The prestressing without bondn of box beam and steel plate and concrete composite Design Method of Reinforcing
Technical field
The invention belongs to Technology Bridge Strengthening field, especially relate to the prestressing without bondn of a kind of box beam and steel plate-mixed
Design Method of Reinforcing closes in solidifying local soil type.
Background technology
According to investigation display in 2007, China had bridge more than 570,000 seat, wherein unsafe bridge more than 98600 seat, accounts for about 17%, and
And also have every year a large amount of highway bridge owing to design grade is relatively low, the volume of traffic constantly increases or is affected by various factors and occurs in that
Various diseases are damaged with disaster, cause bearing capacity to decline, it is impossible to meet the needs of transportation.These bridge structures are carried out
Maintenance and reinforcing are extremely the most urgent, and therefore, bridge maintaining, reinforcing and renovation technique research have become the important of bridge development in science and technology
Direction.At present, the main employing method such as affixing steel plate and affixing carbon fabric reinforced by bridge superstructure, during reinforcement application
The above two method raising DeGrain to load carrying capacity of bridge and rigidity, viscose properties and quality are to consolidation effect and knot
The impact of structure durability is relatively big, and affixing steel plate structure is the most peeling-off under dynamic loading comes to nothing, and anti-fatigue performance is the most very
Preferable.
It addition, when the spaning middle section lower edge of bridge superstructure does not allows occur that tension or institute's tension stress transfinite,
Generally requiring and carry out prestressed reinforcement, common prestressed reinforcement measure is externally pre-stressed concrete method for strengthening, this reinforcing side
The work progress of method is as follows: first at beam sides or bottom surface implantation belt rib reinforcement, then assembling reinforcement net in bar planting, and location is pre-afterwards
Stress reinforcing bar, and casting concrete (or laying anchor block and steering block), treat that institute's casting concrete reaches design strength post-stretching
Presstressed reinforcing steel, the arrangement form of presstressed reinforcing steel is linear type or fold-line-shaped.Though above-mentioned externally pre-stressed concrete method for strengthening can
Play the effect of prestressed reinforcement to a certain extent, but have the following disadvantages: the first, one need to increased newly at the bottom of beam side or beam
Layer thickness is about the concrete of 20cm~50cm, and bridge deadweight increase degree is relatively big, and outward appearance is irregular, affects attractive in appearance;The second,
Presstressed reinforcing steel is exposed in atmosphere, need to periodically take measures to prevent presstressed reinforcing steel corrosion, and maintenance difficulty, late maintaining is costly;
3rd, the power performance of newly-increased presstressed reinforcing steel is poor, need to install damping device to reduce the resonance effect of presstressed reinforcing steel and structure;
4th, according to structure stress and construction features, presstressed reinforcing steel need to be bent up anchoring, bend up location and realize mainly by steering block, turn
At block and anchor block, stress is more concentrated;Steering block once loosens or sliding, will produce great loss of prestress the most pre-
Stress failures;5th, very limited to the stiffness contribution of original structure.To sum up, the existence of existing box girder pre-stressed reinforcement means adds
Fixing structure outward appearance is irregular, presstressed reinforcing steel is difficult in maintenance, costly, newly-increased poor, the easy inefficacy of presstressed reinforcing steel power performance etc. asks
Topic.
Along with the development of material science, novel, practical strengthening reconstruction technology constantly occurs, but also fails to adapt to traffic base
Infrastructure supports the urgent needs of Manifold technology progress.In recent years, steel plate and concrete composite reinforcement means gradually comes into one's own, this group
Close reinforcement means and use the advantage of steel plate and concrete bi-material, comprehensive steel plate and concrete bi-material, and will answer in advance
Power is reinforced after being combined with steel plate and concrete composite reinforcement means, can be effectively improved bridge capacity and the rigidity of structure.But use pre-
Stress is reinforced when reinforcing bridge with steel plate and concrete composite reinforcement means, and the structure design of composite reinforcement structure is to closing
Important, ruggedized construction design the most rationally directly affects bridge strengthening cost and consolidation effect, and not only input cost is high, economy
Difference, and cause reinforcing that axle casing stress is unreasonable, poor mechanical property.
Summary of the invention
The technical problem to be solved is for above-mentioned deficiency of the prior art, it is provided that the nothing of a kind of box beam
Binding prestress and steel plate and concrete composite Design Method of Reinforcing, its method step is simple, reasonable in design and realizes convenience, make
With effective, energy is easy, quickly determine the structural parameters of bridge composite reinforcement structure, designed bridge composite reinforcement structure economics
Practicality and consolidation effect are good.
For solving above-mentioned technical problem, the technical solution used in the present invention is: the prestressing without bondn of a kind of box beam and steel
Plate-Combined concrete Design Method of Reinforcing, it is characterised in that: the method comprises the following steps:
Step one, composite reinforcement structure determines: add the prestressing without bondn of reinforced box beam with steel plate and concrete composite
Gu structure is determined;Reinforced box beam is prestressed concrete beam;
What described prestressing without bondn and steel plate and concrete composite reinforcing construction included being laid in reinforced box beam needs reinforcing
End steel plate below district, two be laid in the described longitudinal side steel plate needing the left and right sides, stabilization zone respectively and two be laid in respectively
The described plug at end part steel plate needing rear and front end, stabilization zone, steel plate of the described end and two described longitudinal side steel plates all in vertical bridge to cloth
If, steel plate of the described end and longitudinal side steel plate be flat plate and the longitudinal length of the two all with the described length phase needing stabilization zone
With;Two described plug at end part steel plates are all laid in direction across bridge;Reinforced box beam be level lay and it include one in level
The top board laid, a base plate being positioned at immediately below described top board and lay in level and two, left and right be connected to described top board with
Web between described base plate, two described webs are symmetrically laid;Steel plate of the described end is that level is laid, two described longitudinal sides
Steel plate is laid in the bottom outside of two described webs respectively, each described longitudinal side steel plate all with its web laid in flat
Row is laid, and two described longitudinal side steel plate symmetries are laid in above the steel plate left and right sides, the end, and two described plug at end part steel plates are even
It is connected to before and after two described longitudinal side steel plates between two ends, described in steel plate of the described end, two described longitudinal side steel plates and two
The steel jacket box of one web bottom being sleeved on reinforced box beam from the bottom to top of plug at end part steel plate composition, the horizontal stroke of described steel jacket box
