CN106702913B - The antiarch structural strengthening method reduced based on arch bridge mid span moment - Google Patents

The antiarch structural strengthening method reduced based on arch bridge mid span moment Download PDF

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CN106702913B
CN106702913B CN201710014424.7A CN201710014424A CN106702913B CN 106702913 B CN106702913 B CN 106702913B CN 201710014424 A CN201710014424 A CN 201710014424A CN 106702913 B CN106702913 B CN 106702913B
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arch
antiarch
msub
mrow
reinforce
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CN106702913A (en
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于孟生
邓年春
郝天之
石拓
陈齐风
王龙林
刘世建
万杰
罗月静
杨雨厚
李增科
谢军
毛晶
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Guangxi Transportation Research and Consulting Co Ltd
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    • E—FIXED CONSTRUCTIONS
    • E01—CONSTRUCTION OF ROADS, RAILWAYS, OR BRIDGES
    • E01D—CONSTRUCTION OF BRIDGES, ELEVATED ROADWAYS OR VIADUCTS; ASSEMBLY OF BRIDGES
    • E01D22/00—Methods or apparatus for repairing or strengthening existing bridges ; Methods or apparatus for dismantling bridges
    • E—FIXED CONSTRUCTIONS
    • E01—CONSTRUCTION OF ROADS, RAILWAYS, OR BRIDGES
    • E01D—CONSTRUCTION OF BRIDGES, ELEVATED ROADWAYS OR VIADUCTS; ASSEMBLY OF BRIDGES
    • E01D4/00—Arch-type bridges

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  • Architecture (AREA)
  • Civil Engineering (AREA)
  • Structural Engineering (AREA)
  • Bridges Or Land Bridges (AREA)

Abstract

The invention discloses a kind of antiarch structural strengthening methods reduced based on arch bridge mid span moment, by setting antiarch below main arch ring arch rib, and it is connected between antiarch and arch rib with montant, the arch springing and arch rib of antiarch are linked together by bending resistance built-in fitting and shear amchor bolt again so that antiarch structure and former main arch ring for reinforcing form rigid constraint support system；And the rigid constraint support system hogging bridge mid span moment reduces degree and waits that reinforcing arch and 7 parameters of antiarch has close relationship, by setting different 7 parameter variable values, token state is changed as moment of flexure using the ratio for waiting to reinforce arch and reinforcing rear arch mid span moment, based on finite element parametric analysis approximating method, you can 7 parameters more than obtaining and the relational expression of moment of flexure variation token state.With the application of the invention, force value in structure feature can be solved with reference to foregoing relationships, antiarch reinforcing is carried out so as to fulfill optimal case is chosen.

