Prestressed dense rib beam hollow formwork anti-floating structure

CN224741841UActive Publication Date: 2026-09-11CHINA CONSTR SCI & IND CORP LTD
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Patent Information

Application Number
CN202521368009.8
Authority / Receiving Office
CN · China
Patent Type
Utility models(China)
Current Assignee / Owner
Filing Date
2025-06-30
Publication Date
2026-09-11
Estimated Expiration
2035-06-30

AI Technical Summary

Technical Problem

[0004]有鉴于此,本实用新型提供了一种预应力密肋梁空心模壳抗浮结构,以解决现有空心楼盖抗浮存在的施工复杂的问题

Benefits of technology

[0004]有鉴于此,本实用新型提供了一种预应力密肋梁空心模壳抗浮结构,以解决现有空心楼盖抗浮存在的施工复杂的问题。

✦ Generated by Eureka AI based on patent content.

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Abstract

The utility model relates to the technical field of building engineering, concretely relates to a prestressed dense rib beam hollow formwork anti -floating structure. Include: self -supporting box has the anti -floating channel to the hollow floor, anti -floating silk, penetrates anti -floating channel, and one end is connected with hollow floor, anti -floating steel, set up in the top position of self -supporting box, the other end of anti -floating silk is connected with anti -floating steel, in this application, anti -floating silk can pass through anti -floating channel and be connected with hollow floor, and the complex operation of directly penetrating self -supporting box of anti -floating silk is saved.
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Description

Technical Field

[0001] This utility model relates to the field of building engineering technology, specifically to a prestressed ribbed beam hollow mold shell anti-buoyancy structure. Background Technology

[0002] In recent years, my country's construction industry has developed rapidly, with a large number of buildings springing up. Large-space and long-span structures are quite common. Currently, large-space and long-span structures are mainly achieved through prestressing. Widely used structural forms include prestressed beams, prestressed ribbed beams, and prestressed hollow core slabs. Among these, the anti-buoyancy technology of prestressed hollow core slabs is an unavoidable topic.

[0003] Currently, the common method for preventing buoyancy in hollow core slabs is to directly insert iron wires through the formwork and then tie the wires together. However, this method presents a complex construction problem. Utility Model Content

[0004] In view of this, the present invention provides a prestressed ribbed beam hollow formwork anti-buoyancy structure to solve the problem of complex construction of existing hollow floor slab anti-buoyancy structures.

[0005] This utility model provides a prestressed ribbed beam hollow mold shell anti-buoyancy structure, comprising:

[0006] Self-supporting box, with anti-buoyancy channel facing the hollow floor slab;

[0007] Anti-buoyancy wire runs through the anti-buoyancy channel, and one end is connected to the hollow floor slab;

[0008] Anti-buoyancy reinforcement is installed at the top of the self-supporting box, and the other end of the anti-buoyancy wire is connected to the anti-buoyancy reinforcement.

[0009] In this application, the anti-buoyancy wire can pass through the anti-buoyancy channel and connect to the hollow floor slab, eliminating the complicated operation of directly threading the anti-buoyancy wire through the self-supporting box.

[0010] In one optional embodiment, the self-supporting box includes a top box, a bottom box, and a cement board disposed between the top box and the bottom box;

[0011] The cement board has a hole that is aligned with the anti-buoyancy channels on the top and bottom boxes.

[0012] In this application, the top box, bottom box, and cement board can be pre-assembled in the factory, and holes can be cut into the composite cement board to align with the anti-buoyancy channel of the self-supporting box. After the top box, bottom box, and cement board are transported to the construction site, they are assembled to form a complete self-supporting box.

[0013] In one alternative embodiment, the anti-buoyancy reinforcement passes through the port of the anti-buoyancy channel. This prevents the anti-buoyancy wire from rubbing and pulling against the sidewall of the anti-buoyancy channel during connection with the anti-buoyancy reinforcement, thus preventing damage to the anti-buoyancy wire.

[0014] In one optional implementation, the anti-buoyancy channels are two channels arranged side by side in the transverse direction. This enhances the anti-buoyancy effect.

[0015] In one optional embodiment, the anti-buoyancy reinforcement consists of three layers, including two longitudinal reinforcements and one transverse reinforcement.

