CN106570221A - Method for computing horizontal lateral stiffness of pile top crown beam of support pile of cylindrical foundation pit - Google Patents
Method for computing horizontal lateral stiffness of pile top crown beam of support pile of cylindrical foundation pit Download PDFInfo
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Abstract
The invention provides a method for computing horizontal lateral stiffness of a pile top crown beam of a support pile of a cylindrical foundation pit. Through simplifying a cylindrical support system into an axial symmetry stress problem, establishing a computational formula of the horizontal lateral stiffness of the pile top crown beam of the support pile of the cylindrical foundation pit and computing to obtain the horizontal lateral stiffness of the pile top crown beam, the conventional elastic resistance method can be adopted to analyze and design a support structure of the cylindrical foundation pit, the deformation state and the stress state of the support pile can be more really reflected, the spatial effect of the cylindrical foundation pit is fully utilized, the tangible support of the cylindrical foundation pit is reduced and even avoided, the earth excavation of the foundation pit is facilitated, the engineering construction period and cost are saved, the energy consumption is reduced, and the method has larger economic benefit and social benefit.
Description
Technical field
The present invention relates to Deep Foundation Pit Supporting Project technical field, more particularly to a kind of drum type brake foundation pit supporting pile stake top hat
The horizontal anti-side rigidity computational methods of beam.
Background technology
Acceleration and the anxiety of urban land with Development of China's Urbanization, the development trend of skyscraper is that the number of plies increases
Many, height increase, the underground number of plies increase, embedded depth of foundation is deepened and surrounding building is contacted more closely, Design of Excavation Project and
Construction technology is also rapidly developing therewith.
The supporting of drum type brake campshed because of its steric effect substantially, it is less big in excavation area and the deeper periphery of cutting depth is built
Build in the intensive city deep-foundation pit engineering of thing using more and more extensive.
To coordinate each support pile deformation, improving support system structure integrated carrying ability, improve support pile stress, generally exist
Support pile stake top arranges one larger armored concrete Guan Liang of cross dimensions.
Current part Foundation Pit Support Design software is reduced to plane problem and is calculated, by support pile stake
Top plus spring rate simulate Guan Liang steric effect impact, but in specific operation process designer to the horizontal lateral rigidity of Guan Liang
Concrete value often hold it is inaccurate, or even design when it is overly conservative, only Guan Liang is not considered it as a kind of safety stock
Horizontal anti-side rigidity to support pile deform and stress Beneficial Effect, thus cause numerous cylindrical shape foundation ditches (especially area compared with
The little and larger foundation ditch of depth) in it is excessive think to set up tangible support, have a strong impact on project progress, cause the wave of manpower financial capacity
Take.
The content of the invention
The present situation for substantial amounts of tangible support being set for numerous cylindrical shape foundation ditches and causing serious social resources to waste, this
Invention provides a kind of drum type brake foundation pit supporting pile stake top Guan Liang horizontal anti-side rigidity computational methods, by the way that cylinder support system is simple
Axial symmetry stress problem is turned to, the computing formula of the horizontal anti-side rigidity of drum type brake foundation pit supporting pile stake top Guan Liang is set up, is calculated
To after stake top Guan Liang anti-side rigidity, you can set with being analyzed to drum type brake foundation pit supporting construction using traditional elastic reaction method
Meter, can more really reflect deformation and the stress of support pile.
