JP2019215267A - Support reaction calculation method of beam structure, and support reaction management system of beam structure - Google Patents

Abstract

To provide a support reaction calculation method and support reaction management system of a beam structure allowing a temporal measurement without using a load cell or a hydraulic jack.SOLUTION: In a support reaction calculation method of a beam structure, two first direction measurement points 11 are disposed on a web plate of the beam structure separately from each other by a predetermined distance L, in the first direction as the direction inclined by a predetermined angle with respect to the support reaction direction, an average shear strain γand a support reaction R of the web plate are calculated on the basis of the displacement Ubetween the first direction measurement points. The support reaction management system issues an alarm when a temporal monitoring is performed and then the support reaction exceeds a threshold.SELECTED DRAWING: Figure 1

Description

  The present invention relates to a method for calculating a fulcrum reaction force of a beam structure supported by a fulcrum and a fulcrum reaction force management system for the beam structure using the method.

Bridge structures such as bridge girders will be erected collectively by a large crane or the like, or will be erected by the delivery method.
When these erections are performed, the reaction force of the fulcrum portion changes at any time due to the erection state or disturbance such as wind, so it is necessary to manage the reaction force of the fulcrum portion in a timely manner.

The reaction force at the fulcrum is measured by a load cell installed at the fulcrum or a hydraulic jack.
In particular, in the case of the delivery method, the beam structure is supported by a truck provided with hydraulic jacks, a pressure sensor is provided on each hydraulic jack, and the measured value is measured as a reaction force.

However, in measurement using a conventional load cell or hydraulic jack, the following problems occur.
(1) Since the support by the load cell and the hydraulic jack is restricted in terms of planarity and height, it is necessary to set the support point to a size corresponding to the restriction, and it is difficult to set the support point to the optimum.
(2) Installation of the load cell and the hydraulic jack takes time, and the construction period becomes longer.
(3) The hydraulic jack may become unstable due to the loss of hydraulic pressure.
(4) Since the load cell, pressure sensor, hydraulic jack, etc. are all connected by wire, the device becomes large.
(5) Since the reaction force is directly measured by the load cell or the pressure sensor, the reaction force to be measured is limited.

  The present invention has been made to solve this problem, and provides a fulcrum reaction force calculation method and a fulcrum reaction force management system for a beam structure that can be measured over time without using a load cell or a hydraulic jack. The purpose is to:

In order to achieve the above object, the first invention of the present application is to apply a predetermined distance L to a web plate of a beam structure in a first direction which is a direction inclined at a predetermined angle with respect to a fulcrum reaction force direction. Two first measurement points are arranged, and the average shear strain γ _{xy and the} fulcrum reaction force R of the abdominal plate are calculated from the displacement U ₁ between the first direction measurement points. Provides a fulcrum reaction force calculation method.
The second invention of the present application is directed to a first direction which is a direction inclined at a predetermined angle with respect to the fulcrum reaction force direction, and a first direction parallel to the first direction and the fulcrum reaction force direction. in two directions, respectively at a predetermined distance L arranged two first direction measurement point and the second direction measurement point, the displacement of the displacement between U ₁ and the second direction measurement point between said first direction measurement point A method of calculating a fulcrum reaction force of a beam structure, comprising calculating an average shear strain γ _xy12 , γ _{xy2 of} the abdominal plate, an average shear force S ₁ , S _{2 of the} abdominal plate, and a fulcrum reaction force R from U _2. provide.
According to a third aspect of the present invention, a first direction, which is a direction inclined at a predetermined angle with respect to a fulcrum reaction force direction, and a line symmetric with respect to the first direction and the fulcrum reaction force direction are provided on the abdominal plate of the beam structure. in the second direction, respectively at a predetermined distance L arranged two first direction measurement point and the second direction measurement points, between the displacements U ₁ and the second direction measurement point between said first direction measurement point A method of calculating a fulcrum reaction force of a beam structure, comprising calculating an average shear strain γ _xy12 , γ _{xy2 of} the abdominal plate, an average shear force S ₁ , S _{2 of the} abdominal plate, and a fulcrum reaction force R from the displacement U _2. I will provide a.
The fourth invention of the present application provides the web structure of the beam structure with a first direction that is a direction inclined at a predetermined angle with respect to a fulcrum reaction force direction and a second direction that intersects the first direction. direction and placing the second direction, respectively two first direction measurement point at a predetermined distance L around the point of intersection of and the second direction measurement points, displacement U ₁ and between the first direction measurement point the second direction measurement points between the displacement U ₂ mean shear strain gamma _XY12 belly plate _from, characterized in that to calculate the fulcrum reaction force R, to provide a fulcrum reaction force calculation method of the beam structure.
The fifth invention of the present application is directed to a first direction, which is a direction inclined at a predetermined angle with respect to the fulcrum reaction force direction, toward the axial center of the beam structure near the fulcrum reaction force direction of the abdominal plate of the beam structure; In a second direction intersecting the first direction, two first direction measurement points and two second direction measurement points are respectively set at a predetermined distance L around a point intersecting the first direction and the second direction. Arranged, axially outside the beam structure near the fulcrum reaction force direction, a third direction that is a direction inclined at a predetermined angle with respect to the fulcrum reaction force direction, and a fourth direction that intersects the third direction, Two third direction measurement points and four direction measurement points are respectively arranged at a predetermined distance L around a point where the third direction and the fourth direction intersect, and displacement between the first direction measurement points U _1, displacement U ₂ between the second direction measurement _points, displacement U ₃ between the third direction measurement points Oyo From the displacement U ₄ between the second direction measurement points, a first direction measurement point and the second direction measurement point side of the mean shear strain gamma _XY12 of _webs, webs of the third direction measurement point and the fourth direction measurement point side Average shear strain γ _xy34 , average shear force S ₁₂ of the abdominal plate on the first direction measurement point and the second direction measurement point side, and average shear force S ₃₄ of the abdominal plate on the third direction measurement point and the fourth direction measurement point side. And a method of calculating a fulcrum reaction force R, which is characterized by calculating a fulcrum reaction force R.
According to a sixth aspect of the present invention, in the beam structure, the displacement U between the measurement points is measured by disposing a long-axis displacement sensor capable of measuring with time between the measurement points. Provide a fulcrum reaction force management system.
According to a seventh aspect of the present invention, there is provided a fulcrum reaction force management system characterized in that monitoring with time is performed by a monitoring device connected to the displacement sensor by wire or wirelessly.

According to the present invention, at least one of the following effects can be obtained by means for solving the above problems.
(1) There is no restriction in terms of planarity and height due to the use of the hydraulic jack, so that it is possible to provide an optimal support point and to perform construction safely.
(2) It is only necessary to attach the long axis displacement sensor to the abdominal plate of the beam structure, and the construction can be performed in a short construction period.
(3) Since no hydraulic jack is used, stable support is provided, and safety is improved.
(4) The long axis displacement sensor can be wireless, which facilitates installation and removal, and simplifies the device.
(5) Because the measurement is performed by the displacement sensor, a large reaction force can be measured.
(6) Temporal measurement and time monitoring are possible, and when the reaction force exceeds a threshold value, danger can be immediately recognized.

Explanatory drawing of a fulcrum reaction force calculation method and a fulcrum reaction force management system using the method according to the present invention (1) Connection diagram of displacement sensor and monitoring device Illustration of monitoring device Explanatory drawing (2) of a fulcrum reaction force calculation method and a fulcrum reaction force management system using the method according to the present invention. Explanatory drawing (3) of a fulcrum reaction force calculation method and a fulcrum reaction force management system using the same according to the present invention. Explanatory drawing (4) of a fulcrum reaction force calculation method of the present invention and a fulcrum reaction force management system using the method. Explanatory drawing (5) of a fulcrum reaction force calculation method and a fulcrum reaction force management system using the method according to the present invention.

  Hereinafter, embodiments of the present invention will be described with reference to the drawings.