[0016] Two longitudinal reinforcing bars pass through the ports of the two anti-buoyancy channels respectively, and one transverse reinforcing bar passes through the ports of the two anti-buoyancy channels at once.

[0017] In one alternative embodiment, the longitudinal reinforcement is located below the transverse reinforcement. Attached Figure Description

[0018] To more clearly illustrate the specific embodiments of this utility model or the technical solutions in the prior art, the drawings used in the description of the specific embodiments or the prior art will be briefly introduced below. Obviously, the drawings described below are some embodiments of this utility model. For those skilled in the art, other drawings can be obtained from these drawings without creative effort.

[0019] Figure 1 This is a schematic diagram of the structure of Embodiment 1 of the present utility model;

[0020] Figure 2 This is a schematic cross-sectional view of Embodiment 1A of the present invention;

[0021] Figure 3 This is a schematic cross-sectional view of Embodiment 1B of the present invention;

[0022] Figure 4 This is a flowchart illustrating Embodiment 2 of the present invention.

[0023] Explanation of reference numerals in the attached figures:

[0024] 1. Self-supporting box; 2. Anti-buoyancy channel; 3. Anti-buoyancy wire; 4. Longitudinal reinforcement; 5. Transverse reinforcement; 6. Bottom reinforcement; 7. Top reinforcement; 8. Plastic binding strap; 9. Longitudinal prestressed beam; 10. Transverse prestressed beam; 11. Upper anti-buoyancy fixing point; 12. Top box; 13. Bottom box; 14. Cement board. Detailed Implementation

[0025] To make the objectives, technical solutions, and advantages of the embodiments of this utility model clearer, the technical solutions of the embodiments of this utility model will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of this utility model, not all embodiments. Based on the embodiments of this utility model, all other embodiments obtained by those skilled in the art without creative effort are within the protection scope of this utility model.

[0026] In recent years, my country's construction industry has developed rapidly, with a large number of buildings springing up. Large-space and long-span structures are quite common. Currently, large-space and long-span structures are mainly achieved through prestressing. Widely used structural forms include prestressed beams, prestressed ribbed beams, and prestressed hollow core slabs. Among these, the anti-buoyancy technology of prestressed hollow core slabs is an unavoidable topic. Currently, the anti-buoyancy of hollow core slabs is basically achieved by binding iron wires through the formwork, which has problems such as complex construction and difficulty in tightening the iron wires.

[0027] Based on the above description, combined with technical accumulation, exploration and research on project site construction, and in conjunction with relevant standards, atlases and specifications, this application has effectively solved the problems of complex construction of anti-buoyancy measures and difficulty in tightening iron wires through standardized component production and prefabricated construction technology innovation. It is operable and feasible, and has achieved a dual improvement in project quality and construction efficiency.

[0028] The following is combined Figures 1 to 4 The following describes embodiments of the present invention.

[0029] Example 1

[0030] According to embodiments of the present invention, such as Figures 1 to 3 As shown, a prestressed ribbed beam hollow shell anti-buoyancy structure is provided, comprising:

[0031] The self-supporting box 1 has an anti-buoyancy channel 2 facing the hollow floor slab; the anti-buoyancy channel 2 passes through the self-supporting box 1.

[0032] Anti-buoyancy wire 3 runs through the anti-buoyancy channel 2 and is connected at one end to the hollow floor slab; the anti-buoyancy wire 3 can be an anti-buoyancy iron wire.

[0033] Anti-buoyancy reinforcement is installed at the top of the self-supporting box 1, and the other end of the anti-buoyancy wire 3 is connected to the anti-buoyancy reinforcement.

[0034] In this application, the anti-buoyancy wire 3 can pass through the anti-buoyancy channel 2 and connect to the hollow floor slab, eliminating the complicated operation of directly passing the anti-buoyancy wire 3 through the self-supporting box 1.

[0035] The anti-buoyancy channel 2 of the self-supporting box 1, together with the anti-buoyancy wire 3 and anti-buoyancy reinforcement, works synergistically to replace the traditional process of perforating the formwork with wire. In the traditional process, the wire needs to pass through the formwork and be tied to the bottom reinforcement 6. During construction, frequent positioning, perforation, and adjustment are required, which is inefficient and prone to failure due to loosening of the wire. In this application, the anti-buoyancy channel 2 is integrally formed with the self-supporting box 1, and the anti-buoyancy wire 3 passes directly through the channel and is fixed to the bottom reinforcement 6, eliminating the step of perforating the formwork and simplifying the construction process. Modular production and on-site assembly can improve construction efficiency and significantly reduce labor costs. At the same time, the standardized design of the anti-buoyancy channel 2 allows for forward quality control, reducing the risk of on-site adjustments and rework, and providing technical support for green construction.

