CN114936393B - Method and device for determining optimal beam height of cable-stayed bridge and electronic equipment - Google Patents

Method and device for determining optimal beam height of cable-stayed bridge and electronic equipment Download PDF

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CN114936393B
CN114936393B CN202210322999.6A CN202210322999A CN114936393B CN 114936393 B CN114936393 B CN 114936393B CN 202210322999 A CN202210322999 A CN 202210322999A CN 114936393 B CN114936393 B CN 114936393B
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concrete
steel
section
lower chord
steel structure
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刘振标
文望青
严爱国
胡方杰
夏正春
印涛
柳鸣
李振东
杨得旺
周刚
姜洪劲
段鈜
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China Railway Siyuan Survey and Design Group Co Ltd
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Abstract

The invention discloses a method, a device and electronic equipment for determining the optimal beam height of a cable-stayed bridge, belonging to the technical field of bridge engineering, comprising the steps of calculating the bending stiffness of a combined section; respectively calculating the internal force of the concrete slab and the internal force of the steel bottom chord according to the rigidity distribution principle, and calculating the stress of the concrete slab and the steel bottom chord according to the calculated internal force of the concrete slab and the calculated internal force of the steel bottom chord; establishing a cross-sectional area ratio equation of the concrete slab to the steel bottom chord according to a preset control condition, wherein the preset control condition is the ratio of the allowable stress of the concrete slab to the allowable stress of the steel bottom chord; and calculating the internal force representing the section according to the span of the bridge and the distance between the stay cables, drawing a relation curve between the beam height and the section ratio and the steel consumption, and obtaining the optimal beam height by taking the minimum steel consumption as a principle. The invention has the technical effects of saving a great deal of time and labor, having higher accuracy of calculation results and strong applicability.

Description

Method and device for determining optimal beam height of cable-stayed bridge and electronic equipment
Technical Field
The invention belongs to the technical field of bridge engineering, and particularly relates to a method and device for determining the optimal beam height of a cable-stayed bridge and electronic equipment.
Background
The steel truss-concrete composite beam cable-stayed bridge has the advantages of large integral and local rigidity, small steel consumption, thorough structure, convenient construction and the like, and the application of the steel truss-concrete composite beam cable-stayed bridge is more and more wide. The girder heights, the sectional areas of concrete plates and the sectional areas of steel lower chords of the steel truss-concrete composite girder cable-stayed bridges with different spans are different.
At present, in the existing bridge engineering technology, a rod system finite element model of a steel truss-concrete composite beam cable-stayed bridge is generally established, and calculation is carried out by continuously changing the beam height of a main beam, the sectional area of a concrete slab and the sectional area of a steel lower chord. And a scheme which can meet the stress requirement and has the minimum structural price is obtained from a large number of calculation results so as to determine the optimal beam height. However, in the calculation process of the optimal beam height and chord cross section of the steel truss-concrete composite beam cable-stayed bridge, the workload of finite element trial calculation is large, the determination of results is carried out by adopting experience and the existing example reference, so that the subjectivity is strong, a large amount of data is needed to be used as a support to obtain accurate results, a large amount of time and labor are consumed, the accuracy of the calculation results is low, and the applicability is poor.
In summary, in the existing bridge engineering technology, a great deal of time and labor are consumed, the accuracy of the calculation result is low, and the applicability is poor.
Disclosure of Invention
The invention aims to solve the technical problems of great time and labor consumption, lower accuracy of calculation results and poor applicability.
In order to solve the technical problems, the invention provides a method for determining the optimal beam height of a cable-stayed bridge, which comprises the following steps: the method comprises the steps of obtaining the elastic modulus of concrete, the elastic modulus of a steel structure, the moment of inertia of upper concrete to a transverse shaft, the sectional area of a lower chord steel structure and the distance between the upper concrete and a lower chord steel structure-shaped mandrel, and calculating the bending stiffness of a combined section; respectively calculating the internal force of the concrete slab and the internal force of the steel lower chord according to a rigidity distribution principle, and calculating the stress of the concrete slab and the steel lower chord according to the calculated internal force of the concrete slab and the calculated internal force of the steel lower chord; establishing a cross-sectional area ratio equation of the concrete slab to the steel bottom chord according to a preset control condition, wherein the preset control condition is the ratio of the allowable stress of the concrete slab to the allowable stress of the steel bottom chord; and calculating the internal force representing the section according to the span of the bridge and the distance between the stay cables, drawing a relation curve between the beam height and the section ratio and the steel consumption, and obtaining the optimal beam height by taking the minimum steel consumption as the original.