Description

The antiarch structural strengthening method reduced based on arch bridge mid span moment
Technical field
The invention belongs to Arch Bridges Strengthening technical field more particularly to a kind of antiarch structures reduced based on arch bridge mid span moment Reinforcement means.
Background technology
Arch bridge is using a kind of extensive and time-honored Bridge Types in highway in China, especially in Guangxi border Interior, even more common, it and blue mountains and green waters set each other off, very grand.But with the aging of material and the increasingly increased volume of traffic, Most of bridge can not meet operation demand.The dead weight of some concrete arch-type bridges is larger, and main arch ring is primarily subjected to pressure, Chang Hui Because pressure-bearing deficiency causes arch ring crack to increase, there is the apparent lower flexure strain of span centre in minority, and bearing capacity and comfort decline；If it tears open Fall to rebuild, it is time-consuming and laborious, but at present and without good reinforcement means.
Concrete arch-type bridge is often that increase main arch ring cross-section, adjustment spandrel construction dead load and enhancing are laterally whole with reinforcement means The methods of body, affixing steel plate and fibrous composite, application external prestressing, reinforces.Lot of examples shows that original method is reinforced Have little effect, and the effect that the fine or not degree direct influence of bonding of new and old material is reinforced is runed after bridge strengthening and shortly can There is the problems such as disengaging of the old and new's material, cohesive force declines, treating that the main arch ring mid span moment of reinforcement bridge is excessive causes crack etc. Common fault cannot improve well.
The content of the invention
The technical problem to be solved in the present invention is to provide it is a kind of it is easy for construction, simple and reliable, work well based on arch bridge The antiarch structural strengthening method that mid span moment reduces.
In order to solve the above technical problems, the present invention uses following technical scheme：
Based on arch bridge mid span moment reduce antiarch structural strengthening method, by setting antiarch below main arch ring arch rib, And be connected between antiarch and arch rib with montant, then the arch springing of antiarch is connected with arch rib with shear amchor bolt by bending resistance built-in fitting Together so that antiarch structure and former main arch ring for reinforcing form rigid constraint support system；And the rigid constraint branch Support body system meets relationship below：
In formula：
Wait reinforce arch and antiarch 7 parameters be respectively antiarch and wait reinforce arch equivalent redius than i, wait reinforce encircle meter It calculates across footpath L, wait to reinforce the ratio of rise to span S of arch1, wait reinforce arch arch axis coefficient m1, S is compared in the rise of antiarch and span of arch footpath to be reinforced2、 The arch axis coefficient m of antiarch2, the ratio K in the across footpath of antiarch and span of arch footpath to be reinforcedr；
RfFor antiarch equivalent redius, IX, fIt is used to for the x directions of antiarch Property square, RoriTo wait to reinforce arch equivalent redius, IX, oriTo wait to reinforce arch x directions the moment of inertia；
S1=f1/ L, S2=f2/ L, L calculate across footpath, f to wait to reinforce arch1、f2Respectively antiarch and the rise for treating reinforcing arch, MZMid span moment after being reinforced for antiarch, MZoriFor arch structure mid span moment to be reinforced.
Antiarch span is the 1/4-1/2 of main span of arch degree.
It waits to reinforce the arch axis coefficient m encircleed1Value is between 2-8, the arch axis coefficient m of antiarch2Value is between 2 and 6.
It waits to reinforce the ratio of rise to span S encircleed1Scope is 3/25-1/5, and the rise of antiarch compares S with span of arch footpath to be reinforced2Scope is 0.02-0.06。
Antiarch and wait reinforce arch equivalent redius than i value between 0.5-1.0.
The sectional area value of montant is 0.75-1.0 times of antiarch sectional area.
