CN113111455B - Three-hole box culvert group internal force analysis method suitable for long-distance water delivery engineering - Google Patents

Three-hole box culvert group internal force analysis method suitable for long-distance water delivery engineering Download PDF

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CN113111455B
CN113111455B CN202110369553.4A CN202110369553A CN113111455B CN 113111455 B CN113111455 B CN 113111455B CN 202110369553 A CN202110369553 A CN 202110369553A CN 113111455 B CN113111455 B CN 113111455B
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box culvert
bending moment
unit
calculation
rod
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CN113111455A (en
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尚钦
吕鹏
王敏
何勇
王罗斌
杨阳
胡昌顺
郑华康
邓建
潘文浩
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Changjiang Institute of Survey Planning Design and Research Co Ltd
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    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/10—Geometric CAD
    • G06F30/17—Mechanical parametric or variational design
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01L—MEASURING FORCE, STRESS, TORQUE, WORK, MECHANICAL POWER, MECHANICAL EFFICIENCY, OR FLUID PRESSURE
    • G01L5/00—Apparatus for, or methods of, measuring force, work, mechanical power, or torque, specially adapted for specific purposes
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F2111/00—Details relating to CAD techniques
    • G06F2111/10—Numerical modelling
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F2119/00—Details relating to the type or aim of the analysis or the optimisation
    • G06F2119/14—Force analysis or force optimisation, e.g. static or dynamic forces

Abstract

The invention discloses a three-hole box culvert group internal force analysis method suitable for long-distance water delivery engineering. The system comprises a monitoring system and an analysis system; the monitoring system comprises a pressure sensing unit, a data transmission unit and a data processing and analyzing unit, wherein the pressure sensing unit and the data transmission unit are respectively deployed on each box culvert site, and a box culvert group of the whole long-distance water delivery project shares one data processing and analyzing unit; the pressure sensing unit is connected with the data transmission unit through a wire, and the data transmission unit transmits the data of the pressure sensing unit to the data processing and analyzing unit through the internet or the local area network. The method can effectively monitor the external force and internal stress state borne by the box culvert group of the whole long-distance water delivery project in the operation stage of the box culvert project, quickly respond to the load change of the cross project in the long-distance water delivery project, conveniently judge the structural health state of the box culvert group in the operation period, and provide a foundation for safety risk early warning.

Description

Three-hole box culvert group internal force analysis method suitable for long-distance water delivery engineering
Technical Field
The invention belongs to the technical field of water delivery and supply engineering design, and particularly relates to a three-hole box culvert group internal force analysis method suitable for long-distance water delivery engineering.
Background
The long-distance water delivery project refers to a construction project for delivering raw water and clean water by pipelines with the water delivery distance exceeding 10 km. Along with the continuous development of urbanization in China, the water demand of cities increases year by year, and long-distance water delivery engineering is an effective measure for solving the problem of rapid increase of water consumption of the cities. The long-distance water delivery engineering approaches to obstacles such as rivers, valleys, hills, highways, railways and the like are often provided with box culverts, which belong to a tunnel body structure arrangement type of culverts and are generally of rectangular cross section cast-in-situ integral reinforced concrete structures. The box culvert is a water delivery building buried under filled soil, and is widely applied to the fields of water conservancy, railways, roads, bridges and the like due to the advantages of small construction scale, simple structural style and the like.
With the increase of the number of box culverts and investment in long-distance water delivery engineering, the structural design and operation management of box culvert groups become more important. In the design stage, the structural style of the box culvert is simple, but the workload is large because the number is large and the cross design with other projects is involved. The structural calculation of the box culvert body is an important part of engineering design work, and in consideration of the complexity of the structural calculation, particularly for a three-hole box culvert, a large amount of labor and time are consumed if the calculation is carried out in a manual mode; in the operation stage, the external force and the internal stress that the box culvert crowd of whole engineering bore are in "black box" state, are difficult to learn the health degree of box culvert crowd structural condition, are difficult to judge and early warning safety risk.