Cross section is isosceles trapezoid, is provided with many no-cohesive prestressed reinforcements, and has poured mixed in described steel jacket box in described steel jacket box
Xtah Crude Clay structure;Described xoncrete structure be divided into be positioned at the lower concrete structure below described base plate and two lay respectively at two
The sidepiece xoncrete structure of described web outside, two described symmetrical layings of sidepiece xoncrete structure and the thickness of the two
All identical with the thickness of described lower concrete structure, the thickness of steel plate of the described end and two described longitudinal side steel plates the most identical and
The material of three is the most identical;Many described no-cohesive prestressed reinforcements are all laid in same level and it is respectively positioned on the described end
The middle inside of portion's xoncrete structure, the diameter of many described no-cohesive prestressed reinforcements and identical length are same and it is uniform cloth
If;
Box-beam structure parameter determination before step 2, reinforcing: the structural parameters of reinforced box beam are determined;
Determined by the structural parameters of reinforced box beam include set longitudinal prestressing steel in the base plate of reinforced box beam
The area of section A of musclep, the area of section A of set longitudinal compressive reinforcement in reinforced box beamsy', the resistance to compression of longitudinal compressive reinforcement
Strength failure criterion fsy', the area of section A of set longitudinal tensile reinforcing bar in reinforced box beamsy, the tension of longitudinal tensile reinforcing bar
Strength failure criterion fsy, in reinforced box beam compressive region longitudinal reinforcement Resultant force to distance a at pressurized edge, cross sections', reinforced case
In beam, the Resultant force of tensile region longitudinal direction nonprestressed reinforcement and longitudinal prestressing reinforcing bar is to distance a at tension edge, cross section0, described
The width b of top boardf', the thickness h of described top boardf', tensile region is indulged in the thickness sum b ' of two described webs, reinforced box beam
Distance h to the Resultant force of nonprestressed reinforcement and longitudinal prestressing reinforcing bar to pressurized edge, cross section0Beam with reinforced box beam
High h1, h1By the beam body height of reinforcing box beam and its be from described top board end face to the vertical distance of described base plate bottom surface, wherein
Ap、Asy' and AsyUnit be mm2, fsy' and fsyUnit be MPa, as′、a0、bf′、hf′、b′、h0And h1Unit equal
For mm;h0+a0=h1;
Described longitudinal compressive reinforcement is positioned at described top board, and described longitudinal tensile reinforcing bar is positioned at described base plate, described vertical
It is nonprestressed reinforcement to compressive reinforcement and longitudinal tensile reinforcing bar, and the neutral axis of reinforced box beam is positioned under described top board
Side;
Step 3, composite reinforcement structural texture parameter determination: join according to the structure of the reinforced box beam determined in step 2
Number, uses the data handling equipment structure to prestressing without bondn described in step one Yu steel plate and concrete composite reinforcing construction
Parameter is determined;
Determined by the structural parameters of described prestressing without bondn and steel plate and concrete composite reinforcing construction include tsp、
hspw、thnAnd b, wherein tspFor end steel plate or the thickness of longitudinal side steel plate, hspwFor the width of longitudinal side steel plate, thnFor the described end
Portion's xoncrete structure or the thickness of described sidepiece xoncrete structure, b is the width of end steel plate;
The structural parameters of prestressing without bondn described in step one with steel plate and concrete composite reinforcing construction are determined
Time, process is as follows:
Step 301, parameter initialization: use the parameter input unit connected with described data handling equipment, input step
The structural parameters of the reinforced box beam determined in two, and to tsp、b、hspwAnd thnInitial value be set respectively;Wherein, tsp
=tspmAnd tspm=5mm~7mm, thn=thnmAnd thnm=70mm~90mm;B=b '+2tsp+2thn(1);Wherein c0=0.15~0.4, A are the angle between described web and horizontal plane and A≤90 °, and h is
The height of beam body and h=h after reinforcing1+thn+tsp(3), vertical height h of longitudinal side steel platespv=c0×h;Described reinforcing
Rear beam body by the described prestressing without bondn of employing and steel plate and concrete composite reinforcing construction to after reinforcing box beam reinforces
Beam body;
Step 302, strengthening steel slab theoretical maximum THICKNESS CALCULATION: described data handling equipment is according to formula tspmax=min
(tsp1,tsp2,tsp3) (4), calculate strengthening steel slab theoretical maximum thickness tspmax;
In formula (4),
In formula (4-1), formula (4-2) and (4-3), α1For the compressive region concrete rectangular stress of beam body after described reinforcing
The stress value of figure and the ratio of concrete axial compressive strength design load, fcBy the concrete axial compressive strength of reinforcing box beam
Design load and its unit be MPa, β be after described reinforcing the compressive region concrete rectangular stress diagram depth of compressive zone of beam body with neutral
The ratio of axle height and β=0.8;EsyBy in reinforcing box beam elastic modelling quantity and its unit of set longitudinal tensile reinforcing bar be
MPa;EpyBy in reinforcing box beam elastic modelling quantity and its unit of set longitudinal prestressing reinforcing bar be MPa;EspFor end steel plate or
Elastic modelling quantity and its unit of longitudinal side steel plate are MPa;ApyBy the cross section of longitudinal prestressing reinforcing bar set by reinforcing box beam
Long-pending and its unit is mm2;
In formula (4-1),Wherein εcuBy reinforcing box beam compressive region mix
Solidifying soil compressive ultimate strain, σp0By the reinforcing bar Resultant force concrete normal stress of set longitudinal prestressing reinforcing bar in reinforcing box beam
Stress of prestressed steel value and its unit during equal to zero are MPa;fpyFor longitudinal prestressing reinforcing bar tensile strength design load and
Its unit is MPa;
To εsp1When calculating, first according to formulaCalculate εsp10;Again
Judge εsp10Whether it is more thanWhenTime,Otherwise, εsp1=εsp10;WhereinOr h'=
h;εspyFor end steel plate or the yield strain of longitudinal side steel plate;εi1The hysteretic strain of steel plate at the bottom of when affecting for consideration secondary loading;
fspyIt is MPa for end steel plate or the steel plate tensile strength design load of longitudinal side steel plate and its unit;
To εspw1When calculating, first according to formulaMeter
Calculation draws εspw10;Judge ε againspw10Whether it is more thanWhenTime,Otherwise, εspw1=εspw10;
Wherein εi2The hysteretic strain of longitudinal direction side steel plate when affecting for consideration secondary loading;
In formula (4-2),
To εs1When calculating, first according to formulaCalculate εs10;
Judge ε agains10Whether it is more thanWhenTime,Otherwise,
εs1=εs10;
To εs2When calculating, it is judged that εs10Whether it is more thanWhenTime,Otherwise, εs2=
εs10;
To εspw2When calculating, first according to formula Meter
Calculation draws εspw20;Judge ε againspw20Whether it is more thanWhenTime,Otherwise, εspw2=εspw20;
In formula (4-3),
To εs3When calculating, first according to formula Calculate εs30;Judge ε agains30Whether it is more thanWhenTime,Otherwise, εs3=εs30;
To εs4When calculating, it is judged that εs30Whether it is more thanWhenTime,Otherwise, εs4=
εs30;
To εsp2When calculating, first according to formula
Calculate εsp20;Judge ε againsp20Whether it is more thanWhenTime,Otherwise, εsp2=εsp20;
Step 303, strengthening steel slab thickness determine with concrete thickness: use described data handling equipment to tspAnd thnPoint
Not being determined, process is as follows:
