CN110866362A - Method for calculating design thickness of diaphragm wall - Google Patents
Method for calculating design thickness of diaphragm wall Download PDFInfo
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- CN110866362A CN110866362A CN201911240689.4A CN201911240689A CN110866362A CN 110866362 A CN110866362 A CN 110866362A CN 201911240689 A CN201911240689 A CN 201911240689A CN 110866362 A CN110866362 A CN 110866362A
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- 238000000034 method Methods 0.000 title claims abstract description 28
- 238000009412 basement excavation Methods 0.000 claims abstract description 33
- 239000002689 soil Substances 0.000 claims abstract description 31
- 238000004364 calculation method Methods 0.000 claims abstract description 15
- 238000006073 displacement reaction Methods 0.000 claims description 12
- 230000005484 gravity Effects 0.000 claims description 3
- 239000000463 material Substances 0.000 abstract description 3
- 238000010276 construction Methods 0.000 description 8
- 238000005516 engineering process Methods 0.000 description 2
- 238000012986 modification Methods 0.000 description 2
- 230000004048 modification Effects 0.000 description 2
- 230000004888 barrier function Effects 0.000 description 1
- 230000009286 beneficial effect Effects 0.000 description 1
- 238000004519 manufacturing process Methods 0.000 description 1
- 239000004065 semiconductor Substances 0.000 description 1
- 238000010008 shearing Methods 0.000 description 1
- 239000007787 solid Substances 0.000 description 1
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Abstract
The invention relates to the technical field of calculation of design thickness of diaphragm walls, in particular to a method for calculating the design thickness of the diaphragm walls, which comprises the following steps: step 1, establishing a diaphragm wall finite element model in an excavation stage; step 2, calculating the zero point of the soil pressure by using an equivalent beam method; step 3, calculating the stress condition of the diaphragm wall in two states at different excavation stages; and 4, obtaining a calculation formula of the design thickness of the diaphragm wall through the step 4. The method for calculating the thickness of the designed diaphragm wall can effectively and quickly solve the problem of how to determine the reasonable thickness of the diaphragm wall. According to the method, the calculation formula of the thickness of the diaphragm wall is obtained by comprehensively considering the shear coefficient of the soil at the periphery of the diaphragm wall, the maximum excavation depth and the elastic modulus of the diaphragm wall, and the comparison shows that the thickness of the diaphragm wall obtained by the method can meet the safety requirement in the excavation process and can reduce the use of materials.
Description
[ technical field ] A method for producing a semiconductor device
The invention relates to the technical field of calculation of design thickness of diaphragm walls, in particular to a method for calculating the design thickness of the diaphragm walls.
[ background of the invention ]
With the improvement of construction technology, especially large-scale grooving machines are widely used in foundation construction, and the application of diaphragm walls as soil-retaining and seepage-proofing structures in large-scale foundation construction is more and more common. The construction method can be used as a soil retaining and water retaining structure during foundation excavation and can also be used as a safety barrier of a foundation during operation. In order to ensure that the diaphragm wall can complete its specific function, it is important to determine whether the structural design is reasonable. Among many design parameters of diaphragm wall, its thickness is one of its most important parameters. The parameters are directly related to the structure safety and the construction cost. If the thickness of the diaphragm wall is designed to be too small, the diaphragm wall cannot resist the external pressure during foundation excavation and cannot realize the original function; if the thickness of the diaphragm wall is designed to be too thick, the construction cost is directly increased, the materials are wasted, and the diaphragm wall is quite uneconomical and not environment-friendly. In order to determine the reasonable thickness of the diaphragm wall, the prior common method is combined with the prior similar engineering design experience. With the emergence of new construction technology and new materials, the prior design experience can not completely meet the current requirements, and more design parameters are conservative.
[ summary of the invention ]
The invention aims to solve the existing problems and provide a method for calculating the design thickness of the diaphragm wall, which can effectively and quickly solve the problem of how to determine the reasonable diaphragm wall thickness.
