A method for determining the net distance between anti-slide piles and related products

Abstract

The present invention relates to the field of civil engineering technology, and in particular to a method for determining the clear distance between anti-sliding piles and related products. The method comprises determining the cross-sectional width of the anti-sliding pile and the internal friction angle of the soil between the piles, and calculating the inner side length of the radiation shear zone; determining the central angle of the radiation shear zone, and obtaining the outer side length of the radiation shear zone based on the inner side length of the radiation shear zone; and obtaining the clear distance between piles based on the internal friction angle and the outer side length of the radiation shear zone. The present invention provides a simple, easy-to-use and high-precision method for calculating the clear distance between piles, which overcomes the problems of complex iterative calculation and difficulty in manual operation in the prior art, and can obtain a reasonable clear distance between piles through simple parameter calculation, thereby making the calculation result more accurate.

Description

Technical Field

[0001] The invention relates to the technical field of civil engineering, and in particular to a method for determining a clear distance between anti-slide piles and related products. Background Art

[0002] In landslide control projects, anti-slide piles are a common support structure. By implanting the piles into the stable soil layer below the landslide body or the sliding belt, they can prevent the landslide body from moving further. The layout of anti-slide piles is an important part of landslide support design, and the clear distance between piles is one of the key parameters that determine the effect and cost of pile layout. Reasonable clear distance design between piles can ensure the effective support of the piles on the landslide body and avoid excessive waste of piles.

[0003] Existing design methods usually calculate the reasonable spacing of anti-slide piles through the soil arching effect. The soil arching effect refers to the formation of an arched structure between the soil piles under the constraint of the piles after the landslide body is supported by the anti-slide piles, thereby enhancing the anti-slide ability. There are many studies on the pile spacing design methods based on the soil arching effect, including determining the reasonable pile spacing through mathematical models, finite element simulations or empirical formulas. However, these methods often require iterative calculations or rely on complex software tools, which increases the complexity of the design and is not easy to calculate quickly in engineering practice.

[0004] For example, the existing "Highway Roadbed Design Code" (JTG D30-2015) points out that the pile spacing should be determined based on the principle that the soil between piles does not slide, but does not provide specific recommended values ​​and calculation methods. On the other hand, although the "Railway Roadbed Support Structure Design Code" (TB 10025-2019) stipulates that the spacing between anti-sliding piles should be 5m to 8m, the regulation is still relatively vague and does not provide a specific calculation method. Therefore, in actual engineering, designers need to use complex algorithms provided by journal literature to analyze and calculate various working conditions according to the specific conditions of the project, which increases the design burden. Summary of the invention

[0005] The technical problem to be solved by the present invention is that the existing method for calculating the clear distance between anti-slip piles is complicated, relies on iterative calculation or software tools, is difficult to calculate quickly manually, and lacks accuracy and reliability in some cases. The purpose is to provide a method for determining the clear distance between anti-slip piles and related products, which realizes the calculation of a reasonable clear distance between piles through a simple formula, thereby reducing the calculation complexity while ensuring the calculation accuracy, facilitating engineering designers to quickly determine a reasonable clear distance between piles in the early stage of a project, avoiding the risk of sliding of a landslide body, and reducing the waste of construction materials.

[0006] The present invention is achieved through the following technical solutions:

[0007] A method for determining the clear distance between anti-sliding piles, comprising:

[0008] Determine the cross-sectional width of the anti-slide pile and the internal friction angle of the soil between the piles, and calculate the inner side length of the radiation shear zone;

[0009] Determine the central angle of the radiation shearing zone, and obtain the outer side length of the radiation shearing zone based on the inner side length of the radiation shearing zone;

[0010] Based on the internal friction angle and the outer length of the radiation shear zone, the clear distance between piles is obtained.

[0011] Specifically, the calculation formula for the edge length in the radiation shear zone is: Where b is the width of the pile section, is the internal friction angle.

[0012] Specifically, the calculation formula for the outer edge length of the radiation shear zone is: Where θ is the central angle of the radiation shear zone.

[0013] Specifically, the calculation formula for the clear distance between piles is:

[0014] Furthermore, the lateral constraint of the pile side on the soil extrusion is considered, and the maximum allowable value of the clear distance between piles is determined according to the pile section height h of the anti-slide pile: Where h is the cross-sectional height of the anti-slide pile, D is the clear distance between piles, is the internal friction angle.

