CN114970016A - Pi-shaped support inclined strut displacement calculation method, Pi-shaped support design method and support method - Google Patents

Pi-shaped support inclined strut displacement calculation method, Pi-shaped support design method and support method Download PDF

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CN114970016A
CN114970016A CN202210523383.5A CN202210523383A CN114970016A CN 114970016 A CN114970016 A CN 114970016A CN 202210523383 A CN202210523383 A CN 202210523383A CN 114970016 A CN114970016 A CN 114970016A
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蔡敏
朱海云
束冬青
付春友
任宗强
孙昌兴
王家瑞
陈钧
单灿灿
张涛
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Anhui Urban Construction Design Research Institute Co ltd
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Abstract

The invention provides a method for calculating the displacement of an n-shaped support diagonal brace, a method for designing the n-shaped support and a supporting method. Meanwhile, design parameters of the n-shaped support and the angle theta of the inclined strut can be optimized by combining the horizontal displacement and the vertical displacement, and risk avoidance is achieved.

Description

Pi-shaped support inclined strut displacement calculation method, Pi-shaped support design method and support method
Technical Field
The invention relates to the field of geotechnical engineering, in particular to an n-shaped support inclined strut displacement calculation method, an n-shaped support design method and a support method.
Background
The foundation pit supporting inner supporting structure adopted at present is mainly horizontal support and a pit inner inclined strut, the pit inner inclined strut is mostly adopted for foundation pits with large plane size and shallow depth, steel pipes or combined section steel are mostly adopted for inclined strut materials, the support is arranged at the bottom of the foundation pit for providing reliable support counter force, and a pile foundation or a basement bottom plate utilizing middle early construction is adopted for supporting. The foundation pit earthwork of the existing inclined strut technology adopts a basin-type excavation mode, the middle earthwork is excavated firstly, the edge earthwork is excavated to the position near the bottom of the inclined strut to release a slope, and the soil body below the inclined strut is excavated after the inclined strut is applied. The prior art has the following problems:
1. the support pile foundation length of bracing is longer, causes the waste. Because the current industry standard only stipulates the length calculation formula of the elastic pile with the converted buried depth alpha h being more than or equal to 2.4 and does not have the length calculation formula aiming at the support pile with the converted buried depth alpha h being less than 2.4, only the long pile can be selected in the engineering application, and the waste of resources and cost is caused.
2. The deformation calculation of the support pile foundation of the inclined strut is inaccurate, and the risk that the support pile-shaped edge is excessively supported unstably in the construction process exists. The existing support pile foundation deformation calculation is calculated on the basis of supposing that the rigidity of a pedestal is infinite, and larger errors often exist, so that the engineering risk is increased.
Disclosure of Invention
In order to overcome the defect that the deformation calculation of the support pile foundation of the inclined strut is inaccurate in the prior art, the invention provides a method for calculating the displacement of the n-shaped support inclined strut, which can accurately calculate the transverse displacement and the longitudinal displacement of the inclined strut.
In the method for calculating the diagonal bracing displacement of the n-shaped support, the n-shaped support comprises a strip-shaped pedestal and two support piles for supporting the pedestal; the n-shaped support is used for supporting the inclined support rod, and the horizontal displacement delta x and the vertical displacement delta y of the n-shaped support are calculated according to the following formula in a supporting state;
Figure BDA0003642941670000021
wherein, F θ Axial support force provided for the diagonal brace; theta is an inclined strut angle, namely an included angle between the inclined strut and the horizontal direction; l is x The height of the support pile is shown, and B is the length of the pedestal;
k 1 、k 2 、z 0 and δ is a calculation coefficient, and:
k 1 =6E s L x D;
k 2 =4E s Bb;
Figure BDA0003642941670000022
Figure BDA0003642941670000023
d represents the equivalent diameter of the support pile; e s The expression soil body compression modulus is obtained through in-situ test; b represents a pedestal width, and d represents a pedestal height.
