CN106320399A - In-service bridge pile foundation side friction calculating method considering load bearing process influence - Google Patents

In-service bridge pile foundation side friction calculating method considering load bearing process influence Download PDF

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CN106320399A
CN106320399A CN201610942678.0A CN201610942678A CN106320399A CN 106320399 A CN106320399 A CN 106320399A CN 201610942678 A CN201610942678 A CN 201610942678A CN 106320399 A CN106320399 A CN 106320399A
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pile
stratum
side friction
stage
soil
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CN106320399B (en
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杨宇
娄峰
马晔
宋春霞
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Hangzhou Gong Ke road and bridge Technology Co., Ltd.
Zhong Zhong hi tech traffic inspection & Certification Co., Ltd.
Research Institute of Highway Ministry of Transport
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Hangzhou Gong Ke Road And Bridge Technology Co Ltd
Research Institute of Highway Ministry of Transport
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    • EFIXED CONSTRUCTIONS
    • E02HYDRAULIC ENGINEERING; FOUNDATIONS; SOIL SHIFTING
    • E02DFOUNDATIONS; EXCAVATIONS; EMBANKMENTS; UNDERGROUND OR UNDERWATER STRUCTURES
    • E02D33/00Testing foundations or foundation structures
    • EFIXED CONSTRUCTIONS
    • E02HYDRAULIC ENGINEERING; FOUNDATIONS; SOIL SHIFTING
    • E02DFOUNDATIONS; EXCAVATIONS; EMBANKMENTS; UNDERGROUND OR UNDERWATER STRUCTURES
    • E02D27/00Foundations as substructures
    • E02D27/10Deep foundations
    • E02D27/12Pile foundations

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  • Engineering & Computer Science (AREA)
  • Life Sciences & Earth Sciences (AREA)
  • General Life Sciences & Earth Sciences (AREA)
  • Mining & Mineral Resources (AREA)
  • Paleontology (AREA)
  • Civil Engineering (AREA)
  • General Engineering & Computer Science (AREA)
  • Structural Engineering (AREA)
  • Investigation Of Foundation Soil And Reinforcement Of Foundation Soil By Compacting Or Drainage (AREA)

Abstract

The invention relates to the field of engineering construction, in particular to an in-service bridge pile foundation side friction calculating method considering a load bearing process influence. The method comprises following steps: A, according to the stratum depth, a pile foundation is divided into N segments, the stratum corresponding to the pile segment i is marked as the stratum i; B, according to differences of pile foundation load bearing, a pile forming stage, an operating stage and a transforming stage are included, and the total stress P0i, P1i and P2i of surrounding soil of piles of the layers i of the three stages is calculated; C, the stratum i is subject to sampling, the soil initial void ratio e0i is measured, the compression test is carried out, and the surrounding soil initial void ratios e1i and e2i of stratum piles i corresponding to the P1i and P2i are obtained; D, side soil compression modulus Es1i and side soil compression modulus Es2i of the stratum piles i of the operating stage and the transforming stage are calculated; E, according to the side friction initial standard value tau0i of the stratum i of the pile forming stage, the side friction initial exerting value tau1i of the stratum i of the operating stage, the compression modulus Es1i and the compression modulus Es2i, the side friction standard value tau2i of the stratum i of the transforming stage is obtained through calculation. Through processing of the above steps, precision of the finally-calculated side friction standard value can be ensured.

