CN109145507A - High roadbed Performance Test of Corrugated Steel Culvert vertical earth pressure calculation method and Method for Calculating Deformation - Google Patents
High roadbed Performance Test of Corrugated Steel Culvert vertical earth pressure calculation method and Method for Calculating Deformation Download PDFInfo
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Abstract
The invention discloses a kind of high roadbed Steel Corrugated Pipe Culvert vertical earth pressure calculation method and Method for Calculating Deformation, on the basis of consideration corrugated steel pipe vertical convergent deformation, start with from earth pillar sedimentation inside and outside tube top plane, the Steel Corrugated Pipe Culvert vertical earth pressure calculation method and the vertical convergent deformation calculation method of pipe culvert when proposing and do not take the Steel Corrugated Pipe Culvert vertical earth pressure calculation method of off-loading technology, taking off-loading technology.The present invention can provide Calculating method of earth pressure routinely to banket or taking the Steel Corrugated Pipe Culvert after reducing pressure to design under high roadbed, the vertical convergent deformation calculation method of pipe culvert is also provided simultaneously, soil pressure and deformation calculated result and actual conditions are more consistent, and calculation method has filled up the blank in the field both at home and abroad.Off-loading design method proposed by the present invention can effectively reduce culvert top vertical earth pressure, prevent pipe culvert structure from generating large deformation, while protecting culvert structure safety and stablization.
Description
Technical field
The present invention relates to ground and underground engineering field, calculate more particularly to high roadbed Performance Test of Corrugated Steel Culvert vertical earth pressure
Method and Method for Calculating Deformation, it is suitable for the engineerings such as highway, railway, water conservancy, airport, mine, electric power, municipal administration, harbour, military project
Steel Corrugated Pipe Culvert structure in infrastructure construction field is used as embankment or discharge culvert, traffic or channel under canal dike
The culvert that drains off floodwaters, maintenance culvert, gallery, drainage gallery under culvert, dam and Tailings Dam.
Background technique
Culvert under high roadbed belongs to buried structures more, is widely used in highway, railway, airport, mine, water
The safety of the infrastructure constructions such as benefit, electric power, municipal administration, harbour, military project, structure is most important to affiliated major project,
Culvert especially under high roadbed, therefore have the title of " lifeline engineering ".The structure type of culvert mainly have slab culvert, pipe culvert,
The abutment wall of box culvert, arch culvert etc., slab culvert and arch culvert mostly uses concrete masonry or stone material masonry, cover board and arch ring to mostly use reinforcing bar
Concrete, pipe culvert are generally reinforced concrete structure, in recent years because assembling type steel structure is carried out by country and goes production capacity tune structure
Macro policy, corrugated steel pipe or plate are also gradually used in Culvert engineering.
Corrugated steel pipe is highlighted compared to the embedded structure in traditional Rock And Soil, advantage: 1. adaptive deformation ability is strong, right
Foundation requirement is lower；2. having good anti-seismic performance；3. batch production sizing batch production, is conducive to quality control；4. material
The scale of construction is small, can effectively reduce transport difficult, and in-site installation is also simple；5. easy construction, short time limit；Steel ripple struction using half at
The construction of product on-site consolidation, compared with reinforced concrete structure, the duration can shorten 70% or more；6. low-carbon environment-friendly reduces or gives up
The conventional building materials such as sand, stone, cement and timber, are conducive to environmental protection.
Armored concrete or itself compressibility of its structure of masonry marshalling culvert are shown for the compressibility for containing Zhou Tuti
Must be minimum, so that can be ignored, therefore " rigid culvert " can be referred to as；And for Steel Thin-Wall ripple pipe culvert, due to
Its structure is that certain thickness hot rolled steel plate or steel band according to the size of regulation, are processed through waveform rolling and clod wash and are made
The assembling of ripple round tube merogenesis or arc-shaped steel corrugated plating fragment it is assembled, corrugated steel pipe structure itself can be (main with pipe week external force
If the soil pressure of surrounding) different degrees of deformation is generated, this malformation may reach even considerably beyond pipe side
The sedimentation and deformation of the soil body, while this deformation will receive the elastic resistance constraint of pipe Zhou Tuti again, form " a soil-flexible
Steel construction " causes the redistribution of load by the soil body and culvert pipe structure comprehensive coordination deformation, thus can Steel Corrugated Pipe Culvert be referred to as
" flexible culvert ".
And contain one of the important evidence that top vertical earth pressure is culvert structure design, it is to determine pipe culvert material, wall thickness, wavelength
With the important parameter of wave height.Current upper buried culvert vertical earth pressure is mostly carried out for rigid concrete culvert, no
Consider the compressive deformation of culvert itself, only considers the compressive deformation for containing the side soil body, and then for the Steel Corrugated Pipe Culvert under high roadbed
Need to consider its deformation under vertical earth pressure effect, and it is more to influence pipe culvert top vertical earth pressure factor, such as: steel
Bellows material, wave mode, wall thickness, diameter, bedding form, compaction process, height of embankment, compactness, landform and engineering performances are special
Property etc., and mutually have an impact before each factor；For then pipe culvert, banketing be medium is load again, and is interacted with pipe culvert,
Therefore, so that the computation model of tube top vertical earth pressure complicates.So this field is badly in need of studying a kind of be suitable under high roadbed
Steel Corrugated Pipe Culvert effective Calculating method of earth pressure, for instruct Steel Corrugated Pipe Culvert structure design, protection Steel Corrugated Pipe Culvert
It structure safety and prevents from culvert from deforming excessive etc. all having important realistic meaning.
