CN108824440B - Method for calculating passive soil pressure of foundation pit with pile bottom deeper than cemented soil hidden support reinforcement body - Google Patents

Method for calculating passive soil pressure of foundation pit with pile bottom deeper than cemented soil hidden support reinforcement body Download PDF

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CN108824440B
CN108824440B CN201810662334.3A CN201810662334A CN108824440B CN 108824440 B CN108824440 B CN 108824440B CN 201810662334 A CN201810662334 A CN 201810662334A CN 108824440 B CN108824440 B CN 108824440B
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soil
cement
hidden support
foundation pit
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CN108824440A (en
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李松
马郧
朱佳
张德乐
倪欣
易丽丽
王奎
张晓玉
刘佑祥
万巧
余舜
王勇
包茂军
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China South Survey And Design Institute Group Co ltd
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    • E—FIXED CONSTRUCTIONS
    • E02—HYDRAULIC ENGINEERING; FOUNDATIONS; SOIL SHIFTING
    • E02D—FOUNDATIONS; EXCAVATIONS; EMBANKMENTS; UNDERGROUND OR UNDERWATER STRUCTURES
    • E02D17/00—Excavations; Bordering of excavations; Making embankments
    • E02D17/02—Foundation pits
    • E02D17/04—Bordering surfacing or stiffening the sides of foundation pits
    • E—FIXED CONSTRUCTIONS
    • E02—HYDRAULIC ENGINEERING; FOUNDATIONS; SOIL SHIFTING
    • E02D—FOUNDATIONS; EXCAVATIONS; EMBANKMENTS; UNDERGROUND OR UNDERWATER STRUCTURES
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Abstract

The invention provides a method for calculating the passive soil pressure of a foundation pit with a pile bottom deeper than a cemented soil blind bracing reinforcement body aiming at a cemented soil blind bracing reinforcement form of a passive area of the foundation pit and based on a limit balance condition. The invention has the beneficial effects that: the theoretical characteristic that the passive soil pressure of the foundation pit of the reinforcement body is deeper than the cemented soil blind support at the pile bottom obtained through calculation is strengthened, the reliability of the passive soil pressure result of the foundation pit of the reinforcement body is improved when the pile bottom is deeper than the cemented soil blind support, the reinforcement design that the passive soil pressure of the foundation pit of the reinforcement body is deeper than the cemented soil blind support at the pile bottom helps the pile bottom to be deeper than the passive area of the foundation pit of the reinforcement body is realized according to the passive soil pressure of the foundation pit of the reinforcement body deeper than the cemented soil blind support at the pile bottom, and the stability that.

Description

Method for calculating passive soil pressure of foundation pit with pile bottom deeper than cemented soil hidden support reinforcement body
Technical Field
The invention relates to the field of constructional engineering, in particular to a method for calculating passive soil pressure of a foundation pit with a pile bottom deeper than a cemented soil hidden support reinforcement body.
Background
Along with the rapid development of national economy, the pace of urbanization construction is obviously accelerated, in order to meet the daily life needs of people, the development and utilization of underground space become necessary, more and more foundation pit groups are erected in cities, and due to the variability of geological conditions, a plurality of foundation pits are located in deep soft soil areas, which undoubtedly brings trouble to the model selection of a foundation pit supporting structure. At present, for this type of foundation pit, carry out passive district reinforcement and be an effective technological means, passive district reinforced form is multiple, and one of them is promptly for the cement soil hidden support reinforcement, and the purpose that the passive district of foundation pit adopted the cement soil hidden support to reinforce mainly divide into two aspects, and one is improving foundation pit overall stability, improves the condition of building in of fender pile, and its is the deformation of control foundation pit, makes the foundation pit warp and satisfies standard control requirement. Compared with the reinforcing of the skirt edge of the passive area of the foundation pit, the damage mechanism of the reinforcing of the cement soil hidden support is complex, on the basis of the existing elastic resistance method calculation method, aiming at the foundation pits with different cement soil hidden support reinforcing forms, the limit soil pressure of the passive area is calculated according to the Rankine soil pressure theory, the requirement whether the width of the passive area of the foundation pit meets the Rankine passive slip crack surface is ignored, and the problem whether the slip crack surface of the passive area is continuous in the original soil and the reinforced soil is not considered, so that the method is obviously not practical. Therefore, it is necessary to conduct an intensive research on this problem, and it is important to provide a method for calculating the passive soil pressure of the foundation pit with a pile bottom deeper than the cemented soil hidden support reinforcement body, which is a theoretical basis, for the reinforcement design of the passive area of the foundation pit.