In order to achieve the purpose, the technical scheme adopted by the invention is as follows: a method for calculating the design thickness of a diaphragm wall comprises the following steps:
in the formulas 1 and 2, E is the modulus of elasticity of the diaphragm wall, I is the unit width section moment of inertia of the diaphragm wall, and hnThe excavation depth of the foundation pit under the nth load working condition, m is the weight of the diaphragm wall, b0Calculating the width, e, for the resistance of the diaphragm wallaikIs the ultimate elastic quantity of the diaphragm wall, u is the horizontal displacement of the diaphragm wall, z is the depth below the ground or excavation face, bsThe width is calculated for the load.
The thickness calculation formula of the boundary condition diaphragm wall of the jth layer of supporting point is as follows:
Tj＝KTj(yj-y0j)+yT0jformula 3
In formula 3:
yjhorizontal displacement of a j-th layer fulcrum;
KTjis the horizontal rigidity coefficient of the j layer fulcrum;
y0jsetting a horizontal displacement value before the pivot is calculated according to the design specification;
T0jpre-stressing a support point of the jth layer;
and y is horizontal displacement of the fulcrum.
And 3, solving the results of the formula 1 and the formula 2 and substituting the results into the formula 3 to obtain a thickness calculation formula meeting the requirement of the ground connecting wall design when the ground connecting wall is horizontally displaced.
Further, the thickness calculation formula of the diaphragm wall design is as follows:
in formula 4:
Td-is the thickness of the diaphragm wall, unit: m;
hkone is the maximum excavation depth, unit: m;
Ed-is the modulus of elasticity of diaphragm wall, unit: MPa;
wherein p is1、p2、p3、p4、p5、p6、p7Are characteristic numbers, whose values are respectively: p is a radical of1＝-5.5，p2＝0.0047，p3＝0.9，p4＝-0.035，p5＝24.92，p6＝4.42，p7＝42.6。
Further, in step 2, using the equivalent beam method to calculate the zero point of the soil pressure, and when calculating the distance y from the recurved point to the excavated surface, the active soil pressure of the pile body at y is equal to the passive soil pressure, including:
obtaining by solution:
in formula 6:
Kathe active soil pressure coefficient is the active soil pressure coefficient,
Kpin order to obtain a coefficient of passive earth pressure,
gamma is the soil gravity;
q is the ground additional load;
c is the cohesion of the soil;
h is the excavation depth.
Further, in formula 4, the shear coefficient of the soil around the diaphragm wall ranges from 10 to 40.
Further, in formula 4, the maximum excavation depth ranges from 8 to 20 m.
Further, in formula 4, the modulus of elasticity of the diaphragm wall is in the range of 3.15E +04-3.15E +06 MPa.
Further, selecting a value A within the range of the shear coefficient of the soil on the periphery of the diaphragm wallXSelecting a value B within the range of the maximum excavation depthXSelecting a value C within the range of the modulus of elasticity of the diaphragm wallXAnd A isX、BX、CXAnd 4, carrying out calculation results.
In summary, due to the adoption of the technical scheme, the invention has the beneficial effects that: the invention provides a simplified method for determining the design thickness of a diaphragm wall, which is used for establishing a corresponding finite element model.
Drawings
FIG. 1 is a comparison graph of the calculated result values of the design thickness and the empirical formula in this example.
[ detailed description ] embodiments
The above description is intended to describe in detail the preferred embodiments of the present invention, but the embodiments are not intended to limit the scope of the claims of the present invention, and all equivalent changes and modifications made within the technical spirit of the present invention should fall within the scope of the claims of the present invention.
Examples
With reference to fig. 1, the method for calculating the design thickness of the diaphragm wall in this embodiment includes the following steps:
in the formulas 1 and 2, E is the modulus of elasticity of the diaphragm wall, I is the unit width section moment of inertia of the diaphragm wall, and hnThe excavation depth of the foundation pit under the nth load working condition, m is the weight of the diaphragm wall, b0Calculating the width, e, for the resistance of the diaphragm wallaikIs the ultimate elastic quantity of the diaphragm wall, u is the horizontal displacement of the diaphragm wall, z is the depth below the ground or excavation face, bsThe width is calculated for the load.
