WO2024031852A1 - Method for calculating manufacture inclination angle of end face of large-segment steel box girder - Google Patents
Method for calculating manufacture inclination angle of end face of large-segment steel box girder Download PDFInfo
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- WO2024031852A1 WO2024031852A1 PCT/CN2022/129591 CN2022129591W WO2024031852A1 WO 2024031852 A1 WO2024031852 A1 WO 2024031852A1 CN 2022129591 W CN2022129591 W CN 2022129591W WO 2024031852 A1 WO2024031852 A1 WO 2024031852A1
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- the invention belongs to the field of construction, and in particular relates to a method for calculating the manufacturing inclination angle of the end face matching section of a large-section steel box girder.
- the beam segments to be assembled usually adopt construction methods such as crane suspension assembly and pushing.
- the overall rotation and translation in space can be used to match the end faces; if the ends of the matching openings are
- the beam sections belong to different structural systems.
- forced closing methods such as weight pressing and cable adjustment can be used.
- the length of the large-segment steel box girders to be matched can usually reach more than 100 meters. During the installation process, the corner deformation is large, but the lifting stroke of the positioning jack at the top of the pier is limited.
- the technical problem to be solved by the present invention is to solve the problem of calculating the manufacturing inclination angle of the matching section of the large-section steel box girder by adopting the staged formal installation calculation method during the construction process of the large-section steel box girder, and provides a large-section steel box girder.
- the calculation method of the manufacturing inclination angle of the steel box girder end face matching section is proposed.
- the curvature compensation method for the calculation of the manufacturing inclination angle of the end face of the steel box girder is proposed.
- the concept of elevation compensation in the conventional pre-camber setting in bridge engineering is extended to the curvature compensation level.
- the present invention provides a method for calculating the manufacturing inclination angle of the end face of a large-section steel box girder, including:
- Step 1 Suppose the matching sections of adjacent large-section steel box beams are C - and C + sections, and the manufacturing inclination angles of the end faces C - and C + sections of adjacent large-section steel box beams are ⁇ i- and ⁇ i- , Using the properties of the large section steel box girder section, we get
- Step 2 Use the properties of the end surface curvature of the large-segment steel box girder and combine it with the formula in step 1 to obtain the manufacturing inclination angle of the adjacent large-segment steel box girder matching the welding section position is the cumulative curvature change of section C from welding to bridge formation;
- Step 3 The manufacturing inclination angle ⁇ i determines the curvature of the large-segment manufacturing line at section C This curvature begins to change and increment under various working conditions under the action of temporary construction load, structural self-weight and second-stage dead load after welding.
- n is the number of working conditions until the bridge state is reached and the curvature K i at section C reaches the designed bridge curvature. That is, based on the principle of compensation, there are:
- the manufacturing inclination angle ⁇ i of the adjacent large segment matching opening in the manufacturing line is essentially a curvature compensation at the cross-sectional position
- Step 4 Establish the formal assembly finite element model of the large-stage steel box girder. Since the ends of the large segments are from the stress-free state to the matching welded state, they are all free ends of simply supported beams, and the bending moment is zero, so the cross-section C at the matching mouth The bridge bending moment is the bending moment increment of the section from welding to the bridge, then combine have to
- Step 5 Based on the manufacturing inclination angle ⁇ i , it is essentially a curvature compensation at the cross-section position, and assuming that after large segments are matched, the matching surface nodes, their front nodes, and rear nodes are affected by the temporary load during construction, the self-weight of the structure, and the second-phase constant. Under the action of load, etc., the opposite values of the cumulative deflection produced in each working condition are ⁇ i , ⁇ i-1 , ⁇ i+1 respectively, then there are:
- ⁇ and ⁇ are the relative values of the slope changes of the small-segment steel box girders in front and behind the large-segment matching front, and L 1 and L 2 are the steel box girder segment lengths of two adjacent large-segment steel box girders respectively;
- ⁇ i is the horizontal angle difference caused by the design vertical curve
- Hi -1 , Hi , Hi +1 are all node design elevations.
- step 1 we get The process includes:
- step 2 the expression of the cumulative curvature change of section C from welding to bridge formation is:
- step 5 in bridge engineering, the method of direct substitution is often used for simplified manufacturing.
- the neutral axis of the steel box girder is not a smooth curve, so a three-node geometry matching the surface node and its front and rear nodes can be established.
- the model is used to simplify the calculation of the curvature compensation of the matching surface.
- step 6 is included: using the neutral axis as a reference and combining the manufacturing inclination angle, correct the length of the top and bottom plates of the steel box girder.
- the length correction amount of the top plate and bottom plate of the steel box girder segment is:
- Corrected length for base plate is the distance from the top of the steel box girder to the neutral axis, is the distance from the base plate to the neutral axis.
- it also includes the step of: based on the length of the neutral axis, after considering the correction of the length of the top plate and the bottom plate, obtain the actual manufacturing length of the top and bottom plates of the steel box girder required for manufacturing lofting.
- ⁇ i is the horizontal angle difference caused by the designed vertical curve
- Corrected length for neutral axis is the corrected neutral axis length.
- the present invention can at least achieve the following beneficial effects:
- This method starts from the stress-free manufacturing geometry of steel box girders and proposes a curvature compensation method for calculating the manufacturing inclination angle of the end face of large-section steel box girders, extending the concept of elevation compensation in conventional pre-camber settings in bridge engineering to include curvature
- the compensation level is used to solve the core problem of calculating the manufacturing inclination angle of the end face of large-segment steel box girders, and realize the end-face matching when installing adjacent large-segment steel box girders; and then the geometric relationship between the manufacturing inclination angle and the neutral axis can be used to control the steel box girder.
- the lengths of the top and bottom plates of the box beams are corrected.
- Figure 1 is a method for calculating the manufacturing inclination angle of the end face of a large-segment steel box girder in an embodiment of the present invention, and is a geometric diagram of the stress-free manufacturing of adjacent large-segment steel box girder;
- Figure 2 is a schematic diagram of matching welding of adjacent large-section steel box beams using a method for calculating the manufacturing inclination angle of the end face of a large-section steel box beam in an embodiment of the present invention
- Figure 3 is a schematic diagram of the curvature change of a large-section steel box girder using a method for calculating the manufacturing inclination angle of the end face of a large-section steel box girder in an embodiment of the present invention
- Figure 4 is a schematic diagram of the curvature compensation method of a large-section steel box girder end face manufacturing inclination angle in an embodiment of the present invention
- Figure 5 is a simplified calculation schematic diagram of a method for calculating the manufacturing inclination angle of the end face of a large-segment steel box girder in an embodiment of the present invention
- Figure 6 is a diagram showing the influence of the designed vertical curve on the calculation of the manufacturing inclination angle of a large-segment steel box girder end face manufacturing inclination angle calculation method in the embodiment of the present invention
- Figure 7 is a schematic horizontal projection of a partial steel box girder using a method for calculating the manufacturing inclination angle of the end face of a large segment steel box girder in an embodiment of the present invention
- Figure 8 is a schematic diagram of a method for calculating the manufacturing inclination angle of the end face of a large-section steel box girder in an embodiment of the present invention, and a schematic diagram of the partial length correction of the top and bottom plates of the steel box girder;
- Figure 9 is a step diagram of a method for calculating the inclination angle of the end face of a large-section steel box girder in an embodiment of the present invention.
- the invention provides a method for calculating the manufacturing inclination angle of the end face of a large-section steel box girder, which includes the following steps:
- Step 1 Assume that the matching sections of adjacent large-section steel box beams are sections C - and C + , and the angles between the tangents of the neutral axis curves of sections C - and C + and the horizontal plane are respectively From the stress-free state during manufacturing to before matching welding, the angle between sections C - and C + due to rotational deformation
- the changes are respectively The included angles caused by subsequent types of loads from matching welding to the final bridge state
- the changes are respectively During the entire construction process
- the cumulative change in They are:
- Step 2 Suppose the angle between the end faces C - and C of adjacent large-section steel box beams and the vertical line is ⁇ i- , ⁇ i+ , and set the end faces C - and C of adjacent large-section steel box beams. + The manufacturing inclination angle of the section is ⁇ i- , ⁇ i- , as shown in Figure 2, when the large-section steel box girder is manufactured in a stress-free state, the angle between the end face C - , C + the web and the plumb line Satisfy respectively:
- Step 3 To ensure that the end faces of adjacent large-section steel box beams automatically match under matching welding conditions, the C + and C - end faces are required to be parallel to each other, that is, Substituting into equation (3) we have:
- Step 4 After the large-section steel box girder is welded, C + and C - form the overall section C. As shown in Figure 3, the cumulative curvature change of section C from welding to the completion of the bridge It can be determined by the angle difference between the tangent line of the front and rear neutral axis curve and the horizontal plane. To represent:
- Equation (6) shows that: as long as the manufacturing inclination angle ⁇ i of the large segment end face and the change in curvature of the end face from welding to bridge formation are ensured, On the contrary, it can ensure that the end faces of adjacent large-section steel box beams automatically match under matching welding conditions.