Step 3031, overreinforced judge: judge the strengthening steel slab theoretical maximum thickness t calculated in step 302spmaxWhether
Less than tspm: work as tspmax< tspmTime, it is judged that it is in overreinforced state for beam body after the most described reinforcing, and enters step 3032;No
Then, t is worked asspmax≥tspmTime, it is judged that it is in non-overreinforced state for beam body after the most described reinforcing, and enters step 3033;
Step 3032, parameter increase adjustment, comprise the following steps:
Judgement that the increase of step 30321, concrete thickness adjusts and concrete thickness transfinites: by thnIncrease Δ thn, and to increasing
T after greathnCarry out concrete thickness to transfinite judgement: the t after increasinghn> thnMTime, it is judged that transfinite for concrete thickness, will increase
T after greathnReducing △thn, and enter step 30322;Otherwise, the t after increasinghn≤thnMTime, it is judged that for concrete thickness not
Transfinite, and enter step 30323;
Wherein, Δ thn=15mm~25mm;thnMFor described lower concrete structure set in advance or described sidepiece coagulation
The maximum gauge of soil structure;
Step 30322, strengthening steel slab thickness increase adjustment: by tspIncrease Δ tsp, and enter step 30323;Wherein, Δ
tsp=1mm~3mm;
Step 30323, strengthening steel slab theoretical maximum THICKNESS CALCULATION and overreinforced judge: according to the method described in step 302,
Calculate now strengthening steel slab theoretical maximum thickness tspmax, and judge tspmaxWhether less than tspm: work as tspmax< tspmTime, sentence
Break and be in overreinforced state for beam body after the most described reinforcing, return step 30321;Otherwise, t is worked asspmax≥tspmTime, it is judged that for this
After Shi Suoshu reinforces, beam body is in non-overreinforced state, and enters step 3033;
Step 3033, anti-bending bearing capacity are verified: call anti-bending bearing capacity computing module and process according to data described in formula
Equipment is according to formula
To the anti-bending bearing capacity M of beam body after the most described reinforcinguCarry out
Calculate, and the M that will calculateuWith Mu' carry out difference comparsion: work as Mu< MuIn ' time, return step 3032;Otherwise, M is worked asu≥Mu′
Time, complete concrete thickness and strengthening steel slab thickness determines process and exports thnAnd tsp, enter back into step 304;
In formula (5), x is the concrete compression district height of beam body after described reinforcing;ApyVertical by being reinforced set by box beam
To the cross-sectional area of deformed bar, AspCross-sectional area and A for end steel platesp=b tsp, AspwTransversal for longitudinal side steel plate
Area and Aspw=tsp·hspw;σpkFor the stress value of predetermined no-cohesive prestressed reinforcement, ApkIn advance should for described soap-free emulsion polymeization
Power is the area of section of set no-cohesive prestressed reinforcement with in steel plate and concrete composite reinforcing construction;A is that described soap-free emulsion polymeization is pre-
Stress is the center of gravity of set no-cohesive prestressed reinforcement and tension in reinforced box beam with in steel plate and concrete composite reinforcing construction
Distance between district's longitudinal direction nonprestressed reinforcement and the Resultant force of longitudinal prestressing reinforcing bar and
Wherein, σpkUnit be MPa, the unit of b, x and a is mm, Asp、AspwAnd ApkUnit be mm2;
Step 304, longitudinal side steel plate height determine with end steel plate width: the t of output in integrating step 303spAnd thn, institute
State data handling equipment calculate the width b of end steel plate according to formula (1) and export b;Meanwhile, described data handling equipment is first
Calculate the height h of beam body after described reinforcing according to formula (3), calculate the height of longitudinal side steel plate further according to formula (2)
Degree hspwAnd export hspw。
The prestressing without bondn of above-mentioned box beam and steel plate and concrete composite Design Method of Reinforcing, is characterized in that: step 302
In to described α1When being determined, when the strength grade of concrete of reinforced box beam is less than C50, α1=1;When being reinforced
When the strength grade of concrete of box beam is C80, α1=0.94;When the strength grade of concrete of reinforced box beam be C50~C80 it
Between other grade time, α1It is determined by linear interpolation.
The prestressing without bondn of above-mentioned box beam and steel plate and concrete composite Design Method of Reinforcing, is characterized in that: step 3033
In carry out anti-bending bearing capacity checking before, first to set in described prestressing without bondn and steel plate and concrete composite reinforcing construction
Quantity n putting no-cohesive prestressed reinforcement is determined;
When quantity n of no-cohesive prestressed reinforcement is determined, according to formula Calculate
Quantity n of adhesive prestressed steel bar;
In formula (5),Expression rounds up, σpControl stress for prestressing for predetermined no-cohesive prestressed reinforcement
Value, y is that the neutral axis of beam body and described prestressing without bondn are set with in steel plate and concrete composite reinforcing construction after described reinforcing
Put the distance between the center of gravity of no-cohesive prestressed reinforcement, apFor single described no-cohesive prestressed reinforcement area of section andWherein d0Diameter and its unit for no-cohesive prestressed reinforcement are mm;M by the beam body of reinforcing box beam cut
The moment of flexure and M=kql that face increases and increase because conducting oneself with dignity2, wherein k by the bending moment coefficients of reinforcing box beam, q by reinforcing box beam
Beam body cross section is because increasing the line load that described prestressing without bondn produces with steel plate and concrete composite reinforcing construction, and l is by being reinforced
The calculating of box beam is across footpath.
The prestressing without bondn of above-mentioned box beam and steel plate and concrete composite Design Method of Reinforcing, is characterized in that: step 3033
In carry out anti-bending bearing capacity checking before, first to set in described prestressing without bondn and steel plate and concrete composite reinforcing construction
Quantity n putting no-cohesive prestressed reinforcement is determined;
When being determined quantity n of no-cohesive prestressed reinforcement, process is as follows:
Step 3033-1, parameter initialization: use described parameter input unit that the initial value of n is set, and n=2;
Step 3033-2, section turn moment are verified: according to formula M=kql2To the beam body cross section of reinforced box beam because of from
The moment M heavily increased and increase calculates, and M Yu the n σ that will calculatep·apY carries out difference comparsion: work as n
σp·apDuring y >=M, complete no-cohesive prestressed reinforcement quantity and determine process and export n;Otherwise, as n σp·apY < M
Time, enter step 3033-3;
Wherein k by the bending moment coefficients of reinforcing box beam, q by the beam body cross section of reinforcing box beam pre-because increasing described soap-free emulsion polymeization
The line load that stress and steel plate and concrete composite reinforcing construction produce, l by the calculating of reinforcing box beam across footpath;
Step 3033-3, deformed bar quantity increase adjustment: add 1 by quantity n of now no-cohesive prestressed reinforcement;
Step 3033-4, section turn moment are verified: after in step 3033-3, deformed bar quantity increases adjustment, according to formula
M=kql2The moment M increased the beam body cross section of reinforced box beam because deadweight increases calculates, and will calculate
M Yu n σp·apY carries out difference comparsion: as n σp·apDuring y >=M, complete no-cohesive prestressed reinforcement quantity and determine
Process also exports n;Otherwise, as n σp·apDuring y < M, return step 3033-3.
