CN104074139A - Method for adjusting weight of fillers on masonry arch bridge in partitioning manner - Google Patents
Method for adjusting weight of fillers on masonry arch bridge in partitioning manner Download PDFInfo
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- CN104074139A CN104074139A CN201410272591.8A CN201410272591A CN104074139A CN 104074139 A CN104074139 A CN 104074139A CN 201410272591 A CN201410272591 A CN 201410272591A CN 104074139 A CN104074139 A CN 104074139A
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Abstract
The invention discloses a method for adjusting the weight of fillers on a masonry arch bridge in a partitioning manner. The masonry arch bridge comprises a main arch ring (1), spandrel arch rings (2), a filler layer (3) on arches, and a bridge panel (4). The method comprises the steps: the filler layer (3) on the arches is divided into an arch top area (31) and spandrel arch areas (32), wherein the arch top area (31) is formed between the main arch ring (1) and the bridge panel (4), and the spandrel arch areas (32) are formed between the spandrel arch rings (2) and the bridge panel (4); lightweight concrete fillers with the apparent density from 800kg/m3 to 1200 kg/m3 are filled into the arch top area (31), and lightweight concrete fillers or ordinary soil quality fillers with the apparent density from 1200kg/m3 to 1950 kg/m3 are filled into the spandrel arch areas (32); and the weight of the filler layer (3) on the arches is adjusted by calculating three objective functions, i.e. bending moments Md, M1/4 and Mj generated by the main arch ring on the arch top, the one quarter of an arch span, and arch feet, and the like. The method has the advantages that the utilization efficiency of arch ring materials can be improved, the distribution of the internal force of the main arch ring is improved, and the carrying capacity of the arch bridge is improved.
Description
Technical field
The invention belongs to bridge structure design, the reinforcing of old bridge and material selection field, relate in particular to a kind of method of subregion adjusting masonry arch bridge arch fill severe.
Background technology
Arch bridge is a kind of bridge pattern conventional in highway in China, mainly formed by main arch ring and spandrel construction, wherein main arch ring is the structure of mainly bearing pressure, can make full use of that tensile property is poor and the good masonry material of compressive property (building stones, concrete, brick etc.) is built arch bridge, the arch bridge that this masonry material is built is also referred to as masonry arch bridge.Look back the design cycle of arch bridge, the arch of main arch ring is the controlling unit of design, the stressed idealized model of main arch ring is exactly that arch overlaps with its dead load thrust line, like this under dead load, main arch ring only has axial force, moment of flexure is zero, is beneficial to make full use of the compressive property of arch ring masonry material, reaches ideal stressed effect.But in fact, in the time that spandrel structure is open web type, its dead load is not continuous distributed, dead load thrust line neither a level and smooth curve, is difficult to reach the perfect condition that arch and dead load thrust line coincide.In new bridge design, generally adopt 5 coincidence methods, make arch overlap with pressure line at vault, two 1/4 spans of arch and two arch springing places, but for the old arch bridge needing reinforcement, its arch is determined, cannot be adjusted.Therefore, in the time of arch bridge design and reinforcing, can consider to set about from spandrel construction, minimizing main arch ring bears the proportion of external load, adjusts the relative position relation of arch axis pressure pressure line and arch by changing the way of dead load, improves the stress of main arch ring.
Arch fill shared deadweight in spandrel construction is larger, manages to alleviate its weight and can effectively recover and improve the supporting capacity of bridge.Traditional arch fill conventionally adopts gravel, rubble, coarse sand or cobble folder clay and is tamped, with respect to these common sandy soil arch fills, light weight aggregate concrete has the following advantages: the one, and apparent density can regulate, and this becomes the basis that main arch ring pressure line is adjusted; The 2nd, intensity is high, and anti-permeability performance is good, can effectively reduce deck paving because of the compactness of arch fill and seepage problem and produce the diseases such as cracking, breakage; The 3rd, constructability, because ordinary soil arch fill needs repeatedly compacting, and arch fill belongs to dwarf soil, be not easy to big machinery compacting, artificial compacting is long in time limit, difficult quality guarantee, light weight aggregate concrete only needs vibration compacting, has avoided the shortcoming of ordinary soil filler.Utilize filler severe to adjust arch axis pressure line, improve arch bridge stress, this method can make that construction is easier, operation is few, and can make full use of the performance of arch ring masonry material, has good economy and suitability.Yet there are no the correlative study that light weight aggregate concrete is adjusted arch axis pressure line as arch fill.
