Asymmetric longitudinal slope vertical curve bridge structure and design method and device thereof

By rotating the vertical curve of the tie rod to coincide with the vertical line, the problems of complex design and difficult processing of asymmetric vertical curve bridges are solved, and the design steps are simplified and manufacturing efficiency is improved.

CN119670204AActive Publication Date: 2025-03-21CHINA RAILWAY MAJOR BRIDGE ENG GRP CO LTD
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Patent Information

Application Number
CN202411742851.3
Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Filing Date
2024-11-29
Publication Date
2025-03-21
Estimated Expiration
2044-11-29

AI Technical Summary

Technical Problem

In the prior art, the design of asymmetric longitudinal slope vertical curved bridges is complex, and the structure processing and manufacturing is difficult, resulting in low design and manufacturing efficiency.

Method used

By rotating with either end point of the vertical curve of the tie rod as the rotation origin, the axis of symmetry coincides with the plumb line, thereby designing the sling and arch ribs in a symmetrical design, simplifying the design steps and facilitating pair processing.

Benefits of technology

The design steps are simplified, the workload and probability of errors in design and manufacturing are reduced, the overall efficiency is improved, and the overall benefits are significantly improved.

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Abstract

The invention discloses a vertical curve bridge structure with asymmetric longitudinal slopes and a design method and device thereof, and relates to the technical field of bridge design. The design method comprises the steps that any end point of a tie bar vertical curve serves as a rotation original point, and the other end point is rotated by a set angle until the connecting line of the two end points is horizontal; according to the vertical curve of the rotated tie bar, determining an arch rib and all slings to form a whole vertical curve bridge structure; and by taking any end point of the vertical curve of the tie bar as a rotation original point, reversely rotating the overall set angle of the vertical curve bridge structure until the two end points of the vertical curve of the tie bar are respectively overlapped with the two fulcrums. The invention further provides a design device for implementing the design method and a bridge designed through the design method. After the vertical curve of the tie bar is rotated by taking any end point as the rotation original point, the symmetry axis of the vertical curve coincides with the plumb line, so that the sling and the arch rib can be designed in a symmetrical design mode, and the design and manufacturing difficulty is greatly simplified.
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Description

Technical Field

[0001] The invention relates to the technical field of bridge design, and in particular to a vertical curved bridge structure with an asymmetric longitudinal slope and a design method and device thereof. Background Art

[0002] There are more and more bridges being built nowadays. Due to factors such as terrain changes, navigation clearance under the bridge, traffic clearance under the bridge, and surface drainage, it is necessary to set the longitudinal slope of the bridge. However, when designing the overall linear shape of the bridge, it is often difficult to design the beam surface linear shape of the bridge according to the principle of longitudinal slope symmetry for important and complex node bridges. The apex of the longitudinal slope is often difficult to set at the mid-span and the longitudinal slopes on the left and right sides of the mid-span are difficult to arrange symmetrically.

[0003] In the prior art, when designing such important bridges with asymmetric lines, the usual practice is to design and manufacture them according to the actual line shape of the main beam, which leads to asymmetric structural design and doubling the workload of drawing design. In addition, the work during structural processing and manufacturing is tedious and complicated, which increases the investment and the probability of error, thereby reducing the overall efficiency of design and manufacturing. Summary of the invention

[0004] In view of the defects existing in the prior art, the purpose of the present invention is to provide a vertical curved bridge structure with an asymmetric longitudinal slope and a design method and device thereof, so as to solve the problems of complex design and difficult structural processing and manufacturing of vertical curved bridges with asymmetric longitudinal slope in the prior art.

[0005] In order to achieve the above purpose, the technical solution adopted by the present invention is:

[0006] In a first aspect, the present application provides a method for designing a vertical curved bridge structure with an asymmetric longitudinal slope, comprising the following steps:

[0007] Take any end point of the tie rod vertical curve as the rotation origin, and rotate the other end point to set the angle until the line connecting the two end points is horizontal;

[0008] According to the rotated tie rod vertical curve, the arch ribs and all the suspenders are determined to form the overall vertical curve bridge structure;

[0009] Taking any of the above-mentioned end points of the tie rod vertical curve as the rotation origin, the above-mentioned vertical curve bridge structure is rotated in the opposite direction to achieve the overall setting angle until the two end points of the tie rod vertical curve coincide with the two supporting points respectively.