Disclosure of Invention
The invention provides a three-hole box culvert group internal force analysis method suitable for long-distance water delivery engineering, aiming at the defects of the three-hole box culvert group in the design and operation stages of the long-distance water delivery engineering. The invention aims to reduce the calculation workload in the design stage, improve the design efficiency, quickly respond to the load change of the cross engineering in the long-distance water delivery engineering, effectively master the structural stress of each three-hole box culvert in the operation stage and analyze and judge the safety state.
The technical scheme adopted by the invention is as follows: a three-hole box culvert group internal force analysis method suitable for long-distance water delivery engineering comprises a monitoring system and an analysis system;
the monitoring system comprises a pressure sensing unit, a data transmission unit and a data processing and analyzing unit, wherein the pressure sensing unit and the data transmission unit are respectively deployed on each box culvert site, and a box culvert group of the whole long-distance water delivery project shares one data processing and analyzing unit; the pressure sensing unit is connected with the data transmission unit through a wire, and the data transmission unit transmits the data of the pressure sensing unit to the data processing and analyzing unit through the Internet or the local area network;
the pressure sensing unit measures external force applied to the box culvert through soil pressure sensors distributed at the structural nodes of the box culvert; the number of the soil pressure sensors is 12, 4 soil pressure sensors are respectively distributed on the outer sides of the top plate and the bottom plate, and 2 soil pressure sensors are respectively distributed on the outer sides of the two side walls; the distribution positions of the top plate soil pressure sensors and the bottom plate soil pressure sensors are the nodes of the side walls and the top plate and the nodes of the middle walls and the top plate, and the distribution positions of the side wall soil pressure sensors are the nodes of the side walls and the top plate and the nodes of the side walls and the bottom plate; the soil pressure sensor is installed in a construction stage, and is always underground in an operation stage;
the data transmission unit collects data of the pressure sensing unit in a wired mode and sends the data to the data processing and analyzing unit through the Internet or a local area network, and the data transmission unit comprises an industrial personal computer and a power supply; the industrial personal computer is connected with the soil pressure sensor through a wire and transmits data; installing a data processing program in the industrial personal computer, and collecting and processing monitoring data of the soil pressure sensor; the industrial personal computer is provided with a specific number in a work area and is used for identifying a project position; the data sent by the industrial personal computer to the data processing and analyzing unit comprise industrial personal computer codes, sensor codes and sensor monitoring data; the power supply simultaneously supplies power to the industrial personal computer and the soil pressure sensor;
the data processing and analyzing unit comprises a server, a database, a three-hole box culvert internal force calculating program and a client, the server is provided with the database and the three-hole box culvert internal force calculating program and is located in the same internet or a local area network as the data transmission unit, and the three-hole box culvert internal force monitoring and analyzing result is displayed at the client;
the analysis system is embedded in the data processing and analysis unit;
the analysis system carries out the structural calculation of the three-hole box culvert according to the following steps:
(1) and load calculation: the horizontally distributed soil pressure acting on the side walls, the sum of the distributed loads of the side walls and the sum of the vertically uniformly distributed loads acting on the top plate act on the sum of the vertically uniformly distributed loads acting on the bottom surface of the bottom plate;
(2) calculating the fixed end bending moment of each rod piece;
(3) calculating the inertia moment of each rod piece;
(4) calculating the unit stiffness of each rod piece;
(5) calculating the distribution coefficient of the corner bending moment of the rod end of each rod piece;
(6) and repeatedly calculating the corner bending moment of the near end of each rod piece in a circulating manner: drawing a calculation chart of the corner bending moment at the near end of the node according to the form of the calculation sketch, and filling unbalanced bending moment values of the node in an inner frame of the node of the calculation chart
Figure BDA0003008761420000041
Filling the corner bending moment distribution coefficient of the corresponding rod end outside the node inner frame, marking the calculated rod near-end corner bending moment value at one side of the rod end of the node outer frame each time, repeatedly and circularly calculating the rod near-end corner bending moment according to the node sequence ABCDGFE, marking the calculated rod near-end corner bending moment value at one side of the corresponding rod end in the calculation process, repeatedly and circularly calculating, and marking the calculated near-end corner bending moment value at each time with the markThe calculated value of the next time is closer to the calculated value of the previous time, the calculated value of the last time is 7-8 times at most, and the calculated values of the last two times are basically equal;
(7) after the calculation of the near-end corner bending moment is finished, calculating a final bending moment value of each rod end according to the last calculated value of the near-end corner bending moment;
(8) and (3) compiling the processes from (1) to (7) into a three-hole box culvert internal force calculation program by using VB (visual basic) compilation language, wherein input parameters of the program are load parameters and unit rigidity of each rod piece of the box culvert, the load parameters can be read from a database and can also be manually input at a client side, the unit rigidity of each rod piece of the box culvert is manually input at a client side, and an output result of the program is rod end bending moment of each node.
