CN114329851B - Method and system for determining tensioning limiting space and computer readable storage medium - Google Patents
Method and system for determining tensioning limiting space and computer readable storage medium Download PDFInfo
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- CN114329851B CN114329851B CN202210244081.4A CN202210244081A CN114329851B CN 114329851 B CN114329851 B CN 114329851B CN 202210244081 A CN202210244081 A CN 202210244081A CN 114329851 B CN114329851 B CN 114329851B
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Abstract
The invention provides a method and a system for determining a tensioning limit space and a computer readable storage medium, which are used for a prestressed tendon tensioning and anchoring system. The invention obtains the parameters of the anchorage device, the working clamping piece and the prestressed tendon, establishes a stress model, and then simultaneously stretches the friction loss of the anchor mouth
Calculation formula of (2) and tendon retraction loss
Determines the optimal length h1 of the tension limit space. By adopting the tensioning limiting device with the optimal limiting space, the friction loss of a tensioning anchor port and the retraction loss of the prestressed tendon can be reduced to the minimum, and the two losses reach a common balanced state, so that the matching of the tensioning limiting device and a prestressed tendon tensioning anchoring system is ensured, the prestress loss is reduced, the engineering quality is ensured, and the reference significance is provided for the actual engineering use.
Description
Technical Field
The invention belongs to the technical field of prestress, and particularly relates to a method and a system for determining a tension limiting space and a computer readable storage medium.
Background
The prestress technology is developed in China for nearly one hundred years, the tension process research is in a hot tide all the time, the tension process research is deeply pursued by researchers, and breakthrough research results are not made for a while. Conventionally, a tensioning limiting device must be matched during prestress tensioning, and the purpose is to ensure that enough limiting space is available for relative sliding between a working clamping piece and a prestressed tendon (ensuring that the working clamping piece has a certain retreating space), so as to realize prestress tensioning.
The common tensioning jack and the limiting device are divided into two types, one type is a large-tonnage jack and a matched limiting plate for tensioning the porous anchor, the other type is a small-tonnage front clamping jack and a built-in limiting groove device for tensioning the single-hole anchor, and the limiting space (the retraction space of the working clamping piece) of any limiting device is constant. After the tensioning control force is designed, the working clamping piece with the self-anchoring function is gradually unloaded along with the tensioning force of the jack, so that the working clamping piece is locked, the prestressed tendon and the working clamping piece retract for a certain length to be locked, and the retraction length can cause the loss of the tensioning prestress.
However, the limit space of the limit device has strict matching requirements, and if not appropriate, the quality of prestressed construction is directly influenced. The limiting space is too small, so that the working clamping piece cannot be fully expanded, a large friction force is generated between the working clamping piece and the prestressed tendon, the friction loss of the tensioning anchor mouth is increased, and the prestress cannot be effectively transferred; the spacing space is too big, has reduced the loss of anchor mouth friction resistance to a certain extent, but the prestressing tendons then can produce great volume of withdrawing during the stretch-draw anchor, and the loss of withdrawing increases. Therefore, the spacing space must be kept a reasonable space.
Disclosure of Invention
The present invention is directed to solving the problems of the prior art, and a first object of the present invention is to provide a method for determining a tension limiting space. It is a second object of the present invention to provide a computer-readable storage medium. A third object of the present invention is to provide a tendon tensioning and anchoring system.