The thickness calculation formula of the boundary condition diaphragm wall of the jth layer of supporting point is as follows:
Tj＝KTj(yj-y0j)+yT0jformula 3
In formula 3:
yjhorizontal displacement of a j-th layer fulcrum;
KTjis the horizontal rigidity coefficient of the j layer fulcrum;
y0jsetting a horizontal displacement value before the pivot is calculated according to the design specification;
T0jpre-stressing a support point of the jth layer;
and y is horizontal displacement of the fulcrum.
And 3, solving the results of the formula 1 and the formula 2 and substituting the results into the formula 3 to obtain a thickness calculation formula meeting the requirement of the ground connecting wall design when the ground connecting wall is horizontally displaced.
The thickness calculation formula of the diaphragm wall design is as follows:
in formula 4:
Td-is the thickness of the diaphragm wall, unit: m;
hk-maximum excavation depth, unit: m;
Ed-is the modulus of elasticity of diaphragm wall, unit: MPa;
wherein p is1、p2、p3、p4、p5、p6、p7Are characteristic numbers, whose values are respectively: p is a radical of1＝-5.5，p2＝0.0047，p3＝0.9，p4＝-0.035，p5＝24.92，p6＝4.42，p7＝42.6。
In step 2, using an equivalent beam method to calculate the zero point of the soil pressure, and when calculating the distance y between the recurved point and the excavated surface, the driving soil pressure of the pile body at the position y is equal to the passive soil pressure, including:
obtaining by solution:
in formula 6:
Kathe active soil pressure coefficient is the active soil pressure coefficient,
Kpin order to obtain a coefficient of passive earth pressure,
gamma is the soil gravity, kN/m 3;
q is the ground additional load;
c is the cohesion of the soil, kPa;
h is the excavation depth.
In the embodiment, the range of the shear coefficient of the soil on the periphery of the diaphragm wall is 10-35; the range value of the maximum excavation depth is 8-20 m; the range value of the modulus of elasticity of the diaphragm wall is 3.15E +04-3.15E +06 MPa.
In order to verify the correctness of the simplified method for the thickness of the diaphragm wall, which is provided by the invention, different combinations of the maximum excavation depth, the shear coefficient of the soil at the periphery of the diaphragm wall and the elastic modulus of the diaphragm wall are designed, namely different AX、BX、CXAnd (4) obtaining the minimum thickness of the diaphragm wall as the design thickness by establishing a finite element solid model under the condition that the design thickness is within the selected numerical range of each parameter under the condition of 11 combined working conditions. Meanwhile, the thickness of the diaphragm wall calculated by the method provided by the invention is shown in table 1.
TABLE 1 comparison of design thickness with empirical formula
As can be seen from Table 1 and FIG. 1, the comparison results show that the calculated thickness of the diaphragm wall using equation 4 is very close to the designed thickness in the actual construction process, and the correctness of the invention is verified.
The above description is intended to describe in detail the preferred embodiments of the present invention, but the embodiments are not intended to limit the scope of the claims of the present invention, and all equivalent changes and modifications made within the technical spirit of the present invention should fall within the scope of the claims of the present invention.
Claims (7)
1. A method for calculating the design thickness of a diaphragm wall is characterized by comprising the following steps: the method comprises the following steps:
step 1, establishing a diaphragm wall finite element model in an excavation stage;
step 2, in different excavation stages, the stress state of the diaphragm wall in different excavation stages meets the following formula:
in the formulas 1 and 2, E is the modulus of elasticity of the diaphragm wall, I is the unit width section moment of inertia of the diaphragm wall, and hnThe excavation depth of the foundation pit under the nth load working condition, m is the weight of the diaphragm wall, b0Calculating the width, e, for the resistance of the diaphragm wallaikIs the ultimate elastic quantity of the diaphragm wall, u is the horizontal displacement of the diaphragm wall, z is the depth below the ground or excavation face, bsCalculating a width for the load;
the thickness calculation formula of the boundary condition diaphragm wall of the jth layer of supporting point is as follows:
Tj＝KTj(yj-y0j)+yT0jformula 3
In formula 3:
yjhorizontal displacement of a j-th layer fulcrum;
KTjis the horizontal rigidity coefficient of the j layer fulcrum;
y0jsetting a horizontal displacement value before the pivot is calculated according to the design specification;
T0jpre-stressing a support point of the jth layer;
y is horizontal displacement of a fulcrum;
and 3, solving the results of the formula 1 and the formula 2 and substituting the results into the formula 3 to obtain a thickness calculation formula meeting the requirement of the ground connecting wall design when the ground connecting wall is horizontally displaced.
