushing damage in their lower components. Analysis indicates that this is mainly due to the fact that existing design methods use the same dimensions for similar components arranged along the wall height, failing to consider the significant differences in active earth pressure at different heights. As the wall height increases, the horizontal earth pressure and vertical compressive stress borne by the bottom components increase significantly, while current design theories do not analyze or verify the compressive performance of local components, leading to an increased risk of localized instability under pressure in the lower components. Summary of the Invention
[0003] The purpose of this invention is to overcome the shortcomings of existing retaining wall design theories that do not consider the risk of local compressive instability of lower components, and to provide a method for calculating the compressive performance of local components of prefabricated retaining walls.
[0004] In a first aspect, the present invention provides a method for calculating the compressive strength of partial components of a prefabricated retaining wall, comprising: Establish partial component models of retaining walls based on different burial depths; The active earth pressure and self-weight of the retaining wall are obtained based on the local component model of the retaining wall. The normal stress perpendicular to the retaining wall is obtained by decomposing the force based on the local component model of the retaining wall. Based on the normal stress perpendicular to the retaining wall, the active earth pressure of the retaining wall, and the self-weight of the retaining wall, a first calculation model is established, in which the first calculation model is used to calculate the friction force. Based on the first calculation model, the active earth pressure and self-weight of the retaining wall are combined to establish a second calculation model, which is used to calculate the normal stress on local components. Based on the second calculation model, the compressive strength of reinforced concrete is calculated simultaneously to obtain the third calculation model, which is used to calculate the bearing area of local components. Substituting the first and second calculation models into the third calculation model yields the fourth calculation model, which represents the relationship between the burial depth of the retaining wall and the bearing area of local components. The bearing area of local components under different retaining wall burial depths was obtained based on the fourth calculation model; The bearing area of local components at different retaining wall burial depths is compared with the bearing area of local components under actual working conditions to generate judgment information. The bearing area of the actual local components is adjusted based on the judgment information.
[0005] Preferably, the self-weight of the retaining wall is a constant, and the active earth pressure of the retaining wall includes: ; in, For active earth pressure, The unit weight of the backfill soil behind the retaining wall. To increase the depth of the retaining wall, This represents the active earth pressure coefficient.
[0006] Preferably, the normal stress perpendicular to the retaining wall includes: ; in, The normal stress is perpendicular to the retaining wall. For active earth pressure, d The angle of friction between the wall back and the backfill. e For the wall back slope angle, For the weight of the retaining wall itself.
[0007] Preferably, the first calculation model includes: ; ; ; in: This is friction.
[0008] Preferably, the second calculation model includes: ; in, This refers to the normal stress experienced by a local component. For active earth pressure, d The angle of friction between the wall back and the backfill. e For the wall back slope angle, To account for the weight of the retaining wall, This is friction.
[0009] Preferably, the third calculation model includes: ; in, For the compressive strength of local components, This refers to the bearing area of a local component.
[0010] Preferably, the fourth model includes: ; in, The unit weight of the backfill soil behind the retaining wall. The height of the retaining wall, The active earth pressure coefficient, For prefabricated retaining walls and soil / rock types known , For prefabricated retaining walls and soil / rock types known .
[0011] Preferably, the determination information includes: When the bearing area of a local component at different retaining wall burial depths is greater than the bearing area of a local component under actual working conditions, the bearing area of the local component under actual working conditions should be increased. When the bearing area of a local component at different retaining wall burial depths is less than the bearing area of the local component under actual working conditions, the bearing area of the local component under actual working conditions shall be kept constant.
[0012] In a second aspect, the present invention provides an electronic device including at least one processor and a memory communicatively connected to the at least one processor; the memory stores instructions executable by the at least one processor, the instructions being executed by the at least one processor to enable the at least one processor to perform the method described above.
