Climbing attachment device of attached type lifting scaffold

By designing an attachment device including bottom horizontal channel steel, steel truss columns, first attachment support, second attachment support and main oblique support channel steel, the triangular structure of suspension climbing track is used to solve the problem of inapplicable attachment method of the attachment device on the irregular structural layer, and stable suspension support on the irregular structural layer is realized.

CN222558089UActive Publication Date: 2025-03-04NO 1 CONSTR ENG CO LTD OF CHINA CONSTR THIRD ENG BUREAU CO LTD
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Patent Information

Application Number
CN202420812499.5
Authority / Receiving Office
CN · China
Patent Type
Utility models(China)
Current Assignee / Owner
Filing Date
2024-04-18
Publication Date
2025-03-04
Estimated Expiration
2034-04-18

AI Technical Summary

Technical Problem

The existing attachment type lifting scaffolding climbing attachment device is difficult to adhere to irregular structural layers, resulting in inapplicable attachment methods.

Method used

By designing an attachment device including bottom horizontal channel steel, steel truss columns, first attachment support, second attachment support and main oblique support channel steel, a triangular structure suspends the climbing track, transmits gravity to the floor slab, and strengthens the connection stability through pulling bolts and channel steel pads.

Benefits of technology

It realizes that the support climbing track and attached scaffolding can be suspended without adhering to multiple floors at the same time on irregular structural layers, which enhances the connection strength and is suitable for irregular structural layers.

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Abstract

The utility model provides a climbing attachment device of an attached lifting scaffold, which comprises a bottom horizontal channel steel fixed on a floor; the steel truss stand column is fixed on the bottom horizontal channel steel; one end of the first attachment device is fixedly connected with the steel truss stand column, and the other end of the first attachment device is fixedly connected with the climbing track; one end of the second attachment device is fixedly connected with the floor slab, the other end of the second attachment device is fixedly connected with the climbing track, and the second attachment device is located below the first attachment device; one end of the main diagonal bracing channel steel is fixedly connected with the steel truss stand column, and the other end of the main diagonal bracing channel steel is fixedly connected with the bottom horizontal channel steel; the bottom horizontal channel steel, the steel truss stand column and the main diagonal bracing channel steel form a triangle, and the climbing track is hung on the side, away from the main diagonal bracing channel steel, of the steel truss stand column. According to the method, the climbing track and the attached scaffold can be suspended and supported only by taking a single floor as a supporting foundation. Therefore, the method can be applied to irregular structural layers.
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Description

Technical Field

[0001] The utility model relates to the technical field of climbing of attached scaffolds, in particular to a climbing attachment device of an attached lifting scaffold. Background Art

[0002] With the rapid development of the construction industry in recent years, the urban economy has become extremely active. Countless high-rise buildings have sprung up like mushrooms after rain and have appeared widely in people's vision. In the construction process of high-rise and super-high-rise buildings, the relevant devices and practical technologies of attached lifting scaffolding (also known as "climbing frame") have been introduced and widely used in this field. The attached lifting scaffolding equipment and its climbing technology have become an indispensable and important part in the construction of high-rise and super-high-rise buildings.

[0003] However, with the increasing diversity of investors' requirements for building functions and designers' increasing innovation in building design styles, the traditional "standard floor" building structure design has gradually failed to meet people's diverse requirements for living space. In this context, irregular structural layers have emerged to meet the needs of owners. The irregularity mainly includes the irregularity of the building plane and the irregularity of the floor height.

[0004] The prior art climbing attachment device of the attached lifting scaffold is usually attached to multiple structural layers at the same time to enhance its stability. However, the above-mentioned irregular structural layers are affected by their own structures and are not convenient to be attached as the attachment points of the attached lifting scaffold climbing attachment device, so that the attachment method of the prior art attachment device is not suitable for irregular structural layers.

[0005] That is to say, the attachment method of the attachment device in the prior art is not suitable for irregular structure layers. Utility Model Content

[0006] The utility model provides a climbing attachment device for an attachment type lifting scaffold to solve the above technical problems, and solves the problem that the attachment method of the attachment device is not suitable for irregular structural layers.

