KR101727387B1 - Deviation Saddle for Forming Elliptic Duct and Manufacturing Method thereof - Google Patents
Deviation Saddle for Forming Elliptic Duct and Manufacturing Method thereof Download PDFInfo
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- KR101727387B1 KR101727387B1 KR1020150099886A KR20150099886A KR101727387B1 KR 101727387 B1 KR101727387 B1 KR 101727387B1 KR 1020150099886 A KR1020150099886 A KR 1020150099886A KR 20150099886 A KR20150099886 A KR 20150099886A KR 101727387 B1 KR101727387 B1 KR 101727387B1
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- Prior art keywords
- duct
- radius
- conversion block
- direction conversion
- tangent angle
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- E—FIXED CONSTRUCTIONS
- E01—CONSTRUCTION OF ROADS, RAILWAYS, OR BRIDGES
- E01D—CONSTRUCTION OF BRIDGES, ELEVATED ROADWAYS OR VIADUCTS; ASSEMBLY OF BRIDGES
- E01D19/00—Structural or constructional details of bridges
- E01D19/14—Towers; Anchors ; Connection of cables to bridge parts; Saddle supports
-
- E—FIXED CONSTRUCTIONS
- E01—CONSTRUCTION OF ROADS, RAILWAYS, OR BRIDGES
- E01D—CONSTRUCTION OF BRIDGES, ELEVATED ROADWAYS OR VIADUCTS; ASSEMBLY OF BRIDGES
- E01D19/00—Structural or constructional details of bridges
- E01D19/16—Suspension cables; Cable clamps for suspension cables ; Pre- or post-stressed cables
-
- E—FIXED CONSTRUCTIONS
- E01—CONSTRUCTION OF ROADS, RAILWAYS, OR BRIDGES
- E01D—CONSTRUCTION OF BRIDGES, ELEVATED ROADWAYS OR VIADUCTS; ASSEMBLY OF BRIDGES
- E01D2/00—Bridges characterised by the cross-section of their bearing spanning structure
- E01D2/04—Bridges characterised by the cross-section of their bearing spanning structure of the box-girder type
Abstract
A direction conversion block in which an elliptical duct is formed, and a manufacturing method thereof are presented. A method of manufacturing a direction conversion block in which a duct through which a tension member or a cable passes is formed in a saddle portion of a prestressed (PS) concrete box girder or a direction conversion block of a cable- Determining a radius of the circular duct and a radius of the uniformly distributed tangent to a predetermined reference tangent angle; Determining a length of the short axis of the ellipse with respect to the radius of the circular duct and the radius of the uniformly distributed force with respect to the reference tangent angle; Determining a difference between a longitudinal length of the direction converting block and a height difference of the duct with respect to a length of the short axis of the ellipse and a tangent angle of the lead portion and a tangent angle of the inserting portion and determining a difference in height between the fixing bar and the additional reinforcing bars, Determining a size of the direction conversion block by using the direction conversion block; Bending a steel pipe or a sheath in the shape of the ellipse so as to satisfy a length of the direction conversion block and a height difference of the duct and installing the steel pipe or sheath in a mold of the direction conversion block together with the reinforcement; And casting the concrete to form an elliptical duct.
Description
The following embodiments relate to a direction conversion block in which an elliptical duct is formed and a method of manufacturing the same. More particularly, the present invention relates to a direction conversion block in which an elliptical duct for installing an elliptical duct is formed in a direction conversion block, and a method of manufacturing the same.
Deviation saddles are used in external prestressing and in fixtures of cable-stayed bridge pylons and cables for directional changes of tendons or cables.
1 is a view schematically showing a direction conversion block of a PS concrete box girder according to an embodiment.
As shown in FIG. 1, the shape of the
2 is a view showing a direction conversion block to which a conventional circular duct is applied.
Referring to FIG. 2, an existing direction conversion block installed at a junction between a web and a flange of a box girder section and having a circular duct may be used. The duct of the direction conversion block, which is the hole through which the tension will pass, is a steel tube or
The distribution of the unit length pull-out force acting on a circular duct is maximum at a tangential angle of 0 degrees and decreases rapidly when the angle of transformation of the tension member increases beyond 10 degrees. As a result, when the orientation angle of the tension member is relatively large, the direction conversion block in which the circular duct is used must be designed in a large size inefficiently.
Korean Patent Laid-open Publication No. 10-2013-0095713 [Patent Document 1] relates to a duct-type installation method of a direction conversion block in which a uniform distribution force is applied, To a method of installing ducts of varying shapes.