[0010] In some optional embodiments, the vertical curve of the tie rod is determined according to the two supporting points in the longitudinal direction of the bridge, a set radius and the slope of the longitudinal slopes on both sides.

[0011] In some optional embodiments, determining the vertical curve of the tie rod of the bridge structure according to the two supporting points in the longitudinal direction of the bridge, the set radius and the slope of the longitudinal slopes on both sides includes:

[0012] Determine the center of the curved line bar system according to the slopes of the two supporting points and the longitudinal slopes on both sides of the longitudinal bridge;

[0013] The tie rod vertical curve is determined according to the center of the tie rod vertical curve and the set radius.

[0014] In some optional embodiments, determining the center of the vertical curve of the tie rod according to the slopes of the two supporting points in the longitudinal direction of the bridge and the longitudinal slopes on both sides includes:

[0015] According to the slopes of the two supporting points of the longitudinal bridge and the longitudinal slopes on both sides, determine the connecting line of the two longitudinal slopes;

[0016] According to the connecting line of the two longitudinal slopes, determine the bisector of the angle between the two connecting lines;

[0017] According to the above angle bisector and the above tie rod vertical curve, the center of the tie rod vertical curve is determined.

[0018] In some optional embodiments, all slings are determined according to the vertical curve of the rotating tie rod, including:

[0019] The central axis of the vertical curve of the rotated tie rod is used as the design position of the central sling;

[0020] According to the design position of the above-mentioned central suspension cable, a plurality of side suspension cables are arranged at equal intervals on both sides of the longitudinal bridge.

[0021] In some optional embodiments, the arch rib is determined by taking the central axis of the vertical curve of the tie rod as the axis of symmetry and combining the force requirements.

[0022] In some optional embodiments, the lengths of the plurality of side suspension cables gradually decrease toward the end of the vertical curve of the tie rod.

[0023] In some optional embodiments, the angle between the sling and the plumb plane is the set angle.

[0024] In a second aspect, the present application further provides a device for designing a vertical curved bridge structure with an asymmetric longitudinal slope, which is used to implement any of the above-mentioned design methods, including:

[0025] A pre-adjustment module is used to use any end point of the vertical curve of the tie rod as the rotation origin and rotate the other end point to a set angle until the line connecting the two end points is horizontal;

[0026] The overall structure forming module is used to determine the arch ribs and all the suspenders according to the rotated vertical curve of the tie rod to form the overall vertical curve bridge structure;

[0027] The overall structure determination module is used to use any of the above-mentioned end points of the tie rod vertical curve as the rotation origin, and reversely rotate the above-mentioned vertical curve bridge structure to an overall set angle until the two end points of the tie rod vertical curve coincide with the two supporting points respectively.

[0028] In a third aspect, the present application also provides a vertical curved bridge structure with an asymmetric longitudinal slope, which is designed according to any of the above-mentioned design methods.

[0029] Compared with the prior art, the advantages of the present invention are:

[0030] By rotating the vertical curve of the tie rod with any end point as the rotation origin, so that its symmetry axis coincides with the plumb line, the design of the sling and arch rib can be carried out in a symmetrical design. This not only simplifies the design steps, but also the various structural components such as the tie rods, slings and arch ribs in the vertical curve bridge structure can be processed in pairs, which is convenient for processing and installation, greatly simplifies the difficulty of design and manufacturing, significantly reduces the workload of drawing design and processing and manufacturing, avoids tedious and complex work, reduces the probability of errors and various investments, improves overall efficiency, and has significant comprehensive benefits. BRIEF DESCRIPTION OF THE DRAWINGS

[0031] In order to more clearly illustrate the technical solutions in the embodiments of the present application, the drawings required for use in the description of the embodiments will be briefly introduced below. Obviously, the drawings described below are only some embodiments of the present application. For ordinary technicians in this field, other drawings can be obtained based on these drawings without creative work.

[0032] Figure 1 A schematic diagram of step S1 of a method for designing a vertical curved bridge structure with an asymmetric longitudinal slope according to the present invention;

[0033] Figure 2 is a schematic diagram of step S2 of the present invention;

[0034] Figure 3 is a schematic diagram of step S3 of the present invention;

[0035] Figure 4 The present invention is a schematic structural diagram of a vertical curved bridge structure with an asymmetric longitudinal slope.

