CN115478481A - A construction method for the closure section of cast-in-place cantilever box girder with corrugated steel web - Google Patents
A construction method for the closure section of cast-in-place cantilever box girder with corrugated steel web Download PDFInfo
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Abstract
Description
技术领域technical field
本发明属于桥梁合拢段施工技术领域,特别涉及一种波形钢腹板现浇悬臂箱梁合拢段施工方法。The invention belongs to the technical field of bridge closure section construction, and in particular relates to a construction method for a corrugated steel web cast-in-place cantilever box girder closure section.
背景技术Background technique
现浇连续箱梁合拢段劲性骨架,在减小温度影响,保障精确合拢等方面起到重要作用。劲性骨架主要施工工序包括钢筋预埋、钢板焊接、14b槽钢焊接、40b槽钢焊接。全桥劲性骨架安装施工工期为5-7天。整体劲性骨架造价约30-50万之间。劲性骨架主要用于中跨桥梁的精确合拢。The rigid frame of the closing section of the cast-in-place continuous box girder plays an important role in reducing the temperature influence and ensuring accurate closing. The main construction process of the rigid frame includes pre-embedded steel bars, steel plate welding, 14b channel steel welding, and 40b channel steel welding. The construction period for the installation and construction of the stiff frame of the whole bridge is 5-7 days. The cost of the overall rigid frame is about 300,000-500,000. The stiff skeleton is mainly used for the precise closure of mid-span bridges.
为了进一步的优化合拢段施工工艺,在不降低桥梁质量的前提下,提高施工进度,降低施工成本。通过以工程实例作为载体,以力学分析为基础,提出一种新型的合拢段施工设计方案。In order to further optimize the construction process of the closing section, improve the construction progress and reduce the construction cost without reducing the quality of the bridge. By taking the engineering example as the carrier and the mechanical analysis as the basis, a new construction design scheme for the closure section is proposed.
发明内容Contents of the invention
本发明的目的在于:针对现有技术存在的桥梁中合拢段施工时间久,施工成本高的技术缺陷,提供一种波形钢腹板现浇悬臂箱梁合拢段施工方法。The purpose of the present invention is to provide a construction method for the closing section of the cantilever box girder cast-in-place with corrugated steel webs, aiming at the technical defects of long construction time and high construction cost of the closing section of the bridge existing in the prior art.
为了实现上述目的,本发明采用的技术方案为:In order to achieve the above object, the technical scheme adopted in the present invention is:
一种波形钢腹板现浇悬臂箱梁合拢段施工方法,包括以下步骤:A construction method for the closure section of a cast-in-place cantilever box girder with a corrugated steel web, comprising the following steps:
步骤1:进行桥梁合拢段两侧N-1节段砼顶板施工;Step 1: Carry out the construction of the concrete roof of the N-1 segment on both sides of the bridge closing section;
步骤2:合拢段施工,包括依次进行的N节段钢腹板安装、N节段砼底板安装和N节段砼顶板安装,具体的,N节段波形钢腹板替代劲性骨架直接作为承力单元和桥梁永久结构。Step 2: Construction of closing section, including N-segment steel web installation, N-segment concrete bottom plate installation and N-segment concrete roof installation in sequence, specifically, N-segment corrugated steel web replaces stiff skeleton directly as bearing Force elements and bridge permanent structures.
本发明提出一种波形钢腹板现浇悬臂箱梁合拢段的改进的施工方案,通过对现有的波形钢腹板现浇悬臂箱梁的刚构桥结构在施工过程中的受力分析,发现,现有施工过程中在合拢段的施工过程中,可以直接采用波形钢腹板取代劲性骨架进行受力,通过实践证明,该种施工方法一方面极大的降低了合拢段施工的成本投入,另一方面,简化了施工过程,进一步的加快了桥梁的施工进程。对于同类型的桥梁合拢段施工提供了实践依据。The present invention proposes an improved construction scheme for the closing section of the cast-in-place cantilever box girder with corrugated steel webs. Through the force analysis of the existing rigid-frame bridge structure of cast-in-place cantilever box girders with corrugated steel webs during the construction process, It is found that in the construction process of the closure section in the existing construction process, corrugated steel webs can be directly used instead of the stiff skeleton for stress. It has been proved by practice that this construction method greatly reduces the construction cost of the closure section on the one hand. The investment, on the other hand, simplifies the construction process and further speeds up the construction process of the bridge. It provides a practical basis for the construction of the same type of bridge closing section.
作为本发明的优选技术方案,步骤2中,合拢段施工过程中,在进行N节段钢腹板安装前,还包括钢腹板替代劲性骨架的受力分析过程,所述受力分析按照如下步骤进行:As a preferred technical solution of the present invention, in
步骤201:根据桥梁合拢段对应的两个主墩的数据信息,建立物理模型;Step 201: Establish a physical model according to the data information of the two main piers corresponding to the closing section of the bridge;
步骤202:对桥梁的合拢段位置通过劲性骨架连接作为工况1和通过钢腹板进行连接作为工况2分别进行受力分析计算;Step 202: Carry out force analysis and calculation for the position of the closing section of the bridge connected by a stiff skeleton as working
步骤203:对比步骤202的计算结果,当所述工况2的应力值和应变值均大于所述工况1的应力值和应变值时,采取省略劲性骨架连接结构,以波形钢腹板为承力单元,直接进行N节段钢腹板安装施工工序。Step 203: Comparing the calculation results of step 202, when the stress value and strain value of the working
本发明的技术方案中,通过与现有技术的桥梁合拢段施工过程中,先进行劲性骨架的连接安装方式进行建模对比两者之间的受力,从而得出精确的数据分析使用波形钢腹板取代劲性骨架的可行性。发明人根据多年的桥梁施工实践发现,在现有技术中,通过劲性骨架先将合拢段进行连接,再进行波形钢腹板的连接施工过程中,劲性骨架所承担的作用是承担或替代在合拢段混凝土期间产生的附加作用力,确保合拢段混凝土质量以及两悬臂端连接的可靠性安全性。在此过程中,波形钢腹板安装后,由于劲性骨架为主要承力单元,因此波形钢腹板并未承力,考虑到施工的经济性,劲性骨架只是合拢段之间的临时连接单元,不属于桥梁主体部分,在后期需要拆除。额外的搭建-拆除过程工程量较大,且会进一步增加施工成本,如果能够发挥波形钢腹板的作用,使其取代劲性骨架所承担的作用,不仅可以进一步的缩短施工周期,还可以节省高昂的劲性骨架的材料费用。因此根据合拢段的结构,对劲性骨架和波形钢腹板分别进行了受力的比较。通过数据结果来支撑方案的可行性。In the technical solution of the present invention, during the construction process of the bridge closing section of the prior art, the connection and installation of the stiff skeleton is firstly carried out to model and compare the force between the two, so as to obtain accurate data analysis and use waveforms Feasibility of steel webs replacing stiffeners. Based on many years of bridge construction practice, the inventor found that in the prior art, the closing sections are first connected through the stiff skeleton, and then the corrugated steel web is connected during the construction process. The role of the stiff skeleton is to undertake or replace The additional force generated during the closing of the concrete section ensures the quality of the closing section concrete and the reliability and safety of the connection of the two cantilever ends. During this process, after the corrugated steel web is installed, since the stiff skeleton is the main load-bearing unit, the corrugated steel web does not bear the force. Considering the economy of construction, the stiff skeleton is only a temporary connection between the closed sections Units, which do not belong to the main part of the bridge, need to be demolished later. The additional construction-demolition process requires a large amount of work and will further increase the construction cost. If the corrugated steel web can be used to replace the role of the rigid frame, it will not only further shorten the construction period, but also save High material costs for rigid frames. Therefore, according to the structure of the closed section, the stress of the stiff skeleton and the corrugated steel web are compared respectively. Support the feasibility of the program through data results.
