CN106320394A - Simplified analysis method for prestress expansion anchor cable anchoring structure deformation - Google Patents

Simplified analysis method for prestress expansion anchor cable anchoring structure deformation Download PDF

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CN106320394A
CN106320394A CN201610704705.0A CN201610704705A CN106320394A CN 106320394 A CN106320394 A CN 106320394A CN 201610704705 A CN201610704705 A CN 201610704705A CN 106320394 A CN106320394 A CN 106320394A
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anchor cable
anchor
cable
displacement
load
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CN106320394B (en
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张敬
张敬一
蒋志军
陈智芳
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Sichuan Academy of Architectural Sciences Co., Ltd.
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Sichuan Institute of Building Research
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    • E—FIXED CONSTRUCTIONS
    • E02—HYDRAULIC ENGINEERING; FOUNDATIONS; SOIL SHIFTING
    • E02D—FOUNDATIONS; EXCAVATIONS; EMBANKMENTS; UNDERGROUND OR UNDERWATER STRUCTURES
    • E02D33/00—Testing foundations or foundation structures
    • E—FIXED CONSTRUCTIONS
    • E02—HYDRAULIC ENGINEERING; FOUNDATIONS; SOIL SHIFTING
    • E02D—FOUNDATIONS; EXCAVATIONS; EMBANKMENTS; UNDERGROUND OR UNDERWATER STRUCTURES
    • E02D5/00—Bulkheads, piles, or other structural elements specially adapted to foundation engineering
    • E02D5/74—Means for anchoring structural elements or bulkheads

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  • Structural Engineering (AREA)
  • Life Sciences & Earth Sciences (AREA)
  • General Life Sciences & Earth Sciences (AREA)
  • Mining & Mineral Resources (AREA)
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  • Civil Engineering (AREA)
  • General Engineering & Computer Science (AREA)
  • Piles And Underground Anchors (AREA)

Abstract

The invention discloses a simplified analysis method for prestress expansion anchor cable anchoring structure deformation. The method comprises the following steps that an ultimate pull-out test is carried out on an anchor cable, a load-displacement cyclic curve is obtained, and a load-displacement curve is obtained through arrangement; a creep test is carried out on the anchor cable, a creep-time relation curve and a creep rate relational expression are obtained, and the creep value of the anchor cable which reaches the designed working life is determined; the prestress loss value of the anchor cable is determined in the load-displacement curve by means of designed uplift bearing capacity and the creep value of the anchor cable which reaches the designed working life; prestress of the anchor cable which reaches the designed working life is determined by means of a designed prestress tension locking value and the prestress loss value; anchor cable total deformation of the anchor cable which reaches the designed working life is calculated by means of the designed uplift bearing capacity, the prestress of the anchor cable which reaches the designed working life and design parameters of the anchor cable and an anchoring structure; and the anchoring structure deformation is determined by means of the anchor cable total deformation and the included angle between the anchor cable and an anchoring structural face, and finally whether the anchoring structure deformation meets using requirements or not is evaluated.

Description

Prestressing force expands the reduced chemical reaction kinetics model of body anchorage cable anchoring malformation
Technical field
The present invention relates to civil engineering Anchorage Technology field, more particularly, relate to a kind of prestressing force and expand body anchor cable The reduced chemical reaction kinetics model of anchor structure deformation.
Background technology
Geotechnical Engineering anchorage technology can more fully hereinafter call and improve Rock And Soil self-strength and self-stable ability with it, reduces Structural volume and deadweight, save the advantage such as material and labor cost, beneficially construction safety and be widely used in deep big foundation pit and prop up The fields such as nurse's journey, underground space anti-floating engineering.Along with engineering circles is to high-bearing capacity anchor pole increase in demand, recent domestic is big Power develops all kinds of anchoring new techniques, and the expansion body anchor cable increasing anchored end diameter is exactly one of them.
Expanding body anchor cable is a kind of friction and end-bearing model anchor cable, has bearing capacity height, deforms little, safety advantages of higher.In recent years Engineer applied gradually increases, and its design of the further specification of release of Specification and construction, such as " high-pressure injection enlarged footing anchor Pole technology specification " JGJ/T 282, " rock soil anchor (rope) technical regulation " CECS22 etc..When normal tensile type anchor cable exists resistance to plucking Lack of support, the place underground space is limited and cannot meet execution conditions and Deformation control requirement, or place exists a large amount of During the notable stratum of the creep such as swelled ground, soft clay, preferably use expansion body anchor cable.