- Step 5 The manufacturing inclination angle ⁇ i has determined the curvature of the large-segment manufacturing line at section C. This curvature begins to change and increment under various working conditions under the action of temporary construction load, structural self-weight and second-stage dead load after welding. n is the number of working conditions until the bridge state is reached and the curvature K i at section C reaches the designed bridge curvature. That is based on the principle of compensation:
- the manufacturing inclination angle ⁇ i of the adjacent large segment matching opening in the manufacturing line is essentially a curvature compensation at the cross-sectional position.
- Step 6 Establish the formal assembly finite element model of the large-stage steel box girder. Since the ends of the large sections are from the stress-free state to the matching welded state, they are all free ends of simply supported beams, and the bending moment is zero. Therefore, the cross-section C at the matching mouth The bridge bending moment is the bending moment increment of the section from welding to the bridge.
- Curvature the value is equal to the value of the manufacturing inclination
- the end face manufacturing inclination angles of two adjacent large sections can be calculated according to formula (10) based on the bridge bending moment at the matching section position of the adjacent large section steel box girder.
- bridge engineering is often simplified by the straight-to-curve method, and the neutral axis of the steel box girder is not a smooth curve. Therefore, a three-node geometric model of the matching surface node and its front and back nodes can be established to simplify the calculation of the curvature compensation of the matching surface.
- Step 7 Assume that after the large segments are matched, the opposite values of the cumulative deflections produced by the matching surface nodes and their front and rear nodes under each working condition under the action of the temporary construction load, the self-weight of the structure and the second-stage dead load, etc. are respectively ⁇ i , ⁇ i-1 , ⁇ i+1 , there are:
- L 1 and L 2 are the lengths of steel box girder segments of two adjacent large segment steel box girder respectively;
- ⁇ and ⁇ are the relative values of the slope change of the small-segment steel box girder behind and behind the large-segment matching surface, which can approximately represent the curvature change at the matching surface. Therefore, the simplified formula for calculating the stress-free manufacturing inclination angle of the large-segment end face can be taken as :
- the matching port of the large-segment steel box girder is in the form of a single slope in the designed bridge alignment.
- the matching port may actually be in a vertical curve in the designed alignment.
- the influence of the initial curvature in the designed linear vertical curve is taken into account.
- the calculation formula for the stress-free manufacturing inclination of the large segment end face is:
- ⁇ i is the horizontal angle difference caused by the design vertical curve
- Hi -1 , Hi , Hi +1 are all node design elevations.
- Step 8 the length of the steel box girder given in the design drawings is the horizontal projection length of the design line at the reference temperature.
- the oblique length correction needs to be made during actual manufacturing.
- the horizontal projected length of the large steel box girder segments of the bridge is based on the base plate, that is, the bridge status can be calculated through the mileage station number and design elevation in the design drawings.
- the length of the bottom plate of the steel box girder is the horizontal projection length of the design line at the reference temperature.
- ⁇ i is the horizontal angle difference caused by the designed vertical curve
- Corrected length for neutral axis is the corrected neutral axis length.
- Step 9 As shown in Figure 8, in order to achieve matching and continuous connection of adjacent segments, it is necessary to use the neutral axis as the benchmark, combined with the inclination angle of the end face of the large-section steel box girder calculated previously, and calculate the length of the top and bottom plates of the steel box girder. Correction is made. When the steel box girder adopts two-end correction, the correction amount of the top and bottom plate lengths of the steel box girder segments is:
- Corrected length for base plate Corrected length for steel box girder top; is the distance from the top of the steel box girder to the neutral axis, is the distance from the base plate to the neutral axis.
- the calculation of the length correction of the top and bottom plates of the steel box girder is also the same.
- the difference from the matching end face manufacturing inclination angle of the large segment steel box girder is that the small segment steel box girder
- the manufacturing inclination angle ⁇ i of the end face of the steel box girder segment can be calculated directly from the horizontal angle difference between the manufacturing lines of adjacent small segment steel box girder manufacturing lines.
- the calculation method of the end face manufacturing inclination angle of a large-segment steel box girder shown in Figures 1, 2, and 3 is a stress-free manufacturing geometry diagram of adjacent large-segment steel box girder, and a schematic diagram of matching welding of adjacent large-segment steel box girder. and a schematic diagram of the curvature change of the large-segment steel box girder.
- the formula can be obtained based on the characteristics of the matching cross-section of the large-segment steel box girder and the corresponding formula; That is, as long as the manufacturing inclination angle of the large segment end face is opposite to the curvature change of the section from welding to bridge completion, it can be ensured that the end faces of adjacent large segment steel box girder automatically match under matching welding conditions.
- a method for calculating the manufacturing inclination angle of the end face of a large-segment steel box girder is shown in Figure 4.
- Figure 4 A schematic diagram of the curvature compensation of a large-segment steel box girder. According to the characteristics and corresponding formulas of the matched sections of the large-segment steel box girder, the manufacturing line shape is obtained.
- the cutting angle of the matching opening of the adjacent large segment is essentially a curvature compensation at this cross-sectional position.
- the calculation method for the manufacturing inclination angle of the end face of a large-segment steel box girder is the influence diagram of the designed vertical curve on the calculation of the manufacturing inclination angle and the horizontal projection schematic diagram of the local steel box girder.
- the cumulative value can be calculated by the finite element formal model.
- the deflection value is used to calculate the relative value of the slope change of the small-section steel box girder behind and behind the large-section matching face, the stress-free cutting angle of the large-section end face, and the manufacturing inclination angle caused by the designed vertical curve.
- FIG 7 is a schematic diagram of the horizontal projection of a local steel box girder. Based on the design drawings and the assumption of a flat section, it can be calculated that the vertical curve of the end face of a large-segment steel box girder is caused by The horizontal angle difference and the length of the neutral axis corrected by the horizontal angle difference caused by the vertical curve.
- a calculation method for the manufacturing inclination angle of the end face of a large-segment steel box girder is a schematic diagram of the partial length correction of the top and bottom plates of the steel box girder. According to the manufacturing inclination angle and vertical curve of the end face of the large-segment steel box girder obtained in the previous steps, The horizontal angle difference can be used to calculate the manufacturing lofting length of the top and bottom plates of large-section steel box beams.
- This method starts from the stress-free manufacturing geometry of steel box girders and proposes a curvature compensation method for calculating the manufacturing inclination angle of the end face of large-section steel box girders, extending the concept of elevation compensation in conventional pre-camber settings in bridge engineering to include curvature
- it can easily solve the problem of calculating the inclination angle of the end face of large-section steel box girders, and achieve end-face matching when installing adjacent large-section steel box girders; furthermore, through the geometric relationship between the manufacturing inclination angle and the neutral axis, it can also The length of the top and bottom plates of the steel box girder can be further modified.
- the present invention can be realized.
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Abstract
A method for calculating a manufacture inclination angle of an end face of a large-segment steel box girder. The method comprises: obtaining aa by utilizing the properties of a section of a large-segment steel box girder; obtaining a manufacture inclination angle bb of a matched welding section position of adjacent large-segment steel box girders, wherein KΔ
i is an accumulated curvature variation of a section C from welding to bridge forming; a manufacture inclination angle γi of adjacent large-segment matching openings in a manufacturing line shape essentially being a curvature compensation at the section position; and establishing a forward-installation finite element model of the large-segment steel box girder, and obtaining a simplified large-segment end face stress-free manufacture inclination angle calculation formula. The concept of elevation compensation in conventional pre-camber setting in bridge engineering is expanded to a curvature compensation level, so as to solve the core problem of calculating a manufacture inclination angle of an end face of a large-segment steel box girder, and to realize end-face matching during the installation of adjacent large-segment steel box girders.
Description
本发明属于施工领域，尤其涉及一种大节段钢箱梁端面匹配截面制造倾角的计算方法。The invention belongs to the field of construction, and in particular relates to a method for calculating the manufacturing inclination angle of the end face matching section of a large-section steel box girder.