The technical solution adopted in the present invention is：
A kind of horizontal anti-side rigidity computational methods of drum type brake foundation pit supporting pile stake top Guan Liang, comprise the following steps：
Step 1, it is assumed that：1) support pile is axisymmetricly distributed along cylinder, the geometry and pile shaft material of all support piles
It is all identical；2) cylinder periphery soil layer geological conditions is identical, and external loads are axisymmetricly distributed along cylinder；3) Guan Liang is annular,
It is line elastomer that work load effect is lower, meets Hooke's law；Under the conditions of hypothesis is met, cylinder support system is reduced to into axle
Symmetrical stress problem；
Step 2, is radially analyzed using arbitrary support pile as representative unit, and unit calculates width and is equal to adjacent two support piles
Arc length corresponding to the post heart, obtains displacement at pile top and causes the compression strain ε of Guan Liang to be：
Wherein w is the displacement along cylinder foundation ditch axe movement that support pile is subject to that soil pressure effect stake top is produced after stake, and R is
Cylinder foundation ditch radius；
Ring axle power T for obtaining Guan Liang by Hooke's law is：
T=EA ε, (2)
Wherein E, A are respectively the section material elastic modelling quantity and area of section of Guan Liang；
Force analysis is made to Guan Liang, is obtained in computing unit, the equivalent axial direction of ring axle power T of Guan Liang both sides to stake top
Support force F is expressed as：
Wherein θ0The corresponding central angle of width is calculated by unit and is the central angle that adjacent two support piles are formed；
Step 3, substitutes into the formula 1～3 in step 2 the horizontal anti-side rigidity of cylinder foundation pit supporting pile stake top Guan Liang and calculates public
Theoretical value K of the horizontal anti-side rigidity of Guan Liang is obtained in formula0：
Compared with prior art, the present invention has advantages below：
The horizontal anti-side rigidity computational methods of a kind of drum type brake foundation pit supporting pile stake top Guan Liang that the present invention is provided, are calculated
After stake top Guan Liang anti-side rigidity, you can set with being analyzed to drum type brake foundation pit supporting construction using traditional elastic reaction method
Meter, can more really reflect deformation and the stress of support pile, make full use of the steric effect of drum type brake foundation ditch, reduce even
The tangible support of drum type brake foundation ditch is avoided, is easy to the earth excavation of foundation ditch and is saved engineering construction duration and cost, can be reduced again
Energy consumption, possesses larger economic benefit and social benefit.
Description of the drawings
Fig. 1 is drum type brake pattern foundation pit supporting structure horizontal layout schematic diagram of the present invention.
Fig. 2 is that drum type brake foundation pit supporting pile elastic reaction method of the present invention analyzes schematic diagram.
Fig. 3 is drum type brake foundation pit supporting pile stake top Guan Liang unit force analysis schematic diagram of the present invention.
Specific embodiment
In order that the above objects, features and advantages of the present invention can become apparent from it is understandable, below in conjunction with the accompanying drawings to this
Bright specific embodiment is described in detail.
The present invention provides a kind of drum type brake foundation pit supporting pile stake top Guan Liang horizontal anti-side rigidity computational methods, to drum type brake base
Hole support pile carries out qualitative force analysis, is drawn according to the equilibrium condition of power：Drum type brake foundation pit supporting pile stake top Guan Liang level resists
Central angle that side rigidity is formed with adjacent two support piles, the area of section of Guan Liang come of age beam section material elastic modelling quantity etc. into
Direct ratio, is inversely proportional to the diameter of cylinder.
The computing formula of the horizontal anti-side rigidity of drum type brake foundation pit supporting pile stake top Guan Liang is set up, its specific derivation process is such as
Under：
First basic assumption is carried out to mechanical model：(1) support pile is axisymmetricly distributed along cylinder, all support piles it is several
What shape (as cross-sectional sizes and stake it is long) and pile shaft material it is all identical；(2) cylinder periphery soil layer geological conditions is identical, external loads
Axisymmetricly it is distributed along cylinder；(3) Guan Liang is annular, is line elastomer under work load effect, meets Hooke's law.
