CN113718639A - Double-column type prefabricated swing pier multiple damping structure system with replaceable prestressed tendons - Google Patents

Double-column type prefabricated swing pier multiple damping structure system with replaceable prestressed tendons Download PDF

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Publication number
CN113718639A
CN113718639A CN202110988595.6A CN202110988595A CN113718639A CN 113718639 A CN113718639 A CN 113718639A CN 202110988595 A CN202110988595 A CN 202110988595A CN 113718639 A CN113718639 A CN 113718639A
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CN
China
Prior art keywords
prestressed
pier
prefabricated
structure system
support
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Pending
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CN202110988595.6A
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Chinese (zh)
Inventor
邓小伟
曾明根
袁万城
张哲元
罗喜恒
董冰
方健
党新志
钟海强
郭笑
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Architecture Design and Research Institute of Tongji University Group Co Ltd
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Architecture Design and Research Institute of Tongji University Group Co Ltd
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Application filed by Architecture Design and Research Institute of Tongji University Group Co Ltd filed Critical Architecture Design and Research Institute of Tongji University Group Co Ltd
Priority to CN202110988595.6A priority Critical patent/CN113718639A/en
Publication of CN113718639A publication Critical patent/CN113718639A/en
Pending legal-status Critical Current

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    • EFIXED CONSTRUCTIONS
    • E01CONSTRUCTION OF ROADS, RAILWAYS, OR BRIDGES
    • E01DCONSTRUCTION OF BRIDGES, ELEVATED ROADWAYS OR VIADUCTS; ASSEMBLY OF BRIDGES
    • E01D19/00Structural or constructional details of bridges
    • E01D19/04Bearings; Hinges
    • EFIXED CONSTRUCTIONS
    • E01CONSTRUCTION OF ROADS, RAILWAYS, OR BRIDGES
    • E01DCONSTRUCTION OF BRIDGES, ELEVATED ROADWAYS OR VIADUCTS; ASSEMBLY OF BRIDGES
    • E01D1/00Bridges in general
    • EFIXED CONSTRUCTIONS
    • E01CONSTRUCTION OF ROADS, RAILWAYS, OR BRIDGES
    • E01DCONSTRUCTION OF BRIDGES, ELEVATED ROADWAYS OR VIADUCTS; ASSEMBLY OF BRIDGES
    • E01D19/00Structural or constructional details of bridges
    • E01D19/02Piers; Abutments ; Protecting same against drifting ice
    • EFIXED CONSTRUCTIONS
    • E02HYDRAULIC ENGINEERING; FOUNDATIONS; SOIL SHIFTING
    • E02DFOUNDATIONS; EXCAVATIONS; EMBANKMENTS; UNDERGROUND OR UNDERWATER STRUCTURES
    • E02D27/00Foundations as substructures
    • E02D27/10Deep foundations
    • E02D27/12Pile foundations
    • EFIXED CONSTRUCTIONS
    • E01CONSTRUCTION OF ROADS, RAILWAYS, OR BRIDGES
    • E01DCONSTRUCTION OF BRIDGES, ELEVATED ROADWAYS OR VIADUCTS; ASSEMBLY OF BRIDGES
    • E01D2101/00Material constitution of bridges
    • E01D2101/20Concrete, stone or stone-like material
    • E01D2101/24Concrete
    • E01D2101/26Concrete reinforced

Abstract

The invention relates to a double-column type prefabricated swinging pier multiple damping structure system with replaceable prestressed ribs, which comprises an upper bridge body, a bearing platform, a plurality of anchor backing plates, two prefabricated piers, a plurality of prestressed steel bundles and a plurality of pile foundations, wherein the anchor backing plates are pre-buried in the middle of the prefabricated piers, the end parts of the anchor backing plates extend out of the prefabricated piers to form anchoring positions, a plurality of vertical prestressed pipelines are arranged below the anchoring positions, a plurality of steering prestressed pipelines are arranged in the bearing platform, the vertical prestressed pipelines are communicated with the steering prestressed pipelines end to form a U-shaped prestressed pipeline, one end of each prestressed steel bundle is fixedly connected with the anchoring position of one anchor backing plate, the other end of each prestressed steel bundle is fixedly connected with the anchoring position of the other anchor backing plate after sequentially penetrating through the vertical prestressed pipeline, the steering prestressed pipeline and the vertical prestressed pipeline, and the anchoring positions of the other anchor backing plate, and a swinging interface is formed between contact surfaces of the prefabricated piers and the bearing platform. Compared with the prior art, the invention has the advantages of strong shock absorption performance, convenient repair and maintenance and the like.