Further, the method further comprises: and calculating the sectional area ratio according to the optimal beam height to obtain the sectional area of the chord rod.
Further, the obtaining the elastic modulus of the concrete, the elastic modulus of the steel structure, the moment of inertia of the upper layer concrete to the transverse shaft, the sectional area of the lower chord steel structure, and the distance between the upper layer concrete and the shape mandrel of the lower chord steel structure, to calculate the bending stiffness of the combined section includes: E c is the elastic modulus of the concrete, E s is the elastic modulus of the steel structure, I c is the moment of inertia of the upper concrete to the transverse axis, A s is the cross-sectional area of the lower chord steel structure, y s is the distance between the upper concrete and the lower chord steel structure mandrel, and B is the bending stiffness of the steel truss-concrete composite section.
Further, the calculating the internal force of the concrete slab and the internal force of the steel bottom chord according to the rigidity distribution principle respectively, and the calculating the stress of the concrete slab and the steel bottom chord according to the calculated internal force of the concrete slab and the calculated internal force of the steel bottom chord comprises ：N＝Nc+Ns,Nc＝Nc1+Nc2, Ns＝Ns1+Ns2,Nc1+Ns1＝0,Nc2/Ns2＝EcAc/EsAs, M＝Mc+Ns1ys2-Nc1ys1＝Mc+Ns1ys, Wherein N is the total cross-sectional axial force, M is the total cross-sectional bending moment, M c is the bending moment of the upper concrete, N c is the total axial force of the upper concrete, N c1 is the axial force generated by the bending moment of the upper concrete, N c2 is the axial force generated by the total axial force of the upper concrete, N s is the total axial force of the lower chord steel structure, N s1 is the axial force generated by the bending moment of the lower chord steel structure, and N s2 is the axial force generated by the total axial force of the lower chord steel structure; the N c1 is the upper concrete axial force, the y s1 is the distance between the upper concrete axial shaft and the combined cross-section conversion axial shaft, the N s1 is the lower chord steel structural axial force, and the y s2 is the distance between the lower chord steel structural axial shaft and the combined cross-section conversion axial shaft; the upper edge stress of the upper layer concrete section can be pushed out according to the internal force: The stress of the lower chord steel structure is as follows: - η = E s/Ec, - β = a s/Ac, wherein η is the steel to concrete ratio to the spring to contact, β is the area ratio of the lower chord steel structure to the upper concrete; the upper layer concrete can be equivalently rectangular in section Then H is the concrete beam section height, A c is the upper concrete cross-sectional area, and y t is the upper edge of the upper concrete and the upper concrete form mandrel distance.
According to a further aspect of the present invention there is provided an apparatus for determining an optimum beam height for a cable-stayed bridge, the apparatus comprising: the combined section bending rigidity calculation module is used for obtaining the elastic modulus of the concrete, the elastic modulus of the steel structure, the moment of inertia of the upper layer concrete to the transverse shaft, the cross-sectional area of the lower chord steel structure and the distance between the upper layer concrete and the lower chord steel structure-shaped mandrel to calculate the bending rigidity of the combined section; the stress calculation module is used for calculating the internal force of the concrete slab and the internal force of the steel lower chord respectively according to the rigidity distribution principle, and calculating the stress of the concrete slab and the steel lower chord according to the calculated internal force of the concrete slab and the calculated internal force of the steel lower chord; the sectional area ratio equation calculating module is used for establishing a sectional area ratio equation of the concrete slab to the steel bottom chord according to a preset control condition, wherein the preset control condition is the ratio of the allowable stress of the concrete slab to the allowable stress of the steel bottom chord; and the optimal beam height calculation module is used for calculating the internal force representing the section according to the span of the bridge and the distance between the stay cables, drawing a relation curve between the beam height and the section ratio and between the beam height and the steel consumption, and obtaining the optimal beam height by taking the minimum steel consumption as a principle.
Further, the apparatus further comprises: and the chord cross section calculating module is used for calculating the cross section ratio according to the optimal beam height to obtain the chord cross section.