[0007] The utility model provides a climbing attachment device for an attached lifting scaffold, comprising: a bottom horizontal channel steel, which is fixed on a floor slab;

[0008] Steel truss columns, which are fixed to the bottom horizontal channel steel;

[0009] A first attachment support, one end of which is fixedly connected to the steel truss column, and the other end of the first attachment support is fixedly connected to the climbing track;

[0010] A second attachment support, one end of which is fixedly connected to the floor slab, and the other end of the second attachment support is fixedly connected to the climbing track, and the second attachment support is located below the first attachment support;

[0011] One end of the main diagonal bracing channel steel is fixedly connected to the steel truss column, and the other end of the main diagonal bracing channel steel is fixedly connected to the bottom horizontal channel steel;

[0012] Among them, the main diagonal bracing channel steel is set at a certain angle to the steel truss column, the bottom horizontal channel steel, the steel truss column and the main diagonal bracing channel steel are constructed into a triangle, and the climbing track is suspended on the side of the steel truss column away from the main diagonal bracing channel steel.

[0013] In one embodiment, it also includes at least one horizontal supporting channel steel, one end of which is fixedly connected to the main diagonal bracing channel steel, and the other end of the at least one horizontal supporting channel steel is fixedly connected to the steel truss column.

[0014] In one embodiment, when the climbing attachment device of the attached lifting scaffold includes a plurality of horizontal supporting channel steels, the plurality of horizontal supporting channel steels are arranged at intervals along the first direction.

[0015] In one embodiment, it also includes a plurality of tension bolts arranged at intervals, which are passed through the bottom horizontal channel steel and the floor slab to fix the bottom horizontal channel steel on the floor slab.

[0016] In one embodiment, at least one channel steel pad is further included, and the at least one channel steel pad is arranged between the horizontal channel steel and the floor slab.

[0017] In one embodiment, it further comprises a plurality of channel steel pads, wherein a plurality of tension bolts are passed through the plurality of channel steel pads in a one-to-one correspondence.

[0018] In one embodiment, it further comprises:

[0019] The left diagonal bracing channel steel has one end connected to the steel truss column and the other end fixed to the floor slab;

[0020] One end of the right diagonal bracing channel steel is connected to the steel truss column, and the other end of the right diagonal bracing channel steel is fixed to the floor slab;

[0021] Among them, the left diagonal bracing channel steel and the right diagonal bracing channel steel are symmetrically arranged relative to the steel truss column, and the left diagonal bracing channel steel and the steel truss column are arranged at a certain angle.

[0022] In one embodiment, an angle β is formed between the left diagonal bracing channel steel and the steel truss column, and the value range of the angle β is: 45°≤angle β≤60°.

[0023] In one embodiment, the first plane where the left diagonal bracing channel steel and the right diagonal bracing channel steel are located is perpendicular to the second plane where the triangle is located.

[0024] In one embodiment, an angle γ is formed between the main diagonal bracing channel steel and the steel truss column, and the value range of the angle γ is: 45°≤angle γ≤60°.

[0025] Compared with the prior art, the utility model has the following beneficial effects: the bottom horizontal channel steel, steel truss columns and main diagonal bracing channel steel are constructed into a triangle. The steel truss columns serve as one side of the triangle to suspend and fix the climbing track. In this way, the gravity of the climbing track and the attached scaffolding thereon can be transmitted to the floor through the triangular structure. Moreover, the triangular structure can strengthen the connection strength between the climbing track and the floor. In this way, the climbing attachment device of the attached lifting scaffolding does not need to be attached to multiple floor layers at the same time. That is, only a single floor is used as a supporting base to achieve the suspension support of the climbing track and the attached scaffolding. Thus, it can be applied to irregular structural layers. BRIEF DESCRIPTION OF THE DRAWINGS

[0026] Figure 1 It is a schematic diagram of the structural composition of the climbing and attaching device of the attached lifting scaffold in the embodiment of the utility model (showing the climbing track and the attached scaffold);

[0027] Figure 2 for Figure 1 Side view of the climbing attachment device of the mid-attachment lifting scaffold;

[0028] Figure 3 yes Figure 1 A top view of the climbing attachment device of the medium-attached lifting scaffold.

[0029] In the figure: 1. Steel truss column; 2. Bottom horizontal channel steel; 3. Diagonal brace channel steel; 31. Main diagonal brace channel steel; 32. Left diagonal brace channel steel; 33. Right diagonal brace channel steel; 4. Horizontal support channel steel; 5. Channel steel pad; 6. Tension bolts; 7. Floor slab; 8. First attachment support; 9. Attached scaffolding; 10. Climbing track; 11. Second attachment support. DETAILED DESCRIPTION

[0030] The present invention is further described in detail below in conjunction with the accompanying drawings and specific embodiments.

