CN117253561A - Framework compact type cement stabilized macadam grading design method by adding fine grain weathered material - Google Patents

Framework compact type cement stabilized macadam grading design method by adding fine grain weathered material Download PDF

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CN117253561A
CN117253561A CN202311226861.7A CN202311226861A CN117253561A CN 117253561 A CN117253561 A CN 117253561A CN 202311226861 A CN202311226861 A CN 202311226861A CN 117253561 A CN117253561 A CN 117253561A
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fine
grading
weathered
framework
materials
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曹卫东
颜子骐
李竞晨
张修冬
李英剑
詹尊皓
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Shandong University
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    • G16C60/00Computational materials science, i.e. ICT specially adapted for investigating the physical or chemical properties of materials or phenomena associated with their design, synthesis, processing, characterisation or utilisation
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    • G06FELECTRIC DIGITAL DATA PROCESSING
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Abstract

The invention discloses a framework compact type cement stabilized macadam grading design method for adding fine grain weathered materials, which relates to the technical field of grading design and is used for pre-compacting the fine grain weathered materials; mixing the precompacted fine-grained weathered material with each grade of aggregate according to a drawn grading curve I; obtaining the tap density of coarse aggregate, the tight packing density of fine materials and the framework gap rate of the coarse aggregate, and calculating the consumption of the fine weathered materials by combining the mass fraction relation of the coarse aggregate, the fine weathered materials and cement; generating a grading curve II according to the consumption of the fine materials; under the condition of keeping the internal proportion of the coarse aggregate unchanged, changing by taking the consumption of the fine materials as a reference to obtain the rest grading curve; and judging and designing the skeleton compactness of the mixture by adopting the actual measured void ratio of the mixture as an evaluation index, and determining the skeleton compactness grading. The invention provides an expression of the consumption of fine-grain weathered materials suitable for framework compact type cement stabilized macadam, which optimizes the grading design flow and reduces the grading design test amount.

Description

Framework compact type cement stabilized macadam grading design method by adding fine grain weathered material
Technical Field
The invention relates to the technical field of grading design of pavement base materials, in particular to a framework compact type cement stabilized macadam grading design method doped with fine-grain weathered materials.
Background
Cement stabilized macadam is a semi-rigid base material which is commonly used and typical for highway pavement, and a large amount of stone resources are consumed. If the weathered material is used for replacing part of stone in the cement stabilized macadam in the areas with rich weathered material resources, the stone exploitation can be reduced and the mountain can be protected. Because fine-grained weathered materials are high in degree of weathering and low in strength, crushing can be generated in the compacting process, and the grading of raw materials is changed, the influence of the grading change in the compacting process of the weathered materials is considered in the grading design.
Research and application practices show that the skeleton compact type mixture has better mechanical property and durability. The existing framework compact type cement stabilized macadam grading design method mainly comprises a step-by-step filling method, a test method and a volume method, and the problems that the methods still need to be improved still exist: (1) Although the progressive filling method is easy to understand and operate, the result has larger discreteness, larger test amount and longer test period. (2) The test method lacks consideration of the structure of the mixture in determining the aggregate level, and does not systematically evaluate whether coarse aggregate forms a dense framework. (3) The volumetric method mainly considers the relation between coarse aggregate gaps and fine aggregate volumes, and does not consider the volume and filling effect of cement.
Patent CN113936751 a discloses a grading design method of low-dose cement stabilized macadam based on mineral aggregate gap rate physical model, and although the proportion of coarse and fine materials in the grading of the framework compact mineral aggregate is given, the influence of cement in the cement stabilized material on the grading of the aggregate is not considered, and the designed theoretical framework compact structure does not represent the actual framework compact structure. Meanwhile, the method does not take the fine grain weathered material as a stabilizing material, and is not suitable for the cement stabilized macadam grading design mixed with the fine grain weathered material.
In summary, the existing cement stabilized macadam grading design method is still based on experience, has large test amount, does not have a framework compact grading design method mixed with fine air-break materials, and does not consider grading change of the fine air-break materials and filling effect of cement as fine materials in the compacting process.
Disclosure of Invention
Aiming at the defects existing in the prior art, the invention aims to provide a framework compact type cement stabilized macadam grading design method doped with fine grain weathered materials, and provides a fine grain weathered material dosage expression suitable for the framework compact type cement stabilized macadam, which optimizes the grading design flow and reduces the grading design test amount.
