Method and device for calculating safety factor of h-type anti-slide pile, equipment and medium

Abstract

The application provides a kind of h-shaped anti-slide pile safety factor calculation method, device, equipment and medium, it is related to slope safety technical field, including obtaining the size of anti-slide pile;Obtain the initial value of flexural curve coefficient, the bending moment and shear force of the upper end point of the post-pile load section are calculated based on the size of anti-slide pile and the initial value of flexural curve coefficient;According to the bending moment and shear force of the upper end point of the post-pile load section, the first displacement and the second displacement are calculated, and the flexural curve coefficient is calculated and updated using the first displacement and the second displacement;When the updated flexural curve coefficient is within the error range, the current bending moment and shear force of the upper end point of the post-pile load section are taken as the critical bending moment and critical shear force, and the maximum value of the first displacement and the second displacement is taken as the critical displacement;The safety factor of anti-slide pile is calculated based on the critical bending moment, critical shear force and critical displacement of the post-pile, and the safety factor of the slope is obtained according to the deformation characteristics of the h-shaped anti-slide pile.

Description

Technical Field

[0001] This invention relates to the field of slope safety technology, and more specifically, to a method, apparatus, equipment, and medium for calculating the safety factor of H-type anti-slide piles. Background Technology

[0002] H-shaped anti-slide piles are a common method for slope reinforcement, suitable for shallow and medium-thick landslides, and are a primary measure for anti-slide treatment. Currently, safety analyses of H-shaped anti-slide piles often focus on static earth pressure, assuming the safety factor after reinforcement is calculated based on the fixed forces on both sides of the soil. This safety factor is considered the same as the design safety factor for the H-shaped anti-slide piles. However, the displacement of H-shaped anti-slide piles is closely related to soil resistance. Existing safety analyses of slopes reinforced with H-shaped anti-slide piles are not rigorous enough and cannot effectively analyze the impact of displacement on slope safety. Summary of the Invention

[0003] The purpose of this invention is to provide a method, apparatus, equipment, and medium for calculating the safety factor of H-type anti-slide piles, in order to improve the aforementioned problems. To achieve the above objective, the technical solution adopted by this invention is as follows:

[0004] Firstly, this application provides a method for calculating the safety factor of an h-type anti-slide pile, including:

[0005] Obtain the dimensions of the anti-slide pile, wherein the anti-slide pile is an H-type anti-slide pile;

[0006] The initial value of the deflection curve coefficient is obtained, and the bending moment and shear force at the upper end of the loaded section of the pile are calculated based on the size of the anti-slide pile and the initial value of the deflection curve coefficient.

[0007] The first displacement and the second displacement are calculated based on the bending moment and shear force at the upper end of the loaded section of the rear pile. The first displacement is the displacement at the upper end of the loaded section of the rear pile, and the second displacement is the displacement at the lower end of the loaded section of the rear pile. The deflection curve coefficient is calculated and updated using the first displacement and the second displacement.

[0008] If the updated deflection curve coefficient is within the error range, the current bending moment and shear force at the upper end of the loaded section of the rear pile are taken as the critical bending moment and critical shear force, and the maximum value of the first displacement and the second displacement is taken as the critical displacement.

[0009] Obtain the current bending moment, current shear force, and current displacement of the rear pile. Calculate the safety factor of the anti-slide pile based on the current bending moment, current shear force, current displacement, critical bending moment, critical shear force, and critical displacement of the rear pile.

[0010] Secondly, this application also provides a safety factor calculation device for h-type anti-slide piles, comprising:

[0011] Acquisition module: used to acquire the dimensions of the anti-slide piles, wherein the anti-slide piles are H-type anti-slide piles;

[0012] The first calculation module is used to obtain the initial value of the deflection curve coefficient and calculate the bending moment and shear force at the upper end of the loaded section of the pile based on the size of the anti-slide pile and the initial value of the deflection curve coefficient.

[0013] Update module: used to calculate the first displacement and the second displacement based on the bending moment and shear force at the upper end of the loaded section of the rear pile. The first displacement is the displacement at the upper end of the loaded section of the rear pile, and the second displacement is the displacement at the lower end of the loaded section of the rear pile. The first displacement and the second displacement are used to calculate and update the deflection curve coefficient.

[0014] Judgment module: When the updated deflection curve coefficient of the rear pile is within the error range, the current bending moment and shear force at the upper end of the loaded section of the rear pile are taken as the critical bending moment and critical shear force, and the maximum value of the first displacement and the second displacement is taken as the critical displacement.

[0015] The second calculation module is used to obtain the current bending moment, current shear force, and current displacement of the rear pile, and to calculate the safety factor of the anti-slide pile based on the current bending moment, current shear force, current displacement, critical bending moment, critical shear force, and critical displacement of the rear pile.

[0016] Thirdly, this application also provides a safety factor calculation device for h-type anti-slide piles, comprising:

[0017] Memory, used to store computer programs;

[0018] A processor is used to execute the computer program to implement the steps of the method for calculating the safety factor of the h-type anti-slide pile.

[0019] Fourthly, this application also provides a readable storage medium storing a computer program, which, when executed by a processor, implements the steps of the above-described method for calculating the safety factor based on h-type anti-slide piles.