[0015] Optionally, obtain different anti-slide pile cross-sectional widths b and different inter-pile soil internal friction angles And calculate the corresponding clear distance D between piles, and obtain the quick calculation formula by fitting:

[0016] Optionally, the central angle of the radiation shearing zone is θ=90°.

[0017] A terminal for determining the clear distance between anti-sliding piles comprises a memory, a processor and a computer program stored in the memory and executable on the processor. When the processor executes the computer program, a method for determining the clear distance between anti-sliding piles as described above is implemented.

[0018] A computer-readable storage medium stores a computer program, and when the computer program is executed by a processor, the method for determining the clear distance between anti-sliding piles as described above is implemented.

[0019] A computer program product includes a computer program / instruction, which, when executed by a processor, implements the method for determining the clear distance between anti-sliding piles as described above.

[0020] Compared with the prior art, the present invention has the following advantages and beneficial effects:

[0021] The present invention provides a method for determining the clear distance between anti-sliding piles, the method comprising determining the cross-sectional width of the anti-sliding pile, the internal friction angle of the soil and the central angle of the radiation shear zone, calculating the inner side length and the outer side length of the radiation shear zone, and calculating the clear distance between the piles based on the internal friction angle and the outer side length of the radiation shear zone.

[0022] The present invention provides a method for calculating the clear distance between piles that is simple, easy to use and has high precision, which overcomes the problems of complex iterative calculation and difficult manual operation in the prior art, and can obtain a reasonable clear distance between piles through simple parameter calculation, thereby making the calculation result more accurate; by establishing the relationship between pile width, pile spacing and internal friction angle, designers can quickly select a reasonable clear distance between piles, avoid material waste caused by over-dense arrangement, and ensure that the soil between piles does not slip, thereby improving the safety and economy of the project. BRIEF DESCRIPTION OF THE DRAWINGS

[0023] The accompanying drawings illustrate exemplary embodiments of the present invention and, together with the description thereof, are used to explain the principles of the present invention. These drawings are included to provide a further understanding of the present invention, and the accompanying drawings are included in and constitute a part of this specification and do not constitute a limitation of the embodiments of the present invention.

[0024] Figure 1 It is a schematic flow chart of a method for determining the clear distance between anti-slide piles according to the present invention.

[0025] Figure 2 Schematic diagram of parameter positions according to the present invention.

[0026] Figure 3 It is a fitting diagram of the relationship between friction angle and clear distance / pile cross-section width according to the present invention. DETAILED DESCRIPTION

[0027] To make the purpose, technical solution and advantages of the present invention more clearly understood, the present invention is further described in detail below in conjunction with the accompanying drawings and implementation methods. It is understood that the specific implementation methods described herein are only used to explain the relevant content, rather than to limit the present invention.

[0028] It should also be noted that, for the convenience of description, only the parts related to the present invention are shown in the drawings.

[0029] In the absence of conflict, the embodiments and features of the embodiments of the present invention may be combined with each other. The present invention will be described in detail below with reference to the accompanying drawings and in combination with the embodiments.

[0030] In order to solve the problem of overly complicated calculation of the net distance between piles, the inventor, based on reverse thinking, assumes that the anti-sliding piles are rigid bodies and believes that the squeezing of the anti-sliding piles by the sliding body (the piles are stationary) and the squeezing of the sliding body by the piles (the sliding body is stationary) are the same. Then, the problem of ensuring that the sliding body is not squeezed out from between the anti-sliding piles is converted into that when the piles squeeze the sliding body, the sliding body soil is not squeezed out from the sides of the piles. In essence, this squeezing is controlled by the mechanical strength of the sliding body (soil).

[0031] Furthermore, the horizontal squeezing of the pile on the sliding body (soil) is rotated 90 degrees and the influence of soil weight is ignored, which can be equivalent to the problem of the rigid strip foundation vertically squeezing the foundation soil.

[0032] Based on the overall shear failure mode of the Prundl foundation, the inventor derived a calculation formula for the foundation soil extrusion width (passive Rankine zone width). Based on a comparative study and analysis with the research results of peer scholars, it was concluded that the extrusion width calculated by the present invention can be used as the allowable value of the clear distance between piles.

[0033] Embodiment 1

[0034] like Figure 1 As shown, a method for determining the clear distance between anti-sliding piles is provided, comprising:

[0035] In the first step, the cross-sectional width of the anti-slide pile and the internal friction angle of the soil between the piles are determined, and the inner side length of the radiation shear zone is calculated.