During in order to strictly control the deformation of anchor structure, stratum and surrounding enviroment and settle, also need to use prestressing force to expand body Anchor cable.Prestressing force expands the meaning of body anchorage cable anchoring malformation assessment and is embodied in: 1) consider anchor cable creep and stress relaxation effect Time, determine anchor structure thing, such as side slope, foundation ditch, underground structure etc., deform whether to meet to design in design life and want Ask；2) anchorage cable design parameter is determined, as the most reasonable in anti-pulling capacity, prestressed stretch-draw lock value, freedom length etc.；3) true Determine prestressing force and expand the adaptability of body anchor cable；4) at present prestress anchorage cable is relevant technical standard, specification, as " high-pressure injection expands Head mooring rod technique specification " JGJ/T 282, " rock soil anchor (rope) technical regulation " CECS22 etc., there is no definite anchor structure Deformation analysis appraisal procedure.Based on above four aspects, propose effective prestressing force and expand the deformation values of body anchorage cable anchoring structure Method is the most necessary.
Summary of the invention
In order to solve problems of the prior art, it is an object of the invention to provide one and consider creep and stress pine Relaxation effect and the deformation of anchor structure thing within the design use cycle can be assessed whether meet and use the prestressing force required to expand The reduced chemical reaction kinetics model of body anchorage cable anchoring malformation.
The invention provides a kind of prestressing force and expand the reduced chemical reaction kinetics model of body anchorage cable anchoring malformation, described deformation analysis Method comprises the following steps:
A, the limit pullout tests being circulated anchor cable under load, obtain the load-displacement cyclic curve of anchor cable whole Reason obtains load-displacement curve；
B, creep test anchor cable being designed under anti-pulling capacity, obtain anchor cable creep-time curve and Creep rate relational expression, and determine creep compliance when anchor cable reaches design life；
Creep compliance when C, the design anti-pulling capacity utilizing anchor cable and described design life is at load-displacement curve The middle prestress loss value determining anchor cable；
D, the design prestressed stretch-draw lock value utilizing anchor cable and described prestress loss value determine that anchor cable reaches design and uses The prestressing force that year prescribes a time limit；
E, utilize anchor cable design anti-pulling capacity, described in prestressing force when reaching design life and anchor cable and anchoring The calculation of design parameters anchor cable of structure reaches anchor cable total deformation during design life；
The angle between anchor cable total deformation and anchor cable and anchor structure face when reaching design life described in F, utilization is true Determine anchor structure displacement, described anchor structure displacement and anchor structure allow displacement carry out contrasting later evaluation prestressing force and expands body anchor Can the deformation of rope anchor structure meet use requirement,
Wherein, described anchor cable is that prestressing force expands body anchor cable, and described anchor structure is to expand body anchorage cable anchoring with prestressing force to be connected To provide pulling force, reduce anchor structure displacement and ensure the structure of structural safety, such as foundation pit supporting pile, Anti-sliding Pile, underground The structure that room anti-floating base plate etc. is connected with anchorage cable anchoring.
Compared with prior art, the invention provides whether a kind of prestressing force considering creep and stress relaxation expands body anchor cable Meet and use the deformation values method required, to verifying that design parameter, assessment prestressing force expand effectiveness and the anchoring knot of body anchor cable Structure safety is significant, it is possible to assess whether the deformation of anchor structure thing within the design use cycle meets use requirement.
Accompanying drawing explanation
Fig. 1 shows that in the present invention, prestressing force expands the structural representation of body anchor cable.
Fig. 2 shows in the embodiment of the present invention that prestressing force expands body anchor cable and combines friction pile (i.e. anchor structure) and carry out supporting Structural representation.
Fig. 3 shows the load-displacement that embodiment of the present invention stream line obtains in cyclic load limit inferior pullout tests Cyclic curve.
Fig. 4 shows that the load-displacement obtained in embodiment of the present invention stream line cyclic load limit inferior pullout tests is bent Line.
Fig. 5 shows the displacement versus time loaarithmic curve that embodiment of the present invention stream line obtains in creep test.