Description

Consider the treatment rates pile foundation side friction computational methods of load-bearing process influence
Technical field
The present invention relates to engineering construction field, particularly to a kind for the treatment of rates pile foundation side considering load-bearing process influence Frictional resistance computational methods.
Background technology
How to determine that existing foundation pile axial bearing capacity is the most unsolved technical barrier.Pile foundation is undertaking vertical lotus After load, side friction between stake and Pile side soil, can be produced.Side friction between stake and Pile side soil can be considered semi-infinite elastic solid Internal axial force, and in Pile side soil body, form additional stress.The performance degree of the side friction between stake and Pile side soil is in stake The construction on basis, run, the load-bearing stage such as transformation there are differences, cause constructing, run, in the load-bearing stage Pile side soil body such as transformation The additional stress formed there is also difference.The difference of additional stress in different phase Pile side soil, can cause Pile side soil modulus of compressibility Changing, the change of modulus of compressibility can cause soil around pile side friction standard value to change, and there is presently no good side Method determines soil around pile side friction after transformation.
Summary of the invention
It is an object of the invention to provide a kind for the treatment of rates pile foundation side friction considering load-bearing process influence to calculate Method,
For realizing object above, the technical solution used in the present invention is: a kind for the treatment of rates considering load-bearing process influence Pile foundation side friction computational methods, comprise the steps: that pile foundation is divided into N section by (A) base area layer depth, and pile cutoff i is corresponding Stratum is designated as stratum i, wherein i={1, and 2 ..., N};(B) it is divided into pile stage, operation stage according to the difference of pile foundation load-bearing and changes Make the stage, calculate pile stage, operation stage and i-th layer of soil around pile total stress P of alteration stage respectively0i、P1i、P2i;(C) right Stratum i sampling and measuring soil body initial void ratio e0i, then it is compressed test, obtains and P1i、P2iCorresponding stratum i soil around pile Body void ratio e1i、e2i;(D) operation stage, alteration stage stratum i Pile side soil body Modulus of pressure E are calculated respectivelys1i、Es2i;(E) root According to pile stage stratum i side friction primary standard value τ0i, stratum i side friction performance value τ operation stage1iAnd compression mould Amount Es1i、Es2iIt is calculated alteration stage stratum i side friction standard value τ2i
Compared with prior art, there is techniques below effect in the present invention: runs the phase actual load undertaken, meter according to foundation pile Calculate foundation pile Pile side soil in the operation additional stress of soil of phase and total stress, according to bridge increment of stake top power after transformation, pass through The method of loading test determines that the soil body, in improved additional stress of soil and total stress, is then sampled, according to operation by bridge Soil body total stress after phase, transformation, carries out soil body compression test, and then the modulus of compressibility of the soil body after calculating operation phase, transformation, sets up Relation between the change of soil around pile modulus of compressibility and the change for the treatment of rates pile foundation Pile side soil frictional resistance standard value, according to fortune The change of the modulus of compressibility of the load-bearing stage treatment rates pile foundation Pile side soil such as battalion, transformation, the treatment rates of assessment settlement stability Pile foundation is in the standard value of the load-bearing stage pile side frictions such as transformation, by a series of process, it is ensured that rub in the side finally calculated The accuracy of resistance criteria value.
Accompanying drawing explanation
Fig. 1 is the schematic flow sheet of the present invention;
Fig. 2 is soil around pile load-bearing situation schematic diagram, and wherein Fig. 2 a is the pile stage, and Fig. 2 b is the test pile stage, and Fig. 2 c is fortune In battalion's stage, Fig. 2 d is the alteration stage that superstructure is not removed, and Fig. 2 e is the alteration stage that superstructure is removed;
Fig. 3 is each coordinate schematic diagram in step E.
Detailed description of the invention
Below in conjunction with Fig. 1 to Fig. 3, the present invention is described in further detail.