Summary of the invention
To solve in the prior art, there are no soil pressure distributions corresponding when the Steel Corrugated Pipe Culvert structure design under high roadbed
The problem of method, the present invention provide high roadbed Performance Test of Corrugated Steel Culvert vertical earth pressure calculation method and Method for Calculating Deformation.
The object of the present invention is achieved in the following manner:
High roadbed Performance Test of Corrugated Steel Culvert vertical earth pressure calculation method, including the height that do not take off-loading technology He take off-loading technology
Embankment Steel Corrugated Pipe Culvert vertical earth pressure calculates, and the off-loading technology is by containing the flexible off-loading material EPS sheet of top tiling
Mode carry out off-loading, be specifically divided into following two contain the straight Earth Pressure of roof pendant:
1) contain the vertical earth pressure σ for pushing up and not taking under off-loading technical situationvCalculation formula
In formula:
σvPipe culvert top vertical earth pressure, kPa；
r0Steel Corrugated Pipe Culvert radius, kN/m3；
H- Steel Corrugated Pipe Culvert structure protrudes ground level, m；H=D=2r0；
The diameter of D- Steel Corrugated Pipe Culvert, wherein D=2r0,A is pipe culvert shaped cross section area；
η-Steel Corrugated Pipe Culvert shape influences coefficient,
γ-bankets severe, kN/m3；
H- soil filled on the top of culvert height, m；
The Poisson's ratio that μ-bankets；
ωcCoefficient related with Steel Corrugated Pipe Culvert length-width ratio L/D1, can table look-up acquisition, such as table 1；
L- is Steel Corrugated Pipe Culvert length, m；
The deformation modulus of E- soil filled on the top of culvert, MPa；Wherein Es0For the compression modulus to banket, MPa can lead to
Highway engineering earthwork test rule is crossed to test to obtain；α is the increase angle of modulus of banketing, and can also be passed through
Interior compression test obtains；
EhContain the deformation modulus that side is banketed, MPa；Wherein Es0For the compression modulus to banket, MPa can
It tests to obtain by highway engineering earthwork test rule；
Eh=Eh0+γ(H+r0) × tan α, α are the increase angle of modulus of banketing, and can also pass through interior compression test and obtain；
E'pParameter after the conversion of corrugated steel pipe elasticity modulus of materials, MPa；Wherein EpFor corrugated steel pipe material
Elasticity modulus, MPa；μpFor the Poisson's ratio of corrugated steel pipe material；
IcThe moment of inertia of steel corrugated board structures, mm4/mm；It is calculated by formula or is looked into material parameter table and obtained, calculation formula is as follows:Wherein, waveform parameter includes: wavelength Lc, mm；Wave height T,
mm；Length of straigh line TL, mm；Peaks and troughs radius R, mm；Arc angle θ, degree；Deviate X-axis distance d, mm in the center of circle；Plate thickness t,
mm；
KvPipe culvert vertical earth pressure coefficient,
KdPipe culvert bedding value can be obtained by tabling look-up, such as table 3；
KcPipe culvert soil reaction coefficient can be obtained by tabling look-up, such as table 2；
1 ω of tablecValue
| L/D1 | ωc | L/D1 | ωc | L/D1 | ωc | L/D1 | ωc | L/D1 | ωc |
| 3.0 | 1.466 | 6.5 | 1.895 | 10.0 | 2.147 | 13.5 | 2.268 | 17.0 | 2.307 |
| 3.5 | 1.540 | 7.0 | 1.941 | 10.5 | 2.171 | 14.0 | 2.278 | 17.5 | 2.308 |
| 4.0 | 1.610 | 7.5 | 1.983 | 11.0 | 2.192 | 14.5 | 2.286 | ||
| 4.5 | 1.675 | 8.0 | 2.022 | 11.5 | 2.211 | 15.0 | 2.293 | ||
| 5.0 | 1.736 | 8.5 | 2.058 | 12.0 | 2.228 | 15.5 | 2.298 | ||
| 5.5 | 1.793 | 9.0 | 2.091 | 12.5 | 2.243 | 16.0 | 2.302 | ||
| 6.0 | 1.846 | 9.5 | 2.120 | 13.0 | 2.256 | 16.5 | 2.305 |
2 pipe soil reaction COEFFICIENT K of tablec
3 bedding value K of tabled
| α/(°) | 0 | 15 | 30 | 45 | 60 | 75 | 90 |
| Kd | 0.11 | 0.108 | 0.103 | 0.096 | 0.089 | 0.085 | 0.083 |
2) the vertical earth pressure σ in the case where containing top and taking off-loading technical situationvCalculation formula:
In formula:
hfContain the laying depth for pushing up flexible off-loading material EPS sheet, m；
EfContain the deformation modulus for pushing up flexible off-loading material EPS sheet, MPa；It can test to obtain by interior compression；
The meaning of remaining symbol is referring to formula (1).