The direction conversion block manufactured by this method can reduce the size of the direction conversion block using the rounded duct considerably as the direction conversion angle is increased to the optimized size. However, in the installation of ducts with uniform distribution, the complexity of calculating the curvature and the location of the tensions due to each curvature must be applied according to the tangent angle change of the tension member, which requires a lot of time and cost to manufacture the duct.
Korean Patent Laid-open Publication No. 10-2013-0047720 [Patent Document 2] relates to a method of fixing a cable girder by arranging such a cross-section of a concrete curved box cross-section, To a method of fixing a girder of a cable in a concrete box girder.
The embodiments describe a direction conversion block in which an elliptic duct is formed and a method of manufacturing the same. More specifically, a prestressed concrete box girder is placed on a box-shaped cross-section or outside a plan. The present invention provides a technique for a deviation saddle in which an elliptical duct is formed to convert the direction of a tension in an external prestressing method.
Embodiments provide a method and apparatus for forming an elliptical duct in a direction conversion block so that the efficiency of the duct in which the equalization pull-out force acts in the direction conversion block and the direction in which the elliptical duct is formed And a method for fabricating the same.
A direction conversion block in which a duct through which a tension member or a cable passes is formed in a saddle portion of a prestressed (PS) concrete box girder according to an embodiment or a direction conversion block of a cable- A method of making, the method comprising: determining a radius of a circular duct and a radius of an equiangular spouting force to a predetermined reference tangent angle; Determining a length of the short axis of the ellipse with respect to the radius of the circular duct and the radius of the uniformly distributed force with respect to the reference tangent angle; Determining a difference between a longitudinal length of the direction converting block and a height difference of the duct with respect to a length of the short axis of the ellipse and a tangent angle of the lead portion and a tangent angle of the inserting portion and determining a difference in height between the fixing bar and the additional reinforcing bars, Determining a size of the direction conversion block by using the direction conversion block; Bending a steel pipe or a sheath in the shape of the ellipse so as to satisfy a length of the direction conversion block and a height difference of the duct and installing the steel pipe or sheath in a mold of the direction conversion block together with the reinforcement; And creating an elliptical duct by pouring the concrete.
After the curing of the direction conversion block, the step of inserting the tension member or cable into the inserting portion of the elliptical duct and pulling the tension member or cable from the lead portion to introduce a direction changing force or pulling force into the direction changing block .
The step of determining the radius of the circular duct and the radius of the uniformly distributed tangential line with respect to the predetermined reference tangent angle may be performed by calculating a radius of the circular duct and a radius of the uniformly distributed pulling force with respect to the reference tangent angle, Can be determined.
[Equation 1]
Wherein the step of determining the short axis short length of the ellipse with respect to the radius of the circular duct and the radius of the equi-distributed tractive force with respect to the reference tangent angle is performed on the basis of the radius of the circular duct and the radius of the uniform- The length of the short axis of the ellipse can be determined by
&Quot; (2) "
&Quot; (3) "
Wherein the step of determining the size of the direction conversion block comprises the steps of: determining a difference between a longitudinal length of the direction conversion block and a height of the duct with respect to a length of the short axis of the ellipse, a tangent angle of the lead portion, . ≪ / RTI >
&Quot; (5) "
A direction change block in which an elliptical duct according to another embodiment is formed, comprising: a direction conversion block of a prestressed (PS) concrete box girder; And an elliptic duct formed in the direction conversion block and through which a tension member or a cable passes, wherein the elliptical duct determines a radius of the circular duct and a radius of an equi-distributed pulling force with respect to a predetermined reference tangent angle, Wherein the direction conversion block determines the length of the short axis of the ellipse with respect to the radius of the duct and the radius of the uniform distribution of tangent to the reference tangent angle, And the size of the direction conversion block is determined by using at least one of the fixing reinforcement and the reinforcement roots and the thickness of the covering reinforcement.
According to embodiments, in an external prestressing method in which a tension applied to a prestressed concrete box girder is disposed outside a box-shaped cross-section or a plan, an elliptical duct for converting the direction of the tension duct may be provided with a deviation saddle.
According to embodiments, an elliptical duct is formed in the direction conversion block, thereby forming an elliptical duct for maintaining the efficiency of the duct in which the pull-out force acts in the direction conversion block and the manufacturing convenience of using the circular duct to the maximum And a method of manufacturing the same.
1 is a view schematically showing a direction conversion block of a PS concrete box girder according to an embodiment.
2 is a view showing a direction conversion block to which a conventional circular duct is applied.
3 is a view for explaining the equilibrium condition of the unit length force of the concrete section and the friction loss due to the directional change of the tension force.
FIG. 4 is a view for explaining a tangential angle of an elliptical characteristic and a geometric shape of an ellipse according to an embodiment.