Under the conditions of hypothesis is met, cylinder support system can be reduced to axial symmetry stress problem, as shown in Figure 1.Therefore
Optional arbitrary stake is analyzed as representative unit, and unit calculates width equal to the circular arc corresponding to adjacent two support piles stake heart
Length, the corresponding central angle of the circular arc is the central angle θ that adjacent two support piles are formed0。
Support pile be subject to stake after soil pressure effect produce along cylinder foundation ditch axe movement displacement, it is considered at stake top Guan Liang and
The compatibility of deformation of support pile, the displacement can cause the compression of Guan Liang, and the ring axle power that the compression of Guan Liang is produced in turn can be right
Support pile plays the effect of arch brace, lateral displacement of the restrained pile along foundation ditch.In order in the internal force for calculating support pile and during displacement,
Succinctly consider this space arching, Guan Liang can be simplified to an Equivalent strut for acting on stake top, introduce support pile
In the elastic reaction method computation model of shield design, as shown in Fig. 2 wherein the steric effect of Guan Liang can then be generalized as propping up at stake top
Support, support stiffness is the horizontal anti-side rigidity of Guan Liang, and the effect of the soil body after stake is reduced to soil pressure, and quilt is in before bottom of foundation ditch stake
The soil body in dynamic area is reduced to Wen Keer springs, and soil pressure and resistance of soil coefficient can press related specifications value with reference to geological conditions.
Assume that drum type brake foundation pit supporting pile displacement at pile top is w, circular cylinder radius are R, then displacement at pile top causes the pressure of Guan Liang
Shrinkage strain ε is：
Because stake top Guan Liang is elastomeric material, can obtain ring axle power T in Guan Liang by Hooke's law is：
T=EA ε (2)
Wherein：E, A are respectively the section material elastic modelling quantity and area of section of stake top Guan Liang.
In computing unit, the force analysis of Guan Liang is as shown in Figure 3.
Ring axle power T of Guan Liang unit both sides can be expressed as to the equivalent axial support force F of stake top：
It is various according to more than, the horizontal anti-side rigidity of drum type brake foundation pit supporting pile stake top Guan Liang is obtained by mathematics replacement
Theoretical value K0：
In view of the deviation during practice of construction, the horizontal layout of support pile and off-gauge cylindrical shape, foundation pit side-wall
Geological conditions be also possible to differ greatly, external loads are also not quite similar, it is impossible to reach complete axial symmetry ideally,
For safety, the theoretical value of the horizontal anti-side rigidity of drum type brake foundation pit supporting pile stake top Guan Liang need to be multiplied by a non-axle less than 1
It is symmetrical to affect coefficient rear that the horizontal anti-side rigidity value of real drum type brake foundation pit supporting pile stake top Guan Liang, such as following formula is obtained：
In formula：The horizontal anti-side rigidity of K- support pile stake top Guan Liangs, kN/m；
θ0The central angle that-adjacent two support piles are formed, rad；
The elastic modelling quantity of E- stake top Guan Liang section materials, GPa；
A- stake top Guan Liang areas of section, m2；
R- drum diameters, m；
η-non-axis symmetry affects coefficient, value 0.5～0.7 (when non-axis symmetry affects larger, to take low value, otherwise take height
Value), it is main to consider the factors such as support pile horizontal layout non-cylindrical, stratum difference and external loads difference.
Stake top Guan Liang anti-side is calculated according to the horizontal anti-side rigidity computational methods of drum type brake foundation pit supporting pile stake top Guan Liang
After rigidity, you can be analyzed design to drum type brake foundation pit supporting construction using traditional elastic reaction method.
Support pile stake footpath be 800mm, pile spacing 1200mm, Guan Liang highly for 800mm, width be 1000mm, Guan Liang coagulation
Native strength grade be C30 under conditions of, drum diameter when 15m～65m changes, the horizontal anti-side rigidity of the stake top Guan Liang such as institute of table one
Show：
Table one
Support pile stake footpath be 1000mm, pile spacing 1400mm, Guan Liang highly for 800mm, width be 1200mm, Guan Liang coagulation
Native strength grade be C30 under conditions of, drum diameter when 15m～75m changes, the horizontal anti-side rigidity of the stake top Guan Liang such as institute of table two
Show.
