CN116070325A - Method for calculating horizontal bearing capacity of rigid pile attached with multilayer limited stiffness beams - Google Patents
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Abstract
The invention discloses a method for calculating the horizontal bearing capacity of a rigid pile with a plurality of layers of additional limited stiffness beams, which comprises the following steps: 1, considering the horizontal bearing capacity of a pile foundation, wherein the horizontal bearing capacity mainly comprises two parts of pile body horizontal bearing capacity and limited rigidity beam horizontal bearing capacity; according to the pile body reinforcement ratio, respectively calculating the horizontal bearing capacity characteristic values of the cast-in-place pile with the pile body reinforcement ratio smaller than rho and not smaller than rho; 2, calculating the horizontal bearing capacity characteristic values of the limited stiffness beams at different positions, and superposing the horizontal bearing capacity characteristic values to obtain the total horizontal bearing capacity characteristic values of the limited stiffness beams; and 3, accumulating the characteristic values of the horizontal bearing capacities of the pile body and the limited stiffness beams to obtain the horizontal bearing capacity of the pile foundation added with the limited stiffness beams. The invention is a general calculation theory in pile foundation engineering and has stronger engineering applicability.
Description
Technical Field
The invention belongs to the field of pile foundation structures, and particularly relates to a method for calculating horizontal bearing capacity of a rigid pile with a plurality of layers of limited rigidity beams.
Background
With the development of social economy in China, super projects are continuously emerging, and the projects often need very high basic bearing capacity and are required to strictly control sedimentation. The traditional pile foundation has the defects of low material utilization rate, small bearing capacity and the like, and particularly has serious imbalance of slenderness ratio on the traditional foundation of a thick coverage layer and a large-span bridge. Therefore, innovations and applications of large bridge foundation forms, design theory and construction technology are required to be developed.
A pile foundation added with a limited stiffness beam is a pile foundation structure type, and the calculation of the vertical bearing capacity of the pile foundation structure is a key of pile foundation design. Based on the bionics principle, the prefabricated limited stiffness beams are extruded and expanded into the surrounding soil by adopting a multi-head jacking device which is matched and developed, the reinforced concrete limited stiffness beams in the horizontal direction are grafted on the basis, and the limited stiffness beams can effectively transfer loads to the soil, so that the stability and the bearing capacity of the foundation are improved. When the pile foundation of the additional limited stiffness beam is constructed, holes are reserved on a prefabricated reinforcement cage, the prefabricated soil body with limited stiffness Liang Dingru is placed in special equipment after the reinforcement cage is placed down, and pile body concrete is poured finally, so that the pile foundation construction of the additional limited stiffness beam is completed.
The traditional pile foundation vertical bearing capacity calculation method is mature, but the pile foundation added with the limited stiffness beam is used as a foundation structure type, and a perfect horizontal bearing capacity practical calculation method is not formed at present.
Disclosure of Invention
The invention aims to overcome the defects of the prior art, and provides a method for calculating the horizontal bearing capacity of a rigid pile with an additional multilayer limited stiffness beam, so that the horizontal bearing capacity of a pile foundation is determined through parameters, the standardization and standardization of the design of the pile foundation are facilitated, and a theoretical foundation is provided for the horizontal bearing capacity of the pile foundation, so that the application of the pile foundation is promoted.