It is above-mentioned take off-loading technology in the case where, tile EPS sheet at the top of Steel Corrugated Pipe Culvert, EPS sheet contain top paving
If width is consistent with pipe culvert structure diameter D, the laying depth h of EPS sheetf: as D > 3.0m,As D≤3.0m,EPS sheet laying density uses dual control mode:
EPS sheet 60% is taken to strain the earth pillar pressure value of corresponding stress value Yu 1/3 times of off-loading targetDensity value when equal, and most
Small density is 24kg/m3。
The present invention also provides the Method for Calculating Deformation of high roadbed Performance Test of Corrugated Steel Culvert, it is included in and described does not take off-loading skill
Art and take the vertical convergent deformation calculation formula of the high roadbed Steel Corrugated Pipe Culvert of off-loading technology are as follows:
In formula:
ΔpThe vertical convergent deformation amount of Steel Corrugated Pipe Culvert, m；
The meaning of remaining symbol is referring to formula (1).
The utility model has the advantages that compared with the existing technology, advantages of the present invention is as follows:
1. the present invention regards the soil body as elastic deformable body, then the variation of tube top vertical earth pressure is then with native inside and outside tube top plane
Column sedimentation difference ± δ and change, on the basis of considering corrugated steel pipe vertical convergent deformation, from earth pillar sedimentation inside and outside tube top plane ±
δ starts with, and proposes the high roadbed Steel Corrugated Pipe Culvert vertical earth pressure calculation method in the case of conventional banket；Based on this, addition subtracts
Lotus technology pushes up horizontal laying EPS sheet containing, and starts with again from earth pillar sedimentation ± δ inside and outside tube top (containing EPS sheet) plane, proposes
High roadbed Steel Corrugated Pipe Culvert vertical earth pressure calculation method in the case of off-loading；Through demonstrating this compared with site test results
The validity and feasibility of method, and can preferably reflect actual conditions, it hangs down so that not having before for high roadbed corrugated steel pipe
Straight Calculating method of earth pressure from scratch, and is applied to engineering reality, theoretical and application value with higher；
2. what is proposed is laid with the design method of EPS sheet on high roadbed corrugated steel pipe top, pipe culvert top vertical earth pressure can be made to subtract
As low as the 1/3 of earth pillar pressure efficiently reduces culvert top vertical earth pressure, and it is longitudinal to be longitudinally laid with the adjustable tube top of EPS in pipe
Geostatic shield, be effectively improved culvert top soil pressure distribution regular so that pipe culvert be more uniformly stressed rationally, reduce pipe culvert longitudinal direction
Concave curved sedimentation, and it is can effectively protect culvert structure safety, reduce the vertical convergent deformation of pipe culvert；
3. the perfect combination of high roadbed Steel Corrugated Pipe Culvert vertical earth pressure calculation method and off-loading technology, facilitates assembled steel wave
The popularization and application of line pipe culvert substitute conventional concrete rigid culvert, have environmental protection, go production capacity, promote the advantages such as new steel structure,
Show it with important theoretical value and significant economic benefit.
Detailed description of the invention
Fig. 1 is the inside and outside earth pillar differential settlement schematic diagram (δ=0) that rigid pipe culvert puts down buried not off-loading.
Fig. 2 is inside and outside earth pillar differential settlement schematic diagram (δ > 0, δ=Δ of buried not off-loading on rigid pipe culverts)。
Fig. 3 is inside and outside earth pillar differential settlement schematic diagram (δ < 0, δ=Δ of buried off-loading on rigid pipe culverts-hf)。
Fig. 4 be buried not off-loading on flexible pipe culvert inside and outside earth pillar differential settlement schematic diagram (δ>0 or δ<0 or δ=0, δ=
Δs-Δp)。
Fig. 5 is inside and outside earth pillar differential settlement schematic diagram (δ < 0, δ=Δ of buried off-loading on flexible pipe culverts-Δp-hf)。
Fig. 6 is pipe culvert steel corrugated cardboard sheet schematic cross-section.
Fig. 7 is stress model schematic diagram around Steel Corrugated Pipe Culvert.
Specific embodiment
Inventor was from 2006, after 12 years, to high roadbed culvert carried out a large amount of gather material, investigation, 8 it is mixed
The field test and off-loading application of solidifying soil rigid culvert engineering, the field test of 3 Steel Corrugated Pipe Culvert engineerings are banketed to conventional
(not taking off-loading technology) and the upper buried Steel Corrugated Pipe Culvert for taking off-loading technology (as being laid with EPS sheet), proposes vertical respectively
Earth Pressure and corresponding vertical convergent deformation calculation formula.In order to achieve the purpose that application, for off-loading skill
Art, it is also proposed that the application design method of off-loading material EPS sheet.Experiments have shown that formula calculated result of the invention can react
Practical Project situation, off-loading technology not only can reduce pipe culvert top vertical earth pressure, can also longitudinally adjust vertical earth pressure
Distribution, to reduce the differential settlement of pipe culvert longitudinal direction.