作为本发明的优选技术方案,步骤202中,工况1中,合拢段通过劲性骨架固定,所述劲性骨架主要承受沿桥梁纵向的压应力,在进行受力分析过程中,计算所述劲性骨架在升温状态下的抗压应力和抗压应变;As a preferred technical solution of the present invention, in step 202, in working
工况2中,合拢段通过波形钢腹板先进行螺栓连接,再进行焊接连接,整块波形钢腹板在纵桥方向所承受的压应力忽略不计,因此在进行受力分析过程中,计算在升温状态下波形钢腹板产生的压应力;压应力由波形钢腹板上的PBL剪力键和底板分别承担。In working
施工桥梁为刚构桥结构,主墩与承台,主墩与0#号块都是刚性连接,中跨合拢段劲性骨架在施工过程中,主要抵抗悬臂段因为温度变化而产生的拉压应力,弯拉和剪切应力可以忽略不计。The construction bridge is a rigid frame bridge structure, the main pier and cap, and the main pier and No. 0# block are all rigidly connected. During the construction process, the rigid skeleton of the mid-span closing section mainly resists the tension and compression of the cantilever section due to temperature changes. Stresses, bending-tensile and shear stresses are negligible.
作为本发明的优选技术方案,步骤201中,比较合拢段位置的两个主墩高度,选择高度较低的主墩进行建模分析;建立物理模型的方式包括两种:a、将一个单支墩柱视为一个杆件,双肢墩和0#号块整体看作是一个“门”型钢架;b、将一个主墩单幅的两个支墩视为空心横截面的悬臂杆件。通过不同形式的建模方法分别进行测算,可以进行最终数据的相互印证,确保方案的可行性。As a preferred technical solution of the present invention, in step 201, compare the heights of the two main piers at the position of the closing section, and select the lower main pier for modeling analysis; the mode of establishing a physical model includes two kinds: a. The pier column is regarded as a bar, and the double-leg pier and the 0# block are regarded as a "door" steel frame as a whole; b. The two buttresses of a single-width main pier are regarded as a cantilever member with a hollow cross section . Different forms of modeling methods are used to measure and calculate separately, and the final data can be mutually verified to ensure the feasibility of the scheme.
结合静力分析采用对主墩以及合拢段施加静态载荷,分析主墩和合拢段所受的应力,分析主墩和合拢段的变形、应变等参数。Combined with the static analysis, the static load is applied to the main pier and the closing section, the stress on the main pier and the closing section is analyzed, and the deformation, strain and other parameters of the main pier and the closing section are analyzed.
劲性骨架固定后,主要承受沿桥梁纵向的压应力。而劲性骨架安装时间定为一天中气温最低的时间段,因此,只考虑升温状态下劲性骨架的抗压应力与抗压应变,不考虑降温状况下的抗拉应力与抗拉应变。After the rigid frame is fixed, it mainly bears the compressive stress along the longitudinal direction of the bridge. The installation time of the rigid framework is set at the time of the day when the temperature is the lowest. Therefore, only the compressive stress and compressive strain of the rigid framework under the heating state are considered, and the tensile stress and tensile strain under the cooling condition are not considered.
在劲性骨架合拢前,主跨由于温度变化引起的伸缩量按照下式计算:Before the stiff frame is closed, the expansion and contraction of the main span due to temperature changes is calculated according to the following formula:
ΔL=a·ΔT·L;其中:ΔL=a·ΔT·L; where:
ΔL表示温度变化总伸缩量;ΔL represents the total expansion and contraction of temperature changes;
a表示混凝土梁体线膨胀系数,取0.00001(按照设计规范附录取值);a represents the linear expansion coefficient of the concrete beam body, which is taken as 0.00001 (according to the appendix of the design specification);
ΔT表示合拢段施工期间昼夜最大温差,根据实测值确定;ΔT represents the maximum temperature difference between day and night during the construction period of the closing section, which is determined according to the measured value;
L表示为悬臂段最大长度,取两主墩间净距扣除合拢段后长度的一半;L represents the maximum length of the cantilever section, half of the length after deducting the closing section from the net distance between the two main piers;
具体的,抵抗应力的计算根据两种不同的建模方法分别计算:Specifically, the calculation of resistive stress is calculated according to two different modeling methods:
分别根据两种建模方法分别进行计算:The calculations are carried out according to the two modeling methods respectively:
a、产生1mm位移所需的力f1=(12E·I1)/h3;所述劲性骨架需要承受的力为:F1=f1·ΔL;a. The force f 1 =(12E·I 1 )/h 3 required to produce a displacement of 1 mm; the force that the stiff skeleton needs to bear is: F 1 =f 1 ·ΔL;
b、产生1mm位移所需要的力f2=(3E·I2)/h3;所述劲性骨架需要承受的力为:F2=f2·ΔL;b. The force f 2 =(3E·I 2 )/h 3 required to produce a displacement of 1 mm; the force that the stiff skeleton needs to bear is: F 2 =f 2 ·ΔL;
比较F1和F2,以较大的值作为比较参考值。Compare F 1 and F 2 , and use the larger value as a comparison reference value.