[0020] The beneficial effects of this invention are as follows:

[0021] This invention analyzes the safety factor of H-shaped anti-slide piles by examining their deformation characteristics and uses it as the safety factor of the slope. It can not only reflect the safety factor of the slope after the H-shaped anti-slide piles are reinforced in real time, but also fully reflect the effect of the cross-sectional dimensions and material properties of the H-shaped anti-slide piles in bearing the landslide thrust. It also has both engineering rationality and calculation rationality.

[0022] Other features and advantages of the invention will be set forth in the following description, and will be apparent in part from the description, or may be learned by practicing embodiments of the invention. The objects and other advantages of the invention may be realized and obtained by means of the structures particularly pointed out in the written description, claims, and drawings. Attached Figure Description

[0023] To more clearly illustrate the technical solutions of the embodiments of the present invention, the accompanying drawings used in the embodiments will be briefly introduced below. It should be understood that the following drawings only show some embodiments of the present invention and should not be regarded as a limitation on the scope. For those skilled in the art, other related drawings can be obtained based on these drawings without creative effort.

[0024] Figure 1 This is a schematic diagram of the safety factor calculation method for the h-type anti-slide pile described in this embodiment of the invention;

[0025] Figure 2 This is the mechanical calculation model of the h-shaped anti-slide pile in the embodiment of the present invention;

[0026] Figure 3 This is a schematic diagram of the displacement of the anchorage section in an embodiment of the present invention;

[0027] Figure 4 This is an equivalent force transformation diagram of the cantilever end in an embodiment of the present invention;

[0028] Figure 5 This is a model diagram of the overall structure constrained by the displacement method in an embodiment of the present invention;

[0029] Figure 6 This is a schematic diagram illustrating the force method for solving parabolic loads in an embodiment of the present invention.

[0030] Figure 7 This is a schematic diagram of the safety factor calculation device for the h-type anti-slide pile described in this embodiment of the invention;

[0031] Figure 8 This is a schematic diagram of the safety factor calculation device for the h-type anti-slide pile described in this embodiment of the invention.

[0032] Marked in the image:

[0033] 800. Safety factor calculation device for H-type anti-slide piles; 801. Processor; 802. Memory; 803. Multimedia component; 804. I / O interface; 805. Communication component. Detailed Implementation

[0034] To make the objectives, technical solutions, and advantages of the embodiments of the present invention clearer, the technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some, not all, of the embodiments of the present invention. The components of the embodiments of the present invention described and shown in the accompanying drawings can generally be arranged and designed in various different configurations. Therefore, the following detailed description of the embodiments of the present invention provided in the accompanying drawings is not intended to limit the scope of the claimed invention, but merely to illustrate selected embodiments of the invention. All other embodiments obtained by those skilled in the art based on the embodiments of the present invention without inventive effort are within the scope of protection of the present invention.

[0035] It should be noted that similar reference numerals and letters in the following figures indicate similar items; therefore, once an item is defined in one figure, it does not need to be further defined and explained in subsequent figures. Furthermore, in the description of this invention, terms such as "first," "second," etc., are used only to distinguish descriptions and should not be construed as indicating or implying relative importance.

[0036] Example 1:

[0037] This embodiment provides a method for calculating the safety factor of an h-type anti-slide pile.

[0038] See Figure 1 The figure shows that this method includes:

[0039] S1. Obtain the dimensions of the anti-slide pile, which is an H-type anti-slide pile, and establish a mechanical model based on the dimensions of the anti-slide pile, such as... Figure 2 , Figure 3 As shown, Figure 2 These are anti-slide piles located above the slip surface. Figure 3 The anti-slip piles are located below the sliding surface. AE is the rear pile, BE is the cantilever section of the rear pile, AB is the load-bearing section of the rear pile, CD is the front pile, AF is the anchoring section, point A is the lower end of the load-bearing section of the rear pile, point B is the upper end of the load-bearing section of the rear pile, and point C is the upper end of the front pile.

[0040] h1 is the height of BE; h2 is the height of AB; h3 is the height of CD;

[0041] q1 is the upper load value of the front pile bearing the landslide thrust, and q2 is the lower load value of the front pile bearing the landslide thrust.

[0042] q3 is the upper trapezoidal load value of the soil resistance of the pile, and q4 is the lower trapezoidal load value of the soil resistance of the pile.

[0043] q5 is the upper load value of the front pile bearing the thrust, and q6 is the lower load value of the front pile bearing the thrust.

[0044] q7 is the upper trapezoidal load value of the soil resistance of the front pile, and q8 is the lower trapezoidal load value of the soil resistance of the front pile.

[0045] The values ​​q1, q2, q5, q6, q7, and q8 can be obtained through theoretical calculations.

[0046] Q1 represents the soil resistance of the pile under parabolic load;

[0047] Q2 is the thrust of the soil in front of the pile under parabolic load;

[0048] Q3 represents the soil resistance of the front pile under parabolic load.

[0049] The model established in this embodiment makes the following calculation assumptions:

[0050] (i) Soil resistance is determined by either the subgrade coefficient method or static earth pressure;

[0051] (ii) The deformation of the loaded section of the pile is approximately linear;

[0052] (iii) No new bending moment is generated in the tie beam, that is, the tie beam is not a diagonal member.

