Rigid connection prefabricated special-shaped beam plus axil area grouting anchoring device and method
By using a rigid connection device of a grouting sleeve and an exhaust pipe in the axil area of prefabricated special-shaped beams, the problems of steel bar overlap and safety hazards during the anchoring of steel bars in the axil area of special-shaped beams are solved, and efficient and safe anchoring effects and assembly efficiency are achieved.
Patent Information
- Application Number
- CN201911383431.X
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- Filing Date
- 2019-12-28
- Publication Date
- 2025-09-16
- Estimated Expiration
- 2039-12-28
AI Technical Summary
In prefabricated building projects, during the anchoring process of the steel bars in the armpit area of prefabricated special-shaped beams, the anchoring steel bars are easily inverted or overlapped with the cast-in-place column steel bars, which affects the construction effect and poses a safety hazard. In addition, the adjustment is cumbersome and time-consuming, and cannot guarantee compliance with the specifications.
A rigid connection prefabricated special-shaped beam with axillary grouting anchoring device is used, including axillary beams, grouting sleeves, anchoring steel bars and exhaust pipes. The grouting sleeves are welded and fixed to the stirrups. The grouting holes and exhaust pipes are set at the ends of the prefabricated special-shaped beams. The anchoring steel bars are extended into the sleeves and connected to the column retained steel bars, and are solidified by concrete grouting.
It improves the construction effect and safety of steel bar anchorage in the axil area of special-shaped beams, simplifies the construction process, improves assembly efficiency, saves labor costs, and ensures that the anchorage quality meets the requirements of the specifications.
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Figure CN111005447B_ABST
Abstract
Description
Technical Field
[0001] The invention belongs to the field of building construction devices, and in particular relates to a rigidly connected prefabricated special-shaped beam plus axil area grouting anchoring device and a method thereof. Background Art
[0002] In prefabricated construction projects, the armpit reinforcement of prefabricated special-shaped beams is typically tied and connected to the stirrups during the beam reinforcement binding process. During the pouring of prefabricated special-shaped beams, the anchoring bars are prone to inversion, causing them to overlap with the steel bars retained in the structural columns, affecting the pouring effect. Furthermore, during the assembly process, the anchoring bars and the steel bars retained in the structural columns intersect vertically and horizontally, posing a safety hazard. Any conflicts require repositioning, a cumbersome, time-consuming, and labor-intensive process, and there's no guarantee that the anchoring bars will be placed in compliance with regulatory requirements.
[0003] In the construction of special-shaped beams, especially in the steel bar anchoring construction in the armpit area of special-shaped beams, how to ensure the safety of special-shaped beam assembly construction and improve the construction effect of special-shaped beam armpit anchoring is a major technical problem faced by the construction site. Summary of the Invention
[0004] The purpose of the present invention is to solve the problems existing in the prior art and provide a rigid connection prefabricated special-shaped beam plus axil area grouting anchoring device.
[0005] The specific technical solutions adopted in the present invention are as follows:
[0006] A rigid connection prefabricated special-shaped beam axil area grouting anchoring structure, the anchoring structure is used to anchor the prefabricated special-shaped beam component to the cast-in-place column; the grouting anchoring structure includes an axil beam, a grouting sleeve, an anchoring steel bar and an exhaust pipe; the end of the prefabricated special-shaped beam component is erected on the cast-in-place column through the axil beam, one end of the prefabricated special-shaped beam steel bar arranged in the prefabricated special-shaped beam component extends out of the end section of the prefabricated special-shaped beam component and is tied and connected with the column retained steel bar of the cast-in-place column; the grouting sleeve is arranged in the axil beam, The sleeve body is welded and fixed to the stirrups of the prefabricated special-shaped beam component, and is wrapped and fixed by the concrete in the axil beam; the sleeve body is provided with grouting holes and grouting holes, the grouting holes are located outside the end section of the prefabricated special-shaped beam component, and the grouting holes are connected to an exhaust pipe, the outlet of the exhaust pipe extends out of the end section of the prefabricated special-shaped beam component; one end of the anchor steel bar extends into the sleeve body, is solidified by grouting of concrete in the sleeve body, and the other end extends out of the sleeve body for connection with the column retained steel bar.