2. The method for calculating the design thickness of the diaphragm wall as claimed in claim 1, wherein: the thickness calculation formula of the diaphragm wall design is as follows:
in formula 4:
Td-is the diaphragm wall thickness;
hk-maximum excavation depth;
Ed-is the modulus of elasticity of diaphragm wall;
wherein p is1、p2、p3、p4、p5、p6、p7Are characteristic numbers, whose values are respectively: p is a radical of1＝-5.5，p2＝0.0047，p3＝0.9，p4＝-0.035，p5＝24.92，p6＝4.42，p7＝42.6。
3. The method for calculating the design thickness of the diaphragm wall as claimed in claim 1, wherein: in step 2, using an equivalent beam method to calculate the zero point of the soil pressure, and when calculating the distance y between the recurved point and the excavated surface, the driving soil pressure of the pile body at the position y is equal to the passive soil pressure, including:
obtaining by solution:
in formula 6:
Kathe active soil pressure coefficient is the active soil pressure coefficient,
Kpin order to obtain a coefficient of passive earth pressure,
gamma is the soil gravity;
q is the ground additional load;
c is the cohesion of the soil;
h is the excavation depth.
4. The method for calculating the design thickness of the diaphragm wall as claimed in claim 2, wherein: in formula 4, the shear coefficient of the soil around the diaphragm wall ranges from 10 to 40.
5. The method for calculating the design thickness of the diaphragm wall as claimed in claim 2, wherein: in equation 4, the maximum excavation depth ranges from 8 to 20 m.
6. The method for calculating the design thickness of the diaphragm wall as claimed in claim 2, wherein: in formula 4, the modulus of elasticity of the diaphragm wall is in the range of 3.15E +04-3.15E +06 MPa.
7. The method for calculating the design thickness of the diaphragm wall as claimed in claim 6, wherein: selecting a value A within the range of the shear coefficient of the soil on the periphery of the diaphragm wallXSelecting a value B within the range of the maximum excavation depthXSelecting a value C within the range of the modulus of elasticity of the diaphragm wallXAnd A isX、BX、CXAnd 4, carrying out calculation results.
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN111563343A (en) * | 2020-05-22 | 2020-08-21 | 中国水利水电科学研究院 | Method for determining elasticity modulus of rock-fill concrete |
Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN105808505A (en) * | 2016-03-29 | 2016-07-27 | 华东交通大学 | Method for calculating side displacement of arc-shaped underground continuous wall |
| CN110004980A (en) * | 2019-04-29 | 2019-07-12 | 中铁第四勘察设计院集团有限公司 | A kind of combined assembled underground structure and first inverse rear suitable construction method |
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- 2019-12-06 CN CN201911240689.4A patent/CN110866362A/en active Pending
Patent Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN105808505A (en) * | 2016-03-29 | 2016-07-27 | 华东交通大学 | Method for calculating side displacement of arc-shaped underground continuous wall |
| CN110004980A (en) * | 2019-04-29 | 2019-07-12 | 中铁第四勘察设计院集团有限公司 | A kind of combined assembled underground structure and first inverse rear suitable construction method |
Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN111563343A (en) * | 2020-05-22 | 2020-08-21 | 中国水利水电科学研究院 | Method for determining elasticity modulus of rock-fill concrete |
| CN111563343B (en) * | 2020-05-22 | 2024-01-26 | 中国水利水电科学研究院 | Method for determining elastic modulus of rock-fill concrete |
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