Disclosure of Invention
In order to solve the problems, the invention provides a method for calculating the passive soil pressure of a foundation pit with a pile bottom deeper than a cement soil hidden support reinforcement body, wherein the foundation pit with the cement soil hidden support reinforcement body comprises a cement soil hidden support reinforcement body, a support pile, a pile top crown beam, a cement soil hidden support reinforcement body slip crack surface, undisturbed soil below the reinforcement body and undisturbed soil slip crack surface below the reinforcement body; the two ends of the soil cement hidden support reinforcing body are connected with supporting piles, the pile top crown beam is connected with the supporting piles and is positioned at the tops of the supporting piles, the soil cement hidden support reinforcing body is adjacent to undisturbed soil below the reinforcing body and is positioned above the undisturbed soil below the reinforcing body, the slip crack surface of the soil cement hidden support reinforcing body is positioned on the soil cement hidden support reinforcing body, and the undisturbed soil slip crack surface below the reinforcing body is positioned on the undisturbed soil below the reinforcing body; the method comprises the following steps:
(1) is suitable for
Figure BDA0001706743340000021
During, according to the design parameter of the pile bottom deeper than the cemented soil concealed bracing reinforcement foundation pit, acquiring and calculating the required parameter of the passive soil pressure of the pile bottom deeper than the cemented soil concealed bracing reinforcement foundation pit, wherein the required parameter comprises: quadrilateral ABCD cement soil hidden support reinforcing body dead weight G1Positive pressure S on AD surface of undisturbed soil below the triangular OAD reinforcing body and cohesive force c of cement soil hidden support reinforcing body1Internal friction angle of cement soil hidden support reinforcing body
Figure BDA0001706743340000026
Height h of cement soil hidden support reinforcement body1And the height h of undisturbed soil below the reinforcing body2Rankine passive earth pressure E within rangep2The included angle between the slip crack surface of the cement soil hidden support reinforcing body and the support pile is β;
(2) calculating the passive soil pressure E of the foundation pit with the pile bottom deeper than the cemented soil hidden support reinforcement body according to a formulap：
Figure BDA0001706743340000022
Further, the obtaining formula of β is:
Figure BDA0001706743340000023
wherein h is1Reinforcing the height of the solid for the underground support of the cement soil, h2The height of undisturbed soil below the reinforcing body is set, L is the width of the cement soil hidden support reinforcing body,
Figure BDA0001706743340000024
to reinforce the internal friction angle of undisturbed soil below the body.
Further, said Ep2For thrust acting on undisturbed soil beneath the triangular reinforcing body, Ep2The calculation formula of (2) is as follows:
Figure BDA0001706743340000025
furthermore, the numerical value of the passive soil pressure of the foundation pit with the pile bottom deeper than the cemented soil hidden support reinforcing body is obtained by adding the thrust acting on the quadrilateral ABCD cemented soil hidden support reinforcing body and the thrust acting on the undisturbed soil below the triangular OAD reinforcing body.