E表示混凝土弹性模量(C40)。E represents the modulus of elasticity of concrete (C40).
I1表示双肢墩中单幅对0#号块横向中心线的惯性矩。I 1 represents the moment of inertia of the single frame in the double-leg pier with respect to the transverse centerline of
h表示双肢墩高。h represents the height of the pier of both limbs.
作为本发明的优选方案,步骤202中,工况2的受力分析过程步骤如下:计算箱梁两侧波形钢腹板纵向抗压横断面总面积A,则波形钢腹板作为劲性骨架时承受的应力为:As a preferred solution of the present invention, in step 202, the stress analysis process steps of working
σ=f2/A (2);σ = f 2 /A (2);
[σ]为钢腹板的抗压弹性模量,[σ]=340MPa;[σ] is the compressive modulus of elasticity of the steel web, [σ] = 340MPa;
波形钢腹板作为劲性骨架的应变验算:ε=F/(A·E) (3);Strain calculation of corrugated steel web as stiff skeleton: ε=F/(A·E) (3);
其中,ε为波形钢腹板因为温度变化而产生的应变,F为温度上升时钢腹板需要承受的内力,A为钢腹板横断面积,E为钢材抗压弹性模量,E=200000MPa,[ε]为混凝土极限变形量,[ε]=0.002。Among them, ε is the strain of the corrugated steel web due to temperature change, F is the internal force that the steel web needs to bear when the temperature rises, A is the cross-sectional area of the steel web, E is the compressive elastic modulus of the steel, E=200000MPa, [ε] is the limit deformation of concrete, [ε]=0.002.
优选的,步骤1中,N-1节段砼顶板施工具体包括:桥梁合拢段两侧N-1节段砼顶板模板就位,绑扎合拢段两侧N-1节段砼顶板钢筋,并浇筑合拢段两侧N-1节段砼顶板钢筋砼、养护。Preferably, in
具体的,桥梁合拢段两侧N-1节段砼顶板模板就位,绑扎合拢段两侧N-1节段砼顶板钢筋,并浇筑合拢段两侧N-1节段砼顶板钢筋砼、养护;由于现浇悬臂段采用错位异步挂篮施工工法,即顶板混凝土与底板混凝土错开1个节段施工。具体的,挂篮桁架分别处于桥梁合拢段两侧的N-1节段位置,将顶板模板从N-2节段前移至N-1节段,当N-1节段底板浇筑完毕时,N-1节段的顶板尚未浇筑,需要单独浇筑。施工时,挂篮原地就位不动,只需将顶板模板从N-2节段前移至N-1节段即可;Specifically, the N-1 section concrete roof formwork on both sides of the closing section of the bridge is in place, the N-1 section concrete roof reinforcement bars on both sides of the closing section are bound, and the N-1 section concrete roof reinforcement concrete on both sides of the closing section is poured, cured ; Since the cast-in-place cantilever section adopts the dislocation asynchronous hanging basket construction method, that is, the top slab concrete and the bottom slab concrete are staggered for one section construction. Specifically, the hanging basket trusses are located at the N-1 section on both sides of the bridge closing section, and the roof formwork is moved forward from the N-2 section to the N-1 section. When the N-1 section bottom plate is poured, The roof of section N-1 has not yet been poured and needs to be poured separately. During construction, the hanging basket stays in place, and only needs to move the roof formwork forward from the N-2 section to the N-1 section;
优选的,步骤2中,N节段钢腹板安装包括以下步骤:Preferably, in
步骤2.1:测量合拢段两侧悬臂端钢腹板的精确位置;复核合拢段钢腹板的长度尺寸、高度尺寸、螺栓孔位置;确保合拢段钢腹板的几何尺寸相对应,螺栓孔位置准确;Step 2.1: Measure the precise position of the steel webs at the cantilever ends on both sides of the closing section; double check the length, height, and bolt hole positions of the steel webs in the closing section; ensure that the geometric dimensions of the steel webs in the closing section correspond to each other, and the positions of the bolt holes are accurate ;
步骤2.2:通过挂篮上龙门吊在工作面吊装就位,将对应位置的钢腹板起吊至对接位置,通过螺栓实现临时固定;注意全桥螺栓安装穿入方向一致,其轴线需垂直于钢板表面。Step 2.2: Lift the gantry crane on the hanging basket into place on the working surface, lift the steel web at the corresponding position to the docking position, and temporarily fix it with bolts; note that the bolts of the whole bridge are installed in the same direction, and their axes must be perpendicular to the surface of the steel plate .
优选的,步骤2.2完成波形钢腹板大面的螺栓固定后,再进行波形钢腹板的钢底板、顶板PBL键的焊接固定。Preferably, in step 2.2, after completing the bolt fixing of the large surface of the corrugated steel web, the welding and fixing of the steel bottom plate and the top plate PBL key of the corrugated steel web are carried out.
本发明的技术方案中,根据桥梁体独特设计结构及力学验算,将顶板钢筋砼、钢腹板、底板钢筋砼进行异步施工。在基本无配重情况下先进行钢腹板合拢,其次进行底板钢筋砼浇筑合拢,最后完成顶板钢筋砼浇筑合拢。本发明的技术方案核心技术要点在于将箱梁合拢段砼顶板、波形钢腹板、砼底板分成三次施工。完成钢腹板的精确合拢后,基本形成梁体受力体系,满足三向受力。然后将钢腹板作为受力基础,顺序完成底板及顶板钢筋砼,完成全桥合拢。通过应用本发明的施工技术方案,合拢段施工工序大大减少,显著简化了合拢段施工步骤,缩短工期,降低施工成本。In the technical solution of the present invention, according to the unique design structure of the bridge body and mechanical checking calculation, the reinforced concrete of the roof, the steel web and the reinforced concrete of the bottom plate are asynchronously constructed. In the case of basically no counterweight, the steel web is firstly closed, followed by the bottom plate reinforced concrete pouring and closing, and finally the roof reinforced concrete pouring is completed. The core technical point of the technical scheme of the present invention is to divide the concrete roof, the corrugated steel web and the concrete bottom of the box girder closing section into three constructions. After the precise closing of the steel webs is completed, the beam-body stress system is basically formed, which satisfies the three-way stress. Then use the steel web as the force-bearing foundation, complete the bottom plate and roof reinforced concrete in sequence, and complete the closure of the whole bridge. By applying the construction technical scheme of the present invention, the construction process of the closing section is greatly reduced, the construction steps of the closing section are significantly simplified, the construction period is shortened, and the construction cost is reduced.