Description

Double-column type prefabricated swing pier multiple damping structure system with replaceable prestressed tendons
Technical Field
The invention relates to the field of bridges, in particular to a double-column type prefabricated swing pier multiple damping structure system with replaceable prestressed tendons.
Background
The prefabricated bridge pier is a new research hotspot in the rapid construction of bridges, but the integrity is poor, the seismic performance of the member is weaker, and the seismic damage is serious in the earth earthquake all the time. The dynamic response of the pier can be effectively reduced by adopting the seismic isolation support, but the problem of out-of-control pier beam displacement exists under the action of strong shock. The prior art adopts a novel swing-self-reset bridge pier column system through research, verifies that the pier can reduce earthquake response through swing under the action of prestress, and has a self-reset function after an earthquake, but most of the researches are based on a single-pier test, and the application of the swing pier to practical engineering needs to solve several problems. Firstly, the unbonded prestressed tendons as key components are very critical, the existing prestress is usually arranged in a pier by adopting a high-strength twisted steel straight bundle or a steel strand U-shaped bundle, the prestress tension has higher requirement on the construction space, and the bending radius of the prestressed bundles of the latter has very high limit on the size of the pier. Secondly, the prestressed tendons are loosened, so that the prestress loss is brought, and the performance of the swing-self-resetting pier is seriously influenced. In addition, most of researches on the swing-self-reset structure are carried out on a single pier or a pier beam node, and the research work on a double-column pier system is less. However, in order to solve the problem of urban traffic congestion, a viaduct with a double-column pier as a main bearing member occupies a large proportion in the construction of an urban bridge, and the problem of shock absorption of the double-column pier is also urgently considered. Finally, the existing swing system does not relate to a support, pier beams are often connected or fixedly connected through shear keys and are not suitable for the situation of small assembled box beams or T beams, and the potential danger of overlarge swing angle and insufficient stability of the pier bottom under the action of strong shock exists by only adopting the swing system. In summary, the existing seismic isolation bearing system and the existing prefabricated swinging pier system can not meet the seismic requirements of some practical projects.
Disclosure of Invention
The invention aims to overcome the defects in the prior art and provide a double-column type prefabricated swing pier multiple damping structure system with replaceable prestressed tendons.
The purpose of the invention can be realized by the following technical scheme:
a double-column type prefabricated swinging pier multiple damping structure system with replaceable prestressed tendons comprises an upper bridge body, a bearing platform, a plurality of anchor backing plates, two prefabricated piers, a plurality of prestressed steel beams and a plurality of pile foundations, wherein the top surfaces of the pile foundations are fixedly connected with the bottom surface of the bearing platform, the prefabricated piers are vertically arranged on the bearing platform, the top surfaces of the prefabricated piers are fixedly connected with the bottom surface of the upper bridge body,
the anchor backing plate bury in the middle part of prefabricated pier in advance, the tip of anchor backing plate stretch out prefabricated pier and form anchor maintenance, anchor position below be equipped with a plurality of vertical prestressing force pipelines, the cushion cap in be equipped with a plurality of prestressing force pipelines that turn to, vertical prestressing force pipeline with turn to prestressing force pipeline head and the tail intercommunication and form U type prestressing force pipeline, the one end of prestressing force pencil and the anchor position fixed connection of an anchor backing plate, the other end pass vertical prestressing force pipeline in proper order, turn to behind prestressing force pipeline, the vertical prestressing force pipeline anchor position fixed connection with another anchor backing plate, the contact surface of prefabricated pier and cushion cap between form and sway the interface.
Preferably, the structural system further comprises a shear pin, the shear pin is arranged between contact surfaces of the prefabricated bridge pier and the bearing platform, a shear pin hole is formed in the top surface of the bearing platform, the top of the shear pin is connected with the prefabricated bridge pier, and the bottom of the shear pin is arranged in the shear pin hole.