[Example 1]
<1> Overall Configuration The present invention calculates and manages a reaction force at a fulcrum P of a beam structure B supported by a bogie 3 in a delivery method.
On the surface of the abdominal plate of the beam structure B, a set of two measurement points 11a, 11b, 11c and 11d are fixed in the vicinity of the fulcrum P in the direction of the reaction force in a X-shape and line-symmetrically in the direction of the reaction force. The displacement sensors 1a, 1b, 1c, 1d are attached between the measurement points 11a, 11b, 11c, 11d of each set (FIG. 1).
The displacement sensors 1a, 1b, 1c, 1d are connected to the monitoring device 2 by radio (FIG. 2). The connection with the monitoring device 2 may be a wired connection.
The displacement sensors 1a, 1b, 1c, and 1d need only be attached to the surface of the abdominal plate of the beam structure B, and can be constructed in a short construction period.
Also, the connection between the displacement sensors 1a, 1b, 1c, 1d and the monitoring device 2 can be made wireless, which facilitates installation and removal, and simplifies the device.

<2> Measurement by Displacement Sensor The displacement sensor 1 disposed between the measurement points 11 fixed to the beam structure B is a long-axis displacement sensor capable of measuring over time. For example, the measurement point 11 is measured using an optical fiber strand sensor. The displacement U between them is measured.

<3> Arrangement of Displacement Sensor and Measurement Point A direction inclined at a predetermined angle with respect to the reaction force direction of the fulcrum P on the axial center side of the beam structure B near the reaction force direction from the fulcrum P. A first direction and a second direction that intersects the first direction are determined. Further, a third direction that is a direction inclined at a predetermined angle with respect to the reaction force direction of the fulcrum P and a fourth direction that intersects the third direction are determined outside the beam structure B in the axial direction.
A set of first direction measurement points 11a ₁ , 11a ₂ and second direction measurement points 11b ₁ , 11b ₂ are arranged at a predetermined distance L about a point where the first direction and the second direction intersect. Then, a set of third direction measurement points 11c ₁ , 11c ₂ and fourth direction measurement points 11d ₁ , 11d ₂ are respectively arranged at a predetermined distance L about a point where the third direction and the fourth direction intersect. I do.
The first direction and the second direction, and the third direction and the fourth direction are all angles forming 45 ° and −45 ° with respect to the reaction force direction, and are preferably directions orthogonal to each other.
By attaching the displacement sensors 1a, 1b, 1c, and 1d between the respective measurement points 11a, 11b, 11c, and 11d, the displacement sensors 1a and 1b and 1c and 1d are each substantially in tolerance to each other and have a substantially X-shape. Is arranged on the surface of the beam structure B.
Then, the displacement between the first direction measurement point _11a 1, 11a _{2 U 1,} the second direction measurement points _11b 1, 11b displacement _{U 2} between the _two, the third direction measuring point _11c 1, 11c ₂ between displacements _U 3, a fourth direction measurement points _11d 1, 11d displacement _{U 4} between ₂ measuring.
Since the measurement point 11 is fixed on the beam structure B, each displacement U is a displacement of the beam structure B.

<4> Calculation of Average Shear Strain Displacements U ₁ , U ₂ , U ₃ , and U ₄ measured by the displacement sensors 1a, 1b, 1c, and 1d are taken into the monitoring device 2, and the equations 1 and 2 are used to calculate the beam structure B. , calculated first direction measurement point 11a and the second direction measuring point 11b side of the mean shear strain gamma _XY12 and third direction measurement points 11c and the fourth direction measurement point average shear strain gamma _Xy34 the 11d side of the webs of the web plate I do.

The displacements U ₁ , U ₂ , U ₃ , and U ₄ also include displacements caused by the axial strain of the beam structure B.
However, the displacement _{U 1, U 2, U 3} , the displacement sensors 1a and 1b for measuring the _{U 4,} 1c and 1d, since each has a substantially X-shape and tolerance to each other, subtraction by formula 1 Will be offset.