对于桥梁工程中的常规钢箱梁节段而言，待拼装梁段通常采取吊机悬拼、顶推等工法，可对其采取空间上的整体旋转、平移进行端面匹配；若匹配口两端的梁段分属不同的结构体系，如双塔斜拉桥的跨中合龙，则可采取压重、调索等强制合龙方式。然而，大节段钢箱梁海上吊装焊接的工法的待匹配的大节段钢箱梁长度通常可达到百米以上，安装过程中转角变形较大，但墩顶处调位千斤顶的顶落行程不足30cm，完全不具备有效的梁体空间姿态调整条件，并且待匹配大节段钢箱梁通过牛腿装置搭接在已安装梁段的悬挑段，两者同属一个结构体系，压重等措施对匹配口处的八字口调整效果差同时存在临时应力超限的风险，不具备强制合龙的条件。传统的无应力状态法控制思路不再适用于指导整孔吊装施工的大节段钢箱梁制造。而需采用分阶段正装计算法，模拟实际施工过程计算结构累计变形，分别给出各大节段的制造线形(即各片大节段具有相互独立、不连续的无应力线形)。这种制造线形设置方法本质上是逐步正装法的应用，解决了成桥线形、内力与设计状态(逐步正装计算状态)能否保证一致的问题，但大节段钢箱梁匹配截面制造倾角的计算问题仍未解决，同样面临桥位现场大节段钢箱梁匹配困难。For conventional steel box girder segments in bridge engineering, the beam segments to be assembled usually adopt construction methods such as crane suspension assembly and pushing. The overall rotation and translation in space can be used to match the end faces; if the ends of the matching openings are The beam sections belong to different structural systems. For example, for the mid-span closing of a twin-tower cable-stayed bridge, forced closing methods such as weight pressing and cable adjustment can be used. However, in the construction method of offshore hoisting and welding of large-segment steel box girders, the length of the large-segment steel box girders to be matched can usually reach more than 100 meters. During the installation process, the corner deformation is large, but the lifting stroke of the positioning jack at the top of the pier is limited. Less than 30cm, there are no effective conditions for adjusting the spatial attitude of the beam body at all, and the large-section steel box beam to be matched is overlapped with the cantilever section of the installed beam section through the corbel device. Both belong to the same structural system, and the pressure, etc. The measures have poor adjustment effect on the splayed opening at the matching opening and there is a risk of temporary stress exceeding the limit, so the conditions for forced closure are not met. The traditional stress-free state method control idea is no longer suitable for guiding the manufacturing of large-section steel box girders during whole-hole hoisting construction. It is necessary to use the staged formal installation calculation method to simulate the actual construction process to calculate the cumulative deformation of the structure, and give the manufacturing line shapes of each large section (that is, each large section has independent and discontinuous stress-free line shapes). This manufacturing line setting method is essentially the application of the step-by-step erection method, which solves the problem of whether the bridge alignment, internal forces and design status (step-by-step erection calculation status) can be consistent. However, the manufacturing inclination of the matching section of the large-section steel box girder The calculation problem is still unresolved, and there are also difficulties in matching large-section steel box girders at the bridge site.
发明内容Contents of the invention
本发明要解决的技术问题是解决大节段钢箱梁施工过程中，采用分阶段正装计算方法，但是未解决大节段钢箱梁匹配截面制造倾角的计算问题，提供了一种大节段钢箱梁端面匹配截面制造倾角的计算方法，提出大节段钢箱梁端面制造倾角计算的曲率补偿法，将桥梁工程中常规的预拱度设置中高程补偿的概念拓展到了曲率补偿层面，以解决大节段钢箱梁端面制造倾角计算的核心问题，和实现相邻大节段钢箱梁安装时的端面匹配；进而还可以通过制造倾角与中性轴的几何关系，并且能够对钢箱梁顶、底板长度进行修正，并进行了相应的误差分析。The technical problem to be solved by the present invention is to solve the problem of calculating the manufacturing inclination angle of the matching section of the large-section steel box girder by adopting the staged formal installation calculation method during the construction process of the large-section steel box girder, and provides a large-section steel box girder. The calculation method of the manufacturing inclination angle of the steel box girder end face matching section is proposed. The curvature compensation method for the calculation of the manufacturing inclination angle of the end face of the steel box girder is proposed. The concept of elevation compensation in the conventional pre-camber setting in bridge engineering is extended to the curvature compensation level. Solve the core problem of calculating the manufacturing inclination angle of the end face of large-section steel box girders, and achieve end-face matching when installing adjacent large-section steel box girders; furthermore, the geometric relationship between the manufacturing inclination angle and the neutral axis can also be used, and the steel box can be adjusted The lengths of the beam top and bottom plate were corrected, and corresponding error analysis was conducted.
为实现本发明的目的，本发明提供的一种大节段钢箱梁端面制造倾角的计算方法，包括：In order to achieve the purpose of the present invention, the present invention provides a method for calculating the manufacturing inclination angle of the end face of a large-section steel box girder, including:
步骤1：设相邻大节段钢箱梁的匹配截面为C
-、C
+截面，相邻大节段钢箱梁端面C
-、 C
+截面的制造倾角为γ
i-、γ
i-，利用大节段钢箱梁截面的性质，得到
Step 1: Suppose the matching sections of adjacent large-section steel box beams are C - and C + sections, and the manufacturing inclination angles of the end faces C - and C + sections of adjacent large-section steel box beams are γ i- and γ i- , Using the properties of the large section steel box girder section, we get
步骤2：利用大节段钢箱梁端面曲率的性质，并结合步骤1中的公式得到相邻大节段钢箱梁匹配焊接截面位置的制造倾角
为截面C从焊接至成桥的累计曲率变化量；
Step 2: Use the properties of the end surface curvature of the large-segment steel box girder and combine it with the formula in step 1 to obtain the manufacturing inclination angle of the adjacent large-segment steel box girder matching the welding section position is the cumulative curvature change of section C from welding to bridge formation;
步骤3：制造倾角γ
i决定了大节段制造线形在截面C处的曲率
该曲率于焊接后开始在施工临时荷载、结构自重及二期恒载等的作用下，在各个工况不断产生变化增量
n为工况的数量，直至成桥状态，截面C处的曲率K
i达到了设计成桥曲率
即基于补偿原则，有：
Step 3: The manufacturing inclination angle γ i determines the curvature of the large-segment manufacturing line at section C This curvature begins to change and increment under various working conditions under the action of temporary construction load, structural self-weight and second-stage dead load after welding. n is the number of working conditions until the bridge state is reached and the curvature K i at section C reaches the designed bridge curvature. That is, based on the principle of compensation, there are:
式中：
分别为大节段匹配口截面的无应力曲率、曲率补偿量和设计曲率；
In the formula: They are the stress-free curvature, curvature compensation amount and design curvature of the large segment matching port section respectively;
在结构高程变化方面表现为：The changes in structural elevation are as follows:
可知，制造线形中相邻大节段匹配口的制造倾角γ
i本质上是在该截面位置的一种曲率补偿；
It can be seen that the manufacturing inclination angle γ i of the adjacent large segment matching opening in the manufacturing line is essentially a curvature compensation at the cross-sectional position;
步骤4：建立大阶段钢箱梁正装有限元模型，由于大节段从无应力状态至匹配焊接状态，其端部均为简支梁自由端，弯矩为零，故匹配口处截面C的成桥弯矩即为该截面从焊接至成桥的弯矩增量，则
结合
得
Step 4: Establish the formal assembly finite element model of the large-stage steel box girder. Since the ends of the large segments are from the stress-free state to the matching welded state, they are all free ends of simply supported beams, and the bending moment is zero, so the cross-section C at the matching mouth The bridge bending moment is the bending moment increment of the section from welding to the bridge, then combine have to
式中，
为匹配口处截面C的成桥弯矩，
为匹配口处截面C的成桥弯矩，
为截面从焊接至成桥的弯矩增量，EI为梁的抗弯刚度；
In the formula, is the bridge bending moment of section C at the matching opening, is the bridge bending moment of section C at the matching opening, is the bending moment increment of the section from welding to the completed bridge, EI is the bending stiffness of the beam;
步骤5：基于制造倾角γ
i本质上是在该截面位置的一种曲率补偿，并设大节段匹配后，其匹配面节点与其前节点、后节点在施工临时荷载、结构自重及二期恒载等的作用下，在各个工况产生的累计挠度的相反值分别为Δ
i，Δ
i-1，Δ
i+1，则有：
Step 5: Based on the manufacturing inclination angle γ i , it is essentially a curvature compensation at the cross-section position, and assuming that after large segments are matched, the matching surface nodes, their front nodes, and rear nodes are affected by the temporary load during construction, the self-weight of the structure, and the second-phase constant. Under the action of load, etc., the opposite values of the cumulative deflection produced in each working condition are Δ i , Δ i-1 , Δ i+1 respectively, then there are:
α、β是大节段匹配面前后的小节段钢箱梁斜率变化的相对值，L
1、L
2分别为两相邻大节段钢箱梁的钢箱梁段长度；
α and β are the relative values of the slope changes of the small-segment steel box girders in front and behind the large-segment matching front, and L 1 and L 2 are the steel box girder segment lengths of two adjacent large-segment steel box girders respectively;
当大节段钢箱梁匹配端口在设计成桥线形中是单坡形式时，大节段端面无应力制造倾角计算的简化公式为：When the matching port of the large-segment steel box girder is a single slope in the designed bridge alignment, the simplified formula for calculating the stress-free manufacturing inclination angle of the large-segment end face is:
当匹配端口处于设计线形中的竖曲线中，需要在公式(12)的基础上计入设计线形竖曲线中初始曲率的影响，此时大节段端面无应力制造倾角的计算公式为：When the matching port is in a vertical curve in the design line, the influence of the initial curvature in the design line vertical curve needs to be taken into account based on formula (12). At this time, the calculation formula for the stress-free manufacturing inclination of the large segment end face is:
式中：θ
i为设计竖曲线造成的水平夹角差；H
i‐1、H
i、H
i+1均为节点设计标高。
In the formula: θ i is the horizontal angle difference caused by the design vertical curve; Hi -1 , Hi , Hi +1 are all node design elevations.