FIG. 5 is a diagram showing a change in the curvature friction coefficient of a ratio to a circular radius of an elliptical short axis length according to an embodiment. FIG.
6 is a view for explaining the size and the unit length pulling force ratio of the direction conversion block in which the elliptical duct according to the embodiment is formed.
FIG. 7 is a view for explaining a ratio of a unit length of a directional conversion block to an allowable pulling force of an elliptical duct according to an embodiment.
8 is a view for explaining the effect of decreasing the length of the direction conversion block according to the increase of the tangent angle of the lead-out portion and the tangent angle of the insert portion of the direction change block in which the elliptical duct is formed according to the embodiment.
9 is a view for explaining the effect of reducing the tangent angle of the lead-out portion of the direction conversion block in which the elliptic duct is formed and the height difference of the duct according to the increase of the tangent angle of the insertion portion.
10 is a flowchart illustrating a method of manufacturing a direction conversion block in which an elliptical duct is formed according to an embodiment.
Hereinafter, embodiments will be described with reference to the accompanying drawings. However, the embodiments described may be modified in various other forms, and the scope of the present invention is not limited by the embodiments described below. In addition, various embodiments are provided to more fully describe the present invention to those skilled in the art. The shape and size of elements in the drawings may be exaggerated for clarity.
Embodiments relate to a method and apparatus for converting a prestressed concrete box girder into a directional block to convert the direction of the tension in an external prestressing method wherein the tension applied to the girder of a box- saddle ducts. More particularly, it relates to an elliptic duct of a direction conversion block that can efficiently produce a unit length draw force more easily than a conventional circular duct while making it easier to manufacture than a conventional duct for a pull-out force of a direction conversion block. .
That is, embodiments relate to a direction conversion block and a method of manufacturing the direction conversion block in which an elliptical duct is formed to maximize the efficiency of the duct in which the uniform distribution of force is exerted in the direction conversion block and the ease of manufacturing the circular duct.
3 is a view for explaining the equilibrium condition of the unit length force of the concrete section and the friction loss due to the directional change of the tension force.
Referring to FIG. 3, equilibrium conditions of a unit length of a concrete section and a frictional loss due to a direction change of a tension force are shown, and a calculation formula thereof is shown. In the
The vertical direction unit
Referring to FIG. 7, the difference in the distribution of the unit length draw-off
In order to solve such a problem, in
Embodiments are intended to maximize the merits of the advantages and disadvantages of the conventional direction conversion block as described above, and it is an object of the present invention to apply a elliptical duct to a direction conversion block to facilitate the installation of a duct while showing a distribution of a pulling force similar to a uniform distribution .
In order to apply the elliptical duct to the direction conversion block, the vertical draw-out force acting on the direction conversion block and the size of the short axis with respect to the ellipse should be determined. Here, the vertical pulling
FIG. 4 is a view for explaining a tangential angle of an elliptical characteristic and a geometric shape of an ellipse according to an embodiment.
Referring to FIG. 4, a formula for the tangential angle of the elliptical geometry and the elliptical characteristic can be expressed. In order to determine the size (43, 44) of the short axis for the ellipse, determine the size (43, 44) of the short axis of the elliptical duct required for the direction conversion block from the elliptic curvature radius equation and the curvature radius equation of Equation .
The geometric shapes of the ellipses, the formulas of the ellipses, the slope of the tangent angles, and the normals and curvature radii can be represented as shown in FIG. The radius of curvature of the ellipse relative to the
The
When the curvature radius for the arbitrary reference
FIG. 5 is a diagram showing a change in the curvature friction coefficient of a ratio to a circular radius of an elliptical short axis length according to an embodiment. FIG.
Referring to FIG. 5, a change in the ratio of the ratio of the basic
When the
From the above derived equations, the
That is, the radius of curvature of the ellipse can be obtained from the radius of
A method of manufacturing the direction conversion block in which the elliptical duct is formed will be described in detail below.
10 is a flowchart illustrating a method of manufacturing a direction conversion block in which an elliptical duct is formed according to an embodiment. A method of fabricating a direction conversion block in which an elliptical duct according to an embodiment is formed may be more specifically described with reference to FIGS. 2 to 6. FIG.
In
In other words, the
The unit length pulling force can be expressed as follows.
In
In other words, the short axis
Or, the
In
In other words, by using the following equation (5) for the
In
At
Then, at a necessary time after the curing of the direction conversion block, a tension member or cable may be inserted into the insertion portion of the elliptical duct, and a tension member or cable may be pulled at the lead portion to introduce a direction changing force or pulling
Therefore, by forming the elliptical duct in the direction conversion block, the efficiency of the duct in which the pull-out force acts in the direction conversion block and the directional change in which the elliptical duct is formed to maintain the maximum convenience of use of the circular duct are formed Block and a manufacturing method thereof.