In order to achieve the above object, the present invention is realized by the following technical scheme:
the embodiment of the invention provides a framework compact type cement stabilized macadam grading design method doped with fine grain weathered materials, which comprises the following steps:
precompaction is carried out on the fine grain weathered material based on the equivalent compaction work principle, so as to obtain the fine grain weathered material in a grading stable state;
mixing the precompacted fine grain weathered material with each grade of aggregate according to a first formulated grading curve, and setting the demarcation grain size of the coarse grain and the fine grain; dividing coarse aggregate and fine aggregate according to the boundary particle size of the coarse and fine materials; and determining the passing rate of the sieve holes with the demarcation grain diameter.
Measuring the tap density of the coarse aggregate, the tight packing density of the fine aggregate and the framework gap rate of the coarse aggregate, and calculating the consumption of the fine weathered material by combining the mass fraction relation of the coarse aggregate, the fine weathered material and the cement;
generating a grading curve II according to the consumption of the fine materials; under the condition of keeping the internal proportion composition of the coarse aggregate unchanged, changing by taking the consumption of the fine materials as a reference to obtain the rest at least two grading curves;
and (3) taking the actual measured void ratio of the mixture as an evaluation index, judging the skeleton compactness of the second grading curve and the rest grading curve, and determining the skeleton compactness.
As a further implementation, the fine-grained weathered material amount x 2 Expressed as:
wherein, gamma cs Represents the tap density of coarse aggregate, gamma fs Representing the packing density of the fine materials, VCA represents the framework gap rate of coarse aggregates, x 3 Representing the mass fraction of cement.
As a further implementation, the mass fraction of coarse aggregate is x 1 ,x 1 + 2 + 3 =1。
As a further implementation mode, the actual measurement void ratio of the mixture corresponding to the second grading curve and the rest grading curves is compared, and the grading curve with the minimum actual measurement void ratio of the mixture is used as the theoretical skeleton compact grading.
As a further implementation mode, based on the equivalent compaction work principle, a compaction work formula of unit volume is adopted to reflect compaction conditions, and an indoor small-sized road roller is adopted to simulate on-site working conditions.
As a further implementation mode, single-grade aggregates with the grain size larger than the boundary grain size of coarse and fine materials or a mixture obtained by mixing all the aggregates according to a set proportion is coarse aggregates, and fine weathered materials and cement are fine materials.
As a further implementation manner, the coarse aggregate is taken as a framework, and the total volume of the framework is V; the fine grain weathered material and cement are used to fill the interstitial volumes formed by the framework, and the fine material just fills the interstices formed by the coarse aggregate framework.
As a further implementation manner, in the process of setting fine material particles to fill gaps of the framework, the fine material particles do not influence the embedding mode and state of coarse aggregate particles, and then the gap volume of the framework is equal to the volume of the fine material.
As a further implementation, the total volume V of the coarse aggregate framework is:
wherein x is 1 Represents the mass fraction of coarse aggregate, gamma cs Representing the tap density of the coarse aggregate.
The beneficial effects of the invention are as follows:
the fine grain air-converted material in the grading stable state is obtained by pre-compacting the fine grain air-converted material; the expression of the consumption of the fine-grain weathered materials suitable for the framework compact type cement stabilized macadam is provided, the expression optimizes the grading design flow and reduces the grading design test amount.
The invention establishes a framework compact type cement stabilized macadam grading design method by taking VCA as a design index and adding fine grain weathered material, and introduces a measured void ratio VA index of the mixture to evaluate the framework compactness of the mixture.
Drawings
The accompanying drawings, which are included to provide a further understanding of the invention and are incorporated in and constitute a part of this specification, illustrate embodiments of the invention and together with the description serve to explain the invention.
FIG. 1 is a schematic diagram of the volumetric composition of a cement stabilized macadam incorporating fine-grained weathered material;
FIG. 2 is a grading graph of a primary grading in accordance with one or more embodiments of the present disclosure;
FIG. 3 is a grading graph of an adjusted grading two according to one or more embodiments of the present disclosure;
FIG. 4 is a grading graph of an adjusted grading three in accordance with one or more embodiments of the present disclosure;
FIG. 5 is a grading graph of an adjusted grading four in accordance with one or more embodiments of the present disclosure;
FIG. 6 is a flow diagram of a method of skeletal compact grading design in accordance with one or more embodiments of the present invention.
Detailed Description
Embodiment one:
the embodiment provides a framework compact type cement stabilized macadam grading design method doped with fine grain weathered materials, which is shown in fig. 6 and comprises the following steps:
step 1: based on the equivalent compaction work principle, a compaction formula in unit volume is adopted to reflect compaction conditions, a small road roller is used for simulating on-site working conditions, relevant parameters are adjusted, pre-compaction is carried out on fine grain weathered materials, and fine grain weathered materials in a grading stable state are obtained.