[0007] Preferably, a plurality of grouting sleeves are arranged at intervals in the horizontal direction in the axil beam, and each grouting sleeve is provided with the anchoring steel bar and the exhaust pipe.
[0008] Furthermore, the grouting sleeves are arranged in parallel.
[0009] Furthermore, among the multiple grouting sleeves, the distance between any two grouting sleeves does not exceed 1.5m.
[0010] Preferably, the exhaust pipe is a hose.
[0011] Preferably, the anchoring steel bar passes through the entire sleeve body axially.
[0012] Preferably, the outlet end of the exhaust pipe is tied and fixed to the steel bars retained in the column.
[0013] Preferably, a plurality of prefabricated special-shaped beam components are simultaneously erected on the cast-in-situ column.
[0014] Another object of the present invention is to provide a method for grouting and anchoring axilla areas of rigidly connected prefabricated special-shaped beams, the steps of which are as follows:
[0015] S1: According to the design parameters of the prefabricated special-shaped beam component and the haunch beam, the prefabricated special-shaped beam reinforcement and stirrups are tied in the area where the prefabricated special-shaped beam component is located. Then, several grouting sleeves are laid in parallel in the area where the haunch beam is located, and the sleeve bodies of the grouting sleeves are welded to the stirrups. After the fixing is completed, the grouting holes on the sleeve bodies are located outside the end section of the prefabricated special-shaped beam component, and the grouting holes are connected to an exhaust pipe, and the outlet of the exhaust pipe extends out of the end section of the prefabricated special-shaped beam component.
[0016] S2: The mold is arranged according to the cross-sectional design dimensions of the prefabricated special-shaped beam components, and holes are drilled and reinforced on the template for each component extending out of the end cross-sectional area of the prefabricated special-shaped beam components to avoid deformation and blockage caused by mold expansion;
[0017] S3: After the formwork is completed, concrete is poured and cured to form prefabricated special-shaped beam components and haunch beams;
[0018] S4: According to the construction process, the prefabricated special-shaped beam component is hoisted as a whole onto the cast-in-place column, and assembled on the top surface of the cast-in-place column by adding haunch beams. After the hoisting is completed, the protruding end of the prefabricated special-shaped beam reinforcement is tied and connected with the column retained reinforcement of the cast-in-place column;
[0019] S5: Anchor the anchor steel bar into the grouting sleeve according to the designed anchoring length, and extend the end of the anchor steel bar out of the sleeve body to connect it with the column retained steel bar;
[0020] S6: Then, concrete grouting is injected through the grouting holes, and the air in the grouting sleeve is discharged through the exhaust pipe connected to the grouting hole; after the grouting in the grouting sleeve is completed, it is cured and solidified.
[0021] Preferably, during the assembly and hoisting process of the prefabricated special-shaped beam component, care should be taken to protect the retained parts of the components extending out of the end cross-section of the prefabricated special-shaped beam component to avoid deformation.
[0022] Compared with the prior art, the present invention has the following beneficial effects:
[0023] The present invention's rigidly connected prefabricated special-shaped beam axil area grouting and anchoring device meets the requirements for axil area reinforcement anchoring and assembly construction, achieving excellent anchoring and assembly results and a high assembly and installation rate. Compared to conventional prefabricated special-shaped beam axil area reinforcement anchoring, the novel grouting sleeve anchoring connection utilizes a grouting sleeve. After assembly, the anchoring steel bar is directly grouted through the sleeve, resulting in safe and reliable assembly and a simple construction method and process. Furthermore, the use of the finished grouting sleeve during assembly significantly improves project assembly efficiency, enhances construction safety, and reduces labor and installation costs. BRIEF DESCRIPTION OF THE DRAWINGS
[0024] Figure 1 This is a schematic diagram of the assembly of the rigid connection prefabricated special-shaped beam plus the armpit area grouting anchor device;
[0025] Figure 2 This is a schematic diagram of the placement of the grouting sleeve;
[0026] Figure 3 This is a schematic diagram of the connection between the grouting sleeve and the exhaust pipe;
[0027] Figure 4 This is a schematic diagram of the connection between the grouting sleeve and the anchor steel bar;
[0028] Figure 5 It is a schematic cross-sectional diagram of the overlapping position of the prefabricated special-shaped beam component and the added haunch beam.