In order to achieve the aim of the invention, the invention adopts the following technical scheme:
the invention relates to a method for calculating the horizontal bearing capacity of a rigid pile with a plurality of layers of additional limited rigidity beams, which is characterized by comprising the following steps:
step 1, obtaining external load parameters of a pile foundation, wherein the external load parameters comprise: pile top vertical load N;
parameters of pile foundation are obtained: horizontal deformation coefficient alpha of pile and modulus plastic coefficient gamma of pile section m Design value f of tensile strength of pile body concrete t Section modulus w of pile body converted section tension edge 0 Maximum bending moment coefficient v of pile body M Bending rigidity EI of pile body and allowable horizontal displacement x of pile top 0a Coefficient v of pile top horizontal displacement X Pile body reinforcement ratio ρ g Converted cross-sectional area A of pile body n Pile top vertical force influence coefficient ζ N And pile diameter d;
the soil body parameters are obtained by: the proportionality coefficient m of the pile side soil horizontal resistance coefficient;
step 2, obtaining a horizontal bearing capacity characteristic value R of the pile foundation pile body by utilizing the formula (1) ha ：
In the formula (1), ρ represents a threshold value, k, of pile body reinforcement ratio 1 ，k 2 ，k 3 ，k 4 Four correlation coefficients respectively;
step 3, dividing the limited stiffness beam of the same layer into three types according to the included angle between the axis of the limited stiffness beam and the horizontal load direction, if the axis of the limited stiffness beam is consistent with the horizontal load direction, dividing the limited stiffness beam into a type A, if the axis of the limited stiffness beam is obliquely crossed with the horizontal load direction, dividing the limited stiffness beam into a type B, and if the axis of the limited stiffness beam is vertical to the horizontal load direction, dividing the limited stiffness beam into a type C;
calculating the horizontal bearing capacity characteristic values of class A, class B and class C finite stiffness beams respectively to be recorded as R hg1 、R hg2 And R is hg3 Thereby obtaining the horizontal bearing capacity R of the limited stiffness beams after the horizontal bearing capacities of the three types of limited stiffness beams are overlapped hg ；
Step 4, the horizontal bearing capacity characteristic value R ha And horizontal bearing capacity R of a limited stiffness beam hg After accumulation, the horizontal bearing capacity of the pile foundation added with the limited stiffness beam is obtained.
The method for calculating the horizontal bearing capacity of the rigid pile with the multi-layer limited stiffness beam is characterized in that the horizontal deformation coefficient alpha of the pile in the step 1 is obtained by using the formula (2):
in the formula (2), m is the proportionality coefficient of the pile side horizontal soil resistance coefficient, b 0 The width of the pile body;
section modulus w in step 1 0 Is obtained by using the formula (3):
in the formula (3), d 0 For deducting pile diameter of the protective layer thickness, b is the side length of the rectangular section, alpha E The ratio of the elastic modulus of the steel bar to the elastic modulus of the concrete;
the maximum bending moment coefficient v of the pile body in the step 1 M Coefficient v of pile top horizontal displacement X The method is characterized in that the method is determined by looking up a table according to the constraint condition of the pile top and the converted burial depth alpha h of the pile body;
the converted section area A of the pile body in the step 1 n Obtained by using the formula (4):
the bending rigidity EI in the step 1 is obtained by using the formula (5):
EI＝k 5 E c I 0 (5)
in the formula (5), k 5 For the fifth correlation coefficient, I 0 The section moment of inertia is converted for the pile body, and the pile body comprises:
in the step 3, three types of horizontal bearing capacity characteristic values R of the limited stiffness beams are respectively obtained by using a formula (7), a formula (8) and a formula (9) hg1 、R hg2 And R is hg3 ：
In the formulas (7), (8) and (9), θ represents the pile body rotation angle, and
delta is the horizontal displacement of pile top, L is the distance between the rotation center of pile body and pile top, k 6 、k 7 Is the characteristic value R of horizontal bearing capacity hg1 And a correlation coefficient, k 8 、k 9 Is the characteristic value R of horizontal bearing capacity hg2 R is the characteristic scale of the pile foundation bottom surface, for a circular pile foundation bottom surface, the characteristic scale R is the diameter, for a square pile foundation bottom surface, the characteristic scale R is the side length, R is the foundation radius of the pile foundation, phi is the included angle between the axis of the limited stiffness beam and the horizontal force, and k 10 、k 11 Is the characteristic value R of horizontal bearing capacity hg3 Is a correlation coefficient of (1);
width b of pile body 0 To subtract the pile section width of the protective layer thickness, and obtain the pile section as a circle by using (10)Width b of pile body in shape 0 ：
In the formula (10), sigma represents a pile diameter threshold value of the circular pile; c 1 、c 2 、c 3 To calculate the width b 0 Is included in the set of coefficients.