In the formula (1), E is compaction work per unit volume; a is amplitude; w is the dead line load; f is exciting force; n is the number of rolling passes; f is the vibration frequency; b is the width of the grinding wheel; v is the rolling speed; θ is the eccentric angle; h is the paving thickness.
Step 2: an S-shaped grading curve I is drawn according to the technical rules of road pavement basic construction (JTGT F20-2015), the precompacted fine air-changed materials are mixed with aggregates of all grades according to the S-shaped grading curve I, the boundary particle size of the coarse and fine materials is set to be 4.75mm, and the passing rate x of the boundary particle size is determined. The single-grade aggregate or the mixture obtained by mixing all the aggregates according to a certain proportion is coarse aggregate, and the fine weathered material and cement are fine materials.
Step 3: determination of coarse aggregate tap Density gamma cs Density of fines packing gamma fs Coarse aggregate skeleton gap ratio VCA; setting x 1 、x 2 、x 3 Respectively coarse aggregate, fine weathered material and cement, and x 1 + 2 + 3 =1, and x is determined from engineering experience 3 The value of (2) is the amount x of fine material 02 + 3
Step 4: based on the construction principle of the compact structure of the cement stabilized macadam skeleton and the functions of the materials in the cement stabilized macadam skeleton, a fine-grain weathered material consumption formula is established.
As shown in fig. 1, coarse aggregate in the cement stabilized macadam functions as a framework, and the total volume of the framework (including the interstitial volumes among coarse aggregate particles) is set to V; fine particles of the fine weathered material (particle size is less than or equal to 4.75 mm) and cement form fine materials, the fine materials are used for filling the gap volume formed by the framework, and the fine materials are considered to just fill the gap formed by the coarse aggregate framework. It is assumed that the fine aggregate particles do not affect the manner and state of the embedment of the coarse aggregate particles during the process of filling the interstices of the skeleton with fine aggregate particles, and the volume of the interstices of the skeleton is just equal to the volume of the fine aggregate.
Establishing an equation set according to the definition of the VCA and the quantitative relation:
the total volume V of the coarse aggregate framework is:
substitution of formula (4) into formula (3) yields:
combining the formula (2) with the formula (5) to obtain the fine grain weathered material dosage x 2
The formula (6) is a fine-grain weathered material dosage formula of the cement stabilized macadam doped with the fine-grain weathered material. According to engineering experience of cement stabilized macadam, the cement dosage is generally 3-5% of the stone mass, so x is as follows 3 The value of (2) is 0.03-0.05, so that the consumption of the fine weathered material can be calculated according to the formula (6), and the fine consumption guiding grading design can be determined according to the consumption.
Step 5: generating a grading curve II according to the consumption of the fine materials, wherein the grading is the compact grading of the theoretical framework.
Step 6: in the amount x of fine materials, the composition of the internal proportion of coarse aggregates is kept unchanged 0 And (3) performing small-amplitude variation for a reference, and generating a third grading group and a fourth grading group serving as a control group.
Step 7: and taking the actual measured void ratio VA of the mixture as an evaluation index to verify the compactness of the graded skeleton.
In the embodiment, the other 3 grading curves based on the primary grading I are obtained through the grading optimization design, namely the secondary grading, the tertiary grading and the quaternary grading, and the actual skeleton compact grading can be determined by experiments in the coverage range of the secondary grading, the tertiary grading and the quaternary grading curves in consideration of the certain interference effect of the fine grain air-changed materials on the grading crushed stone coarse aggregate arrangement.
The framework compact type mixture of the embodiment consists of three parts of cement, broken stone and fine-grain weathered materials, and the actual measurement of void ratio index of the mixture is adopted to judge the framework compactibility of three gradations.
The actual void fraction of the mixture can be calculated from formula (7).
In the formula (7): p is p d Represents the maximum dry density, g/cm, of the mixture 3 ;γ sa Represents the synthesized apparent density of the mixture, and is synthesized by the apparent density of coarse aggregate and the maximum dry density of fine aggregate, g/cm 3 The method comprises the steps of carrying out a first treatment on the surface of the Omega represents the water content of the mixture in decimal.
And comparing the actual measured void ratios of the mixture corresponding to the second grading, the third grading and the fourth grading, and taking the grading with the smallest actual measured void ratio of the mixture as the theoretical framework compact grading.
The embodiment provides a fine-grain weathered material dosage expression suitable for the framework compact type cement stabilized macadam, optimizes the grading design flow, reduces the grading design test quantity, establishes a grading design method of the framework compact type cement stabilized macadam by taking VCA as a design index and adding the fine-grain weathered material, introduces the actual measurement void ratio VA index of the mixture, and evaluates the framework compactness of the mixture.