The analysis system solves the box culvert node bending moment based on an iterative method, the calculation process is that according to the form of a calculation diagram, the rotation angle bending moment circulation of the rod end is gradually calculated at each node in sequence until the calculation values of the last two times are basically equal, and then the final rod end bending moment is calculated.
Specifically, the three-hole box culvert calculation process: before the cyclic calculation of the corner bending moment of the rod end, the fixed end bending moment of each rod end of each node and the algebraic sum (unbalanced bending moment) thereof and the distribution coefficient of the corner bending moment are firstly calculated,
the formula for calculating the bending moment of the fixed end of each rod piece is as follows:
Figure BDA0003008761420000051
Figure BDA0003008761420000052
Figure BDA0003008761420000053
Figure BDA0003008761420000054
Figure BDA0003008761420000055
Figure BDA0003008761420000056
Figure BDA0003008761420000057
Figure BDA0003008761420000058
Figure BDA0003008761420000059
Figure BDA00030087614200000510
Figure BDA00030087614200000511
Figure BDA00030087614200000512
wherein each node is the intersection of the axes of the members, L1The span of the top plate and the bottom plate of the side hole is m; l is2The unit is the span of the side wall; l is3The span of the middle hole top plate and the bottom plate is m; d4The thickness of the middle partition wall is m; q. q.s1The sum of loads is uniformly distributed on the bottom plate, and the unit kN/m is; q. q.s2The load sum of the top plate is uniformly distributed in kN/m; q. q.s3The total distributed load strength of the top of the side wall (corresponding to the ground of the top plate) is in kN/m; q. q.s4Is the bottom of a side wall (corresponding toThe top surface of the bottom plate) is distributed with the total load intensity in kN/m; the load symbol is positive in the pointing culvert; in the formula (I), the compound is shown in the specification,
Figure BDA0003008761420000061
the bending moment of the i-end fixed end of the rod ik is converted into positive clockwise in kN.m.
In the above steps, the formula for calculating the moment of inertia of each rod is as follows:
Figure BDA0003008761420000062
Figure BDA0003008761420000063
Figure BDA0003008761420000064
Figure BDA0003008761420000065
in the formula (d)1Is the thickness of the top plate, in m; d2Is the thickness of the bottom plate in m; d3Is the thickness of the side panel, unit m; d4The thickness of the septum wall is m.
In the above steps, the unit stiffness formula of each rod is calculated as follows:
Figure BDA0003008761420000066
Figure BDA0003008761420000067
Figure BDA0003008761420000068
Figure BDA0003008761420000069
Figure BDA00030087614200000610
Figure BDA0003008761420000071
in the above steps, the formula for calculating the corner bending moment distribution coefficient of each rod end is as follows:
Figure BDA0003008761420000072
Figure BDA0003008761420000073
Figure BDA0003008761420000074
Figure BDA0003008761420000075
Figure BDA0003008761420000076
Figure BDA0003008761420000077
Figure BDA0003008761420000078
Figure BDA0003008761420000079
Figure BDA00030087614200000710
in the above steps, the formula for calculating the bending moment of the rod end of each rod is as follows:
Figure BDA00030087614200000711
Figure BDA00030087614200000712
Figure BDA00030087614200000713
in the formula, MikThe final bending moment of the i end of the rod member ik is expressed in kN.m;
Figure BDA00030087614200000714
the bending moment of the i end fixed end of the rod member ik is in kN.m; m'ikThe bending moment is the bending moment of the corner at the near end of the rod piece and is expressed in kN.m; m'kiThe bending moment is the bending moment of the corner at the far end of the rod piece and has the unit kN.m;
Figure BDA0003008761420000081
is unbalanced bending moment of a node i, and has a unit of kN.m;
Figure BDA0003008761420000082
is the algebraic sum of all fixed end bending moments of the node i in kN.m.