The prestressing without bondn of above-mentioned box beam and steel plate and concrete composite Design Method of Reinforcing, is characterized in that: step 304
The middle width h according to formula (2) to longitudinal side steel platespwWhen calculating, calculate
To h in step 304spwBefore output, also need the height calling longitudinal side steel plate width adjusting module to longitudinal side steel plate
Degree hspwBeing optimized adjustment, process is as follows:
Step 3041, longitudinal side steel plate width reduce adjustment: by hspwReduce Δ hspw;Wherein, Δ hspw=45mm~
55mm;
Step 3042, longitudinal side steel plate width threshold decision: after in step 3041, longitudinal side steel plate width reduces adjustment, right
hspwSize judge: whenOr hspwDuring sinA < 350mm, by hspwIncrease Δ hspw, complete to indulge
To side steel plate height adjustment process and export hspw;Otherwise, step 3043 is entered;
Step 3043, anti-bending bearing capacity are verified: call described anti-bending bearing capacity computing module, and according to formula (5) to step
The anti-bending bearing capacity M of beam body after described reinforcing after longitudinal side steel plate width reduces adjustment in rapid 3041uCalculate, and will calculate
The M drawnuWith Mu' carry out difference comparsion: work as Mu≥MuIn ' time, return step 3041;Otherwise, M is worked asu< MuIn ' time, by hspwIncrease Δ
hspw, complete longitudinal side steel plate width and adjust process and export hspw。
The prestressing without bondn of above-mentioned box beam and steel plate and concrete composite Design Method of Reinforcing, is characterized in that: step
When carrying out concrete thickness increase adjustment in 30321, described data handling equipment is called numerical value increase adjusting module and is made thn=thn
+Δthn;
When carrying out the increase adjustment of strengthening steel slab thickness in step 30322, described data handling equipment is called described numerical value and is increased
Big adjusting module makes tsp=tsp+Δtsp;
When carrying out the steel plate width reduction adjustment of longitudinal side in step 3041, described data handling equipment is called described numerical value and is subtracted
Little adjusting module makes hspw=hspw-Δhspw;
By h in step 3042 and step 3043spwIncrease Δ hspwTime, described data handling equipment is all called described numerical value and is increased
Big adjusting module makes hspw=hspw+Δhspw。
The prestressing without bondn of above-mentioned box beam and steel plate and concrete composite Design Method of Reinforcing, is characterized in that: step 3033
Middle according to formula (5) to the anti-bending bearing capacity M of beam body after the most described reinforcinguBefore calculating, first according to true in step 2
The structural parameters of fixed reinforced box beam and now n, tsp、b、hspwAnd thnNumerical value, to beam body after the most described reinforcing
The position of neutral axis is determined, and according to the position of the neutral axis of beam body after described reinforcing to beam body after the most described reinforcing
Concrete compression district height x is determined.
The prestressing without bondn of above-mentioned box beam and steel plate and concrete composite Design Method of Reinforcing, is characterized in that: step 301
Described in tspm=6mm, thnm=80mm.
The prestressing without bondn of above-mentioned box beam and steel plate and concrete composite Design Method of Reinforcing, is characterized in that: in step 2
In reinforced box beam, set longitudinal compressive reinforcement is respectively positioned in same level and as' it is longitudinal compressive reinforcement and described top board
Vertical distance between end face, in reinforced box beam, set longitudinal tensile reinforcing bar is respectively positioned in same level;Described longitudinal direction
Compressive reinforcement and longitudinal tensile reinforcing bar lay respectively at the upper and lower both sides of neutral axis of reinforced box beam;
The quantity of described longitudinal compressive reinforcement is n1Road and its be respectively positioned in described top board, n1Longitudinal compressive reinforcement described in road
It is respectively positioned in same level;Asy' for n1The cross-sectional area sum of longitudinal compressive reinforcement described in road;Wherein, n1For positive integer;
The quantity of described longitudinal tensile reinforcing bar is n2Road and its be respectively positioned in described base plate, n2Longitudinal tensile reinforcing bar described in road
It is respectively positioned in same level;AsyFor n2The cross-sectional area sum of longitudinal tensile reinforcing bar (6-2) described in road;Wherein, n2For just
Integer.
The quantity of described longitudinal prestressing reinforcing bar is n3Road and its be respectively positioned in described base plate, n3Longitudinal prestressing described in road
Reinforcing bar is respectively positioned in same level and it is respectively positioned on n2Above longitudinal tensile reinforcing bar described in road;ApFor n3The most in advance should described in road
The cross-sectional area sum of power reinforcing bar;Wherein, n3For positive integer.
The prestressing without bondn of above-mentioned box beam and steel plate and concrete composite Design Method of Reinforcing, is characterized in that: step 301
Described in c0=0.25.
The present invention compared with prior art has the advantage that
1, method step is simple, reasonable in design and realizes conveniently, and input cost is relatively low.
2, data processing speed is fast and automaticity is high, and employing data handling equipment can be in ten a few minutes, even somewhat
The structural parameters of prestressing without bondn and steel plate and concrete composite reinforcing construction are calculated, including t in clocksp、hspw、thnWith
b。
3, each determination method for parameter simple, reasonable in design and determined by parameter value reasonable, and parameter determination process
Combining with bearing capacity checking, the structural parameters of determined composite reinforcement structure anti-bending bearing capacity of beam body after ensureing to reinforce is full
While foot design requirement, after can ensure that reinforcing, the failure mode of beam body is for fitting muscle state, does not haves the possibility of overreinforced.
Use and present invention determine that the structural parameters that composite reinforcement constructs can effectively solve end steel plate and the profit of longitudinal side steel plate
With coefficient problem, being generally easily guaranteed that the usage factor of end steel plate is 1, the usage factor of side steel plate differs and is set to 1, i.e.
Side steel plate is not efficiently used, then the damage-form of this reinforcing construction is that overreinforced destroys, although anti-bending bearing capacity also can meet
Use requirement.During for ensureing above-mentioned satisfied reinforcing demand anti-bending bearing capacity, the usage factor of end steel plate and side steel plate is 1,
After i.e. reinforcing, the damage-form of beam body destroys for suitable muscle, needs the concrete strengthening selected by the used reinforcing construction of the present invention thick
Degree, reinforcing height (i.e. side steel plate height), strengthening steel slab theoretical maximum thickness tspmaxIt is defined respectively etc. parameter.Use this
The bright Reinforcing parameter that carries out is when determining, the concrete thickness t finally determinedhnAt thnm~thnMBetween, the strengthening steel slab finally determined
Thickness tspAt tspm~tspmaxBetween.
4, use the mode being gradually increased by initial minimum that strengthening steel slab thickness is determined with concrete thickness, institute
The strengthening steel slab thickness determined and concrete thickness are optimum, can meet economy, cost-effective requirement, and to mixed
Solidifying soil thickness sets maximum thnM, purpose that after reaching to prevent the reinforcing brought because of concrete thickness increase, beam body deadweight increases;
Further, by strengthening steel slab thickness tspAt tspm~tspmaxBetween, while meeting economy, cost-effective requirement, can ensure that
After reinforcing, the failure mode of beam body destroys for suitable muscle.
5, consolidation effect is good, uses steel plate-concrete to combine with no-cohesive prestressed reinforcement and reinforces, steel plate-mixed
Solidifying soil has increased considerably structural-load-carrying capacity and the rigidity of structure, is effectively improved reinforcing efficiency;Reduce structure simultaneously
Reinforce thickness, alleviate reinforcing construction weight.The antiseptic property of unbonded prestressing tendon is good, it is therefore prevented that because of presstressed reinforcing steel and coagulation
The additional stress that soil structure deformation causes, safe and reliable, loss of prestress is less;And newly-increased presstressed reinforcing steel is positioned at newly
Inside reinforced concrete, there is not vibration damping and only shake problem, it is not necessary to damping device is installed.Reinforcing construction and the combination of reinforced box beam
Site area is relatively big, and bar planting is uniform, stress relative distribution, eliminates the problem that at steering block and anchor block, stress is concentrated, greatly
Reduce the risk that loss of prestress was even lost efficacy.Casting concrete knot is also served as during the steel jacket box construction that reinforcing body is formed by steel plate
The template of structure, saves form removal operation, and easy construction is quick.The reinforcing construction of institute's construction molding have outside neat, good endurance,
The advantages such as stability height, good economy performance and easy construction, can effectively play resistance to compression and steel plate, the unbonded prestressing tendon of concrete
The strong feature of pull resistance, and can effectively solve the reinforcing construction outward appearance that existing box girder pre-stressed reinforcement means exists irregular,
Presstressed reinforcing steel is difficult in maintenance, costly, the problem such as newly-increased poor, the easy inefficacy of presstressed reinforcing steel power performance.To sum up, the present invention is adopted
Reinforcing construction can significantly improve bearing capacity and the rigidity of structure of bridge, the performance of material new, old can be made full use of, and
Newly, the connecting structure that it is necessary between old concrete and steel plate and novel concrete, stress performance is reliable, and after reinforcing, beam body has
The advantages such as bearing capacity is high, rigidity big, good endurance, less, the quick construction of deadweight increase.Right according to design reinforcement of the present invention structure
After reinforced box beam has been reinforced, can be to ensureing that after reinforcing, the bearing capacity and stiffness of compound section is improved, answering of original structure
Power state obtains a certain degree of improvement, and damage-form destroys for suitable muscle.