The electronic equipment comprises a memory and a processor, wherein the memory is used for storing a program for supporting the processor to execute any rigid pile horizontal bearing capacity calculation method, and the processor is configured to execute the program stored in the memory.
The invention relates to a computer readable storage medium, on which a computer program is stored, characterized in that the computer program, when run by a processor, performs the steps of any of the methods for calculating the horizontal bearing capacity of a rigid pile.
By adopting the technical scheme, the invention has the following beneficial effects:
1. the invention considers the pile foundation pile body reinforcement ratio of the additional limited stiffness beams, and for pile foundation foundations with different reinforcement ratios, firstly, the limited stiffness beam effect is not considered, and the horizontal bearing capacity characteristic value of the pile body without the limited stiffness beams is obtained by referring to building pile foundation technical Specification (JTG 94-2008); the horizontal load capacity of the limited stiffness beam is then considered alone: dividing the same-layer limited stiffness beams at the same depth into three types, respectively carrying out stress analysis on the three types of limited stiffness beams, calculating the horizontal bearing capacity characteristic values of the three types of limited stiffness beams, and accumulating to obtain the horizontal bearing capacity of the single-layer limited stiffness beam; the limited rigidity beams at different depths of the pile body have different contributions to the horizontal bearing capacity of the pile foundation, and the total horizontal bearing capacity of the limited rigidity beams of the pile body can be obtained by accumulating the horizontal bearing capacity characteristic values of all the limited rigidity beams. And finally, superposing the horizontal bearing capacity of the pile body and the limited stiffness beam to calculate the horizontal bearing capacity of the root pile foundation. The calculation parameters only comprise basic pile foundations, soil bodies, loads, limited stiffness beams and the like, are parameters which are easy to obtain, the calculation of the vertical soil resistance belongs to a recommended calculation method of pile foundation engineering, and compared with the prior art, the calculation parameters and the calculation theory used by the method are common in pile foundation base design, have strong engineering applicability, and the obtained result is more fit with the actual pile foundation engineering.
2. The invention relates to a horizontal bearing capacity calculation method, which is suitable for a series of pile foundation structures and comprises a pile foundation added with a limited-rigidity beam, a immersed tube pile foundation added with the limited-rigidity beam and an open caisson foundation added with the limited-rigidity beam. According to different engineering geological conditions, different pile foundation structure types can be selected, pile body and soil body parameters can be correspondingly adjusted, and the theoretical calculation method has strong engineering practicability.
3. The invention considers that the position of the limited stiffness beam of the pile foundation added with the limited stiffness beam is changed, and accords with engineering practice. The horizontal bearing capacity characteristic values of the limited stiffness beams at different depths are obtained according to different arrangement conditions of the limited stiffness beams, and the method has practical application values.
Drawings
FIG. 1 is a schematic diagram of pile body deformation according to an embodiment of the present invention;
FIG. 2 is a finite stiffness beam profile of a pile foundation for an additional finite stiffness beam provided by an embodiment of the present invention;
fig. 3 is a flowchart of the horizontal bearing capacity calculation method of the present invention.
Detailed Description
In this embodiment, a method for calculating the horizontal bearing capacity of a rigid pile with an additional multi-layer limited stiffness beam is to calculate the horizontal bearing capacity characteristic values of a cast-in-place pile with the pile body reinforcement ratio smaller than ρ and not smaller than ρ according to the pile body reinforcement ratio, calculate the horizontal bearing capacity characteristic values of the limited stiffness beams at different positions, superimpose the horizontal bearing capacity characteristic values to obtain a total horizontal bearing capacity characteristic value of the limited stiffness beam, and accumulate the horizontal bearing capacity characteristic values of the pile body and the limited stiffness beam to obtain the pile foundation horizontal bearing capacity of the additional limited stiffness beam. Specifically, as shown in fig. 3, the method comprises the following steps:
step 1, obtaining external load parameters of a pile foundation, wherein the external load parameters comprise: and the pile top vertical load N is calculated and determined according to actual conditions.