[0029] The reference numerals in the figure are: prefabricated special-shaped beam component 1, cast-in-place column 2, prefabricated special-shaped beam reinforcement 3, column retained reinforcement 4, axilla beam 5, grouting sleeve 6, sleeve body 601, grouting hole 602, grouting hole 603, stirrups 7, anchor reinforcement 8, exhaust pipe 9, concrete grouting 10. DETAILED DESCRIPTION
[0030] The present invention will be further described and illustrated below with reference to the accompanying drawings and specific embodiments. The technical features of each embodiment of the present invention may be combined accordingly, provided that there is no conflict between them.
[0031] The grouting and anchoring structure of the axilla area of the prefabricated special-shaped beam is mainly used to anchor the prefabricated special-shaped beam component 1 to the cast-in-place column 2. The prefabricated special-shaped beam component 1 in the present invention is a prefabricated part, which is prefabricated in the factory and then transported to the site for hoisting. In conventional construction processes, the anchoring steel bars in the axilla area are usually cast together with the beam steel bars of the main beam, and then the two are tied and connected with the retained steel bars of the cast-in-place column during the hoisting process. However, during the casting process of the prefabricated special-shaped beam, the anchoring steel bars in the axilla area are prone to overlap with the steel bars of the beam itself, affecting the casting effect. At the same time, after the anchoring steel bars in the axilla area are solidified, they are prone to position conflicts with the retained steel bars of the cast-in-place column during the hoisting process. Re-adjusting the position will delay the construction progress, and may also result in non-compliance with the specifications. Therefore, in this embodiment, the grouting and anchoring structure is redesigned.
[0032] like Figure 1 Figure 2 shows a novel rigidly connected prefabricated special-shaped beam with axillary grouting and anchoring structure, provided in a preferred embodiment of the present invention. The grouting and anchoring structure comprises axillary beams 5, grouting sleeves 6, anchoring steel bars 8, and an exhaust pipe 9. It should be noted that since the axillary grouting and anchoring structure is assembled through prefabrication and hoisting during construction, the structure described below is the assembled structure. The construction process will be described in detail later.
[0033] The haunch beam 5 is provided on the bottom surface of the end of the prefabricated special-shaped beam component 1 and can be cast integrally with the prefabricated special-shaped beam component 1. After hoisting, the end of the prefabricated special-shaped beam component 1 is mounted on the cast-in-place column 2 via the haunch beam 5. The prefabricated special-shaped beam reinforcement 3 is pre-arranged in the prefabricated special-shaped beam component 1 before casting, and the prefabricated special-shaped beam reinforcement 3 is externally tied with circumferential stirrups 7. One end of the prefabricated special-shaped beam reinforcement 3 arranged in the prefabricated special-shaped beam component 1 extends out of the end section of the prefabricated special-shaped beam component 1 and is tied and connected to the column retention reinforcement 4 of the cast-in-place column 2.
[0034] like Figure 2 As shown, the grouting sleeve 6 is set in the axillar beam 5, and its sleeve body 601 is welded and fixed to the stirrups 7 of the prefabricated special-shaped beam component 1, and is wrapped and fixed by the concrete in the axillar beam 5. Figure 3 As shown, the sleeve body 601 is provided with a grouting hole 602 and a grouting hole 603. After the prefabricated special-shaped beam component 1 is poured and solidified, the grouting hole 602 should be kept outside the end section of the prefabricated special-shaped beam component 1, and the grouting hole 603 is connected to an exhaust pipe 9, and the outlet of the exhaust pipe 9 also needs to extend out of the end section of the prefabricated special-shaped beam component 1. It is best to use a hose for the above-mentioned exhaust pipe 9 to facilitate bending and fixing. The exhaust pipe 9 is connected to the grouting hole 603 before pouring, but its outlet end is preferably tied and fixed to the column retained steel bar 4 in advance to prevent it from being buried in the concrete during pouring. Figure 4As shown, one end of the anchoring steel bar 8 to be anchored extends into the sleeve body 601 and is solidified by the concrete grouting 10 in the sleeve body 601, and the other end extends out of the sleeve body 601 for connection with the column retained steel bar 4.