Refering to Fig. 1, a kind for the treatment of rates pile foundation side friction computational methods considering load-bearing process influence, including as follows Step: pile foundation is divided into N section by (A) base area layer depth, stratum corresponding for pile cutoff i is designated as stratum i, wherein i={1, and 2 ..., N}; (B) it is divided into pile stage, operation stage and alteration stage according to the difference of pile foundation load-bearing, calculates pile stage, operation rank respectively Section and i-th layer of soil around pile total stress P of alteration stage0i、P1i、P2i;(C) to stratum i sampling and measuring soil body initial void ratio e0i, Then it is compressed test, obtains and P1i、P2iCorresponding stratum i pile peripheral earth void ratio e1i、e2i;(D) operation rank are calculated respectively Section, alteration stage stratum i Pile side soil body Modulus of pressure Es1i、Es2i;(E) according to pile stage stratum i side friction primary standard Value τ0i, stratum i side friction performance value τ operation stage1iAnd Modulus of pressure Es1i、Es2iIt is calculated i side, alteration stage stratum Frictional resistance standard value τ2i.Run the phase actual load undertaken according to foundation pile, calculate the foundation pile Pile side soil soil body in the operation phase and add By the method for loading test, stress and total stress, according to bridge increment of stake top power after transformation, determine that bridge is after transformation Additional stress of soil and total stress, then to the soil body sample, according to operation the phase, transformation after soil body total stress, carry out soil body pressure Contracting test, then the modulus of compressibility of the soil body after calculating operation phase, transformation, sets up the change of soil around pile modulus of compressibility and treatment rates stake Relation between the change of basis Pile side soil frictional resistance standard value, according to load-bearing stage treatment rates pile foundations such as operation, transformations The change of the modulus of compressibility of Pile side soil, the treatment rates pile foundation of assessment settlement stability is at load-bearing stage pile side frictions such as transformations Standard value, by a series of process, it is ensured that the accuracy of the side friction standard value finally calculated.
Refering to Fig. 2, i-th layer of soil around pile total stress P of pile stage, operation stage and alteration stage0i、P1i、P2iCan lead to Cross various ways to calculate, in described step B in the present embodiment preferably, i-th layer of soil around pile total stress of pile stageγ in formulakFor the kth average severe of layer soil around pile, severe i.e. density is multiplied by acceleration of gravity, ZkFor kth layer soil around pile average thickness;Operation stage i-th layer of soil around pile total stress P1iczi1i, σ in formula1iFor operation stage I-th layer of soil around pile average additional stress;Alteration stage, i-th layer of soil around pile total stress P when superstructure does not remove reconstruction2iIt is designated as P′2i, superstructure removes i-th layer of soil around pile total stress P when rebuilding2iIt is designated as P "2i;P′2iczi1i2i, σ in formula2iFor top When structure does not removes reconstruction, the additional stress that i-th layer of soil around pile increases after the transformation that alteration stage undertakes;P″2iczi2i= σczi1i+Δσ2i, Δ σ in formula2iWhen removing reconstruction for superstructure, the additional stress that i-th layer of soil around pile undertakes at alteration stage Increment.For alteration stage, it is the transformation removed and rebuild or do not remove reconstruction two ways by differentiation, by different public affairs Formula calculates, and process is more succinct.It practice, do not remove the formula P ' of reconstruction2iczi1i2iIn σ2iIt can be appreciated that Remove Δ σ when rebuilding2i
Specifically, modulus of compressibility can calculate according to formula below, in described step D, operation stage stratum i Pile side soil body Modulus of pressure Es1i=(1+e0i)(P1i-P0i)/(e0i-e1i);Alteration stage, stratum when superstructure does not remove reconstruction I Pile side soil body Modulus of pressure Es2iIt is designated as E 's2i, superstructure removes stratum i Pile side soil body Modulus of pressure E when rebuildings2iIt is designated as E″s2i, E ' in formulas2i=(1+e1i)(P2i-P1i)/(e1i-e2i), E "s2i=(1+e1i)(P2i-P0i)/(e1i-e2i)。
It is previously mentioned σ when superstructure does not remove reconstruction2iBe equivalent to superstructure and remove Δ σ when rebuilding2i, σ1iWith Δσ2iThe a variety of mode that has can calculate, in described step B in the present embodiment preferably, i-th layer of stake operation stage All soil average additional stress σ1iTry to achieve as follows: (B1) holds steadily in the long term according to actual measurement operation phase displacement at pile top S1 and foundation pile The load P1 of load calculates side friction performance value τ on each stratum1iPile-soil relative displacement S with soil around pile1i;(B2) rub according to side Development of resistance value τ1iCalculate τ1iThe additional stress the summation that produce stratum i obtain σ1i;(B3) before superstructure is transformed, logical Cross and load in a suitable manner above pile foundation, loading capacity not less than after Bridge Reconstruction or current class of loading improve after stake top power Increment, stake top deflection after test loading, calculate each stratum side friction according to stake top deflection S2 after loading capacity P2, loading and send out Wave increment Delta τ of value2i;(B4) according to side friction performance value Δ τ2iCalculate Δ τ2iTo stratum i produce additional stress and sue for peace Obtain Δ σ2i.So on the one hand, side friction performance value τ on each stratum can be calculated1i, facilitate in step E and carry out next step Calculate, also on the other hand be able to calculate the most accurately σ1iValue.