Description of reference numerals:
Medium-height trestle, 6-sleeve pipe, 7-are resisted by 1-free segment, 2-non-expansion body anchoring section, 3-expansion body anchoring section, 4-steel strand wires, 5- Sliding pile, 8-ground, 9-anchor head, 10-side slope.
Detailed description of the invention
All features disclosed in this specification, or disclosed all methods or during step, except mutually exclusive Feature and/or step beyond, all can combine by any way.
Any feature of this disclosure, unless specifically stated otherwise, all can by other equivalence or there is replacing of similar purpose Replaced for feature.I.e., unless specifically stated otherwise, an example during each feature is a series of equivalence or similar characteristics and ?.
Expanding body anchor cable is a kind of friction and end-bearing model anchor cable, has bearing capacity height, deforms little, safety advantages of higher.When often It is not enough to there is anti-pulling capacity in rule tension type anchor cable, and the place underground space is limited and cannot meet execution conditions and Deformation control is wanted Ask, or when place exists the notable stratum of creep such as a large amount of swelled ground, soft clay, preferably use expansion body anchor cable.
Fig. 1 shows that in the present invention, prestressing force expands the structural representation of body anchor cable.As it is shown in figure 1, in the present invention pre-should Power expands body anchor cable and includes free segment 1 and the anchoring section being made up of non-expansion body anchoring section 2 and expansion body anchoring section 3, in composition, in advance should Power expand body anchor cable include being positioned at center steel strand wires 4, for realize steel strand wires centering to medium-height trestle 5 and be positioned at medium-height trestle The sleeve pipe 6 of 5 outer rings.Said structure is the conventional structure that prestressing force expands body anchor cable, and this is not specifically limited by the present invention.
The invention provides a kind of prestressing force considering creep and stress relaxation effect and expand body anchorage cable anchoring malformation Reduced chemical reaction kinetics model, the method can assess whether the deformation of anchor structure thing within the design use cycle meets use requirement.Root According to the exemplary embodiment of the present invention, described prestressing force expands the reduced chemical reaction kinetics model of body anchorage cable anchoring malformation by following many Individual step realizes.Wherein, involved anchor cable is that prestressing force expands body anchor cable, and involved anchor structure is to expand with prestressing force Body anchorage cable anchoring connects to provide pulling force, reduce anchor structure displacement and ensure the structure of structural safety, such as foundation pit supporting pile, limit The structure that slope friction pile, basement anti-floating base plate etc. are connected with anchorage cable anchoring.
Step A:
The limit pullout tests being circulated anchor cable under load, obtains the load-displacement cyclic curve of anchor cable and arranges Obtain load-displacement curve.
In this step, limit pullout tests is to use stage loading the increment test method of off-load and by recording often When secondary loading off-load, the displacement of anchor cable and load obtain the load-displacement cyclic curve of anchor cable.Further, according to load-displacement In cyclic curve and limit pullout tests, under every grade of load, the total displacement of anchor cable can convert and obtains load-displacement curve.
Step B:
Subsequently, anchor cable is designed the creep test under anti-pulling capacity, obtains the creep-time curve of anchor cable And creep rate relational expression, and determine creep compliance when anchor cable reaches design life.
In this step, creep test determines that the anchor cable time dependent test method of the displacement under constant load, this Invention specifically make use of the design anti-pulling capacity of anchor cable to carry out creep test as test permanent load.
Wherein, creep rate relational expression is following formula 1:
Wherein, S, S1It is respectively anchor cable at t, t1The creep compliance in moment；KeFor creep rate.Thus, then can utilize creep- Time curve and above-mentioned creep rate relational expression are calculated creep rate and creep compliance.
According to the present invention, according to creep rate relational expression and utilize the design life of anchor cable to be calculated to reach design and make With year creep compliance in limited time.
Step C:
Utilize the creep compliance during design life designing anti-pulling capacity and the acquisition of step B of anchor cable in load-position Move the prestress loss value determining anchor cable in curve.
In this step, the prestress loss value of anchor cable is to be determined on the load-displacement curve that step A obtains by elder generation to set Meter A point corresponding to anti-pulling capacity, recycles shift value corresponding to A point and the difference of creep compliance when reaching design life Value determines B point on load-displacement curve, and the difference of the payload values that the payload values that finally utilizes A point corresponding is corresponding with B point calculates Arrive.
Step D:
The design prestressed stretch-draw lock value and the prestress loss value that utilize anchor cable determine when anchor cable reaches design life Prestressing force.