进一步地，步骤1中得到
的过程包括：
Further, in step 1 we get The process includes:
设截面C
-、C
+的中性轴曲线切线与水平面的夹角分别为
从制造时无应力状态至匹配焊接前，截面C
-、C
+由于转动变形引起的夹角
的改变量分别为
从匹配焊接后至最终成桥状态由后续各类型荷载引起的夹角
变化量分别为
则施工全过程中
的累计变化量
分别为：
Assume that the angles between the tangent lines of the neutral axis curves of sections C - and C + and the horizontal plane are respectively From the stress-free state during manufacturing to before matching welding, the angle between sections C - and C + due to rotational deformation The changes are respectively The included angles caused by subsequent types of loads from matching welding to the final bridge state The changes are respectively During the entire construction process The cumulative change in They are:
设相邻大节段钢箱梁端面C
-、C
+腹板与铅垂线的夹角为ξ
i-、ξ
i+，在无应力状态下制造时大节段钢箱梁端面C
-、C
+腹板与铅垂线的夹角
分别满足：
Assume that the angle between the end faces C - and C + of adjacent large-section steel box beams and the vertical line is ξ i- , ξ i+ . When manufactured in a stress-free state, the end faces C - and C of large-section steel box beams are + The angle between the web and the plumb line Satisfy respectively:
则在匹配焊接工况下，相邻大节段钢箱梁端面C
-、C
+腹板与铅垂线的夹角
分别满足：
Then under matching welding conditions, the angles between the end faces C - and C + webs of adjacent large-section steel box beams and the plumb line Satisfy respectively:
则要求C
+、C
-端面相互平行，即
代入(3)式则有：
Then the C + and C - end faces are required to be parallel to each other, that is Substituting into equation (3), we have:
进一步地，要求C
+、C
-端面相互平行是为了保证相邻大节段钢箱梁端面在匹配焊接工况下自动匹配。
Furthermore, the requirement that the C + and C - end faces be parallel to each other is to ensure that the end faces of adjacent large-section steel box beams automatically match under matching welding conditions.
进一步地，步骤2中，截面C从焊接至成桥的累计曲率变化量的表达式为：Further, in step 2, the expression of the cumulative curvature change of section C from welding to bridge formation is:
将(5)式代入(4)式，即可得到Substituting equation (5) into equation (4), we can get
进一步地，步骤5中，桥梁工程中常以直代曲的方法进行简化制造，钢箱梁中性轴并不是一条光滑的曲线，因此可以建立匹配面节点和其前节点、后节点的三节点几何模型用以简化计算匹配面的曲率补偿量。Furthermore, in step 5, in bridge engineering, the method of direct substitution is often used for simplified manufacturing. The neutral axis of the steel box girder is not a smooth curve, so a three-node geometry matching the surface node and its front and rear nodes can be established. The model is used to simplify the calculation of the curvature compensation of the matching surface.
进一步地，还包括步骤6：以中性轴为基准，结合所述制造倾角，对钢箱梁顶、底板长度进行修正。Further, step 6 is included: using the neutral axis as a reference and combining the manufacturing inclination angle, correct the length of the top and bottom plates of the steel box girder.
进一步地，当钢箱梁采用两端修正时，钢箱梁节段顶板、底板长度修正量为：Furthermore, when the steel box girder adopts two-end correction, the length correction amount of the top plate and bottom plate of the steel box girder segment is:
式中，
为底板修正长度，
为钢箱梁顶修正长度；
为钢箱梁顶至中性轴距离，
为底板至中性轴距离。
In the formula, Corrected length for base plate, Corrected length for steel box girder top; is the distance from the top of the steel box girder to the neutral axis, is the distance from the base plate to the neutral axis.
进一步地，还包括步骤：以中性轴长度为基础，考虑顶板、底板长度修正后，得到制造放样需要的钢箱梁顶、底板的实际制造长度。Further, it also includes the step of: based on the length of the neutral axis, after considering the correction of the length of the top plate and the bottom plate, obtain the actual manufacturing length of the top and bottom plates of the steel box girder required for manufacturing lofting.
进一步地，钢箱梁顶、底板制造放样长度的计算公式为：Furthermore, the calculation formula for the manufacturing lofting length of the steel box girder top and bottom plates is:
式中，
为钢箱梁顶、底板制造放样长度。
In the formula, Create lofting lengths for the steel box girder top and bottom plates.
进一步地，中性轴的获取方式为Furthermore, the neutral axis is obtained by
式中，θ
i为设计竖曲线造成的水平夹角差，
为中性轴修正长度，
为修正后中性轴长度。
In the formula, θ i is the horizontal angle difference caused by the designed vertical curve, Corrected length for neutral axis, is the corrected neutral axis length.
与现有技术相比，本发明至少能够实现以下有益效果：Compared with the prior art, the present invention can at least achieve the following beneficial effects:
本方法从钢箱梁的无应力制造几何形态根源出发，提出了大节段钢箱梁端面制造倾角计算的曲率补偿法，将桥梁工程中常规的预拱度设置中高程补偿的概念拓展到了曲率补偿层面，以解决大节段钢箱梁端面制造倾角计算的核心问题，实现了相邻大节段钢箱梁安装时的端面匹配；进而能够通过制造倾角与中性轴的几何关系，对钢箱梁顶、底板长度进行修正。This method starts from the stress-free manufacturing geometry of steel box girders and proposes a curvature compensation method for calculating the manufacturing inclination angle of the end face of large-section steel box girders, extending the concept of elevation compensation in conventional pre-camber settings in bridge engineering to include curvature The compensation level is used to solve the core problem of calculating the manufacturing inclination angle of the end face of large-segment steel box girders, and realize the end-face matching when installing adjacent large-segment steel box girders; and then the geometric relationship between the manufacturing inclination angle and the neutral axis can be used to control the steel box girder. The lengths of the top and bottom plates of the box beams are corrected.