<5> Calculation of Shear Force The calculated average shear strain γ _x12 of the abdominal plate on the side of the first measurement point 11a and the second measurement point 11b and the antinode on the third measurement point 11c and the fourth measurement point 11d. the average shear strain .gamma.x ₃₄ of the plate, a first direction measurement point and webs of the second shear force direction measurement point side of the webs S ₁₂ and the third direction measurement point and the fourth direction measuring point side by formulas 3 and 4 to calculate the shear force _{S 34.}

Ａ_Ｗ：梁構造物の腹板の断面積
Ｇ：梁構造物のせん断弾性係数

A _W : Cross-sectional area of web plate of beam structure G: Shear modulus of beam structure

Ａ_Ｗ：梁構造物の腹板の断面積
Ｇ：梁構造物のせん断弾性係数

A _W : Cross-sectional area of web plate of beam structure G: Shear modulus of beam structure

  In the case where the material of the beam structure B is unequal or has a special structure, the relationship between the displacement and the strain is confirmed in advance by structural analysis (FEM analysis) or the like, and is determined based on the characteristics of the structure. The correction coefficient α may be used.

Ａ_Ｗ：梁構造物の腹板の断面積
Ｇ：梁構造物のせん断弾性係数
α：構造物の特性に基づく補正係数

A _W : Cross-sectional area of web plate of beam structure G: Shear modulus of beam structure α: Correction coefficient based on characteristics of structure

<6> The shear forces of the left and right of the webs sandwiching a reaction force direction calculation fulcrum P of the reaction force, shear force of webs of the first direction measurement point and the second direction measurement point side S ₁₂ and the three-way from the shear force S ₃₄ of webs of the measuring point and the fourth direction measurement point side, a reaction force R of the fulcrum P is calculated by equation 6.

Thus, by measuring the displacement U with the displacement sensor 1 of the long axis, a large reaction force R can be calculated without using a load cell or a hydraulic jack.
Since the bogie 3 is free from restrictions in terms of planarity and height due to the hydraulic jack, it can be set as an optimal support point and can be safely constructed. In addition, since no hydraulic jack is used, stable support is provided, and safety is improved.

<7> Support point reaction force management system The displacements U ₁ , U ₂ , U ₃ , and U ₄ are measured over time, and the results are taken into the monitoring device 2.
The monitoring device 2 is configured by connecting a communication unit 21, a control unit 22, a recording unit 23, an input unit 24, and a display unit 25 via a bus 26 (FIG. 3).
Further, an alarm device 27 that issues an alarm when the reaction force R exceeds a threshold value, or an electric bulletin board 28 that displays time-dependent data of the reaction force R and an alarm may be connected.
It is possible to measure the time and monitor the time, and when the reaction force R exceeds the threshold value, the danger can be immediately recognized.

<7.1> Communication Unit The communication unit 21 is connected to the displacement sensor 1 and takes in the displacements U ₁ , U ₂ , U ₃ , and U ₄ . Then, the captured data is sent to the control unit 22 and the recording unit 23.
Further, the communication unit 21 can communicate with another terminal (a personal computer, a smartphone, a server, or the like) at a remote place via the Internet or a public line.

<7.2> Control Unit The control unit 22 includes a CPU, a ROM, a RAM, and the like.
The CPU calls a program stored in the recording unit 23, the ROM, a recording medium, or the like into a work memory area on the RAM, executes the program, drives and controls each device connected via the bus 26, and executes a process performed by the computer. Realize.
The ROM is a non-volatile memory and permanently stores programs, data, and the like.
The RAM is a volatile memory that temporarily stores programs, data, and the like loaded from the recording unit 23, the ROM, the recording medium, and the like, and includes a work area used by the control unit 22 to perform various processes.

<7.3> Recording Unit The recording unit 23 is a hard disk, a flash memory, or the like, and stores a program to be executed by the control unit 22, data necessary for executing the program, temporary measurement data, and the like. Each of these program codes is read as needed by the CPU of the control unit 22, moved to the RAM, and executed.
Further, the recording unit 23 stores a program and the like for executing each mathematical expression.