[0031] like Figures 1 to 3 As shown, the utility model provides a climbing attachment device for an attached lifting scaffold.

[0032] The climbing attachment device of the attached lifting scaffold comprises a bottom horizontal channel steel 2, a steel truss column 1, a first attachment support 8, a second attachment support 11 and a main diagonal bracing channel steel 31. Among them, the bottom horizontal channel steel 2 is fixed on the floor slab 7; the steel truss column 1 is fixed on the bottom horizontal channel steel 2; the first attachment support 8, one end of which is fixedly connected to the steel truss column 1, and the other end of the first attachment support 8 is fixedly connected to the climbing track 10; the second attachment support 11, one end of which is fixedly connected to the floor slab 7, and the other end of the second attachment support 11 is fixedly connected to the climbing track 10, and the second attachment support 11 is located below the first attachment support 8; the main diagonal brace channel steel 31, one end of which is fixedly connected to the steel truss column 1, and the other end of the main diagonal brace channel steel 31 is fixedly connected to the bottom horizontal channel steel 2; the main diagonal brace channel steel 31 is set at a certain angle to the steel truss column 1, the bottom horizontal channel steel 2, the steel truss column 1 and the main diagonal brace channel steel 31 are constructed into a triangle, and the climbing track 10 is suspended on the side of the steel truss column 1 away from the main diagonal brace channel steel 31.

[0033] In the above arrangement, the bottom horizontal channel steel 2, the steel truss column 1 and the main diagonal bracing channel steel 31 are constructed into a triangle. The steel truss column 1 serves as one side of the triangle to suspend and fix the climbing track 10. In this way, the gravity of the climbing track 10 and the attached scaffolding 9 thereon can be transmitted to the floor 7 through the triangular structure. Moreover, the triangular structure can strengthen the connection strength between the climbing track 10 and the floor 7. In this way, the climbing attachment device of the attached lifting scaffolding does not need to be attached to multiple floor layers at the same time. That is, only a single floor 7 is used as a supporting base to achieve the suspension support of the climbing track 10 and the attached scaffolding 9. This makes it suitable for irregular structural layers.

[0034] Specifically, in one embodiment, the climbing attachment device of the attached lifting scaffolding also includes at least one horizontal supporting channel steel 4, one end of which is fixedly connected to the main diagonal supporting channel steel 31, and the other end of the at least one horizontal supporting channel steel 4 is fixedly connected to the steel truss column 1.

[0035] Specifically, in one embodiment, the climbing attachment device of the attached lifting scaffold also includes a single horizontal supporting channel steel 4, one end of which is fixedly connected to the main diagonal supporting channel steel 31, and the other end of the single horizontal supporting channel steel 4 is fixedly connected to the steel truss column 1.

[0036] Specifically, in an alternative embodiment not shown in the present application, a plurality of horizontal supporting channel steels 4 may be used, and are not limited to the single horizontal supporting channel steel 4 in the present embodiment.

[0037] Specifically, in one embodiment, when the climbing attachment device of the attached lifting scaffold includes a plurality of horizontal supporting channel steels 4, the plurality of horizontal supporting channel steels 4 are arranged at intervals along the first direction.

[0038] Specifically, in one embodiment, the climbing attachment device of the attached lifting scaffold further includes a plurality of tension bolts 6 arranged at intervals, and the tension bolts 6 are passed through the bottom horizontal channel steel 2 and the floor slab 7 to fix the bottom horizontal channel steel 2 on the floor slab 7.

[0039] It should be noted that the tension bolts 6 are conventional technical means in this field, and the specific structure of the tension bolts 6 will not be described in detail here.

[0040] It should be noted that the first attachment support 8 and the second attachment support 11 are fixedly connected to the steel truss column 1 through tension bolts.

[0041] Specifically, in one embodiment, the climbing attachment support of the attached lifting scaffold further includes at least one channel steel pad 5 , and the at least one channel steel pad 5 is arranged between the bottom horizontal channel steel 2 and the floor slab 7 .