[0035] In this anchoring structure, the sleeve body 601 and the exhaust pipe 9 are pre-cast in the prefabricated special-shaped beam component 1, but the anchoring steel bar 8 does not need to be pre-cast. Therefore, on the one hand, it simplifies the casting complexity of the prefabricated special-shaped beam component 1 and ensures the casting quality. On the other hand, it also avoids the situation where the anchoring steel bar 8 conflicts with the column retained steel bar 4 on the cast-in-place column 2 during the hoisting process. The anchoring steel bar 8 is inserted into the sleeve body 601 after the subsequent hoisting is completed. Since the outlet of the exhaust pipe 9 and the grouting hole 602 are both located outside the end section of the prefabricated special-shaped beam component 1, grouting can be carried out after the anchoring steel bar 8 is inserted, and the internal space of the sleeve body 601 is filled with concrete grouting 10, and the air in the sleeve body 601 is discharged through the exhaust pipe 9 to ensure the density of the grouting.
[0036] The cross-sectional diagram of the overlap position of the prefabricated special-shaped beam component and the added haunch beam is as follows: Figure 5 As shown. Generally speaking, because the axilla beam 5 has a certain width, multiple grouting sleeves 6 should be arranged horizontally at intervals. Each grouting sleeve 6 is equipped with anchoring steel bars 8 and an exhaust pipe 9. The grouting sleeves 6 are arranged parallel to each other. To ensure overall strength, the distance between any two grouting sleeves 6 should not exceed 1.5m.
[0037] In addition, the anchoring length of the anchoring steel bar 8 needs to be determined according to relevant specifications and mechanical requirements. In order to ensure strength, the anchoring steel bar 8 is preferably axially passed through the entire sleeve body 601.
[0038] Based on the above-mentioned new rigid connection prefabricated special-shaped beam plus axil area grouting and anchoring structure, a rigid connection prefabricated special-shaped beam plus axil area grouting and anchoring construction method is described below.
[0039] The main steps of the construction process are as follows: construction preparation → placement of grouting sleeves → installation of prefabricated special-shaped beam formwork → pouring of concrete on special-shaped beams → assembly and hoisting of prefabricated special-shaped beams → placement of anchor steel bars → grouting connection.
[0040] The specific steps are as follows:
[0041] 1) Construction preparation
[0042] Complete the hardening of the construction site road and plan the layout of the grouting sleeves in the armpit area.
[0043] 2) Placement of grouting sleeve
[0044] According to the design parameters of the prefabricated special-shaped beam component 1 and the axillar beam 5, the grouting sleeve layout is planned. First, the prefabricated special-shaped beam reinforcement 3 and stirrups 7 are tied with wire in the area where the prefabricated special-shaped beam component 1 is located. Then, several grouting sleeves 6 are laid in parallel in the area where the axillar beam 5 is located, and the sleeve body 601 of the grouting sleeve 6 is welded and fixed to the stirrups 7. After the fixing is completed, the grouting hole 602 on the sleeve body 601 is located outside the end section of the prefabricated special-shaped beam component 1, and the grouting hole 603 is connected to an exhaust pipe 9, and the outlet of the exhaust pipe 9 extends out of the end section of the prefabricated special-shaped beam component 1;
[0045] The specific number and layout parameters of the grouting sleeves should be proportioned according to the specifications of the anchor steel bars.
[0046] 3) Installation of prefabricated special-shaped beam formwork
[0047] The mold is arranged according to the cross-sectional design dimensions of the prefabricated special-shaped beam component 1, and holes are drilled and reinforced on the template for the extended beam reinforcement, grouting holes, grouting holes and other components extending out of the end section of the prefabricated special-shaped beam component 1 to avoid blockage of the grouting holes, grouting holes and other parts caused by mold expansion, so as to ensure the construction quality of the grouting anchor connection.
[0048] 4) Pouring concrete for special-shaped beams
[0049] After the formwork is complete, concrete pouring begins. The timing of concrete pouring should be based on the needs of the assembly project, and the pouring of concrete for special-shaped beams must strictly adhere to concrete construction specifications. Simultaneously, the reinforcement of the beam end section formwork at the grouting and drainage holes should be inspected. After the concrete pouring is complete, it is cured and solidified to form the prefabricated special-shaped beam component 1 and the haunch beam 5.