Summary of the invention
The object of the invention is to solve the problem existing in above-mentioned technology, provide a kind of subregion to regulate the method for masonry arch bridge arch fill severe.The method can improve the utilization ratio of arch ring material, improves main arch ring internal force and distributes, and improves the supporting capacity of arch bridge.
For achieving the above object, the invention provides following technical scheme:
Subregion regulates a method for masonry arch bridge arch fill severe, and described masonry arch bridge comprises main arch ring, spandrel arch circle, arch fill layer and bridge deck, comprises the following steps:
A. described arch fill layer being divided into vault region and spandrel arch region, is vault region between described main arch ring and bridge deck, between described spandrel arch circle and bridge deck, is spandrel arch region;
B. filling apparent density in described vault region is 800kg/m
3~1200kg/m
3light weight concrete construction filler, it is 1200kg/m that apparent density is filled in described spandrel arch region
3~1950kg/m
3light weight concrete construction filler or ordinary soil filler;
C. the severe of described arch fill layer is the moment M that main arch ring produces at vault, 1/4 span of arch and arch springing according to three object functions
d, M
1/4, M
jcalculating regulate;
D., lateral deformation seam is set between described vault region and spandrel arch region;
E. at the arch springing place of described spandrel arch circle, tapping pipe is all set;
F. establish waterproof concrete on described bridge deck upper berth.
The above light weight concrete construction filler is lightweight aggregate, or the concrete that is configured to of normal sands, cement and water, and its apparent density can be from 800kg/m
3~1950kg/m
3between adjust, between axial compressive strength 5.0~32MPa.
The above lightweight aggregate can adopt lytag, leca, haydites of book structure, float stone or scoria, self-igniting coal gangue and expanded slag pearl.
Above-described is the moment M that main arch ring produces at vault, 1/4 span of arch and arch springing according to three object functions
d, M
1/4, M
jcalculating, concrete calculation procedure is:
Step 1, list object function expression formula and be:
Can find out the moment M that vault, 1/4 span of arch and arch springing produce according to object function
d, M
1/4, M
jonly with the severe g of spandrel arch region and vault region filler
sand g
crelevant;
Step 2, set up FEM (finite element) model, calculate the effect that arch fill produces for the arch bridge of ordinary soil filler, wherein, ordinary soil filler severe is 19.5kN/m
3, main arch ring cross section dead load moment M
m, the moment of flexure that vault, 1/4 span of arch and arch springing produce is respectively M
md, M
m1/4, M
mj;
In step 3, amendment FEM (finite element) model, the filler severe in vault district, will change the light weight concrete construction severe of filling out at 8kN/m
3~12kN/m
3between regulate; Calculate the dead load moment M in such operating mode main arch ring cross section
c, the moment of flexure that vault, 1/4 span of arch and arch springing produce is respectively M
cd, M
c1/4, M
cj;
Step 4, according to formula K=(M
c-M
m)/M
m× 100%, calculate respectively vault, 1/4 span of arch and arch springing at the main arch ring cross section dead load moment of flexure difference percentage changing before and after filling out, find out the vault district filler severe of moment reduction amplitude maximum;
Step 5, by the filler severe of FEM (finite element) model midfield arch area at 12kN/m
3~19.5kN/m
3between regulate, repeating step four, determines the filler severe in spandrel arch district and vault district.
The above deformation joint width is 2cm, inside fills out pitch loose hemp fiber.
The above masonry arch bridge comprises newly building bridge and lists the old bridge of reinforcing maintenance in.
Compared with prior art, beneficial effect of the present invention is:
(1) thus adjust arch axis pressure line by the filler severe that regulates zones of different, can effectively reduce the moment of flexure of main arch ring, make main arch ring Bending moment distribution even, give full play to the compressive property that arch ring masonry material is good.In this way, as the ancillary method of other reinforcement means, can make main arch ring stressed more reasonable, effectively reduce having used of reinforcement material.
(2) adopt light weight aggregate concrete as arch fill, the significantly intensity of reinforcer and impermeabilisation ability, reduces deck paving disease, improves durability and the comfort level of bridge.Meanwhile, can save the compacting operation of ordinary soil filler, convenient construction, accelerating construction progress.
(3) relative ordinary soil filler, while adopting lightweight aggregate coagulation as arch fill, the stressed effect of improving of main arch ring:
1. in the time that vault district and spandrel arch district all adopt light weight aggregate concrete, the moment of flexure of main arch ring decreases, but the amplitude reducing is little, and crown section moment of flexure also increases to some extent.