[0053] Based on the above embodiments, the method further includes:

[0054] S2. Obtain the initial value of the deflection curve coefficient, and calculate the bending moment and shear force at the upper end of the loaded section of the pile based on the size of the anti-slide pile and the initial value of the deflection curve coefficient.

[0055] Specifically, step S2 includes:

[0056] S21. The resultant force of soil deformation is calculated using the initial value of the deflection curve coefficient and the dimensions of the anti-slide pile;

[0057] Specifically, step S21 includes:

[0058] S211. Construct the deflection curve equation using the initial values ​​of the deflection curve coefficients;

[0059] Specifically, assuming the deformation of segment AB is approximately linear, the pile depth is y1, and the deformation is x1, then its deflection curve equation is:

[0060] y1 = ax1 - b; (1)

[0061] In the formula, a and b are both deflection curve coefficients. Let the initial value of a be a0 = +∞ and the initial value of b be b0 = 0.

[0062] S212. Based on the Winkler foundation model and the dimensions of the anti-slide piles, the horizontal reaction coefficient is calculated using the m-method.

[0063] kh =m(h2-y1); (2)

[0064] In the formula, k h This represents the horizontal reaction coefficient, where m is the proportionality coefficient of the soil's horizontal reaction coefficient (kN / m). 4 ).

[0065] S213. The soil resistance Q1 of the rear pile under parabolic load is calculated based on the deflection curve equation and the horizontal reaction coefficient.

[0066]

[0067] Rewriting equation (3) in the form of a linear equation in two variables yields:

[0068] Q1 = A1y1 2 +B1y1+C1;(4)

[0069] in:

[0070]

[0071] In the formula, A1, B1, and C1 are all equation coefficients.

[0072] S214. Integrating the soil resistance of the rear pile yields the resultant force of the resistance generated by soil deformation:

[0073]

[0074] In the formula, F1 represents the resultant resistance force generated by soil deformation.

[0075] S22. Calculate the resultant earth pressure under the limit equilibrium state based on the dimensions of the anti-slide pile;

[0076]

[0077] In the formula, F 1l Let K represent the resultant earth pressure under the limit equilibrium state, where γ is the unit weight of the soil, and K is the weight of the soil. p This is the passive earth pressure coefficient.

[0078] S23. The trapezoidal load value of the soil resistance of the rear pile is calculated based on the resultant force of the resistance generated by the soil deformation and the resultant force of the earth pressure under the limit equilibrium state. The trapezoidal load value of the soil resistance of the rear pile includes the upper trapezoidal load value q3 and the lower trapezoidal load value q4 of the soil resistance of the rear pile.

[0079] Comparing F1 and F 1l Size:

[0080] If F 1l If the values ​​are smaller, then let A1, B1, and C1 all be 0, and q3 = q4 = F.1l ;

[0081] Otherwise, let q3 = q4 = 0.

[0082] S24. Calculate the concentrated force and equivalent bending moment at the upper end of the load-bearing section of the pile based on the dimensions of the anti-slide pile;

[0083] Specifically, such as Figure 4 As shown, the h-shaped pile is completely equivalent to a rigid frame ABCD, that is, Figure (a) is transformed into Figure (b). The load on the BE segment is regarded as an external load on the rigid frame ABCD, and the concentrated force at the upper end of the loaded segment of the rear pile and the equivalent bending moment at the upper end of the loaded segment of the rear pile are obtained:

[0084]

[0085] In the formula, F′ represents the concentrated force at point B, and M′ represents the equivalent bending moment at point B.

[0086] S25. Determine three nodes of the anti-slide pile, wherein the three nodes are respectively located at the corner of the upper end of the loaded section of the rear pile, the corner of the upper end of the front pile of the anti-slide pile, and the horizontal displacement of the upper end of the front pile of the anti-slide pile, that is:

[0087] First node: The corner at point B;

[0088] Second node: The corner at point C;

[0089] Third node: At the horizontal displacement of point C;

[0090] The displacement control equations for the three nodes are constructed using the displacement method.

[0091] Specifically, such as Figure 5 As shown, the governing equations are:

[0092]

[0093] In the formula, k 11 k is the reaction force at the first node caused by the unit displacement Δ1. 12 Let be the reaction force at the second node caused by a unit displacement Δ2, and the reaction force at the third node caused by a unit displacement Δ3; similarly, k 21 This is the reaction force at the first node caused by a unit displacement Δ2, and so on…

[0094] R 1p For a given load F P The reaction torque acting at the first node, R 2p For a given load F P The reaction torque acting at the second node, R 3p For a given load F PThe reaction torque acting at the third node;

[0095] Δ1 is the displacement of the first node, Δ2 is the displacement of the second node, and Δ3 is the displacement of the third node.

[0096] S26. The displacements of the three nodes are calculated based on the trapezoidal load value of the soil resistance of the rear pile, the concentrated force at the upper end of the loaded section of the rear pile, the equivalent bending moment at the upper end of the loaded section of the rear pile, and the displacement control equation.

[0097] Specifically, step S26 includes:

[0098] S261. The first reaction moment of the three nodes is calculated based on the trapezoidal load value of the soil resistance of the rear pile, the concentrated force at the upper end of the rear pile, and the equivalent bending moment at the upper end of the rear pile. The first reaction moment is the reaction moment of the node under the trapezoidal load.