High roadbed Performance Test of Corrugated Steel Culvert vertical earth pressure calculation method of the invention, including off-loading technology is not taken (i.e. often
Rule are banketed) and the high roadbed Steel Corrugated Pipe Culvert vertical earth pressure of off-loading technology is taken to calculate, the off-loading technology for by
The mode for containing the flexible off-loading material EPS sheet of top tiling carries out off-loading, and it is public to be specifically divided into the straight soil pressure distribution of following two culvert roof pendant
Formula:
1) contain the vertical earth pressure σ for pushing up and not taking under off-loading technical situationvCalculation formula
In formula:
σvPipe culvert top vertical earth pressure, kPa；
r0Steel Corrugated Pipe Culvert radius, kN/m3；
H- Steel Corrugated Pipe Culvert structure protrudes ground level, m；H=D=2r0；
The diameter of D- Steel Corrugated Pipe Culvert, wherein D=2r0,A is pipe culvert shaped cross section area；
η-Steel Corrugated Pipe Culvert shape influences coefficient,
γ-bankets severe, kN/m3；
H- soil filled on the top of culvert height, m；
The Poisson's ratio that μ-bankets；
ωcCoefficient related with Steel Corrugated Pipe Culvert length-width ratio L/D1, can table look-up acquisition, such as table 1；
L- is Steel Corrugated Pipe Culvert length, m；
The deformation modulus of E- soil filled on the top of culvert, MPa；Wherein Es0For the compression modulus to banket, MPa can lead to
Highway engineering earthwork test rule is crossed to test to obtain；α is the increase angle of modulus of banketing, and can also be passed through
Interior compression test obtains；
EhContain the deformation modulus that side is banketed, MPa；Wherein Es0For the compression modulus to banket, MPa can
It tests to obtain by highway engineering earthwork test rule；
Eh=Eh0+γ(H+r0) × tan α, α are the increase angle of modulus of banketing, and can also pass through interior compression test and obtain；
E'pParameter after the conversion of corrugated steel pipe elasticity modulus of materials, MPa；Wherein EpFor corrugated steel pipe material
Elasticity modulus, MPa；μpFor the Poisson's ratio of corrugated steel pipe material；
IcThe moment of inertia of steel corrugated board structures, mm4/mm；It is calculated by formula or is looked into material parameter table and obtained, calculation formula is as follows:Wherein, waveform parameter includes: wavelength Lc, mm；Wave height T,
mm；Length of straigh line TL, mm；Peaks and troughs radius R, mm；Arc angle θ, degree；Deviate X-axis distance d, mm in the center of circle；Plate thickness t,
mm；
KvPipe culvert vertical earth pressure coefficient,
KdPipe culvert bedding value can be obtained by tabling look-up, such as table 3；
KcPipe culvert soil reaction coefficient can be obtained by tabling look-up, such as table 2；
1 ω of tablecValue
| L/D1 | ωc | L/D1 | ωc | L/D1 | ωc | L/D1 | ωc | L/D1 | ωc |
| 3.0 | 1.466 | 6.5 | 1.895 | 10.0 | 2.147 | 13.5 | 2.268 | 17.0 | 2.307 |
| 3.5 | 1.540 | 7.0 | 1.941 | 10.5 | 2.171 | 14.0 | 2.278 | 17.5 | 2.308 |
| 4.0 | 1.610 | 7.5 | 1.983 | 11.0 | 2.192 | 14.5 | 2.286 | ||
| 4.5 | 1.675 | 8.0 | 2.022 | 11.5 | 2.211 | 15.0 | 2.293 | ||
| 5.0 | 1.736 | 8.5 | 2.058 | 12.0 | 2.228 | 15.5 | 2.298 | ||
| 5.5 | 1.793 | 9.0 | 2.091 | 12.5 | 2.243 | 16.0 | 2.302 | ||
| 6.0 | 1.846 | 9.5 | 2.120 | 13.0 | 2.256 | 16.5 | 2.305 |
2 pipe soil reaction COEFFICIENT K of tablec
3 bedding value K of tabled
| α/(°) | 0 | 15 | 30 | 45 | 60 | 75 | 90 |
| Kd | 0.11 | 0.108 | 0.103 | 0.096 | 0.089 | 0.085 | 0.083 |
The cross sectional moment of inertia calculated example of above-mentioned steel corrugated board structures illustrates:
Plate schematic cross-section used in corrugated steel pipe assembly, as shown in Figure 6.
For the assembled pipe culvert of the steel corrugated plating that highway field test uses by Sichuan: ripple size for
200mm × 55mm, plate thickness 6.5mm, Wave crest and wave trough radius are 53mm, length of straigh line 25.495mm, and central angle is
47.332 °, calculating parameter are as follows:
R=53mn, TL=25.495mn, Lc=200mm, T=55mm,
T=6.5mm, θ=47.332 °=0.2630 π, d=25.5mm
The moment of inertia:
High roadbed culvert vertical earth pressure when for conventional banketing calculates, and is said by the field test of three corrugated steel pipes
Bright, the parameter in table 4 is substituted into formula by the field test parameter of three corrugated steel pipes such as table 4, Measured Soil pressure value such as table 5
(1), the culvert top vertical earth pressure value after being banketed, and be listed in Table 5 below together with Measured Soil pressure value.