In this step, prestressing force when reaching design life is to be deducted by the design prestressed stretch-draw lock value of anchor cable The prestress loss value that step C obtains is calculated.
Step E:
Utilize anchor cable design anti-pulling capacity, described in prestressing force when reaching design life and anchor cable and anchoring knot The calculation of design parameters anchor cable of structure reaches anchor cable total deformation during design life.
In this step, anchor cable total deformation when anchor cable reaches design life is calculated by following formula 2:
Δ l=Δ l1+Δl2+Δl3Formula 2,
Wherein, Δ l is anchor cable total deformation；Δl1Elastic deformation for free section of anchor cable；Δl2For between anchoring section and the soil body Tangential displacement；Δl3For the tangential displacement between anchor cable steel strand wires and anchoring section.Wherein, the elastic deformation of anchorage cable anchoring section is relative It is negligible for total deformation, therefore does not considers at this.
Specifically, the elastic deformation Δ l of free section of anchor cable1It is calculated by following formula 3:
Wherein, F is pulling force suffered by anchor cable；F0For the prestressed stretch-draw lock value that anchor cable is applied；FξFor loss of prestress Value；LSLength for free section of anchor cable；ESElastic modelling quantity for anchor cable steel strand wires；ASCross-sectional area for anchor cable steel strand wires.
Tangential displacement Δ l between anchoring section and the soil body2By elastic deformation and the soil body frictional resistance to anchoring section of anchoring section The deformation caused forms and is calculated by following formula 4:
Wherein, LaLength for anchor cable non-expansion body anchoring section；La1The length of body anchoring section is expanded for anchor cable；L′aFor frictional resistance Load assignment length in non-expansion body section, and L 'aMeet and work asTake L 'a=La, whenTakeL′a1For frictional resistance in the load assignment length expanded in body section, and L 'a1Full Foot is worked asTake L 'a1=La1, whenTakeEaNon-for anchor cable Expand the equivalent elastic modulus of body anchoring section, be represented byEcFor injecting cement paste elastic modelling quantity, EsFor anchor The elastic modelling quantity of rope steel strand wires, λ is the net sectional area ratio with the sectional area of anchoring section of anchor cable non-expansion body anchoring section steel strand wires； Ea1Expand the equivalent elastic modulus of body anchoring section for anchor cable, be represented byλ1Body anchor is expanded for anchor cable Gu the ratio of the net sectional area of section steel strand wires and the sectional area of anchoring section；AaCross-sectional area for anchor cable non-expansion body anchoring section； Aa1The cross-sectional area of body anchoring section is expanded for anchor cable；qskRub for the limit between the injecting cement paste of anchor cable non-expansion body anchoring section and soil layer Resistance strength standard value, qsk1The limit frictional strength standard value between the injecting cement paste of body anchoring section and soil layer, stratified foundation is expanded for anchor cable Under then use layering summation mode calculate；Da、Da1The diameter and the anchor cable that are respectively anchor cable non-expansion body anchoring section expand body anchoring section Diameter.
Tangential displacement Δ l between anchor cable steel strand wires and anchoring section3By anchor cable deformation under load action and anchor cable steel The deformation that twisted wire causes because of the bond stress of injecting cement paste forms and is calculated by following formula 5:
Wherein, fmSUltimate bond stress standard value for anchor cable steel strand wires Yu injecting cement paste；ζ is the bonding of anchor cable and injecting cement paste Duty work conditional coefficient, provisional anchor pole takes 0.67, and permanent anchor pole takes 0.45；DSDiameter for anchor cable steel strand wires.L″aFor Frictional resistance load assignment length on non-expansion body section steel strand wires, and L "aMeet and work asTake L "a=La, whenTakeL″a1For frictional resistance in the load assignment length expanded on body section steel strand wires, And L "a1Meet and work asTake L "a1=La1, whenTake
Step F:
Folder between anchor cable total deformation and anchor cable and the anchor structure face when the reaching design life that utilize that step E obtains Angle determines anchor structure displacement, anchor structure displacement and anchor structure allows displacement carry out contrasting later evaluation prestressing force and expands body anchor Can the deformation of rope anchor structure meet use requirement.
In this step, anchor structure displacement is calculated by following formula 6:
M=Δ lcos θ formula 6,
Wherein, m is anchor structure displacement；Δ l is anchor cable total deformation；θ is the angle between anchor cable and anchor structure face.