[0036] The cross-sectional width of the anti-slide pile is usually determined by the engineering design specifications or project requirements. Designers will select the appropriate cross-sectional size based on factors such as the scale of the landslide, the thrust of the landslide, and the material strength of the pile.

[0037] In engineering practice, some common cross-sectional widths of anti-slide piles are suitable for specific soil conditions and engineering requirements. When there are no special requirements, designers can also refer to empirical data from similar projects. If the space at the landslide site is limited or there are other restrictions, such as the presence of underground pipelines or buildings, the cross-sectional width may need to be adjusted according to the actual site conditions.

[0038] The internal friction angle is obtained through indoor geotechnical tests. Common test methods include direct shear test, triaxial test, etc. By applying stress and measuring the deformation and damage of the soil, the strength parameters of the soil are calculated. Generally, the landslide site investigation has included the investigation of the physical and mechanical parameters of the soil, and the internal friction angle is usually listed in the investigation report. In the absence of conditions for field tests, designers can refer to the internal friction angle data under similar soil conditions given in engineering experience and relevant literature.

[0039] The radiation shear zone is the key failure area between the anti-slide pile and the landslide body, reflecting the stress distribution of the soil when the pile interacts with the soil.

[0040] The second step is to determine the central angle of the radiation shearing zone and obtain the outer side length of the radiation shearing zone based on the inner side length of the radiation shearing zone.

[0041] According to the ultimate bearing capacity model of the foundation of Prandell theory, the central angle of the radial shear zone mainly reflects the geometric characteristics of soil sliding failure when the pile applies horizontal pressure to the soil. In the design without other special circumstances, this angle is usually assumed to be 90°, that is, the failure zone is considered to be fan-shaped and divided into two 45° angles.

[0042] However, if special soil conditions or complex external forces are encountered in the project, it may be necessary to determine the central angle through more complex numerical simulation (such as finite element method) or theoretical derivation.

[0043] In the third step, the clear distance between piles is obtained based on the internal friction angle and the outer length of the radiation shear zone.

[0044] By simplifying the mechanical relationship between landslide soil and anti-slide piles and using the stress analysis model of the radiation shear zone, the complex mechanical problem is converted into a series of calculation formulas based on soil parameters and pile cross-section parameters. This ensures that the soil between the piles does not slip while avoiding overly dense pile arrangements, thereby improving the economy and rationality of the design.

[0045] like Figure 2 The various parameters are given and the calculation formulas for each step are explained below.

[0046] The calculation formula for the edge length in the radiation shear zone is: Where b is the cross-sectional width of the pile, which indicates the lateral dimension of the pile and affects the contact area between the pile and the soil; is the internal friction angle, which indicates the shear strength of the soil. The larger the angle, the more difficult it is for the soil to slide.

[0047] The calculation formula for the outer edge length of the radiation shear zone is: Among them, θ is the central angle of the radial shear zone. The outer side length is the outer area to which the landslide body expands after being stressed between piles, reflecting the maximum impact range of soil sliding.

[0048] The calculation formula for the clear distance between piles is:

[0049] By combining the internal friction angle of the soil with the cross-sectional width of the pile, the support effect and sliding range of the anti-slide pile on the soil are obtained. First, the initial contact area between the pile and the soil (inner side length) is calculated, and then by considering the stress area (outer side length) to which the soil expands under the thrust of the landslide, the maximum clear distance between the piles that ensures that the soil does not slip is finally obtained.

[0050] Embodiment 3

[0051] Considering the lateral constraint of soil extrusion from the pile side, the maximum allowable value of the clear distance between piles is determined according to the pile section height h of the anti-slide pile: Where h is the cross-sectional height of the anti-slide pile, D is the clear distance between piles, is the internal friction angle.

[0052] The increase in pile section height can form a stronger vertical constraint on the soil and prevent the soil from sliding between piles. The height of the anti-sliding pile increases the constraint on the soil between piles. The higher the pile, the greater the vertical pressure on the soil, thereby reducing the possibility of soil sliding. Therefore, as the pile section height increases, the clear distance between piles can be further increased to obtain the maximum allowable value of the clear distance between piles, that is, the maximum distance between piles that can be allowed under the additional support provided by the pile section height to the soil.