Specifically, in described step B1 and step B3, the side friction being calculated each stratum as follows plays Value τ1iOr increment Delta τ of each stratum side friction performance value2i;(S21) stake soil computation model is set up;(S22) stake soil initial stiffness Take 0~25 any number along change in depth rate p, p substituted in stake soil computation model and assume each pile cutoff initial stiffness and buried depth The loaded load that the side friction of pile cutoff linear, each is corresponding with pile cutoff top settling amount this p value of linear calculating PpWith settling amount Sp;(S23) by comparing Pp/SpWith the value of P/S, constantly the value of p is adjusted, until Pp/SpAnd P/S Difference less than set threshold value;(S24) final p value substituted in stake soil computation model and assume each pile cutoff initial stiffness and bury Deep linear calculating each pile cutoff load Transfer Parameters;(S25) substitute into stake soil according to each pile cutoff load Transfer Parameters and calculate mould Type is calculated side friction performance value τ on each stratum1iOr increment Delta τ of each stratum side friction performance value2i;Above-mentioned step In Zhou, when P, S take P1, S1, the last calculated result of step S25 is side friction performance value τ on each stratum1i, P, S take When P2, S2, the last calculated result of step S25 is increment Delta τ of each stratum side friction performance value2i.Carry according to loading Lotus P and settling amount S calculation side frictional resistance performance value τ of its correspondence1iOr increment Delta τ of side friction performance value2iConcrete side Case, our company application patent of invention " use thin tail sheep load determine vertical bearing capacity method " (application number: 201610285979.0;The applying date: on 05 03rd, 2016) in be documented in detail, the most just repeat no more.
Specifically, in described step B2 and step B4, it is calculated σ as follows1iOr Δ σ2i;(S11) note τ1~ τm-1On the i-th layer of soil around pile bottom surface annulus caused, the additional stress of any point j is σzmij, τ1~τmThis point cause additional should Power is σ 'zmij, σzmijWith σ 'zmijAccording to pile cutoff m side friction performance value, using Geddes to solve and calculate, these computational methods exist Page 178~181 of " pile foundation engineering handbook " (China Construction Industry Press publishes, and nineteen ninety-five JIUYUE is published) have detailed introduction, The most just repeat no more;(S12) additional stress of any point j on i-th layer of soil around pile bottom surface annulus that pile cutoff m side friction causes σ″zmijzmij-σ′zmij;(S13) by the σ of i-th layer of soil around pile bottom surface each point "zmijAverage and obtain pile cutoff m side friction and draw Rise i-th layer of soil around pile bottom surface annulus average additional stress σ "zmi;(S14) repeat step S1-S3 calculating pile cutoff m side friction to draw The i-th layer of soil around pile end face annulus average additional stress σ ' risenzmi;(S15) i-th layer of soil around pile ring that pile cutoff m side friction causes Band average additional stress σ 'mi=(σ′zmi+σ″zmi)/2;(S16) to σ 'miSummation is i.e.The result obtained is σ1iOr Δσ2i;In above-mentioned steps, { τ1、τ2、…、τm、…、τNTake { τ11、τ12、…、τ1NTime, step S16 is calculated σ1i;{τ1、 τ2、…、τm、…、τNTake { Δ τ21、Δτ22、…、Δτ2NTime, step S16 is calculated Δ σ2i
Refering to Fig. 3, as the preferred version of the present invention, described step E comprises the steps: that (E1) sets up rectangular coordinate System, abscissa represents pile-soil relative displacement, and vertical coordinate represents soil around pile side friction value, and rectangular coordinate system initial point is designated as O;(E2) It is starting point from coordinate axes initial point, with Es1iDo straightway for slope, remember that the ordinate value that straightway terminal is X, X point is pile rank Section stratum i side friction primary standard value τ0i, τ0iDetermine according to design document or exploration report, then the abscissa value that X point is corresponding S0i0i/Es1i;(E3) in OX line segment, with stratum i side friction performance value τ operation stage1iA Y, X is determined for ordinate value Abscissa value S that point is corresponding1i1i/Es1i;(E4) with Y point as starting point, Es2iDoing straightway for slope, the terminal of note straightway is Abscissa value S of Z, Z point2iAbscissa value S with X point0iEqual, the ordinate value τ of Z point2iMeet equation: τ2i1i=Es2i (S2i-S1i), by S2i=S0i0i/Es1i、S1i1i/Es1iSubstitute into equation and try to achieve τ2i.During Practical Calculation, it is not necessary to according to step, directly Connect and just can draw τ according to the equation in step E42i.By the process of these steps, last counted τ2iWith actual value very Close, error is the least, can use as improved standard value.