4 pipe culvert vertical earth pressure calculating parameter table of table
5 pipe culvert of table (non-off-loading) vertical earth pressure calculated value and measured value table
| Number | Calculated value/kPa | Measured value/kPa | Deviation ratio |
| Field test 1 | 302.11 | 288.67 | + 4.7% |
| Field test 2 | 254.70 | 228.76 | + 11.3% |
| Field test 3 | 224.14 | 221.98 | + 1.0% |
It was found from 5 pipe culvert vertical earth pressure calculated value of table and measured value comparison: after banketing and reaching designed elevation, formula meter
Calculation value and field test measured value are more consistent, and deviation ratio is lower, and calculated result is able to reflect the vertical soil pressure of pipe culvert substantially
Actual conditions.
2) the vertical earth pressure σ in the case where containing top and taking off-loading technical situationvCalculation formula:
In formula:
hfContain the laying depth for pushing up flexible off-loading material EPS sheet, m；
EfContain the deformation modulus for pushing up flexible off-loading material EPS sheet, MPa；It can test to obtain by interior compression；
The meaning of remaining symbol is referring to formula (1).
It is above-mentioned take off-loading technology in the case where, tile EPS sheet at the top of Steel Corrugated Pipe Culvert, EPS sheet contain top paving
If width is consistent with pipe culvert structure diameter D, the laying depth h of EPS sheetf: as D > 3.0m,As D≤3.0m,EPS sheet laying density uses dual control side
EPS sheet 60% is taken to strain the earth pillar pressure value of corresponding stress value Yu 1/3 times of off-loading target likes:Density value when equal, and
Minimum density is 24kg/m3。
For taking the calculating of the high roadbed Steel Corrugated Pipe Culvert vertical earth pressure of off-loading technology, except using scene examination in table 4
It tests outside the parameter in 3, the laying width for also adding off-loading material EPS sheet is 5.5m, laying depth hfFor 0.3m, EPS sheet
Deformation modulus is 0.18MPa.Parameter is substituted into formula (2), pipe culvert top vertical earth pressure value after being banketed, and with reality
Soil pressure force value is surveyed to be listed in Table 6 below together.
Vertical earth pressure calculated value and measured value table after 6 pipe culvert off-loading of table
| Number | Calculated value/kPa | Measured value/kPa | Deviation ratio |
| Field test 3 | 115.11 | 114.97 | + 0.1% |
It was found from the vertical earth pressure calculated value after 6 pipe culvert off-loading of table is with measured value comparison: containing top in high roadbed and be laid with one
After the EPS sheet off-loading material for determining thickness, when banket reach designed elevation after, formula calculated value more connects with field test measured value
Closely, deviation ratio only has 0.1%.Therefore formula calculated result contains the straight earth pressure theory calculating of roof pendant after can be used for off-loading.
The present invention also provides the Method for Calculating Deformation of high roadbed Performance Test of Corrugated Steel Culvert, it is included in and described does not take off-loading skill
Art and take the vertical convergent deformation calculation formula of the high roadbed Steel Corrugated Pipe Culvert of off-loading technology are as follows:
In formula:
ΔpThe vertical convergent deformation amount of Steel Corrugated Pipe Culvert, m；
The meaning of remaining symbol is referring to formula (1).
Convergent deformation vertical for high roadbed Steel Corrugated Pipe Culvert calculates, and using the parameter in field test 3 in table 4, will join
Number substitutes into formula (3), the vertical convergent deformation value in pipe culvert top after being banketed, and is listed in table 7 with observational deformation value one
In.
Vertical convergent deformation calculated value and measured value table after 7 pipe culvert off-loading of table
| Number | Calculated value/mm | Measured value/mm | Deviation ratio |
| Field test 3 (non-off-loading) | 120.22 | 116.02 | + 3.6% |
| Field test 3 (off-loading) | 55.96 | 60.42 | - 7.4% |
From after 7 pipe culvert off-loading of table vertical convergent deformation calculated value and measured value it can be seen that banketing after, convergence become
Shape calculated value is closer to measured value, and calculated value when non-off-loading is slightly larger than measured value, and deviation ratio only has 3.6%, and off-loading
When calculated value be slightly less than measured value, deviation ratio is only 7.4%.The result shows that convergent deformation theoretical calculation formula can be preferably
Reflect practical Steel Corrugated Pipe Culvert deformation.
Off-loading technical application design of the invention is as follows:
In the case where taking off-loading technology, uniform thickness EPS sheet tile mode is used at the top of Steel Corrugated Pipe Culvert, EPS sheet is containing top
Laying width it is consistent with pipe culvert structure diameter D, tube top longitudinal direction EPS sheet laying length be raising be greater than 2.25D when can be laid with
EPS sheet carries out off-loading.