Table two
Support pile stake footpath be 1200mm, pile spacing 1600mm, Guan Liang highly for 800mm, width be 1400mm, Guan Liang coagulation
Native strength grade is that under conditions of C30, when 15m～85m changes, the horizontal anti-side rigidity correspondence of stake top Guan Liang exists for drum diameter
234143kN/m～7435kN/m floats, as shown in Table 3.
Table three
According to above table, when the horizontal anti-side rigidity value of calculation of stake top Guan Liang is less than 7500kN/m, for safety, no
Consider the horizontal anti-side rigidity of support pile stake top Guan Liang to support pile deformation and the advantageous effect of stress.
For give full play to the horizontal anti-side rigidity of support pile stake top Guan Liang to support pile deform and stress advantageous effect, when
When the stake footpath of fender pile is 800mm, drum diameter must not exceed 60m；When the stake footpath of support pile is 1200mm, drum diameter must not
More than 80m；When the stake footpath of support pile is between 800mm～1200mm, linear interpolation.
Support pile is deposited reinforced concrete pile, prefabricated pile and Section-steel Piles, and the cross sectional shape of stake is circular, square or I-shaped
Type.Clear distance is 300mm～400mm between the stake of support pile.Support pile stake top Guan Liang is stretched out perpendicular to the support pile side in foundation ditch direction
The distance of edge cannot be less than 100mm.
The part not illustrated in description is prior art or common knowledge.The present embodiment is merely to illustrate the invention,
Rather than the scope of the present invention is limited, those skilled in the art are considered for the modification such as equivalent replacement that the present invention is made
Fall in invention claims institute protection domain.
Claims (7)
1. horizontal anti-side rigidity computational methods of a kind of drum type brake foundation pit supporting pile stake top Guan Liang, it is characterised in that：Including following step
Suddenly：
Step 1, it is assumed that：1) support pile is axisymmetricly distributed along cylinder, geometry and pile shaft material all phases of all support piles
Together；2) cylinder periphery soil layer geological conditions is identical, and external loads are axisymmetricly distributed along cylinder；3) Guan Liang is annular, in work
It is line elastomer under load action, meets Hooke's law；Under the conditions of hypothesis is met, cylinder support system is reduced to into axial symmetry
Stress problem；
Step 2, is radially analyzed using arbitrary support pile as representative unit, and unit calculates width and is equal to adjacent two supportings pile heart
Corresponding arc length, obtains displacement at pile top and causes the compression strain ε of Guan Liang to be：
Wherein w is the displacement along cylinder foundation ditch axe movement that support pile is subject to that soil pressure effect stake top is produced after stake, and R is cylinder
Foundation ditch radius；
Ring axle power T for obtaining Guan Liang by Hooke's law is：
T=EA ε, (2)
Wherein E, A are respectively the section material elastic modelling quantity and area of section of Guan Liang；
Force analysis is made to Guan Liang, is obtained in computing unit, ring axle power T of Guan Liang both sides is axially supported to the equivalent of stake top
Power F is expressed as：
Wherein θ0The corresponding central angle of width is calculated by unit and is the central angle that adjacent two support piles are formed；
Step 3, the formula 1～3 in step 2 is substituted in the horizontal anti-side rigidity computing formula of cylinder foundation pit supporting pile stake top Guan Liang
Obtain theoretical value K of the horizontal anti-side rigidity of Guan Liang0：
2. horizontal anti-side rigidity computational methods of a kind of drum type brake foundation pit supporting pile stake top Guan Liang according to claim 1, its
It is characterised by：In view of the deviation during practice of construction, the horizontal layout of support pile and off-gauge cylindrical shape, foundation pit side-wall
Geological conditions be also possible to differ greatly, external loads are also not quite similar, it is impossible to reach complete axial symmetry ideally,
Therefore introducing non-axis symmetry affects coefficient η, obtains horizontal anti-side rigidity value K of real drum type brake foundation pit supporting pile stake top Guan Liang：
Wherein η values 0.5～0.7, when non-axis symmetry affects larger, take low value, otherwise take high level.