Claims (7)

1. consider treatment rates pile foundation side friction computational methods for load-bearing process influence, comprise the steps:
(A) pile foundation is divided into N section by base area layer depth, and stratum corresponding for pile cutoff i is designated as stratum i, wherein i={1, and 2 ..., N};
(B) it is divided into pile stage, operation stage and alteration stage according to the difference of pile foundation load-bearing, calculates pile stage, fortune respectively Battalion's stage and i-th layer of soil around pile total stress P of alteration stage0i、P1i、P2i
(C) to stratum i sampling and measuring soil body initial void ratio e0i, then it is compressed test, obtains and P1i、P2iCorresponding ground Layer i pile peripheral earth void ratio e1i、e2i
(D) operation stage, alteration stage stratum i Pile side soil body Modulus of pressure E are calculated respectivelys1i、Es2i
(E) according to pile stage stratum i side friction primary standard value τ0i, stratum i side friction performance value τ operation stage1iWith And Modulus of pressure Es1i、Es2iIt is calculated alteration stage stratum i side friction standard value τ2i
2. the treatment rates pile foundation side friction computational methods considering load-bearing process influence as claimed in claim 1, it is special Levy and be: in described step B,
I-th layer of soil around pile total stress of pile stageγ in formulakThe heaviest for kth layer soil around pile Degree, ZkFor kth layer soil around pile average thickness;
Operation stage i-th layer of soil around pile total stress P1iczi1i, σ in formula1iThe most additional for i-th layer of soil around pile operation stage Stress;
Alteration stage, i-th layer of soil around pile total stress P when superstructure does not remove reconstruction2iIt is designated as P '2i, superstructure is removed and is rebuild Time i-th layer of soil around pile total stress P2iIt is designated as P "2i
P′2iczi1i2i, σ in formula2iWhen not removing reconstruction for superstructure, i-th layer of soil around pile undertakes at alteration stage The additional stress increased after transformation;
P″2iczi2iczi1i+Δσ2i, Δ σ in formula2iWhen removing reconstruction for superstructure, i-th layer of soil around pile is in transformation The additional stress increment that stage undertakes.
3. the treatment rates pile foundation side friction computational methods considering load-bearing process influence as claimed in claim 2, it is special Levy and be: in described step D,
Operation stage stratum i Pile side soil body Modulus of pressure Es1i=(1+e0i)(P1i-P0i)/(e0i-e1i);
Alteration stage, stratum i Pile side soil body Modulus of pressure E when superstructure does not remove reconstructions2iIt is designated as E 's2i, superstructure is torn open Except stratum i Pile side soil body Modulus of pressure E when rebuildings2iIt is designated as E "s2i, E ' in formulas2i=(1+e1i)(P2i-P1i)/(e1i-e2i), E″s2i=(1+e1i)(P2i-P0i)/(e1i-e2i)。
4. the treatment rates pile foundation side friction computational methods considering load-bearing process influence as claimed in claim 2, it is special Levy and be: in described step B, operation stage i-th layer of soil around pile average additional stress σ1iTry to achieve as follows:
(B1) the load P1 undertaken steadily in the long term according to actual measurement operation phase displacement at pile top S1 and foundation pile calculates the side frictional resistance on each stratum Power performance value τ1iPile-soil relative displacement S with soil around pile1i
(B2) according to side friction performance value τ1iCalculate τ1iThe additional stress the summation that produce stratum i obtain σ1i
(B3) before superstructure is transformed, by loading in a suitable manner above pile foundation, loading capacity is not less than after Bridge Reconstruction Or current class of loading improve after the increment of stake top power, test load after stake top deflection, according to loading capacity P2, load after stake top Deflection S2 calculates increment Delta τ of each stratum side friction performance value2i
(B4) according to side friction performance value Δ τ2iCalculate Δ τ2iThe additional stress the summation that produce stratum i obtain Δ σ2i
5. the treatment rates pile foundation side friction computational methods considering load-bearing process influence as claimed in claim 4, it is special Levy and be: in described step B1 and step B3, be calculated side friction performance value τ on each stratum as follows1iOr it is each Increment Delta τ of stratum side friction performance value2i
(S21) stake soil computation model is set up;