6, widely applicable and popularizing application prospect is extensive, it is adaptable to the box beam that all neutral axis pass in web without viscous
Knot prestressing force and steel plate and concrete composite Design of Reinforcement process.
In sum, the inventive method step is simple, reasonable in design and realization is convenient, using effect is good, can be easy, quickly
Determining the structural parameters of bridge composite reinforcement structure, designed bridge composite reinforcement structure economics is practical and consolidation effect is good.
Below by drawings and Examples, technical scheme is described in further detail.
Accompanying drawing explanation
Fig. 1 is the method flow block diagram of the present invention.
Fig. 2 is the structural representation of beam body after the present invention reinforces.
Description of reference numerals:
1 end steel plate;2 longitudinal side steel plates;3 longitudinal prestressing reinforcing bars;
4 no-cohesive prestressed reinforcements;5 xoncrete structures;6 reinforced box beams;
6-1 longitudinal direction compressive reinforcement;6-2 longitudinal tensile reinforcing bar.
Detailed description of the invention
The prestressing without bondn of a kind of box beam as shown in Figure 1 and steel plate and concrete composite Design Method of Reinforcing, including with
Lower step:
Step one, composite reinforcement structure determines: prestressing without bondn and the steel plate and concrete composite to reinforced box beam 6
Reinforcing construction is determined;Reinforced box beam 6 is prestressed concrete beam;
As in figure 2 it is shown, described prestressing without bondn and steel plate and concrete composite reinforcing construction include being laid in reinforced case
The end steel plate 1, two below stabilization zone that needs of beam 6 is laid in described longitudinal side steel plate 2 and needing the left and right sides, stabilization zone respectively
Two are laid in the described plug at end part steel plate needing rear and front end, stabilization zone, steel plate of the described end 1 and two described longitudinal sides respectively
Steel plate 2 all in vertical bridge to laying, steel plate of the described end 1 and longitudinal side steel plate 2 be flat plate and the longitudinal length of the two all with
The described length needing stabilization zone is identical;Two described plug at end part steel plates are all laid in direction across bridge;Reinforced box beam 6 is in horizontal cloth
And if it includes a top board laid in level, a base plate being positioned at immediately below described top board and lay and left and right in level
Two webs being connected between described top board and described base plate, two described webs are symmetrically laid;Steel plate 1 is in water at the described end
Plain cloth sets, and two described longitudinal side steel plates 2 are laid in the bottom outside of two described webs, each described longitudinal side steel plate respectively
2 webs all laid with it are parallel laying, and two described longitudinal side steel plate 2 symmetries are laid on end steel plate 1 left and right sides
Side, two described plug at end part steel plates are connected to before and after two described longitudinal side steel plates 2 between two ends, steel plate of the described end 1, two
Individual described longitudinal side steel plate 2 and two described plug at end part steel plate one abdomens being sleeved on reinforced box beam 6 from the bottom to top of composition
The steel jacket box of plate bottom, the cross section of described steel jacket box is isosceles trapezoid, is provided with many soap-free emulsion polymeization and in advance should in described steel jacket box
Xoncrete structure 5 has been poured in power reinforcing bar 4, and described steel jacket box;Described xoncrete structure 5 is divided into and being positioned at below described base plate
Lower concrete structure and two sidepiece xoncrete structures laying respectively at two described web outside, two described sidepiece coagulations
The symmetrical laying of soil structure and the thickness of the two are all identical with the thickness of described lower concrete structure, steel plate of the described end 1
The most identical and three the material of thickness of longitudinal side described with two steel plate 2 is the most identical;Many described no-cohesive prestressed reinforcements 4
All being laid in same level and it is respectively positioned on the middle inside of described lower concrete structure, many described soap-free emulsion polymeization in advance should
The diameter of power reinforcing bar 4 and identical length are together and it is in uniformly laying;
Box-beam structure parameter determination before step 2, reinforcing: the structural parameters of reinforced box beam 6 are determined;
In conjunction with Fig. 2, determined by the structural parameters of reinforced box beam 6 include the base plate of reinforced box beam 6 in set vertical
To the area of section A of deformed bar 3p, the area of section A of set longitudinal compressive reinforcement 6-1 in reinforced box beam 6sy', vertical
To comprcssive strength design load f of compressive reinforcement 6-1sy', the area of section of set longitudinal tensile reinforcing bar 6-2 in reinforced box beam 6
Asy, tensile strength design load f of longitudinal tensile reinforcing bar 6-2sy, in reinforced box beam 6 compressive region longitudinal reinforcement Resultant force to cross section
Distance a at pressurized edges', tensile region longitudinal direction nonprestressed reinforcement and longitudinal prestressing reinforcing bar 3 makes a concerted effort in reinforced box beam 6
Put distance a to tension edge, cross section0, the width b of described top boardf', the thickness h of described top boardf', the thickness of two described webs
In degree sum b ', reinforced box beam 6, tensile region longitudinal direction nonprestressed reinforcement is subject to cross section with the Resultant force of longitudinal prestressing reinforcing bar 3
Distance h of flanging edge0Deck-molding h with reinforced box beam 61, h1By the beam body height of reinforcing box beam 6 and its be from described top board
The vertical distance of end face extremely described base plate bottom surface, wherein Ap、Asy' and AsyUnit be mm2, fsy' and fsyUnit be
MPa, as′、a0、bf′、hf′、b′、h0And h1Unit be mm;h0+a0=h1;
Described longitudinal compressive reinforcement 6-1 is positioned at described top board, and described longitudinal tensile reinforcing bar 6-2 is positioned at described base plate,
Described longitudinal compressive reinforcement 6-1 and longitudinal tensile reinforcing bar 6-2 is nonprestressed reinforcement, and the neutral axis position of reinforced box beam 6
Below described top board;
Step 3, composite reinforcement structural texture parameter determination: join according to the structure of the reinforced box beam 6 determined in step 2
Number, uses the data handling equipment structure to prestressing without bondn described in step one Yu steel plate and concrete composite reinforcing construction
Parameter is determined;
Determined by the structural parameters of described prestressing without bondn and steel plate and concrete composite reinforcing construction include tsp、
hspw、thnAnd b, wherein tspFor end steel plate 1 or the thickness of longitudinal side steel plate 2, hspwFor the width of longitudinal side steel plate 2, thnFor described
Lower concrete structure or the thickness of described sidepiece xoncrete structure, b is the width of end steel plate 1;
The structural parameters of prestressing without bondn described in step one with steel plate and concrete composite reinforcing construction are determined
Time, process is as follows:
Step 301, parameter initialization: use the parameter input unit connected with described data handling equipment, input step
The structural parameters of the reinforced box beam 6 determined in two, and to tsp、b、hspwAnd thnInitial value be set respectively;Wherein, tsp
=tspmAnd tspm=5mm~7mm, thn=thnmAnd thnm=70mm~90mm;B=b '+2tsp+2thn(1);Wherein c0=0.15~0.4, A are the angle between described web and horizontal plane and A≤90 °, and h is
The height of beam body and h=h after reinforcing1+thn+tsp(3), vertical height h of longitudinal side steel plate 2spv=c0×h;Described reinforcing