图1是本发明实施例中一种大节段钢箱梁端面制造倾角的计算方法相邻大节段钢箱梁无应力制造几何形态图；Figure 1 is a method for calculating the manufacturing inclination angle of the end face of a large-segment steel box girder in an embodiment of the present invention, and is a geometric diagram of the stress-free manufacturing of adjacent large-segment steel box girder;
图2是本发明实施例中一种大节段钢箱梁端面制造倾角的计算方法相邻大节段钢箱梁匹配焊接示意图；Figure 2 is a schematic diagram of matching welding of adjacent large-section steel box beams using a method for calculating the manufacturing inclination angle of the end face of a large-section steel box beam in an embodiment of the present invention;
图3是本发明实施例中一种大节段钢箱梁端面制造倾角的计算方法大节段钢箱梁曲率变化量示意图；Figure 3 is a schematic diagram of the curvature change of a large-section steel box girder using a method for calculating the manufacturing inclination angle of the end face of a large-section steel box girder in an embodiment of the present invention;
图4是本发明实施例中一种大节段钢箱梁端面制造倾角的计算方法大节段钢箱梁曲率补偿示意图；Figure 4 is a schematic diagram of the curvature compensation method of a large-section steel box girder end face manufacturing inclination angle in an embodiment of the present invention;
图5是本发明实施例中一种大节段钢箱梁端面制造倾角的计算方法以直代曲简化计算示意图；Figure 5 is a simplified calculation schematic diagram of a method for calculating the manufacturing inclination angle of the end face of a large-segment steel box girder in an embodiment of the present invention;
图6是本发明实施例中一种大节段钢箱梁端面制造倾角的计算方法设计竖曲线对制造倾角计算的影响图；Figure 6 is a diagram showing the influence of the designed vertical curve on the calculation of the manufacturing inclination angle of a large-segment steel box girder end face manufacturing inclination angle calculation method in the embodiment of the present invention;
图7是本发明实施例中一种大节段钢箱梁端面制造倾角的计算方法局部钢箱梁水平投影示意图；Figure 7 is a schematic horizontal projection of a partial steel box girder using a method for calculating the manufacturing inclination angle of the end face of a large segment steel box girder in an embodiment of the present invention;
图8是本发明实施例中一种大节段钢箱梁端面制造倾角的计算方法局部钢箱梁顶、底板长度修正示意图；Figure 8 is a schematic diagram of a method for calculating the manufacturing inclination angle of the end face of a large-section steel box girder in an embodiment of the present invention, and a schematic diagram of the partial length correction of the top and bottom plates of the steel box girder;
图9是本发明实施例中一种大节段钢箱梁端面制造倾角的计算方法步骤图。Figure 9 is a step diagram of a method for calculating the inclination angle of the end face of a large-section steel box girder in an embodiment of the present invention.
为使本发明实施例的目的、技术方案和优点更加清楚，下面将结合本发明实施例中的附图，对本发明实施例中的技术方案进行清楚、完整的描述，显然，所描述的实施例是本发明一部分实施例，而不是全部的实施例。基于本发明中的实施例，本领域普通技术人员在没有做出创造性劳动前提下所获得的所有其他实施例，都是本发明保护的范围。In order to make the purpose, technical solutions and advantages of the embodiments of the present invention clearer, the technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention. Obviously, the described embodiments These are some embodiments of the present invention, rather than all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those of ordinary skill in the art without creative efforts are within the scope of protection of the present invention.
请参阅图9，本发明提供的一种大节段钢箱梁端面制造倾角的计算方法，包括以下步骤：Please refer to Figure 9. The invention provides a method for calculating the manufacturing inclination angle of the end face of a large-section steel box girder, which includes the following steps:
步骤一、设相邻大节段钢箱梁的匹配截面为C
-、C
+截面，并且设截面C
-、C
+的中性轴曲线切线与水平面的夹角分别为
从制造时无应力状态至匹配焊接前，截面C
-、C
+由于转动变形引起的夹角
的改变量分别为
从匹配焊接后至最终成桥状态由后续各类型荷载引起的夹角
变化量分别为
则施工全过程中
的累计变化量
分别为：
Step 1. Assume that the matching sections of adjacent large-section steel box beams are sections C - and C + , and the angles between the tangents of the neutral axis curves of sections C - and C + and the horizontal plane are respectively From the stress-free state during manufacturing to before matching welding, the angle between sections C - and C + due to rotational deformation The changes are respectively The included angles caused by subsequent types of loads from matching welding to the final bridge state The changes are respectively During the entire construction process The cumulative change in They are:
步骤二、设相邻大节段钢箱梁端面C
-、C
+腹板与铅垂线的夹角为ξ
i-、ξ
i+，并设相邻大节段钢箱梁端面C
-、C
+截面的制造倾角为γ
i-、γ
i-，如图2所示，在无应力状态下制造时大节段钢箱梁端面C
-、C
+腹板与铅垂线的夹角
分别满足：
Step 2. Suppose the angle between the end faces C - and C of adjacent large-section steel box beams and the vertical line is ξ i- , ξ i+ , and set the end faces C - and C of adjacent large-section steel box beams. + The manufacturing inclination angle of the section is γ i- , γ i- , as shown in Figure 2, when the large-section steel box girder is manufactured in a stress-free state, the angle between the end face C - , C + the web and the plumb line Satisfy respectively:
则在匹配焊接工况下，相邻大节段钢箱梁端面C
-、C
+腹板与铅垂线的夹角
分别满足：
Then under matching welding conditions, the angles between the end faces C - and C + webs of adjacent large-section steel box beams and the plumb line Satisfy respectively:
步骤三、若要保证相邻大节段钢箱梁端面在匹配焊接工况下自动匹配，则要求C
+、C
-端面相互平行，即
代入(3)式有：
Step 3. To ensure that the end faces of adjacent large-section steel box beams automatically match under matching welding conditions, the C + and C - end faces are required to be parallel to each other, that is, Substituting into equation (3) we have:
步骤四、大节段钢箱梁焊接后，C
+与C
-形成整体截面C，如图3所示，截面C从焊接 至成桥的累计曲率变化量
可由其前后中性轴曲线的切线与水平面夹角差值
来表示：
Step 4. After the large-section steel box girder is welded, C + and C - form the overall section C. As shown in Figure 3, the cumulative curvature change of section C from welding to the completion of the bridge It can be determined by the angle difference between the tangent line of the front and rear neutral axis curve and the horizontal plane. To represent:
将(5)式代入(4)式，则相邻大节段钢箱梁匹配焊接截面位置的制造倾角γ
i为：
Substituting equation (5) into equation (4), the manufacturing inclination angle γ i of the matching welding section position of adjacent large-section steel box girders is:
式(6)表明：只要保证大节段端面的制造倾角γ
i与该端面处从焊接至成桥的曲率变化量
相反，则可保证相邻大节段钢箱梁端面在匹配焊接工况下自动匹配。
Equation (6) shows that: as long as the manufacturing inclination angle γ i of the large segment end face and the change in curvature of the end face from welding to bridge formation are ensured, On the contrary, it can ensure that the end faces of adjacent large-section steel box beams automatically match under matching welding conditions.
步骤五、制造倾角γ
i已经决定了大节段制造线形在截面C处的曲率
该曲率于焊接后开始在施工临时荷载、结构自重及二期恒载等的作用下，在各个工况不断产生变化增量
n为工况的数量，直至成桥状态，截面C处的曲率K
i达到了设计成桥曲率
即基于补偿原则：
Step 5. The manufacturing inclination angle γ i has determined the curvature of the large-segment manufacturing line at section C. This curvature begins to change and increment under various working conditions under the action of temporary construction load, structural self-weight and second-stage dead load after welding. n is the number of working conditions until the bridge state is reached and the curvature K i at section C reaches the designed bridge curvature. That is based on the principle of compensation:
式中：
分别为大节段匹配口截面的无应力曲率、曲率补偿量和设计曲率。
In the formula: They are the stress-free curvature, curvature compensation amount and design curvature of the large segment matching port section, respectively.
类似的过程在结构高程变化方面表现为：A similar process manifests itself in structural elevation changes as:
式中：
分别为桥梁工程计算中常见的无应力标高、预拱度(高程补偿量)和设计标高。
In the formula: They are the stress-free elevation, pre-camber (elevation compensation amount) and design elevation that are common in bridge engineering calculations.
如图4所示，制造线形中相邻大节段匹配口的制造倾角γ
i本质上是在该截面位置的一种曲率补偿。
As shown in Figure 4, the manufacturing inclination angle γ i of the adjacent large segment matching opening in the manufacturing line is essentially a curvature compensation at the cross-sectional position.
步骤六、建立大阶段钢箱梁正装有限元模型，由于大节段从无应力状态至匹配焊接状态，其端部均为简支梁自由端，弯矩为零，故匹配口处截面C的成桥弯矩即为该截面从焊接至成桥的弯矩增量。Step 6: Establish the formal assembly finite element model of the large-stage steel box girder. Since the ends of the large sections are from the stress-free state to the matching welded state, they are all free ends of simply supported beams, and the bending moment is zero. Therefore, the cross-section C at the matching mouth The bridge bending moment is the bending moment increment of the section from welding to the bridge.
将(9)式代入(6)式有：Substituting equation (9) into equation (6) we get:
EI：梁的抗弯刚度EI: bending stiffness of beam
则可根据相邻大节段钢箱梁匹配截面位置处的成桥弯矩按照公式(10)计算相邻两大节段的端面制造倾角。事实上，如图5所示，桥梁工程中常以直代曲的方法进行简化制造，钢箱梁中性轴并不是一条光滑的曲线。因此可以建立匹配面节点和其前节点、后节点的三节点几何模型用以简化计算匹配面的曲率补偿量。Then the end face manufacturing inclination angles of two adjacent large sections can be calculated according to formula (10) based on the bridge bending moment at the matching section position of the adjacent large section steel box girder. In fact, as shown in Figure 5, bridge engineering is often simplified by the straight-to-curve method, and the neutral axis of the steel box girder is not a smooth curve. Therefore, a three-node geometric model of the matching surface node and its front and back nodes can be established to simplify the calculation of the curvature compensation of the matching surface.