In order to overcome the defects that the length of a support pile foundation of the inclined strut is long and materials are wasted in the prior art, the invention further provides a design method of the n-shaped support, the size of the n-shaped support can be set according to the surrounding environment of a foundation pit and the nature of a soil layer, and materials are saved.
The invention provides a design method of an n-shaped support, wherein the n-shaped support comprises a strip-shaped pedestal and two support piles for supporting the pedestal; the design method comprises the following steps:
s1, setting the inclined angle theta of the inclined strut and the target value F of the supporting force, and defining a design parameter set { L } x D, B, B, D, L }, wherein L x The height of the support pile is shown, and D represents the equivalent diameter of the support pile; b represents the length of the pedestal, B represents the pedestal width, and d represents the pedestal height; the two support piles are arranged along the length direction of the pedestal, and l represents the clear distance between the axes of the two support piles;
Figure BDA0003642941670000024
a is the horizontal cross-sectional area of the support pile, and pi is the circumferential ratio;
s2, selecting different values according to each parameter in the design parameter set, and constructing a plurality of design parameter sets serving as sample sets, wherein at least one parameter in any two sample sets is different;
s3, calculating a predicted supporting force value F corresponding to each sample set according to the following formula (1) θ Arranging the predicted values of the supporting force larger than F in the order from small to large to form a supporting force candidate queue;
Figure BDA0003642941670000031
wherein: alpha is a coefficient of angular dependence of the angle,
Figure BDA0003642941670000032
ζ is a coefficient of area correlation,
Figure BDA0003642941670000033
S u for the non-drainage shear strength of the soil body, byObtaining an in-situ test;
A f is the effective projection area of the n-shaped support in the horizontal direction, A f =η 1 L x D+η 2 bd; (4)
η 1 Is a size correlation coefficient, η 1 =0.28(l/D) 0.45 ; (5)
η 2 The coefficient related to the loose degree of the soil body behind the pedestal is taken as the value in the interval of 0-1 eta 2 Is an empirical value;
s4, the first predicted value F in the supporting force candidate queue θ As design value of holding force F u
S5, binding F u The corresponding sample set calculates the value range of theta according to the following formulas (6) and (7);
Figure BDA0003642941670000034
Figure BDA0003642941670000035
v represents the required horizontal force at the fulcrum, and is a design value; the supporting point is the intersection of the diagonal brace and the enclosure structure;
s6, selecting a selected median value from the theta value range according to a set angle screening rule, and combining the selected median value with F u Traversing each selected median value in the theta value range by the corresponding sample set and the pi-shaped support inclined strut displacement calculation method to calculate the corresponding horizontal displacement delta x and vertical displacement delta y;
s7, defining parameter screening conditions, namely that the delta x is less than or equal to a preset transverse deviation threshold value x 0 Δ y is less than or equal to a preset vertical offset threshold y 0 (ii) a Judging whether the { delta x, delta y } in the S6 meets the parameter screening condition;
if yes, selecting a group from { delta x, delta y } meeting parameter screening conditions as optimal displacement, and acquiring theta corresponding to the optimal displacement as a target value theta of the angle of the inclined strut 0 Will F u Corresponding sample set as target parameterNumber set { L x ', D', B ', B', D ', L' }, wherein L x 'denotes the stand-off pile height, D' denotes the equivalent diameter of the stand-off pile; b ' represents the length of the pedestal, B ' represents the pedestal width, and d ' represents the pedestal height; the two support piles are arranged along the length direction of the pedestal, and l' represents the axle center clear distance of the two support piles;
if not, the next predicted value F in the supporting force candidate queue is used θ As design value of holding force F u And returns to step S5.
Preferably, the angle filtering rule in S6 is: acquiring all integer values in a value range of theta as a selected value;
or selecting a selected median value from the theta value range according to the set interval value;
or, the number of selected median values is set according to the span of the theta value range, and then the selected median values are equidistantly selected from the theta value range according to the number of the selected median values.