作为本发明的优选方案,步骤2中,N节段砼底板安装和N节段砼顶板安装具体包括如下步骤:As a preferred solution of the present invention, in
步骤2.3:合拢段即N节段砼底板模板就位;绑扎N节段砼底板钢筋;浇筑合拢段N节段砼底板钢筋砼;Step 2.3: The closing section, that is, the N-segment concrete floor formwork is in place; the N-segment concrete bottom slab reinforcement is bound; the N-segment concrete bottom slab reinforcement concrete is poured;
步骤2.4:N节段砼顶板模板就位;N-1节段砼顶板预应力筋张拉及灌浆;绑扎合拢段砼顶板钢筋;浇筑合拢段砼顶板钢筋砼;即完成了全桥合拢。Step 2.4: N-section concrete roof formwork is in place; N-1 section concrete roof prestressed tendons are stretched and grouted; the concrete roof reinforcement of the closing section is bound; the concrete roof reinforcement concrete of the closing section is poured;
作为本发明的优选技术方案,步骤2中,N节段钢腹板在吊装前需要完成钢腹板上螺栓连接摩擦面打磨处理工作,修整螺栓孔内的毛刺、污物;对钢腹板搭接面及焊接部位两侧3~5cm范围内进行打磨,确保光滑平整。As a preferred technical solution of the present invention, in
采用平板车将钢腹板从临时堆放点运至墩底,然后采用塔吊将钢腹板从墩底吊运至工作面,最后用挂篮上龙门吊在工作面吊装就位;钢腹板起吊至对接位置,采用螺栓临时固定。Use a flatbed truck to transport the steel web from the temporary stacking point to the bottom of the pier, then use a tower crane to lift the steel web from the bottom of the pier to the working face, and finally use the gantry crane on the hanging basket to hoist it in place on the working face; lift the steel web to the docking point The position is temporarily fixed with bolts.
合拢段位置处波形钢腹板的焊接操作时间段应为全天最低气温时间段,具体的温度范围根据施工季节对应进行调整。The welding operation time period of the corrugated steel web at the position of the closing section should be the time period of the lowest temperature in the whole day, and the specific temperature range should be adjusted according to the construction season.
综上所述,由于采用了上述技术方案,本发明的有益效果是:In summary, owing to adopting above-mentioned technical scheme, the beneficial effect of the present invention is:
1、本发明采用箱梁设计钢腹板代替临时劲性骨架,取消原设计的临时劲性骨架设计与施工。主跨合拢时,波形钢钢腹板部分先合拢,然后再完成合拢段的顶板和底板混凝土合拢。合拢段钢腹板焊接牢固后,合拢段两边梁体在XYZ三向上的位置均固定并保持变形一致。1. The present invention adopts the steel web of box girder design to replace the temporary rigid skeleton, and cancels the design and construction of the temporary rigid skeleton originally designed. When the main span is closed, the corrugated steel web part is closed first, and then the top plate and bottom plate concrete of the closed section are closed. After the steel web of the closing section is welded firmly, the positions of the beams on both sides of the closing section in the XYZ three directions are fixed and the deformation is kept consistent.
2、本发明的技术方案中,根据桥梁体独特设计结构及力学验算,将顶板钢筋砼、钢腹板、底板钢筋砼进行异步施工。在基本无配重情况下先进行钢腹板合拢,其次进行底板钢筋砼浇筑合拢,最后完成顶板钢筋砼浇筑合拢。本发明的技术方案核心技术要点在于将箱梁合拢段顶板、腹板、底板分成三次施工。完成钢腹板的精确合拢后,基本形成梁体受力体系,满足三向受力。然后将钢腹板作为受力基础,顺序完成底板及顶板钢筋砼,完成全桥合拢。2. In the technical solution of the present invention, according to the unique design structure and mechanical calculation of the bridge body, the reinforced concrete of the roof, the steel web and the reinforced concrete of the bottom plate are asynchronously constructed. In the case of basically no counterweight, the steel web is firstly closed, followed by the bottom plate reinforced concrete pouring and closing, and finally the roof reinforced concrete pouring is completed. The core technical point of the technical scheme of the present invention is to divide the roof, web and bottom plate of the closing section of the box girder into three constructions. After the precise closing of the steel webs is completed, the beam-body stress system is basically formed, which satisfies the three-way stress. Then use the steel web as the force-bearing foundation, complete the bottom plate and roof reinforced concrete in sequence, and complete the closure of the whole bridge.
3、通过应用本发明的施工技术方案,合拢段施工工序大大减少,显著简化了合拢段施工步骤,缩短工期,降低施工成本。3. By applying the construction technical scheme of the present invention, the construction process of the closing section is greatly reduced, the construction steps of the closing section are significantly simplified, the construction period is shortened, and the construction cost is reduced.
附图说明Description of drawings
图1是本发明涉及的刚构桥结构示意图;Fig. 1 is the rigid frame bridge structure schematic diagram that the present invention relates to;
图2是本发明涉及的刚构桥的横断面结构示意图;Fig. 2 is the cross-sectional structure schematic diagram of the rigid frame bridge that the present invention relates to;
图3是本发明的单个主墩的平面图;Fig. 3 is the plan view of single main pier of the present invention;
图4是本发明的劲性骨架的正视图;Fig. 4 is the front view of rigid framework of the present invention;
图5是本发明的劲性骨架的侧视图;Fig. 5 is a side view of the rigid framework of the present invention;
图6是本发明的施工工艺流程图;Fig. 6 is a construction process flow chart of the present invention;
图7是本发明的波形钢腹板的立面结构示意图;Fig. 7 is the elevation structure schematic diagram of corrugated steel web of the present invention;
图8是本发明的波形钢腹板的立体结构示意图;Fig. 8 is a three-dimensional structural schematic diagram of a corrugated steel web of the present invention;
图标:1-砼顶板;2-砼底板;3-波形钢腹板;31-大面,32-PBL剪力键,33-钢底板,4-主墩,5-承台,6-劲性骨架。Icons: 1-concrete top plate; 2-concrete bottom plate; 3-corrugated steel web; 31-big surface, 32-PBL shear key, 33-steel bottom plate, 4-main pier, 5-cap, 6-stiffness skeleton.