For existing Arch Bridges Strengthening there are the problem of, inventor establish based on arch bridge mid span moment reduce antiarch structure Reinforcement means by setting antiarch below main arch ring arch rib, and is connected with montant between antiarch and arch rib, then passes through bending resistance Built-in fitting and shear amchor bolt link together the arch springing and arch rib of antiarch so that for the antiarch structure reinforced and former main arch ring Form rigid constraint support system；And the rigid constraint support system hogging bridge mid span moment reduce degree and wait reinforce arch and Antiarch 7 parameters (antiarch and wait reinforce arch equivalent redius than i, wait reinforce arch ratio of rise to span S1, wait reinforce arch arch axis system Number m1, S is compared in the rise of antiarch and span of arch footpath to be reinforced2, antiarch arch axis coefficient m2, the across footpath of antiarch and span of arch footpath to be reinforced Ratio Kr) there is close relationship, by setting different 7 parameter variable values, encircleed using waiting to reinforce with reinforcing rear arch mid span moment Ratio as moment of flexure change token state, based on finite element parametric analysis approximating method, you can 7 parameters and moment of flexure more than obtaining Change the relational expression of token state.Therefore, for the arch bridge of different designs parameter, with the application of the invention, with reference to foregoing relationships Force value in structure feature is solved, antiarch reinforcing is carried out so as to fulfill optimal case is chosen, can not only increase and treat reinforcement bridge Overall stiffness, and the internal force in crucial section can be effectively reduced, the antiarch structure of reinforcing has good mechanical characteristic.It is comprehensive On, easy construction of the present invention is with obvious effects, calculates simple, accuracy height, with wide engineering application prospect.
Description of the drawings
Fig. 1 is limited element calculation model figure and structure diagram.
Fig. 2 is mid span moment fitting bit map/bitmap.
Fig. 3 is that certain bridge is schemed before reinforcing in the example using the present invention.
Fig. 4 is that certain bridge is schemed after reinforcing in the example using the present invention.
Fig. 5 is that moment of flexure reduces the graph that percentage changes with parameter equivalent radius ratio i after being reinforced using the present invention.
Fig. 6 is that moment of flexure reduces the graph that percentage changes with parameter antiarch arch axis coefficient m2 after being reinforced using the present invention.
Fig. 7 is that moment of flexure reduces the graph that percentage changes with the ratio between parameter across footpath Kr after being reinforced using the present invention.
Fig. 8 is that moment of flexure reduces the graph that percentage changes with parameter antiarch ratio of rise to span S2 after being reinforced using the present invention.
In figure：1 arch springing, 2 antiarch reinforced, 3 former main arch rings, 4 bending resistance built-in fittings, 5 shear amchor bolts, 6 montants.
Specific embodiment
First, basic principle
The antiarch structural strengthening method reduced based on arch bridge mid span moment --- it is anti-by being set below main arch ring arch rib Arch, and is connected between antiarch and arch rib with montant, then by bending resistance built-in fitting and shear amchor bolt the arch springing and arch rib of antiarch It links together so that antiarch structure and former main arch ring for reinforcing form rigid constraint support system, so as to effective Resistance and share the moment of flexure transferred by arch rib, while the overall stiffness and intensity of arch rib can be increased, greatly reduce span centre Moment.
For this system, using the vault moment M z after reinforcing and wait to reinforce the vault moment M z encircleedoriRatio is as characterization Value is fitted, by the fitting of mass data (2700, see Fig. 1, Fig. 2), obtain characterization value mid span moment Mz to it is known related The relational expression (as follows) of parameter, so as to obtain optimal Reinforcing parameter；
In formula：
Wait reinforce arch and antiarch 7 parameters be respectively antiarch and wait reinforce arch equivalent redius than i, wait reinforce encircle meter It calculates across footpath L, wait to reinforce the ratio of rise to span S of arch1, wait reinforce arch arch axis coefficient m1, S is compared in the rise of antiarch and span of arch footpath to be reinforced2、 The arch axis coefficient m of antiarch2, the ratio K in the across footpath of antiarch and span of arch footpath to be reinforcedr；
RfFor antiarch equivalent redius, IX, fIt is used to for the x directions of antiarch Property square, RoriTo wait to reinforce arch equivalent redius, IX, oriTo wait to reinforce arch x directions the moment of inertia；