Preferably, in S7, the threshold value x is laterally shifted 0 Equal to 3 per mill of support pile length and vertical deviation threshold y 0 Equal to 1 thousandth of the pile length of the support pile.
Preferably, in S7, a group of displacements is selected as an optimal displacement from { Δ x, Δ y } satisfying the parameter screening condition according to a preset displacement selection rule; the displacement selection rule is as follows: acquiring { delta x, delta y } of the corresponding evaluation value, which is minimum, as the optimal displacement; the evaluation value is the sum of Δ x and Δ y.
Preferably, η in S5 2 And eta in S3 2 The values of (A) are consistent.
The invention further provides a supporting method applying the n-shaped support, the angle of the inclined strut can be optimized, and a more stable and reliable supporting structure is realized.
A supporting method applying a n-shaped support is characterized in that a target parameter set { L } is obtained according to the design method of the n-shaped support x ', D', B ', B', D ', l' } and a target value of the diagonal tilt angle θ 0 According to the target parameter set { L x ', D', B ', B', D ', l' } designing and manufacturing a n-shaped support; according to the target value theta of the inclined strut angle 0 And installing the diagonal brace.
Preferably, the pi-shaped support is first obtained by in-situ testingShear strength S of soil body at working position without drainage u Then, a target parameter set { L } is obtained according to the design method of the n-shaped support x ', D', B ', B', D ', l' } and a target value of the strut angle theta 0 (ii) a The soil body at the construction position of the n-shaped support is an original soil body or an improved soil body.
The invention has the advantages that:
(1) the method for calculating the displacement of the inclined strut of the n-shaped support can accurately calculate the transverse displacement and the longitudinal displacement of the inclined strut, so that risk prediction and management and control are carried out on a supporting structure, and the safety of structure construction is improved. Meanwhile, design parameters of the n-shaped support and an angle theta of the inclined strut can be optimized by combining the horizontal displacement and the vertical displacement, and risk avoidance is achieved.
(2) The design method of the n-shaped support provided by the invention realizes the targeted design of the n-shaped support according to the surrounding environment and soil layer properties of the foundation pit so as to save materials. Meanwhile, risk control of design parameters of the n-shaped support according to the horizontal displacement delta x and the vertical displacement delta y is realized, and a finally obtained target parameter set { L }is ensured x The n-shaped support obtained by the design of 'D', B ', B', D ', l' has higher stability and reliability, ensures the safety of engineering construction, and effectively improves the construction efficiency.
(3) The angle screening rule is given, the point value test of the theta value range is realized, the optimization of the angle of the inclined strut is conveniently and rapidly realized, and the calculated amount is reduced. The invention provides a displacement selection rule for selecting the optimal displacement so as to quickly determine the target value theta of the angle of the inclined strut 0 And the convergence speed of the algorithm is improved.
(4) Eta of S5 in the invention 2 And eta in S3 2 The values are consistent, errors caused by inconsistent parameters are avoided, and the reliability of the optimization of the angle of the inclined strut is ensured.
(5) The invention provides a supporting method applying an n-shaped support, which is based on a target value theta of an angle of an inclined strut 0 The inclined strut angle of the inclined strut is arranged, and the most stable supporting structure is realized under the condition that the size of the n-shaped support is fixed.
(6) According to the invention, the prestress is applied to the diagonal brace through the prestress applying device, the prestress value is 60% -75% of the axial force design value of the diagonal brace, the prestress loss during locking is fully considered, and a more reliable prestress setting mode is adopted.
(7) The invention is beneficial to further optimizing the size design of the n-shaped support by improving the foundation soil and simultaneously is beneficial to reducing the construction difficulty.