[0036] In one alternative implementation, such as Figures 2 to 3 As shown, the self-supporting box 1 includes a top box 12, a bottom box 13, and a cement board 14 disposed between the top box 12 and the bottom box 13; the cement board 14 can be a composite cement board 14.

[0037] The cement board 14 has a hole, which is aligned with the anti-buoyancy channel 2 on the top box 12 and the bottom box 13.

[0038] In this application, the top box 12, bottom box 13, and cement board 14 can be pre-assembled in the factory, and the composite cement board 14 can be perforated to align with the anti-buoyancy channel 2 of the self-supporting box 1. After the top box 12, bottom box 13, and cement board 14 are transported to the construction site, they are assembled to form a complete self-supporting box 1.

[0039] The self-supporting box 1 is pre-assembled from a top box 12, a bottom box 13, and a perforated cement board 14, offering advantages in industrialized production and ease of construction. Traditional formwork is mostly prefabricated as a whole or assembled on-site, resulting in problems such as inconvenient transportation and large positioning errors. This application, however, pre-assembles the top box 12, bottom box 13, and perforated cement board 14 in the factory, ensuring precise alignment of the anti-buoyancy channel 2 and reducing on-site assembly difficulty. The perforated design of the composite cement board 14 not only facilitates the passage of the anti-buoyancy wire 3 but also reduces the self-weight of the formwork, lowering buoyancy during concrete pouring. Furthermore, the modular design facilitates transportation and hoisting, reducing the breakage rate of the formwork during transport. On-site assembly requires only standardized procedures, significantly shortening the construction period. This structure also enhances the overall rigidity of the formwork, preventing deformation caused by uneven stress during pouring and ensuring the flatness and density of the hollow floor slab.

[0040] In one alternative implementation, such as Figures 1 to 3 As shown, the anti-buoyancy reinforcing bar passes through the port of the anti-buoyancy channel 2. An upper anti-buoyancy fixing point 11 can be formed at the port of the anti-buoyancy channel 2. This can prevent the anti-buoyancy wire 3 from rubbing and pulling against the side wall of the anti-buoyancy channel 2 when connected to the anti-buoyancy reinforcing bar, thus preventing damage to the anti-buoyancy wire 3.

[0041] The design of the anti-buoyancy reinforcement passing through the port of the anti-buoyancy channel 2 achieves double fixation of the anti-buoyancy system. In traditional methods, the anti-buoyancy reinforcement is only fixed by binding or welding, which is prone to displacement due to concrete flow or vibration. In this application, the anti-buoyancy reinforcement directly passes through the port of the anti-buoyancy channel 2, forming a physical limit and ensuring a stable connection between the reinforcement and the anti-buoyancy wire 3. In addition, the fixation of the reinforcement at the port enhances the overall integrity of the anti-buoyancy system, allowing the anti-buoyancy force to be evenly transmitted to the formwork and floor structure through the reinforcement. This design also facilitates the quick positioning of the anti-buoyancy reinforcement by construction personnel, reducing measurement errors. Combined with the use of plastic binding tape 8, the fastening efficiency between the anti-buoyancy wire 3 and the reinforcement is further improved, avoiding the defect of easy loosening of traditional wire binding. This implementation method improves the reliability of anti-buoyancy while reducing the later maintenance cost.

[0042] In one alternative implementation, such as Figures 1 to 3 As shown, the anti-buoyancy channel 2 consists of two channels arranged side-by-side in the transverse direction. This side-by-side arrangement of the two transverse anti-buoyancy channels 2 optimizes the distribution and transmission path of the anti-buoyancy force. Traditional single-channel designs may lead to the concentration of anti-buoyancy force in a localized area, easily causing the formwork to tilt or the concrete to become hollow. The dual-channel design, by increasing the stress points, disperses the buoyancy force over a wider area, significantly improving the stability of the formwork. Simultaneously, the two channels can serve as observation windows for the compaction of the concrete pouring, allowing construction personnel to check the filling condition of the concrete below the self-supporting box 1 in real time, avoiding structural defects caused by insufficient compaction. The dual channels also enhance the anti-buoyancy redundancy of the formwork; even if one channel fails due to construction errors, the other channel can still provide effective anti-buoyancy force, ensuring construction safety. This application balances functionality and fault tolerance, providing higher assurance for construction under complex conditions.

