CN114622525B - Assembled inverted arch bottom plate sluice and design method thereof - Google Patents
Assembled inverted arch bottom plate sluice and design method thereof Download PDFInfo
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- CN114622525B CN114622525B CN202210401846.0A CN202210401846A CN114622525B CN 114622525 B CN114622525 B CN 114622525B CN 202210401846 A CN202210401846 A CN 202210401846A CN 114622525 B CN114622525 B CN 114622525B
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- 230000035882 stress Effects 0.000 claims description 17
- 238000005452 bending Methods 0.000 claims description 16
- 238000004364 calculation method Methods 0.000 claims description 16
- 238000006073 displacement reaction Methods 0.000 claims description 15
- 230000002787 reinforcement Effects 0.000 claims description 10
- 239000000463 material Substances 0.000 claims description 8
- XLYOFNOQVPJJNP-UHFFFAOYSA-N water Substances O XLYOFNOQVPJJNP-UHFFFAOYSA-N 0.000 claims description 6
- 230000009429 distress Effects 0.000 claims description 4
- 238000005259 measurement Methods 0.000 claims description 3
- 230000003204 osmotic effect Effects 0.000 claims description 3
- 238000010008 shearing Methods 0.000 claims description 3
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- 230000000903 blocking effect Effects 0.000 claims description 2
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- 238000010276 construction Methods 0.000 abstract description 17
- 230000009286 beneficial effect Effects 0.000 abstract 1
- 229910001294 Reinforcing steel Inorganic materials 0.000 description 5
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- E—FIXED CONSTRUCTIONS
- E02—HYDRAULIC ENGINEERING; FOUNDATIONS; SOIL SHIFTING
- E02B—HYDRAULIC ENGINEERING
- E02B7/00—Barrages or weirs; Layout, construction, methods of, or devices for, making same
- E02B7/20—Movable barrages; Lock or dry-dock gates
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- E—FIXED CONSTRUCTIONS
- E02—HYDRAULIC ENGINEERING; FOUNDATIONS; SOIL SHIFTING
- E02D—FOUNDATIONS; EXCAVATIONS; EMBANKMENTS; UNDERGROUND OR UNDERWATER STRUCTURES
- E02D15/00—Handling building or like materials for hydraulic engineering or foundations
- E02D15/02—Handling of bulk concrete specially for foundation or hydraulic engineering purposes
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Abstract
The invention provides an assembled inverted arch bottom plate sluice, which comprises a first sluice pier, a second sluice pier and a bottom plate, wherein one end of the bottom plate is connected with the bottom of the first sluice pier, the other end of the bottom plate is connected with the bottom of the second sluice pier, the bottom plate is arched, and the heights of the two ends of the bottom plate are larger than the height of the middle position of the bottom plate; the two ends of the bottom plate are connected through the top plate. The assembled inverted arch bottom plate sluice provided by the invention can ensure the construction quality more easily, thereby reducing the construction difficulty, being beneficial to simplifying the inverted arch structure and reducing the design difficulty.
Description
Technical Field
The invention relates to the technical field of hydraulic engineering, in particular to an assembled inverted arch bottom plate sluice and a design method thereof.
Background
A sluice is a common hydraulic building, and most sluice is a flat-bottom plate structure, and sluice with an inverted arch bottom plate structure is relatively few. The inverted arch bottom plate is an inverted arch structure which is inverted on the foundation, the whole structure is in a pressed state, and the advantage of strong pressure resistance of the concrete material can be fully exerted. Compared with the flat bottom plate, the thickness of the inverted arch bottom plate can be designed to be thinner, and steel bars can be used less or even not used, so that the investment is greatly saved. However, the construction difficulty of the inverted arch bottom plate is high, the construction quality is difficult to guarantee, the stress of the inverted arch structure is complex, and the design difficulty is also high, so that the development of the inverted arch sluice is limited.
Disclosure of Invention
The present invention is directed to an assembled inverted arch floor floodgate and a design method thereof, which solve at least one of the above-mentioned problems.
