CN114622525A - 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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- 238000013461 design Methods 0.000 title claims abstract description 27
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- 229910000831 Steel Inorganic materials 0.000 claims description 18
- 238000004364 calculation method Methods 0.000 claims description 18
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- 230000035882 stress Effects 0.000 claims description 18
- 238000005452 bending Methods 0.000 claims description 16
- 238000006073 displacement reaction Methods 0.000 claims description 16
- 230000002787 reinforcement Effects 0.000 claims description 12
- 239000000463 material Substances 0.000 claims description 8
- 238000012423 maintenance Methods 0.000 claims description 7
- XLYOFNOQVPJJNP-UHFFFAOYSA-N water Substances O XLYOFNOQVPJJNP-UHFFFAOYSA-N 0.000 claims description 7
- 230000006835 compression Effects 0.000 claims description 4
- 238000007906 compression Methods 0.000 claims description 4
- 230000009429 distress Effects 0.000 claims description 4
- 238000010008 shearing Methods 0.000 claims description 4
- 238000005259 measurement Methods 0.000 claims description 3
- 230000003204 osmotic effect Effects 0.000 claims description 3
- 230000003068 static effect Effects 0.000 claims description 3
- 230000000903 blocking effect Effects 0.000 claims description 2
- 238000010276 construction Methods 0.000 abstract description 16
- 229910001294 Reinforcing steel Inorganic materials 0.000 description 6
- 230000008901 benefit Effects 0.000 description 3
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- 239000000725 suspension Substances 0.000 description 3
- 238000001363 water suppression through gradient tailored excitation Methods 0.000 description 3
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- 239000004568 cement Substances 0.000 description 2
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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
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Abstract
The invention provides an assembled inverted arch bottom plate sluice gate which comprises a first gate pier, a second gate pier and a bottom plate, wherein one end of the bottom plate is connected with the bottom of the first gate pier, the other end of the bottom plate is connected with the bottom of the second gate pier, the bottom plate is arched, and the heights of two ends of the bottom plate are greater 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 be used for ensuring the construction quality more easily, so that the construction difficulty is reduced, the inverted arch structure is simplified, and the design difficulty is reduced.
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
The water gate is a common hydraulic building, most of the water gates are of flat-bottom plate structures, and the water gates of inverted arch bottom plate structures are relatively few. The inverted arch bottom plate is an inverted arch structure which is arranged on the foundation upside down, the whole structure is in a pressed state, and the advantage of strong compression resistance of the concrete material can be fully exerted. Compared with a flat bottom plate, the inverted arch bottom plate can be designed to be thinner, and steel bars can be used less or even not, so that the investment is greatly saved. However, the inverted arch bottom plate is difficult to construct, the construction quality is difficult to guarantee, the inverted arch structure is complex in stress, and the design difficulty is high, so that the development of the inverted arch sluice is limited.
Disclosure of Invention
The present invention is directed to a fabricated inverted arch bottom plate sluice and a design method thereof, so as to solve at least one of the above technical problems.
One technical scheme of the application is as follows: an assembled inverted arch bottom plate sluice gate 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 greater 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 blocking body is arranged between the bottom plate and the top plate.
Preferably, the top plate and the bottom plate are integrally arranged, and the two 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 surfaces of the first gate pier and the second gate pier are both fixed with bent frames, and the two bent frames are connected through a working bridge; an overhaul access bridge is arranged on one side of the bent frame, one end of the overhaul access bridge is connected with the first gate pier, and the other end of the overhaul access bridge is connected with the second gate pier; and a traffic bridge is arranged on the other side of the bent frame, 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 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 maintenance access bridge is fixedly connected with the first gate pier through bolts; the maintenance access 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, and the defect that the flow state of water flow is poor due to the fact that the top surface of a conventional inverted arch bottom plate is not flat is overcome; meanwhile, the top plate can play a role of a pull rod, so that the tendency that arch feet at two ends of the bottom plate move towards the two ends is limited, and the stability of the bottom plate is enhanced; in addition, the bottom plate can generate horizontal force at two end arch feet after being stressed, and the top plate can bear the horizontal force, so that the bottom plate forms an independent body; therefore, the assembly type inverted arch bottom plate sluice gate can guarantee construction quality more easily, construction difficulty is reduced, inverted arch structure simplification is facilitated, and design difficulty is reduced.