具体实施方式detailed description
下面结合附图,对本发明作详细的说明。Below in conjunction with accompanying drawing, the present invention is described in detail.
为了使本发明的目的、技术方案及优点更加清楚明白,以下结合附图及实施例,对本发明进行进一步详细说明。应当理解,此处所描述的具体实施例仅用以解释本发明,并不用于限定本发明。In order to make the object, technical solution and advantages of the present invention clearer, the present invention will be further described in detail below in conjunction with the accompanying drawings and embodiments. It should be understood that the specific embodiments described here are only used to explain the present invention, not to limit the present invention.
实施例1Example 1
如图1所示为某省某县1#大桥,为一座单箱单室、波形钢腹板现浇悬臂连续梁刚构桥。桥梁总长455m。两端引桥为3×30m预应力混凝土先简支后连续T梁,中间主桥72m+125m+72m波形钢腹板连续刚构梁,全桥立面如图1所示。As shown in Figure 1, the 1# bridge in a certain county in a certain province is a rigid frame bridge with single box and single room, cast-in-place cantilever continuous beam with corrugated steel web. The total length of the bridge is 455m. The approach bridges at both ends are 3×30m prestressed concrete first simply supported and then continuous T-beams, and the middle main bridge is 72m+125m+72m continuous rigid-frame beams with corrugated steel webs. The elevation of the whole bridge is shown in Figure 1.
其中,具体的,1至10节段以及合拢段箱梁的砼顶板1和砼底板2为钢筋混凝土,两侧腹板为波形钢腹板3。钢腹板顶部插入顶板钢筋混凝土,钢腹板底部外包底板钢筋混凝土,典型横断面结构如图2所示;Specifically, the concrete
其主墩设计为薄壁空心双肢墩,共两个。每个主墩4包含左右幅各两个支墩41。单个主墩平面图如图3所示。组成单个主墩4的四个支墩41全部坐落在同一承台5上。墩高分别为78m、85m,0#号块高7.8m。主墩4材质为C40钢筋混凝土。Its main pier is designed as a thin-walled hollow double-limb pier, and there are two in total. Each main pier 4 includes two
其中,现有技术中,合拢段施工方案具体为:Wherein, in the prior art, the construction scheme of the closing section is specifically:
首先是劲性骨架安装,接着完成顶板和底板的安装,最后安装波形钢腹板。The first is the installation of the rigid frame, followed by the installation of the top and bottom plates, and finally the installation of the corrugated steel web.
具体的,劲性骨架6的构造为混凝土中预埋φ20钢筋,钢筋上面连接600×20mm钢板,然后在钢板上焊接14b槽钢,槽钢上焊接600×20mm钢板,钢板上再焊接40b槽钢,最后在槽钢上焊接600×10mm钢板。Specifically, the structure of the
具体见图4-5所示,进一步的,全桥劲性骨架设计工程数量见表1:See Figure 4-5 for details. Further, the number of engineering works for the stiff frame design of the full bridge is shown in Table 1:
需钢材总量66T,造价42万元左右。The total amount of steel required is 66 tons, and the cost is about 420,000 yuan.
实施例2Example 2
本申请的技术方案:The technical scheme of this application:
本技术方案的施工工艺流程见图6所示,具体的,包括如下步骤:The construction process of this technical solution is shown in Figure 6, specifically, it includes the following steps:
步骤1:进行桥梁合拢段两侧N-1节段砼顶板施工;Step 1: Carry out the construction of the concrete roof of the N-1 segment on both sides of the bridge closing section;
步骤2:合拢段施工,包括依次进行的N节段钢腹板安装、N节段砼底板安装和N节段砼顶板安装。Step 2: Construction of closing section, including installation of N-segment steel web, N-segment concrete floor and N-segment concrete roof in sequence.
步骤1中,由于现浇悬臂段采用错位异步挂篮施工工法,顶板混凝土与底板混凝土错开一个节段施工。每次同时浇筑第N-1节段砼顶板和第N节段砼底板混凝土,因此,当N-1节段底板浇筑完毕时,N-1节段的顶板尚未浇筑,需要单独浇筑。施工时,挂篮原地就位不动,只需将顶板模板从N-2节段前移至N-1节段即可。In
具体的,步骤1中,N-1节段砼顶板施工包括:桥梁合拢段两侧N-1节段砼顶板模板就位,绑扎合拢段两侧N-1节段砼顶板钢筋,并浇筑合拢段两侧N-1节段砼顶板钢筋砼、养护。Specifically, in
需要注意的是:顶板钢筋绑扎前,要确保波纹管位置准确;在波纹管附近进行焊接操作时,需用模板或者薄钢板隔挡防护,防止焊接火花烧伤预应力波纹管或者引起波纹管变形,引起后续工序无法正常进行。It should be noted that before tying the steel bars on the top plate, ensure that the position of the bellows is accurate; when welding near the bellows, it is necessary to use a template or a thin steel plate for protection to prevent welding sparks from burning the prestressed bellows or causing the bellows to deform. Cause subsequent processes can not be carried out normally.
横向穿过钢腹板的顶板钢筋,起到将钢筋砼与钢腹板的连接作用,不得随意断开,安装位置精确。锚具位置的环形加强钢筋,需与锚具同心同轴设置。The top plate reinforcement crossing through the steel web plays the role of connecting the reinforced concrete and the steel web, and shall not be disconnected at will, and the installation position is accurate. The annular reinforcing steel bar at the anchorage position shall be set concentrically and coaxially with the anchorage.
在进行砼浇筑环节,为保障连续,混凝土入仓方式采用泵送入仓。塔吊配合人工移动出料泵管均匀布料。人工插入式振捣,终凝后人工拉毛。混凝土终凝之后即采用土工布或者棉被覆盖在混凝土面上,洒水保湿养护。锚具位置附近混凝土重点养护。In the process of concrete pouring, in order to ensure continuity, the concrete is put into the warehouse by pumping into the warehouse. The tower crane cooperates with the manual movement of the discharge pump pipe to distribute the material evenly. Artificial insertion vibration, artificial napping after final coagulation. After the concrete is finally set, it is covered with geotextiles or quilts on the concrete surface, and sprinkled with water for moisturizing and curing. The concrete near the anchor position should be mainly maintained.