[0042] Specifically, in one embodiment, the climbing attachment device of the attached lifting scaffold further includes a plurality of channel steel pads 5 , wherein a plurality of tension bolts 6 are passed through the plurality of channel steel pads 5 in a one-to-one correspondence.

[0043] Specifically, in one embodiment, the climbing attachment device of the attached lifting scaffold further includes a left diagonal brace channel steel 32 and a right diagonal brace channel steel 33. Among them, the left diagonal brace channel steel 32 has one end connected to the steel truss column 1, and the other end of the left diagonal brace channel steel 32 is fixed on the floor slab 7; the right diagonal brace channel steel 33 has one end connected to the steel truss column 1, and the other end of the right diagonal brace channel steel 33 is fixed on the floor slab 7; the left diagonal brace channel steel 32 and the right diagonal brace channel steel 33 are symmetrically arranged relative to the steel truss column 1, and the left diagonal brace channel steel 32 is arranged at a certain angle to the steel truss column 1.

[0044] Specifically, in one embodiment, an angle β is formed between the left diagonal bracing channel steel 32 and the steel truss column 1 , and the value range of the angle β is: 45°≤angle β≤60°.

[0045] Specifically, in one embodiment, the first plane where the left diagonal bracing channel steel 32 and the right diagonal bracing channel steel 33 are located is perpendicular to the second plane where the triangle is located.

[0046] Specifically, in one embodiment, an angle γ is formed between the main diagonal bracing channel steel 31 and the steel truss column 1 , and the value range of the angle γ is: 45°≤angle γ≤60°.

[0047] Combine the following Figures 1 to 3 , a more specific embodiment of the present application is described below:

[0048] This embodiment provides an attached scaffold climbing and attachment device based on irregular structural layer construction. It includes:

[0049] 1. The steel truss column 1, as the main supporting member of the climbing attachment device of the attached scaffolding 9, is mainly used to install the first attachment support 8 and the hanging parts. It is tightly connected with the climbing track 10 of the attached scaffolding 9 by using tension bolts 6, so as to bear the vertical and horizontal loads that need to be transmitted from the attached scaffolding 9 during the climbing process.

[0050] Preferably, the steel truss column 1 adopts a rectangular channel steel with a length of 4m, and a connecting steel plate is used on the back of the channel steel for welding connection to form a stable spatial lattice system to resist stress deformation or distortion during the load-bearing process.

[0051] 2. The bottom horizontal channel steel 2 is placed above the floor slab 7 of this layer. One end is fixedly connected to the steel truss column 1 at a 90° right angle to the auxiliary stiffener, and the other end is rigidly connected to the main diagonal brace channel steel 31 by welding, so that the deadweight load and dynamic load of the attached scaffolding 9 are transferred to the floor slab 7 through the steel truss column 1 and the main diagonal brace channel steel 31 to achieve the purpose of dispersing the concentrated load.

[0052] Preferably, the bottom horizontal channel steel 2 is formed of a lattice steel structure by combining 16# channel steels, and is fixedly connected to the floor slab 7 via tension bolts 6 over the entire length.

[0053] 3. The diagonal bracing channel steel 3 includes a main diagonal bracing channel steel 31, a left diagonal bracing channel steel 32 and a right diagonal bracing channel steel 33. The main diagonal bracing channel steel 31 is used to connect the steel truss columns 1, the bottom horizontal channel steel 2 and the horizontal supporting channel steel 4 to form a vertical main frame structure. Its two ends are rigidly connected to the steel truss columns 1 and the bottom horizontal channel steel 2 by welding, respectively, to bear the vertical and horizontal loads from the steel truss columns 1 and the attached scaffolding 9 during the climbing process, and firmly constrain them to the fixed working surface to prevent overturning.

[0054] Preferably, the main diagonal bracing channel steel 31 uses 10# channel steel with a length of about 4m as a diagonal bracing member, one end of which is rigidly connected to the steel truss column 1 by welding, and the angle between the two is preferably about 30°, and the other end is welded to the bottom horizontal channel steel 2 on the ground by welding with the help of a connecting steel plate, and the angle between the two is preferably about 60°. The middle part is rigidly connected with a certain number of horizontal channel steels 4 according to the load-bearing requirements to enhance its overall stability;

[0055] Preferably, the layout plane of the left diagonal brace channel steel 32 and the right diagonal brace channel steel 33 is at right angles to the layout plane of the main diagonal brace channel steel 31 in space, and both ends thereof are rigidly connected to the steel truss column 1 and the floor slab 7 by welding, respectively;

[0056] 4. The two ends of the horizontal support channel steel 4 are rigidly connected to the steel truss column 1 and the main diagonal bracing channel steel 31 by welding, so as to effectively reduce the actual working span of the steel truss column 1 and the main diagonal bracing channel steel 31, and at the same time bear part of the horizontal load to increase the overall stability of the device.