Another technical scheme of the application is as follows: a design method of the assembled inverted arch bottom plate sluice comprises the following steps: the bottom plate design step comprises:
step1, preliminary bottom plate geometry:
(1) the arch axis calculation span L takes the value as the gate hole width B;
(2) the vector-span ratio D is preliminarily taken as 1/X, wherein the vector-span ratio D is the ratio of the vector height f calculated by the arch axis to the span L calculated by the arch axis;
(3) the thickness d of the bottom plate is initially taken as L/Y;
(4) according to the geometrical relationship of the structure, the half phi of the arch axis corresponding to the central angle is arcsin (4D/(4D ^2+1)), and the radius R of the arch axis is L/(2sin phi);
step2, calculating the internal force of the soleplate
(1) Calculation of internal force of bottom plate under action of external load
Firstly, calculating an evenly distributed load q value of a bottom plate under the combined action of self weight, water weight, floating force, osmotic pressure and foundation counter-force load, and looking up a practical building structure static calculation manual according to a primary vector-span ratio D to obtain internal force results of an arch foot and an arch crown under the action of the evenly distributed load q, wherein the internal force results comprise bending moment, axial force and shearing force;
(2) calculation of internal force of bottom plate under action of arch foot vertical displacement
Selecting a vertical displacement value delta V according to the actual measurement result of the similar engineering;
then according to the theory of mechanics of materials, the following results are obtained:
elastic center or arch crown under the action of foot vertical displacement:
bending moment M0 is 0
Axial force N0 ═ 0
Shear force
Wherein E is the elastic modulus of concrete, I is the section inertia moment, R is the radius of the arch axis,
is half of the corresponding central angle of the arch axis;
arch foot under the action of foot vertical displacement:
bending moment
Axial force
Shear force
Step3, judgment of the strength of the soleplate
The internal force results obtained in Step2 under two actions were first summed and superimposed:
then, obtaining the maximum and minimum stress of the section by using a formula sigma-sigma N/(b-h) ± sigma M/W;
in the formula, sigma is section stress, sigma N is total axial force after superposition, sigma M is total bending moment value after superposition, b and h are width and height of a calculated section, and W is section resisting moment;
comparing the maximum stress and the minimum stress of the section with the design strength value of the adopted concrete, and if the judgment condition is met: if the maximum positive stress is less than or equal to the compressive strength of the concrete, and the minimum negative stress is greater than or equal to the tensile strength of the concrete, executing Step4, and if the judging condition is not met, returning to Step1 to simulate the vector-span ratio D and the bottom plate thickness D again until the judging condition is met;
step4, reinforcement calculation
And (4) performing reinforcement calculation according to the total axial force sigma N and the total bending moment value sigma M of the arch springing position and the eccentric compression member 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 design method of the assembled inverted arch bottom plate sluice provided by the invention 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 steel bars;
2. the inverted arch bottom plate sluice is of a prefabricated assembly type structure, most components can be manufactured in a factory, and the inverted arch bottom plate sluice can be simply assembled on a construction site, so that the construction process of the inverted arch bottom plate is simplified, and the construction progress is accelerated;
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 method is convenient for designers to master.
Drawings
FIG. 1 is an overall three-dimensional view of a fabricated inverted arch base plate sluice;
FIG. 2 is an overall front view of a fabricated inverted arch base floodgate;
FIG. 3 is a bottom panel elevation view of the present invention;
FIG. 4 is a longitudinal cross-sectional view of the base plate of the present invention;
FIG. 5 is a schematic illustration of the reinforcement of the base plate of the present invention;
FIG. 6 is a schematic diagram of reinforcement at the position of a reserved gap of a gate pier;
FIG. 7 is a schematic view of reinforcement at the connection position of the bottom plate and the gate pier of the present invention;
FIG. 8 is a schematic view of the assembly and fastening of the main components;
FIG. 9 is a perspective view of a bolt fastening method;
FIG. 10 is a perspective view of the manner of fixing the sleeve;
FIG. 11 is a schematic diagram of the main structural parameters of the base plate;
in the figure: the novel gate pier comprises a bottom plate 1, a first gate pier 2-1, a second gate pier 2-2, a concrete connecting band 3, an overhaul access bridge 4, a traffic bridge 5, a bent 6, a working bridge 7, bolts 11, a top plate 12, a plugging body 13, reinforcing steel bars 14, stress bars 15, nuts 16, exhaust holes 17, grouting holes 18, grouting materials 19, triangular gaps 21, vertical reinforcing steel bars 22 and L-shaped reinforcing steel bars 23.