The invention has the following beneficial effects: 1. in the long-distance water delivery engineering box culvert design stage, the invention reduces the calculation workload, improves the design efficiency, has simple operation and accurate calculation, has high calculation speed, can obtain the calculation result immediately as long as inputting basic data even if non-engineering technicians, is beneficial to the comparison of schemes with different sizes, is simple, flexible and has higher practicability; 2. at the box culvert engineering operation stage, can effectively monitor the external force and the internal stress state that bear of whole long distance water delivery engineering box culvert crowd, the load change of cross engineering among the quick response long distance water delivery engineering is convenient for judge the structure health state of box culvert crowd during the operation, provides the basis for the safety risk early warning.
Drawings
FIG. 1 is a schematic diagram of a three-hole box culvert calculation;
FIG. 2 is a structural diagram of a three-hole box culvert group internal force analysis method suitable for long-distance water delivery engineering;
FIG. 3 is a typical force diagram of a three-hole box culvert and the distribution positions of soil pressure sensors;
FIG. 4 is a three-hole box culvert group internal force analysis system software interface.
Detailed Description
The invention will be further described in detail with reference to the following drawings and specific examples, which are not intended to limit the invention, but are for clear understanding.
As shown in fig. 1 and 2, the present invention includes a monitoring system and an analysis system; the monitoring system comprises a pressure sensing unit, a data transmission unit and a data processing and analyzing unit, wherein the pressure sensing unit and the data transmission unit are respectively deployed on each box culvert site, and a box culvert group of the whole long-distance water delivery project shares one data processing and analyzing unit; the pressure sensing unit is connected with the data transmission unit through a wire, and the data transmission unit transmits the data of the pressure sensing unit to the data processing and analyzing unit through the Internet or the local area network;
the pressure sensing unit measures external force applied to the box culvert through soil pressure sensors distributed at the structural nodes of the box culvert; the number of the soil pressure sensors is 12, 4 soil pressure sensors are respectively distributed on the outer sides of the top plate and the bottom plate, and 2 soil pressure sensors are respectively distributed on the outer sides of the two side walls; the distribution positions of the top plate soil pressure sensors and the bottom plate soil pressure sensors are the nodes of the side walls and the top plate and the nodes of the middle walls and the top plate, and the distribution positions of the side wall soil pressure sensors are the nodes of the side walls and the top plate and the nodes of the side walls and the bottom plate; the soil pressure sensor is installed in a construction stage, and is always underground in an operation stage;
the data transmission unit collects data of the pressure sensing unit in a wired mode and sends the data to the data processing and analyzing unit through the Internet or a local area network, and the data transmission unit comprises an industrial personal computer and a power supply; the industrial personal computer is connected with the soil pressure sensor through a wire and transmits data; installing a data processing program in the industrial personal computer, and collecting and processing monitoring data of the soil pressure sensor; the industrial personal computer is provided with a specific number in a work area and is used for identifying a project position; the data sent by the industrial personal computer to the data processing and analyzing unit comprises industrial personal computer codes, sensor codes and sensor monitoring data; the power supply simultaneously supplies power to the industrial personal computer and the soil pressure sensor;
the data processing and analyzing unit comprises a server, a database, a three-hole box culvert internal force calculating program and a client, the server is provided with the database and the three-hole box culvert internal force calculating program and is located in the same internet or a local area network as the data transmission unit, and the three-hole box culvert internal force monitoring and analyzing result is displayed at the client;