In order to achieve the first purpose, the invention adopts the following technical scheme: the method for determining the stretching limit space is used for a prestressed tendon stretching anchoring system, the prestressed tendon stretching anchoring system comprises an anchorage device and a working clamping piece, the anchorage device is arranged along the axial direction of the prestressed tendon, the working clamping piece is embedded in the anchorage device, the rear end of the anchorage device is abutted with a stretching limit device, the stretching limit device is provided with the limit space for the working clamping piece to retreat, and the determining method comprises the following steps:
establishing a stress model of the anchorage device, the working clamping piece and the prestressed tendon, and acquiring the length a of a right-angle side at the rear end of the working clamping piece, the included angle alpha between the conical surface of the working clamping piece and the axis of the prestressed tendon, the diameter D of the prestressed tendon and the unilateral gap x between the anchorage device and the prestressed tendon;
calculating the friction loss of the tension anchor mouth according to the following formula (1)
Wherein the content of the first and second substances,
allowable shear stress of the working clamping piece on the prestressed tendon;
h is the engagement depth of the working clip and the anchor, H = x-a2, wherein a2 is the corresponding thickness of the working clip when the length of the working clip exposed outside the anchor in the retreating process is H, a2= a (b-H)/b, wherein b is the length of the working clip, and b = a/tan alpha;
calculating the retraction loss of the prestressed tendon according to the following formula (2)
Wherein L is the distance between the tension end and the anchorage end of the prestressed tendon,
the elastic modulus of the prestressed tendon;
suppose that
=
And (3) combining the formula (1) and the formula (2), and in the calculated values of h, considering a positive number greater than 0 as one value of the limiting space length h 1.
The method for determining the limit space of the tensioning limiting device comprises the steps of obtaining parameters of an anchorage device, a working clamping piece and a prestressed tendon, establishing a stress model, and then determining the optimal tensioning limiting space length h1 by calculation. By adopting the tensioning limiting device with the optimal limiting space, the friction loss of a tensioning anchor port and the retraction loss of the prestressed tendon can be reduced to the minimum, and the two losses reach a common balanced state, so that the matching performance of the tensioning limiting device and a prestressed tendon tensioning anchoring system is ensured, the prestressed loss is reduced, the engineering quality is ensured, and the reference significance is provided for the actual engineering use.
In a preferred embodiment of the invention, the rendering is according to formula (1)
A curve varying with h is drawn according to the formula (2)
And along with the curve changing along with h, the intersection point of the two curves in the first quadrant is a value of the limiting space length h 1.
In the above technical scheme, drawing is used
A curve varying with h, and
the curve which changes along with h enables the value of the limiting space length h1 to be more intuitive.
In a preferred embodiment of the invention, the tension limiting device comprises a force bearing block abutted with the anchorage device and an elastic part arranged inside the force bearing block, and the working clamping piece is elastically connected with the force bearing block through the elastic part.
In a preferred embodiment of the present invention, one end of the elastic member close to the working clamping piece is fixedly connected with a movable blocking piece capable of axially sliding in the stress block, and one end of the elastic member far from the working clamping piece is fixedly connected with a step in the stress block.
In a preferred embodiment of the present invention, the elastic member is a cylindrical spring.
In another preferred embodiment of the invention, the tensioning limiting device comprises a stress block abutted with the anchor, a limiting step is arranged in the stress block, and a limiting space for the working clamping piece to retreat is arranged between the rear end surface of the anchor and the limiting step.
In order to achieve the second purpose, the invention adopts the following technical scheme: the computer readable storage medium stores a computer program, and the computer program is executed by a processor to implement the steps of the method for determining the limit space of the tensioning limit device provided by the invention.
In order to achieve the third purpose, the invention adopts the following technical scheme: the prestressed tendon tensioning and anchoring system comprises an anchorage device arranged along the axial direction of the prestressed tendon and a working clamping piece embedded in the anchorage device, wherein a tensioning limiting device can be abutted against the rear end of the anchorage device, the tensioning limiting device is provided with a limiting space for the working clamping piece to retreat, and the length of the limiting space of the tensioning limiting device is determined according to the method for determining the limiting space of the tensioning limiting device provided by the invention.
Additional aspects and advantages of the invention will be set forth in part in the description which follows and, in part, will be obvious from the description, or may be learned by practice of the invention.
Drawings
The above and/or additional aspects and advantages of the present invention will become apparent and readily appreciated from the following description of the embodiments, taken in conjunction with the accompanying drawings of which:
fig. 1 is a schematic view illustrating a connection between a tension limiting device and a prestressed tendon tension anchoring system in a first embodiment of the present application.