Detailed Description
The invention is further illustrated by the following figures and examples.
The assembled inverted arch bottom plate sluice can keep the top surface of the bottom plate horizontal by arranging the top plate, and overcomes the defect that the flow state of water flow is poor due to the uneven top surface of the conventional inverted arch bottom plate; meanwhile, the top plate can play a role of a pull rod, so that the tendency that arch feet at two ends of the bottom plate move towards the two ends is limited, and the stability of the bottom plate is enhanced; in addition, the bottom plate can generate horizontal force at two end arch feet after being stressed, and the top plate can bear the horizontal force, so that the bottom plate forms an independent body; therefore, the assembly type inverted arch bottom plate sluice gate can guarantee construction quality more easily, construction difficulty is reduced, inverted arch structure simplification is facilitated, and 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 a conventional material such as cement, and is typically 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. In one embodiment, the bottom plate and the first gate pier are connected through a concrete connecting band 3; the bottom plate is connected with the second gate pier through a concrete connecting band 3, in the embodiment, the concrete connecting band can also be called a concrete cast-in-place band, when the bottom plate is in engineering operation, generally, only tensile stress is generated at the arch springing, so that only a reinforcing steel bar 14 needs to be configured within a certain length (1/4-1/8 reverse arch arc length) range of the arch springing, referring to fig. 5, the reinforcing steel bar 14 at the arch springing is reserved with a certain length (not less than 35 times of the diameter of the reinforcing steel bar) and extends to the area of the cast-in-place concrete connecting band 3; when first gate pier and second gate pier (henceforth collectively called gate pier) are actually made, refer to fig. 6 and fig. 7, a breach 21 that the section is triangle-shaped is reserved in the gate pier at back pouring concrete connecting band 3 position, and the vertical reinforcing bar 22 of breach position gate pier is not broken, and L shaped steel bar 23 is pre-buried in the breach position, and L shaped steel bar both ends are buried inside the gate pier, and the region that breach 21 and L shaped steel bar 23 enclose is the region of back pouring concrete connecting band 3 promptly. 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 embedded in the gate pier, and then the concrete connecting band 3 is poured. The concrete connecting belt 3 is poured after other components are assembled, and the concrete connecting belt is the last step of the assembly engineering. Referring to fig. 5, when the top plate is manufactured, the stress bar 15 of the top plate 12 perpendicular to the water flow direction should be bent inwards towards the bottom plate, and the bending length is not less than 35 times of the diameter of the steel bar.
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 by a working bridge 7; an overhaul access bridge 4 is arranged on one side of the bent frame, one end of the overhaul access bridge is connected with the first gate pier, and the other end of the overhaul access bridge is connected with the second gate pier; and a traffic bridge 5 is arranged on the other side of the bent frame, 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 maintenance access bridge and the traffic bridge form transverse support of the gate piers to limit the arch springing corner. In this embodiment, the bent frame is fixedly connected with the first gate pier through a steel bar 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-embedded, the sleeve is pre-embedded in the bent frame, the upper portion of the sleeve is provided with an exhaust hole 17 extending out of the bent frame, the lower portion of the sleeve is provided with a grouting hole 18 extending out of the bent frame, the steel bars arranged on the gate pier extend upwards out of the gate pier and extend into the sleeve, the steel bars on the working bridge are also pre-embedded 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 maintenance access bridge is fixedly connected with the first gate pier through bolts; overhaul the suspension bridge with the second gate pier passes through bolt fixed connection, stops that figure 8 and figure 10, and during preparation gate pier, 11 lower parts of bolt are pre-buried in the gate pier, with the interior reinforcing bar welding of structure, and the gate pier top surface is exposed on bolt upper portion, and the bolt hole is reserved at the connection position of work suspension bridge, connection suspension bridge etc. bolt upper portion passes after the bolt hole during installation with nut 16 is fixed can
Generally, the factors that have a large influence on the internal force of the inverted arch bottom plate are more, specifically: arch foot corner, arch foot horizontal displacement, arch foot vertical displacement, temperature and external load. The maintenance access bridge and the traffic bridge form the transverse support of the gate pier, so that the arch foot corner is limited, and the arch foot corner can not be considered. In the invention, the bottom plate and the top plate are designed into a whole, so that the inverted arch bottom plate is an independent stable structure, the arch springing can not generate horizontal thrust to the gate pier, and the arch springing has no horizontal displacement, therefore, the horizontal displacement of the arch springing can not be considered. 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 located 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 not considered. In summary, the factors that have a large influence on the internal force of the inverted arch base plate mainly include the arch springing vertical displacement and the foundation reaction force. It can be seen that the assembled inverted arch bottom plate sluice disclosed by the invention greatly reduces factors influencing the internal force of the inverted arch bottom plate through structural optimization, thereby simplifying the design method of the sluice.