2. filler severe has been carried out to subregion condition, adopt heavier filler in spandrel arch district, adopt compared with lightweight filler in vault district, arch springing cross section moment of flexure reduces by 80%, vault reduces by 40%, 1/4 span of arch and reduces by 55%, the internal force of main arch ring is improved to effect very obvious, and the Bending moment distribution of vault, 1/4 span of arch and arch springing is more even, has effectively improved Section resistance.
Brief description of the drawings
Fig. 1 is the structural representation of the embodiment of the present invention;
Fig. 2 is the schematic diagram that the embodiment of the present invention draws deformation joint and tapping pipe;
Reference numeral: main arch ring 1, spandrel arch circle 2, arch fill layer 3, bridge deck 4, deformation joint 5, tapping pipe 6, vault region 31, spandrel arch region 32.
Detailed description of the invention
Below in conjunction with embodiment, the present invention is described in further detail, but embodiments of the present invention are not limited to the scope that embodiment represents.
Embodiment 1:
As shown in attached Fig. 1 and 2, certain bridge is across 100 meters, footpath, only loses the variable cross-section catenary open web type double curvature arched bridge of high 12.24 meters, 20.2 meters of bridge widths, coaxial Coefficient m=3.892 of main arch ring, encircle thick variation coefficient n=0.3, vault thickness is 1.4 meters, and arch springing thickness is 2.26 meters.
The present embodiment is old bridge stabilization works, comprises main arch ring 1, spandrel arch circle 2, arch fill layer 3 and bridge deck 4, between main arch ring 1 and bridge deck 4, is vault region 31, between spandrel arch circle 2 and bridge deck 4, is spandrel arch region 32; It is 800kg/m that apparent density is filled in vault region
3~1200kg/m
3light weight concrete construction filler, it is 1200kg/m that apparent density is filled in spandrel arch region
3~1950kg/m
3light weight concrete construction filler or ordinary soil filler; Light weight concrete construction filler is the concrete that lightweight aggregate or normal sands, cement and water are configured to, and wherein, lightweight aggregate can adopt lytag, leca, haydites of book structure, float stone or scoria, self-igniting coal gangue and expanded slag pearl.The severe of arch fill layer 3 is the moment M that main arch ring produces at vault, 1/4 span of arch and arch springing according to three object functions
d, M
1/4, M
jcalculating regulate.In the time of the arch fill filling between vault region 31 and spandrel arch region 32, need reserve lateral deformation seam 5, width is 2cm, is all arranged on spandrel arch circle 2 arch springing places, inside fills out pitch loose hemp fiber.Spandrel arch circle 2 arch springing places all set up tapping pipe, and diameter is the PVC tapping pipe of φ 110 × 1900mm, and tapping pipe stretches out railing 15cm.On bridge deck 4, need to lay the C40 waterproof concrete that 15cm is thick.
Be the moment M that main arch ring produces at vault, 1/4 span of arch and arch springing according to three object functions
d, M
1/4, M
jcalculating, concrete calculation procedure is: step 1, list object function expression formula and be:
Can find out the moment M that vault, 1/4 span of arch and arch springing produce according to object function
d, M
1/4, M
jonly with the severe g of spandrel arch district and vault district filler
sand g
crelevant.
Step 2, set up FEM (finite element) model, calculating arch fill is that (filler severe is 19.5kN/m to ordinary soil filler
3) effect (the main arch ring cross section dead load moment M that produces of arch bridge
m), the moment of flexure that vault, 1/4 span of arch and arch springing produce is respectively M
md, M
m1/4, M
mj.
In step 3, amendment FEM (finite element) model, the filler severe in vault district, will change the light weight concrete construction severe of filling out at 8kN/m
3~12kN/m
3between regulate; Calculate the dead load moment M in such operating mode main arch ring cross section
c, the moment of flexure that vault, 1/4 span of arch and arch springing produce is respectively M
cd, M
c1/4, M
cj.
Step 4, according to formula K=(M
c-M
m)/M
m× 100%, calculate respectively vault, 1/4 span of arch and arch springing at the main arch ring cross section dead load moment of flexure difference percentage changing before and after filling out, find out the vault district filler severe of moment reduction amplitude maximum.
Step 5, by the filler severe of FEM (finite element) model midfield arch area at 12kN/m
3~19.5kN/m
3between regulate, repeating step four, determines the filler severe in spandrel arch district and vault district.