The technical scheme of the application is as follows: the assembled inverted arch bottom plate sluice comprises a first sluice pier, a second sluice pier and a bottom plate, wherein one end of the bottom plate is connected with the bottom of the first sluice pier, the other end of the bottom plate is connected with the bottom of the second sluice pier, the bottom plate is arched, and the heights of the two ends of the bottom plate are larger than the height of the middle position of the bottom plate; the two ends of the bottom plate are connected through the top plate.
Preferably, a plugging body is arranged between the bottom plate and the top plate.
Preferably, the top plate and the bottom plate are integrally arranged, and both sides of the bottom plate are provided with plugging bodies.
Preferably, the bottom plate is connected with the first gate pier through a concrete connecting belt; the bottom plate is connected with the second gate pier through a concrete connecting belt.
Preferably, the top surface of the first gate pier and the top surface of the second gate pier are both fixed with bent frames, and the two bent frames are connected through a working bridge; one side of the bent frame is provided with an overhaul temporary bridge, one end of the overhaul temporary bridge is connected with the first gate pier, and the other end of the overhaul temporary bridge is connected with the second gate pier; the other side of the bent is provided with a traffic bridge, one end of the traffic bridge is connected with the first gate pier, and the other end of the traffic bridge is connected with the second gate pier.
Preferably, the bent frame is fixedly connected with the first gate pier through a reinforcing steel bar sleeve; the bent frame is fixedly connected with the second gate pier through a steel bar sleeve; the working bridge is fixedly connected with the bent frame through bolts; the traffic bridge is fixedly connected with the first gate pier through bolts; the traffic bridge is fixedly connected with the second gate pier through bolts; the overhaul temporary bridge is fixedly connected with the first gate pier through bolts; the overhaul temporary bridge is fixedly connected with the second gate pier through bolts.
According to the assembled inverted arch bottom plate sluice provided by the invention, the top surface of the bottom plate can be kept horizontal by arranging the top plate, so that the defect of poor flow state of water caused by uneven top surface of the conventional inverted arch bottom plate is overcome; meanwhile, the top plate can play a role of a pull rod, so that the tendency of the arch feet at two ends of the bottom plate to move towards two ends is limited, and the stability of the bottom plate is enhanced; in addition, the bottom plate generates horizontal force on arch feet at two ends after being stressed, and the top plate bears the horizontal force, so that the bottom plate forms an independent body; therefore, the assembled inverted arch bottom plate sluice is easier to ensure the construction quality, so that the construction difficulty is reduced, the inverted arch structure is simplified, and the design difficulty is reduced.
The other technical scheme of the application is as follows: the design method of the assembled anti-arch bottom plate sluice comprises the following steps of: the base plate design step includes:
Step1, primary floor geometry:
(1) Calculating span L of the arch axis to obtain gate width B;
(2) The initial value of the sagittal ratio D is 1/X, wherein the sagittal ratio D is the ratio of the calculated sagittal height f of the arch axis to the calculated span L of the arch axis;
(3) The initial value of the thickness d of the bottom plate is L/Y;
(4) According to the geometric relation of the structure, the arch axis corresponds to half of the central angle phi=arcsin (4D/(4D≡2+1)), and the radius R=L/(2 sin phi) of the arch axis;
Step2, calculate the internal force of the base plate
(1) Calculation of internal force of bottom plate under action of external load
Firstly, calculating the q value of the uniform load of the bottom plate under the combined action of dead weight, water weight, floating force, osmotic pressure and foundation counterforce load, and checking a practical building structure static force calculation manual according to a primary sagittal ratio D to obtain the internal force results of arch feet and vaults under the action of the uniform load q, wherein the internal force results comprise bending moment, axial force and shearing force;
(2) Bottom plate internal force calculation under arch foot vertical displacement effect
Selecting a vertical displacement value DeltaV according to the actual measurement result of similar engineering;
Then according to the theory of material mechanics, the following steps are obtained:
the elastic center or vault under the action of vertical displacement of the foot:
Bending moment m0=0
Axial force n0=0
Shear force
Wherein E is the elastic modulus of the concrete, I is the section moment of inertia, R is the radius of the arch axis,Corresponding to half of the central angle of the arch axis;
Arch foot under the action of vertical displacement:
Bending moment
Axial force
Shear force
Step3, floor strength determination
Firstly, summarizing and superposing the internal force results under two actions obtained in Step 2:
Then using sigma-delta sigma N/(b h). + -. Sigma M/W to obtain the maximum and minimum stresses of the cross section;
wherein sigma is the section stress, sigma N is the total axial force after superposition, sigma M is the total bending moment value after superposition, b and h are the width and the height of the calculated section, and W is the section resisting moment;
Comparing the maximum and minimum stresses of the cross section with the designed strength value of the adopted concrete, and if the judging condition is satisfied: the maximum positive stress is smaller than or equal to the compressive strength of the concrete, the minimum negative stress is larger than or equal to the tensile strength of the concrete, step4 is executed, if the judging condition is not met, step1 is returned to again sketch the sagittal ratio D and the thickness D of the bottom plate until the judging condition is met;
Step4, reinforcement calculation
And (3) according to the total axial force sigma N and the total bending moment value sigma M of the arch springing position, carrying out reinforcement calculation according to the eccentric pressed component to obtain the required reinforcement area.