Drawings
FIG. 1 is a schematic size diagram of a Pi-shaped support;
FIG. 2 is a flow chart of a method for designing a Pi-shaped support;
FIG. 3 is a schematic view of a design scheme of a foundation pit supporting structure applying an n-shaped support according to the invention;
FIG. 4 is a schematic diagram of construction conditions in the embodiment of the present invention;
FIG. 5 is a schematic view of an embodiment of the invention illustrating the installation of a diagonal brace;
FIG. 6 is a schematic view of the basement construction according to the embodiment of the invention;
1. an enclosure structure; 2. an n-shaped support; 3. a crown beam; 4. a support pile; 5. a pedestal; 6. enclosing purlins; 7. a diagonal brace; 8. a prestress applying device; 9. a water stop ring; 10. an underground structural floor; 11. a plain concrete force transfer belt; 12. underground structural frame columns; 13. an underground structural exterior wall; 14. an intermediate layer beam slab of the underground structure; 15. a transfer beam plate; 16. a subsurface structure roof; 17. a natural ground; 18. undisturbed soil at the bottom of the foundation pit; 19. a peripheral soil platform; 20. backfilling the fertilizer groove; 21. improving the foundation soil.
Detailed Description
II-shaped support
As shown in fig. 1, the pi-shaped support in this embodiment includes an elongated pedestal 5 and two support piles 4 for supporting the pedestal, where the pedestal 5 is a flat plate structure and has a length, a width and a height indicated as B, b and d; the height and equivalent diameter of the standoff piles 4 are denoted Lx and D, respectively. Two support piles are arranged along the length direction of the pedestal, and l represents the axle center clear distance of the two support piles.
The calculation formula of the equivalent diameter D is as follows:
Figure BDA0003642941670000061
wherein A is the horizontal cross-sectional area of the support pile, and pi is the circumferential rate.
Method for calculating inclined strut displacement of n-shaped support
In the embodiment, the horizontal displacement Δ x and the vertical displacement Δ y of the n-shaped support 2 in the supporting state are calculated according to the following formulas; the supporting state is the state that the n-shaped support 2 supports the inclined support rod 7.
Figure BDA0003642941670000071
Wherein, F θ The axial supporting force provided for the diagonal strut 7; theta is an inclined strut angle, namely an included angle between the inclined strut 7 and the horizontal direction; l is x The height of the support pile is shown, and B is the length of the pedestal;
k 1 、k 2 、z 0 and δ is a calculation coefficient, and:
k 1 =6E s L x D;
k 2 =4E s Bb;
Figure BDA0003642941670000072
Figure BDA0003642941670000073
d represents the equivalent diameter of the support pile; e s The expression soil body compression modulus is obtained through in-situ test; b represents the pedestal width and d represents the pedestal height.
According to the formula, the horizontal displacement delta x and the vertical displacement delta y of the n-shaped support 2 can be predicted under the condition that the design parameters and the inclined strut angle theta of the n-shaped support 2 are known, so that risk prediction and management and control are carried out on the supporting structure, and the safety of structure construction is improved. Meanwhile, design parameters of the n-shaped support 2 and the angle theta of the inclined strut can be optimized by combining the horizontal displacement delta x and the vertical displacement delta y, and risk avoidance is achieved.
Design method of n-shaped support
In this embodiment, the supporting force F provided by the inclined strut 7 using the pi-shaped support 2 is calculated according to the following formula (1) θ
Figure BDA0003642941670000074
Wherein: alpha is the angular correlation coefficient and alpha is the angular correlation coefficient,
Figure BDA0003642941670000075
ζ is a coefficient of area correlation,
Figure BDA0003642941670000081
S u the shear strength of the soil body without drainage is obtained through an in-situ test;
A f is the effective projection area of the n-shaped support in the horizontal direction, A f =η 1 L x D+η 2 bd; (4)
η 1 Is a size correlation coefficient, η 1 =0.28(l/D) 0.45 ; (5)
η 2 The coefficient related to the loose degree of the soil body behind the pedestal is taken as a value in the interval of 0 to 1, eta 2 Are empirical values.