Rear beam body by the described prestressing without bondn of employing and steel plate and concrete composite reinforcing construction to being reinforced after box beam 6 reinforces
Beam body;
Step 302, strengthening steel slab theoretical maximum THICKNESS CALCULATION: described data handling equipment is according to formula tspmax=min
(tsp1,tsp2,tsp3) (4), calculate strengthening steel slab theoretical maximum thickness tspmax;
In formula (4),
In formula (4-1), formula (4-2) and (4-3), α1For the compressive region concrete rectangular stress of beam body after described reinforcing
The stress value of figure and the ratio of concrete axial compressive strength design load, fcBy the concrete axle center pressure resistance of reinforcing box beam 6
Degree design load and its unit be MPa, β be after described reinforcing the compressive region concrete rectangular stress diagram depth of compressive zone of beam body with in
The ratio of property axle height and β=0.8;EsyBy the elastic modelling quantity of set longitudinal tensile reinforcing bar 6-2 and it is single in reinforcing box beam 6
Position is MPa;EpyBy in reinforcing box beam 6 elastic modelling quantity and its unit of set longitudinal prestressing reinforcing bar 3 be MPa;EspThe end of for
Steel plate 1 or the elastic modelling quantity of longitudinal side steel plate 2 and its unit are MPa;ApyBy being reinforced longitudinal prestressing reinforcing bar set by box beam 6
The cross-sectional area of 3 and its unit are mm2;
In formula (4-1),Wherein εcuBy the compressive region of reinforcing box beam 6
Ultimate compressive strain of concrete, σp0By the reinforcing bar Resultant force concrete normal direction of set longitudinal prestressing reinforcing bar 3 in reinforcing box beam 6
Stress of prestressed steel value and its unit when stress is equal to zero are MPa;fpyTensile strength for longitudinal prestressing reinforcing bar 3 designs
Value and its unit are MPa;ApyBy the cross-sectional area of longitudinal prestressing reinforcing bar 3 set by reinforcing box beam 6 and its unit be mm2;
To εsp1When calculating, first according to formulaCalculate εsp10;Again
Judge εsp10Whether it is more thanWhenTime,Otherwise, εsp1=εsp10;WhereinOr h'=
h;εspyFor end steel plate 1 or the yield strain of longitudinal side steel plate 2;εi1At the bottom of when affecting for consideration secondary loading, the delayed of steel plate 1 should
Become;fspyIt is MPa for end steel plate 1 or the steel plate tensile strength design load of longitudinal side steel plate 2 and its unit;
To εspw1When calculating, first according to formulaMeter
Calculation draws εspw10;Judge ε againspw10Whether it is more thanWhenTime,Otherwise, εspw1=εspw10;
Wherein εi2The hysteretic strain of longitudinal direction side steel plate 2 when affecting for consideration secondary loading;
In formula (4-2),
To εs1When calculating, first according to formulaCalculate εs10;
Judge ε agains10Whether it is more thanWhenTime,Otherwise,
εs1=εs10;
To εs2When calculating, it is judged that εs10Whether it is more thanWhenTime,Otherwise, εs2=
εs10;
To εspw2When calculating, first according to formula Meter
Calculation draws εspw20;Judge ε againspw20Whether it is more thanWhenTime,Otherwise, εspw2=εspw20;
In formula (4-3),
To εs3When calculating, first according to formula Meter
Calculation draws εs30;Judge ε agains30Whether it is more thanWhenTime,
Otherwise, εs3=εs30;
To εs4When calculating, it is judged that εs30Whether it is more thanWhenTime,Otherwise, εs4=
εs30;
To εsp2When calculating, first according to formula
Calculate εsp20;Judge ε againsp20Whether it is more thanWhenTime,Otherwise, εsp2=εsp20;
Step 303, strengthening steel slab thickness determine with concrete thickness: use described data handling equipment to tspAnd thnPoint
Not being determined, process is as follows:
Step 3031, overreinforced judge: judge the strengthening steel slab theoretical maximum thickness t calculated in step 302spmaxWhether
Less than tspm: work as tspmax< tspmTime, it is judged that it is in overreinforced state for beam body after the most described reinforcing, and enters step 3032;No
Then, t is worked asspmax≥tspmTime, it is judged that it is in non-overreinforced state for beam body after the most described reinforcing, and enters step 3033;
Step 3032, parameter increase adjustment, comprise the following steps:
Judgement that the increase of step 30321, concrete thickness adjusts and concrete thickness transfinites: by thnIncrease Δ thn, and to increasing
T after greathnCarry out concrete thickness to transfinite judgement: the t after increasinghn> thnMTime, it is judged that transfinite for concrete thickness, will increase
T after greathnReducing △thn, and enter step 30322;Otherwise, the t after increasinghn≤thnMTime, it is judged that for concrete thickness not
Transfinite, and enter step 30323;
Wherein, Δ thn=15mm~25mm;thnMFor described lower concrete structure set in advance or described sidepiece coagulation
The maximum gauge of soil structure;
Step 30322, strengthening steel slab thickness increase adjustment: by tspIncrease Δ tsp, and enter step 30323;Wherein, Δ
tsp=1mm~3mm;
Step 30323, strengthening steel slab theoretical maximum THICKNESS CALCULATION and overreinforced judge: according to the method described in step 302,
Calculate now strengthening steel slab theoretical maximum thickness tspmax, and judge tspmaxWhether less than tspm: work as tspmax< tspmTime, sentence
Break and be in overreinforced state for beam body after the most described reinforcing, return step 30321;Otherwise, t is worked asspmax≥tspmTime, it is judged that for this
After Shi Suoshu reinforces, beam body is in non-overreinforced state, and enters step 3033;
Step 3033, anti-bending bearing capacity are verified: call anti-bending bearing capacity computing module and process according to data described in formula
Equipment is according to formula
To the anti-bending bearing capacity M of beam body after the most described reinforcinguCarry out
Calculate, and the M that will calculateuWith Mu' carry out difference comparsion: work as Mu< MuIn ' time, return step 3032;Otherwise, M is worked asu≥Mu′
Time, complete concrete thickness and strengthening steel slab thickness determines process and exports thnAnd tsp, enter back into step 304;
In formula (5), x is the concrete compression district height of beam body after described reinforcing;ApyVertical by being reinforced set by box beam 6
To the cross-sectional area of deformed bar 3, AspCross-sectional area and A for end steel plate 1sp=b tsp, AspwFor longitudinal side steel plate 2
Cross-sectional area and Aspw=tsp·hspw;σpkFor the stress value of predetermined no-cohesive prestressed reinforcement 4, ApkGlue for described nothing
In knot prestressing force and steel plate and concrete composite reinforcing construction set no-cohesive prestressed reinforcement 4 area of section andWherein n is the quantity of no-cohesive prestressed reinforcement 4, d0For no-cohesive prestressed reinforcement 4 diameter and
Its unit is mm;A is set prestressing without bondn steel in described prestressing without bondn and steel plate and concrete composite reinforcing construction
In the center of gravity of muscle 4 and reinforced box beam 6, the Resultant force of tensile region longitudinal direction nonprestressed reinforcement and longitudinal prestressing reinforcing bar 3 is (also referred to as
Point of resultant force) between distance and
Wherein, σpkUnit be MPa, the unit of b, x and a is mm, Asp、AspwAnd ApkUnit be mm2;
Step 304, longitudinal side steel plate height determine with end steel plate width: the t of output in integrating step 303spAnd thn, institute
State data handling equipment calculate the width b of end steel plate 1 according to formula (1) and export b;Meanwhile, described data handling equipment
First calculate the height h of beam body after described reinforcing according to formula (3), calculate longitudinal side steel plate 2 further according to formula (2)
Highly hspwAnd export hspw。
Wherein, fsy' and fsyUnit be MPa.Further, fsy′、fsy、α1、fc、β、Esy、εspy、εcu、fspy、fpy、σpkWith
The isoparametric implication of x sees " highway reinforced concrete and prestressed concrete bridge contain design specification " (JTG D62-2004) and Shan
West saves provincial standard " steel plate concrete composite reinforcement beam bridge technique of design and construction code ".