[0036] In the figure: 1, fulcrum; 2, vertical curve of tie rod; 3, sling; 31, center sling; 32, side sling; 4, arch rib. DETAILED DESCRIPTION

[0037] In order to make the purpose, technical solution and advantages of the embodiments of the present application clearer, the technical solution in the embodiments of the present application will be clearly and completely described below in conjunction with the drawings in the embodiments of the present application. Obviously, the described embodiments are part of the embodiments of the present application, not all of the embodiments. Based on the embodiments in the present application, all other embodiments obtained by ordinary technicians in this field without making creative work are within the scope of protection of this application.

[0038] The embodiments of the present invention are further described in detail below with reference to the accompanying drawings.

[0039] Let me first introduce the existing technology: As a member of the arch bridge family, the tied arch bridge has the general characteristics of the arch bridge and its own unique characteristics. It is a type of bridge that combines the advantages of arch and beam. It combines the two basic structural forms of arch and beam to bear the load together, giving full play to the structural performance and combined effect of beam bending and arch compression. The horizontal thrust of the arch end is borne by the tie rod, so that the arch end support does not generate horizontal thrust.

[0040] Therefore, a tied arch bridge generally includes ties, arch ribs and cables. The setting of the ties is a key issue in the design of the tied arch. On the one hand, the connection between the ties and the arch ribs must be considered to ensure that the ties can bear the force together with the arch ribs; on the other hand, the interaction between the ties and the roadway must be considered to avoid damage to the bridge deck roadway due to obstruction of the tension of the ties.

[0041] In order to facilitate the structural connection at the supporting nodes, the arch ribs and tie rods are often designed to have the same cross-sectional form. Small and medium span arch bridges mostly use I-shaped cross-sections, and when the span is larger, box-shaped cross-sections are often used. Suspension cables are generally long and thin components, and are usually considered as axial load-bearing components during design. The current development trend is to use high-strength steel wire bundles or thick steel bars.

[0042] When designing an asymmetric linear bridge for terrain conditions with asymmetric left and right longitudinal slopes, due to the asymmetry of the bridge structure and the asymmetric vertical curves of all tie rods formed on the top surfaces, the tie rods, arch ribs and suspenders cannot be designed with the plumb line as the axis of symmetry. In particular, the design of each tie rod and suspender is usually based on the plumb direction, which makes the I-shaped sections and lengths of the assembled bodies at various locations on the entire bridge different, which not only need to be processed and installed separately, but also need to be designed separately.

[0043] In order to reduce the design and construction costs and the difficulty of processing and installation in the design and construction of asymmetric tied arch bridges, in the first aspect, the present application provides a method for designing a vertical curved bridge structure with an asymmetric longitudinal slope, comprising the following steps:

[0044] S1: Take any end point of the tie rod vertical curve 2 as the rotation origin, and rotate the other end point to set the angle until the line connecting the two end points is horizontal.

[0045] It can be understood that due to the different slopes of the two longitudinal slopes, the two endpoints of the tie rod vertical curve 2 are at different heights. Therefore, at the beginning of the design, it is necessary to rotate the tie rod vertical curve 2 so that the two endpoints are on the same horizontal line. After the asymmetric tie rod vertical curve is rotated, it becomes a symmetrical structure with the plumb plane as the symmetry axis, providing a symmetrical structural foundation for the subsequent design of the arch ribs and cables.

[0046] exist Figure 1 In the figure, the two end points of the tie rod vertical curve 2 are the two supporting points 1# and 2#, which are also the two supporting points of the final vertical curve bridge structure.

[0047] In some optional embodiments, the above-mentioned tie rod vertical curve 2 is determined according to the two supporting points 1 in the longitudinal direction of the bridge, the set radius and the slope of the longitudinal slopes on both sides.

[0048] Specifically, according to the two supporting points 1 in the longitudinal direction of the bridge, the set radius and the slope of the longitudinal slopes on both sides, the vertical curve 2 of the tie rod of the bridge structure is determined, including:

[0049] The center of the tie rod vertical curve 2 is determined according to the slopes of the two supporting points 1 and the longitudinal slopes on both sides of the longitudinal bridge; the tie rod vertical curve 2 is determined according to the center of the tie rod vertical curve 2 and the set radius.