The direction conversion block in which the elliptical duct is formed will be described in detail below.
The direction conversion block in which the elliptical duct according to another embodiment is formed may include the direction conversion block and the elliptical duct. The direction conversion block in which the elliptical duct is formed may be formed by a method of fabricating the direction conversion block in which the elliptical duct described above is formed.
The direction conversion block may be formed in a prestressed (PS) concrete box girder. The deflection block can be used for external prestressing and for changing the orientation of tendons or cables in fixtures of cable towers and cable towers.
The direction conversion block determines the difference between the longitudinal length of the direction conversion block and the height of the duct relative to the length of the short axis of the ellipse and the tangent angle of the lead portion and the tangent angle of the insertion portion, The size of the direction conversion block can be determined using one or more.
In other words, by using the following equation (5) for the
&Quot; (4) "
&Quot; (5) "
An elliptical duct may be formed in the direction conversion block and a space portion may be formed through which the tension member or the cable can pass. The elliptical duct may determine the radius of the circular duct and the radius of the equilateral tangential to the predetermined reference tangent angle to determine the length of the short axis of the ellipse relative to the radius of the circular duct and the radius of the equilateral tangent to the reference tangent angle .
In other words, the
[Equation 1]
Then, the short axis
&Quot; (2) "
Or, the
&Quot; (3) "
Thus, in an external prestressing method in which a tension applied to a prestressed concrete box girder is disposed outside the abdomen of the box-shaped section or outside the plan, an elliptical duct for converting the direction of the tension member, A deviation saddle may be provided.
6 is a view for explaining the size and the unit length pulling force ratio of the direction conversion block in which the elliptical duct according to the embodiment is formed.
Referring to FIG. 6, it is possible to compare the size and the unit length pulling force ratio of the directional conversion block to which the conventional
The unit
FIG. 7 is a view for explaining a ratio of a unit length of a directional conversion block to an allowable pulling force of an elliptical duct according to an embodiment.
7, there is shown a comparison of the ratio of the conventional
If the reference
FIGS. 8 and 9 are views showing the relationship between the longitudinal length of the direction conversion block and the height difference of the duct, to which the elliptic duct according to the embodiment is formed, and the direction conversion block to which the duct having the unit length lean- Compared with the reduction effect.
8 is a view for explaining the effect of decreasing the length of the direction conversion block according to the increase of the tangent angle of the lead-out portion and the tangent angle of the insert portion of the direction change block in which the elliptical duct is formed according to the embodiment. 9 is a view for explaining the effect of decreasing the tangent angle of the lead portion of the direction conversion block in which the elliptical duct is formed according to the embodiment and the height difference of the duct according to the increase of the tangent angle of the insertion portion.
The change of the
Further, the effect of reducing the height difference of the duct is greater than the longitudinal length 53 of the duct. Particularly, when the
Therefore, it takes a lot of time and cost to manufacture a duct in the direction conversion block to which the duct in which the uniform distribution fuel is applied for the optimum design of
Furthermore, the conventional
While the present invention has been particularly shown and described with reference to exemplary embodiments thereof, it is to be understood that the invention is not limited to the disclosed exemplary embodiments. For example, it is to be understood that the techniques described may be performed in a different order than the described methods, and / or that components of the described systems, structures, devices, circuits, Lt; / RTI > or equivalents, even if it is replaced or replaced.
Therefore, other implementations, other embodiments, and equivalents to the claims are also within the scope of the following claims.