When deformation analysis, when anchor structure displacement m and anchor structure allow the relation between displacement n to meet m≤n, then Prestressing force expands the deformation of body anchorage cable anchoring structure and meets use requirement；In like manner, if m is ＞ n, then prestressing force expands body anchorage cable anchoring structure Deformation be unsatisfactory for use requirement.
The reduced chemical reaction kinetics model above-mentioned prestressing force being expanded body anchorage cable anchoring malformation below in conjunction with specific embodiment is carried out Illustrate.
Embodiment:
Fig. 2 shows in the embodiment of the present invention that prestressing force expands body anchor cable and combines friction pile (i.e. anchor structure) and carry out supporting Structural representation.As in figure 2 it is shown, the stratum in this slope support engineering be followed successively by from top to bottom miscellaneous fill, plain fill, clay, Sandstone, side slope 10 uses friction pile 7 Prestressing to expand the mode of body cable bolting.The stake footpath 1m of friction pile 1, the long 18m of stake and stake Exposure section 3m, embeds intense weathering soft rock 2m at the bottom of stake.The long 21m of anchor cable, wherein free segment 1 length 12m, non-expansion body anchoring section 2 length 6m, diameter 0.1m, expand body anchoring section 3 length 3m, diameter 0.25m, and the angle of anchor cable and level ground 8 is 30 degree, anchor cable non- Expanding body anchoring section 2 and expansion body anchoring section 3 is respectively positioned in plastic shape clay, it is 50kPa with the adhesion strength of anchor cable cement mortar, The anchor head 9 of anchor cable is connected with the stake exposure section of friction pile 7.The design anti-pulling capacity of anchor cable is 520kN, designs prestressed stretch-draw Lock value is 520kN.Anchor cable uses 1860 steel strand wires of Φ 15.24, and steel strand wires diameter 15.24mm, by the steel of 7 diameter 5mm Silk is worked out, and sectional area is 139mm2And elastic modelling quantity is 1.95 × 105N/mm2, steel strand wires bond with the limit of cement mortar Power is 0.5N mm2.The design life of this slope support engineering is 2 years, and design requires the Horizontal Displacement of friction pile Less than 30mm.
First anchor cable is circulated the limit pullout tests under load.As shown in Figure 3 anchor cable is circulated under load Limit pullout tests, obtains load-displacement cyclic curve；Load-displacement curve is sorted out further according to the displacement under every grade of load, As shown in Figure 4.
Again anchor cable being carried out creep test, finder charge is design anti-pulling capacity value 520KN, the displacement versus time obtained Loaarithmic curve is as shown in Figure 5.In Fig. 5, displacement s is linear with the logarithm lgt of time, and its slope is creep rate, Ke Yitong CrossDetermine, linear fit determine creep rate KeIt is 0.82.
It is then determined that the creep compliance that anchor cable is when design loading condition is issued to design life.The design use time 2 Year is equal to 1051200 points of kinds, then S-S1=0.82 (lgt-lgt1), wherein S1=0, lgt1=0, then estimate the creep compliance after 2 years For 4.9mm.
According to creep compliance 4.9mm and design anti-pulling capacity value 520kN, design prestressed stretch-draw lock value 520kN, permissible Prestressing force when being determined prestress loss value by load-displacement curve and reached design life from Fig. 4, determines that method is such as Shown in Fig. 4, determining that prestress loss value is 39.2kN, actual prestressing force is 480.8kN.
Next each parameter is utilized to calculate anchor cable total deformation, total deformation Δ l=Δ l1+Δl2+Δl3=29mm.
Wherein, the elastic deformation of free section of anchor cableIf assuming that anchor cable is in design maximum Working under resistance to plucking loading condition, then F=520kN, this is content to retain sovereignty over a part of the country entirely to result of calculation, to ensureing that engineering safety is favourable；F0= 520kN, Fξ=39.2kN, Ls=12m, Es=1.95 × 105N/mm2, As=139mm2, calculate Δ l1=17.4mm.