Parameters of pile foundation are obtained: horizontal deformation coefficient alpha of pile and modulus plastic coefficient gamma of pile section m Design value f of tensile strength of pile body concrete t Section modulus w of pile body converted section tension edge 0 Maximum bending moment coefficient v of pile body M Bending rigidity EI of pile body and allowable horizontal displacement x of pile top 0a Coefficient v of pile top horizontal displacement X Pile body reinforcement ratio ρ g Converted cross-sectional area A of pile body n Pile top vertical force influence coefficient ζ N And pile diameter d;
wherein the horizontal deformation coefficient α of the pile is obtained using formula (1):
in the formula (1), m is the proportionality coefficient of the pile side horizontal soil resistance coefficient, preferably determined by a single pile horizontal static load test, and can be obtained by looking up a table when no static load test data exists. b 0 The width of the pile body;
width b of pile body 0 To deduct the pile section width of the protective layer thickness, and obtain the pile body width b when the pile section is circular by utilizing the method (2) 0 ：
In the formula (2), sigma represents a pile diameter threshold value of the circular pile; c 1 、c 2 、c 3 To calculate the width b 0 Is a correlation coefficient of three of (1); in this embodiment, σ=1 meter.
Modulus of plasticity coefficient gamma of pile section m Taking gamma when the section of the pile is circular m =2, taking γ when the pile cross section is rectangular m ＝1.75；
Design value f of pile body concrete tensile strength t Can be obtained by looking up a table or by a concrete tensile strength test;
section modulus w 0 Is obtained by using the formula (3):
in the formula (3), d 0 For deducting pile diameter of the protective layer thickness, b is the side length of the rectangular section, alpha E The ratio of the elastic modulus of the steel bar to the elastic modulus of the concrete;
maximum bending moment coefficient v of pile body M Coefficient v of pile top horizontal displacement X The method is characterized in that the method is determined according to the constraint condition of the pile top and the converted burial depth alpha h of the pile body; the concrete value is found out to find out the standard of the pile foundation;
the bending rigidity EI is obtained by using the formula (4):
EI＝k 5 E c I 0 (4)
in the formula (4), k 5 For the fifth correlation coefficient, I 0 The section moment of inertia is converted for the pile body, and the pile body comprises:
the pile top allows horizontal displacement x 0a Can be obtained by referring to the standard of pile foundations;
pile body reinforcement ratio ρ g Can be determined by the actual reinforcement situation;
pile body converted section area A n Is obtained by using the formula (6):
pile top vertical force influence coefficient ζ N 0.5 when pile foundation is pressed and 1.0 when pulled.