[0043] In one alternative implementation, such as Figure 1 As shown, the anti-buoyancy reinforcement consists of three layers, including two longitudinal reinforcements 4 and one transverse reinforcement 5;

[0044] Among them, two longitudinal steel bars 4 pass through the ports of the two anti-buoyancy channels 2 respectively, and one transverse steel bar 5 passes through the ports of the two anti-buoyancy channels 2 once.

[0045] The arrangement of three layers of anti-buoyancy reinforcement (two longitudinal and one transverse) forms a spatial network anti-buoyancy system. Traditional methods often use anti-buoyancy reinforcement in a single direction, relying solely on unidirectional constraints for buoyancy resistance, which is prone to reinforcement displacement due to concrete flow. In this application, the longitudinal reinforcement 4 passes through the dual-channel ports, and the transverse reinforcement 5 covers the transverse span of the channels, forming a crisscrossing constraint network. The longitudinal reinforcement 4 is located below the transverse reinforcement 5, further utilizing gravity to enhance the stability of the anti-buoyancy system. This combined design not only improves the uniformity of anti-buoyancy force but also restricts the displacement freedom of the formwork through multi-directional constraints, effectively counteracting the dynamic buoyancy during concrete pouring. Furthermore, the arrangement of the three layers of reinforcement facilitates phased construction, reduces interference from overlapping operations, and improves construction efficiency.

[0046] In one alternative embodiment, the longitudinal reinforcing bar 4 is located below the transverse reinforcing bar 5.

[0047] Example 2

[0048] like Figure 4 As shown, this utility model also provides a prestressed ribbed beam hollow formwork anti-buoyancy construction method, applicable to the prestressed ribbed beam hollow formwork anti-buoyancy structure as described above, including the following steps:

[0049] S1, one end of the anti-buoyancy wire 3 is connected to the bottom reinforcement 6 of the hollow floor slab; the anti-buoyancy wire 3 can be fixed to the bottom reinforcement 6, converting the structural self-restraint force into anti-buoyancy force, solving the problem of the disconnect between anti-buoyancy measures and the structure in traditional processes. Traditional anti-buoyancy wire 3 relies solely on formwork for fixation, which is prone to failure due to formwork deformation or concrete flow. This application, by binding the anti-buoyancy wire 3 to the bottom reinforcement 6 of the ribbed beam, utilizes the stiffness and anchorage force of the bottom reinforcement 6 to form a stable anti-buoyancy system. This connection method not only improves the reliability of the anti-buoyancy system, but also prevents the lower reinforcement from sagging through the restraint effect of the bottom reinforcement 6, ensuring that the protective layer thickness meets the specifications. In addition, the binding and fixing process simplifies the construction steps, reduces the use of special tools, and lowers construction costs.

[0050] S2, place the self-supporting box 1, and the free end of the anti-buoyancy wire 3 passes through the anti-buoyancy channel 2 and connects to the anti-buoyancy reinforcement; the free end of the anti-buoyancy wire 3 and the anti-buoyancy reinforcement can be tied together using plastic binding tape 8. Plastic binding tape 8 replaces traditional wire binding, offering both efficiency and environmental advantages. Traditional wire binding requires special tools and can easily injure workers, while plastic binding tape 8 is easy to operate, requiring only manual tightening to complete the fixation, saving time. The plastic material is corrosion-resistant and has good insulation, avoiding the rusting problem of wire in the concrete environment and extending the durability of the anti-buoyancy system. In addition, plastic binding tape 8 is lightweight and low-cost, reducing material waste and conforming to the concept of green construction. Its flexibility can also adapt to small displacements during concrete pouring, avoiding stress concentration caused by rigid connections. The anti-buoyancy wire 3 is tied to the intersection of the longitudinal reinforcement 4 and the transverse reinforcement 5 using plastic binding tape 8.