Δl2For the tangential displacement between anchoring body and the soil body, by the axial tension acted on anchoring body and surrounding soil Tangential shearing two parts are constituted, and including non-expansion body anchoring section and expansion body anchoring section two parts, are represented byDa=0.1m, Da1= 0.25m, La=6m, La1=3m, qsk=qsk1=50kPa,Wherein Ec =2 × 104N/mm2,Es=1.95 × 105N/mm2, λ=0.0139；
λ1=0.00222；Due to
Therefore L 'a=2497mm；
Therefore L 'a1=999mm, thus calculates Δ l2=(1.33+ 0.12)/3-(0.28+0.02)=0.18mm；
Δl3For the tangential displacement between anchor cable steel strand wires and anchoring section, by anchor cable deformation under load action and anchor cable These two parts of the deformation that steel strand wires cause because of the bond stress of injecting cement paste form, including non-expansion body anchoring section and expansion body anchoring section two Part, is represented by:
Δl 3 = [ F - ( F 0 - F ζ ) ] ( L a + L a 1 ) E S A S - ζπD S f m s 2 E S A S ( L a ′ ′ 2 + L a 1 ′ ′ 2 ) = 11.4 m m ;
Wherein, this anchor cable service life 2 years, belong to temporary work, ζ takes 0.67,；fmS=0.5N/mm2；DSFor anchor cable Nominal diameter 15.24mm.Due toTake L "a=1638mm；WhenTake L "a1=1638mm.
According to principle of deformation consistency Δ lcos θ=m, between the Horizontal Displacement of anchor cable and friction pile, angle is 30 °, thus Try to achieve m=29cos30 °=25.1mm.
Finally judging whether anchor structure displacement meets uses requirement, design to require that anchorage cable anchoring Horizontal Displacement does not surpasses Cross 30mm, i.e. n=30mm, then m=25.1mm < 30mm, therefore may determine that anchor structure displacement meets and use requirement, setting of anchor cable Meter Rational Parameters.
In sum, the invention provides a kind of prestressing force considering creep and stress relaxation to expand body anchor cable and whether meet and make By the deformation values method required, to checking design parameter, the effectiveness of assessment prestressing force expansion body anchor cable and anchor structure safety Significant, it is possible to assess whether the deformation of anchor structure thing within the design use cycle meets use requirement.In design Design parameter optimization can be designed by the stage, both can guarantee that structural safety, has ensured the economy of implementation cost simultaneously；Evaluation structure Safety, reduces because anchor structure deforms the excessive accident caused；Standard, code are filled up in terms of anchor structure security evaluation Blank；Calculating process is not related to the integral and calculating of complexity, uses Excel to calculate, it is simple to popularization and application.
The invention is not limited in aforesaid detailed description of the invention.The present invention expands to any disclose in this manual New feature or any new combination, and the arbitrary new method that discloses or the step of process or any new combination.

Claims (10)

1. the reduced chemical reaction kinetics model of a prestressing force expansion body anchorage cable anchoring malformation, it is characterised in that described deformation analysis side Method comprises the following steps:
A, the limit pullout tests being circulated anchor cable under load, obtain the load-displacement cyclic curve of anchor cable and arrange To load-displacement curve；
B, the creep test being designed anchor cable under anti-pulling capacity, obtain creep-time curve and the creep of anchor cable Rate relational expression, and determine creep compliance when anchor cable reaches design life；
Creep compliance when C, the design anti-pulling capacity utilizing anchor cable and described design life is true in load-displacement curve Determine the prestress loss value of anchor cable；
D, the design prestressed stretch-draw lock value of anchor cable and described prestress loss value is utilized to determine that anchor cable reaches design life Time prestressing force；
E, utilize anchor cable design anti-pulling capacity, described in prestressing force when reaching design life and anchor cable and anchor structure Anchor cable total deformation when reaching design life of the calculation of design parameters anchor cable；
The angle between anchor cable total deformation and anchor cable and anchor structure face when reaching design life described in F, utilization determines anchor Fixing structure displacement, allows described anchor structure displacement and anchor structure displacement to carry out contrasting later evaluation prestressing force and expands body anchor cable Whether the deformation of fixing structure meets uses requirement,
Wherein, described anchor cable is that prestressing force expands body anchor cable, and described anchor structure is connected to carry for expanding body anchorage cable anchoring with prestressing force For pulling force, reduce anchor structure displacement and ensure the structure of structural safety.