11: PS concrete box girder (prestressed concrete box girder)
12: external tendon
13: a block type deviation saddle
14: diaphragm-type direction conversion block
20: Duct
21: radius of curvature of circular duct
22: steel tube or sheath
23: Tensile strength of drawer
24: tensile strength of the insert
25: a deviation force or a pull-out force,
26: Tangent angle of lead
27: Tangent angle of insertion
28: Fixed reinforcing bars for pulling force
29: additional reinforcement for shear friction and flexure
30: Curvature radius
31: tangent angle
32: unit length normal force
33: unit length friction force
34: Unit length pull-out force
35: unit length horizontal force
41: Horizontal coordinate axis with respect to the center of the ellipse
42: Vertical coordinate axis for the center of the ellipse
43: Length of ellipse long axis
44: length of elliptical shortening
51: Curvature friction coefficient
52: basic tangent angle
60: direction conversion block in which an elliptic duct is formed
61: longitudinal length of elliptical duct
62: Vertical height of elliptical duct
63: Oval duct
64: Distribution of unit length pullout ratio acting on elliptical duct
65: Direction conversion block with circular duct
66: longitudinal length of circular duct
67: Vertical height of round duct
68: Circular duct
69: Distribution of the pulling force ratio acting on the circular duct
Claims (6)
Determining a radius of the circular duct and a radius of the uniformly distributed tangent to a predetermined reference tangent angle;
Determining a length of the short axis of the ellipse with respect to the radius of the circular duct and the radius of the uniformly distributed force with respect to the reference tangent angle;
Determining a difference between a longitudinal length of the direction converting block and a height difference of the duct with respect to a length of the short axis of the ellipse and a tangent angle of the lead portion and a tangent angle of the inserting portion and determining a difference in height between the fixing bar and the additional reinforcing bars, Determining a size of the direction conversion block by using the direction conversion block;
Bending a steel pipe or a sheath in the shape of the ellipse so as to satisfy a length of the direction conversion block and a height difference of the duct and installing the steel pipe or sheath in a mold of the direction conversion block together with the reinforcement; And
Steps to make an elliptical duct by pouring concrete
Wherein the duct is formed by a plurality of ducts.
Inserting the tension member or cable into the inserting portion of the elliptical duct after curing of the direction changing block and introducing a direction changing force or pulling force into the direction changing block by pulling the tension member or cable from the drawing portion
Wherein the duct is formed in the duct.
Wherein the step of determining the radius of the circular duct and the radius of the uniformly distributed tangential to the predetermined reference tangent angle comprises:
The radius of the circular duct and the radius of the uniformly distributed tension with respect to the reference tangent angle are determined by applying the following equation (1)
[Equation 1]
Wherein the duct is formed in a shape of a rectangular parallelepiped.
Wherein the step of determining the short axis length of the ellipse with respect to the radius of the circular duct and the radius of the uniformly distributed pulling force with respect to the reference tangent angle,
Determining a short axis length of the ellipse according to Equation (3) for the radius of the circular duct and the radius of the uniform tangential force with respect to the reference tangent angle with respect to the following equation (2) or the reference tangent angle of 30 degrees,
&Quot; (2) "
&Quot; (3) "
Wherein the duct is formed in a shape of a rectangular parallelepiped.
Wherein the step of determining the size of the direction-
Determining the difference between the longitudinal length of the direction conversion block and the height of the duct with respect to the length of the short axis of the ellipse, the tangent angle of the lead portion, and the tangent angle of the insertion portion, using the following equation (5)
&Quot; (5) "
Wherein the duct is formed in a shape of a rectangular parallelepiped.
An elliptical duct formed in the direction conversion block and through which a tension member or a cable passes,
Lt; / RTI >
The oval-
Determining a radius of the circular duct and a short axis length of the ellipse with respect to a radius of the uniform tangential force with respect to the reference tangent angle by determining a radius of the circular duct and a uniform reference tangent angle with respect to a predetermined reference tangent angle,
The direction conversion block includes:
Determining a difference between a longitudinal length of the direction converting block and a height difference of the duct with respect to a length of the short axis of the ellipse and a tangent angle of the lead portion and a tangent angle of the inserting portion and determining a difference in height between the fixing bar and the additional reinforcing bars, To determine the size of the direction conversion block
Wherein the elliptic duct is formed in the shape of a circle.
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Citations (2)
Publication number | Priority date | Publication date | Assignee | Title |
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JP3829069B2 (en) | 2001-05-09 | 2006-10-04 | 東京製綱株式会社 | Top saddle structure of bridges and top saddle construction method for bridges |
JP4663563B2 (en) | 2006-03-22 | 2011-04-06 | 独立行政法人鉄道建設・運輸施設整備支援機構 | Saddle structure for bridge |
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KR101468302B1 (en) | 2013-04-19 | 2014-12-02 | 인하대학교 산학협력단 | Girder Anchorage Method by Placing Cable througth Concrete Curved Box Section |
KR101508837B1 (en) | 2013-08-09 | 2015-04-06 | 인하대학교 산학협력단 | Duct Configuring Method of Deviation Saddle Acting Constant Pull-Out Force |
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Patent Citations (2)
Publication number | Priority date | Publication date | Assignee | Title |
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JP3829069B2 (en) | 2001-05-09 | 2006-10-04 | 東京製綱株式会社 | Top saddle structure of bridges and top saddle construction method for bridges |
JP4663563B2 (en) | 2006-03-22 | 2011-04-06 | 独立行政法人鉄道建設・運輸施設整備支援機構 | Saddle structure for bridge |
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