the analysis system is embedded in the data processing and analysis unit;
the analysis system carries out the structural calculation of the three-hole box culvert according to the following steps:
(1) and load calculation: the horizontally distributed soil pressure acting on the side walls, the sum of the distributed loads of the side walls and the sum of the vertically uniformly distributed loads acting on the top plate act on the sum of the vertically uniformly distributed loads acting on the bottom surface of the bottom plate;
(2) calculating the fixed end bending moment of each rod piece;
(3) calculating the inertia moment of each rod piece;
(4) calculating the unit stiffness of each rod piece;
(5) calculating the distribution coefficient of the corner bending moment of the rod end of each rod piece;
(6) and repeatedly calculating the corner bending moment of the near end of each rod piece in a circulating manner: drawing a calculation chart of the corner bending moment at the near end of the node in the form of a calculation sketch mapThe unbalanced bending moment value of the filling node in the node inner frame
Figure BDA0003008761420000101
The calculation values of the next calculation value are closer to the calculation value of the previous calculation value, and are calculated for 7-8 times at most, and the calculation values of the last two times are basically equal;
(7) after the calculation of the near-end corner bending moment is finished, calculating a final bending moment value of each rod end according to the last calculated value of the near-end corner bending moment;
(8) and compiling the processes (1) to (7) into a three-hole box culvert internal force calculation program by using VB (visual basic) compilation language, wherein input parameters of the program are load parameters and unit rigidity of each rod piece of the box culvert, the load parameters can be read from a database or can be manually input at a client, the unit rigidity of each rod piece of the box culvert is manually input at a client, and an output result of the program is rod end bending moment of each node.
The analysis system solves the box culvert node bending moment based on an iterative method, the calculation process is that according to the form of a calculation diagram, the rotation angle bending moment circulation of the rod end is gradually calculated at each node in sequence until the calculation values of the last two times are basically equal, and then the final rod end bending moment is calculated.
Specifically, the three-hole box culvert calculation process: before the cyclic calculation of the corner bending moment of the rod end, the fixed end bending moment of each rod end of each node and the algebraic sum (unbalanced bending moment) thereof and the distribution coefficient of the corner bending moment are firstly calculated,
the formula for calculating the bending moment of the fixed end of each rod piece is as follows:
Figure BDA0003008761420000111
Figure BDA0003008761420000112
Figure BDA0003008761420000113
Figure BDA0003008761420000114
Figure BDA0003008761420000115
Figure BDA0003008761420000116
Figure BDA0003008761420000121
Figure BDA0003008761420000122
Figure BDA0003008761420000123
Figure BDA0003008761420000124
Figure BDA0003008761420000125
Figure BDA0003008761420000126
wherein each node is the intersection of the axes of the members, L1The span of the top plate and the bottom plate of the side hole is m; l is2The unit is the span of the side wall; l is3The span of the middle hole top plate and the bottom plate is m; d4The thickness of the middle partition wall is m; q. q.s1The sum of loads is uniformly distributed on the bottom plate, and the unit kN/m is; q. q.s2The load sum of the top plate is uniformly distributed in kN/m; q. q.s3The total distributed load strength of the top of the side wall (corresponding to the ground of the top plate) is in kN/m; q. q of4The total distributed load strength of the bottom of the side wall (corresponding to the top surface of the bottom plate) is expressed in kN/m; the load symbol is positive in the pointing culvert; in the formula (I), the compound is shown in the specification,
Figure BDA0003008761420000127
the bending moment of the i-end fixed end of the rod ik is converted into positive clockwise in kN.m.
In the above steps, the formula for calculating the moment of inertia of each rod is as follows:
Figure BDA0003008761420000128
Figure BDA0003008761420000129
Figure BDA00030087614200001210
Figure BDA00030087614200001211
in the formula (d)1Is the thickness of the top plate, in m; d2Is the thickness of the bottom plate, in m; d3Is the thickness of the side panel, unit m; d4The thickness of the septum wall is m.