<7.4> Input Unit, Display Unit, and Bus The input unit 24 performs input of data and includes, for example, an input device such as a touch panel and keys. Through the input unit 24, an operation instruction, an operation instruction, data input, and the like can be given to the computer.
The display unit 25 includes a display device such as a liquid crystal panel, and a logic circuit (video adapter or the like) for realizing a video function of a computer in cooperation with the display device.
The bus 26 is a path that mediates transmission and reception of control signals, data signals, and the like between the devices.

[Example 2]
In the first embodiment described above, the reaction force of the fulcrum P of the beam structure B in the delivery method is calculated and managed. However, the calculation and management of the reaction force of the fulcrum P of the beam structure B lifted by the suspension cable 4 are calculated. (FIG. 4).
When the fulcrum P is near the end of the beam structure B, of the shearing forces of the left and right abdominal plates sandwiching the reaction direction of the fulcrum P, the shearing force of the end-side abdominal plate (in the first embodiment). _S34 ) can be ignored.
At this time, the shear force S ₁₂ in the axial direction center side first direction and webs calculated by measuring the displacement of the second direction of the beam structure B is the reaction force R of the fulcrum P.

[Example 3]
In the first and second embodiments, the displacement sensors 1 are arranged so as to have a substantially X-shape in order to cancel the displacement caused by the axial strain of the beam structure B. When the displacement caused by the axial strain is substantially the same on the left and right with respect to the first direction, which is a direction inclined at a predetermined angle with respect to the fulcrum reaction force direction, and the first direction and the fulcrum reaction force direction Two first-direction measurement points 11a ₁ and 11a ₂ and second-direction measurement points 11b ₁ and 11b ₂ at a predetermined distance L in a second direction that is sandwiched therebetween and that is parallel to or parallel to the fulcrum reaction force direction. Are arranged (FIGS. 5 and 6).
Then, each measurement point 11a, the displacement sensor 1a between 11b, attached to 1b, displacement _{U 1} between the first direction measurement point _11a 1, 11a _2, displacement U between the second direction measurement point _11b 1, 11b ₂ Measure ₂ .

<1> Calculation of Average Shear Strain The displacements U ₁ and U ₂ measured by the displacement sensors 1 a and 1 b are taken into the monitoring device 2, and from Equations 7 and 8, the average shear strain of the abdominal plate on the first direction measurement point 11 a side. γ _xy1 and the average shear strain γ _xy2 of the abdominal plate on the second direction measurement point 11b side are calculated.

<2> from the average shear strain gamma _xy2 average shear strain gamma _xy1 and second direction measurement point 11b side of the web plate in the first direction measurement point 11a of the webs that have been calculated by the calculation monitoring device 2 of the shear force, the formula 9,10 by calculating the shearing force S ₂ of the shear force one direction measurement point side of the webs S ₁ and second direction measurement point side of the web plate.

Ａ_Ｗ：梁構造物の腹板の断面積
Ｇ：梁構造物のせん断弾性係数

A _W : Cross-sectional area of web plate of beam structure G: Shear modulus of beam structure

Ａ_Ｗ：梁構造物の腹板の断面積
Ｇ：梁構造物のせん断弾性係数

A _W : Cross-sectional area of web plate of beam structure G: Shear modulus of beam structure

<3> reaction force is a shear force of the left and right webs sandwiching a reaction force direction calculation fulcrum P of the shear force in the first direction measurement point side of the webs S ₁ and second direction measurement point side of the web plate from the shear force S _2, the displacement sensor 1, the reaction force R of the fulcrum P is calculated by the equation 11 in the case of parallel placed across the fulcrum reaction force direction. When the displacement sensor 1 is installed symmetrically with respect to the fulcrum reaction force direction, the reaction force R of the fulcrum P is calculated by Expression 12.

The shear forces S ₁ and S ₂ include an error due to a displacement caused by the axial strain of the beam structure B.
However, since the displacement sensors 1a and 1b are provided in parallel with the direction of the fulcrum reaction force, the displacement sensors 1a and 1b are offset by subtraction using Expression 11.
When the displacement caused by the axial strain is small and can be ignored, the reaction force R can be calculated by providing the displacement sensor 1 in line symmetry and adding the displacement sensor 1 using Expression 12.