Preferably, in Step1, X is between 7 and 14, and Y is between 9 and 15.
Preferably, X is 10 and Y is 12.
The method for designing the assembled inverted arch bottom plate sluice has the following advantages:
1. Compared with the conventional flat bottom plate sluice, the inverted arch bottom plate sluice can greatly save the consumption of concrete and reinforcing steel bars;
2. the water gate of the inverted arch bottom plate is of a prefabricated assembly structure, so that most of components can be manufactured in a factory, and the water gate can be simply assembled on a construction site, thereby simplifying the construction flow of the inverted arch bottom plate and accelerating the construction progress;
3. the structure of the inverted arch bottom plate sluice is optimized, and various factors influencing the analysis of the internal force of the bottom plate are avoided, so that the design method is simplified, and the design personnel can grasp the sluice conveniently.
Drawings
FIG. 1 is an overall three-dimensional view of an assembled inverted arch floor floodgate;
FIG. 2 is an overall elevation view of an assembled inverted arch floor floodgate;
FIG. 3 is a front view of a base plate of the present invention;
FIG. 4 is a longitudinal cross-sectional view of the floor of the present invention;
FIG. 5 is a schematic view of a floor reinforcement of the present invention;
FIG. 6 is a schematic diagram of reinforcement at the reserved gap position of the gate pier;
FIG. 7 is a schematic view of the reinforcement of the connection location of the bottom plate and the gate pier of the present invention;
FIG. 8 is a schematic diagram of a combination fixing mode between main components;
FIG. 9 is a large sample of a bolt fastening manner;
FIG. 10 is a large sample of the manner in which the sleeve is secured;
FIG. 11 is a schematic diagram of the principal structural parameters of the base plate;
In the figure: the hydraulic bridge comprises a bottom plate 1, a first gate pier 2-1, a second gate pier 2-2, a concrete connecting belt 3, an overhaul temporary bridge 4, a traffic bridge 5, a bent frame 6, a working bridge 7, bolts 11, a top plate 12, a blocking body 13, reinforcing steel bars 14, stress bars 15, nuts 16, exhaust holes 17, grouting holes 18, grouting materials 19, triangular notches 21, vertical reinforcing steel bars 22 and L-shaped steel bars 23.
Detailed Description
The invention is further described below with reference to the drawings and examples.
The invention provides an assembled inverted arch bottom plate sluice, which is shown in fig. 1 and 2, and comprises a first sluice pier 2-1, a second sluice pier 2-2 and a bottom plate 1, wherein one end of the bottom plate is connected with the bottom of the first sluice pier, the other end of the bottom plate is connected with the bottom of the second sluice pier, the bottom plate is arched, and the heights of two ends of the bottom plate are larger than the height of the middle position of the bottom plate, so that an inverted arch bottom plate is formed; the two ends of the bottom plate are connected through the top plate 12, and the top plate and the bottom plate are preferably integrally arranged, so that only an integral structure formed by the top plate and the bottom plate is required to be assembled with other parts during construction, and the construction difficulty of the inverted arch bottom plate sluice is reduced.