[0099]

[0100] In the formula, R 1p ′ represents the first reaction torque at the first node, R 2p ′ represents the first reaction moment at the second node, R 3p ' represents the first reaction moment at the third node; q1', q″, q3', and q″' are all calculation parameters, and their calculation formulas are as follows:

[0101]

[0102] S262. Based on the initial value of the deflection curve coefficient and the dimensions of the anti-slide pile, the second reaction moment of the three nodes of the rear pile is calculated. The second reaction moment is the reaction moment of the node under parabolic load. The specific calculation process is as follows:

[0103] Please see Figure 6 Construct the force method equations:

[0104]

[0105] In the formula, δ 11 δ represents the displacement of the basic structure along the direction of the first node under the action of a unit force. 12 δ represents the displacement of the second node along the direction of the first node in the basic structure under the action of a unit force. 21 This represents the displacement of the first node along the direction of the second node in the basic structure under the action of a unit force, and so on..., Δ 1P Δ represents the displacement produced by the load P acting on the first node of the basic structure along the direction of the first node. 2P This represents the displacement produced by the load P acting on the second node of the basic structure along the direction of the first node, where the basic structure represents... Figure 5The overall structure; X1 represents the support reaction force at point B, and X2 represents the bending moment of segment AB under parabolic load.

[0106] in:

[0107]

[0108] In the formula, E is the elastic modulus of the pile, and I2 is the moment of inertia of the pile body.

[0109] in:

[0110]

[0111] In the formula, D1 and E1 are both calculation parameters, and their calculation formulas are as follows:

[0112]

[0113] Therefore, X2 can be calculated according to equations (13) and (14).

[0114] Similarly, the bending moments X1′ and X2′ of segment CD under the action of Q2 and Q3 can be obtained using the force method. From this, the second reaction moments at the three nodes can be obtained:

[0115]

[0116] In the formula, R 1p "" represents the second reaction moment at the first node, R 2p "" represents the second reaction moment at the second node, R 3p "" indicates the second reaction moment at the third node.

[0117] S263. Substitute the first and second reaction moments of the three nodes into the displacement control equations to calculate the displacements of the three nodes respectively;

[0118] Specifically, the calculation process is as follows:

[0119] For the displacement method equations, we have:

[0120]

[0121] The coefficients of the basic structure under the action of displacement at each node are calculated as follows:

[0122]

[0123]

[0124]

[0125] In the formula, I3 is the moment of inertia of the front pile.

[0126] The displacements Δ1, Δ2 and Δ3 of the three nodes can be calculated according to equations (19) to (20). The expressions for Δ1, Δ2 and Δ3 will not be described in detail here.

[0127] S27. The bending moment and shear force at the upper end of the loaded section of the rear pile are calculated from the displacements of the three nodes, as follows:

[0128]

[0129]

[0130] In the formula, This represents the bending moment at point B. This represents the shear force at point B.

[0131] Based on the above embodiments, the method further includes:

[0132] S3. Calculate the first displacement and the second displacement based on the bending moment and shear force at the upper end of the loaded section of the rear pile. The first displacement is the displacement at the upper end of the loaded section of the rear pile, and the second displacement is the displacement at the lower end of the loaded section of the rear pile. Calculate and update the deflection curve coefficient using the first displacement and the second displacement.

[0133] Specifically, step S3 includes:

[0134] S31. The bending moment and shear force at the lower end of the load-bearing section of the pile are calculated based on the bending moment and shear force at the upper end of the load-bearing section of the pile.

[0135] Specifically, when y1 = 0,

[0136] In the formula, M A Q represents the bending moment at point A. A This represents the shear force at point A.

[0137] S32. The displacements of the upper and lower ends of the load-bearing section of the rear pile are calculated from the bending moment and shear force at the lower end of the load-bearing section of the rear pile.

[0138] Specifically, the displacement of point A is calculated based on the boundary conditions at point F.

[0139] (i) When point F is a fixed end, the displacement of point A is:

[0140]

[0141] In the formula, x A This represents the displacement of point A. All values ​​are influence function values ​​of the k-method, and β represents the deformation coefficient of the anti-slide pile.

[0142] (ii) When point F is the hinged end, the displacement of point A is:

[0143]

[0144] (iii) When point F is a free end, the displacement of point A is:

[0145]

[0146] Therefore, x can be calculated. B =Δ3+x A ;

[0147] S33. Substitute the displacement of the upper end point of the loaded section of the rear pile and the displacement of the lower end point of the loaded section of the rear pile into the deflection curve equation to calculate the updated deflection curve coefficient.

[0148]

[0149] The updated deflection curve coefficients a1 and b1 can be calculated as follows:

[0150]

[0151] Based on the above embodiments, the method further includes:

[0152] S4. When the updated deflection curve coefficient is within the error range, the current bending moment and shear force at the upper end of the loaded section of the rear pile are taken as the critical bending moment and critical shear force, and the maximum value of the first displacement and the second displacement is taken as the critical displacement.

[0153] Specifically, determining whether the updated deflection curve coefficients are within the error range includes:

[0154] Calculate the first and second error precisions of the updated deflection curve coefficients;

[0155]

[0156] In the formula, θ represents the first error precision, and μ represents the second error precision.