[0057] Preferably, the horizontal supporting channel steel 4 is made of 10# channel steel, and according to actual conditions, two channels are preferably provided, located at 1 / 3 and 2 / 3 of the length of the middle of the main diagonal bracing channel steel respectively.

[0058] 5. The channel steel pad 5 is a rectangular cross-section channel steel with a certain number of stiffeners arranged inside. It is placed below the bottom horizontal channel steel 2 and above the floor slab 7 of the layer, and plays a role in receiving the force transmission and transition between the bottom horizontal channel steel 2 and the floor slab 7.

[0059] Preferably, 1 to 3 stiffening plates are arranged in the transverse and longitudinal directions inside the channel steel pad 5 to improve the compressive strength of the channel steel pad 5 and play a role in transferring the upper load to the floor slab 7.

[0060] 6. The tension bolts 6 are composed of three parts, namely bolts, nuts and washers, and are used to reinforce the connecting components, so that the bolt connection between the bottom horizontal channel steel 2, the channel steel pad 5 and the floor slab 7 is tighter, and the overall stability of the climbing attachment device of the attached scaffolding 9 is better.

[0061] Preferably, the tension bolts 6 are high-strength bolts, and their screw rods, nuts and washers are all made of high-strength steel represented by No. 45 steel.

[0062] It should be noted that in the present application, when the attached scaffolding is difficult to find an effective attachment point for climbing due to the inward-retracted structure of the upper floor or the excessive clear height, by installing the attached scaffolding climbing attachment device based on the irregular structural layer construction on the current floor, a strong attachment point can be provided for the attached scaffolding during climbing, so that the attached scaffolding can be effectively climbed when facing the inward-retracted structure of the upper floor or the excessive clear height;

[0063] In addition, further functional extensions can be made based on the research of this utility model. When faced with an overhanging superstructure or an extremely large net height of a floor, consideration can be given to adjusting the inclination angle of the steel truss columns or increasing the working length of the steel truss columns, while using other connecting components to ensure its overall stability, thereby providing a safe and effective way for the attached scaffold to climb, thereby achieving a breakthrough in the climbing technology of the attached scaffold during the construction of high-rise and super-high-rise buildings.

[0064] The above are only preferred specific implementation methods of the present invention, but the scope of protection of the present invention is not limited to this. Any modifications, equivalent substitutions and improvements made by any technician familiar with the technical field within the technical scope disclosed by the present invention should be included in the scope of protection of the present invention.

[0065] In the present invention, the terms "first", "second", and "third" are used for descriptive purposes only and should not be understood as indicating or implying relative importance; the term "plurality" refers to two or more, unless otherwise clearly defined. The terms "installed", "connected", "connected", "fixed" and the like should be understood in a broad sense. For example, "connected" can be a fixed connection, a detachable connection, or an integral connection; "connected" can be a direct connection or an indirect connection through an intermediate medium. For those of ordinary skill in the art, the specific meanings of the above terms in the present invention can be understood according to the specific circumstances.

[0066] In the description of the present invention, it is necessary to understand that the directions or positional relationships indicated by terms such as "up", "down", "left", "right", "front" and "back" are based on the directions or positional relationships shown in the accompanying drawings, and are only for the convenience of describing the present invention and simplifying the description, rather than indicating or implying that the device or unit referred to must have a specific direction, be constructed and operated in a specific orientation, and therefore, cannot be understood as a limitation on the present invention.

[0067] In the description of this specification, the description of the terms "one embodiment", "some embodiments", "specific embodiments", etc. means that the specific features, structures, materials or characteristics described in conjunction with the embodiment or example are included in at least one embodiment or example of the utility model. In this specification, the schematic representation of the above terms does not necessarily refer to the same embodiment or example. Moreover, the specific features, structures, materials or characteristics described can be combined in any one or more embodiments or examples in a suitable manner.