The soil body parameters are obtained by: the proportionality coefficient m of the pile side soil horizontal resistance coefficient; the foundation standard of pile foundation can be referred to specifically;
step 2, obtaining a horizontal bearing capacity characteristic value R of the pile foundation pile body by utilizing the step 7 ha ：
In the formula (7), ρ represents a threshold value, k, of pile body reinforcement ratio 1 ，k 2 ，k 3 ，k 4 Four correlation coefficients respectively;
step 3, as shown in fig. 2, dividing the limited stiffness beams of the same layer into three types according to the included angle between the axes of the limited stiffness beams and the horizontal load direction, if the axes of the limited stiffness beams are consistent with the horizontal load direction, dividing the limited stiffness beams into a first type A, if the axes of the limited stiffness beams are obliquely crossed with the horizontal load direction, dividing the limited stiffness beams into a second type B, if the axes of the limited stiffness beams are perpendicular to the horizontal load direction, dividing the limited stiffness beams into a third type C;
calculating the horizontal bearing capacity characteristic values of class A, class B and class C finite stiffness beams respectively to be recorded as R hg1 、R hg2 And R is hg3 Thereby obtaining the horizontal bearing capacity R of the limited stiffness beams after the horizontal bearing capacities of the three types of limited stiffness beams are overlapped hg ；
Three types of limited rigidity beam horizontal bearing capacity characteristic values R are respectively obtained by utilizing the formula (8), the formula (9) and the formula (10) hg1 、R hg2 And R is hg3 ：
In the formulas (8), (9) and (10), θ represents the pile body rotation angle, and
as shown in FIG. 1, which shows a rotation schematic diagram of a single pile under the action of horizontal load, delta is the horizontal displacement of the pile top, L is the distance between the rotation center of the pile body and the pile top, and L and delta can be the characteristic value R of the horizontal bearing capacity of the single pile without an additional limited stiffness beam ha And under the load working condition, the pile top is displaced and the zero point position is displaced. k (k) 6 、k 7 Is the characteristic value R of horizontal bearing capacity hg1 And a correlation coefficient, k 8 、k 9 Is the characteristic value R of horizontal bearing capacity hg2 R is the characteristic scale of the pile foundation bottom surface, for a circular pile foundation bottom surface, the characteristic scale R is the diameter, for a square pile foundation bottom surface, the characteristic scale R is the side length, R is the foundation radius of the pile foundation, phi is the included angle between the axis of the limited stiffness beam and the horizontal force, and k 10 、k 11 Is the characteristic value R of horizontal bearing capacity hg3 Is a function of the correlation coefficient of the first and second coefficients.
Step 4, the horizontal bearing capacity characteristic value R ha And horizontal bearing capacity R of a limited stiffness beam hg After accumulation, the horizontal bearing capacity R of the pile foundation added with the limited stiffness beam is obtained hg ＝R hg1 +R hg2 +R hg3 。
In this embodiment, an electronic device includes a memory for storing a program supporting the processor to execute the above method, and a processor configured to execute the program stored in the memory.
In this embodiment, a computer-readable storage medium stores a computer program that, when executed by a processor, performs the steps of the method described above.
Claims (6)
1. The method for calculating the horizontal bearing capacity of the rigid pile with the multi-layer limited stiffness beam is characterized by comprising the following steps of:
step 1, obtaining external load parameters of a pile foundation, wherein the external load parameters comprise: pile top vertical load N;
parameters of pile foundation are obtained: horizontal deformation coefficient alpha of pile and modulus plastic coefficient gamma of pile section m Design value f of tensile strength of pile body concrete t Section modulus w of pile body converted section tension edge 0 Maximum bending moment coefficient v of pile body M Bending rigidity EI of pile body and allowable horizontal displacement x of pile top 0a Coefficient v of pile top horizontal displacement X Pile body reinforcement ratio ρ g Converted cross-sectional area A of pile body n Pile top vertical force influence coefficient ζ N And pile diameter d;
the soil body parameters are obtained by: the proportionality coefficient m of the pile side soil horizontal resistance coefficient;
step 2, obtaining a horizontal bearing capacity characteristic value R of the pile foundation pile body by utilizing the formula (1) ha ：
In the formula (1), ρ represents a threshold value, k, of pile body reinforcement ratio 1 ，k 2 ，k 3 ，k 4 Four correlation coefficients respectively;
step 3, dividing the limited stiffness beam of the same layer into three types according to the included angle between the axis of the limited stiffness beam and the horizontal load direction, if the axis of the limited stiffness beam is consistent with the horizontal load direction, dividing the limited stiffness beam into a type A, if the axis of the limited stiffness beam is obliquely crossed with the horizontal load direction, dividing the limited stiffness beam into a type B, and if the axis of the limited stiffness beam is vertical to the horizontal load direction, dividing the limited stiffness beam into a type C;
calculating the horizontal bearing capacity characteristic values of class A, class B and class C finite stiffness beams respectively to be recorded as R hg1 、R hg2 And R is hg3 Thereby obtaining the horizontal bearing capacity R of the limited stiffness beams after the horizontal bearing capacities of the three types of limited stiffness beams are overlapped hg ；
Step 4, the horizontal bearing capacity characteristic value R ha And horizontal bearing capacity R of a limited stiffness beam hg After accumulation, the horizontal bearing capacity of the pile foundation added with the limited stiffness beam is obtained.