It can be seen that according to the above equations (1) - (5), the parameters { L } can be designed at known angles θ and pi-shaped support 2 x Directly calculating and obtaining the supporting force F on the basis of D, B, B, D, l θ
The design method of the n-shaped support provided by the embodiment comprises the following steps:
s1, setting the angle theta of the inclined strut and the target value F of the supporting force, and defining a design parameter set { L } x D, B, B, D, L }, wherein L x Indicating the height of the support pile and D indicating the supportEquivalent diameter of the seat post; b represents the length of the pedestal, B represents the pedestal width, and d represents the pedestal height; two support piles are arranged along the length direction of the pedestal, and l represents the axle center clear distance of the two support piles.
S2, selecting different values according to each parameter in the design parameter set, and constructing a plurality of design parameter sets serving as sample sets, wherein at least one parameter in any two sample sets is different, so that repeated sample sets and redundant work are avoided.
S3, calculating the predicted supporting force value F corresponding to each sample set according to the formulas (1) to (5) θ Arranging the predicted values of the supporting force larger than F in the order from small to large to form a supporting force candidate queue;
s4, the first predicted value F in the supporting force candidate queue θ As design value of holding force F u
S5, binding F u The corresponding sample set calculates the value range of theta according to the following formulas (6) and (7);
Figure BDA0003642941670000082
Figure BDA0003642941670000091
wherein alpha is an angle correlation coefficient, zeta is an area correlation coefficient, S u The shear strength of the soil body without drainage is obtained through an in-situ test; v represents the required horizontal force at the fulcrum, and is a design value; the supporting point is the intersection of the diagonal brace 7 and the enclosure structure 1; a. the f Effective projected area, eta, of n-shaped support in horizontal direction 1 Is a size correlation coefficient, η 2 The coefficient is related to the loose degree of the soil body behind the pedestal; α, ζ, A f And η 1 The sample sets { Lx, D, B, B, D, l } are respectively substituted into the above equations (2) - (5).
S6, selecting a selected median value from the theta value range according to a set angle screening rule, and combining the selected median value with F u Corresponding sample set and n-shaped support inclined strut displacement calculation methodAnd traversing each selected value in the theta value range by the method to calculate the corresponding horizontal displacement delta x and the vertical displacement delta y.
S7, defining parameter screening conditions, namely that the delta x is less than or equal to a preset transverse deviation threshold value x 0 Δ y is less than or equal to a preset vertical offset threshold y 0 (ii) a Judging whether the { delta x, delta y } in the S6 meets the parameter screening condition; lateral shift threshold x 0 Equal to 3 per mill of support pile length and vertical deviation threshold y 0 Equal to 1 thousandth of the pile length of the support pile;
if yes, selecting a group from { delta x, delta y } meeting parameter screening conditions as optimal displacement, and acquiring theta corresponding to the optimal displacement as a target value theta of the angle of the inclined strut 0 Will F u Corresponding sample set as target parameter set { L x ',D',B',b',d',l'};
If not, the next predicted value F in the supporting force candidate queue is used θ As design value of holding force F u And returns to step S5.
The combination of the steps S6 and S7 realizes risk control of the design parameters of the Π -shaped support 2 according to the horizontal displacement Δ x and the vertical displacement Δ y, and ensures stability and reliability of the Π -shaped support 2 designed and obtained according to the finally obtained target parameter set { Lx ', D ', B ', D ', l ' }.
S7, the angle of the inclined strut is further optimized according to the optimal displacement, and thus the target value theta of the angle of the inclined strut is provided for the construction of subsequent support 0 Advantageously according to the target value theta of the angle of the diagonal brace 0 The optimal axial supporting force of the inclined strut is realized, and the reliability of the supporting structure is further improved.