[0053] In order to quickly calculate the clear distance between piles, obtain different anti-slide pile section widths b and different inter-pile soil internal friction angles. And calculate the corresponding clear distance D between piles, and obtain the quick calculation formula by fitting:

[0054] By fitting the data of different section widths and internal friction angles, the formula simplifies the calculation of the clear distance between piles into a functional relationship. Under different soil conditions and pile sizes, this fitting formula can directly give a reasonable estimate of the clear distance between piles, reducing the complex formula derivation process and improving design efficiency.

[0055] Embodiment 4

[0056] This embodiment provides a specific case and verifies the formulas in Embodiment 1, Embodiment 2 and Embodiment 3.

[0057] In the book "Analysis of Reasonable Spacing of Anti-slide Piles", Sun Chengji analyzed the calculation formula of reasonable spacing of piles based on the example of Maga landslide. Here, the landslide is also used as an example for analysis to evaluate and demonstrate the rationality of the method proposed in this invention.

[0058] Maga landslide is located at K253+539~K254+173 of Maga Chezhan, Liupanshui hub. The measuring section is covered with clay from the residual slope layer of the Quaternary system, and the underlying bedrock is the Huanglong Group limestone and dolomite of the Middle Carboniferous System. A sliding surface has been formed on the upper part of the landslide, and the lower part slides along the bedrock. The measured thrust of the landslide is Q=1023.3kN / m. According to the indoor geotechnical test, the strength index of the landslide soil is: cohesion c=44.3kPa, internal friction angle Soil weight. This project uses anti-slide piles for support. The pile section width is b = 2m, the height is h = 2.5m, and the pile length is 10m. The unit landslide thrust on the anti-slide pile is q = 102.3kpa. The actual pile clearance value of this project is 6m. The friction angle of the pile-soil contact surface is The net distance between piles calculated by Sun Chengji's method is 5.92m. For the sake of comparison, the results of some pile spacing calculation methods proposed by other scholars are listed in the table below.

[0059]

[0060]

[0061] When the method of the present invention is used for calculation, the inner side length of the radiation shear zone is r0=1.79m, the outer side length is r=3.37m, the reasonable clear distance between piles without considering the pile side constraint is D=5.59m, and the maximum allowable value considering the pile side constraint is D′=9.29m.

[0062] Compared with the calculation results of other scholars, the reasonable clear distance between piles of 5.59m without considering the pile side constraint is very close to that of Sun Chengji's method (5.92m), and the maximum allowable value of 9.29m considering the pile side constraint is very close to that of Qiu Ziyi's method.

[0063] Both values ​​are within the range of the calculation results of other scholars based on different soil arch theories. From the perspective of anti-sliding engineering, appropriate conservative considerations should be made. It is recommended that the clear distance between piles without considering the side constraint of the piles be used as the standard for determining the clear distance between piles.

[0064] Figure 3 A fitting diagram of the specific internal friction angle-clearance distance / pile section width relationship is given to verify the fitting formula.

[0065] Embodiment 5

[0066] A terminal for determining the clear distance between anti-sliding piles comprises a memory, a processor and a computer program stored in the memory and executable on the processor. When the processor executes the computer program, a method for determining the clear distance between anti-sliding piles as described above is implemented.

[0067] The memory can be used to store software programs and modules. The processor executes various functional applications and data processing of the terminal by running the software programs and modules stored in the memory. The memory can mainly include a program storage area and a data storage area, wherein the program storage area can store an operating system, an execution program required for at least one function, etc.

[0068] The data storage area can store data created according to the use of the terminal, etc. In addition, the memory may include a high-speed random access memory, and may also include a non-volatile memory, such as at least one disk storage device, a flash memory device, or other volatile solid-state storage devices.

[0069] A computer-readable storage medium stores a computer program, and when the computer program is executed by a processor, a method for determining the clear distance between anti-sliding piles as described above is implemented.

[0070] Without loss of generality, computer readable media may include computer storage media and communication media. Computer storage media include volatile and non-volatile, removable and non-removable media implemented in any method or technology for storing information such as computer readable instruction data structures, program modules or other data. Computer storage media include RAM, ROM, EPROM, EEPROM, flash memory or other solid-state storage technology, CD-ROM, DVD or other optical storage, cassettes, magnetic tapes, disk storage or other magnetic storage devices. Of course, those skilled in the art will appreciate that computer storage media are not limited to the above. The above-mentioned system memory and mass storage devices can be collectively referred to as memory.