(S22) stake soil initial stiffness takes 0~25 any number along change in depth rate p, is substituted into by p in stake soil computation model and assumes Each pile cutoff initial stiffness is linear with buried depth, side friction and the linear calculating of settling amount of pile cutoff top of each pile cutoff Loaded load P that this p value is correspondingpWith settling amount Sp
(S23) by comparing Pp/SpWith the value of P/S, constantly the value of p is adjusted, until Pp/SpLittle with the difference of P/S In setting threshold value;
(S24) final p value substituted in stake soil computation model and assume each pile cutoff initial stiffness and the linear meter of buried depth Calculate each pile cutoff load Transfer Parameters;
(S25) play according to the side friction being calculated each stratum in each pile cutoff load Transfer Parameters substitution stake soil computation model Value τ1iOr increment Delta τ of each stratum side friction performance value2i
In above-mentioned steps, when P, S take P1, S1, the last calculated result of step S25 is the side friction performance value on each stratum τ1i, when P, S take P2, S2, the last calculated result of step S25 is increment Delta τ of each stratum side friction performance value2i
6. the treatment rates pile foundation side friction computational methods considering load-bearing process influence as claimed in claim 4, it is special Levy and be: in described step B2 and step B4, be calculated σ as follows1iOr Δ σ2i
(S11) note τ1~τm-1On the i-th layer of soil around pile bottom surface annulus caused, the additional stress of any point j is σzmij, τ1~τmAt this The additional stress that point causes is σ 'zmij, σzmijWith σ 'zmijAccording to pile cutoff m side friction performance value, use Geddes to solve and calculate;
(S12) additional stress σ of any point j on i-th layer of soil around pile bottom surface annulus that pile cutoff m side friction causes "zmijzmij- σ′zmij
(S13) by the σ of i-th layer of soil around pile bottom surface each point "zmijAverage and obtain i-th layer of stake week that pile cutoff m side friction causes Soil bottom surface annulus average additional stress σ "zmi
(S14) repeat step S1-S3 and calculate i-th layer of soil around pile end face annulus average additional stress that pile cutoff m side friction causes σ′zmi
(S15) i-th layer of soil around pile annulus average additional stress σ ' that pile cutoff m side friction causesmi=(σ 'zmi+σ″zmi)/2;
(S16) to σ 'miSummation is i.e.The result obtained is σ1iOr Δ σ2i
In above-mentioned steps, { τ1、τ2、…、τm、…、τNTake { τ11、τ12、…、τ1NTime, step S16 is calculated σ1i;{τ1、 τ2、…、τm、…、τNTake { Δ τ21、Δτ22、…、Δτ2NTime, step S16 is calculated Δ σ2i
7. the treatment rates pile foundation side friction computational methods considering load-bearing process influence as claimed in claim 5, it is special Levy and be: described step E comprises the steps:
(E1) setting up rectangular coordinate system, abscissa represents pile-soil relative displacement, and vertical coordinate represents soil around pile side friction value, right angle Coordinate origin is designated as O;
(E2) from coordinate axes initial point be starting point, with Es1iDoing straightway for slope, note straightway terminal is the ordinate value of X, X point For pile stage stratum i side friction primary standard value τ0i, τ0iDetermine according to design document or exploration report, then X point is corresponding Abscissa value S0i0i/Es1i
(E3) in OX line segment, with stratum i side friction performance value τ operation stage1iA Y, X point correspondence is determined for ordinate value Abscissa value S1i1i/Es1i
(E4) with Y point as starting point, Es2iStraightway, abscissa value S that terminal is Z, Z point of note straightway is done for slope2iWith X point Abscissa value S0iEqual, the ordinate value τ of Z point2iMeet equation: τ2i1i=Es2i(S2i-S1i), by S2i=S0i0i/ Es1i、S1i1i/Es1iSubstitute into equation and try to achieve τ2i
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JP7261344B1 (en) 2022-08-15 2023-04-19 中国長江三峡集団有限公司 Pile foundation pull-down force prediction method, device, and electronic device

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CN105926687A (en) * 2016-05-03 2016-09-07 交通运输部公路科学研究所 Method for determining vertical bearing capacity of pile foundation by adopting small displacement loading

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JP7261344B1 (en) 2022-08-15 2023-04-19 中国長江三峡集団有限公司 Pile foundation pull-down force prediction method, device, and electronic device
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