[0157] If the first error precision is less than the first preset precision discrimination threshold and the second error precision is less than the second preset precision discrimination threshold, then the updated deflection curve coefficient is within the error range; preferably, the first preset precision discrimination threshold is 0.1% and the second preset precision discrimination threshold is 0.1%.

[0158] If the updated deflection curve coefficients are outside the error range, the first and second displacements are repeatedly calculated based on the deflection curve coefficients a1 and b1, and the deflection curve coefficients are calculated and updated using the first and second displacements until the deflection curve coefficients are within the error range.

[0159] Based on the above embodiments, the method further includes:

[0160] S5. Real-time acquisition of the current bending moment, current shear force, and current displacement of the rear pile, and calculation of the safety factor of the anti-slide pile based on the current bending moment, current shear force, current displacement, critical bending moment, critical shear force, and critical displacement of the rear pile.

[0161] Specifically, step S5 includes:

[0162] S51. Calculate the first ratio of the current bending moment to the critical bending moment, the second ratio of the current shear force to the critical shear force, and the third ratio of the current shear force to the critical shear force, respectively;

[0163] S52. Compare the first ratio, the second ratio, and the third ratio to obtain the smallest ratio;

[0164] S53. The minimum ratio is taken as the safety factor K of the anti-slide pile. s .

[0165] Based on the above embodiments, this method further includes: using the safety factor to determine whether the slope supported by anti-slide piles is reasonable.

[0166] When the slope safety factor K s When the slope is ≥1.3, the slope is considered to be reasonably supported by anti-slide piles, and no special engineering measures are required.

[0167] When the slope safety factor 1.3 > K s When the value is ≥1.1, and local soil failure or local failure of the anti-slide pile occurs, the slope supported by the anti-slide pile is considered unreasonable, and the deformation of the anti-slide pile and the soil behind the anti-slide pile needs to be monitored regularly.

[0168] When the slope safety factor 1.1 > K s At that time, it was deemed that the slope protection by anti-slide piles was unreasonable, and the surrounding vehicles were prohibited from traveling, and the people in the affected area were evacuated. It was necessary to reinforce or reinstall the anti-slide piles.

[0169] Example 2:

[0170] like Figure 7 As shown in the figure, this embodiment provides a safety factor calculation device for h-type anti-slide piles, the device comprising:

[0171] Acquisition module: used to acquire the dimensions of the anti-slide piles, wherein the anti-slide piles are H-type anti-slide piles;

[0172] The first calculation module is used to obtain the initial value of the deflection curve coefficient and calculate the bending moment and shear force at the upper end of the loaded section of the pile based on the size of the anti-slide pile and the initial value of the deflection curve coefficient.

[0173] Update module: used to calculate the first displacement and the second displacement based on the bending moment and shear force at the upper end of the loaded section of the rear pile. The first displacement is the displacement at the upper end of the loaded section of the rear pile, and the second displacement is the displacement at the lower end of the loaded section of the rear pile. The first displacement and the second displacement are used to calculate and update the deflection curve coefficient.

[0174] Judgment module: When the updated deflection curve coefficient of the rear pile is within the error range, the current bending moment and shear force at the upper end of the loaded section of the rear pile are taken as the critical bending moment and critical shear force, and the maximum value of the first displacement and the second displacement is taken as the critical displacement.

[0175] The second calculation module is used to obtain the current bending moment, current shear force, and current displacement of the rear pile, and to calculate the safety factor of the anti-slide pile based on the current bending moment, current shear force, current displacement, critical bending moment, critical shear force, and critical displacement of the rear pile.

[0176] Based on the above embodiments, the first calculation module includes:

[0177] First calculation unit: used to calculate the resultant force of soil deformation using the initial value of the deflection curve coefficient and the dimensions of the anti-slide pile;

[0178] The second calculation unit is used to calculate the resultant earth pressure under the limit equilibrium state based on the dimensions of the anti-slide pile.

[0179] The third calculation unit is used to calculate the trapezoidal load value of the soil resistance of the pile based on the resultant force of the resistance generated by the deformation of the soil and the resultant force of the earth pressure under the limit equilibrium state.

[0180] The fourth calculation unit is used to calculate the concentrated force and equivalent bending moment at the upper end of the loaded section of the pile based on the dimensions of the anti-slide pile.

[0181] First construction unit: used to determine three nodes of the anti-slide pile. The three nodes are located at the corner of the upper end of the load-bearing section of the rear pile, the corner of the upper end of the front pile of the anti-slide pile, and the horizontal displacement of the upper end of the front pile of the anti-slide pile, respectively. The displacement control equations for the three nodes are constructed using the displacement method.

[0182] The fifth calculation unit is used to calculate the displacement of the three nodes based on the trapezoidal load value of the soil resistance of the rear pile, the concentrated force at the upper end of the loaded section of the rear pile, the equivalent bending moment at the upper end of the loaded section of the rear pile, and the displacement control equation.

[0183] The sixth calculation unit is used to calculate the bending moment and shear force at the upper end of the loaded section of the rear pile from the displacement of the three nodes.