Table 1 is main arch ring cross section dead load moment of flexure contrast table.
Table 1
According to above the trial result, to determine in spandrel arch district and change and fill out ordinary soil filler, severe is 19.5kN/m
3, to change and fill out light material concrete in vault district, severe is 8kN/m
3, from arch springing toward vault symmetrical construction.After arch fill changes and fills out, main arch ring internal force improves very obvious, make arch springing cross section moment of flexure reduce by 80% compared with operating mode (1), vault reduces by 37.3%, 1/4 span of arch reduces by 55.1%, and the Bending moment distribution of vault, 1/4 span of arch and arch springing is more even, greatly improve the utilization rate of arch ring material, effectively improve Section resistance.
Embodiment 2:
As shown in attached Fig. 1 and 2, certain newly building bridge is 57.622 meters across footpath, only loses high 9.568 meters of variable cross-section catenary open web type double curvature arches, and arch ring is that 4 rib 3 ripple both sides add outstanding half-wave; 7.86 meters of bridge widths, bridge floor is clean (7+2 × 0.43) rice.
The present embodiment is the design of newly building bridge arch fill, comprises main arch ring 1, spandrel arch circle 2, arch fill layer 3 and bridge deck 4, between main arch ring 1 and bridge deck 4, is vault region 31, between spandrel arch circle 2 and bridge deck 4, is spandrel arch region 32; It is 800kg/m that apparent density is filled in vault region
3~1200kg/m
3light weight concrete construction filler, it is 1200kg/m that apparent density is filled in spandrel arch region
3~1950kg/m
3light weight concrete construction filler or ordinary soil filler; Light weight concrete construction filler is the concrete that light coarse aggregate, light fines or normal sands, cement and water are configured to, and wherein, lightweight aggregate can adopt lytag, leca, haydites of book structure, float stone or scoria, self-igniting coal gangue and expanded slag pearl.The severe of arch fill layer 3 is the moment M that main arch ring produces at vault, 1/4 span of arch and arch springing according to three object functions
d, M
1/4, M
jcalculating regulate.In the time of the arch fill filling between vault region 31 and spandrel arch region 32, need reserve lateral deformation seam 5, width is 2cm, is all arranged on spandrel arch circle 2 arch springing places, inside fills out pitch loose hemp fiber.Spandrel arch circle 2 arch springing places all set up tapping pipe, and diameter is the PVC tapping pipe of φ 110 × 1900mm, and tapping pipe stretches out railing 15cm.On bridge deck 4, need to lay the C40 waterproof concrete that 15cm is thick.
Be the moment M that main arch ring produces at vault, 1/4 span of arch and arch springing according to three object functions
d, M
1/4, M
jcalculating, concrete calculation procedure is: step 1, list object function expression formula and be:
Can find out the moment M that vault, 1/4 span of arch and arch springing produce according to object function
d, M
1/4, M
jonly with the severe g of spandrel arch district and vault district filler
sand g
crelevant.
Step 2, set up FEM (finite element) model, calculating arch fill is that (filler severe is 19.5kN/m to ordinary soil filler
3) effect (the main arch ring cross section dead load moment M that produces of arch bridge
m), the moment of flexure that vault, 1/4 span of arch and arch springing produce is respectively M
md, M
m1/4, M
mj.
In step 3, amendment FEM (finite element) model, the filler severe in vault district, will change the light weight concrete construction severe of filling out at 8kN/m
3~12kN/m
3between regulate; Calculate the dead load moment M in such operating mode main arch ring cross section
c, the moment of flexure that vault, 1/4 span of arch and arch springing produce is respectively M
cd, M
c1/4, M
cj.
Step 4, according to formula K=(M
c-M
m)/M
m× 100%, calculate respectively vault, 1/4 span of arch and arch springing at the main arch ring cross section dead load moment of flexure difference percentage changing before and after filling out, find out the vault district filler severe of moment reduction amplitude maximum.
Step 5, by the filler severe of FEM (finite element) model midfield arch area at 12kN/m
3~19.5kN/m
3between regulate, repeating step four, determines the filler severe in spandrel arch district and vault district.
Table 2 is main arch ring cross section dead load moment of flexure contrast table.