Fig. 2 is an architectural drawing of the tendon, anchor and working clip of the present application.
FIG. 3 is a schematic diagram of the present application for solving for optimal spacing space length.
Fig. 4 is a schematic structural view of a tension limiting device in the second embodiment of the present application.
Reference numerals in the drawings of the specification include: prestressed tendon 1, anchorage device 2, working clamping piece 3, tensioning limiting device 4, limiting space 401, stress block 41, limiting step 411, movable blocking piece 42 and elastic piece 43.
Detailed Description
Reference will now be made in detail to embodiments of the present invention, examples of which are illustrated in the accompanying drawings, wherein like or similar reference numerals refer to the same or similar elements or elements having the same or similar function throughout. The embodiments described below with reference to the accompanying drawings are illustrative only for the purpose of explaining the present invention, and are not to be construed as limiting the present invention.
In the description of the present invention, it is to be understood that the terms "longitudinal", "lateral", "vertical", "up", "down", "front", "back", "left", "right", "vertical", "horizontal", "top", "bottom", "inner", "outer", and the like, indicate orientations or positional relationships based on those shown in the drawings, and are used only for convenience in describing the present invention and for simplicity in description, and do not indicate or imply that the device or element being referred to must have a particular orientation, be constructed in a particular orientation, and be operated, and thus, should not be construed as limiting the present invention.
In the description of the present invention, unless otherwise specified and limited, it is to be noted that the terms "mounted," "connected," and "connected" are to be interpreted broadly, and may be, for example, a mechanical connection or an electrical connection, a communication between two elements, a direct connection, or an indirect connection via an intermediate medium, and specific meanings of the terms may be understood by those skilled in the art according to specific situations.
Example one
The embodiment provides a method for determining a tensioning limit space (determination method for short), which is used for a prestressed tendon tensioning and anchoring system. As shown in fig. 1, the prestressed tendon tensioning and anchoring system comprises an anchorage device 2 arranged along the axial direction of a prestressed tendon 1 and a working clamping piece 3 embedded in the anchorage device 2, wherein the rear end of the anchorage device 2 is abutted with a tensioning limiting device 4, and the tensioning limiting device 4 is provided with a limiting space 401 for the working clamping piece 3 to retreat. Wherein, stretch-draw stop device 4 includes the atress piece 41 with 2 butts of ground tackle, and the inside spacing step 411 that has of atress piece 41 has, has the spacing space 401 that supplies work clamping piece 3 to roll back between ground tackle 2 rear end face and the spacing step 411, and the distance between ground tackle 2 rear end face and the spacing step 411 is spacing space length h 1.
The determination method comprises the following steps:
as shown in fig. 2, a stress model of the anchorage device 2, the working clamping piece 3 and the prestressed tendon 1 is established, and the length a of the right-angle side at the rear end of the working clamping piece, the included angle alpha between the conical surface of the working clamping piece and the axis of the prestressed tendon, the diameter D of the prestressed tendon and the unilateral gap x between the anchorage device and the prestressed tendon are obtained. The acquisition modes of a, alpha, D and x can be field measurement, including but not limited to modes of vernier caliper, section scanning and mapping and the like; in different projects, the values of a, alpha, D and x are different and should be taken according to actual conditions. Calculating the friction loss of the tension anchor mouth according to the following formula (1)
Wherein the content of the first and second substances,
allowable shear stress of the working clamping piece on the prestressed tendon;
h is the engagement depth of the working clamping piece and the anchorage device, and H = x-a2 (the engagement depth value is not good because of small); wherein a2 is the corresponding thickness of the working clip when the length of the working clip exposed outside the anchor in the process of retreating is h, a2/(b-h) = a/b is obtained by utilizing the principle of similar triangle, and a2= a (b-h)/b is obtained after deformation; where b is the length of the working jaw, b = a/tan α.
Calculating the retraction loss of the prestressed tendon according to the following formula (2)
Wherein L is the distance between the tension end and the anchorage end of the prestressed tendon,
the modulus of elasticity of the prestressed tendon.