[0013] Compared with the prior art, the beneficial effects of the present invention are as follows: 1. This invention provides a method for calculating the compressive strength of local components of a prefabricated retaining wall. By constructing models of local components at different burial depths, and obtaining the normal stress perpendicular to the retaining wall through force decomposition, the method progressively calculates and constructs a relationship between the burial depth of the retaining wall and the bearing area of the local components based on this normal stress. This relationship allows for the determination of the bearing area of the local components at different burial depths. Comparing this bearing area with the bearing area of the local components under actual working conditions facilitates optimization and adjustment of the bearing area under actual working conditions. This provides a basis for the design of local components in prefabricated retaining walls, enabling optimization of component dimensions based on stress distribution. Using this method, the risk of cracking or crushing damage to local components at the bottom of the retaining wall due to excessive pressure can be reduced, improving the overall safety and durability of the retaining wall structure. Attached Figure Description
[0014] Figure 1 This is a schematic diagram of the retaining wall model and the partial component model of the retaining wall in this invention; Figure 2This is a schematic diagram of the stress analysis of a local component of the retaining wall in this invention. Detailed Implementation
[0015] The present invention will now be described in further detail with reference to specific embodiments. However, this should not be construed as limiting the scope of the present invention to the following embodiments; all technologies implemented based on the content of the present invention fall within the scope of the present invention.
[0016] Unless otherwise specified, the use of terms such as "upper," "lower," "left," "right," "center," "inner," and "outer" to indicate orientation or positional relationships in the description of specific embodiments of the present invention is based on the orientation or positional relationships shown in the accompanying drawings, or the orientation or positional relationship in which the product / equipment / device is typically placed during use. These terms are merely for the purpose of facilitating the description of the present invention or simplifying the description in specific embodiments, enabling those skilled in the art to quickly understand the solution, and do not indicate or imply that a particular device / component / element must have a specific orientation, or be constructed and operated in a specific positional relationship. Therefore, they should not be construed as limitations on the present invention.
[0017] Furthermore, the use of terms such as "horizontal," "vertical," "suspended," and "parallel" does not imply that the corresponding device / component / element must be absolutely horizontal, vertical, suspended, or parallel, but rather that it can be slightly tilted or have a deviation. For example, "horizontal" merely means that its direction is more horizontal relative to "vertical," not that the structure must be completely horizontal, but that it can be slightly tilted. Alternatively, it can be simplified to mean that the corresponding device / component / element, when set in a "horizontal," "vertical," "suspended," or "parallel" direction, can have an error / deviation of ±10% relative to the corresponding direction, more preferably within ±8%, more preferably within ±6%, more preferably within ±5%, and more preferably within ±4%. As long as the corresponding device / component / element is within the error / deviation range, it can still achieve its function in the present invention.
[0018] Furthermore, the use of terms such as "first," "second," and "third" in terminology is merely for distinguishing descriptions of identical or similar components and should not be interpreted as emphasizing or implying the relative importance of a particular component.
[0019] Furthermore, in the description of the embodiments of the present invention, "several", "more than", and "a number of" represent at least two. The number can be any number, such as 2, 3, 4, 5, 6, 7, 8, or 9, and can even exceed nine.
[0020] Furthermore, in the description of the technical solution of this invention, unless otherwise explicitly specified / limited / restricted, the terms "set up," "install," "connect," "link," "provided with," "laid out," and "arranged" should be interpreted broadly. For example, they can refer to fixed connections, detachable connections, or integral connections; they can refer to common connection methods in the art, such as welding, riveting, bolting, and threaded connections. Such connections can be mechanical, electrical, or communication connections; they can be direct connections or indirect connections through an intermediate medium; and they can refer to the internal communication between two components.
[0021] Example 1 like Figure 1 and Figure 2 As shown, a method for calculating the compressive strength of partial components of a prefabricated retaining wall is provided. The method includes: Based on the unit weight of the backfill soil and the active earth pressure coefficient of the retaining wall under different burial depths, models of local components of the retaining wall were established. After establishing models of local components of the retaining wall at different burial depths, the active earth pressure of the retaining wall in the model is calculated to obtain the active earth pressure of the retaining wall. The model is then decomposed into forces, and the normal stress perpendicular to the retaining wall is decomposed into the model. The first calculation model is constructed based on the normal stress perpendicular to the retaining wall and the active earth pressure of the retaining wall. The first calculation model is used to calculate the friction force. The first calculation model combines the active earth pressure and self-weight of the retaining wall to establish the second calculation model, which is used to calculate the normal stress on local components. The formula for calculating the strength of reinforced concrete is obtained. The formula for calculating the strength of reinforced concrete is combined with the second calculation model to construct the third calculation model. The third calculation model is used to calculate the bearing area of local components. Substituting the first and second calculation models into the third calculation model yields the fourth calculation model, which represents the relationship between the burial depth of the retaining wall and the bearing area of local components. The bearing area of local components under different retaining wall burial depths was obtained based on the fourth calculation model; The bearing area of local components at different retaining wall burial depths is compared with the bearing area of local components under actual working conditions to generate judgment information. The bearing area of the actual local components is adjusted based on the judgment information.