步骤七、设大节段匹配后，其匹配面节点与其前节点、后节点在施工临时荷载、结构自重及二期恒载等的作用下，在各个工况产生的累计挠度的相反值分别为Δ
i，Δ
i-1，Δ
i+1，有：
Step 7. Assume that after the large segments are matched, the opposite values of the cumulative deflections produced by the matching surface nodes and their front and rear nodes under each working condition under the action of the temporary construction load, the self-weight of the structure and the second-stage dead load, etc. are respectively Δ i , Δ i-1 , Δ i+1 , there are:
L
1、L
2分别为两相邻大节段钢箱梁的钢箱梁段长度；
L 1 and L 2 are the lengths of steel box girder segments of two adjacent large segment steel box girder respectively;
实际上，α、β是大节段匹配面前后的小节段钢箱梁斜率变化的相对值，可近似表示匹配面处的曲率变化，因此可取大节段端面无应力制造倾角计算的简化公式为：In fact, α and β are the relative values of the slope change of the small-segment steel box girder behind and behind the large-segment matching surface, which can approximately represent the curvature change at the matching surface. Therefore, the simplified formula for calculating the stress-free manufacturing inclination angle of the large-segment end face can be taken as :
以上简化公式默认大节段钢箱梁匹配端口在设计成桥线形中是单坡形式，但如图6所示，实际上匹配端口可能处于设计线形中的竖曲线中，如此则需要在公式(12)的基础上计入设计线形竖曲线中初始曲率的影响，此时大节段端面无应力制造倾角的计算公式为：The above simplified formula assumes that the matching port of the large-segment steel box girder is in the form of a single slope in the designed bridge alignment. However, as shown in Figure 6, the matching port may actually be in a vertical curve in the designed alignment. In this case, it needs to be included in the formula ( 12), the influence of the initial curvature in the designed linear vertical curve is taken into account. At this time, the calculation formula for the stress-free manufacturing inclination of the large segment end face is:
式中：θ
i为设计竖曲线造成的水平夹角差；H
i‐1、H
i、H
i+1均为节点设计标高。
In the formula: θ i is the horizontal angle difference caused by the design vertical curve; Hi -1 , Hi , Hi +1 are all node design elevations.
步骤八、在一般情况下，设计图纸给出的钢箱梁长度均为设计线形在基准温度下的水平投影长度，实际制造时需要进行斜长修正。如图7所示，为便于支座定位、安装，假设桥梁 大节段钢箱梁节段的水平投影长度以底板为基准，即可以通过设计图纸中里程桩号和设计高程计算设计成桥状态下的钢箱梁底板长度。Step 8. Under normal circumstances, the length of the steel box girder given in the design drawings is the horizontal projection length of the design line at the reference temperature. The oblique length correction needs to be made during actual manufacturing. As shown in Figure 7, in order to facilitate the positioning and installation of the supports, it is assumed that the horizontal projected length of the large steel box girder segments of the bridge is based on the base plate, that is, the bridge status can be calculated through the mileage station number and design elevation in the design drawings. The length of the bottom plate of the steel box girder.
式中：
为设计图纸中的水平投影长度，
为钢箱梁底板斜长，α
i为竖曲线造成的水平夹角，
为工况i时的设计高程，
为工况i-1时的设计高程。
In the formula: is the horizontal projection length in the design drawing, is the oblique length of the steel box girder bottom plate, α i is the horizontal angle caused by the vertical curve, is the design elevation under working condition i, It is the design elevation under working condition i-1.
由平截面假定可知，钢箱梁弯曲变形并不会改变其中性轴长度，则在设计线形中存在竖曲线时，大节段钢箱梁制造时中性轴长度还需考虑竖曲线造成水平夹角差的影响，叠加设计成桥状态下钢箱梁底板长度计算得到。It can be seen from the plane section assumption that the bending deformation of the steel box girder will not change the length of its neutral axis. When there are vertical curves in the design line, the length of the neutral axis also needs to consider the horizontal clamping caused by the vertical curve when manufacturing large-section steel box girder. The influence of the angle difference is calculated by superimposing the length of the steel box girder base plate in the bridge state.
式中：θ
i为设计竖曲线造成的水平夹角差，
为中性轴修正长度，
为修正后中性轴长度。
In the formula: θ i is the horizontal angle difference caused by the designed vertical curve, Corrected length for neutral axis, is the corrected neutral axis length.
步骤九、如图8所示，为实现相邻节段匹配顺接，需要以中性轴为基准，结合前面计算得到的大节段钢箱梁端面制造倾角，对钢箱梁顶、底板长度进行修正，当钢箱梁采用两端修正时，钢箱梁节段顶、底板长度修正量为：Step 9. As shown in Figure 8, in order to achieve matching and continuous connection of adjacent segments, it is necessary to use the neutral axis as the benchmark, combined with the inclination angle of the end face of the large-section steel box girder calculated previously, and calculate the length of the top and bottom plates of the steel box girder. Correction is made. When the steel box girder adopts two-end correction, the correction amount of the top and bottom plate lengths of the steel box girder segments is:
式中：
为底板修正长度，
为钢箱梁顶修正长度；
为钢箱梁顶至中性轴距离，
为底板至中性轴距离。
In the formula: Corrected length for base plate, Corrected length for steel box girder top; is the distance from the top of the steel box girder to the neutral axis, is the distance from the base plate to the neutral axis.
事实上，对同一大节段钢箱梁内部的小节段钢箱梁而言，钢箱梁顶、底板长度修正量的计算也是相同的，与大节段钢箱梁匹配端面制造倾角不同的是，小节段钢箱梁端面的制造倾角γ
i可直接由制造线形相邻小节段钢箱梁制造线形水平夹角差计算得到。
In fact, for the small segment steel box girder inside the same large segment steel box girder, the calculation of the length correction of the top and bottom plates of the steel box girder is also the same. The difference from the matching end face manufacturing inclination angle of the large segment steel box girder is that the small segment steel box girder The manufacturing inclination angle γ i of the end face of the steel box girder segment can be calculated directly from the horizontal angle difference between the manufacturing lines of adjacent small segment steel box girder manufacturing lines.
如此，以中性轴长度为基础，考虑顶、底板长度修正后，得到制造放样需要的钢箱梁顶、底板的实际制造长度。再严格按照公式(16)进行钢箱梁顶、底板长度放样后，厂内制造时可将小节段钢箱梁进行刚体平移和旋转处理，以降低钢箱梁制造放样难度。In this way, based on the length of the neutral axis and taking into account the correction of the length of the top and bottom plates, the actual manufacturing length of the top and bottom plates of the steel box girder required for manufacturing lofting is obtained. After setting out the lengths of the top and bottom plates of the steel box girder strictly in accordance with formula (16), small sections of the steel box girder can be rigidly translated and rotated during in-factory manufacturing to reduce the difficulty of setting out the steel box girder.
式中：
为钢箱梁顶、底板制造放样长度。
In the formula: Create lofting lengths for the steel box girder top and bottom plates.