[0050] 5) Assembly and hoisting of prefabricated special-shaped beams
[0051] According to the assembly operation process, the prefabricated special-shaped beam component 1 is hoisted as a whole onto the cast-in-place column 2. It is then assembled on the top surface of the cast-in-place column 2 by adding the haunch beam 5. After the hoisting is completed, the protruding end of the prefabricated special-shaped beam reinforcement 3 is connected to the column retention reinforcement 4 of the cast-in-place column 2 with wire binding. During the assembly and hoisting process, care should be taken to protect the retained areas such as the grouting holes and the exhaust pipe to avoid deformation that may affect the construction quality of the reinforcement anchor connection.
[0052] 6) Anchor reinforcement placement
[0053] According to the anchorage length designed in the drawings, refer to the relevant requirements such as "Residual Heat Treated Steel Bars for Reinforced Concrete" GB 13014, "Grouting Sleeves for Reinforcement Connection" (JG / T 398), and "Sleeve Grouting Materials for Reinforcement Connection" (JG / T 408) to select the beam, anchor the anchor steel bar 8 into the grouting sleeve 6, and place and fix it in accordance with the requirements of the steel bar acceptance specifications. The end of the anchor steel bar 8 extends out of the sleeve body 601 and is connected to the column retained steel bar 4 with wire binding.
[0054] 7) Grouting connection
[0055] Then, concrete grouting 10 is injected through the grouting hole 602 , and the air in the grouting sleeve 6 is discharged through the exhaust pipe 9 connected to the grouting hole 603 .
[0056] Sleeve grouting connections should utilize matching grouting sleeves and grouting materials, as determined by joint type inspection. For initial construction, representative units or locations should be selected for trial fabrication, installation, and grouting. Grouting materials should be stored indoors at the construction site and protected from rain, moisture, and sunlight. Pre-reserved grouting holes, grouting outlets, and vents should form a sealed cavity to prevent grout leakage. The distance between any two grouting sleeves within the connected grouting area should not exceed 1.5m.
[0057] After the grouting is completed in the grouting sleeve 6, the grouting is cured and solidified, and the hoisting construction is completed.
[0058] On the above-mentioned cast-in-place column 2, multiple prefabricated special-shaped beam components 1 can be simultaneously erected as needed. Subsequently, according to the overall construction progress, the anchor steel bars 8, column retained steel bars 4, prefabricated special-shaped beam steel bars 3 and other reinforcements on the cast-in-place column 2 are arranged, and concrete pouring is continued to complete the overall connection and fixation of the prefabricated special-shaped beam components 1 and the prefabricated special-shaped beam components 1.
[0059] As can be seen, the present invention utilizes a novel rigid connection method for grouting and anchoring prefabricated special-shaped beams in the axil area. This method involves installing grouting sleeves in the axil area of the prefabricated special-shaped beam, combining them with anchoring steel bars and using grouting material for connection, replacing the traditional steel bar anchoring retention method. Grouting holes are retained at each grouting sleeve connection to facilitate grouting after installation. The grouting vent holes in the axil area are extended to the beam cross section using a hose to ensure grouting density. The device and construction method of the present invention ensure that the anchoring quality of the steel bars in the axil area of the special-shaped beam meets the requirements, while also ensuring that the overlapping and intersecting steel bars meet the safety requirements of assembly construction.
[0060] The embodiment described above is merely a preferred embodiment of the present invention and is not intended to limit the present invention. Persons skilled in the art may make various changes and modifications without departing from the spirit and scope of the present invention. Therefore, any technical solution obtained by equivalent substitution or equivalent transformation falls within the scope of protection of the present invention.