[0051] Among them, the anti-buoyancy wire 3 is fixed and tightened between the bottom reinforcement 6 and the anti-buoyancy steel bar of the hollow floor slab.

[0052] S3, pouring concrete for the hollow floor slab.

[0053] In this application, one end of the anti-buoyancy wire 3 is first connected to the hollow floor slab, and then the free end of the anti-buoyancy wire 3 is passed through the anti-buoyancy channel 2 and connected to the anti-buoyancy steel bar, which can save the complicated construction operation of directly passing the anti-buoyancy wire 3 through the self-supporting box 1.

[0054] In one optional implementation, prior to step S1, the method further includes:

[0055] The top box 12, bottom box 13 and cement board 14 are pre-assembled.

[0056] In an optional embodiment, in step S2, the ribbed beams of the hollow floor slab include longitudinal prestressed beams 9 and transverse prestressed beams 10, and the self-supporting box 1 is placed within the grid structure formed by the longitudinal prestressed beams 9 and transverse prestressed beams 10. The hollow floor slab is provided with bottom reinforcement 6 and top reinforcement 7, and the bottom reinforcement 6 is connected to the ribbed beam reinforcement.

[0057] The factory pre-assembly of the self-supporting box 1 and the on-site grid structure positioning demonstrate the efficiency of prefabricated construction. Traditional formwork requires piece-by-piece installation on-site, which is time-consuming and has low precision. This solution ensures the standardization of formwork dimensions and passageway positions by pre-assembling the top box 12, bottom box 13, and cement board 14 in the factory. During on-site construction, the formwork is directly embedded in the grid formed by the prestressed beams without additional adjustments, significantly shortening the construction period. The grid structure positioning also enhances the coordinated stress distribution between the formwork and the beams, avoiding floor deformation caused by formwork displacement. In addition, this application reduces the occupation of on-site work space, lowers the risk of high-altitude operations, and meets the safety and environmental protection requirements of green construction.

[0058] In one optional implementation, step S3 includes:

[0059] The concrete is poured in three layers. The first layer is poured to a height 100mm above the bottom surface of the self-supporting box 1. The second layer is poured before the first layer initially sets, and the third layer is poured before the second layer initially sets. During the pouring of the first layer, the concrete pouring condition below the self-supporting box 1 is observed through an anti-buoyancy wire channel. The second layer can only be poured after the concrete below the self-supporting box 1 is ensured to be dense. The anti-buoyancy channel 2 enables real-time and visual quality control of the pouring process. In traditional construction, the density of the concrete below the formwork relies on experience or later testing, which poses potential quality risks. This application allows direct observation of the concrete filling condition through the anti-buoyancy channel 2. Construction personnel can promptly check for voids after the first layer is poured, ensuring density before proceeding with subsequent pours. This "process control" model addresses quality issues proactively, reducing rework and repair costs. The observation function also improves construction transparency, facilitating acceptance by the supervision unit and providing technical assurance for full-process control of project quality.

[0060] The three-layer pouring process ensures both concrete density and structural integrity by controlling the pouring rhythm. Traditional single-layer pouring is prone to causing the formwork to float or the bottom to become hollow due to excessive concrete weight. In this scheme, the first layer is poured to 100mm above the bottom of the formwork, initially creating weight on the formwork; the second layer is completed before the first layer initially sets, utilizing the bonding strength during the initial setting stage to enhance interlayer bonding; the third layer finally covers to the design elevation. Layered pouring reduces the amount of concrete poured in a single pour, reduces buoyancy impact, and avoids cold joints by controlling the initial setting time. Construction personnel can also observe the pouring quality of each layer through the anti-buoyancy channel 2 and adjust the vibration strategy in a timely manner. This application significantly improves the forming quality of hollow floor slabs, reduces the hollow rate, and extends the service life of the structure.

[0061] This application applies to all concrete structures with hollow formwork (self-supporting box 1).

[0062] In this application, two anti-buoyancy channels 2 are designed in the middle of the hollow mold shell for threading anti-buoyancy wires.

[0063] In the anti-buoyancy measures of this application, the anti-buoyancy wires do not need to pass through the concrete formwork, the layout of the anti-buoyancy wires is optimized, the construction process is simplified, and a lot of labor costs are saved.