Eta of the above-mentioned S5 2 And eta in S3 2 The values of the inclined strut angle are consistent, so that the reliability of the inclined strut angle optimization is ensured. In the step S6, the value test of the value range of θ is realized by setting the selected median value, which is convenient for quickly optimizing the angle of the inclined strut and reducing the calculation amount. Specifically, the angle filtering rule may be set as: and acquiring all integer values in the value range of theta as selected values, namely, only calculating the horizontal displacement delta x and the vertical displacement delta y corresponding to each integer value. The selection of the integer value realizes the uniform value taking in the theta value range and the effective controlThe number of calculations is made.
In specific implementation, if the value range of θ is too large, a selected median may be selected from the value range of θ according to a set interval value, for example, the minimum end value in the value range of θ is used as the first selected median, and then one selected median is selected every 3 ° intervals.
Or, the number of selected median values is set according to the span of the theta value range, and then the selected median values are equidistantly selected from the theta value range according to the number of the selected median values. For example, the value range of theta is more than or equal to 35 degrees and less than or equal to 64.3 degrees, the selected value is respectively as follows by setting the selected value number to 10: 35 °, 38.26 °, 41.25 °, 44.78 °, 48.04 °, 51.3 °, 54.56 °, 57.82 °, 61.08 °, 64.3 °.
In the step S6, a group of displacement is selected as the optimal displacement from the { delta x, delta y } meeting the parameter screening condition according to a preset displacement selection rule; the displacement selection rule is as follows: acquiring { delta x, delta y } of the corresponding evaluation value, which is minimum, as the optimal displacement; the evaluation value is the sum of Δ x and Δ y.
Example 1
Referring to fig. 3 to 6, in this embodiment, in combination with a real case, axial supporting force, horizontal displacement, and vertical displacement of the sprag under different sprag angles are compared for an n-shaped support with a fixed size.
Table 1: data statistics of example 1
Figure BDA0003642941670000101
Figure BDA0003642941670000111
The design parameters of the support in the upper table are original design parameters, and more accurate axial supporting force F of the diagonal brace can be obtained through angle optimization θ Horizontal displacement Δ x and vertical displacement Δ y.
As can be seen from the above table, in the present embodiment, by optimizing the angle of the inclined strut, the axial supporting force of the inclined strut 7 can be significantly increased and the maximum displacement in a single direction can be reduced after the design parameters of the n-shaped support 2 are fixed.
Moreover, as can be seen from table 1 above, in this embodiment, under the condition that the size of the pi-shaped support 2 is fixed, the axial supporting force of the diagonal brace is greatly improved for all the optimized 3 kinds of diagonal brace angles, and according to the demonstration of this embodiment, the design size of the pi-shaped support 2 can be further optimized by using the method in the specific construction process, so as to achieve the purposes of saving materials, reducing the height of the pi-shaped support 2, and reducing the construction difficulty.
It can be seen that, when embodiment 1 is implemented, better dimension parameters and inclined strut angle θ of the pi-shaped support 2 can be obtained according to the design method of the pi-shaped support 0 Then the n-shaped support 2 is produced and installed according to the size parameters of the n-shaped support 2, and then the angle theta of the inclined strut can be used on the existing foundation pit supporting construction method 0 And constructing the diagonal brace 7 to maximize the axial supporting force of the diagonal brace.
In specific implementation, the parameter design of the n-shaped support is related to soil parameters, so that soil improvement can be performed at the construction position of the n-shaped support 2 during actual construction aiming at soil with poor foundation, and the n-shaped support 2 is designed and constructed aiming at the improved soil 21, so that the optimization control of the size parameters of the n-shaped support is further realized.
The design parameters of the support in the above table 1 are the design parameters selected according to the existing specifications, and the superiority of the method for optimizing the angle of the inclined strut in the invention is embodied by combining the data in the table 1. To further prove the superiority of the pi-shaped support design method of the present invention, a new set of design parameters is provided by using the pi-shaped support design method of the present invention according to the application scenario of the embodiment described in table 1, as shown in table 2 below.