进一步的,N节段钢腹板安装包括以下步骤:Further, the installation of N-segment steel web includes the following steps:
步骤2.1:测量合拢段两侧悬臂端钢腹板的精确位置;复核合拢段钢腹板的长度尺寸、高度尺寸、螺栓孔位置;确保合拢段钢腹板的几何尺寸相对应,螺栓孔位置准确;需要注意的是:N节段钢腹板在吊装前需要完成钢腹板上螺栓连接摩擦面打磨处理工作,修整螺栓孔内的毛刺、污物;对钢腹板搭接面及焊接部位两侧3~5cm范围内进行打磨,确保光滑平整。Step 2.1: Measure the precise position of the steel webs at the cantilever ends on both sides of the closing section; double check the length, height, and bolt hole positions of the steel webs in the closing section; ensure that the geometric dimensions of the steel webs in the closing section correspond to each other, and the positions of the bolt holes are accurate ; It should be noted that: before the hoisting of the steel web of the N segment, the friction surface of the bolt connection on the steel web needs to be polished, and the burrs and dirt in the bolt holes should be trimmed; Grinding within 3-5cm from the side to ensure smoothness.
钢腹板安装前准备好手拉葫芦、支撑、临时支架、吊装设备等。Prepare hand chain hoists, supports, temporary brackets, hoisting equipment, etc. before steel web installation.
采用平板车将钢腹板从临时堆放点运至墩底,然后采用塔吊将钢腹板从墩底吊运至工作面,最后用挂篮上龙门吊在工作面吊装就位。Use a flatbed truck to transport the steel web from the temporary stacking point to the bottom of the pier, then use a tower crane to lift the steel web from the bottom of the pier to the working face, and finally use the gantry crane on the hanging basket to hoist it in place on the working face.
步骤2.2:通过挂篮上龙门吊在工作面吊装就位,将对应位置的钢腹板起吊至对接位置,通过螺栓实现临时固定;注意全桥螺栓安装穿入方向一致,其轴线需垂直于钢板表面。优选的,步骤2.2完成波形钢腹板大面的螺栓固定后,再进行波形钢腹板的钢底板、顶板PBL键的焊接固定。Step 2.2: Use the gantry crane on the hanging basket to hoist in place on the working face, lift the steel web at the corresponding position to the docking position, and temporarily fix it with bolts; note that the bolts of the whole bridge are installed in the same direction, and their axes must be perpendicular to the surface of the steel plate . Preferably, in step 2.2, after completing the bolt fixing of the large surface of the corrugated steel web, the welding and fixing of the PBL key of the steel bottom plate and the top plate of the corrugated steel web are carried out.
合拢段的桥梁受力主要由波形钢腹板顶部的PBL剪力键和钢底板承受。The force of the bridge in the closed section is mainly borne by the PBL shear key on the top of the corrugated steel web and the steel bottom plate.
合拢段钢腹板焊接操作时间段应为全天最低气温时间段。The welding operation period of the steel web in the closing section shall be the period of the lowest temperature throughout the day.
步骤2中,N节段砼底板安装和N节段砼顶板安装具体包括如下步骤:In
步骤2.3:合拢段(N节段)砼底板模板就位;绑扎合拢段(N节段)砼底板钢筋;浇筑合拢段(N节段)砼底板钢筋砼;Step 2.3: Put the formwork of the concrete floor of the closing section (N section) in place; bind the reinforcement of the concrete floor of the closing section (N section); pour the reinforced concrete of the concrete floor of the closing section (N section);
步骤2.4:合拢段(N节段)砼顶板模板就位;N-1节段砼顶板预应力筋张拉及灌浆;绑扎合拢段(N节段)砼顶板钢筋;浇筑合拢段(N节段)砼顶板钢筋砼;即完成了全桥合拢。Step 2.4: The concrete roof template of the closing section (N section) is in place; the prestressed tendons of the concrete roof of the N-1 section are stretched and grouted; the concrete roof reinforcement of the closing section (N section) is bound; the closing section (N section) is poured ) Concrete roof reinforced concrete; that is, the whole bridge is closed.
底模板应平整、干净、抛光。悬吊模板的杆件必须满足受力要求,且紧固模板与混凝土底板、钢腹板底板应密贴,存在缝隙的地方应用木条或者泡沫胶密封。The bottom template should be flat, clean and polished. The rods of the suspended formwork must meet the force requirements, and the fastening formwork should be closely attached to the concrete bottom plate and steel web bottom plate, and wooden strips or foam glue should be used to seal the gaps.
预应力钢绞线预埋波纹管道两端应与N-1节段预留接头顺接、同心、同轴、密封,管道线型为直线,各管道之间互相平行。严禁弯折、压扁、存在缝隙。The two ends of the pre-stressed steel strand pre-embedded corrugated pipe should be connected to the reserved joint of N-1 section, concentric, coaxial, and sealed. The line type of the pipe is a straight line, and the pipes are parallel to each other. Bending, flattening and gaps are strictly prohibited.
两层钢筋之间的拉钩方向与底板面垂直,两端连接处紧固,无松动。拉钩与纵横向钢筋绑扎牢固。The direction of the hook between the two layers of steel bars is perpendicular to the bottom surface, and the joints at both ends are fastened without looseness. The pull hook is bound firmly with the vertical and horizontal steel bars.
因合拢段底板宽6.4m,长度仅3.2m,浇筑顺序为从四周往中间浇筑。Since the bottom plate of the closing section is 6.4m wide and only 3.2m long, the pouring sequence is from the four sides to the middle.
将合拢段两边某一侧N-1节段的顶模板前移至合拢段作为合拢段顶板模板。Move the top template of the N-1 segment on one side of the closing section forward to the closing section as the top plate template of the closing section.
梁体翼缘板底模板支撑方式:将精轧螺纹钢从N-1节段砼顶板预留孔穿下去,与模板纵梁连接牢固,起到承重作用。The support method of the formwork at the bottom of the flange plate of the beam body: the fine-rolled rebar is passed through the reserved hole of the concrete roof of the N-1 section, and it is firmly connected with the longitudinal beam of the formwork to play a load-bearing role.
箱梁顶板中间部分模板支撑方式:可用20工字钢作为立柱,以两边N-1节段底板作为受力基础,竖向支撑模板纵梁,起到承重作用。Formwork support method for the middle part of the box girder roof: 20 I-beams can be used as columns, and the N-1 section bottom plates on both sides are used as the force-bearing foundation to vertically support the formwork longitudinal beams to play a load-bearing role.