[0184] Based on the above embodiments, the first computing unit includes:

[0185] The second construction unit is used to construct the deflection curve equation using the initial values ​​of the deflection curve coefficients.

[0186] The seventh calculation unit is used to calculate the horizontal reaction coefficient using the m-method based on the Winkler foundation model and the dimensions of the anti-slide piles.

[0187] The eighth calculation unit is used to calculate the soil resistance of the pile under parabolic load based on the deflection curve equation and the horizontal reaction coefficient.

[0188] The ninth calculation unit is used to integrate the soil resistance of the rear pile to obtain the resultant force of the resistance generated by soil deformation.

[0189] Based on the above embodiments, the fifth computing unit includes:

[0190] The tenth calculation unit is used to calculate the first reaction moment of the three nodes based on the trapezoidal load value of the soil resistance of the rear pile, the concentrated force at the upper end of the rear pile, and the equivalent bending moment at the upper end of the rear pile. The first reaction moment is the reaction moment of the node under the trapezoidal load.

[0191] Eleventh Calculation Unit: Used to calculate the second reaction moment of the three nodes of the rear pile based on the initial value of the deflection curve coefficient and the size of the anti-slide pile. The second reaction moment is the reaction moment of the node under parabolic load.

[0192] The twelfth calculation unit is used to substitute the first and second reaction moments of the three nodes into the displacement control equation to calculate the displacement of the three nodes respectively.

[0193] Based on the above embodiments, the update module includes:

[0194] The thirteenth calculation unit is used to calculate the bending moment and shear force at the lower end of the load-bearing section of the pile based on the bending moment and shear force at the upper end of the load-bearing section of the pile.

[0195] The fourteenth calculation unit is used to calculate the displacement of the upper and lower ends of the load-bearing segment of the pile from the bending moment and shear force at the lower end of the load-bearing segment of the pile.

[0196] The fifteenth calculation unit is used to substitute the displacements of the upper and lower ends of the loaded section of the rear pile into the deflection curve equation to calculate the updated deflection curve coefficients.

[0197] Based on the above embodiments, the second calculation module includes:

[0198] The sixteenth calculation unit is used to calculate the first ratio of the current bending moment to the critical bending moment, the second ratio of the current shear force to the critical shear force, and the third ratio of the current shear force to the critical shear force, respectively.

[0199] The seventeenth calculation unit is used to compare the first ratio, the second ratio, and the third ratio to obtain the minimum ratio.

[0200] Eighteenth Calculation Unit: Used to take the minimum ratio as the safety factor of the anti-slide pile.

[0201] It should be noted that the specific manner in which each module performs its operation in the apparatus described in the above embodiments has been described in detail in the embodiments of the method, and will not be elaborated here.

[0202] Example 3:

[0203] Corresponding to the above method embodiments, this embodiment also provides a safety factor calculation device for H-type anti-slide piles. The safety factor calculation device for H-type anti-slide piles described below and the safety factor calculation method for H-type anti-slide piles described above can be referred to each other.

[0204] Figure 8 This is a block diagram illustrating a safety factor calculation device 800 for an h-type anti-slide pile according to an exemplary embodiment. Figure 8 As shown, the safety factor calculation device 800 for the h-type anti-slide pile may include: a processor 801 and a memory 802. The safety factor calculation device 800 for the h-type anti-slide pile may also include one or more of a multimedia component 803, an I / O interface 804, and a communication component 805.

[0205] The processor 801 controls the overall operation of the H-type anti-slide pile safety factor calculation device 800 to complete all or part of the steps in the aforementioned H-type anti-slide pile safety factor calculation method. The memory 802 stores various types of data to support the operation of the H-type anti-slide pile safety factor calculation device 800. This data may include, for example, instructions for any application or method operating on the H-type anti-slide pile safety factor calculation device 800, as well as application-related data such as contact data, sent and received messages, images, audio, video, etc. The memory 802 can be implemented using any type of volatile or non-volatile storage device or a combination thereof, such as Static Random Access Memory (SRAM), Electrically Erasable Programmable Read-Only Memory (EEPROM), Erasable Programmable Read-Only Memory (EPROM), Programmable Read-Only Memory (PROM), Read-Only Memory (ROM), magnetic storage, flash memory, magnetic disk, or optical disk. The multimedia component 803 may include a screen and an audio component. The screen may be, for example, a touchscreen, and the audio component is used to output and / or input audio signals. For example, the audio component may include a microphone for receiving external audio signals. The received audio signals may be further stored in the memory 802 or transmitted via the communication component 805. The audio component also includes at least one speaker for outputting audio signals. I / O interface 804 provides an interface between processor 801 and other interface modules, such as keyboards, mice, and buttons. These buttons can be virtual or physical. Communication component 805 is used for wired or wireless communication between the H-type anti-slide pile safety factor calculation device 800 and other devices. Wireless communication includes, for example, Wi-Fi, Bluetooth, Near Field Communication (NFC), 2G, 3G, or 4G, or a combination thereof. Therefore, the corresponding communication component 805 may include a Wi-Fi module, a Bluetooth module, and an NFC module.