Embodiment two:
the design method according to the first embodiment is described based on specific parameters, specifically as follows:
step 1: pretreatment of fine-grained weathered materials.
The parameters related to the road roller for a certain road are shown in table 1:
table 1 related parameters of vibratory roller
Parameters (parameters) A/m W/N F/N f/Hz B/m v/(m/s) θ/° h/cm E/(J/m 3 )
Numerical value 0.0009 516000 374000 33 2.13 1.4 7 30 1166
By substituting the parameters in Table 1 into formula (1), the compaction work per unit volume of one pass of rolling is 1166J/m 3
The relevant parameters of a commonly used indoor road roller are shown in table 2:
table 2 parameters relating to the road roller
Parameters (parameters) A/m W/N F/N f/Hz B/m v/(m/s) θ/° h/cm E/(J/m 3 )
Numerical value 0.0004 116000 50000 60 1.2 0.7 3 18 1153
Substituting the parameters in Table 2 into formula (1) gives a compaction work per unit area of 1153/m for 1 pass 3
Based on the principle of equivalent compaction work, the compaction work of the two units in unit volume can be converted, namely the compaction work is carried out for 1 time under the working condition of the site, and the compaction work of the indoor road roller is carried out for 1 time. Therefore, the fine-grain weathered material is pre-pressed by adopting the indoor road roller, and when the fine-grain weathered material is rolled for 3 times according to the site working condition, the fine-grain weathered material is nearly in a stable state, so that the fine-grain weathered material is rolled for 3 times, and the graded stable weathered material is obtained.
Step 2: and (5) drawing a grading curve.
When the grading design of the cement stabilized macadam is carried out according to the construction specification, 1-3 grading curves are drawn in the grading range; for ease of calculation, 1 grading curve was developed in this example, and the passing percentages of the respective meshes of the primary grading curve are shown in Table 3 and FIG. 2; the passage rate x of the grading curve at the sieve mesh with the boundary particle diameter of 4.75mm is 32.5%. The screening results of the aggregates are shown in Table 4.
TABLE 3 Primary screen passing percentage (%)
TABLE 4 aggregate screening results (%)
Step 3: calculating the fine grain weathered material dosage x of the compact framework grading corresponding to the planned grading curve 2
Three grades of coarse aggregates (20-30 mm, 10-20mm and 5-10 mm) are mixed according to the proportion of 14.0:34.0:15.2, sieving the fine materials with a sieve of 4.75mm or less through a sieve opening of 4.75mm, and thenThen, the gap rate VCA of the skeleton of the coarse aggregate of the screen residue is measured by a tap test method, and the tap density gamma of the coarse aggregate cs Sieving the treated fine weathered material with 4.75mm sieve according to table 3, sieving to remove coarse aggregate above 4.75mm, mixing the sieved fine weathered material with cement, testing and calculating to obtain compact density gamma of fine material by tap test method fs Calculating the fine grain weathered material dosage x in the dense real time of the framework according to the formula (6) 2 The basic data and the calculation results of the test are shown in Table 5.
Table 5 shows the amounts of cement and weathered materials used in formulating the gradation coarse aggregate, fine aggregate parameters and the compaction of the skeleton
Step 4: the primary grading is adjusted to obtain the compact framework grading:
the calculation result of the formula (6) is the fine-grained weathered material amount. When the cement dosage is calculated to be 4%, the fine grain weathered material dosage is 31.6%, and the fine grain weathered material dosage is 31.6% +4% = 35.6% of the fine grain weathered material dosage plus the cement dosage.
The proportion of the produced grading II is 14.2 with the use amount of the fine materials of 35.6 percent: 34.7:15.5:31.6:4, the proportion is the compact type grading of the theoretical skeleton, as shown in figure 3.
Formula (6) is established under certain assumption, and the amount of fine materials x is kept constant while the internal proportion composition of coarse aggregates is kept constant 0 A third and fourth grading is generated for the reference variation, see fig. 4 and 5.
Step 5: and (3) actual measurement void ratio test of the mixture with the theoretical skeleton compact grading:
the other 3 grading curves based on primary grading are obtained through grading optimization design, and the actual skeleton compact grading can be in the coverage range of the two, three and four 3 grading curves in consideration of the interference effect of fine-grain weathered materials on the arrangement of crushed stone coarse aggregates, so that the actual skeleton compact grading needs to be determined through experiments.
The actual void fraction of the mixture can be calculated from formula (7).
The actual measurement void ratio calculation results of the grading two, three and four mixtures are shown in Table 6.