According to a further aspect of the present invention there is also provided an electronic device for determining the optimum beam height of a cable-stayed bridge, comprising a memory, a processor and a computer program stored on the memory and executable on the processor, said processor implementing the following steps when said program is executed: the method comprises the steps of obtaining the elastic modulus of concrete, the elastic modulus of a steel structure, the moment of inertia of upper concrete to a transverse shaft, the sectional area of a lower chord steel structure and the distance between the upper concrete and a lower chord steel structure-shaped mandrel, and calculating the bending stiffness of a combined section; respectively calculating the internal force of the concrete slab and the internal force of the steel bottom chord according to the rigidity distribution principle, and calculating the stress of the concrete slab and the steel bottom chord according to the calculated internal force of the concrete slab and the calculated internal force of the steel bottom chord; establishing a cross-sectional area ratio equation of the concrete slab to the steel bottom chord according to a preset control condition, wherein the preset control condition is the ratio of the allowable stress of the concrete slab to the allowable stress of the steel bottom chord; and calculating the internal force representing the section according to the span of the bridge and the distance between the stay cables, drawing a relation curve between the beam height and the section ratio and the steel consumption, and obtaining the optimal beam height by taking the minimum steel consumption as a principle.
Further, the processor, when executing the program, also implements the following steps: and calculating the sectional area ratio according to the optimal beam height to obtain the chord sectional area.
According to a further aspect of the present invention there is also provided a computer readable storage medium for determining an optimum beam height for a cable-stayed bridge, having stored thereon a computer program which when executed by a processor performs the steps of: the method comprises the steps of obtaining the elastic modulus of concrete, the elastic modulus of a steel structure, the moment of inertia of upper concrete to a transverse shaft, the sectional area of a lower chord steel structure and the distance between the upper concrete and a lower chord steel structure-shaped mandrel, and calculating the bending stiffness of a combined section; respectively calculating the internal force of the concrete slab and the internal force of the steel bottom chord according to the rigidity distribution principle, and calculating the stress of the concrete slab and the steel bottom chord according to the calculated internal force of the concrete slab and the calculated internal force of the steel bottom chord; establishing a cross-sectional area ratio equation of the concrete slab to the steel lower chord according to a preset control condition, wherein the preset control condition is the ratio of the allowable stress of the concrete slab to the allowable stress of the steel lower chord; and calculating the internal force representing the section according to the span of the bridge and the distance between the stay cables, drawing a relation curve between the beam height and the section ratio and the steel consumption, and obtaining the optimal beam height by taking the minimum steel consumption as a principle.
Further, the program when executed by the processor further performs the steps of: and calculating the sectional area ratio according to the optimal beam height to obtain the chord sectional area.
The beneficial effects are that:
The invention provides a method for determining the optimal beam height of a cable-stayed bridge, which is used for calculating the bending rigidity of a combined section by acquiring the elastic modulus of concrete, the elastic modulus of a steel structure, the moment of inertia of upper layer concrete to a transverse shaft, the cross section area of a lower chord steel structure and the distance between the upper layer concrete and a lower chord steel structure-shaped mandrel; respectively calculating the internal force of the concrete slab and the internal force of the steel bottom chord according to the rigidity distribution principle, and calculating the stress of the concrete slab and the steel bottom chord according to the calculated internal force of the concrete slab and the calculated internal force of the steel bottom chord; establishing a cross-sectional area ratio equation of the concrete slab to the steel bottom chord according to a preset control condition, wherein the preset control condition is the ratio of the allowable stress of the concrete slab to the allowable stress of the steel bottom chord; and calculating the internal force representing the section according to the span of the bridge and the distance between the stay cables, drawing a relation curve between the beam height and the section ratio and between the beam height and the steel consumption, and obtaining the optimal beam height by taking the minimum steel consumption as a principle. The main components stressed in the longitudinal direction are selected, the rigidity of the combined section is calculated on the basis, then the internal forces of the concrete and the steel structure are calculated according to the rigidity distribution principle, and the stress is calculated. Taking the allowable stress of the material as a control condition, taking the internal force at the representative section of the bridge to obtain the relation between the beam height and the steel consumption, and taking the minimum steel consumption as an index to obtain the optimal beam height. And then, the optimal beam height of the steel truss-concrete composite beam is obtained through theoretical calculation from the angles of mechanical property and economy, and the accuracy of a calculation result is high. The corresponding optimal beam height can be obtained only by modifying the related parameters of the bridges with different spans, and the method is applicable to the steel truss-concrete composite beam cable-stayed bridges with different spans and has strong applicability. In the calculation process of the optimal beam height of the steel truss-concrete composite beam cable-stayed bridge, the calculation is convenient and quick, a large amount of finite element modeling calculation is not needed, and a large amount of time and labor are saved. Therefore, the technical effects of saving a large amount of time and labor, having higher accuracy of calculation results and strong applicability are achieved.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings that are needed in the embodiments will be briefly described below, it will be apparent that the drawings in the following description are only some embodiments of the present invention, and that other drawings can be obtained according to these drawings without inventive effort for a person skilled in the art.