Preferably, the structural system comprises four prestressed steel bundles, and the ends of the four prestressed steel bundles are respectively connected with the anchoring positions of the anchor backing plate.
Preferably, the anchoring position is provided with a prestress perforation, and the end part of the prestress steel beam upwards penetrates through the prestress perforation and then is anchored and connected with the anchor backing plate.
Preferably, the prestressed steel bundles are unbonded prestressed steel bundles.
Preferably, the structural system further comprises a protective cover, wherein the protective cover is covered on the anchoring position.
Preferably, the upper bridge body comprises a main beam and a prefabricated capping beam, the bottom surface of the prefabricated capping beam is fixedly connected with the top surfaces of the two prefabricated piers respectively, and the main beam is arranged on the prefabricated capping beam.
Preferably, the upper bridge body further comprises a stay rope shock absorption support which is arranged between the main beam and the prefabricated capping beam.
Preferably, cable shock mount include support roof, support bottom plate, support core and a plurality of cable, the top surface and the support roof fixed connection of support core, the bottom surface and the support bottom plate fixed connection of support core, the one end of cable and the side fixed connection of support roof, the other end and the side fixed connection of support bottom plate.
Preferably, prefabricated pier be reinforced concrete structure, prefabricated pier including the reinforcing bar of vertical setting, hoop locate the stirrup of reinforcing bar week side and form the concrete main part after the watering.
Compared with the prior art, the invention has the following advantages:
1) the invention realizes multiple damping effects based on the inhaul cable damping support and the arrangement of the swing interface for matching, reduces the earthquake action borne by the structure on the premise of ensuring that the structural system has enough strength and rigidity, provides effective energy consumption capability and self-resetting capability, can solve the problems of serious damage and large residual deformation of the traditional double-column pier structural system after the earthquake action, is effectively applied to the bridge scene of the double-column pier, and can damp through the inhaul cable damping support and enable the pier to enter a swing state for multiple damping through the swing interface along with the increase of the earthquake strength, thereby effectively improving the damping effect, improving the earthquake resistance of the bridge and facilitating the repair after the earthquake, enlarging the application range of the inhaul cable damping support and the swing pier, having low construction difficulty and good economic benefit;
2) the U-shaped prestressed steel bundles outside the pier are arranged on the side surface of the prefabricated pier and in the bearing platform, so that the requirement on the size of the pier is reduced, the steel bundles are not required to be arranged in the prefabricated pier in a through-length mode, the using amount of the steel bundles is reduced, the occupied area width of the pier is not increased, the utilization of the passage space under the viaduct is not influenced, and the U-shaped prestressed steel bundles are arranged on the two sides of the pier, so that the construction, the maintenance, the tensioning and the replacement are convenient.
Drawings
FIG. 1 is a schematic side view of a transverse bridge of the present invention;
FIG. 2 is a schematic side view of a longitudinal bridge of the present invention;
FIG. 3 is a schematic cross-sectional structure view of a prefabricated swinging pier of the present invention;
fig. 4 is a schematic structural view of the stay cable shock mount of the present invention.
The steel structure comprises a main beam 1, a main beam 2, a stay rope shock absorption support 21, a support top plate 22, a support bottom plate 23, a support core body 24, a stay rope 3, a prefabricated capping beam 4, a prefabricated pier 5, a shear pin 6, a bearing platform 7, a prestressed steel beam 8, a swinging interface 9, a protective cover 10, an anchor backing plate 11, a pile foundation 12, a steel bar 13, concrete 14, a stirrup 15, a vertical prestressed pipeline 16 and a steering prestressed pipeline.
Detailed Description
The invention is described in detail below with reference to the figures and specific embodiments. Note that the following description of the embodiments is merely a substantial example, and the present invention is not intended to be limited to the application or the use thereof, and is not limited to the following embodiments.