The technical scheme provided by the invention has the beneficial effects that: the theoretical characteristic that the passive soil pressure of the foundation pit of the reinforcement body is deeper than the cemented soil blind support at the pile bottom obtained through calculation is strengthened, the reliability of the passive soil pressure result of the foundation pit of the reinforcement body is improved when the pile bottom is deeper than the cemented soil blind support, the reinforcement design that the passive soil pressure of the foundation pit of the reinforcement body is deeper than the cemented soil blind support at the pile bottom helps the pile bottom to be deeper than the passive area of the foundation pit of the reinforcement body is realized according to the passive soil pressure of the foundation pit of the reinforcement body deeper than the cemented soil blind support at the pile bottom, and the stability that.
Drawings
The invention will be further described with reference to the accompanying drawings and examples, in which:
FIG. 1 is a schematic diagram of a foundation pit with a pile bottom deeper than a cemented soil blind bracing reinforcement body in an embodiment of the invention;
FIG. 2 is a schematic diagram of the overall balance analysis calculation of the force on the slip plane OAB in an embodiment of the present invention;
FIG. 3 is a schematic diagram of the analysis and calculation of the balance of forces acting on the slip plane OA of the cemented soil blind-shoring reinforcement body and the slip plane AB of undisturbed soil below the reinforcement body in the embodiment of the present invention.
Detailed Description
For a more clear understanding of the technical features, objects and effects of the present invention, embodiments of the present invention will now be described in detail with reference to the accompanying drawings.
The embodiment of the invention provides a method for calculating passive soil pressure of a foundation pit with a pile bottom deeper than a cement soil hidden support reinforcement body, wherein the foundation pit with the cement soil hidden support reinforcement body comprises a cement soil hidden support reinforcement body, a support pile, a pile top crown beam, a cement soil hidden support reinforcement body slip crack surface, undisturbed soil below the reinforcement body and undisturbed soil slip crack surface below the reinforcement body; the two ends of the cement soil hidden support reinforcing body are connected with supporting piles, pile top crown beams are connected with the supporting piles and located at the tops of the supporting piles, and the cement soil hidden support reinforcing body is adjacent to undisturbed soil below the reinforcing body and located above the undisturbed soil below the reinforcing body; the method comprises the following steps:
(1) is suitable for
Figure BDA0001706743340000031
During, according to the design parameter of the pile bottom deeper than the cemented soil concealed bracing reinforcement foundation pit, acquiring and calculating the required parameter of the passive soil pressure of the pile bottom deeper than the cemented soil concealed bracing reinforcement foundation pit, wherein the required parameter comprises: quadrilateral ABCD cement soil hidden support reinforcing body dead weight G1Positive pressure S on AD surface of undisturbed soil below the triangular OAD reinforcing body and cohesive force c of cement soil hidden support reinforcing body1Internal friction angle of cement soil hidden support reinforcing body
Figure BDA0001706743340000033
Height h of cement soil hidden support reinforcement body1And the height h of undisturbed soil below the reinforcing body2Rankine passive earth pressure E within rangep2The included angle between the slip crack surface of the cement soil hidden support reinforcing body and the support pile is β;
(2) calculating the passive soil pressure E of the foundation pit with the pile bottom deeper than the cemented soil hidden support reinforcement body according to a formulap：
Figure BDA0001706743340000032
Wherein G is1Reinforcing the dead weight of the quadrangular ABCD cemented soil hidden support, wherein S is positive pressure on the AD surface of undisturbed soil below the triangular OAD reinforcing body, and c1Cohesion of reinforcing body for cement soil hidden support，
Figure BDA0001706743340000042
Internal friction angle h of reinforcing body for soil cement hidden support1Reinforcing the height of the concrete for the soil cement hidden support, Ep2For strengthening the undisturbed soil height h below the body2The Rankine passive soil pressure in the range is β, the included angle between the slip crack surface of the cement soil concealed bracing reinforcing body and the support pile is obtained, and the β obtaining formula is as follows:
Figure BDA0001706743340000041
wherein h is1Reinforcing the height of the solid for the underground support of the cement soil, h2The height of undisturbed soil below the reinforcing body is set, L is the width of the cement soil hidden support reinforcing body,
Figure BDA0001706743340000043
to reinforce the internal friction angle of undisturbed soil below the body.