Table 6 3 actual measurement of void fraction calculation results for the graded mix
From the calculation result of the actual measurement of the void fraction VA of the mixture, the void fraction is ranked: the grading is three > four > two, namely the grading is ideal skeleton compact grading in practice.
The foregoing description is only of the preferred embodiments of the present application and is not intended to limit the same, but rather, various modifications and variations may be made by those skilled in the art. Any modification, equivalent replacement, improvement, etc. made within the spirit and principles of the present application should be included in the protection scope of the present application.

Claims (10)

1. The framework compact type cement stabilized macadam grading design method with fine grain weathered materials is characterized by comprising the following steps of:
precompaction is carried out on the fine grain weathered material based on the equivalent compaction work principle, so as to obtain the fine grain weathered material in a grading stable state;
mixing the precompacted fine grain weathered material with each grade of aggregate according to a first formulated grading curve, and setting the demarcation grain size of the coarse grain and the fine grain; dividing coarse aggregate and fine aggregate according to the boundary particle size of the coarse and fine materials;
obtaining the tap density of coarse aggregate, the tight packing density of fine materials and the framework gap rate of the coarse aggregate, and calculating the consumption of the fine weathered materials by combining the mass fraction relation of the coarse aggregate, the fine weathered materials and cement;
generating a grading curve II according to the consumption of the fine materials; under the condition of keeping the internal proportion of the coarse aggregate unchanged, changing by taking the consumption of the fine materials as a reference to obtain the rest at least two grading curves;
and judging the skeleton compactness of the second grading curve and the rest grading curve by adopting the actual measured void ratio of the mixture as an evaluation index, and determining the skeleton compactness.
2. The method for designing the grading of the framework-compacted cement stabilized macadam by adding fine-grained weathered materials according to claim 1, wherein the fine-grained weathered materials are used in an amount x 2 Expressed as:
wherein, gamma cs Represents the tap density of coarse aggregate, gamma fs Representing the packing density of the fine materials, VCA represents the framework gap rate of coarse aggregates, x 3 Representing the mass fraction of cement.
3. The method for designing the grading of the framework-dense cement stabilized macadam by adding fine-grained weathered materials according to claim 2, wherein the mass fraction of the coarse aggregate is x 1 ,x 1 +x 2 +x 3 =1。
4. The method for designing the grading of the framework-compacted cement stabilized macadam with the fine-grained air-filled material according to claim 1, wherein the actual measured void ratio of the mixture corresponding to the second grading curve and the rest grading curve is compared, and the grading curve with the minimum actual measured void ratio of the mixture is taken as the theoretical framework compaction grading.
5. The method for designing a skeleton-dense cement stabilized macadam gradation with fine-grained weathered material according to claim 1 or 4, wherein the mixture skeleton compactness is evaluated by the actual measured void fraction of the mixture.
6. The framework compaction type cement stabilized macadam grading design method for adding fine-grained weathered materials according to claim 1, wherein a compaction condition is reflected by adopting a compaction formula in unit volume based on an equivalent compaction work principle, and an indoor small road roller is adopted to simulate on-site working conditions.
7. The method for designing the grading of the framework-dense cement stabilized macadam doped with fine-grained weathered materials according to claim 1, wherein single-grade aggregate or a mixture obtained by mixing all-grade aggregates with a set proportion, wherein the single-grade aggregate or the mixture is larger than the boundary particle size of coarse-grade and fine-grade aggregate, and the fine-grained weathered materials and cement are fine-grade aggregates.
8. The method for designing the grading of the fine-grained weathered-material-doped framework-compact-type cement stabilized macadam according to claim 7, wherein the coarse aggregate is used as a framework, and the total volume of the framework is V; the fine grain weathered material and cement are used to fill the interstitial volumes formed by the framework, and the fine material just fills the interstices formed by the coarse aggregate framework.
9. The method for designing the grading of the compact-framework cement stabilized macadam doped with fine-grain weathered materials according to claim 8, wherein in the process of setting fine-grain filling framework gaps, the fine-grain filling process does not influence the embedding mode and state of coarse-grain aggregate grains, and the gap volume of the framework is equal to the volume of the fine-grain aggregate.
10. The method for designing the grading of the framework-compacted cement stabilized macadam with the fine-grained weathered material according to claim 8, wherein the total volume V of the aggregate framework is:
wherein x is 1 Represents the mass fraction of coarse aggregate, gamma cs Representing the tap density of the coarse aggregate.
CN202311226861.7A 2023-09-21 2023-09-21 Framework compact type cement stabilized macadam grading design method by adding fine grain weathered material Pending CN117253561A (en)

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