In order to reach optimal off-loading effect, the thickness and density design of off-loading material EPS sheet are most important.According to embankment
Height H is determined with thickness of the pipe culvert structure width D to EPS sheet with density.
According to field test test result, due to vertical convergent deformation of the pipe culvert in the case where containing top soil pressure effect, so that containing
Top vertical earth pressure be generally slightly smaller than is equal to earth pillar pressure, then pipe culvert top be not present additional earth preessure, therefore, do not consider eliminate+
δ is only thought of as culvert and provides-the δ of off-loading, considers further that EPS sheet stress-strain relation, available compression becomes after 60% strain
Shape amount can be ignored, then has hf=|-δ |/0.6.Many experimental results show that the selection of EPS thickness and height of embankment have
There is certain proportionate relationship, meanwhile, when EPS sheet off-loading when thickness is identical, it is better to be laid with the smaller off-loading effect of width, therefore selects
3m width is limited, as the laying depth h for containing EPS sheetf: as D > 3.0m,As D≤3.0m
When,With a certain high roadbed major diameter Performance Test of Corrugated Steel Culvert of the Shan Guang Baguang, Sichuan fastlink
For, EPS sheet thickness is designed, pipe culvert diameter be 5.5m, height of embankment 11.7m, thenIt is cut for convenience of construction, then round numbers 36cm.
In order to not only economical but also reasonably make full use of the compression deformation of EPS sheet, many experimental results show: if to contain
Push up vertical earth pressure off-loading to earth pillar pressure 1/3 when, EPS sheet strain right up to 60% dependent variable, therefore, can will
The two is matched.Meanwhile in order to guarantee that soil filled on the top of culvert is constructed early period, the lower EPS of the effect of rolling of construction machinery still has centainly
Compression strength, it is specified that vibroroller cmpacting and banket the height for reaching certain when EPS sheet just can enter the plastic deformation stage, therefore
Through comprehensively considering, the minimum density of EPS sheet takes 24kg/m3.It is big with a certain high roadbed of the Shan Guang Baguang, Sichuan fastlink
For diameter Performance Test of Corrugated Steel Culvert, height of embankment 11.7m, thenBy table 7
As can be seen that calculating soil pressure force value with EPS sheet density when 60% strain is 16kg/m3The stress of person is substantially suitable, in order to guarantee
Banket reach a certain height after EPS sheet compressive deformation play decreasing load effect, therefore test taken minimum density 24kg/m3's
EPS sheet is as off-loading material.Another high roadbed pipe culvert work point on same route carries out off-loading in application, pipe soil filled on the top of culvert is high
Degree is 22m,It is compared with table 7, calculates soil pressure force value and answered with 60%
EPS sheet density is 28kg/m when change3The stress of person is substantially suitable, therefore has selected 28kg/m3EPS sheet as off-loading material, pipe
Diameter is 2.75m, is less than 3.0m, therefore thickness takesFor convenience of construction cutting, finally select
With a thickness of 37cm.
Stress value corresponding to the EPS material of different densities when table 7 60% strains
Therefore EPS sheet laying density uses dual control mode: EPS sheet 60% being taken to strain corresponding stress value and off-loading target 1/3
Earth pillar pressure value againDensity value when equal, and minimum density uses 24kg/m3。
Wherein, it puts down and is embedded in the soil body Fig. 1 shows rigid pipe culvert, deformation of the pipe culvert under pressure effect of banketing itself is negligible
To disregard, the soil body of pipe culvert two sides is undisturbed soil, rather than recent fill, therefore can approximatively think that containing the inside and outside earth pillar differential settlement in top is zero,
The recent fill of top of conduit generates uniform consolidation settlement deformation under Gravitative Loads.For the culvert of non-off-loading, vertical soil pressure
Force coefficient is represented by(ΔσvAdditional vertical soil pressure is pushed up to contain), as δ=0, Δ σv=0, then Kv=1,
Then containing top vertical earth pressure is the earth pillar pressure for containing top.
Fig. 2 indicates that rigid pipe culvert is located on original ground, and deformation of the pipe culvert under pressure effect of banketing itself is negligible,
The soil body of pipe culvert two sides is recent fill, and contains side recent fill with biggish compression deformation, and therefore, containing can generate at the plane of top
Positive inside and outside earth pillar differential settlement, then have as δ > 0, Δ σv> 0, then Kv> 1, then earth pillar pressure can be greater than by containing top vertical earth pressure.
In order to reduce the vertical earth pressure for containing top, then from protection culvert structure safety.Fig. 3 indicates that rigid pipe culvert is located at original place
On face, deformation of the pipe culvert under pressure effect of banketing itself is negligible, at this time contain push up be laid with compressibility compared with flexible material
Material, banket increase during, thus offset part contain side recent fill generate compression deformation, promote contain top plane at just
Inside and outside earth pillar differential settlement become negative inside and outside earth pillar differential settlement, then have as δ < 0, Δ σv< 0, then Kv< 1, then it is directly native to contain roof pendant
Pressure can be less than earth pillar pressure.