[Example 4]
When the fulcrum P is near the end of the beam structure B, of the shearing forces of the left and right abdominal plates sandwiching the reaction direction of the fulcrum P, the shearing force of the end-side abdominal plate (in the first embodiment). _S34 ) can be ignored.
In addition, since it is near the end, the axial strain and the displacement due to it can be ignored.
In this case, the shearing force of the webs that have been calculated by measuring the displacement U ₁ in the first direction of the axial center side of the beam structure B is the reaction force R of the fulcrum P (Figure 7).

<1> displacement U ₁ measured by calculating the displacement sensor 1a of the mean shear strain is taken to the monitoring apparatus 2 calculates the average shear strain gamma _xy first direction measurement point 11a of the webs from the formula 13.

<2> Calculation of Reaction Force The reaction force R of the fulcrum P is calculated from Expression 14 from the average shear strain γ _xy of the abdominal plate on the first direction measurement point 11a side calculated by the monitoring device 2.

Ａ_Ｗ：梁構造物の腹板の断面積
Ｇ：梁構造物のせん断弾性係数

A _W : Cross-sectional area of web plate of beam structure G: Shear modulus of beam structure

[Other Examples]
In the above-described embodiment, the displacement U between the measurement points 11 is measured by the displacement sensor 1 of the long axis. However, the present invention is not limited to this. For example, the beam structure B in which the target is disposed at each measurement point 11 is photographed and photographed. The displacement U may be measured by analyzing the obtained image.

DESCRIPTION OF SYMBOLS 1 ... Displacement sensor, 11 ... Measurement point 2 ... Monitoring device, 21 ... Communication part, 22 ... Control part, 23 ... Recording part, 24 ... Input part, 25 ... Display part, 26 ... Bus, 27 ... Alarm device, 28 ... Electric bulletin board 3… Dolly 4… Hanging cable

Claims (7)

A method for calculating a fulcrum reaction force of a beam structure supported by a fulcrum,
On the abdominal plate of the beam structure, two first direction measurement points are arranged at a predetermined distance L in a first direction that is a direction inclined at a predetermined angle with respect to a fulcrum reaction force direction,
Displacement U ₁ between the first direction measuring points is measured,
Calculate the average shear strain γ _xy of the abdominal plate from Equation 1 below,
A method of calculating a fulcrum reaction force of a beam structure, wherein the fulcrum reaction force R is calculated from the following equation (2).

A _W : Cross-sectional area of web plate of beam structure G: Shear modulus of beam structure A method for calculating a fulcrum reaction force of a beam structure supported by a fulcrum,
On the abdominal plate of the beam structure, a first direction that is a direction inclined at a predetermined angle with respect to a fulcrum reaction force direction, and a second direction parallel to the first direction and the fulcrum reaction force direction, Arranging two first-direction measurement points and two-direction measurement points respectively at a distance L,
Displacement U ₂ between the displacement U ₁ and the second direction measurement point between said first direction measuring points is measured,
Calculating the average shear strain γ _xy1 of the abdominal plate on the measurement point side in the first direction from Equation 3 below,
Calculating the average shear strain γ _xy2 of the abdominal plate on the measurement point side in the second direction from Equation 4 below,
Calculating an average shear force S ₁ from Equation 5 below the first direction measurement point side of the web plate,
The average is calculated shear force S ₂ from Equation 6 below the second direction measurement point side of the web plate,
A method of calculating a fulcrum reaction force of a beam structure, wherein the fulcrum reaction force R is calculated from the following equation (7).