[0050] In this example, the connection line of the two longitudinal slopes is first determined based on the two longitudinal bridge support points 1 and the slopes of the longitudinal slopes on both sides. In other words, with the two longitudinal bridge support points 1# and 2# as the starting point, the longitudinal slope slopes i1 and i2 corresponding to the two support points 1# and 2# are connected respectively, so that the two connection lines intersect.

[0051] Then, according to the connection line of the two longitudinal slopes, the bisector of the angle between the two connection lines is determined. Since the vertical curve of the tie rod is an asymmetric structure at this time, the bisector of the angle between the two connection lines is at an angle with the plumb line.

[0052] Finally, the center of the tie rod vertical curve 2 is determined based on the angle bisector and the set radius.

[0053] After determining the center of the tie rod vertical curve, use the above two supporting points 1# and 2# as the two end points of the tie rod vertical curve 2 and draw an arc. The resulting curve is the tie rod vertical curve.

[0054] Here, the tie rod vertical curve is the curve formed by the top surfaces of all tie rods. Determining the tie rod vertical curve lays the foundation for the arrangement and structure of the tie rods and also facilitates the subsequent manufacture of the beam body.

[0055] After determining the line type of the tie rod vertical curve, the arch ribs and suspenders can be designed based on the tie rod vertical curve.

[0056] Taking the figure as an example, with the 1# fulcrum as the rotation origin, rotate the 2# fulcrum counterclockwise by an angle of α2 so that the 1# fulcrum and the 2# fulcrum are located on the same horizontal line Z2. At this time, the angle bisector of the two longitudinal slope connection lines coincides with the plumb line. At the same time, the central axis of the vertical curve of the tie rod also coincides with the plumb line.

[0057] S2: According to the rotated tie rod vertical curve 2, the arch rib 4 and all the suspenders 3 are determined to form an integral vertical curve bridge structure.

[0058] by Figure 3 For example, the axis of the rotated tie rod vertical curve 2 coincides with the plumb line. Therefore, the axis of the rotated tie rod vertical curve 2 can be used as the axis of symmetry to start designing the arch ribs and the suspenders. The tie rods, arch ribs, suspenders, etc. are designed with the axis of the tie rod vertical curve 2 as the axis of symmetry, thereby simplifying the design steps and the processing difficulty of each structural component.

[0059] Specifically, when designing each suspension cable 3, the central axis of the rotated tie rod vertical curve 2 is used as the design position of the central suspension cable 31; according to the design position of the central suspension cable 31, a plurality of side suspension cables 32 are arranged at equal intervals on both sides of the longitudinal bridge.

[0060] That is to say, the design position of the central sling 31 is determined first, at which time the design position of the central sling 31 coincides with the central axis of the tie rod vertical curve 2, and then the length of the central sling 31 is determined in combination with the force requirements.

[0061] Taking the central sling 31 as a reference, side slings 32 are designed at intervals on both sides of the longitudinal bridge direction. At this time, all side slings on the left side of the central sling 31 and all side slings on the right side of the central sling 31 are symmetrically arranged with the central sling 31 as the axis.

[0062] It can be understood that the length of the side suspension rope 32 is set according to the force requirement, and the length of the side suspension rope gradually decreases as it approaches the two side support points 1.

[0063] When designing the arch rib 4, the central axis of the tie rod vertical curve 2 is also taken as the symmetry axis, and the line type of the arch rib 4 is determined in combination with the force requirements.

[0064] That is to say, the arch rib 4 is also designed with the central axis of the tie rod vertical curve 2 as the symmetry axis.

[0065] It should be noted that the arch ribs may be designed first and then the slings, or the slings may be determined first and then the arch ribs may be designed. Those skilled in the art may make corresponding choices based on the force requirements and design requirements, and no specific restrictions are made here.

[0066] S3: Taking any of the above-mentioned end points of the tie rod vertical curve 2 as the rotation origin, reversely rotate the above-mentioned vertical curve bridge structure as a whole to set an angle until the two end points of the tie rod vertical curve 2 coincide with the two supporting points 1 respectively.

[0067] It can be understood that after the overall design of the vertical curved bridge structure is completed, the above-mentioned set angle is rotated in the reverse direction to make it rotate back to the completed bridge state.

[0068] by Figure 4For example, still taking the 1# support as the rotation origin, rotate the 2# support clockwise by an angle of α2, so that the two endpoints of the tie rod vertical curve 2 coincide with the 1# and 2# supports respectively. At this time, the vertical curve bridge structure is obtained in the completed state.