[0022] In one or more embodiments, the calculation of the active earth pressure on the retaining wall of the model includes: ; in, For active earth pressure, The unit weight of the backfill soil behind the retaining wall. To increase the depth of the retaining wall, This represents the active earth pressure coefficient.
[0023] In one or more embodiments, the normal stress perpendicular to the retaining wall includes: ; in, The normal stress is perpendicular to the retaining wall. For active earth pressure, d The angle of friction between the wall back and the backfill. e For the wall back slope angle, For the weight of the retaining wall itself.
[0024] In one or more implementations, the first computational model includes: ; ; ; in: The local components are subjected to frictional forces from the slope soil. It is the coefficient of friction between the back of the retaining wall and the backfill.
[0025] In one or more embodiments, the second computational model includes: ; in, This refers to the normal stress experienced by a local component. For active earth pressure, d The angle of friction between the wall back and the backfill. e For the wall back slope angle, To account for the weight of the retaining wall, This refers to the frictional force exerted on the local components by the slope soil.
[0026] In one or more embodiments, the third computational model includes: ; ; ; in, For the compressive strength of local components, This refers to the bearing area of a local component.
[0027] In one or more embodiments, the fourth model includes: ; Given: ; And once the type of retaining wall and the type of soil and rock mass are known, and Let it be a constant. , ; We can obtain: ; in, The unit weight of the backfill soil behind the retaining wall. The height of the retaining wall, The active earth pressure coefficient, For prefabricated retaining walls and soil / rock types known , For prefabricated retaining walls and soil / rock types known .
[0028] In one or more embodiments, the determination information includes: When the bearing area of a local component at different retaining wall burial depths is greater than the bearing area of a local component under actual working conditions, the bearing area of the local component under actual working conditions is increased; when the bearing area of a local component at different retaining wall burial depths is less than or equal to the bearing area of a local component under actual working conditions, the bearing area of the local component under actual working conditions is kept unchanged.
[0029] In this embodiment 1, the selected local component is the horizontal beam component near the back of the retaining wall.
[0030] Example 2 The present invention provides an electronic device including at least one processor and a memory communicatively connected to the at least one processor; the memory stores instructions executable by the at least one processor, the instructions being executed by the at least one processor to enable the at least one processor to perform the method of Embodiment 1.
[0031] Example 3 This embodiment is a detailed description of Embodiment 1: Based on the on-site construction conditions, the unit weight of the backfill soil behind the retaining wall and the active earth pressure coefficient and other geotechnical parameters were obtained. Based on the above parameters, local component models of the retaining wall under different retaining wall burial depth conditions were established respectively. After establishing the models for the burial depth of each retaining wall, the active earth pressure on the back of each model is calculated to obtain the active earth pressure value of the retaining wall as the burial depth changes. The stress condition of local components of the retaining wall is decomposed, and the normal stress component perpendicular to the back of the wall is extracted. Based on the mechanical relationship between the vertical normal stress and the active earth pressure, a first calculation model is constructed. The first calculation model is used to characterize the frictional force generated between the back of the wall and the local components. Based on the first calculation model, the active earth pressure and the self-weight of the retaining wall are calculated together to establish the second calculation model. The second calculation model is used to determine the normal stress borne by local components under different burial depths, providing stress input for subsequent compressive performance analysis. The formula for calculating the compressive strength of reinforced concrete is retrieved and combined with the second calculation model to construct a third calculation model; the third calculation model is used to calculate the required bearing area of local components under different stress states. Substituting the first and second calculation models into the third calculation model, a fourth calculation model is derived; the fourth calculation model is used to represent the functional relationship between the burial depth of the retaining wall and the bearing area of local components, thereby obtaining the regular curve of the bearing capacity of local components changing with the burial depth. The bearing area of local components under different burial depths of retaining walls is obtained based on the fourth calculation model, which is used to characterize the theoretical bearing capacity of the components under different burial depth conditions. The bearing area of local components at different burial depths is compared with the existing bearing area under actual engineering conditions. Judgment information is generated based on the differences. The judgment information is used to indicate whether the bearing capacity of the actual component meets the safety requirements. Based on the assessment information, the bearing area of the actual local components is optimized and adjusted: When the theoretical bearing area is greater than the actual bearing area, it indicates that the design should be made to increase the actual bearing area. When the theoretical bearing area is less than or equal to the actual bearing area, the instruction is to keep the actual bearing area unchanged.