A _W : Cross-sectional area of web plate of beam structure G: Shear modulus of beam structure

A _W : Cross-sectional area of web plate of beam structure G: Shear modulus of beam structure

A method for calculating a fulcrum reaction force of a beam structure supported by a fulcrum,
In the abdominal plate of the beam structure, a first direction that is a direction inclined at a predetermined angle with respect to a fulcrum reaction force direction, and a second direction that is line-symmetric with respect to the first direction and the fulcrum reaction force direction, Two first-direction measurement points and two-direction measurement points are arranged at a distance L of
Displacement U ₂ between the displacement U ₁ and the second direction measurement point between said first direction measuring points is measured,
Calculating the average shear strain γ _xy1 of the abdominal plate on the measurement point side in the first direction from Equation 8 below,
Calculating the average shear strain γ _xy2 of the abdominal plate on the measurement point side in the second direction from Equation 9 below,
From Equation 10 below calculates the average shear force S ₁ of the first direction measurement point side of the web plate,
The average is calculated shear force S ₂ from equation 11 below the second direction measurement point side of the web plate,
A method for calculating a fulcrum reaction force of a beam structure, wherein the fulcrum reaction force R is calculated from the following equation (12).

A _W : Cross-sectional area of web plate of beam structure G: Shear modulus of beam structure

A _W : Cross-sectional area of web plate of beam structure G: Shear modulus of beam structure

A method for calculating a fulcrum reaction force of a beam structure supported by a fulcrum,
On the abdominal plate of the beam structure, a first direction that is a direction inclined at a predetermined angle with respect to a fulcrum reaction force direction, and a second direction that intersects the first direction, the first direction and the second direction The two first direction measurement points and the second direction measurement points are respectively arranged at a predetermined distance L around the intersection point of
Displacement U ₂ between the displacement U ₁ and the second direction measurement point between said first direction measuring points is measured,
The average shear strain γ _xy12 of the abdominal plate is calculated from the following Expression 13,
A method of calculating a fulcrum reaction force of a beam structure, wherein the fulcrum reaction force R is calculated from the following Expression 14.

A _W : Cross-sectional area of web plate of beam structure G: Shear modulus of beam structure A method for calculating a fulcrum reaction force of a beam structure supported by a fulcrum,
The first direction, which is a direction inclined at a predetermined angle with respect to the fulcrum reaction force direction, toward the axial center of the beam structure near the fulcrum reaction force direction of the abdominal plate of the beam structure, and the first direction In the intersecting second direction, two first direction measurement points and two second direction measurement points are arranged at a predetermined distance L around a point where the first direction intersects with the second direction,
A third direction, which is a direction inclined at a predetermined angle with respect to the fulcrum reaction force direction, and a fourth direction crossing the third direction, Arranging two third-direction measurement points and four-direction measurement points at a predetermined distance L around a point where three directions intersect with the fourth direction,
A displacement U ₁ between the first direction measurement points, a displacement U ₂ between the second direction measurement points, a displacement U ₃ between the third direction measurement points, and a displacement U ₄ between the second direction measurement points are measured. ,
The average shear strain γ _xy12 of the abdominal plate on the first direction measurement point and the second direction measurement point side is calculated from the following Expression 15,
The average shear strain γ _xy34 of the abdominal plate on the third direction measurement point and the fourth direction measurement point side is calculated from Expression 16 below,
First direction measurement point from equation 17 below the average shear force of the second direction measurement point side of the webs was calculated S _12,
From the following equation 18 to calculate a third direction measurement points the average shear force S ₃₄ of the fourth direction measurement point side of the web plate,
A method for calculating a fulcrum reaction force of a beam structure, wherein the fulcrum reaction force R is calculated from the following equation (19).

A _W : Cross-sectional area of web plate of beam structure G: Shear modulus of beam structure

A _W : Cross-sectional area of web plate of beam structure G: Shear modulus of beam structure

A fulcrum reaction force management system for a beam structure using the fulcrum reaction force calculation method for a beam structure according to any one of claims 1 to 5,
The measurement of the displacement U between the measurement points is performed by arranging a long-axis displacement sensor capable of measuring with time between the measurement points,
A fulcrum reaction force management system for beam structures. The fulcrum reaction force management system for a beam structure according to claim 6,
Monitoring over time by a monitoring device connected by wire or wirelessly to the displacement sensor,
Support point reaction force management system.

Images