It should be noted that: secondary loading refers to structure (reinforced box beam 6) stress before reinforcing,
The upper described prestressing without bondn of constructing of the structure (reinforced box beam 6) of stress is carried out with steel plate and concrete composite reinforcing construction
Stress again after reinforcing.
When considering that secondary loading affects, end steel plate 1 should be calculated according to loading condition when reinforcing by plane cross-section assumption
Hysteretic strain.
In above-mentioned parameter, described x by the neutral axis of reinforcing box beam 6 to the distance at pressurized edge, cross section, its middle section
Pressurized edge is the end face of described top board.Wherein, end face and its section that pressurized edge, cross section is described wing plate of reinforced box beam 6
Tension edge, face is the bottom surface of described web.The described equivalent square that compressive region concrete rectangular stress diagram is compressive region concrete
Shape stress diagram.
In the present embodiment, the f described in step 302cBy the concrete axial compressive strength design load of reinforcing box beam 6, α1
By the stress value of compressive region concrete rectangular stress diagram of reinforcing box beam 6 and the ratio of concrete axial compressive strength design load
Value.
In the present embodiment, to described α in step 3021When being determined, when the concrete strength etc. of reinforced box beam 6
When level is less than C50, α1=1;When the strength grade of concrete of reinforced box beam 6 is C80, α1=0.94;When reinforced box beam
When the strength grade of concrete of 6 is other grade between C50~C80, α1It is determined by linear interpolation.
Normal concrete is divided into 14 grades, i.e. C15, C20, C25, C30, C35, C40, C45, C50, C55, C60,
C65, C70, C75 and C80.
α1When being determined by linear interpolation,
When the strength grade of concrete of reinforced box beam 6 is C55,
When the strength grade of concrete of reinforced box beam 6 is C60,
When the strength grade of concrete of reinforced box beam 6 is C65,
When the strength grade of concrete of reinforced box beam 6 is C70,
When the strength grade of concrete of reinforced box beam 6 is C75,
In the present embodiment, before step 3033 carries out anti-bending bearing capacity checking, first to described prestressing without bondn and steel
In plate-Combined concrete reinforcing construction, quantity n of set no-cohesive prestressed reinforcement 4 is determined;
When quantity n of no-cohesive prestressed reinforcement 4 is determined, according to formula Calculate
Go out quantity n of adhesive prestressed steel bar 4;
In formula (5),Expression rounds up, σpCable tensios control for predetermined no-cohesive prestressed reinforcement 4 should
Force value, y is the neutral axis of beam body and institute in described prestressing without bondn and steel plate and concrete composite reinforcing construction after described reinforcing
Distance between the center of gravity of no-cohesive prestressed reinforcement 4, a are setpArea of section for single described no-cohesive prestressed reinforcement 4
AndWherein d0Diameter and its unit for no-cohesive prestressed reinforcement 4 are mm;M by the beam of reinforcing box beam 6
The moment of flexure and M=kql that body section increases and increase because conducting oneself with dignity2, wherein k by the bending moment coefficients of reinforcing box beam 6, q is by being reinforced
The beam body cross section of box beam 6 is because increasing the line load that described prestressing without bondn produces, l with steel plate and concrete composite reinforcing construction
By the calculating of reinforcing box beam 6 across footpath.
Wherein, k is parameter known to art technology;When described reinforced box beam 6 is simply supported beam, k=0.125;Institute
When stating reinforced box beam 6 for continuous beam, the value of bending moment coefficients k can be found at " building structure reckoner ".The unit of q is N/
The unit of mm, l is mm.
In actual mechanical process, when quantity n of no-cohesive prestressed reinforcement 4 is determined, it is possible in accordance with the following methods
Being determined, process is as follows:
Step 3033-1, parameter initialization: use described parameter input unit that the initial value of n is set, and n=2;
Step 3033-2, section turn moment are verified: according to formula M=kql2To the beam body cross section of reinforced box beam 6 because of
The moment M that deadweight increases and increases calculates, and M Yu the n σ that will calculatep·apY carries out difference comparsion: work as n
σp·apDuring y >=M, complete no-cohesive prestressed reinforcement quantity and determine process and export n;Otherwise, as n σp·apY < M
Time, enter step 3033-3;
Wherein k by the bending moment coefficients of reinforcing box beam 6, q by the beam body cross section of reinforcing box beam 6 because increasing described soap-free emulsion polymeization
The line load that prestressing force and steel plate and concrete composite reinforcing construction produce, l by the calculating of reinforcing box beam 6 across footpath;
Step 3033-3, deformed bar quantity increase adjustment: add 1 by quantity n of now no-cohesive prestressed reinforcement 4;
Step 3033-4, section turn moment are verified: after in step 3033-3, deformed bar quantity increases adjustment, according to formula
M=kql2The moment M increased the beam body cross section of reinforced box beam 6 because deadweight increases calculates, and will calculate
M Yu the n σ gone outp·apY carries out difference comparsion: as n σp·apDuring y >=M, complete no-cohesive prestressed reinforcement quantity true
Determine process and export n;Otherwise, as n σp·apDuring y < M, return step 3033-3.
In the present embodiment, according to the formula (2) the width h to longitudinal side steel plate 2 in step 304spwWhen calculating, calculate
Draw
To h in step 304spwBefore output, also need to call longitudinal side steel plate width adjusting module to longitudinal side steel plate 2
Highly hspwBeing optimized adjustment, process is as follows:
Step 3041, longitudinal side steel plate width reduce adjustment: by hspwReduce Δ hspw;Wherein, Δ hspw=45mm~
55mm;
Step 3042, longitudinal side steel plate width threshold decision: after in step 3041, longitudinal side steel plate width reduces adjustment, right
hspwSize judge: whenOr hspwDuring sinA < 350mm, by hspwIncrease Δ hspw, complete to indulge
To side steel plate height adjustment process and export hspw;Otherwise, step 3043 is entered;
Step 3043, anti-bending bearing capacity are verified: call described anti-bending bearing capacity computing module, and according to formula (5) to step
The anti-bending bearing capacity M of beam body after described reinforcing after longitudinal side steel plate width reduces adjustment in rapid 3041uCalculate, and will calculate
The M drawnuWith Mu' carry out difference comparsion: work as Mu≥MuIn ' time, return step 3041;Otherwise, M is worked asu< MuIn ' time, by hspwIncrease Δ
hspw, complete longitudinal side steel plate width and adjust process and export hspw。
In the present embodiment, when carrying out concrete thickness increase adjustment in step 30321, described data handling equipment calls number
Value increases adjusting module makes thn=thn+Δthn;
When carrying out the increase adjustment of strengthening steel slab thickness in step 30322, described data handling equipment is called described numerical value and is increased
Big adjusting module makes tsp=tsp+Δtsp;
When carrying out the steel plate width reduction adjustment of longitudinal side in step 3041, described data handling equipment is called described numerical value and is subtracted
Little adjusting module makes hspw=hspw-Δhspw;
By h in step 3042 and step 3043spwIncrease Δ hspwTime, described data handling equipment is all called described numerical value and is increased
Big adjusting module makes hspw=hspw+Δhspw。
In actual mechanical process, when carrying out concrete thickness increase adjustment in step 30321, described data handling equipment makes
By thn+ΔthnUnloading is thn?;When step 30322 carries out the increase adjustment of strengthening steel slab thickness, described data handling equipment
By tsp+ΔtspUnloading is tsp?;When carrying out the steel plate height reduction adjustment of longitudinal side in step 3041, described data process and set
Standby by hspw-ΔhspwUnloading is hspw?;By h in step 3042 and step 3043spwIncrease Δ hspwTime, described data process
Equipment is by hspw+ΔhspwUnloading is hspw?.