Referring to fig. 1, fig. 1 is a schematic view of a foundation pit with a pile bottom deeper than a cement soil hidden support reinforcement body in an embodiment of the present invention, including a cement soil hidden support reinforcement body 1, a support pile 2, a pile top crown beam 3, a cement soil hidden support reinforcement body slip crack surface 4, undisturbed soil 5 below the reinforcement body, and undisturbed soil slip crack surface 6 below the reinforcement body; the two ends of the cement soil concealed bracing reinforcement body 1 are connected with supporting piles 2, the pile top crown beam 3 is connected with the supporting piles 2 and is located at the tops of the supporting piles 2, the two ends of the cement soil concealed bracing reinforcement body 1 are connected with the supporting piles 2, the pile top crown beam 3 is connected with the supporting piles 1 and is located at the tops of the supporting piles 1, the cement soil concealed bracing reinforcement body 1 is adjacent to undisturbed soil 5 below the reinforcement body and is located above the undisturbed soil 5 below the reinforcement body, the slip crack surface 4 of the cement soil concealed bracing reinforcement body is located on the cement soil concealed bracing reinforcement body 1, and the slip crack surface 6 of the undisturbed soil below the reinforcement body is located on the undisturbed soil 5 below the reinforcement body.
Referring to fig. 2 and 3, fig. 2 is a schematic diagram illustrating an analysis and calculation of an overall balance of an acting force on a slip surface OAB in an embodiment of the present invention, fig. 3 is a schematic diagram illustrating an analysis and calculation of a balance of an acting force on a slip surface OA of a cemented soil blind strut reinforcement body and an undisturbed soil slip surface AB below the reinforcement body in an embodiment of the present invention, a slip surface with a fracture angle of β is formed in a height range of the cemented soil blind strut reinforcement body, and a quadrilateral OABC in the cemented soil blind strut reinforcement body is used for the analysis and calculationThe balance of the soil body acting force is analyzed and solved to obtain the passive soil pressure E of the foundation pit with the pile bottom deeper than the cement soil hidden support reinforcing bodyp. Passive earth pressure E of foundation pit with pile bottom deeper than cemented soil hidden support reinforcement bodypThe combined thrust force P acting on the quadrilateral OABC is obtained by adding the thrust acting on the quadrilateral OABC cemented soil concealed bracing reinforcing body and the thrust acting on undisturbed soil below the triangular OAD reinforcing body, and the pile bottom is deeper than the passive soil pressure E of a foundation pit of the cemented soil concealed bracing reinforcing bodypThe numerical value is obtained by adding the thrust acting on the quadrilateral OABC in the cemented soil concealed bracing reinforcing body and the thrust acting on the triangular OAD in undisturbed soil below the reinforcing body.