In the above steps, the unit stiffness formula of each rod is calculated as follows:
Figure BDA0003008761420000131
Figure BDA0003008761420000132
Figure BDA0003008761420000133
Figure BDA0003008761420000134
Figure BDA0003008761420000135
Figure BDA0003008761420000136
in the above steps, the formula for calculating the corner bending moment distribution coefficient of each rod end is as follows:
Figure BDA0003008761420000137
Figure BDA0003008761420000138
Figure BDA0003008761420000139
Figure BDA00030087614200001310
Figure BDA00030087614200001311
Figure BDA00030087614200001312
Figure BDA0003008761420000141
Figure BDA0003008761420000142
Figure BDA0003008761420000143
in the above steps, the formula for calculating the bending moment of the rod end of each rod is as follows:
Figure BDA0003008761420000144
Figure BDA0003008761420000145
Figure BDA0003008761420000146
in the formula, MikThe final bending moment of the i end of the rod member ik is in kN.m;
Figure BDA0003008761420000147
the bending moment of the i end fixed end of the rod member ik is in kN.m; m'ikThe bending moment is the bending moment of the corner at the near end of the rod piece and is expressed in kN.m; m'kiThe bending moment is the bending moment of the corner at the far end of the rod piece and has the unit kN.m;
Figure BDA0003008761420000148
is unbalanced bending moment of a node i, and has a unit of kN.m;
Figure BDA0003008761420000149
is the algebraic sum of all fixed end bending moments of the node i in kN.m.
The first embodiment is as follows:
the length of a certain long-distance water delivery project is 35km, and the total number of the box culverts is 121, so that a box culvert group is formed. In the design stage, the three-hole box culvert internal force calculation program is simple in operation, accurate in calculation and high in calculation speed, and the calculation result can be obtained immediately as long as basic data are input into a computer, so that the calculation workload is reduced, and the design efficiency is improved by more than 120%.
The following describes the specific implementation steps in the design stage with reference to fig. 3 and 4 as follows:
(1) calculating the unit stiffness of each rod piece according to the actual three-hole box culvert, and inputting the unit stiffness into a unit stiffness parameter input area shown in the figure 4;
(2) calculating the fixed end bending moment according to the actual three-hole box culvert load condition, and inputting the calculation result of the fixed end bending moment into a data frame A in a result display area shown in the third step of figure 4;
(3) clicking an iteration button of the operation area II in the figure 4 to calculate;
(4) in the calculation process, the calculation results of the bending moment distribution coefficient and the near-end corner bending moment are respectively displayed in the positions of a data frame A and a data frame B in a result display area in the third figure 4;
(5) and clicking an output button of the operation area II in the diagram 4, displaying the final bending moment calculation result of each rod end in a data frame A in the result display area III, outputting the final bending moment value of each rod end to an external text document, copying the result, and performing subsequent reinforcement calculation and other work.
Example two:
the length of a certain long-distance water delivery project is 35km, and the total number of the box culverts is 121, so that a box culvert group is formed. In the operation stage, the method can effectively monitor the health state of the whole engineering box culvert group and provide basis for safety risk early warning. The following description of the specific implementation steps in the operational phase with reference to fig. 2 and 3 is as follows:
(1) when each three-hole box culvert is constructed, soil pressure sensors are embedded in the nodes of the side walls and the top plate, the middle walls and the top plate, the side walls and the low plate, and the middle walls and the bottom plate, wherein the concrete positions are as shown in figures 1 to 12 in figure 3;
(2) in the operation stage, the pressure sensing unit of each box culvert integrates and transmits data monitored by the sensor through the industrial personal computer of the data transmission unit and sends the data to the data processing and analyzing unit server through the internet or the local area network;
(3) the server receives the monitoring data of the box culvert group, identifies the project number, the soil pressure sensor number, the monitoring data of the soil pressure sensor and the time information, and stores the data in a database;
(4) and calculating the unit stiffness of each rod piece according to the actual size and material of the three-hole box culvert, inputting the unit stiffness into an internal force calculation program of the three-hole box culvert, reading database monitoring data and performing internal force calculation by the internal force calculation program of the three-hole box culvert, and displaying a calculation result on a client side, thereby realizing effective monitoring of the health state of the box culvert group of the whole long-distance water delivery engineering.
Those not described in detail in this specification are within the skill of the art.