In the present embodiment, described data handling equipment is PC.
Time actually used, described data handling equipment can also use other data processing equipments such as ARM microprocessor.
In the present embodiment, according to formula (5) to the anti-bending bearing capacity M of beam body after the most described reinforcing in step 3033uEnter
Before row calculates, the first structural parameters according to the reinforced box beam 6 determined in step 2 and now n, tsp、b、hspwAnd thn's
Numerical value, is determined the position of the neutral axis of beam body after the most described reinforcing, and according to the neutral axis of beam body after described reinforcing
Position the concrete compression district height x of beam body after the most described reinforcing is determined.
According to general knowledge known in this field, neutral axis is that the neutral line of beam and the intersection of cross section are in plain bending and unsymmetrical bending
Under situation, cross section is zero with the direct stress value of each point on the intersection of stress plane, and this intersection is referred to as neutral axis.
In the present embodiment, in step 2, the neutral axis of reinforced box beam 6 passes and its concrete compression in described web
Highly more than the thickness of described top board, described neutral axis is also referred to as natural axis.
In the present embodiment, the t described in step 301spm=6mm, thnm=80mm.
During practice of construction, can according to specific needs, to tspmAnd thnmSpan adjust accordingly.
As shown in the above, the concrete thickness t finally determinedhnAt thnm~thnMBetween, the reinforcing steel finally determined
Plate thickness tspAt tspm~tspmaxBetween.
In the present embodiment, thnM=20cm.
During practice of construction, can according to specific needs, by thnMValue adjust accordingly in the range of 18cm~22cm.
In the present embodiment, in step 2, in reinforced box beam 6, set longitudinal compressive reinforcement 6-1 is respectively positioned on same level
Go up and as' it is the vertical distance between longitudinal compressive reinforcement 6-1 and described top board end face, set longitudinal in reinforced box beam 6
Tension reinforcement 6-2 is respectively positioned in same level;Described longitudinal compressive reinforcement 6-1 and longitudinal tensile reinforcing bar 6-2 lays respectively at institute
Reinforce the upper and lower both sides of neutral axis of box beam 6;
The quantity of described longitudinal compressive reinforcement 6-1 is n1Road and its be respectively positioned in described top board, n1Longitudinal Steel Compression described in road
Muscle 6-1 is respectively positioned in same level;Asy' for n1The cross-sectional area sum of longitudinal compressive reinforcement 6-1 described in road;Wherein, n1
For positive integer;
The quantity of described longitudinal tensile reinforcing bar 6-2 is n2Road and its be respectively positioned in described base plate, n2Longitudinal tensile steel described in road
Muscle 6-2 is respectively positioned in same level;AsyFor n2The cross-sectional area sum of longitudinal tensile reinforcing bar 6-2 described in road;Wherein, n2For
Positive integer.
The quantity of described longitudinal prestressing reinforcing bar 3 is n3Road and its be respectively positioned in described base plate, n3Longitudinal prestressing described in road
Reinforcing bar 3 is respectively positioned in same level and it is respectively positioned on n2Above longitudinal tensile reinforcing bar 6-2 described in road;ApFor n3Described in road longitudinally
The cross-sectional area sum of deformed bar 3;Wherein, n3For positive integer.
In the present embodiment, work as n1When >=2, n1Described in road, longitudinal compressive reinforcement 6-1 is in uniformly laying.Work as n2When >=2, n2Road
Described longitudinal tensile reinforcing bar 6-2 is in uniformly laying;Work as n3When >=2, n3Longitudinal tensile reinforcing bar 6-2 described in road is in uniformly laying.Its
In, h01Vertical distance for longitudinal tensile reinforcing bar 6-2 present position to described wing plate end face.
In the present embodiment, described in multiple tracks, no-cohesive prestressed reinforcement 4 is respectively positioned on the middle inside of described steel jacket box.
The effective depth of section h of reinforced box beam 60By tensile region longitudinal reinforcement Resultant force in being reinforced box beam 6 to cross section
The distance at pressurized edge.In reinforced box beam 6, tensile region longitudinal reinforcement Resultant force is longitudinal tensile set in being reinforced box beam 6
Reinforcing bar 6-2 and the point of resultant force of longitudinal prestressing reinforcing bar 3.The top that pressurized edge, cross section is described top board of reinforced box beam 6
Face and the bottom surface that its tension edge, cross section is described base plate.Wherein, h01For longitudinal tensile reinforcing bar 6-2 present position to described top board
The vertical distance of end face, h02Vertical distance for longitudinal prestressing reinforcing bar 3 present position to described top board end face.
Actual when calculating, it is also possible to by the c described in step 3010It is set as 0.25.
For calculating simplicity, when carrying out strengthening steel slab theoretical maximum THICKNESS CALCULATION in step 302, h '=h.
During practice of construction, steel plate of the described end 1 and two described longitudinal side steel plates 2 are all fixed on by multiple crab-bolts and are reinforced
In box beam 6.
When step 302 carries out strengthening steel slab theoretical maximum THICKNESS CALCULATION, it is analyzed from following three kinds of limit states:
Wherein, ε is reached when edge, compressive region concrete straincuTime, longitudinal prestressing reinforcing bar 3 nominal yield, longitudinal tensile steel
Muscle 6-2 surrenders, strengthening steel slab thickness t under this kind of statespMeet formula (4-1);
When edge, compressive region, concrete strain reaches εcuTime, the strain of end steel plate 1 is εspy, under this kind of state, strengthening steel slab is thick
Degree tspMeet formula (4-2);
When edge, compressive region, concrete strain reaches εcuTime, the strain of longitudinal side steel plate 2 is εspy, under this kind of state, reinforce steel
Plate thickness tspMeet formula (4-3).
So, strengthening steel slab theoretical maximum thickness t can be drawn according to formula (4)spmax。
Further, εi2When consideration secondary loading for calculating according to plane cross-section assumption affects, longitudinal direction side steel plate 2 is average
Hysteretic strain, εi1Calculate according to plane cross-section assumption.
In the present embodiment, the top gradient of the described xoncrete structure 5 of described web outside is 1: 1.
The above, be only presently preferred embodiments of the present invention, not impose any restrictions the present invention, every according to the present invention
Any simple modification, change and the equivalent structure change that above example is made by technical spirit, all still falls within skill of the present invention
In the protection domain of art scheme.