According to the assembled inverted arch bottom plate sluice, the top surface of the bottom plate can be kept horizontal by arranging the top plate, so that the defect of poor flow state caused by uneven top surface of the conventional inverted arch bottom plate is overcome; meanwhile, the top plate can play a role of a pull rod, so that the tendency of the arch feet at two ends of the bottom plate to move towards two ends is limited, and the stability of the bottom plate is enhanced; in addition, the bottom plate generates horizontal force on arch feet at two ends after being stressed, and the top plate bears the horizontal force, so that the bottom plate forms an independent body; therefore, the assembled inverted arch bottom plate sluice is easier to ensure the construction quality, so that the construction difficulty is reduced, the inverted arch structure is simplified, and the design difficulty is reduced.
As a preferred embodiment, referring to fig. 3 and 4, a plugging body 13 is disposed between the bottom plate and the top plate, and the plugging body may be filled with an existing material such as cement, and is generally disposed on both sides of the bottom plate. Through setting up the shutoff body, can prevent that rivers from spilling between bottom plate and the roof, can assist the roof atress simultaneously, reinforcing overall stability. As an embodiment, the bottom plate is connected with the first gate pier through a concrete connecting belt 3; the bottom plate and the second gate pier are connected through a concrete connecting belt 3, in this embodiment, the concrete connecting belt may also be referred to as a concrete cast-in-situ belt, and when the bottom plate is in engineering operation, the bottom plate will generally only generate tensile stress at the arch foot, so that the steel bars 14 need to be configured only within a certain length (1/4 to 1/8 of the arc length of the arch foot), referring to fig. 5, the steel bars 14 at the arch foot reserve a region with a certain length (not less than 35 times of the steel bar diameter) extending to the post-cast concrete connecting belt 3; when actually manufacturing a first gate pier and a second gate pier (hereinafter collectively referred to as gate piers), referring to fig. 6 and 7, a notch 21 with a triangular section is reserved at the position of a post-cast concrete connecting belt 3, vertical steel bars 22 of the gate piers at the notch position are not broken, L-shaped steel bars 23 are embedded at the notch position, two ends of the L-shaped steel bars are embedded in the gate piers, and an area surrounded by the notch 21 and the L-shaped steel bars 23 is the area of the post-cast concrete connecting belt 3. During construction and assembly, the steel bars 14 extending outwards from the bottom plate are bound or welded with the L-shaped steel bars 23 pre-buried in the gate pier, and then the concrete connecting belt 3 is poured. The concrete connecting band 3 is poured after other components are assembled, and the final step of the assembly engineering is performed. Referring to fig. 5, when the top plate is manufactured, the stress bars 15 of the top plate 12 perpendicular to the water flow direction should be bent into the bottom plate, and the bending length is not less than 35 times of the diameter of the bars.