如图1，2，3所示的一种大节段钢箱梁端面制造倾角的计算方法相邻大节段钢箱梁无应力制造几何形态图、相邻大节段钢箱梁匹配焊接示意图和大节段钢箱梁曲率变化量示意图，根据大节段钢箱梁匹配的截面的特点和相应公式可以得到公式；
即只要保证大节段端面的制造倾角与该截面处从焊接至成桥的曲率变化量相反，则可保证相邻大节段钢箱梁端面在匹配焊接工况下自动匹配。如图4所示的一种大节段钢箱梁端面制造倾角的计算方法大节段钢箱梁曲率补偿示意图，根据大节段钢箱梁匹配的截面的特点和相应公式，得出制造线形中相邻大节段匹配口的切割角本质上是在该截面位置的一种曲率补偿。如图5和6所示的种大节段钢箱梁端面制造倾角计算方法设计竖曲线对制造倾角计算的影响图和局部钢箱梁水平投影示意图，可以由有限元正装模型计算得出的累计挠度值计算出大节段匹配面前后的小节段钢箱梁斜率变化的相对值、大节段端面无应力切割角和设计竖曲线引起的制造倾角。如图7所示的一种大节段钢箱梁端面制造倾角的计算方法局部钢箱梁水平投影示意图，根据设计图纸和平截面假定可以结算得出大节段钢箱梁端面的竖曲线造成的水平夹角差和以竖曲线造成的水平夹角差修正后的中性轴长度。如图8所示的一种大节段钢箱梁端面制造倾角的计算方法局部钢箱梁顶、底板长度修正示意图，根据前面步骤得到的大节段钢箱梁端面制造倾角和竖曲线造成的水平夹角差，即可以计算出大节段钢箱梁顶，底板制造放样长度。
The calculation method of the end face manufacturing inclination angle of a large-segment steel box girder shown in Figures 1, 2, and 3 is a stress-free manufacturing geometry diagram of adjacent large-segment steel box girder, and a schematic diagram of matching welding of adjacent large-segment steel box girder. and a schematic diagram of the curvature change of the large-segment steel box girder. The formula can be obtained based on the characteristics of the matching cross-section of the large-segment steel box girder and the corresponding formula; That is, as long as the manufacturing inclination angle of the large segment end face is opposite to the curvature change of the section from welding to bridge completion, it can be ensured that the end faces of adjacent large segment steel box girder automatically match under matching welding conditions. A method for calculating the manufacturing inclination angle of the end face of a large-segment steel box girder is shown in Figure 4. A schematic diagram of the curvature compensation of a large-segment steel box girder. According to the characteristics and corresponding formulas of the matched sections of the large-segment steel box girder, the manufacturing line shape is obtained. The cutting angle of the matching opening of the adjacent large segment is essentially a curvature compensation at this cross-sectional position. As shown in Figures 5 and 6, the calculation method for the manufacturing inclination angle of the end face of a large-segment steel box girder is the influence diagram of the designed vertical curve on the calculation of the manufacturing inclination angle and the horizontal projection schematic diagram of the local steel box girder. The cumulative value can be calculated by the finite element formal model. The deflection value is used to calculate the relative value of the slope change of the small-section steel box girder behind and behind the large-section matching face, the stress-free cutting angle of the large-section end face, and the manufacturing inclination angle caused by the designed vertical curve. A method for calculating the manufacturing inclination angle of the end face of a large-segment steel box girder is shown in Figure 7, which is a schematic diagram of the horizontal projection of a local steel box girder. Based on the design drawings and the assumption of a flat section, it can be calculated that the vertical curve of the end face of a large-segment steel box girder is caused by The horizontal angle difference and the length of the neutral axis corrected by the horizontal angle difference caused by the vertical curve. As shown in Figure 8, a calculation method for the manufacturing inclination angle of the end face of a large-segment steel box girder is a schematic diagram of the partial length correction of the top and bottom plates of the steel box girder. According to the manufacturing inclination angle and vertical curve of the end face of the large-segment steel box girder obtained in the previous steps, The horizontal angle difference can be used to calculate the manufacturing lofting length of the top and bottom plates of large-section steel box beams.
本方法从钢箱梁的无应力制造几何形态根源出发，提出了大节段钢箱梁端面制造倾角计算的曲率补偿法，将桥梁工程中常规的预拱度设置中高程补偿的概念拓展到了曲率补偿层面，能够方便的解决大节段钢箱梁端面制造倾角计算的问题，并且能够实现相邻大节段钢箱梁安装时的端面匹配；进而通过制造倾角与中性轴的几何关系，还可以进一步对钢箱梁顶、底板长度进行修正。This method starts from the stress-free manufacturing geometry of steel box girders and proposes a curvature compensation method for calculating the manufacturing inclination angle of the end face of large-section steel box girders, extending the concept of elevation compensation in conventional pre-camber settings in bridge engineering to include curvature At the compensation level, it can easily solve the problem of calculating the inclination angle of the end face of large-section steel box girders, and achieve end-face matching when installing adjacent large-section steel box girders; furthermore, through the geometric relationship between the manufacturing inclination angle and the neutral axis, it can also The length of the top and bottom plates of the steel box girder can be further modified.
如上所述，便可实现本发明。As described above, the present invention can be realized.
但是本发明并非限定于上述特定的实施例，在不超过权利要求书中请求的本发明的技术思想的范围内，本发明所属的技术领域的技术人员能够实施多种变形，上述变形实施应当不 能脱离本发明的技术思想或前景进行解释。However, the present invention is not limited to the above-mentioned specific embodiments. Those skilled in the technical field to which the present invention belongs can implement various modifications within the scope of the technical idea of the invention as claimed in the claims. The above-mentioned modified implementations should not be The explanation shall be made without departing from the technical idea or prospect of the present invention.
Claims (10)
- 一种大节段钢箱梁端面制造倾角的计算方法，其特征在于，包括以下步骤：A method for calculating the manufacturing inclination angle of the end face of a large-section steel box girder, which is characterized by including the following steps:步骤1：设相邻大节段钢箱梁的匹配截面为C -、C +截面，相邻大节段钢箱梁端面C -、C +截面的制造倾角为γ i-、γ i-，利用大节段钢箱梁截面的性质，得到 Step 1: Assume that the matching sections of adjacent large-section steel box beams are C - and C + sections, and the manufacturing inclination angles of the end faces C - and C + sections of adjacent large-section steel box beams are γ i- and γ i- , Using the properties of the large section steel box girder section, we get
步骤2：利用大节段钢箱梁端面曲率的性质，并结合步骤1中的公式得到相邻大节段钢箱梁匹配焊接截面位置的制造倾角为截面C从焊接至成桥的累计曲率变化量； Step 2: Use the properties of the end surface curvature of the large-segment steel box girder and combine it with the formula in step 1 to obtain the manufacturing inclination angle of the adjacent large-segment steel box girder matching the welding section position
is the cumulative curvature change of section C from welding to bridge formation;步骤3：制造倾角γ i决定了大节段制造线形在截面C处的曲率该曲率于焊接后开始在施工临时荷载、结构自重及二期恒载等的作用下，在各个工况不断产生变化增量
n为工况的数量，直至成桥状态，截面C处的曲率K i达到了设计成桥曲率
即基于补偿原则，有： Step 3: The manufacturing inclination angle γ i determines the curvature of the large-segment manufacturing line at section C
This curvature begins to change and increment under various working conditions under the action of temporary construction load, structural self-weight and second-stage dead load after welding.n is the number of working conditions until the bridge state is reached and the curvature K i at section C reaches the designed bridge curvature.That is, based on the principle of compensation, there are:
式中：分别为大节段匹配口截面的无应力曲率、曲率补偿量和设计曲率； In the formula:
They are the stress-free curvature, curvature compensation amount and design curvature of the large segment matching port section respectively;在结构高程变化方面表现为：The changes in structural elevation are as follows:
可知，制造线形中相邻大节段匹配口的制造倾角γ i本质上是在该截面位置的一种曲率补偿； It can be seen that the manufacturing inclination angle γ i of the adjacent large segment matching opening in the manufacturing line is essentially a curvature compensation at the cross-sectional position;步骤4：建立大阶段钢箱梁正装有限元模型，由于大节段从无应力状态至匹配焊接状态，其端部均为简支梁自由端，弯矩为零，故匹配口处截面C的成桥弯矩即为该截面从焊接至成桥的弯矩增量，则结合
得 Step 4: Establish the formal assembly finite element model of the large-stage steel box girder. Since the ends of the large segments are from the stress-free state to the matching welded state, they are all free ends of simply supported beams, and the bending moment is zero, so the cross-section C at the matching mouth The bridge bending moment is the bending moment increment of the section from welding to the bridge, then
combinehave to
式中，为匹配口处截面C的成桥弯矩，
为匹配口处截面C的成桥弯矩，
为截面从焊接至成桥的弯矩增量，EI为梁的抗弯刚度； In the formula,