Claims (6)

1. A three-hole box culvert group internal force analysis method suitable for long-distance water delivery engineering is characterized by comprising the following steps: comprises a monitoring system and an analysis system;
the monitoring system comprises a pressure sensing unit, a data transmission unit and a data processing and analyzing unit; a pressure sensing unit and a data transmission unit are respectively deployed on each box culvert site, and box culvert groups of the whole long-distance water delivery project share one data processing and analyzing unit; the pressure sensing unit is connected with the data transmission unit through a wire, and the data transmission unit transmits the data of the pressure sensing unit to the data processing and analyzing unit through the Internet or the local area network;
the pressure sensing unit measures the external force applied to the box culvert through soil pressure sensors distributed at the structural nodes of the box culvert; the number of the soil pressure sensors is 12, 4 soil pressure sensors are respectively distributed on the outer sides of the top plate and the bottom plate, and 2 soil pressure sensors are respectively distributed on the outer sides of the two side walls; the distribution positions of the top plate soil pressure sensors and the bottom plate soil pressure sensors are the nodes of the side walls and the top plate and the nodes of the middle walls and the top plate, and the distribution positions of the side wall soil pressure sensors are the nodes of the side walls and the top plate and the nodes of the side walls and the bottom plate; the soil pressure sensor is installed in a construction stage, and is always underground in an operation stage;
the data transmission unit collects data of the pressure sensing unit in a wired mode and sends the data to the data processing and analyzing unit through the Internet or a local area network, and the data transmission unit comprises an industrial personal computer and a power supply; the industrial personal computer is connected with the soil pressure sensor through a wire and transmits data; installing a data processing program in the industrial personal computer, and collecting and processing monitoring data of the soil pressure sensor; the industrial personal computer is provided with a specific number in a work area and is used for identifying a project position; the data sent by the industrial personal computer to the data processing and analyzing unit comprises industrial personal computer codes, sensor codes and sensor monitoring data; the power supply simultaneously supplies power to the industrial personal computer and the soil pressure sensor;
the data processing and analyzing unit comprises a server, a database, a three-hole box culvert internal force calculating program and a client, the server is provided with the database and the three-hole box culvert internal force calculating program and is located in the same internet or a local area network as the data transmission unit, and the three-hole box culvert internal force monitoring and analyzing result is displayed at the client;
the analysis system is embedded in the data processing and analysis unit;
the analysis system carries out the structural calculation of the three-hole box culvert according to the following steps:
(1) and load calculation: the horizontally distributed soil pressure acting on the side walls, the sum of the distributed loads of the side walls and the sum of the vertically uniformly distributed loads acting on the top plate act on the sum of the vertically uniformly distributed loads acting on the bottom surface of the bottom plate;
(2) calculating the fixed end bending moment of each rod piece;
(3) calculating the inertia moment of each rod piece;
(4) calculating the unit stiffness of each rod piece;
(5) calculating the distribution coefficient of the corner bending moment of the rod end of each rod piece;
(6) and repeatedly calculating the corner bending moment of the near end of each rod piece in a circulating manner: drawing a calculation chart of the corner bending moment at the near end of the node according to the form of the calculation sketch, and filling unbalanced bending moment values of the node in an inner frame of the node of the calculation chart
Figure FDA0003008761410000021
The calculation values of the next calculation value are closer to the calculation value of the previous calculation value, and are calculated for 7-8 times at most, and the calculation values of the last two times are basically equal;
(7) after the calculation of the near-end corner bending moment is finished, calculating a final bending moment value of each rod end according to the last calculated value of the near-end corner bending moment;
(8) and compiling the processes (1) to (7) into a three-hole box culvert internal force calculation program by using VB (visual basic) compilation language, wherein input parameters of the program are load parameters and unit rigidity of each rod piece of the box culvert, the load parameters can be read from a database or can be manually input at a client, the unit rigidity of each rod piece of the box culvert is manually input at a client, and an output result of the program is rod end bending moment of each node.