S1=f1/ L, S2=f2/ L, L calculate across footpath, f to wait to reinforce arch1、f2Respectively antiarch and the rise for treating reinforcing arch, MZMid span moment after being reinforced for antiarch, MZoriFor arch structure mid span moment to be reinforced.
According to above-mentioned relation formula, if the parameter for waiting to reinforce arch is it is known that needs can be obtained by changing antiarch parameter According to above-mentioned relation formula, if the parameter for waiting to reinforce arch is it is known that the mid span moment of needs can be obtained by changing antiarch parameter Reduce desired value.The value range for having related parameter is as follows：
Antiarch span is the 1/4-1/2 of main span of arch degree.
It waits to reinforce the arch axis coefficient m encircleed1Value is between 2-8, the arch axis coefficient m of antiarch2Value is between 2 and 6.
It waits to reinforce the ratio of rise to span S encircleed1Scope is 3/25-1/5, and the rise of antiarch compares S with span of arch footpath to be reinforced2Scope is 0.02-0.06。
Antiarch and the equivalent redius for waiting to reinforce arch are not limited to circular cross-section than i, and arbitrary section pattern all can be by above-mentioned Formula scales obtain, and value is between 0.5-1.0.
The sectional area value of montant is 0.75-1.0 times of antiarch sectional area, but montant cross section parameter to arch rib after reinforcing across The effect unobvious that middle moment of flexure reduces.
2nd, application example
The deck type steel arch bridge of certain 100m across footpath, is shown in attached drawing 3, and, material aging is more serious due to the use of the time limit for a long time, hair There is crack in existing vault, and after the increasingly increase of the volume of traffic, vault moment of flexure is excessive, and the stress for causing steel lagging jack is excessive, so need Reinforce with effectively reduce span centre arch rib position moment of flexure.Former bridge is added using the method that antiarch is reinforced using the present invention (Gu see Fig. 4) calculates the ratio of mid span moment and mid span moment before reinforcing after reinforcing.
Arch bridge to be reinforced be hingless arch bridge, across footpath L=100m, ratio of rise to span S1=1/6, arch axis coefficient m1=5, antiarch is with treating Reinforce the ratio between arch equivalent redius i values 0.5, arch axis coefficient m2=5, rise f2=5m, across footpath L2=30m.Parameter is brought into public affairs Formula：
In formula：It is 0.257 that can obtain the ratio before reinforcing thick mid span moment value and reinforcing, and moment of flexure reduces 74.3%.
Thus example can see the remarkable result that the present invention reinforces concrete-bridge, be analyzed by mass data, lead to The method based on antiarch structural strengthening concrete arch-type bridge or steel arch bridge is crossed, may be such that this type concrete arch-type bridge or steel arch bridge span centre Institute's bending moment at least reduces by 70%, brings considerable project benefit.
By constantly adjusting the parameter of antiarch, the reduction amount feelings that different schemes correspond to arch bridge mid span moment to be reinforced are obtained Condition is shown in Table 1- tables 4 and attached drawing 5- attached drawings 8：
1 main arch ring mid span moment of table reduces percentage with antiarch and waits to reinforce arch variation of the equivalent redius than i
2 main arch ring moment of flexure of table reduces variation of the percentage with antiarch arch axis coefficient m2
3 main arch ring moment of flexure of table reduces variation of the percentage with the ratio between across footpath Kr
4 main arch ring moment of flexure of table reduces variation of the percentage with S2
To sum up, mid span moment has following rule：
(1) the smaller mid span moment reduction amplitude of antiarch across footpath is bigger, but need to consider construction and take into account whole stress；
(2) rise of reinforcing antiarch is higher, and consolidation effect is better；
(3) the arch axis coefficient m2 of reinforcing antiarch is lower, and consolidation effect is better；
(4) reinforcing antiarch equivalent redius i indexs are bigger within the specific limits, and consolidation effect is better.
(5) when the arch axis coefficient for reinforcing arch is very big, if reinforced using the present invention, span centre can be effectively reduced Moment, the average amplitude of reduction reach 60%.