2. The method for calculating the horizontal bearing capacity of a rigid pile for an additional multi-layer limited stiffness beam according to claim 1, wherein the horizontal deformation coefficient α of the pile in step 1 is obtained by using formula (2):
in the formula (2), m is the proportionality coefficient of the pile side horizontal soil resistance coefficient, b 0 The width of the pile body;
section modulus w in step 1 0 Is obtained by using the formula (3):
in the formula (3), d 0 For deducting pile diameter of the protective layer thickness, b is the side length of the rectangular section, alpha E The ratio of the elastic modulus of the steel bar to the elastic modulus of the concrete;
the maximum bending moment coefficient v of the pile body in the step 1 M Coefficient v of pile top horizontal displacement X The method is characterized in that the method is determined by looking up a table according to the constraint condition of the pile top and the converted burial depth alpha h of the pile body;
the converted section area A of the pile body in the step 1 n Obtained by using the formula (4):
the bending rigidity EI in the step 1 is obtained by using the formula (5):
EI＝k 5 E c I 0 (5)
in the formula (5), k 5 For the fifth correlation coefficient, I 0 The section moment of inertia is converted for the pile body, and the pile body comprises:
3. the method for calculating the horizontal bearing capacity of the rigid pile with the additional multi-layer limited stiffness beam according to claim 2, wherein in the step 3, three types of characteristic values R of the horizontal bearing capacity of the limited stiffness beam are obtained by using a formula (7), a formula (8) and a formula (9), respectively hg1 、R hg2 And R is hg3 ：
In the formulas (7), (8) and (9), θ represents the pile body rotation angle, and
delta is the horizontal displacement of pile top, L is the distance between the rotation center of pile body and pile top, k 6 、k 7 Is the characteristic value R of horizontal bearing capacity hg1 And a correlation coefficient, k 8 、k 9 Is the characteristic value R of horizontal bearing capacity hg2 R is the characteristic scale of the pile foundation bottom surface, for a circular pile foundation bottom surface, the characteristic scale R is the diameter, for a square pile foundation bottom surface, the characteristic scale R is the side length, R is the foundation radius of the pile foundation, phi is the included angle between the axis of the limited stiffness beam and the horizontal force, and k 10 、k 11 Is the characteristic value R of horizontal bearing capacity hg3 Is a function of the correlation coefficient of the first and second coefficients.
4. The method for calculating horizontal bearing capacity of rigid piles attached with multi-layer limited stiffness beams according to claim 2, wherein the width b of the pile body 0 To subtract the thickness of the protective layer, andobtaining the width b of the pile body when the pile section is circular by using the method (10) 0 ：
In the formula (10), sigma represents a pile diameter threshold value of the circular pile; c 1 、c 2 、c 3 To calculate the width b 0 Is included in the set of coefficients.
5. An electronic device comprising a memory and a processor, wherein the memory is configured to store a program for supporting the processor to perform the method of computing the horizontal bearing capacity of a rigid pile as claimed in any one of claims 1 to 4, the processor being configured to execute the program stored in the memory.
6. A computer readable storage medium having stored thereon a computer program, characterized in that the computer program when run by a processor performs the steps of the method of calculating the horizontal bearing capacity of a rigid pile according to any one of claims 1-4.
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| CN116341089A (en) * | 2023-05-31 | 2023-06-27 | 中国建筑第六工程局有限公司 | Method for calculating axial allowable bearing capacity of single pile of railway bored friction pile foundation |
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN116341089A (en) * | 2023-05-31 | 2023-06-27 | 中国建筑第六工程局有限公司 | Method for calculating axial allowable bearing capacity of single pile of railway bored friction pile foundation |
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