[0206] In an exemplary embodiment, the safety factor calculation device 800 for h-type anti-slide piles may be implemented by one or more application-specific integrated circuits (ASICs), digital signal processors (DSPs), digital signal processing devices (DSPDs), programmable logic devices (PLDs), field-programmable gate arrays (FPGAs), controllers, microcontrollers, microprocessors, or other electronic components to perform the above-described method for calculating the safety factor of h-type anti-slide piles.

[0207] In another exemplary embodiment, a computer-readable storage medium including program instructions is also provided, which, when executed by a processor, implement the steps of the above-described method for calculating the safety factor of the h-type anti-slide pile. For example, the computer-readable storage medium may be the memory 802 including the program instructions, which may be executed by the processor 801 of the h-type anti-slide pile safety factor calculation device 800 to complete the above-described method for calculating the safety factor of the h-type anti-slide pile.

[0208] Example 4:

[0209] Corresponding to the above method embodiments, this embodiment also provides a readable storage medium. The readable storage medium described below and the safety factor calculation method for h-type anti-slide piles described above can be referred to each other.

[0210] A readable storage medium storing a computer program, which, when executed by a processor, implements the steps of the method for calculating the safety factor of the h-type anti-slide pile described in the above method embodiments.

[0211] Specifically, the readable storage medium can be a USB flash drive, a portable hard drive, a read-only memory (ROM), a random access memory (RAM), a magnetic disk, or an optical disk, or any other readable storage medium capable of storing program code.

[0212] The above description is merely a preferred embodiment of the present invention and is not intended to limit the invention. Various modifications and variations can be made to the present invention by those skilled in the art. Any modifications, equivalent substitutions, improvements, etc., made within the spirit and principles of the present invention should be included within the scope of protection of the present invention.

[0213] The above description is merely a specific embodiment of the present invention, but the scope of protection of the present invention is not limited thereto. Any variations or substitutions that can be easily conceived by those skilled in the art within the technical scope disclosed in the present invention should be included within the scope of protection of the present invention. Therefore, the scope of protection of the present invention should be determined by the scope of the claims.

Claims

1. A method for calculating the safety factor of an h-type anti-slide pile, characterized in that, include: Obtain the dimensions of the anti-slide pile, wherein the anti-slide pile is an H-type anti-slide pile; Obtain the initial value of the deflection curve coefficient. Based on the dimensions of the anti-slide pile and the initial value of the deflection curve coefficient, calculate the bending moment and shear force at the upper end of the loaded section of the pile, including: The resultant force of soil deformation is calculated using the initial value of the deflection curve coefficient and the dimensions of the anti-slide pile. The resultant earth pressure under the limit equilibrium state is calculated based on the dimensions of the anti-slide pile. The trapezoidal load value of the soil resistance of the post-pile is calculated based on the resultant force of the resistance generated by the soil deformation and the resultant force of the earth pressure under the limit equilibrium state. The concentrated force and equivalent bending moment at the upper end of the loaded section of the anti-slide pile are calculated based on the dimensions of the anti-slide pile. The three nodes of the anti-slide pile are determined. The three nodes are located at the corner of the upper end of the load-bearing section of the rear pile, the corner of the upper end of the front pile of the anti-slide pile, and the horizontal displacement of the upper end of the front pile of the anti-slide pile, respectively. The displacement control equations for the three nodes are constructed using the displacement method. The displacements of the three nodes are calculated based on the trapezoidal load value of the soil resistance of the rear pile, the concentrated force at the upper end of the loaded section of the rear pile, the equivalent bending moment at the upper end of the loaded section of the rear pile, and the displacement control equation. The bending moment and shear force at the upper end of the loaded section of the rear pile are calculated from the displacements of the three nodes. The first displacement and the second displacement are calculated based on the bending moment and shear force at the upper end of the loaded section of the rear pile. The first displacement is the displacement at the upper end of the loaded section of the rear pile, and the second displacement is the displacement at the lower end of the loaded section of the rear pile. The deflection curve coefficient is then calculated and updated using the first displacement and the second displacement. If the updated deflection curve coefficient is within the error range, the current bending moment and shear force at the upper end of the loaded section of the rear pile are taken as the critical bending moment and critical shear force, and the maximum value of the first displacement and the second displacement is taken as the critical displacement. Obtain the current bending moment, current shear force, and current displacement of the rear pile. Calculate the safety factor of the anti-slide pile based on the current bending moment, current shear force, current displacement, critical bending moment, critical shear force, and critical displacement of the rear pile.

2. The method for calculating the safety factor of h-shaped anti-slide piles according to claim 1, characterized in that The displacements of the three nodes are calculated based on the trapezoidal load value of the soil resistance of the rear pile, the concentrated force at the upper end of the loaded section of the rear pile, the equivalent bending moment at the upper end of the loaded section of the rear pile, and the displacement control equation. These displacements include: The first reaction moment of the three nodes is calculated based on the trapezoidal load value of the soil resistance of the rear pile, the concentrated force at the upper end of the rear pile, and the equivalent bending moment at the upper end of the rear pile. The first reaction moment is the reaction moment of the node under the trapezoidal load. The second reaction moment of the three nodes of the rear pile is calculated based on the initial value of the deflection curve coefficient and the size of the anti-slide pile. The second reaction moment is the reaction moment of the node under parabolic load. The displacements of the three nodes are calculated by substituting the first and second reaction moments of the three nodes into the displacement control equation.