The most according to claim 1, prestressing force expands the reduced chemical reaction kinetics model of body anchorage cable anchoring malformation, it is characterised in that In step A, described limit pullout tests is to use stage loading the increment test method of off-load and added by record every time When lotus off-load, the displacement of anchor cable and load obtain the load-displacement cyclic curve of anchor cable；Described load-displacement curve is basis The curve that in described load-displacement cyclic curve and limit pullout tests, under every grade of load, the total displacement of anchor cable is formed.
The most according to claim 1, prestressing force expands the reduced chemical reaction kinetics model of body anchorage cable anchoring malformation, it is characterised in that In step B, described creep test determines that the anchor cable time dependent test method of the displacement under constant load, described creep Rate relational expression is following formula 1:
Wherein, S, S1It is respectively anchor cable at t, t1The creep compliance in moment；KeFor creep rate.
The most according to claim 1, prestressing force expands the reduced chemical reaction kinetics model of body anchorage cable anchoring malformation, it is characterised in that institute Stating creep compliance when reaching design life is according to described creep rate relational expression the design life meter that utilizes anchor cable Obtain.
The most according to claim 1, prestressing force expands the reduced chemical reaction kinetics model of body anchorage cable anchoring malformation, it is characterised in that In step C, the prestress loss value of described anchor cable is by first determining design anti-pulling capacity on described load-displacement curve Corresponding A point, the shift value of recycling A point correspondence with described reach design life time the difference of creep compliance described Determining B point on load-displacement curve, the difference of the payload values that the payload values that finally utilizes A point corresponding is corresponding with B point is calculated.
The most according to claim 1, prestressing force expands the reduced chemical reaction kinetics model of body anchorage cable anchoring malformation, it is characterised in that In step D, described in prestressing force when reaching design life be to be deducted prestressing force by the design prestressed stretch-draw lock value of anchor cable Penalty values is calculated.
The most according to claim 1, prestressing force expands the reduced chemical reaction kinetics model of body anchorage cable anchoring malformation, it is characterised in that In step E, described in anchor cable total deformation when reaching design life be calculated by following formula 2:
Δ l=Δ l1+Δl2+Δl3Formula 2,
Wherein, Δ l is anchor cable total deformation；Δl1Elastic deformation for free section of anchor cable；Δl2Tangential between anchoring section and the soil body Displacement；Δl3For the tangential displacement between anchor cable steel strand wires and anchoring section.
The most according to claim 7, prestressing force expands the reduced chemical reaction kinetics model of body anchorage cable anchoring malformation, it is characterised in that institute State Δ l1It is calculated by following formula 3:
Wherein, F is pulling force suffered by anchor cable；F0For the prestressed stretch-draw lock value that anchor cable is applied；FξFor prestress loss value；LS Length for free section of anchor cable；ESElastic modelling quantity for anchor cable steel strand wires；ASCross-sectional area for anchor cable steel strand wires；
Described Δ l2The deformation that the frictional resistance of anchoring section causes is formed and by following formula 4 by elastic deformation and the soil body by anchoring section It is calculated:
Wherein, LaLength for anchor cable non-expansion body anchoring section；La1The length of body anchoring section is expanded for anchor cable；La' for frictional resistance in non-expansion Load assignment length in body section, and La' meet and work asTake L 'a=La, whenTakeLa′1For frictional resistance in the load assignment length expanded in body section, and L 'a1Meet and work as Take L 'a1=La1, whenTakeEaEquivalent Elasticity for anchor cable non-expansion body anchoring section Modulus, is represented byEcFor injecting cement paste elastic modelling quantity, EsFor the elastic modelling quantity of anchor cable steel strand wires, λ Ratio for net sectional area and the sectional area of anchoring section of anchor cable non-expansion body anchoring section steel strand wires；Ea1Body anchoring section is expanded for anchor cable Equivalent elastic modulus, is represented byλ1The effective of steel strand wires expanding body anchoring section for anchor cable cuts The ratio of area and the sectional area of anchoring section；AaCross-sectional area for anchor cable non-expansion body anchoring section；Aa1Body anchoring section is expanded for anchor cable Cross-sectional area；qskFor the limit frictional strength standard value between the injecting cement paste of anchor cable non-expansion body anchoring section and soil layer, qsk1For anchor Rope expands the limit frictional strength standard value between the injecting cement paste of body anchoring section and soil layer, then uses the side of layering summation under stratified foundation Formula calculates；Da、Da1It is respectively diameter and the diameter of anchor cable expansion body anchoring section of anchor cable non-expansion body anchoring section；
Described Δ l3The deformation group caused because of the bond stress of injecting cement paste by anchor cable deformation under load action and anchor cable steel strand wires Become and be calculated by following formula 5:
Wherein, fmSUltimate bond stress standard value for anchor cable steel strand wires Yu injecting cement paste；ζ is the adhesion strength of anchor cable and injecting cement paste Service factor, provisional anchor pole takes 0.67, and permanent anchor pole takes 0.45；DSDiameter for anchor cable steel strand wires.La" for frictional resistance Power load assignment length on non-expansion body section steel strand wires, and L "aMeet and work asTake L "a=La, whenTakeL″a1For frictional resistance in the load assignment length expanded on body section steel strand wires, And L "a1Meet and work asTake L "a1=La1, whenTake
The most according to claim 1, prestressing force expands the reduced chemical reaction kinetics model of body anchorage cable anchoring malformation, it is characterised in that In step F, anchor structure displacement is calculated by following formula 6:
M=Δ lcos θ formula 6,
Wherein, m is anchor structure displacement；Δ l is anchor cable total deformation；θ is the angle between anchor cable and anchor structure face.