In one embodiment, referring to fig. 1 and 2, the top surface of the first gate pier and the top surface of the second gate pier are both fixed with bent frames 6, and the two bent frames are connected through a working bridge 7; one side of the bent frame is provided with an overhaul temporary bridge 4, one end of the overhaul temporary bridge is connected with the first gate pier, and the other end of the overhaul temporary bridge is connected with the second gate pier; the other side of the bent frame is provided with a traffic bridge 5, one end of the traffic bridge is connected with the first gate pier, the other end of the traffic bridge is connected with the second gate pier, and the overhaul temporary bridge and the traffic bridge form a gate pier transverse support, so that the occurrence of arch springing corners is limited. In this embodiment, the bent is fixedly connected to the first gate pier through a reinforcing sleeve; the bent frame is fixedly connected with the second gate pier through a steel bar sleeve, referring to fig. 8 and 9, when the gate pier is manufactured, steel bars with a certain length can be pre-buried, the sleeve is pre-buried, the upper part of the sleeve is provided with an exhaust hole 17 which extends out of the bent frame, the lower part of the sleeve is provided with a grouting hole 18 which extends out of the bent frame, the steel bars arranged on the gate pier extend out of the gate pier and extend into the sleeve, the steel bars are pre-buried on the working bridge as well, and extend downwards into the sleeve, and finally, the sleeve is filled with grouting material 19 through the grouting hole to connect the working bridge, the bent frame and the gate pier, wherein the grouting material is required to be high-strength micro-expansibility, and cement can also be used;
The working bridge is fixedly connected with the bent frame through bolts; the traffic bridge is fixedly connected with the first gate pier through bolts; the traffic bridge is fixedly connected with the second gate pier through bolts; the overhaul temporary bridge is fixedly connected with the first gate pier through bolts; the maintenance temporary bridge is fixedly connected with the second gate pier through bolts, fig. 8 and 10 are shown in the drawings during the braking, when the gate pier is manufactured, the lower part of the bolt 11 is pre-buried in the gate pier and welded with the steel bars in the structure, the upper part of the bolt is exposed out of the top surface of the gate pier, the bolt holes are reserved at the connecting parts of the working temporary bridge, the connecting temporary bridge and the like, and the upper part of the bolt passes through the bolt holes during the installation and then is fixed by the nuts 16
In general, the factors with larger influence on the internal force of the inverted arch bottom plate are more, specifically: arch leg corner, arch leg horizontal displacement, arch leg vertical displacement, temperature and external load. The assembled inverted arch bottom plate sluice gate, the overhaul temporary bridge and the traffic bridge form a transverse support of the gate pier, and the occurrence of arch springing corners is limited, so that the arch springing corners can be not considered. The bottom plate and the top plate are integrally designed, so that the inverted arch bottom plate is of an independent stable structure, the arch springing does not generate horizontal thrust to the gate pier, and the arch springing does not horizontally displace, so that the horizontal displacement of the arch springing can be avoided. In addition, the bottom plate is of a prefabricated structure, the influence of temperature can be eliminated in the manufacturing process, the inverted arch bottom plate is positioned in a deep water area in the engineering operation period, and the temperature is relatively stable, so that the influence of the temperature on the internal force of the bottom plate can be avoided. In summary, factors that have a greater impact on the forces in the inverted arch floor of the present invention are mainly the vertical displacement of the arch springing and the foundation reaction force. It can be seen that the assembled inverted arch bottom plate sluice in the invention greatly reduces factors influencing the internal force of the inverted arch bottom plate through structural optimization, thereby simplifying the design method.
In embodiment 2, the invention provides a method for designing an assembled inverted arch bottom plate sluice, wherein the method for designing structures such as a sluice pier, an overhaul temporary bridge, a traffic bridge, a bent frame, a working bridge and the like can be designed according to a conventional sluice design method, and mainly comprises the steps of: wherein the floor design step comprises:
Step1, primary floor geometry:
(1) Calculating the span L of the arch axis to obtain the width B of the gate hole, namely L=B;
(2) The sagittal ratio D (the ratio of the arch axis calculation sagittal height f to the arch axis calculation span L) is preliminarily valued at 1/10;
(3) The thickness d of the inverted arch bottom plate is preliminarily taken as L/12;
(4) According to the geometrical relationship of the structure, the arch axis corresponds to half of the central angle phi=arcsin (4D/(4d2+1)), and the radius r=l/(2 sin phi) of the arch axis, and the above parameters can be seen in fig. 11;
step2, calculating the internal force of the inverted arch bottom plate
(1) Calculation of internal force of inverted arch bottom plate under action of external load
Firstly, calculating the uniform load q value of the inverted arch bottom plate under the combined action of the load such as dead weight, water weight, floating force, osmotic pressure, foundation counterforce and the like, and checking a practical building structure static force calculation manual according to a primary sagittal ratio D to obtain the internal force results of arch feet and arch tops under the action of the uniform load q, wherein the internal force results comprise bending moment, axial force and shearing force;
(2) Calculation of internal force of inverted arch bottom plate under action of vertical displacement of arch springing
According to the actual measurement result of similar engineering, a vertical displacement value DeltaV is selected and then designed.