Table 2
According to above the trial result, to determine in spandrel arch district and change and fill out ordinary soil filler, severe is 19kN/m
3, to change and fill out light material concrete in vault district, severe is 8.5kN/m
3, from arch springing toward vault symmetrical construction.After arch fill changes and fills out, main arch ring internal force improves very obvious, makes arch springing cross section moment of flexure reduce by 74.3% compared with operating mode (1), and vault reduces by 24.2%, 1/4 span of arch and reduces by 58.7%.
Claims (6)
1. the method for a subregion adjusting masonry arch bridge arch fill severe, described masonry arch bridge comprises main arch ring (1), spandrel arch circle (2), arch fill layer (3) and bridge deck (4), it is characterized in that comprising the following steps:
A. described arch fill layer (3) is divided into vault region (31) and spandrel arch region (32), between described main arch ring (1) and bridge deck (4), being vault region (31), is spandrel arch region (32) between described spandrel arch circle (2) and bridge deck (4);
B. filling apparent density in described vault region (31) is 800kg/m
3~1200kg/m
3light weight concrete construction filler, it is 1200kg/m that (32) apparent density is filled in described spandrel arch region
3~1950kg/m
3light weight concrete construction filler or ordinary soil filler;
C. the severe of described arch fill layer (3) is the moment M that main arch ring produces at vault, 1/4 span of arch and arch springing according to three object functions
d, M
1/4, M
jcalculating regulate;
D., lateral deformation seam (5) is set between described vault region (31) and spandrel arch region (32);
E. at the arch springing place of described spandrel arch circle (2), tapping pipe (6) is all set;
F. establish waterproof concrete on described bridge deck (4) upper berth.
2. subregion according to claim 1 regulates the method for masonry arch bridge arch fill severe, it is characterized in that: described light weight concrete construction filler is lightweight aggregate, or the concrete that normal sands, cement and water are configured to, between axial compressive strength 5.0~32MPa.
3. subregion according to claim 2 regulates the method for masonry arch bridge arch fill severe, it is characterized in that: described lightweight aggregate can adopt lytag, leca, haydites of book structure, float stone or scoria, self-igniting coal gangue and expanded slag pearl.
4. subregion according to claim 1 regulates the method for masonry arch bridge arch fill severe, it is characterized in that: described is the moment M that main arch ring produces at vault, 1/4 span of arch and arch springing according to three object functions
d, M
1/4, M
jcalculating, concrete calculation procedure is:
Step 1, list object function expression formula and be:
Can find out the moment M that vault, 1/4 span of arch and arch springing produce according to object function
d, M
1/4, M
jonly with the severe g of spandrel arch region (32) and vault region (31) filler
sand g
crelevant;
Step 2, set up FEM (finite element) model, calculate the effect that arch fill produces for the arch bridge of ordinary soil filler, wherein, ordinary soil filler severe is 19.5kN/m
3, main arch ring cross section dead load moment M
m, the moment of flexure that vault, 1/4 span of arch and arch springing produce is respectively M
md, M
m1/4, M
mj;
In step 3, amendment FEM (finite element) model, the filler severe in vault district, will change the light weight concrete construction severe of filling out at 8kN/m
3~12kN/m
3between regulate; Calculate the dead load moment M in such operating mode main arch ring cross section
c, the moment of flexure that vault, 1/4 span of arch and arch springing produce is respectively M
cd, M
c1/4, M
cj;
Step 4, according to formula K=(M
c-M
m)/M
m× 100%, calculate respectively vault, 1/4 span of arch and arch springing at the main arch ring cross section dead load moment of flexure difference percentage changing before and after filling out, find out the vault district filler severe of moment reduction amplitude maximum;
Step 5, by the filler severe of FEM (finite element) model midfield arch area at 12kN/m
3~19.5kN/m
3between regulate, repeating step four, determines the filler severe in spandrel arch district and vault district.
5. subregion according to claim 1 regulates the method for masonry arch bridge arch fill severe, it is characterized in that: described deformation joint (5) width is 2cm, inside fills out pitch loose hemp fiber.
6. the method that regulates masonry arch bridge arch fill severe according to the subregion described in any one in claim 1-5, is characterized in that: described masonry arch bridge comprises newly building bridge and lists the old bridge of reinforcing maintenance in.
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WO2019166919A1 (en) | 2018-02-28 | 2019-09-06 | 3M Innovative Properties Company | Pressure-sensitive adhesive composition, pressure-sensitive adhesive, pressure-sensitive adhesive layer, method for preparing pressure-sensitive adhesive, and method for preparing pressure-sensitive adhesive layer |
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