[0032] The above description is only a preferred embodiment of the present invention and is not intended to limit the present invention. Any modifications, equivalent substitutions, and improvements made within the spirit and principles of the present invention should be included within the protection scope of the present invention.
Claims
1. A method for calculating the compressive strength of partial components of a prefabricated retaining wall, characterized in that, include: Establish partial component models of retaining walls based on different burial depths; The active earth pressure and self-weight of the retaining wall are obtained based on the local component model of the retaining wall. The normal stress perpendicular to the retaining wall is obtained by decomposing the force based on the local component model of the retaining wall. Based on the normal stress perpendicular to the retaining wall, the active earth pressure of the retaining wall, and the self-weight of the retaining wall, a first calculation model is established, in which the first calculation model is used to calculate the friction force. Based on the first calculation model, the active earth pressure and self-weight of the retaining wall are combined to establish a second calculation model, which is used to calculate the normal stress on local components. Based on the second calculation model, the compressive strength of reinforced concrete is calculated simultaneously to obtain the third calculation model, which is used to calculate the bearing area of local components. Substituting the first and second calculation models into the third calculation model yields the fourth calculation model, which represents the relationship between the burial depth of the retaining wall and the bearing area of local components. The bearing area of local components under different retaining wall burial depths was obtained based on the fourth calculation model; The bearing area of local components at different retaining wall burial depths is compared with the bearing area of local components under actual working conditions to generate judgment information. The bearing area of the actual local components is adjusted based on the judgment information.
2. The method for calculating the compressive strength of partial components of a prefabricated retaining wall according to claim 1, characterized in that, The self-weight of the retaining wall is a constant value, and the active earth pressure on the retaining wall includes: ; in, For active earth pressure, The unit weight of the backfill soil behind the retaining wall. To increase the depth of the retaining wall, This represents the active earth pressure coefficient.
3. The method for calculating the compressive strength of partial components of a prefabricated retaining wall according to claim 2, characterized in that, The normal stress perpendicular to the retaining wall includes: ； in, The normal stress is perpendicular to the retaining wall. For active earth pressure, δ The angle of friction between the wall back and the backfill. ε The angle of inclination of the wall back, For the weight of the retaining wall itself.
4. The method for calculating the compressive strength of partial components of a prefabricated retaining wall according to claim 3, characterized in that, The first calculation model includes: ； ； ; in: For friction, The coefficient of friction between the wall back and the backfill soil.
5. The method for calculating the compressive strength of partial components of a prefabricated retaining wall according to claim 4, characterized in that, The second calculation model includes: ； in, The normal stress is applied to a local component. For active earth pressure, δ The angle of friction between the wall back and the backfill. ε The angle of inclination of the wall back, To compensate for the weight of the retaining wall, This is friction.
6. The method for calculating the compressive strength of partial components of a prefabricated retaining wall according to claim 5, characterized in that, The third calculation model includes: ； in, For the compressive strength of local components, This refers to the bearing area of a local component.
7. The method for calculating the compressive strength of partial components of a prefabricated retaining wall according to claim 6, characterized in that, The fourth model includes: ； in, The unit weight of the backfill soil behind the retaining wall. The height of the retaining wall The active earth pressure coefficient, For prefabricated retaining walls and soil / rock types known , For prefabricated retaining walls and soil / rock types known .
8. The method for calculating the compressive strength of partial components of a prefabricated retaining wall according to claim 7, characterized in that, The judgment information includes: When the bearing area of a local component at different retaining wall burial depths is greater than the bearing area of a local component under actual working conditions, the bearing area of the local component under actual working conditions should be increased. When the bearing area of a local component at different retaining wall burial depths is less than the bearing area of the local component under actual working conditions, the bearing area of the local component under actual working conditions shall be kept constant.
9. An electronic device, characterized in that, It includes at least one processor and a memory communicatively connected to the at least one processor; the memory stores instructions executable by the at least one processor to enable the at least one processor to perform the method of any one of claims 1 to 8.