[0069] At this time, the angle between the sling 3 and the vertical plane is the above-mentioned set angle.

[0070] It can be seen that after rotating the tie rod vertical curve 2 with any end point as the rotation origin, its symmetry axis coincides with the plumb line, so that the sling and arch rib can be designed in a symmetrical way. This not only simplifies the design steps, but also the structural components such as the tie rods, slings and arch ribs in the vertical curve bridge structure can be processed in pairs, which is convenient for processing and installation.

[0071] It should be noted that although the length, cross-sectional shape and installation position of the arch ribs, tie rods and cables are different from those obtained in the asymmetric design, this difference will not affect the overall stability and stress performance of the bridge structure.

[0072] In a second aspect, the present application also provides a vertical curve bridge structure design device with an asymmetric longitudinal slope, which is used to implement any of the above-mentioned design methods, including a pre-adjustment module, an overall structure forming module and an overall structure determining module.

[0073] Specifically, the pre-adjustment module is used to use any end point of the tie rod vertical curve 2 as the rotation origin, and rotate the other end point to set an angle until the line connecting the two end points is horizontal; the overall structure forming module is used to determine the arch rib 4 and all the cables 3 according to the rotated tie rod vertical curve 2 to form an overall vertical curve bridge structure; the overall structure determining module is used to use any of the above-mentioned end points of the tie rod vertical curve 2 as the rotation origin, and rotate the above-mentioned vertical curve bridge structure as a whole in the opposite direction to set an angle until the two end points of the tie rod vertical curve 2 coincide with the two fulcrums 1 respectively.

[0074] It can be understood that by inputting the line type of the tie rod vertical curve 2 into the pre-adjustment module, the tie rod vertical curve 2 can be used as the design reference, and the tie rod vertical curve 2 can be rotated so that its symmetry axis coincides with the plumb line. Then, the overall structure is formed into a module, and the arch ribs and cables are designed based on the symmetry axis of the rotated tie rod vertical curve as the symmetry axis of the vertical curve bridge structure as a whole. Finally, the overall structure is determined through the module, and the vertical curve bridge structure is rotated as a whole to a set angle to a completed bridge state, so that each structure can be processed and installed according to the completed bridge state.

[0075] In a third aspect, the present application also provides a vertical curved bridge structure with an asymmetric longitudinal slope, which is designed according to any of the above-mentioned design methods.

[0076] It can be understood that the vertical curved bridge structure designed by the design method of the present application is somewhat different from the bridge structure obtained by direct asymmetric design, but after digital model stress analysis, etc., it will not affect the overall stability, deformation and stress performance of the bridge structure.

[0077] The present invention provides a vertical curve bridge structure with an asymmetric longitudinal slope and a design method and a design device thereof. By rotating the tie rod vertical curve 2 with any end point as the rotation origin, the symmetry axis thereof coincides with the plumb line, so that the sling and arch rib can be designed in a symmetrical design manner. This not only simplifies the design steps, but also the various tie rods, slings, arch ribs and other structural components in the vertical curve bridge structure can be processed in pairs, which is convenient for processing and installation, greatly simplifies the difficulty of design and manufacturing, significantly reduces the workload of drawing design and processing and manufacturing, avoids tedious and complicated work, reduces the probability of error and various investments, improves overall efficiency, and has significant comprehensive benefits.

[0078] In the description of the present application, it should be noted that the terms "upper", "lower", etc. indicate orientations or positional relationships based on the orientations or positional relationships shown in the accompanying drawings, and are only for the convenience of describing the present application and simplifying the description, rather than indicating or implying that the device or element referred to must have a specific orientation, be constructed and operated in a specific orientation, and therefore cannot be understood as a limitation on the present application. Unless otherwise clearly specified and limited, the terms "installed", "connected", and "connected" should be understood in a broad sense, for example, it can be a fixed connection, a detachable connection, or an integral connection; it can be a mechanical connection, a welded connection, or an electrical connection; it can be a direct connection, or an indirect connection through an intermediate medium, or it can be a connection between the two elements. For those of ordinary skill in the art, the specific meanings of the above terms in the present application can be understood according to the specific circumstances.