Claims (6)

  1. A kind of 1. antiarch structural strengthening method reduced based on arch bridge mid span moment, it is characterised in that：By in main arch ring arch rib Lower section sets antiarch, and is connected between antiarch and arch rib with montant, then by bending resistance built-in fitting and shear amchor bolt antiarch Arch springing and arch rib link together so that antiarch structure and former main arch ring for reinforcing form rigid constraint support system；And And the rigid constraint support system meets relationship below：
    <mfenced open = "" close = ""> <mtable> <mtr> <mtd> <mrow> <mo>(</mo> <mfrac> <mrow> <mi>M</mi> <mi>z</mi> </mrow> <mrow> <msub> <mi>Mz</mi> <mrow> <mi>o</mi> <mi>r</mi> <mi>i</mi> </mrow> </msub> </mrow> </mfrac> <mo>)</mo> <mo>=</mo> <mo>-</mo> <mn>1.743002</mn> <mo>+</mo> <mn>0.055791</mn> <mi>i</mi> <mo>-</mo> <mn>0.002880</mn> <msub> <mi>S</mi> <mn>1</mn> </msub> <mi>L</mi> <mo>-</mo> <mn>0.019770</mn> <msub> <mi>S</mi> <mn>2</mn> </msub> <mi>L</mi> <mo>+</mo> <mn>0.031052</mn> <msubsup> <mi>m</mi> <mn>1</mn> <mn>2</mn> </msubsup> <mo>+</mo> <mn>0.000228</mn> <msubsup> <mi>m</mi> <mn>2</mn> <mn>2</mn> </msubsup> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mo>+</mo> <mn>5.358506</mn> <mfrac> <msup> <mrow> <mo>(</mo> <msub> <mi>S</mi> <mn>1</mn> </msub> <mi>L</mi> <mo>)</mo> </mrow> <mrow> <mo>-</mo> <mn>0.989907</mn> </mrow> </msup> <msup> <mrow> <mo>(</mo> <msub> <mi>S</mi> <mn>2</mn> </msub> <mi>L</mi> <mo>)</mo> </mrow> <mn>1.235149</mn> </msup> </mfrac> <mo>+</mo> <mn>1.468786</mn> <mfrac> <msubsup> <mi>m</mi> <mn>1</mn> <mn>0.358674</mn> </msubsup> <msubsup> <mi>m</mi> <mn>2</mn> <mrow> <mo>-</mo> <mn>0.008537</mn> </mrow> </msubsup> </mfrac> <mo>+</mo> <msup> <mi>i</mi> <mrow> <mo>-</mo> <mn>0.421394</mn> </mrow> </msup> <mo>-</mo> <mn>0.155916</mn> <msub> <mi>K</mi> <mi>R</mi> </msub> <mo>+</mo> <mn>0.774566</mn> <msub> <mi>K</mi> <mi>R</mi> </msub> <mi>i</mi> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mo>+</mo> <mn>0.010992</mn> <msub> <mi>K</mi> <mi>R</mi> </msub> <msub> <mi>S</mi> <mn>1</mn> </msub> <mi>L</mi> <mo>+</mo> <mn>0.036321</mn> <msub> <mi>K</mi> <mi>R</mi> </msub> <msub> <mi>S</mi> <mn>2</mn> </msub> <mi>L</mi> <mo>-</mo> <mn>0.538441</mn> <msub> <mi>m</mi> <mn>1</mn> </msub> <mo>-</mo> <mn>0.006174</mn> <msub> <mi>K</mi> <mi>R</mi> </msub> <msub> <mi>m</mi> <mn>2</mn> </msub> </mrow> </mtd> </mtr> </mtable> </mfenced>
    In formula：
    Wait reinforce arch and antiarch 7 parameters be respectively antiarch and wait reinforce arch equivalent redius than i, wait reinforce encircle calculating across Footpath L, wait to reinforce the ratio of rise to span S of arch1, wait reinforce arch arch axis coefficient m1, S is compared in the rise of antiarch and span of arch footpath to be reinforced2, antiarch Arch axis coefficient m2, the ratio K in the across footpath of antiarch and span of arch footpath to be reinforcedr；
    RfFor antiarch equivalent redius, IX, fFor the x directions the moment of inertia of antiarch, RoriTo wait to reinforce arch equivalent redius, IX, oriTo wait to reinforce arch x directions the moment of inertia；
    S1=f1/ L, S2=f2/ L, L calculate across footpath, f to wait to reinforce arch1、f2Respectively antiarch and the rise for treating reinforcing arch, MZTo be anti- Mid span moment after arch reinforcing, MZoriFor arch structure mid span moment to be reinforced.
  2. 2. the antiarch structural strengthening method reduced based on arch bridge mid span moment according to claim, it is characterised in that：Institute State the 1/4-1/2 that antiarch span is main span of arch degree.
  3. 3. the antiarch structural strengthening method reduced based on arch bridge mid span moment according to claim, it is characterised in that：Institute State the arch axis coefficient m for waiting to reinforce arch1Value is between 2-8, the arch axis coefficient m of antiarch2Value is between 2 and 6.
  4. 4. the antiarch structural strengthening method reduced based on arch bridge mid span moment according to claim, it is characterised in that：Institute State the ratio of rise to span S for waiting to reinforce arch1Scope is 3/25-1/5, and the rise of antiarch compares S with span of arch footpath to be reinforced2Scope is 0.02- 0.06。
  5. 5. the antiarch structural strengthening method reduced based on arch bridge mid span moment according to claim, it is characterised in that：Institute It states antiarch and waits to reinforce the equivalent redius encircleed than i value between 0.5-1.0.
  6. 6. the antiarch structural strengthening method reduced based on arch bridge mid span moment according to claim, it is characterised in that：Institute The sectional area value for stating montant is 0.75-1.0 times of antiarch sectional area.
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CN108446438B (en) * 2018-02-09 2022-05-27 广西交通科学研究院有限公司 Method for determining optimal cable force of rigid frame-arch combined bridge and quickly realizing optimal cable force

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CN104074139A (en) * 2014-06-18 2014-10-01 广西交通科学研究院 Method for adjusting weight of fillers on masonry arch bridge in partitioning manner
CN103557978B (en) * 2013-11-15 2015-08-19 广西交通科学研究院 Arched bridge pre-stressed boom short steeve Suo Li method for accurate testing
CN105507127A (en) * 2016-01-13 2016-04-20 广西大学 Arch rib face internal multi-point restrained and distributed tied-arch bridge

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Publication number Priority date Publication date Assignee Title
JP3867149B2 (en) * 2005-06-13 2007-01-10 国立大学法人東京工業大学 Steel slab structure of bridge and steel slab reinforcement method
CN202559224U (en) * 2012-04-12 2012-11-28 广西交通科学研究院 Masonry arch bridge using lightweight concrete as arch upper packing
CN203129026U (en) * 2013-01-23 2013-08-14 陈增顺 Reinforced concrete arch bridge reinforced structure
CN103557978B (en) * 2013-11-15 2015-08-19 广西交通科学研究院 Arched bridge pre-stressed boom short steeve Suo Li method for accurate testing
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