As shown in FIG. 2, the actual slip surface is OAB, so that the influence of the shearing force of the AD internal surface is not considered, T is 0, and the analysis of the OA of the cement-soil-supported-solid slip surface is shown in FIG. 3(a), P2And the height h of undisturbed soil below the reinforcing body2Rankine passive earth pressure E within rangep2Equal, T2For the cohesive resistance of the OA of the cement soil hidden support and the body slip surface, the device is provided
Figure BDA0001706743340000051
Obtaining formula (1) and formula (2):
P2＝Ep2(1)
Figure BDA0001706743340000052
according to the static balance condition sigma F satisfied by the soil body in the range of triangle OAD in the undisturbed soil below the reinforcement bodyx＝0，∑FyWhen 0, the following equilibrium equation is obtained:
Figure BDA0001706743340000053
Figure BDA0001706743340000054
and (3) and (4) are combined, and formula (5) is obtained by solving:
Figure BDA0001706743340000055
substituting equations (1) and (2) into equation (5) yields equation (6):
Figure BDA0001706743340000056
the analysis of the slip crack surface AB of the concrete blind shored reinforcement body is shown in FIG. 3(b), T1Obtaining the formula (7) for the cohesive resistance of the cement soil hidden support on the slip crack surface AB of the reinforcing body:
Figure BDA0001706743340000057
according to the static balance condition sigma F met by the reinforcing body in the quadrilateral ABCD range in the cement soil hidden support reinforcing bodyx＝0，∑FyWhen 0, the following equilibrium equation can be found:
Figure BDA0001706743340000058
Figure BDA0001706743340000059
equation (8) and equation (9) are combined, and equation (10) can be obtained by solving:
Figure BDA00017067433400000510
substituting formula (7) into (10) can yield:
Figure BDA00017067433400000511
because the pile bottom is deeper than the passive soil pressure E of the cement soil hidden support reinforcement foundation pitpIs shown in formula (12):
Ep＝P＝P1+P2(12)
therefore, according to the formula (11) and the formula (12), the passive soil pressure E of the foundation pit with the pile bottom deeper than the soil cement hidden support reinforcing body shown in the formula (13) is obtainedp：
Figure BDA0001706743340000061
Wherein the content of the first and second substances,
Figure BDA0001706743340000062
Ep2for thrust acting on a triangular OAD in undisturbed soil beneath the reinforcement, Ep2The calculation formula of (2) is as follows:
Figure BDA0001706743340000063
in the above formulas, G1、G2The dead weight of the quadrilateral ABCD in the cement soil hidden support reinforcing body and the dead weight of undisturbed soil below the triangular OAD reinforcing body are respectively set; c. C1、c2Respectively the cohesive force of the cement soil hidden support reinforcing body and undisturbed soil below the reinforcing body;
Figure BDA0001706743340000065
respectively being the internal friction angle of the cement soil hidden support reinforcing body and undisturbed soil below the reinforcing body; h is1、h2Respectively the height of the reinforcing body of the concrete underground support and the height of undisturbed soil below the reinforcing body, L is the width of the reinforcing body of the concrete underground support, and β is the included angle between the slip crack surface AB of the reinforcing body of the concrete underground support and a support pile, wherein
Figure BDA0001706743340000064
P is the resultant force of thrust acting on the quadrilateral OABC; p1、P2Thrust acting on the quadrilateral ABCD cement soil hidden support reinforcing body and thrust acting on undisturbed soil below the triangular OAD reinforcing body are respectively; ep2For strengthening the undisturbed soil height h below the body2Rankine passive earth pressure within a range; n is a radical of1、N2Respectively positive pressure on slip crack surface AB of the cement soil hidden supportReinforcing positive pressure on an undisturbed soil fracture surface OA below the body; t is1、T2Respectively the cohesive resistance on the slip crack surface AB of the cement soil concealed bracing reinforcing body and the cohesive resistance on the undisturbed soil slip crack surface OA below the reinforcing body; s is positive pressure on the AD surface of undisturbed soil below the triangular OAD reinforcing body.
The invention has the beneficial effects that: the theoretical characteristic that the passive soil pressure of the foundation pit of the reinforcement body is deeper than the cemented soil blind support at the pile bottom obtained through calculation is strengthened, the reliability of the passive soil pressure result of the foundation pit of the reinforcement body is improved when the pile bottom is deeper than the cemented soil blind support, the reinforcement design that the passive soil pressure of the foundation pit of the reinforcement body is deeper than the cemented soil blind support at the pile bottom helps the pile bottom to be deeper than the passive area of the foundation pit of the reinforcement body is realized according to the passive soil pressure of the foundation pit of the reinforcement body deeper than the cemented soil blind support at the pile bottom, and the stability that.
The above description is only for the purpose of illustrating the preferred embodiments of the present invention and is not to be construed as limiting the invention, and any modifications, equivalents, improvements and the like that fall within the spirit and principle of the present invention are intended to be included therein.