The most according to claim 9, prestressing force expands the reduced chemical reaction kinetics model of body anchorage cable anchoring malformation, it is characterised in that When anchor structure displacement m and anchor structure allow the relation between displacement n to meet m≤n, then prestressing force expands body anchorage cable anchoring structure Deformation meet use requirement.
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CN111910630A (en) * 2020-07-27 2020-11-10 中国建筑第二工程局有限公司 Anchor cable structure and anchor cable frame beam construction method
CN112883506A (en) * 2021-01-15 2021-06-01 中铁二院工程集团有限责任公司 Simple measuring and calculating method for prestress loss of anchor cable on slope creep body
CN112989510A (en) * 2021-02-06 2021-06-18 浙江大学 Method for predicting ultimate bonding strength of prestressed anchor cable with anchoring section penetrating through double stratums
CN113010956A (en) * 2021-02-04 2021-06-22 浙江大学 Design optimization method of prestressed anchor cable in anchor-pull type retaining structure
CN114547731A (en) * 2022-01-20 2022-05-27 中国电建集团成都勘测设计研究院有限公司 Method for determining free length of cavity side wall anchor cable containing specific structural surface and application
CN114790735A (en) * 2022-05-10 2022-07-26 长江水利委员会长江科学院 Method for realizing cooperative uplift resistance of umbrella-shaped anchor and grouting body

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Cited By (10)

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Publication number Priority date Publication date Assignee Title
CN111910630A (en) * 2020-07-27 2020-11-10 中国建筑第二工程局有限公司 Anchor cable structure and anchor cable frame beam construction method
CN112883506A (en) * 2021-01-15 2021-06-01 中铁二院工程集团有限责任公司 Simple measuring and calculating method for prestress loss of anchor cable on slope creep body
CN112883506B (en) * 2021-01-15 2022-07-29 中铁二院工程集团有限责任公司 Simple measuring and calculating method for prestress loss of anchor cable on slope creep body
CN113010956A (en) * 2021-02-04 2021-06-22 浙江大学 Design optimization method of prestressed anchor cable in anchor-pull type retaining structure
CN113010956B (en) * 2021-02-04 2022-06-21 浙江大学 Design optimization method of prestressed anchor cable in anchor-pull type retaining structure
CN112989510A (en) * 2021-02-06 2021-06-18 浙江大学 Method for predicting ultimate bonding strength of prestressed anchor cable with anchoring section penetrating through double stratums
CN112989510B (en) * 2021-02-06 2022-04-22 浙江大学 Method for predicting ultimate bonding strength of prestressed anchor cable with anchoring section penetrating through double stratums
CN114547731A (en) * 2022-01-20 2022-05-27 中国电建集团成都勘测设计研究院有限公司 Method for determining free length of cavity side wall anchor cable containing specific structural surface and application
CN114547731B (en) * 2022-01-20 2022-11-01 中国电建集团成都勘测设计研究院有限公司 Method for determining free length of chamber side wall anchor cable containing specific structural surface and application
CN114790735A (en) * 2022-05-10 2022-07-26 长江水利委员会长江科学院 Method for realizing cooperative uplift resistance of umbrella-shaped anchor and grouting body

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