According to the theory of material mechanics, under the action of vertical displacement of the foot, the elastic center or the arch crown is:
Bending moment m0=0
Axial force n0=0
Shear force
Wherein E is the elastic modulus of the concrete, I is the section moment of inertia, R is the radius of the arch axis,Corresponding to half of the central angle of the arch axis;
Arch foot:
Bending moment
Axial force
Shear force
Step3, determination of inverted arch floor strength
Firstly, summarizing and superposing the internal force results under the two actions obtained in Step 2.
Obtaining maximum and minimum stresses of the cross section by using sigma-delta sigma N/(b x h). + -. Sigma M/W;
wherein sigma is the section stress, sigma N is the total axial force after superposition, sigma M is the total bending moment value after superposition, b and h are the width and the height of the calculated section, and W is the section resisting moment.
And obtaining maximum and minimum stresses of the cross section, comparing the maximum and minimum stresses with the designed strength value of the adopted concrete, wherein the maximum positive stress is not greater than the compressive strength of the concrete, the minimum negative stress is not less than the tensile strength of the concrete, and the negative stress is avoided as much as possible. If the judgment condition is not met, returning to Step1 to re-plan the sagittal ratio D and the thickness D of the inverted arch bottom plate until the condition is met.
Step4, reinforcing bar calculation is carried out according to the total axial force sigma N and the total bending moment value sigma M of the arch springing position and the eccentric pressed component, so that the required reinforcing bar area is obtained.
The design method of the assembled anti-arch bottom plate sluice in the embodiment has the following advantages:
4. Compared with the conventional flat bottom plate sluice, the sluice with the inverted arch bottom plate can greatly save the consumption of concrete and reinforcing steel bars;
5. The water gate of the inverted arch bottom plate is of a prefabricated assembly structure, so that most of components can be manufactured in a factory, and the water gate can be simply assembled on a construction site, thereby simplifying the construction flow of the inverted arch bottom plate and accelerating the construction progress;
6. the structure of the inverted arch bottom plate sluice is optimized, and various factors influencing the analysis of the internal force of the bottom plate are avoided, so that the design method is simplified, and the design personnel can grasp the sluice conveniently.
In the Step1, the initial value of the sagittal ratio D is only the optimal value, which may be 1/14-1/7; also, the preliminary value of the thickness d of the arch-back floor can be 1/15-1/9.
The foregoing description of the preferred embodiments of the present invention is provided for the purpose of illustration only, and the terms first, second, etc. are used for distinguishing the names, not for limiting the technical terms, and various modifications and variations of the present invention will be apparent to those skilled in the art. Any modification, equivalent replacement, improvement, etc. made within the spirit and principle of the present invention should be included in the protection scope of the present invention.
Claims (8)
1. The assembled inverted arch bottom plate sluice comprises a first sluice pier (2-1), a second sluice pier (2-2) and a bottom plate (1), wherein one end of the bottom plate is connected with the bottom of the first sluice pier, and the other end of the bottom plate is connected with the bottom of the second sluice pier;
the two ends of the bottom plate are connected through a top plate (12);
A plugging body (13) is arranged between the bottom plate and the top plate.
2. The assembled inverted arch floor floodgate and the design method thereof according to claim 1, wherein the top plate and the bottom plate are integrally provided, and both sides of the bottom plate are provided with blocking bodies.
3. A fabricated anti-arch floor floodgate according to claim 2, wherein the floor is connected to the first piers by means of concrete ties;
The bottom plate is connected with the second gate pier through a concrete connecting belt (3).
4. A fabricated inverted arch floor floodgate according to any of claims 1 to 3, characterized in that the top surface of said first pier and the top surface of said second pier are each fixed with a bent (6), both said bent being connected by a working bridge (7);
An overhaul temporary bridge (4) is arranged on one side of the bent frame, one end of the overhaul temporary bridge is connected with the first gate pier, and the other end of the overhaul temporary bridge is connected with the second gate pier;
The other side of the bent is provided with a traffic bridge (5), one end of the traffic bridge is connected with the first gate pier, and the other end of the traffic bridge is connected with the second gate pier.