Claims (4)

1. A passive soil pressure calculation method for a foundation pit with a pile bottom deeper than a cemented soil hidden support reinforcement body is characterized in that the foundation pit with the cemented soil hidden support reinforcement body comprises a cemented soil hidden support reinforcement body, a support pile, a pile top crown beam, a cemented soil hidden support reinforcement body slip crack surface, undisturbed soil below the reinforcement body and undisturbed soil slip crack surface below the reinforcement body; the two ends of the soil cement hidden support reinforcing body are connected with supporting piles, the pile top crown beam is connected with the supporting piles and is positioned at the tops of the supporting piles, the soil cement hidden support reinforcing body is adjacent to undisturbed soil below the reinforcing body and is positioned above the undisturbed soil below the reinforcing body, the slip crack surface of the soil cement hidden support reinforcing body is positioned on the soil cement hidden support reinforcing body, and the undisturbed soil slip crack surface below the reinforcing body is positioned on the undisturbed soil below the reinforcing body; the method is characterized in that: the method comprises the following steps:
(1) is suitable for
Figure FDA0002282686460000011
And then, acquiring and calculating the design parameters of the foundation pit of the pile bottom deeper than the cemented soil hidden support reinforcement body to reinforce the pile bottom deeper than the cemented soil hidden support reinforcement bodyThe required parameter of passive earth pressure of body foundation ditch, required parameter includes: quadrilateral ABCD cement soil hidden support reinforcing body dead weight G1Positive pressure S on AD surface of undisturbed soil below the triangular OAD reinforcing body and cohesive force c of cement soil hidden support reinforcing body1Internal friction angle of cement soil hidden support reinforcing body
Figure FDA0002282686460000012
Height h of cement soil hidden support reinforcement body1And the height h of undisturbed soil below the reinforcing body2Rankine passive earth pressure E within rangep2AB is the slip surface of the soil cement hidden support reinforcement body, namely A and B are two end points of the slip surface of the soil cement hidden support reinforcement body respectively, C is the intersection point of the top end of the soil cement hidden support reinforcement body and the support pile, D is the intersection point of the bottom end of the soil cement hidden support reinforcement body and the support pile, OA is the slip surface of undisturbed soil below the reinforcement body, namely O and A are two end points of the slip surface of the undisturbed soil below the reinforcement body respectively, and O is the intersection point of the bottom end of the undisturbed soil below the reinforcement body and the support pile;
(2) calculating the passive soil pressure E of the foundation pit with the pile bottom deeper than the cemented soil hidden support reinforcement body according to a formulap：
Figure FDA0002282686460000013
2. The method for calculating the passive soil pressure of the foundation pit with the pile bottom deeper than the cement soil hidden support reinforcement body according to claim 1, wherein the β is obtained by the following formula:
Figure FDA0002282686460000014
wherein h is1Reinforcing the height of the solid for the underground support of the cement soil, h2The height of undisturbed soil below the reinforcing body is set, L is the width of the cement soil hidden support reinforcing body,
Figure FDA0002282686460000015
to reinforce the internal friction angle of undisturbed soil below the body.
3. The method for calculating the passive soil pressure of the foundation pit with the pile bottom deeper than the cement soil hidden support reinforcement body according to claim 1, is characterized in that: said Ep2For thrust acting on a triangular OAD in undisturbed soil beneath the reinforcement, Ep2The calculation formula of (2) is as follows:
Figure FDA0002282686460000021
4. the method for calculating the passive soil pressure of the foundation pit with the pile bottom deeper than the cement soil hidden support reinforcement body according to claim 1, is characterized in that: the passive soil pressure value of the foundation pit of the pile bottom deeper than the cement soil hidden support reinforcing body is obtained by adding the thrust acting on the quadrilateral ABCD cement soil hidden support reinforcing body and the thrust acting on the undisturbed soil below the triangular OAD reinforcing body.
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