3. horizontal anti-side rigidity computational methods of a kind of drum type brake foundation pit supporting pile stake top Guan Liang according to claim 2, its
It is characterised by：When the horizontal anti-side rigidity value of calculation of stake top Guan Liang is less than 7500kN/m, ignores support pile stake top Guan Liang level and resist
Side rigidity is to support pile deformation and the advantageous effect of stress.
4. horizontal anti-side rigidity computational methods of a kind of drum type brake foundation pit supporting pile stake top Guan Liang according to claim 2, its
It is characterised by：When the stake footpath of support pile is 800mm, cylinder foundation ditch diameter should be less than being equal to 60m；When the stake footpath of support pile is
During 1200mm, cylinder foundation ditch diameter should be less than being equal to 80m；It is linear to insert when the stake footpath of support pile is between 800mm～1200mm
Value.
5. horizontal anti-side rigidity computational methods of a kind of drum type brake foundation pit supporting pile stake top Guan Liang according to claim 2, its
It is characterised by：The support pile is deposited reinforced concrete pile, prefabricated pile and Section-steel Piles, and the cross sectional shape of stake is circular, square
Or I shape.
6. horizontal anti-side rigidity computational methods of a kind of drum type brake foundation pit supporting pile stake top Guan Liang according to claim 2, its
It is characterised by：Clear distance is 300mm～400mm between the stake of support pile.
7. horizontal anti-side rigidity computational methods of a kind of drum type brake foundation pit supporting pile stake top Guan Liang according to claim 2, its
It is characterised by：Support pile stake top Guan Liang stretches out the distance perpendicular to the support pile edge in foundation ditch direction should be not less than 100mm.
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Cited By (5)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN107103168A (en) * | 2017-06-23 | 2017-08-29 | 哈尔滨工业大学建筑设计研究院 | Foundation pit side-wall soil-baffling structure design method |
| CN109598101A (en) * | 2019-02-01 | 2019-04-09 | 中国水利水电第八工程局有限公司 | Foundation pit supporting pile doubles as arrangement of reinforcement calculation method, system and the medium of tower crane |
| CN110263413A (en) * | 2019-06-14 | 2019-09-20 | 庆安集团有限公司 | A kind of optimum design method of torsion-bar spring |
| CN110502798A (en) * | 2019-07-24 | 2019-11-26 | 武汉武建机械施工有限公司 | It is a kind of for solving the calculation method of different inner supporting structure stiffness coefficients |
| CN112231798A (en) * | 2020-09-23 | 2021-01-15 | 天津市海顺交通工程设计有限公司 | Pile shape adjusting method for simplifying calculation by considering space effect about homogeneous soil deep foundation pit |
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Cited By (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN107103168A (en) * | 2017-06-23 | 2017-08-29 | 哈尔滨工业大学建筑设计研究院 | Foundation pit side-wall soil-baffling structure design method |
| CN109598101A (en) * | 2019-02-01 | 2019-04-09 | 中国水利水电第八工程局有限公司 | Foundation pit supporting pile doubles as arrangement of reinforcement calculation method, system and the medium of tower crane |
| CN110263413A (en) * | 2019-06-14 | 2019-09-20 | 庆安集团有限公司 | A kind of optimum design method of torsion-bar spring |
| CN110502798A (en) * | 2019-07-24 | 2019-11-26 | 武汉武建机械施工有限公司 | It is a kind of for solving the calculation method of different inner supporting structure stiffness coefficients |
| CN112231798A (en) * | 2020-09-23 | 2021-01-15 | 天津市海顺交通工程设计有限公司 | Pile shape adjusting method for simplifying calculation by considering space effect about homogeneous soil deep foundation pit |
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