Suppose that
=
At the moment, the friction loss of the tensioning anchor mouth
And tendon retraction loss
And (3) balancing, and combining the formula (1) and the formula (2), wherein in the value of h, a positive number greater than 0 is regarded as one value of the limiting space length h 1.
Further preferably, as shown in FIG. 3, it can also be plotted according to equation (1)
A curve varying with h is drawn according to the formula (2)
And (3) according to the curve changed along with the h, the two curves have intersection points in the first quadrant and the third quadrant, and the intersection point of the two curves in the first quadrant is a value of the limiting space length h1 if the value of the third quadrant is a negative value and is abandoned.
Example two
The structure principle of this embodiment is basically the same as that of the first embodiment, and the difference lies in that the structure of the tension limiting device 4 is different, specifically, as shown in fig. 4, the tension limiting device 4 includes a force-bearing block 41 abutted to the anchorage device 2, and an elastic member 43 arranged inside the force-bearing block 41, and the working clamping piece 3 is elastically connected to the force-bearing block 41 through the elastic member 43. The elastic member 43 is preferably a cylindrical spring, the rear end of the elastic member 43 is fixedly connected with a step inside the force bearing block 41, the front end of the elastic member 43 is fixedly connected with a movable blocking piece 42 capable of axially sliding inside the force bearing block 41, and the rear end of the working clamping piece 3 is abutted against the front end of the movable blocking piece 42. In practice, the space for the working clamping piece 3 to return back can be ensured to be proper according to the stiffness coefficient of the adjusting cylindrical spring, namely, the proper spacing space length is ensured.
EXAMPLE III
The present embodiment provides a computer-readable storage medium, where a computer program is stored on the computer-readable storage medium, and when the computer program is executed by a processor, the steps of the method for determining a stretch-draw limit space provided in the first embodiment or the second embodiment are implemented.
Example four
The embodiment provides a prestressed tendon tensioning and anchoring system, as shown in fig. 1, the prestressed tendon tensioning and anchoring system includes an anchorage device 2 arranged along an axial direction of a prestressed tendon 1, and a working clip 3 embedded in the anchorage device 2, a tensioning limiting device 4 can be abutted against a rear end of the anchorage device 2, the tensioning limiting device 4 has a limiting space for the working clip 3 to retreat, and a length h1 of the limiting space of the tensioning limiting device 4 is determined according to the method for determining the tensioning limiting space provided in the first embodiment.
In the description herein, reference to the description of the terms "preferred embodiment," "one embodiment," "some embodiments," "an example," "a specific example" or "some examples" or the like means that a particular feature, structure, material, or characteristic described in connection with the embodiment or example is included in at least one embodiment or example of the invention. In this specification, the schematic representations of the terms used above do not necessarily refer to the same embodiment or example. Furthermore, the particular features, structures, materials, or characteristics described may be combined in any suitable manner in any one or more embodiments or examples.
While embodiments of the invention have been shown and described, it will be understood by those of ordinary skill in the art that: various changes, modifications, substitutions and alterations can be made to the embodiments without departing from the principles and spirit of the invention, the scope of which is defined by the claims and their equivalents.
Claims (8)
1. The method for determining the stretching limiting space is used for a prestressed tendon stretching anchoring system, the prestressed tendon stretching anchoring system comprises an anchorage device and a working clamping piece, the anchorage device is arranged in the axial direction of the prestressed tendon, the working clamping piece is embedded in the anchorage device, the rear end of the anchorage device is abutted with a stretching limiting device, and the stretching limiting device is provided with the limiting space for the working clamping piece to retreat, and the method for determining the stretching limiting space is characterized by comprising the following steps:
establishing a stress model of the anchorage device, the working clamping piece and the prestressed tendon, and acquiring the length a of a right-angle side at the rear end of the working clamping piece, the included angle alpha between the conical surface of the working clamping piece and the axis of the prestressed tendon, the diameter D of the prestressed tendon and the unilateral gap x between the anchorage device and the prestressed tendon;
calculating the friction loss of the tension anchor mouth according to the following formula (1)
Wherein, the first and the second end of the pipe are connected with each other,
allowable shear stress of the working clamping piece on the prestressed tendon;
h is the engagement depth of the working clip and the anchor, H = x-a2, wherein a2 is the corresponding thickness of the working clip when the length of the working clip exposed outside the anchor in the retreating process is H, a2= a (b-H)/b, wherein b is the length of the working clip, and b = a/tan alpha;
calculating the retraction loss of the prestressed tendon according to the following formula (2)
Wherein L is the distance between the tension end and the anchorage end of the prestressed tendon,
the elastic modulus of the prestressed tendon;
suppose that
=
And (3) combining the formula (1) and the formula (2), and in the calculated values of h, considering a positive number greater than 0 as one value of the limiting space length h 1.