Examples
In order to solve the problems that the anti-seismic capacity of a double-column type prefabricated pier 4 is insufficient, and a swing pier system and a seismic isolation support system cannot completely meet the anti-seismic requirement, the invention provides a double-column type prefabricated swing pier multiple damping structure system with replaceable prestressed ribs, which can reduce the seismic action borne by the structure on the premise of ensuring enough strength and rigidity of the structure system, provide effective energy consumption capacity and self-resetting capacity, and solve the problems that the traditional double-column type pier structure system is seriously damaged and has large residual deformation after the seismic action.
Specifically, as shown in fig. 1 to 3, the structural system of the present invention includes an upper bridge body, a bearing platform 6, a shear pin 5, a plurality of anchor pads 10, two prefabricated piers 4, a plurality of prestressed steel bundles 7, and a plurality of pile foundations 11. The major structure is last, the top surface of pile foundation 11 and the bottom surface fixed connection of cushion cap 6, prefabricated pier 4 is vertical to be located on cushion cap 6, the top surface of prefabricated pier 4 and the bottom surface fixed connection of upper portion pontic, prestressing tendons 7 adopts unbonded prestressing tendons in this embodiment, prefabricated pier 4 is reinforced concrete structure, prefabricated pier 4 includes the reinforcing bar 12 of vertical setting, the hoop is located the stirrup 14 of reinforcing bar 12 week side and is formed concrete 13 main part after the watering, in this embodiment, the cross-section of prefabricated pier 4 is the rectangle, also can select other shapes such as circular according to actual conditions.
Specifically, in order to realize replaceable installation of the prestressed steel bundles 7, the anchor backing plates 10 are pre-embedded in the middle of the prefabricated bridge piers 4, the end portions of the anchor backing plates 10 extend out of the prefabricated bridge piers 4 to form anchoring positions, a plurality of vertical prestressed pipelines 15 are arranged below the anchoring positions, a plurality of steering prestressed pipelines 16 are arranged in the bearing platform 6, two ends of each steering prestressed pipeline 16 are arranged on the upper surface of the bearing platform 6, the main bodies of the steering prestressed pipelines 16 are turned in the bearing platform 6 to form turning angles, the vertical prestressed pipelines 15 are communicated with the steering prestressed pipelines 16 end to form U-shaped prestressed pipelines, one end of each prestressed steel bundle 7 is fixedly connected with the anchoring position of one anchor backing plate 10, the other end of each prestressed steel bundle passes through the vertical prestressed pipeline 15, the steering prestressed pipeline 16 and the vertical prestressed pipeline 15 in sequence and then is fixedly connected with the anchoring positions of the other anchor backing plates 10, and a swinging interface 8 is formed between the contact surfaces of the prefabricated bridge piers 4 and the bearing platform 6, the shear pin 5 is arranged between contact surfaces of the prefabricated bridge pier 4 and the bearing platform 6, a shear pin hole is formed in the top surface of the bearing platform 6, the top of the shear pin 5 is connected with the prefabricated bridge pier 4, and the bottom of the shear pin 5 is arranged in the shear pin hole.
In addition, in this embodiment, four prestressed steel bundles 7 are provided, four sets of U-shaped prestressed pipes are correspondingly installed, eight anchor backing plates 10 are provided, prestressed through holes are formed in the anchoring positions, two ends of each of the four prestressed steel bundles 7 are respectively connected with the anchoring positions of the anchor backing plates 10 on the side surfaces of the pier bodies of the two prefabricated piers 4 in a corresponding manner, and the end portions of the prestressed steel bundles 7 upwardly penetrate through the prestressed through holes and then are connected with the anchor backing plates 10 in an anchoring manner.
In this embodiment, in order to protect the prestressed steel bundles 7 outside the prefabricated pier 4, the structural system further includes a protective cover 9, and the protective cover 9 is covered on the anchor.
Based on the installation mode and the structural form of the prestressed steel bundles 7, from the aspects of design and construction, the structural system provided by the invention can expand the application range of the post-tensioned prestressed connection pier without increasing additional design and construction difficulties, has engineering feasibility and is mainly embodied in the following points:
1. two ends of the U-shaped prestressed steel bundles 7 are respectively anchored in the two prefabricated piers 4, and the radius of curvature of the corner is large, so that the prestress loss can be reduced, and the requirement on the size of the prefabricated piers 4 is lowered;
2. the U-shaped prestressed steel bundles 7 are anchored at two sides of the bottom of the prefabricated pier body 4, long reinforcing bars do not need to be arranged in the prefabricated pier 4, and the using amount of steel bundles is reduced;
3. the U-shaped prestressed steel bundles 7 are anchored on two sides of the pier body, so that the occupied area width of the prefabricated pier 4 is not increased, and the utilization of the traffic space of the lower road of the viaduct is not influenced;
4. the shearing pins 5 and other aspects of the pier and the bearing platform 6 are mature, and the construction difficulty is not increased additionally.
In addition, as shown in fig. 1 and 4, in order to improve the seismic performance of the invention, the upper bridge body comprises a main beam 1, a prefabricated capping beam 3 and a guy cable shock-absorbing support 2, wherein the bottom surface of the prefabricated capping beam 3 is respectively and fixedly connected with the top surfaces of two prefabricated piers 4, the main beam 1 is arranged on the prefabricated capping beam 3, and the guy cable shock-absorbing support 2 is arranged between the main beam 1 and the prefabricated capping beam 3. Specifically, cable vibration damper 2 includes support roof 21, support bottom plate 22, support core 23 and a plurality of cable 24, the top surface and the support roof 21 fixed connection of support core 23, the bottom surface and the support bottom plate 22 fixed connection of support core 23, the one end of cable 24 and the side fixed connection of support roof 21, the other end and the side fixed connection of support bottom plate 22. The main beam 1 of the present embodiment is a small box beam structure, and in other embodiments of the present invention, may be in the form of a T beam, an integral box beam, or the like.
In order to improve the performance of the stay cable shock absorption support 2, the free stroke of the stay cable 24 can be obtained according to the allowable pier beam displacement, and the shock absorption support core body 23 can be determined according to actual engineering by adopting a lead core support, a friction pendulum support, a combined rubber support and the like.
The working principle of the invention is as follows:
in normal use state, adopt cable shock mount 2 can release temperature displacement, can satisfy the deformation demand that normal use state temperature variation arouses, reduce 4 internal forces of prefabricated pier.
Under the action of small and medium earthquakes, the stay cable shock absorption support 2 yields to reduce the earthquake response, the main beam 1 displacement is mainly provided by the stay cable shock absorption support 2, the horizontal inertia force transmitted to the lower structure is reduced, and the pier keeps elasticity.
Along with the increase of earthquake intensity, the displacement of the stay cable shock absorption support 2 is increased to the free stroke of the stay cable 24, the stay cable 24 is tensioned, the displacement of the stay cable shock absorption support 2 is not increased any more, the further development of the pier beam displacement is limited, and the problems of beam body collision, expansion joint damage and even beam falling damage and the like caused by overlarge pier beam displacement are avoided; the internal force of the substructure is increased due to the tensioning of the stay cable 24 until the bending moment at the bottom of the pier exceeds the critical bending moment, so that the pier enters a swinging state, the structural period of the bridge is further prolonged, the input of seismic energy is isolated, and the multiple damping function is realized.
After the earthquake action, the restoring capacity can be provided through the prestressed tendons and the self weight of the structure, and the residual displacement is reduced. The pier body of the pier basically keeps elasticity, the stay cable shock absorption support 2 is simple to reset, and the U-shaped unbonded prestressed steel bundles anchored on the pier body are also very convenient to detect, supplement, stretch and replace, so that the pier body is quickly repaired after being shaken. The invention has good working performance under normal use state and earthquake action, and is worth popularizing and using in actual engineering.
The above embodiments are merely examples and do not limit the scope of the present invention. These embodiments may be implemented in other various manners, and various omissions, substitutions, and changes may be made without departing from the technical spirit of the present invention.