is the bridge bending moment of section C at the matching opening,is the bridge bending moment of section C at the matching opening,is the bending moment increment of the section from welding to the completed bridge, EI is the bending stiffness of the beam;步骤5：基于制造倾角γ i本质上是在该截面位置的一种曲率补偿，并设大节段匹配后， 其匹配面节点与其前节点、后节点在施工临时荷载、结构自重及二期恒载等的作用下，在各个工况产生的累计挠度的相反值分别为Δ i，Δ i-1，Δ i+1，则有： Step 5: Based on the manufacturing inclination angle γ i , which is essentially a curvature compensation at the cross-section position, and assuming that after large segments are matched, the matching surface nodes, their front nodes, and rear nodes are affected by the temporary load during construction, the self-weight of the structure, and the second-phase constant Under the action of load, etc., the opposite values of the cumulative deflection produced in each working condition are Δ i , Δ i-1 , Δ i+1 respectively, then there are:
α、β是大节段匹配面前后的小节段钢箱梁斜率变化的相对值，L 1、L 2分别为两相邻大节段钢箱梁的钢箱梁段长度； α and β are the relative values of the slope changes of the small-segment steel box girders in front and behind the large-segment matching front, and L 1 and L 2 are the steel box girder segment lengths of two adjacent large-segment steel box girders respectively;当大节段钢箱梁匹配端口在设计成桥线形中是单坡形式时，大节段端面无应力制造倾角计算的简化公式为：When the matching port of the large-segment steel box girder is a single slope in the designed bridge alignment, the simplified formula for calculating the stress-free manufacturing inclination angle of the large-segment end face is:
当匹配端口处于设计线形中的竖曲线中，需要在公式(12)的基础上计入设计线形竖曲线中初始曲率的影响，此时大节段端面无应力制造倾角的计算公式为：When the matching port is in a vertical curve in the design line, the influence of the initial curvature in the design line vertical curve needs to be taken into account based on formula (12). At this time, the calculation formula for the stress-free manufacturing inclination of the large segment end face is:
式中：θ i为设计竖曲线造成的水平夹角差；H i‐1、H i、H i+1均为节点设计标高。 In the formula: θ i is the horizontal angle difference caused by the design vertical curve; Hi -1 , Hi , Hi +1 are all node design elevations. - 根据权利要求1所述的一种大节段钢箱梁端面制造倾角的计算方法，其特征在于，步骤1中得到的过程包括： A method for calculating the manufacturing inclination angle of the end face of a large-section steel box girder according to claim 1, characterized in that: obtained in step 1
The process includes:设截面C -、C +的中性轴曲线切线与水平面的夹角分别为从制造时无应力状态至匹配焊接前，截面C -、C +由于转动变形引起的夹角
的改变量分别为
从匹配焊接后至最终成桥状态由后续各类型荷载引起的夹角
变化量分别为
则施工全过程中
的累计变化量
分别为： Assume that the angles between the tangent lines of the neutral axis curves of sections C - and C + and the horizontal plane are respectively
From the stress-free state during manufacturing to before matching welding, the angle between sections C - and C + due to rotational deformationThe changes are respectivelyThe included angles caused by subsequent types of loads from matching welding to the final bridge stateThe changes are respectivelyDuring the entire construction processThe cumulative change inThey are:
设相邻大节段钢箱梁端面C -、C +腹板与铅垂线的夹角为ξ i-、ξ i+，在无应力状态下制造时大节段钢箱梁端面C -、C +腹板与铅垂线的夹角分别满足： Assume that the angle between the end faces C - and C + of adjacent large-section steel box beams and the vertical line is ξ i- , ξ i+ . When manufactured in a stress-free state, the end faces C - and C of large-section steel box beams are + The angle between the web and the plumb line
Satisfy respectively:
则在匹配焊接工况下，相邻大节段钢箱梁端面C -、C +腹板与铅垂线的夹角分别 满足： Then under matching welding conditions, the angles between the end faces C - and C + webs of adjacent large-section steel box beams and the plumb line
Satisfy respectively:
则要求C +、C -端面相互平行，即代入(3)式则有： Then the C + and C - end faces are required to be parallel to each other, that is
Substituting into equation (3), we have:
- 根据权利要求2所述的一种大节段钢箱梁端面制造倾角的计算方法，其特征在于，要求C +、C -端面相互平行是为了保证相邻大节段钢箱梁端面在匹配焊接工况下自动匹配。 A method for calculating the inclination angle of the end face of a large-section steel box girder according to claim 2, characterized in that requiring C + and C - end faces to be parallel to each other is to ensure that the end faces of adjacent large-section steel box beams are matched and welded together Automatic matching under working conditions.
- 根据权利要求2所述的一种大节段钢箱梁端面制造倾角的计算方法，其特征在于，步骤2中，截面C从焊接至成桥的累计曲率变化量的表达式为：A method for calculating the manufacturing inclination angle of the end face of a large-section steel box girder according to claim 2, characterized in that in step 2, the expression of the cumulative curvature change of section C from welding to bridge completion is:
将(5)式代入(4)式，即可得到Substituting equation (5) into equation (4), we can get
- 根据权利要求1所述的一种大节段钢箱梁端面制造倾角的计算方法，其特征在于，步骤5中，桥梁工程中常以直代曲的方法进行简化制造，钢箱梁中性轴并不是一条光滑的曲线，因此可以建立匹配面节点和其前节点、后节点的三节点几何模型用以简化计算匹配面的曲率补偿量。A method for calculating the inclination angle of the end face of a large-section steel box girder according to claim 1, characterized in that in step 5, the straight-to-curve method is often used for simplified manufacturing in bridge engineering, and the neutral axis of the steel box girder is parallel to It is not a smooth curve, so a three-node geometric model of the matching surface node and its front and back nodes can be established to simplify the calculation of the curvature compensation of the matching surface.
- 根据权利要求1-5任一所述的一种大节段钢箱梁端面制造倾角的计算方法，其特征在于，还包括步骤6：以中性轴为基准，结合所述制造倾角，对钢箱梁顶、底板长度进行修正。A method for calculating the manufacturing inclination angle of the end face of a large-section steel box girder according to any one of claims 1 to 5, characterized in that it also includes step 6: taking the neutral axis as a benchmark and combining the manufacturing inclination angle, calculating the steel box girder end face manufacturing inclination angle. The lengths of the top and bottom plates of the box beams are corrected.
- 根据权利要求6所述的一种大节段钢箱梁端面制造倾角的计算方法，其特征在于，当钢箱梁采用两端修正时，钢箱梁节段顶板、底板长度修正量为：A method for calculating the inclination angle of the end face of a large segment steel box girder according to claim 6, characterized in that when the steel box girder adopts two-end correction, the length correction amount of the steel box girder segment top plate and bottom plate is:
式中，为底板修正长度，
为钢箱梁顶修正长度；
为钢箱梁顶至中性轴距离，
为底板至中性轴距离。 In the formula,
Corrected length for base plate,Corrected length for steel box girder top;is the distance from the top of the steel box girder to the neutral axis,is the distance from the base plate to the neutral axis. - 根据权利要求7所述的一种大节段钢箱梁端面制造倾角的计算方法，其特征在于， 还包括步骤：以中性轴长度为基础，考虑顶板、底板长度修正后，得到制造放样需要的钢箱梁顶、底板的实际制造长度。A method for calculating the manufacturing inclination angle of the end face of a large-section steel box girder according to claim 7, characterized in that it also includes the step of: based on the length of the neutral axis, after considering the correction of the length of the top plate and the bottom plate, obtain the manufacturing lofting requirements The actual manufacturing length of the steel box girder top and bottom plates.
- 根据权利要求8所述的一种大节段钢箱梁端面制造倾角的计算方法，其特征在于，钢箱梁顶、底板制造放样长度的计算公式为：A method for calculating the manufacturing inclination angle of the end face of a large-section steel box girder according to claim 8, characterized in that the calculation formula for the manufacturing setting-out length of the top and bottom plates of the steel box girder is:
式中，为钢箱梁顶、底板制造放样长度。 In the formula,
Create lofting lengths for the top and bottom plates of steel box beams. - 根据权利要求6所述的一种大节段钢箱梁端面制造倾角的计算方法，其特征在于，中性轴的获取方式为A method for calculating the manufacturing inclination angle of the end face of a large-section steel box girder according to claim 6, characterized in that the neutral axis is obtained in the following way:
θ i＝α i-α i-1 θ i =α i -α i-1式中，θ i为设计竖曲线造成的水平夹角差，为中性轴修正长度，
为修正后中性轴长度。 In the formula, θ i is the horizontal angle difference caused by the designed vertical curve,
Corrected length for neutral axis,is the corrected neutral axis length.
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| CN112853917A (en) * | 2021-03-19 | 2021-05-28 | 中铁大桥勘测设计院集团有限公司 | Manufacturing configuration control method of box girder segment unit and bridge |
| CN113496095A (en) * | 2021-07-21 | 2021-10-12 | 中铁大桥勘测设计院集团有限公司 | Box girder stress-free configuration correction method, system, equipment and readable storage medium |
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| CN113496095A (en) * | 2021-07-21 | 2021-10-12 | 中铁大桥勘测设计院集团有限公司 | Box girder stress-free configuration correction method, system, equipment and readable storage medium |
| CN114417679A (en) * | 2022-03-02 | 2022-04-29 | 长沙理工大学 | Stress-free manufacturing line shape calculation method for steel girder of cable-stayed bridge |
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