Off-loading principle: why the vertical earth pressure of the rigid structures culvert such as armored concrete or masonry marshalling is greater than culvert top
Earth pillar pressure is because the rigidity on culvert (including basis) is greater than two sides with rigidity of highly banketing, then in the densification banketed
In deformation process, contains and cause differential settlement+δ between earth pillar inside and outside the plane of top, it is corresponding to this deformation, it also just produces to act on and contains top
Additional vertical soil pressure is interpreted as the downward additional friction force of the internal earth pillar of outer earth pillar.Therefore, to change answering for soil filled on the top of culvert
Power concentration phenomenon, promotes vertical earth pressure to reduce, and pushes up earth pillar pressure even less than containing, must just take certain measures, promote+δ
Reduce (the downward additional friction force for reducing the outer internal earth pillar of earth pillar), or even-δ generation is facilitated (to promote downward additional friction
Power is converted into upward off-load frictional force), so that the outer earth pillar of culvert two sides and culvert shared is contained top earth pillar pressure, to make
Contain top vertical earth pressure to be reduced.For this purpose, filling out high-compressibility material (such as EPS with certain compression strength containing top paving
Plate), it allows it constantly to provide in the middle and later periods for the process of banketing and is greater than culvert top differential settlement increment+Δ δ compressive deformation increment-Δ δ,
To change the mutual direction (or say and generate soil arching effect) contained and push up inside and outside earth pillar in sinking watching, reaches reduction and hang down
The purpose of straight soil pressure.
Steel Corrugated Pipe Culvert still falls within rigid culvert scope in lower situation of banketing, but as the increase of the depth of fill is contained
Top vertical earth pressure constantly increases, and culvert pipe also can gradually generate vertical convergent deformation under pressure effect of banketing；It is pushed up when containing
It bankets and continues growing and the vertical convergent deformation of culvert is made to may cause culvert pipe destruction beyond allowable strain range.Equally, such as
Fruit is laid with flexible material on Steel Corrugated Pipe Culvert top and is banketed sedimentation and deformation space, and the vertical convergence with corrugated steel pipe with increasing tube top
Deformation cooperates, and facilitates-δ to generate in culvert pipe allowable strain, also can reach the purpose of off-loading, so that culvert structure be protected to pacify
Entirely.
Fig. 4 indicates the inside and outside earth pillar differential settlement using Steel Corrugated Pipe Culvert as the upper buried flexible culvert of representative under the effect of banketing
Schematic diagram (when non-off-loading), since flexible pipe culvert itself has certain rigidity, contains top vertical earth pressure then according to off-loading principle
Change with the depth of fill, then contains place earth pillar differential settlement δ>0 or δ<0 or δ=0 in top and be possible to generate.
High roadbed culvert is more and more at present, in order to reduce the vertical soil pressure at the top of the flexible pipe culvert that corrugated steel pipe is representative
Power uses for reference the off-loading principle of rigid culvert, and containing, top laying is certain thickness using EPS sheet as the flexible off-loading material of representative, Fig. 5
Mean that the inside and outside earth pillar differential settlement schematic diagram of buried off-loading on flexible pipe culvert, at this time due to the convergent deformation of pipe culvert itself with it is soft
The compressive deformation collective effect of property material promotes δ < 0, Δ σv< 0, then Kv< 1, then earth pillar pressure can be less than by containing top vertical earth pressure.
Fig. 7 indicates that the stress model schematic diagram of Steel Corrugated Pipe Culvert is being examined to calculate the vertical convergent deformation of corrugated steel pipe
On the basis of considering the lateral soil body elastic resistance of pipe culvert and bedding form to pipeline compressive deformation influence, using the pipeclay of Spangler
Interaction model is analyzed, the model hypothesis: acting on the vertical load q of tube topvIt is transversely and horizontally distributed along pipe diameter,
The vertical counter-force acted in tube bottom is distributed along bedding width levels, acts on the elastic resistance of pipeline two sides as parabola point
Cloth, maximum pressure qHThe coefficient of passive earth pressure to banket equal to pipe side multiplied by the half of pipe level amount of deflection, broken ground by pipe side
Pressure central angle is 2 β, and bedding cornerite is 2 α, and computation model is as shown in Figure 7.Under vertical pressure effect, the amount of deflection of flexural member
It is mainly generated by bending deformation, with structural mechanics method, the deformation under the effect of tube top, tube bottom and pipe lateral pressure is calculated
And be superimposed, the compression deformation of pipeline can be obtained.
What has been described above is only a preferred embodiment of the present invention, it is noted that for those skilled in the art,
Without depart from that overall concept of the invention, several changes and improvements can also be made, these also should be considered as of the invention
Protection scope, these all will not influence the effect and patent practicability that the present invention is implemented.