[0071] A computer program product includes a computer program / instruction, which implements the above method for determining the clear distance between anti-sliding piles when executed by a processor.

[0072] A computer program product includes a computer program or set of instructions for performing specific tasks or implementing specific functions. These programs or instructions are designed to be executed by a processor to implement a series of predefined steps or operations. The program product may be stored in various forms of computer storage media, such as memory, hard disk, solid-state drive, optical disk or other forms of digital storage devices. It may exist in the form of compiled binary code or in the form of scripts or bytecodes that can be executed by an interpreter. The program product uses carefully designed algorithms and logical instructions to enable the processor to process data in a specific order and manner to complete various functions such as data analysis, user interaction, device control, etc.

[0073] In the description of this specification, the description with reference to the terms "one embodiment / method", "some embodiments / methods", "example", "specific example", or "some examples" etc. means that the specific features, structures, materials or characteristics described in conjunction with the embodiment / method or example are included in at least one embodiment / method or example of the present application. In this specification, the schematic representations of the above terms do not necessarily refer to the same embodiment / method or example. Moreover, the specific features, structures, materials or characteristics described may be combined in any one or more embodiments / methods or examples in a suitable manner. In addition, those skilled in the art may combine and combine the different embodiments / methods or examples described in this specification and the features of the different embodiments / methods or examples, unless they are contradictory.

[0074] In addition, the terms "first" and "second" are used for descriptive purposes only and should not be understood as indicating or implying relative importance or implicitly indicating the number of the indicated technical features. Therefore, the features defined as "first" and "second" may explicitly or implicitly include at least one of the features. In the description of this application, the meaning of "plurality" is at least two, such as two, three, etc., unless otherwise clearly and specifically defined.

[0075] It should be understood by those skilled in the art that the above embodiments are only for the purpose of clearly illustrating the present invention, and are not intended to limit the scope of the present invention. For those skilled in the art, other changes or modifications may be made based on the above invention, and these changes or modifications are still within the scope of the present invention.

Claims

1. A method for determining the clear distance between anti-sliding piles, characterized in that: include: Determine the cross-sectional width b of the anti-slide pile and the internal friction angle of the soil between the piles, and calculate the inner side length of the radiation shear zone; Determine the central angle of the radiation shearing zone, and obtain the outer side length of the radiation shearing zone based on the inner side length of the radiation shearing zone; Based on the internal friction angle of the soil between piles and the outer length of the radiation shear zone, the clear distance between piles is obtained.

2. The method for determining the clear distance between anti-slide piles according to claim 1, characterized in that: The calculation formula for the edge length in the radiation shear zone is: Where b is the width of the pile section, is the internal friction angle of soil between piles.

3. The method for determining the clear distance between anti-sliding piles according to claim 2, characterized in that: The calculation formula for the outer edge length of the radiation shear zone is: Where θ is the central angle of the radiation shear zone.

4. The method for determining the clear distance between anti-slide piles according to claim 3, characterized in that: The calculation formula for the clear distance between piles is:

5. The method for determining the clear distance between anti-slide piles according to claim 1, characterized in that: Considering the lateral constraint of soil extrusion from the pile side, the maximum allowable value of the clear distance between piles is determined according to the pile section height h of the anti-slide pile: Where h is the cross-sectional height of the anti-slide pile, D is the clear distance between piles, is the internal friction angle of soil between piles.

6. The method for determining the clear distance between anti-slide piles according to claim 1, characterized in that: Obtain different cross-sectional widths b of anti-slide piles and different internal friction angles of soil between piles And calculate the corresponding clear distance D between piles, and obtain the quick calculation formula by fitting:

7. The method for determining the clear distance between anti-slide piles according to claim 3, characterized in that: The central angle θ of the radiation shearing zone is 90°.

8. A terminal for determining the clear distance between anti-sliding piles, comprising a memory, a processor, and a computer program stored in the memory and executable on the processor, characterized in that: When the processor executes the computer program, a method for determining the clear distance between anti-sliding piles according to any one of claims 1 to 7 is implemented.

9. A computer-readable storage medium storing a computer program, characterized in that: When the computer program is executed by a processor, a method for determining the clear distance between anti-sliding piles according to any one of claims 1 to 7 is implemented.

10. A computer program product comprising a computer program / instructions, characterized in that When the computer program / instruction is executed by a processor, a method for determining the clear distance between anti-sliding piles as described in any one of claims 1 to 7 is implemented.

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