钢绞线应使用砂轮机切割,严禁用氧气乙炔或者电焊切割。Steel strands should be cut with a grinder, and oxyacetylene or electric welding is strictly prohibited.
待砼强度≥90%设计强度且龄期>7天时完成张拉施工。The tensioning construction is completed when the concrete strength is ≥90% of the design strength and the age is >7 days.
其中实施例1和实施例2的施工过程区别仅在于实施例2的合拢段施工过程中,省略了劲性骨架的临时架设。Wherein the difference between the construction process of
受力分析Force analysis
分别对实施例1和实施例2的两种施工方式的合拢段分别进行建模分析:Carry out modeling analysis respectively to the closure section of two kinds of construction modes of
具体包括:Specifically include:
1、物理建模1. Physical modeling
两个主墩高度分别为86m和93m。在两个0#号块产生同样位移变形值时,较矮的墩需要的推力更大,所以,这里选择86m高墩进行计算分析更具代表性。The heights of the two main piers are 86m and 93m respectively. When the two 0# blocks produce the same displacement and deformation value, the shorter pier needs more thrust, so it is more representative to choose the 86m high pier for calculation and analysis here.
由于主墩与承台和0#号块都是刚性连接,第一种建模方法:将一个单支墩视为一个杆件,将双肢墩和0#号块视为一“门型”钢架。第二种建模方法:将一个主墩单幅的两个支墩视为空心横截面的悬臂杆件。Since the main pier is rigidly connected to the cap and the 0# block, the first modeling method: treat a single support pier as a bar, and regard the double-leg pier and the 0# block as a "door type" steel frame. The second modeling method: treat the two supporting piers of a single main pier as a cantilever member with a hollow cross section.
2、梁体在温度变化状态下伸缩量计算2. Calculation of the expansion and contraction of the beam body under the state of temperature change
由于该桥为刚构桥,0#号块处无支座,以中跨合拢段劲性骨架为例,施工过程中,主要抵抗悬臂段因为温度变化而产生的拉压应力,弯拉和剪切应力可以忽略不计。Since the bridge is a rigid frame bridge, there is no support at
将劲性骨架安装时间确定在凌晨04:00点左右,气温最低,梁体收缩至最短。劲性骨架固定后,主要承受沿桥梁纵向的压应力。因此,考虑升温状态下劲性骨架的抗压应力与抗压应变,不考虑降温状况下的抗拉应力与抗拉应变。The installation time of the rigid frame is determined at around 04:00 in the morning, when the temperature is the lowest and the beam shrinks to the shortest. After the rigid frame is fixed, it mainly bears the compressive stress along the longitudinal direction of the bridge. Therefore, the compressive stress and compressive strain of the stiff skeleton at elevated temperature are considered, and the tensile stress and tensile strain at low temperature are not considered.
合拢之前,主跨由于温度变化引起的伸缩量为:Before closing, the expansion and contraction of the main span due to temperature changes is:
ΔL=a·ΔT·LΔL=a·ΔT·L
=0.00001m/(℃·m)×20℃×56.9m=0.00001m/(℃·m)×20℃×56.9m
=0.01138m=0.01138m
=11.38mm=11.38mm
其中:ΔL——温度变化总伸缩量。Among them: ΔL——the total expansion and contraction of temperature change.
a——混凝土梁体线膨胀系数,取0.00001(按照设计规范附录取值);a——Concrete beam body linear expansion coefficient, take 0.00001 (take the value according to the appendix of the design specification);
ΔT——合拢段施工期间昼夜最大温差,实测为20℃;ΔT——The maximum temperature difference between day and night during the construction period of the closing section, the actual measurement is 20°C;
L——为悬臂段最大长度,取两主墩间净距扣除合拢段后长度的一半,为(125m(主跨径)-2×4m(主墩边缘轮廓线到0#号块横向中心轴垂直距)-3.2m(合拢段长度))/2=56.9m。L——Maximum length of the cantilever section, half of the length after deducting the closing section from the clear distance between the two main piers, is (125m (main span) - 2×4m (edge contour line of the main pier to the transverse central axis of
3、抵抗应力计算3. Calculation of resistance stress
按照上述两种建模方法分别进行计算。The calculations are carried out according to the above two modeling methods.
若按照第一种建模方法,将一个单支墩视为一个杆件,将双肢墩和0#号块视为一“门型”钢架则产生1mm位移所需的力:If according to the first modeling method, a single pier is regarded as a rod, and the double-leg pier and the 0# block are regarded as a "door-shaped" steel frame, the force required to generate a displacement of 1mm is:
式中:f1——引起“门型”钢架0#号块产生1mm纵向水平位移所需的力(KN/mm)。In the formula: f 1 ——the force (KN/mm) required to cause the 0# block of the “door-shaped” steel frame to produce a 1mm longitudinal and horizontal displacement.
E——C40混凝土弹性模量:32.5GPa。E——C40 concrete elastic modulus: 32.5GPa.
I1——双肢墩单幅对I 1 ——Single pair of two-leg piers
0#号块横向中心线的惯性矩,6.75m×(2.5m)3/12=8.789m4。The moment of inertia of the horizontal centerline of
h——双肢墩高:86m。h - the height of the pier with both limbs: 86m.
则劲性骨架需要承受的力为:Then the force that the stiff skeleton needs to bear is:
F1=f1·ΔLF 1 =f 1 ·ΔL
=5.39KN/mm×11.38mm=5.39KN/mm×11.38mm
=61.34KN.=61.34KN.
若按照第二种建模方法,将一个单支墩视为一个杆件,将一个主墩单幅的两个支墩视为一个空心横截面的悬臂杆件,则使0#号块产生1mm位移所需的力为:If according to the second modeling method, a single support pier is regarded as a member, and the two supports of a single main pier are regarded as a cantilever member with a hollow cross section, then the 0# block produces 1mm The force required for displacement is:
式中:f2——引起杆件悬臂端头产生1mm纵向水平位移所需的力(KN/mm)。In the formula: f 2 ——the force (KN/mm) required to cause the cantilever end of the rod to produce 1mm longitudinal and horizontal displacement.
E——C40混凝土弹性模量:32.5GPa。E——C40 concrete elastic modulus: 32.5GPa.