[0079] It should be noted that, in this application, relational terms such as "first" and "second" are only used to distinguish one entity or operation from another entity or operation, and do not necessarily require or imply any such actual relationship or order between these entities or operations. Moreover, the terms "include", "comprise" or any other variants thereof are intended to cover non-exclusive inclusion, so that a process, method, article or device including a series of elements includes not only those elements, but also other elements not explicitly listed, or also includes elements inherent to such process, method, article or device. In the absence of further restrictions, the elements defined by the sentence "comprise a ..." do not exclude the presence of other identical elements in the process, method, article or device including the elements.

[0080] The above description is only a specific implementation of the present application, so that those skilled in the art can understand or implement the present application. Various modifications to these embodiments will be apparent to those skilled in the art, and the general principles defined herein can be implemented in other embodiments without departing from the spirit or scope of the present application. Therefore, the present application will not be limited to the embodiments shown herein, but will conform to the widest range consistent with the principles and novel features applied for herein.

Claims

1. A design method for a vertical curved bridge structure with an asymmetric longitudinal slope, characterized in that: The following steps are involved: Taking any end point of the tie rod vertical curve (2) as the rotation origin, rotate the other end point to set an angle until the line connecting the two end points is horizontal; According to the rotated tie rod vertical curve (2), the arch rib (4) and all the suspension cables (3) are determined to form an integral vertical curve bridge structure; Taking any end point of the tie rod vertical curve (2) as the rotation origin, the vertical curve bridge structure is rotated in the opposite direction to achieve the overall setting angle until the two end points of the tie rod vertical curve (2) coincide with the two supporting points (1) respectively.

2. The design method according to claim 1, characterized in that: The tie rod vertical curve (2) is determined according to the two supporting points (1) in the longitudinal direction of the bridge, a set radius and the slopes of the longitudinal slopes on both sides.

3. The design method according to claim 2, characterized in that: According to the two supporting points in the longitudinal direction of the bridge (1), the set radius and the slope of the longitudinal slopes on both sides, the vertical curve of the tie rod of the bridge structure (2) is determined, including: Determine the center of the tie rod vertical curve (2) based on the two longitudinal bridge support points (1) and the slopes of the longitudinal slopes on both sides; The tie rod vertical curve (2) is determined based on the center of the tie rod vertical curve (2) in combination with the set radius.

4. The design method according to claim 3, characterized in that: According to the two supporting points (1) in the longitudinal direction of the bridge and the slopes of the longitudinal slopes on both sides, the center of the vertical curve of the tie rod (2) is determined, including: According to the two supporting points (1) of the longitudinal bridge and the slopes of the longitudinal slopes on both sides, determine the connecting line of the two longitudinal slopes; According to the connecting line of the two longitudinal slopes, determine the bisector of the angle between the two connecting lines; The center of the tie rod vertical curve (2) is determined based on the angle bisector and the tie rod vertical curve.

5. The design method according to claim 1, characterized in that: According to the vertical curve of the rotating tie rod (2), all the slings (3) are determined to include: The central axis of the rotated tie rod vertical curve (2) is used as the design position of the central sling (31); According to the design position of the central sling (31), a plurality of side slings (32) are arranged at equal intervals on both sides of the longitudinal bridge.

6. The design method according to claim 1, characterized in that: The arch rib (4) is determined by taking the central axis of the tie rod vertical curve (2) as the axis of symmetry and combining the force requirements.

7. The design method according to claim 5, characterized in that: The lengths of the plurality of side suspension cables (32) gradually decrease toward the end of the tie rod vertical curve (2).

8. The design method according to claim 1, characterized in that: The angle between the sling (3) and the vertical plane is the set angle.

9. A device for designing a vertical curved bridge structure with an asymmetric longitudinal slope, characterized in that: Used to implement the design method according to any one of claims 1 to 8, comprising: A pre-adjustment module is used to use any end point of the tie rod vertical curve (2) as a rotation origin and rotate the other end point to set an angle until the line connecting the two end points is horizontal; An overall structure forming module, which is used to determine the arch rib (4) and all the suspension cables (3) according to the rotated tie rod vertical curve (2) to form an overall vertical curve bridge structure; The overall structure determination module is used to use any end point of the tie rod vertical curve (2) as the rotation origin and to reversely rotate the overall set angle of the vertical curve bridge structure until the two end points of the tie rod vertical curve (2) coincide with the two supporting points (1) respectively.

10. A vertical curved bridge structure with an asymmetric longitudinal slope, characterized in that: Designed according to the design method as described in any one of claims 1-8.

Citation Information

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