Table 2: data statistics of the n-shaped support design method provided by the invention aiming at the scene in embodiment 1
Figure BDA0003642941670000121
As can be seen from table 1 and table 2, in this embodiment, two pi-shaped support design parameter sets are tested, and the design parameters shown in table 1In the set, D is 5m, L x 0.9 m; in the design parameter set shown in table 2, D is 4m, L x 0.8 m. As can be seen from table 1 and table 2, when the angle of the inclined strut is 0, the design parameter set shown in table 2 adopts a smaller size to realize a larger axial supporting force and a smaller horizontal displacement of the inclined strut relative to the design parameter set shown in table 1; when θ is 64.3 °, the design parameter set shown in table 2 still satisfies the design target value of the axial force supporting force of the sprag, and the maximum displacement value is reduced from 17.33mm to 16.94mm relative to the design parameter set shown in table 1. Therefore, by combining the design method of the n-shaped support, the pile height of the support can be effectively reduced on the premise that the axial supporting force of the inclined strut meets the design target.
The invention is not to be considered as limited to the specific embodiments shown and described, but is to be understood to cover all modifications, equivalents, and alternatives falling within the spirit and scope of the invention as defined by the appended claims.

Claims (8)

1. A method for calculating the diagonal bracing displacement of an n-shaped support is characterized in that the n-shaped support (2) comprises a strip-shaped pedestal (5) and two support piles (4) for supporting the pedestal; the n-shaped support (2) is used for supporting the inclined support rod (7), and the horizontal displacement delta x and the vertical displacement delta y of the n-shaped support (2) are calculated according to the following formula in a supporting state;
Figure FDA0003642941660000011
wherein, F θ Axial support force provided for the diagonal strut (7); theta is an inclined strut angle, namely an included angle between the inclined strut (7) and the horizontal direction; l is x The height of the support pile is shown, and B is the length of the pedestal;
k 1 、k 2 、z 0 and δ is a calculation coefficient, and:
k 1 =6E s L x D;
k 2 =4E s Bb;
Figure FDA0003642941660000012
Figure FDA0003642941660000013
d represents the equivalent diameter of the support pile; e s The expression soil body compression modulus is obtained through in-situ test; b represents the pedestal width and d represents the pedestal height.
2. A design method of a pi-shaped support is characterized in that the pi-shaped support comprises a strip-shaped pedestal (5) and two support piles (4) for supporting the pedestal; the design method comprises the following steps:
s1, setting the angle theta of the inclined strut and the target value F of the supporting force, and defining a design parameter set { L } x D, B, B, D, L }, wherein L x The height of the support pile is shown, and D represents the equivalent diameter of the support pile; b represents the length of the pedestal, B represents the pedestal width, and d represents the pedestal height; the two support piles are arranged along the length direction of the pedestal, and l represents the clear distance between the axes of the two support piles;
Figure FDA0003642941660000014
a is the horizontal cross-sectional area of the support pile, and pi is the circumferential rate;
s2, selecting different values according to each parameter in the design parameter set, and constructing a plurality of design parameter sets serving as sample sets, wherein at least one parameter in any two sample sets is different;
s3, calculating a predicted supporting force value F corresponding to each sample set according to the following formula (1) θ Arranging the predicted values of the supporting force larger than F in the order from small to large to form a supporting force candidate queue;
Figure FDA0003642941660000021
wherein: alpha is the angular correlation coefficient and alpha is the angular correlation coefficient,
Figure FDA0003642941660000022
ζ is a coefficient of area correlation,
Figure FDA0003642941660000023
S u the shear strength of the soil body without drainage is obtained through an in-situ test;
A f is the effective projection area of the n-shaped support in the horizontal direction, A f =η 1 L x D+η 2 bd; (4)
η 1 Is a size correlation coefficient, η 1 =0.28(l/D) 0.45 ; (5)