[0064] The lower end of the anti-buoyancy wire in this application is tied and fixed to the bottom reinforcement 6 of the hollow floor slab. The constraint force of the closely ribbed beam reinforcement on the bottom reinforcement 6 is used as the anti-buoyancy force. At the same time, the wire is tied and fixed to the bottom reinforcement 6, which can prevent the bottom bottom reinforcement 6 from falling to the formwork surface to a certain extent and ensure the thickness of the protective layer.

[0065] In this application, the self-supporting box 1 is a hollow mold shell with two anti-buoyancy wire channels in the middle. This can not only take anti-buoyancy measures, but also reduce the buoyancy of the mold shell, and also allow for observation of the compactness of the floor slab pouring below the mold shell, thus avoiding concrete hollowing.

[0066] This utility model innovatively proposes an industrialized anti-buoyancy technology system applicable to prefabricated hollow floor slab structures, achieving green construction goals through standardized design.

[0067] Two through-type anti-buoyancy channels 2 are designed in the hollow formwork, and a two-way anti-buoyancy system is formed by adopting a modular structure: on the one hand, the anti-buoyancy wire is reliably connected to the bottom reinforcement 6 of the closely ribbed beam, and a stable anti-buoyancy system is formed by the self-restraint of the structure, eliminating the traditional formwork perforation process, improving construction efficiency by more than 10%, and saving a lot of labor costs; on the other hand, the anti-buoyancy channel 2 is innovatively given a visual monitoring function, and construction personnel can observe the concrete pouring density in real time through the channel, effectively avoiding hollow quality defects.

[0068] This application fully embodies the characteristics of industrialized construction. By standardizing the formwork and streamlining the process, it significantly reduces on-site high-altitude operations and material waste. Its dual-function channel design simultaneously realizes forward quality control and efficient resource utilization, providing an innovative solution for green building structural systems.

[0069] In this application, two anti-buoyancy channels 2 are designed in the middle of the hollow formwork shell, which can not only take anti-buoyancy measures, but also reduce the buoyancy of concrete on the formwork shell. The lower end of the anti-buoyancy wire is tied to the bottom reinforcement 6, which can prevent the bottom layer of reinforcement from falling to the formwork surface to a certain extent and ensure the thickness of the protective layer.

[0070] Although embodiments of the present invention have been described in conjunction with the accompanying drawings, those skilled in the art can make various modifications and variations without departing from the spirit and scope of the present invention, and such modifications and variations all fall within the scope defined by the appended claims.

Claims

1. A prestressed ribbed beam hollow shell anti-buoyancy structure, characterized in that, include: Self-supporting box (1), with anti-buoyancy channel (2) facing the hollow floor slab; Anti-buoyancy wire (3) runs through the anti-buoyancy channel (2) and is connected at one end to the hollow floor slab; Anti-buoyancy reinforcement is set at the top of the self-supporting box (1), and the other end of the anti-buoyancy wire (3) is connected to the anti-buoyancy reinforcement.

2. The prestressed ribbed beam hollow mold shell anti-buoyancy structure according to claim 1, characterized in that, The self-supporting box (1) includes a top box (12), a bottom box (13), and a cement board (14) disposed between the top box (12) and the bottom box (13); The cement board (14) has a hole and is aligned with the anti-buoyancy channel (2) on the top box (12) and bottom box (13).

3. The prestressed ribbed beam hollow mold shell anti-buoyancy structure according to claim 1, characterized in that, The anti-buoyancy steel bar passes through the port of the anti-buoyancy channel (2).

4. The prestressed ribbed beam hollow mold shell anti-buoyancy structure according to claim 1, characterized in that, The anti-buoyancy channel (2) consists of two channels, arranged side by side in the horizontal direction.

5. The prestressed ribbed beam hollow mold shell anti-buoyancy structure according to claim 4, characterized in that, The anti-buoyancy reinforcement consists of three layers, including two longitudinal reinforcements (4) and one transverse reinforcement (5); Among them, two longitudinal steel bars (4) pass through the ports of the two anti-buoyancy channels (2) respectively, and one transverse steel bar (5) passes through the ports of the two anti-buoyancy channels (2) once.

6. The prestressed ribbed beam hollow mold shell anti-buoyancy structure according to claim 5, characterized in that, The longitudinal reinforcement (4) is located below the transverse reinforcement (5).