3. The method for calculating the safety factor of h-type anti-slide piles according to claim 1, characterized in that... The first and second displacements are calculated based on the bending moment and shear force at the upper end of the loaded section of the pile. The deflection curve coefficients are then calculated and updated using these first and second displacements, including: The bending moment and shear force at the lower end of the loaded section of the pile are calculated based on the bending moment and shear force at the upper end of the loaded section of the pile. The displacements of the upper and lower ends of the loaded section of the rear pile are calculated from the bending moment and shear force at the lower end of the loaded section of the rear pile. Substituting the displacements of the upper and lower ends of the loaded section of the rear pile into the deflection curve equation, the updated deflection curve coefficients are calculated.

4. A safety factor calculation device for an h-shaped anti-slide pile, characterized by comprising: include: Acquisition module: used to acquire the dimensions of the anti-slide piles, wherein the anti-slide piles are H-type anti-slide piles; The first calculation module is used to obtain the initial value of the deflection curve coefficient. Based on the dimensions of the anti-slide pile and the initial value of the deflection curve coefficient, it calculates the bending moment and shear force at the upper end of the loaded section of the pile, including: First calculation unit: used to calculate the resultant force of soil deformation using the initial value of the deflection curve coefficient and the dimensions of the anti-slide pile; The second calculation unit is used to calculate the resultant earth pressure under the limit equilibrium state based on the dimensions of the anti-slide pile. The third calculation unit is used to calculate the trapezoidal load value of the soil resistance of the pile based on the resultant force of the resistance generated by the deformation of the soil and the resultant force of the earth pressure under the limit equilibrium state. The fourth calculation unit is used to calculate the concentrated force and equivalent bending moment at the upper end of the loaded section of the pile based on the dimensions of the anti-slide pile. First construction unit: used to determine three nodes of the anti-slide pile. The three nodes are located at the corner of the upper end of the load-bearing section of the rear pile, the corner of the upper end of the front pile of the anti-slide pile, and the horizontal displacement of the upper end of the front pile of the anti-slide pile, respectively. The displacement control equations for the three nodes are constructed using the displacement method. The fifth calculation unit is used to calculate the displacement of the three nodes based on the trapezoidal load value of the soil resistance of the rear pile, the concentrated force at the upper end of the loaded section of the rear pile, the equivalent bending moment at the upper end of the loaded section of the rear pile, and the displacement control equation. The sixth calculation unit is used to calculate the bending moment and shear force at the upper end of the loaded section of the rear pile from the displacement of the three nodes. Update module: Used to calculate the first displacement and the second displacement based on the bending moment and shear force at the upper end of the loaded section of the pile. The first displacement is the displacement at the upper end of the loaded section of the pile, and the second displacement is the displacement at the lower end of the loaded section of the pile. The module also uses the first and second displacements to calculate and update the deflection curve coefficient. Judgment module: When the updated deflection curve coefficient of the rear pile is within the error range, the current bending moment and shear force at the upper end of the loaded section of the rear pile are taken as the critical bending moment and critical shear force, and the maximum value of the first displacement and the second displacement is taken as the critical displacement. The second calculation module is used to obtain the current bending moment, current shear force, and current displacement of the rear pile, and to calculate the safety factor of the anti-slide pile based on the current bending moment, current shear force, current displacement, critical bending moment, critical shear force, and critical displacement of the rear pile.

5. The device for calculating the safety factor of h-shaped anti-slide piles according to claim 4, wherein, The fifth computing unit includes: The tenth calculation unit is used to calculate the first reaction moment of the three nodes based on the trapezoidal load value of the soil resistance of the rear pile, the concentrated force at the upper end of the rear pile, and the equivalent bending moment at the upper end of the rear pile. The first reaction moment is the reaction moment of the node under the trapezoidal load. Eleventh Calculation Unit: Used to calculate the second reaction moment of the three nodes of the rear pile based on the initial value of the deflection curve coefficient and the size of the anti-slide pile. The second reaction moment is the reaction moment of the node under parabolic load. The twelfth calculation unit is used to substitute the first and second reaction moments of the three nodes into the displacement control equation to calculate the displacement of the three nodes respectively.

6. The device for calculating the safety factor of h-shaped anti-slide piles according to claim 4, wherein The update module includes: The thirteenth calculation unit is used to calculate the bending moment and shear force at the lower end of the load-bearing section of the pile based on the bending moment and shear force at the upper end of the load-bearing section of the pile. The fourteenth calculation unit is used to calculate the displacement of the upper and lower ends of the load-bearing segment of the pile from the bending moment and shear force at the lower end of the load-bearing segment of the pile. The fifteenth calculation unit is used to substitute the displacements of the upper and lower ends of the loaded section of the rear pile into the deflection curve equation to calculate the updated deflection curve coefficients.

7. A safety factor calculation device for an h-shaped anti-slide pile, characterized by, include: Memory, used to store computer programs; A processor, configured to execute the computer program to implement the steps of the method for calculating the safety factor of the h-type anti-slide pile as described in any one of claims 1 to 3.

8. A readable storage medium, characterized by, The readable storage medium stores a computer program that, when executed by a processor, implements the steps of the safety factor calculation method for h-type anti-slide piles as described in any one of claims 1 to 3.

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