[0068] The above are only preferred implementations of the utility model. The protection scope of the utility model is not limited to the above embodiments. All technical solutions under the idea of ​​the utility model belong to the protection scope of the utility model. It should be pointed out that for ordinary technicians in this technical field, some improvements and modifications without departing from the principle of the utility model should also be regarded as the protection scope of the utility model.

Claims

1. A climbing and attaching device for an attached lifting scaffold, characterized in that: include: A bottom horizontal channel steel (2) fixed to the floor slab (7); Steel truss columns (1) fixed to the bottom horizontal channel steel (2); A first attachment support (8), one end of which is fixedly connected to the steel truss column (1), and the other end of which is fixedly connected to the climbing track (10); a second attachment support (11), one end of which is fixedly connected to the floor slab (7), the other end of which is fixedly connected to the climbing track (10), and the second attachment support (11) is located below the first attachment support (8); A main diagonal bracing channel steel (31), one end of which is fixedly connected to the steel truss column (1), and the other end of the main diagonal bracing channel steel (31) is fixedly connected to the bottom horizontal channel steel (2); The main diagonal bracing channel steel (31) is arranged at a certain angle to the steel truss column (1), the bottom horizontal channel steel (2), the steel truss column (1) and the main diagonal bracing channel steel (31) are constructed into a triangle, and the climbing track (10) is suspended on a side of the steel truss column (1) away from the main diagonal bracing channel steel (31).

2. The climbing and attaching device of the attached lifting scaffold according to claim 1 is characterized in that: It also comprises at least one horizontal support channel steel (4), one end of which is fixedly connected to the main diagonal support channel steel (31), and the other end of the at least one horizontal support channel steel (4) is fixedly connected to the steel truss column (1).

3. The climbing and attaching device of the attached lifting scaffold according to claim 2 is characterized in that: When the climbing attachment device of the attached lifting scaffold comprises a plurality of the horizontal supporting channel steels (4), the plurality of the horizontal supporting channel steels (4) are arranged at intervals along the first direction.

4. The climbing and attaching device of the attached lifting scaffold according to claim 1 is characterized in that: It also includes a plurality of tension bolts (6) arranged at intervals, wherein the tension bolts (6) are passed through the bottom horizontal channel steel (2) and the floor slab (7) and are used to fix the bottom horizontal channel steel (2) to the floor slab (7).

5. The climbing and attaching device of the attached lifting scaffold according to claim 4 is characterized in that: It also comprises at least one channel steel pad (5), wherein the at least one channel steel pad (5) is arranged between the bottom horizontal channel steel (2) and the floor slab (7).

6. The climbing and attaching device of the attached lifting scaffold according to claim 5 is characterized in that: It also comprises a plurality of channel steel pads (5), wherein the plurality of tension bolts (6) are passed through the plurality of channel steel pads (5) in a one-to-one correspondence.

7. The climbing and attaching device of the attached lifting scaffold according to claim 1 is characterized in that: Also includes: A left diagonal bracing channel steel (32), one end of which is connected to the steel truss column (1), and the other end of the left diagonal bracing channel steel (32) is fixed to the floor slab (7); A right diagonal bracing channel steel (33), one end of which is connected to the steel truss column (1), and the other end of the right diagonal bracing channel steel (33) is fixed to the floor slab (7); The left diagonal bracing channel steel (32) and the right diagonal bracing channel steel (33) are symmetrically arranged relative to the steel truss column (1), and the left diagonal bracing channel steel (32) and the steel truss column (1) are arranged at a certain angle.

8. The climbing and attaching device of the attached lifting scaffold according to claim 7 is characterized in that: An angle β is formed between the left diagonal bracing channel steel (32) and the steel truss column (1), and the value range of the angle β is: 45°≤angle β≤60°.

9. The climbing and attaching device of the attached lifting scaffold according to claim 7, characterized in that: The first plane where the left diagonal bracing channel steel (32) and the right diagonal bracing channel steel (33) are located is perpendicular to the second plane where the triangle is located.

10. The climbing and attaching device of the attached lifting scaffold according to claim 1, characterized in that: An angle γ is formed between the main diagonal bracing channel steel (31) and the steel truss column (1), and the value range of the angle γ is: 45°≤angle γ≤60°.