η 2 The coefficient related to the loose degree of the soil body behind the pedestal is taken as the value in the interval of 0-1 eta 2 Is an empirical value;
s4, the first predicted value F in the supporting force candidate queue θ As design value of holding force F u
S5, binding F u The corresponding sample set calculates the value range of theta according to the following formulas (6) and (7);
Figure FDA0003642941660000024
Figure FDA0003642941660000025
v represents the required horizontal force at the fulcrum, and is a design value; the supporting point is the intersection of the diagonal brace and the enclosure structure;
s6, selecting a selected median value from the theta value range according to a set angle screening rule, and combining the selected median value with F u The corresponding sample set and the method for calculating the inclined strut displacement of the pi-shaped support according to claim 1, wherein the horizontal position corresponding to each selected value in the theta value range is calculated by traversing each selected valueDisplacement Δ x and vertical displacement Δ y;
s7, defining parameter screening conditions, namely that deltax is less than or equal to a preset transverse deviation threshold value x 0 Δ y is less than or equal to a preset vertical offset threshold y 0 (ii) a Judging whether the { delta x, delta y } in the S6 meets the parameter screening condition;
if not, the next predicted value F in the supporting force candidate queue is used θ As design value F of supporting force u And returns to step S5;
if yes, selecting a group from { delta x, delta y } meeting parameter screening conditions as optimal displacement, and acquiring theta corresponding to the optimal displacement as a target value theta of the angle of the inclined strut 0 Will F u Corresponding sample set as target parameter set { L x ', D', B ', B', D ', L' }, wherein L x 'denotes the pedestal pile height, D' denotes the equivalent diameter of the pedestal pile; b ' represents the length of the pedestal, B ' represents the pedestal width, and d ' represents the pedestal height; two support piles are arranged along the length direction of the pedestal, and l' represents the axle center clear distance of the two support piles.
3. The method of designing a Π -shaped holder of claim 2 wherein the angular screening rules in S6 are: acquiring all integer values in a value range of theta as a selected value;
or selecting a selected median value from the theta value range according to the set interval value;
or, the number of selected median values is set according to the span of the theta value range, and then the selected median values are equidistantly selected from the theta value range according to the number of the selected median values.
4. The method of claim 2, wherein in S7, the threshold x is laterally offset 0 Equal to 3 per mill of support pile length and vertical deviation threshold y 0 Equal to 1 thousandth of the pile length of the support pile.
5. The method of claim 2 wherein in S7, a set of { Δ x, Δ y } satisfying parameter selection conditions is selected as the optimal displacement according to a predetermined displacement selection rule; the displacement selection rule is as follows: acquiring { delta x, delta y } of the corresponding evaluation value, which is minimum, as the optimal displacement; the evaluation value is the sum of Δ x and Δ y.
6. The method of claim 2 wherein η in S5 is η 2 Value of and eta in S3 2 The values of (A) are consistent.
7. Support method using a n-type support, characterized in that a set of target parameters { L } is obtained according to the design method of a n-type support according to any one of claims 2 to 6 x ', D', B ', B', D ', l' } and a target value of the strut angle theta 0 According to the target parameter set { L x ', D', B ', B', D ', l' } designing and manufacturing a n-shaped support (2); according to the target value theta of the inclined strut angle 0 And installing a diagonal brace (7).
8. A support method using a n-shaped support according to claim 7, wherein the non-drainage shear strength S of the soil body at the construction position of the n-shaped support is obtained through an in-situ test u Then, a set of target parameters { L } is obtained according to the method of designing a Π -type support according to any one of claims 2 to 6 x ', D', B ', B', D ', l' } and a target value of the strut angle theta 0 (ii) a The soil body at the construction position of the n-shaped support is an original soil body or an improved soil body.
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