In embodiment 2, the present invention provides a design method of the above assembled inverted arch bottom plate sluice, in which design methods of structures such as a sluice pier, an overhaul access bridge, a traffic bridge, a bent, a working bridge, and the like can be designed according to a conventional sluice design method, and the design method mainly includes the following steps: wherein the floor design step comprises:
step1, preliminary bottom plate geometry:
(1) the arch axis calculation span L is taken as the gate hole width B, namely L is taken as B;
(2) the vector-span ratio D (the ratio of the arch axis calculation vector height f to the arch axis calculation span L) is preliminarily taken to be 1/10;
(3) the thickness d of the inverted arch bottom plate is initially taken as L/12;
(4) according to the geometrical relationship of the structure, the camber axis corresponds to half of the central angle Φ ═ arcsin (4D/(4D ^2+1)), and the camber axis radius R ═ L/(2sin Φ), and the 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 base plate under action of external load
Firstly, calculating an evenly distributed load q value of an inverted arch bottom plate under the combined action of loads such as dead weight, water weight, buoyancy force, osmotic pressure, foundation counterforce and the like, checking a practical building structure static calculation manual according to a primary vector-span ratio D, and obtaining internal force results of arch springing and an arch crown under the action of the evenly distributed 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 arch foot vertical displacement
According to the actual measurement result of similar engineering, a vertical displacement value delta V is selected and then designed.
According to the theory of mechanics of materials, under the action of vertical displacement of feet, the elastic center or arch crown is as follows:
bending moment M0 is 0
Axial force N0 ═ 0
Shear force
Wherein E is the elastic modulus of concrete, I is the section inertia moment, R is the radius of the arch axis,
is half of the corresponding central angle of the arch axis;
the arch springing position:
bending moment
Axial force
Shear force
Step3, determining strength of inverted arch base plate
The internal force results obtained in Step2 under both actions were first summed and superimposed.
Obtaining the maximum and minimum stress of the section by using a formula sigma ═ sigma N/(b ═ h) ± sigma M/W;
in the formula, sigma is section stress, sigma N is total axial force after superposition, sigma M is total bending moment value after superposition, b and h are width and height of the calculated section, and W is section resisting moment.
And obtaining the maximum and minimum stress of the section, comparing with the designed strength value of the adopted concrete, wherein the maximum positive stress is not more 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 above judgment condition is not met, returning to Step1 to simulate the fixed vector span ratio D and the inverted arch bottom plate thickness D again until the condition is met.
Step4, calculating the reinforcement according to the total axial force sigma N and the total bending moment value sigma M of the arch springing position, and calculating the reinforcement according to the eccentric compression member to obtain the required reinforcement area.
The design method of the assembled inverted arch bottom plate sluice in the embodiment has the following advantages:
4. compared with the conventional flat bottom plate sluice, the assembled inverted arch bottom plate sluice can greatly save the using amount of concrete and steel bars;
5. the inverted arch bottom plate sluice is of a prefabricated assembly type structure, most components can be manufactured in a factory, and the inverted arch bottom plate sluice can be simply assembled on a construction site, so that the construction process of the inverted arch bottom plate is simplified, and the construction progress is accelerated;
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 method is convenient for designers to master.
It should be noted that in the Step1, the initial value of the vector-span ratio D is only the optimal value, which may be 1/14-1/7; similarly, the preliminary value of the inverted arch bottom plate thickness d can also be 1/15-1/9.
The above description is only for the purpose of illustrating preferred embodiments of the present invention and is not to be construed as limiting the present invention, and the terms first, second, etc. are used for distinguishing between similar terms and not for limiting the technical terms, and various modifications and variations of the present invention may occur to those skilled in the art. Any modification, equivalent replacement, or improvement made within the spirit and principle of the present invention should be included in the protection scope of the present invention.
Claims (9)
1. An assembled inverted arch bottom plate sluice gate 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 assembled inverted arch bottom plate sluice gate is characterized in that the bottom plate is arched, and the heights of the two ends of the bottom plate are greater than the height of the middle position of the bottom plate;
the two ends of the bottom plate are connected through a top plate (12).