Claims (10)

1. A double-column type prefabricated swinging pier multiple damping structure system with replaceable prestressed tendons is characterized by comprising an upper bridge body, a bearing platform (6), a plurality of anchor backing plates (10), two prefabricated piers (4), a plurality of prestressed steel beams (7) and a plurality of pile foundations (11), wherein the top surface of each pile foundation (11) is fixedly connected with the bottom surface of the bearing platform (6), the prefabricated piers (4) are vertically arranged on the bearing platform (6), the top surface of each prefabricated pier (4) is fixedly connected with the bottom surface of the upper bridge body,
the anchor backing plate (10) is pre-buried in the middle of the prefabricated pier (4), the end part of the anchor backing plate (10) extends out of the prefabricated pier (4) to form anchoring, a plurality of vertical prestressed pipelines (15) are arranged below the anchoring position, a plurality of steering prestressed pipelines (16) are arranged in the bearing platform (6), the vertical prestressed pipeline (15) is communicated with the steering prestressed pipeline (16) end to form a U-shaped prestressed pipeline, one end of the prestressed steel bundle (7) is fixedly connected with the anchoring position of one anchor backing plate (10), the other end of the prestressed steel bundle passes through the vertical prestressed pipeline (15), the steering prestressed pipeline (16) and the vertical prestressed pipeline (15) in sequence and then is fixedly connected with the anchoring position of the other anchor backing plate (10), and a swinging interface (8) is formed between the contact surfaces of the prefabricated pier (4) and the bearing platform (6).
2. The multi-damping structure system of the double-column type prefabricated swinging pier with the replaceable prestressed tendons as claimed in claim 1, wherein the structure system further comprises shear pins (5), the shear pins (5) are arranged between contact surfaces of the prefabricated pier (4) and a bearing platform (6), shear pin holes are formed in the top surface of the bearing platform (6), the tops of the shear pins (5) are connected with the prefabricated pier (4), and the bottoms of the shear pins (5) are arranged in the shear pin holes.
3. The multi-damping structure system for the precast dual post type pier with the replaceable prestressed tendons of claim 1, wherein the structure system comprises four prestressed steel bundles (7), and the ends of the four prestressed steel bundles (7) are respectively connected with the anchoring positions of the anchor backing plates (10).
4. The multi-damping structure system of double-column precast swinging pier with replaceable prestressed tendons as claimed in claim 1, wherein the anchoring position is provided with prestressed through holes, and the end of the prestressed steel bundle (7) penetrates upwards through the prestressed through holes and then is anchored and connected with the anchor backing plate (10).
5. The precast dual post pier multi-damping structure system with replaceable tendons of claim 1, wherein the prestressed steel bundles (7) are unbonded prestressed steel bundles.
6. The multiple shock-absorbing structure system of a precast dual post type pier with replaceable tendons of claim 1, wherein the structure system further comprises a protection cover (9), and the protection cover (9) is covered on the anchoring position.
7. The multi-damping structure system of double-column prefabricated swinging pier with replaceable prestressed tendons as claimed in claim 1, wherein the upper bridge body comprises a main beam (1) and a prefabricated capping beam (3), the bottom surface of the prefabricated capping beam (3) is fixedly connected with the top surfaces of two prefabricated piers (4) respectively, and the main beam (1) is arranged on the prefabricated capping beam (3).
8. The multi-damping structure system of the double-column precast swinging pier with the replaceable prestressed tendons according to claim 7, wherein the upper bridge body further comprises a stay rope damping support (2), and the stay rope damping support (2) is arranged between the main beam (1) and the precast capping beam (3).
9. The multi-damping structure system of the double-column type precast swinging pier with the replaceable prestressed tendons as claimed in claim 8, wherein the cable damping support (2) comprises a support top plate (21), a support bottom plate (22), a support core (23) and a plurality of cables (24), the top surface of the support core (23) is fixedly connected with the support top plate (21), the bottom surface of the support core (23) is fixedly connected with the support bottom plate (22), one end of each cable (24) is fixedly connected with the side surface of the support top plate (21), and the other end of each cable is fixedly connected with the side surface of the support bottom plate (22).
10. The multi-damping structure system of the double-column prefabricated swinging pier with the replaceable prestressed tendons as claimed in claim 1, wherein the prefabricated pier (4) is of a reinforced concrete structure, and the prefabricated pier (4) comprises vertically arranged reinforcing steel bars (12), stirrups (14) hooped on the peripheral sides of the reinforcing steel bars (12) and a concrete (13) body formed after pouring.
CN202110988595.6A 2021-08-26 2021-08-26 Double-column type prefabricated swing pier multiple damping structure system with replaceable prestressed tendons Pending CN113718639A (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN202110988595.6A CN113718639A (en) 2021-08-26 2021-08-26 Double-column type prefabricated swing pier multiple damping structure system with replaceable prestressed tendons

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN202110988595.6A CN113718639A (en) 2021-08-26 2021-08-26 Double-column type prefabricated swing pier multiple damping structure system with replaceable prestressed tendons

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Publication Number Publication Date
CN113718639A true CN113718639A (en) 2021-11-30

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