I2——悬臂杆件的惯性矩,6.75m×(83-33)m3/12=272.8125m4。I 2 ——the moment of inertia of the cantilever member, 6.75m×(8 3 -3 3 )m 3 /12=272.8125m 4 .
h——双肢墩高:86m。h - the height of the pier with both limbs: 86m.
则劲性骨架需要承受的力为:Then the force that the stiff skeleton needs to bear is:
F2=f2·ΔLF 2 =f 2 ·ΔL
=41.82KN/mm×11.38mm=41.82KN/mm×11.38mm
=475.91KN。=475.91KN.
依据两种方法计算结果可知,F2远远大于F1。为保险可靠,此处取F2进行验算。According to the calculation results of the two methods, it can be seen that F 2 is much larger than F 1 . To be safe and reliable, take F2 here for checking calculation.
4、波形钢腹板应力验算4. Check calculation of corrugated steel web stress
合拢段钢腹板立面如图7所示。合拢段钢腹板立体结构示意图如图8所示。The elevation of the closed steel web is shown in Figure 7. The schematic diagram of the three-dimensional structure of the closed steel web is shown in Figure 8.
由于钢腹板合拢焊接后,波形钢腹板的大面31主要承担抗剪荷载,承担桥梁纵向弯拉荷载和拉压荷载的作用较小,因此此处对钢腹板在桥梁纵向抗压中的作用忽略不计,由温度升高引起劲性骨架的压应力主要由钢腹板的上翼缘板(PBL剪力键32)和钢底板33承担。After the steel web is closed and welded, the
箱梁两侧波形钢腹板纵向抗压横断面总面积为:The total area of the longitudinal compressive cross-section of the corrugated steel web on both sides of the box girder is:
A=(A上翼缘板+A底板)×2侧A = (A upper flange plate + A bottom plate ) × 2 sides
=(42cm×2.5cm+80cm×2.5cm)×2=(42cm×2.5cm+80cm×2.5cm)×2
=(105+200)×2cm2 =(105+200)×2cm 2
=610cm2 =610cm 2
式中:A上翼缘板——钢腹板上翼缘板抗压面积;In the formula: A upper flange plate —the compressive area of the flange plate on the steel web;
A底板——钢腹板底板抗压面积。A bottom plate —the compression area of the steel web bottom plate.
则波形钢腹板作为劲性骨架时承受的应力为:Then the stress borne by the corrugated steel web as the stiff skeleton is:
[σ]——钢腹板的抗压弹性模量:340MPa。[σ]——The compressive modulus of elasticity of the steel web: 340MPa.
验算结果表明,优化设计,采用波形钢腹板3代替劲性骨架6,应力满足规范要求。The checking calculation results show that the optimized design uses the
5、采用波形钢腹板作为劲性骨架应变验算5. Using corrugated steel webs as the rigid skeleton strain checking calculation
温度上升20℃时,波形钢腹板3应变为:When the temperature rises by 20°C, the strain of the
ε——波形钢腹板因为温度变化而产生的应变。ε——strain of corrugated steel web due to temperature change.
F——温度上升时钢腹板需要承受的内力。F——The internal force that the steel web needs to withstand when the temperature rises.
A——钢腹板横断面积。A—the cross-sectional area of the steel web.
E——钢材抗压弹性模量:200000MPa。E——Steel compressive modulus of elasticity: 200000MPa.
[ε]为混凝土极限变形。[ε] is the ultimate deformation of concrete.
验算结果表明,优化设计,采用波形钢腹板代替劲性骨架,应变满足规范要求。The calculation results show that the optimal design, using corrugated steel webs instead of the stiff frame, the strain meets the requirements of the code.
对上述两种方法的造价进行对比:Compare the cost of the above two methods:
原设计中劲性骨架需钢材总量66T,造价42万元左右。The original design of the rigid frame requires a total of 66 tons of steel, and the cost is about 420,000 yuan.
设计优化后,取消原设计的劲性骨架,节约钢材66T,降低造价42万元左右。由于钢腹板为箱梁永久结构,安装工序为原设计箱梁施工工作内容,设计优化后没有增加工作内容,也没有增加其他成本,因此,设计优化直接节约成本42万元左右。After the optimization of the design, the rigid skeleton of the original design was canceled, 66 tons of steel materials were saved, and the cost was reduced by about 420,000 yuan. Since the steel web is a permanent structure of the box girder, the installation process is the content of the original design of the box girder construction work. After the design optimization, there is no increase in work content or other costs. Therefore, the design optimization directly saves about 420,000 yuan in cost.
原设计临时劲性骨架主要施工工序包含:钢筋预埋、钢板焊接、14b槽钢焊接、40b槽钢焊接。全桥劲性骨架安装施工工期6天。The main construction process of the original design temporary rigid frame includes: pre-embedding of steel bars, welding of steel plates, welding of 14b channel steel, and welding of 40b channel steel. The construction period for the installation of the stiff frame of the whole bridge is 6 days.
设计方案优化后,取消原设计的临时劲性骨架安装施工工序,满足受力要求,合拢段施工工序大大减少,显著简化了合拢段施工步骤,缩短工期6天,降低施工成本。After the optimization of the design scheme, the installation and construction process of the temporary rigid frame in the original design was canceled to meet the force requirements, the construction process of the closing section was greatly reduced, the construction steps of the closing section were significantly simplified, the construction period was shortened by 6 days, and the construction cost was reduced.
本发明对波形钢腹板现浇连续梁桥,依据力学分析,通过在某省1#大桥合拢段施工工程实践,取消原设计的劲性骨架,采用波形钢腹板代替劲性骨架,优化了设计,降低了造价,简化了工序,加快了进度,结构应力、应变满足规范要求,质量和功能满足设计要求,为同类型施工提供参考和借鉴。According to mechanical analysis, the present invention cancels the originally designed rigid frame and uses corrugated steel web instead of the rigid frame through the construction engineering practice in the closing section of the 1# bridge in a certain province based on mechanical analysis. The design reduces the cost, simplifies the process, and speeds up the progress. The structural stress and strain meet the specification requirements, and the quality and function meet the design requirements, providing reference and reference for similar types of construction.
以上所述仅为本发明的较佳实施例而已,并不用以限制本发明,凡在本发明的精神和原则之内所作的任何修改、等同替换和改进等,均应包含在本发明的保护范围之内。The above descriptions are only preferred embodiments of the present invention, and are not intended to limit the present invention. Any modifications, equivalent replacements and improvements made within the spirit and principles of the present invention should be included in the protection of the present invention. within range.
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