2. A method for determining a tension limiting space according to claim 1, characterized in that the mapping is performed according to formula (1)
A curve varying with h is drawn according to the formula (2)
And along with the curve changing along with h, the intersection point of the two curves in the first quadrant is a value of the limiting space length h 1.
3. A tension limiting space determining method according to claim 1 or 2, wherein the tension limiting device comprises a force receiving block abutting against the anchorage device, and an elastic member provided inside the force receiving block, and the working jaw is elastically connected to the force receiving block through the elastic member.
4. A method for determining a tension limiting space according to claim 3, wherein a movable blocking piece capable of axially sliding in the stress block is fixedly connected to one end of the elastic member close to the working clamping piece, and one end of the elastic member far from the working clamping piece is fixedly connected to the step in the stress block.
5. A method of determining a tension limiting space of a tension limiting device as recited in claim 3 wherein the resilient member is a cylindrical spring.
6. A method for determining a tension limiting space as claimed in claim 1 or 2, wherein the tension limiting device comprises a force bearing block abutting against the anchor, the force bearing block is internally provided with a limiting step, and a limiting space for retracting the working clamping piece is arranged between the rear end surface of the anchor and the limiting step.
7. Computer-readable storage medium, characterized in that it has stored thereon a computer program which, when being executed by a processor, carries out the steps of a stretch-stop space determination method according to any one of claims 1 to 6.
8. The prestressed tendon stretching and anchoring system is characterized by comprising an anchorage device and a working clamping piece, wherein the anchorage device is arranged along the axial direction of the prestressed tendon, the working clamping piece is embedded in the anchorage device, the rear end of the anchorage device is abutted with a stretching limiting device, the stretching limiting device is provided with a limiting space for the working clamping piece to retreat, and the length of the limiting space of the stretching limiting device is determined according to the method for determining the stretching limiting space in any one of claims 1 to 6.
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Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN103388408A (en) * | 2013-07-28 | 2013-11-13 | 桂林理工大学 | External pre-stressed tendon reinforcing steering block for building structure |
| CN105651684A (en) * | 2016-04-12 | 2016-06-08 | 宁波市镇海垚森土木工程技术服务有限公司 | Method for detecting friction loss and anchoring loss of post-tensioned pre-stressing concrete structure |
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Patent Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN103388408A (en) * | 2013-07-28 | 2013-11-13 | 桂林理工大学 | External pre-stressed tendon reinforcing steering block for building structure |
| CN105651684A (en) * | 2016-04-12 | 2016-06-08 | 宁波市镇海垚森土木工程技术服务有限公司 | Method for detecting friction loss and anchoring loss of post-tensioned pre-stressing concrete structure |
Non-Patent Citations (3)
| Title |
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| Optimum Limit Design of Continuous Prestressed Concrete Beams;M. Z. Cohn 等;《Journal of Structural Engineering》;19931201;第119卷(第12期);3551-3570 * |
| 电梯专用双列角接触球轴承单元功能组合设计;陈庆熙;《机电工程技术》;20140520;第43卷(第5期);159-161 * |
| 移动模架现浇梁施工技术在桥梁工程中的应用;李兴亮;《交通世界》;20180409(第8期);113-114 * |
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