5. The assembled anti-arch floor floodgate according to claim 4, wherein the bent frame is fixedly connected to the first pier by a reinforcement sleeve;
The bent frame is fixedly connected with the second gate pier through a steel bar sleeve;
The working bridge is fixedly connected with the bent frame through bolts;
the traffic bridge is fixedly connected with the first gate pier through bolts;
The traffic bridge is fixedly connected with the second gate pier through bolts;
the overhaul temporary bridge is fixedly connected with the first gate pier through bolts;
the overhaul temporary bridge is fixedly connected with the second gate pier through bolts.
6. A method of designing an assembled inverted arch floor floodgate according to any of claims 1 to 5, comprising the step of:
the method is characterized by comprising the following steps of:
Step1, primary floor geometry:
(1) Calculating span L of the arch axis to obtain gate width B;
(2) The initial value of the sagittal ratio D is 1/X, wherein the sagittal ratio D is the ratio of the calculated sagittal height f of the arch axis to the calculated span L of the arch axis;
(3) The initial value of the thickness d of the bottom plate is L/Y;
(4) According to the geometric relation of the structure, the arch axis corresponds to half of the central angle phi=arcsin (4D/(4D≡2+1)), and the radius R=L/(2 sin phi) of the arch axis;
Step2, calculate the internal force of the base plate
(1) Calculation of internal force of bottom plate under action of external load
Firstly, calculating the q value of the uniform load of the bottom plate under the combined action of dead weight, water weight, floating force, osmotic pressure and foundation counterforce load, and checking a practical building structure static force calculation manual according to a primary sagittal ratio D to obtain the internal force results of arch feet and vaults under the action of the uniform load q, wherein the internal force results comprise bending moment, axial force and shearing force;
(2) Bottom plate internal force calculation under arch foot vertical displacement effect
Selecting a vertical displacement value DeltaV according to the actual measurement result of similar engineering;
Then according to the theory of material mechanics, the following steps are obtained:
the elastic center or vault under the action of vertical displacement of the foot:
Bending moment m0=0
Axial force n0=0
Shear v0= (Δv×e×i)/(R 3 ×Φ -sin×cos Φ)
Wherein E is the elastic modulus of the concrete, I is the section moment of inertia, R is the radius of the arch axis, and phi is half of the corresponding central angle of the arch axis;
Arch foot under the action of vertical displacement:
bending moment M= + -V0 x R x sin phi
Axial force n= ±v0×sin Φ
Shear v=v0×cos Φ
Step3, floor strength determination
Firstly, summarizing and superposing the internal force results under two actions obtained in Step 2:
Then using sigma-delta sigma N/(b h). + -. Sigma M/W to obtain the maximum and minimum stresses of the cross section;
wherein sigma is the section stress, sigma N is the total axial force after superposition, sigma M is the total bending moment value after superposition, b and h are the width and the height of the calculated section, and W is the section resisting moment;
Comparing the maximum and minimum stresses of the cross section with the designed strength value of the adopted concrete, and if the judging condition is satisfied: the maximum positive stress is smaller than or equal to the compressive strength of the concrete, the minimum negative stress is larger than or equal to the tensile strength of the concrete, step4 is executed, if the judging condition is not met, step1 is returned to again sketch the sagittal ratio D and the thickness D of the bottom plate until the judging condition is met;
Step4, reinforcement calculation
And (3) according to the total axial force sigma N and the total bending moment value sigma M of the arch springing position, carrying out reinforcement calculation according to the eccentric pressed component to obtain the required reinforcement area.
7. The method of designing an assembled inverted arch floor floodgate according to claim 6, wherein in Step1, X is between 7 and 14 and Y is between 9 and 15.
8. The method of designing an assembled inverted arch floor floodgate according to claim 7, wherein X is 10 and y is 12.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202210401846.0A CN114622525B (en) | 2022-04-18 | 2022-04-18 | Assembled inverted arch bottom plate sluice and design method thereof |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202210401846.0A CN114622525B (en) | 2022-04-18 | 2022-04-18 | Assembled inverted arch bottom plate sluice and design method thereof |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN114622525A CN114622525A (en) | 2022-06-14 |
| CN114622525B true CN114622525B (en) | 2024-05-14 |
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