2. A fabricated inverted arch floor sluice according to claim 1, characterised in that a blocking body (13) is arranged between the floor and the roof.
3. The fabricated inverted arch bottom plate sluice as claimed in claim 2, wherein the top plate and the bottom plate are integrally formed, and the bottom plate is provided with plugging bodies at both sides thereof.
4. A fabricated inverted arch bottom plate floodgate according to claim 3, wherein said bottom plate is connected to said first gate pier by a concrete connection strip;
the bottom plate is connected with the second gate pier through a concrete connecting belt (3).
5. A fabricated inverted arch bottom plate sluice according to any one of claims 1 to 4, characterised in that the top surface of the first pier and the top surface of the second pier are each fixed with a bent frame (6), and the two bent frames are connected by a working bridge (7);
an overhaul access bridge (4) is arranged on one side of the bent frame, one end of the overhaul access bridge is connected with the first gate pier, and the other end of the overhaul access bridge is connected with the second gate pier;
and a traffic bridge (5) is arranged on the other side of the bent frame, 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.
6. The fabricated inverted arch bottom plate sluice of claim 5, wherein the bent frame is fixedly connected with the first gate pier through a steel 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 maintenance access bridge is fixedly connected with the first gate pier through bolts;
the maintenance access bridge is fixedly connected with the second gate pier through bolts.
7. A design method of the fabricated inverted arch floor floodgate of any one of claims 1 to 6, comprising the floor design step of:
the method is characterized in that the design steps of the bottom plate comprise:
step1, preliminary bottom plate geometry:
(1) the arch axis calculation span L takes the value as the gate hole width B;
(2) the vector-to-span ratio D is preliminarily taken as 1/X, wherein the vector-to-span ratio D is the ratio of the vector height f calculated by the arch axis to the arch axis calculated span L;
(3) the thickness d of the bottom plate is initially taken as L/Y;
(4) according to the geometrical relationship of the structure, the half phi of the arch axis corresponding to the central angle is arcsin (4D/(4D ^2+1)), and the radius R of the arch axis is L/(2sin phi);
step2, calculating the internal force of the soleplate
(1) Calculation of internal force of bottom plate under action of external load
Firstly, calculating an evenly distributed load q value of a bottom plate under the combined action of self weight, water weight, floating force, osmotic pressure and foundation counter-force load, and looking up a practical building structure static calculation manual according to a primary vector-span ratio D to obtain internal force results of an arch foot and an arch crown under the action of the evenly distributed load q, wherein the internal force results comprise bending moment, axial force and shearing force;
(2) calculation of internal force of bottom plate under action of arch foot vertical displacement
Selecting a vertical displacement value delta V according to the actual measurement result of the similar engineering;
then according to the theory of mechanics of materials, the following results are obtained:
elastic center or arch crown under the action of foot vertical displacement:
bending moment M0 equals 0
Axial force N0 ═ 0
Shearing force
Wherein E is the elastic modulus of concrete, I is the section inertia moment, R is the radius of the arch axis,
is half of the corresponding central angle of the arch axis;
arch springing under the action of foot vertical displacement:
bending moment
Axial force
Shear force
Step3, judgment of the strength of the soleplate
The internal force results obtained in Step2 under two actions were first summed and superimposed:
then, obtaining the maximum and minimum stress of the section by using a formula sigma-N/(b-h) +/-sigma M/W;
in the formula, sigma is section stress, sigma N is total axial force after superposition, sigma M is total bending moment value after superposition, b and h are width and height of a calculated section, and W is section resisting moment;
comparing the maximum stress and the minimum stress of the section with the design strength value of the adopted concrete, and if the judgment condition is met: if the maximum positive stress is less than or equal to the compressive strength of the concrete, and the minimum negative stress is greater than or equal to the tensile strength of the concrete, executing Step4, and if the judging condition is not met, returning to Step1 to simulate the vector-span ratio D and the bottom plate thickness D again until the judging condition is met;
step4, reinforcement calculation
And (4) performing reinforcement calculation according to the total axial force sigma N and the total bending moment value sigma M of the arch springing position and the eccentric compression member to obtain the required reinforcement area.
8. The method as claimed in claim 7, wherein in Step1, X is between 7 and 14 and Y is between 9 and 15.
9. The method of claim 8, wherein X is 10 and Y is 12.
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Citations (12)
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