Claims
1. A rigid connection prefabricated special-shaped beam with axillary grouting anchoring structure, characterized in that: Used for anchoring and connecting a prefabricated special-shaped beam component (1) to a cast-in-place column (2); The grouting anchoring structure comprises an axillary beam (5), a grouting sleeve (6), an anchoring steel bar (8) and an exhaust pipe (9); The end of the prefabricated special-shaped beam component (1) is mounted on the cast-in-place column (2) by adding a side beam (5); one end of the prefabricated special-shaped beam reinforcement (3) arranged in the prefabricated special-shaped beam component (1) extends out of the end section of the prefabricated special-shaped beam component (1) and is tied and connected to the column retained reinforcement (4) of the cast-in-place column (2); The grouting sleeve (6) is arranged in the axillar beam (5), and its sleeve body (601) is welded and fixed to the stirrups (7) of the prefabricated special-shaped beam component (1), and is wrapped and fixed by the concrete in the axillar beam (5); the sleeve body (601) is provided with a grouting hole (602) and a grouting hole (603), the grouting hole (602) is located outside the end section of the prefabricated special-shaped beam component (1), and the grouting hole (603) is connected to an exhaust pipe (9), and the outlet of the exhaust pipe (9) extends out of the end section of the prefabricated special-shaped beam component (1); one end of the anchoring steel bar (8) extends into the sleeve body (601) and is solidified by the concrete grouting (10) in the sleeve body (601), and the other end extends out of the sleeve body (601) for connection with the column retained steel bar (4); A plurality of grouting sleeves (6) are arranged at intervals in the horizontal direction in the axil beam (5), and each grouting sleeve (6) is provided with the anchoring steel bar (8) and the exhaust pipe (9); the anchoring steel bar (8) passes through the entire sleeve body (601) in the axial direction; The outlet end of the exhaust pipe (9) is tied and fixed to the column retained steel bars (4).
2. The rigid connection prefabricated special-shaped beam plus axil area grouting anchoring structure according to claim 1, characterized in that: The grouting sleeves (6) are arranged in parallel.
3. The rigid connection prefabricated special-shaped beam plus axil area grouting anchoring structure according to claim 1, characterized in that: Among the plurality of grouting sleeves (6), the distance between any two grouting sleeves (6) does not exceed 1.5 m.
4. The rigid connection prefabricated special-shaped beam plus axil area grouting anchoring structure according to claim 1, characterized in that: The exhaust pipe (9) is a hose.
5. The rigid connection prefabricated special-shaped beam plus axil area grouting anchoring structure according to claim 1, characterized in that: A plurality of prefabricated special-shaped beam components (1) are simultaneously mounted on the cast-in-situ column (2).
6. A method for grouting and anchoring axil areas of rigidly connected prefabricated special-shaped beams, characterized in that: Here are the steps: S1: According to the design parameters of the prefabricated special-shaped beam component (1) and the axillar beam (5), the prefabricated special-shaped beam steel bars (3) and stirrups (7) are tied in the area where the prefabricated special-shaped beam component (1) is located, and then a plurality of grouting sleeves (6) are laid in parallel in the area where the axillar beam (5) is located, and the sleeve body (601) of the grouting sleeve (6) is welded and fixed to the stirrups (7); after the fixing is completed, the grouting hole (602) on the sleeve body (601) is located outside the end section of the prefabricated special-shaped beam component (1), and the grouting hole (603) is connected to an exhaust pipe (9), and the outlet of the exhaust pipe (9) extends out of the end section of the prefabricated special-shaped beam component (1); S2: The mold is arranged according to the cross-sectional design dimensions of the prefabricated special-shaped beam component (1), and holes are drilled and reinforced on the template for each component extending out of the end cross-sectional area of the prefabricated special-shaped beam component (1) to avoid deformation and blockage caused by mold expansion; S3: After the formwork is completed, concrete is poured and cured to form a prefabricated special-shaped beam component (1) and axillary beam (5); S4: According to the construction process, the prefabricated special-shaped beam component (1) is hoisted as a whole onto the cast-in-place column (2), and is assembled on the top surface of the cast-in-place column (2) by adding the axilary beam (5). After the hoisting is completed, the protruding end of the prefabricated special-shaped beam steel bar (3) is tied and connected with the column retained steel bar (4) of the cast-in-place column (2); S5: Anchor the anchoring steel bar (8) into the grouting sleeve (6) according to the designed anchoring length, and tie the end of the anchoring steel bar (8) out of the sleeve body (601) and connect it to the column retained steel bar (4); S6: Then, concrete grouting (10) is injected through the grouting hole (602), and the air in the grouting sleeve (6) is discharged through the exhaust pipe (9) connected to the grouting hole (603); after the grouting in the grouting sleeve (6) is completed, it is cured and solidified.
7. The method for grouting and anchoring axil areas of rigidly connected prefabricated special-shaped beams according to claim 6, characterized in that: During the assembly and hoisting process of the prefabricated special-shaped beam component (1), it is necessary to protect the retained parts of the components extending out of the end section of the prefabricated special-shaped beam component (1) to avoid deformation.
Citation Information
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