2. The method for analyzing the internal force of the triple-aperture box culvert group suitable for the long-distance water transmission project according to claim 1, wherein the method comprises the following steps: specifically, the three-hole box culvert calculation process: before the cyclic calculation of the corner bending moment of the rod end, the fixed end bending moment of each rod end of each node, the algebraic sum of the fixed end bending moments and the distribution coefficient of the corner bending moment are firstly calculated,
the formula for calculating the bending moment of the fixed end of each rod piece is as follows:
Figure FDA0003008761410000031
Figure FDA0003008761410000032
Figure FDA0003008761410000033
Figure FDA0003008761410000034
Figure FDA0003008761410000035
Figure FDA0003008761410000036
Figure FDA0003008761410000041
Figure FDA0003008761410000042
Figure FDA0003008761410000043
Figure FDA0003008761410000044
Figure FDA0003008761410000045
Figure FDA0003008761410000046
wherein each node is the intersection of the axes of the members, L1The span of the top plate and the bottom plate of the side hole is m; l is2The unit is the span of the side wall; l is3The span of the middle hole top plate and the bottom plate is m; d4The thickness of the middle partition wall is m; q. q.s1The sum of loads is uniformly distributed on the bottom plate, and the unit kN/m is; q. q.s2The sum of loads uniformly distributed on the top plate is expressed in kN/m; q. q.s3The sum of the load intensity distributed on the top of the side wall is in kN/m; q. q of4The sum of the load intensity distributed at the bottom of the side wall is in kN/m; the load symbol is positive in the direction culvert; in the formula (I), the compound is shown in the specification,
Figure FDA0003008761410000047
the bending moment of the i-end fixed end of the rod ik is converted into positive clockwise in kN.m.
3. The method for analyzing the internal force of the triple-aperture box culvert group suitable for the long-distance water transmission project according to claim 2, wherein the method comprises the following steps:
the formula for calculating the moment of inertia of each rod piece is as follows:
Figure FDA0003008761410000048
Figure FDA0003008761410000049
Figure FDA00030087614100000410
Figure FDA0003008761410000051
in the formula (d)1Is the top plate thickness, in m; d2Is the thickness of the bottom plate in m; d3Is the thickness of the side panel, unit m; d4The thickness of the septum wall is m.
4. The method for analyzing the internal force of the triple-aperture box culvert group suitable for the long-distance water transmission project according to claim 3, wherein the method comprises the following steps:
the unit stiffness formula of each rod is calculated as follows:
Figure FDA0003008761410000052
Figure FDA0003008761410000053
Figure FDA0003008761410000054
Figure FDA0003008761410000055
Figure FDA0003008761410000056
Figure FDA0003008761410000057
。
5. the method for analyzing the internal force of the triple-aperture box culvert group suitable for the long-distance water transmission project according to claim 4, wherein the method comprises the following steps:
the formula for calculating the corner bending moment distribution coefficient of each rod end is as follows:
Figure FDA0003008761410000058
Figure FDA0003008761410000059
Figure FDA0003008761410000061
Figure FDA0003008761410000062
Figure FDA0003008761410000063
Figure FDA0003008761410000064
Figure FDA0003008761410000065
Figure FDA0003008761410000066
Figure FDA0003008761410000067
。
6. the method for analyzing the internal force of the triple-aperture box culvert group suitable for the long-distance water transmission project according to claim 5, wherein the method comprises the following steps:
the formula for calculating the bending moment of the rod end of each rod is as follows:
Figure FDA0003008761410000068
Figure FDA0003008761410000069
Figure FDA00030087614100000610
in the formula, MikThe final bending moment of the i end of the rod member ik is in kN.m;
Figure FDA00030087614100000611
the bending moment of the i end fixed end of the rod member ik is in kN.m; mi'kThe bending moment is the bending moment of the corner at the near end of the rod piece and is expressed in kN.m; m'kiThe bending moment is the bending moment of the corner at the far end of the rod piece and has the unit kN.m;
Figure FDA00030087614100000612
is unbalanced bending moment of a node i, and has a unit of kN.m;
Figure FDA00030087614100000613
is the algebraic sum of all fixed end bending moments of the node i in kN.m.
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