Claims (3)
1. high roadbed Performance Test of Corrugated Steel Culvert vertical earth pressure calculation method, it is characterised in that: including not taking off-loading technology and adopting
The high roadbed Steel Corrugated Pipe Culvert vertical earth pressure of off-loading technology is taken to calculate, the off-loading technology is by containing top tiling flexibility
The mode of off-loading material EPS sheet carries out off-loading, is specifically divided into following two and contains the straight Earth Pressure of roof pendant:
1) contain the vertical earth pressure σ for pushing up and not taking under off-loading technical situationvCalculation formula
In formula:
σvPipe culvert top vertical earth pressure, kPa；
r0Steel Corrugated Pipe Culvert radius, kN/m3；
H- Steel Corrugated Pipe Culvert structure protrudes ground level, m；H=D=2r0；
The diameter of D- Steel Corrugated Pipe Culvert, wherein D=2r0,A is pipe culvert shaped cross section area；
η-Steel Corrugated Pipe Culvert shape influences coefficient,
γ-bankets severe, kN/m3；
H- soil filled on the top of culvert height, m；
The Poisson's ratio that μ-bankets；
ωcCoefficient related with Steel Corrugated Pipe Culvert length-width ratio L/D1, can table look-up acquisition, such as table 1；
L- is Steel Corrugated Pipe Culvert length, m；
The deformation modulus of E- soil filled on the top of culvert, MPa；Wherein Es0For the compression modulus to banket, MPa can lead to
Highway engineering earthwork test rule is crossed to test to obtain；α is the increase angle of modulus of banketing, and can also be passed through
Interior compression test obtains；
EhContain the deformation modulus that side is banketed, MPa；Wherein Es0For the compression modulus to banket, MPa can
It tests to obtain by highway engineering earthwork test rule；
Eh=Eh0+γ(H+r0) × tan α, α are the increase angle of modulus of banketing, and can also pass through interior compression test and obtain；
E′pParameter after the conversion of corrugated steel pipe elasticity modulus of materials, MPa；Wherein EpFor corrugated steel pipe material
Elasticity modulus, MPa；μpFor the Poisson's ratio of corrugated steel pipe material；
IcThe moment of inertia of steel corrugated board structures, mm4/mm；It is calculated by formula or is looked into material parameter table and obtained, calculation formula is as follows:Wherein, waveform parameter includes: wavelength Lc, mm；Wave height T,
mm；Length of straigh line TL, mm；Peaks and troughs radius R, mm；Arc angle θ, degree；Deviate X-axis distance d, mm in the center of circle；Plate thickness t,
mm；
KvPipe culvert vertical earth pressure coefficient,
KdPipe culvert bedding value can be obtained by tabling look-up, such as table 3；
KcPipe culvert soil reaction coefficient can be obtained by tabling look-up, such as table 2；
1 ω of tablecValue
2 pipe soil reaction COEFFICIENT K of tablec
3 bedding value K of tabled
2) the vertical earth pressure σ in the case where containing top and taking off-loading technical situationvCalculation formula:
In formula:
hfContain the laying depth for pushing up flexible off-loading material EPS sheet, m；
EfContain the deformation modulus for pushing up flexible off-loading material EPS sheet, MPa；It can test to obtain by interior compression；
The meaning of remaining symbol is referring to formula (1).
2. high roadbed Performance Test of Corrugated Steel Culvert vertical earth pressure calculation method according to claim 1, it is characterised in that: in institute
It states in the case where taking off-loading technology, tile EPS sheet at the top of Steel Corrugated Pipe Culvert, and EPS sheet is in the laying width and pipe culvert for containing top
Diameter of movement D is consistent, the laying depth h of EPS sheetf: as D > 3.0m,As D≤3.0m,EPS sheet laying density uses dual control mode: EPS sheet 60% being taken to strain corresponding stress value and off-loading
1/3 times of target of earth pillar pressure valueDensity value when equal, and minimum density is 24kg/m3。
3. the Method for Calculating Deformation of high roadbed Performance Test of Corrugated Steel Culvert, it is characterised in that: be included in it is described do not take off-loading technology and
Take the vertical convergent deformation calculation formula of the high roadbed Steel Corrugated Pipe Culvert of off-loading technology are as follows:
In formula:
ΔpThe vertical convergent deformation amount of Steel Corrugated Pipe Culvert, m；
The meaning of remaining symbol is referring to formula (1).
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| CN110837667A (en) * | 2019-10-21 | 2020-02-25 | 暨南大学 | Soil filling method based on steel corrugated plate bridge reinforcement |
| CN112796239A (en) * | 2021-02-03 | 2021-05-14 | 西安世纪金属结构有限公司 | Take steel ripple culvert pipe structure of EPS offloading board |
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| US20030219312A1 (en) * | 2002-05-22 | 2003-11-27 | Hajin Heavy Industries & Construction Co. Ltd. | Method of load reduction on buried culvert using EPS block and/or geosynthetics |
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| US20030219312A1 (en) * | 2002-05-22 | 2003-11-27 | Hajin Heavy Industries & Construction Co. Ltd. | Method of load reduction on buried culvert using EPS block and/or geosynthetics |
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| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110837667A (en) * | 2019-10-21 | 2020-02-25 | 暨南大学 | Soil filling method based on steel corrugated plate bridge reinforcement |
| CN112796239A (en) * | 2021-02-03 | 2021-05-14 | 西安世纪金属结构有限公司 | Take steel ripple culvert pipe structure of EPS offloading board |
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