FIG. 1 is a flow chart of a method for determining an optimal beam height for a cable-stayed bridge according to an embodiment of the present invention;
FIG. 2 is a block diagram of a device for determining an optimal beam height of a cable-stayed bridge according to an embodiment of the present invention;
FIG. 3 is a block diagram of an electronic device for determining an optimal beam height of a cable-stayed bridge according to an embodiment of the present invention;
FIG. 4 is a block diagram of a computer readable storage medium for determining an optimal beam height for a cable-stayed bridge according to an embodiment of the present invention;
FIG. 5 is a schematic diagram I of a method for determining an optimal beam height of a cable-stayed bridge according to an embodiment of the present invention;
fig. 6 is a schematic diagram II of a method for determining an optimal beam height of a cable-stayed bridge according to an embodiment of the present invention.
Detailed Description
The invention discloses a method for determining the optimal beam height of a cable-stayed bridge, which is used for calculating the bending stiffness of a combined section by acquiring the elastic modulus of concrete, the elastic modulus of a steel structure, the moment of inertia of upper layer concrete to a transverse shaft, the section area of a lower chord steel structure and the distance between the upper layer concrete and a lower chord steel structure-shaped mandrel; respectively calculating the internal force of the concrete slab and the internal force of the steel lower chord according to the rigidity distribution principle, and calculating the stress of the concrete slab and the steel lower chord according to the calculated internal force of the concrete slab and the calculated internal force of the steel lower chord; establishing a cross-sectional area ratio equation of the concrete slab to the steel bottom chord according to a preset control condition, wherein the preset control condition is the ratio of the allowable stress of the concrete slab to the allowable stress of the steel bottom chord; and calculating the internal force representing the section according to the span of the bridge and the distance between the stay cables, drawing a relation curve between the beam height and the section ratio and the steel consumption, and obtaining the optimal beam height by taking the minimum steel consumption as a principle. The main components subjected to longitudinal stress are selected, the rigidity of the combined section is calculated on the basis, then the internal forces of the concrete and the steel structure are calculated according to the rigidity distribution principle, and the stress is calculated. And taking the allowable stress of the material as a control condition, taking the internal force at the representative section of the bridge to obtain the relation between the beam height and the steel consumption, and taking the minimum steel consumption as an index to obtain the optimal beam height. And then, from the angles of mechanical property and economy, the optimal beam height of the steel truss-concrete composite beam is obtained through theoretical calculation, and the accuracy of a calculation result is higher. The corresponding optimal beam height can be obtained only by modifying the related parameters of the bridges with different spans, and the method is applicable to the steel truss-concrete composite beam cable-stayed bridges with different spans and has strong applicability. In the calculation process of the optimal beam height of the steel truss-concrete composite beam cable-stayed bridge, the calculation is convenient and quick, a large amount of finite element modeling calculation is not needed, and a large amount of time and labor are saved. Therefore, the technical effects of saving a large amount of time and labor, having higher accuracy of calculation results and strong applicability are achieved.
The following description of the embodiments of the present invention will be made clearly and completely with reference to the accompanying drawings, in which it is apparent that the embodiments described are only some embodiments of the present invention, but not all embodiments. All other embodiments obtained by a person skilled in the art based on the embodiments of the present invention are within the scope of the present invention; wherein the "and/or" keywords referred to in this embodiment denote and/or both cases, in other words, a and/or B mentioned in the embodiments of the present invention denote both cases a and B, A or B, and three states in which a and B exist are described, such as a and/or B, and denote: only A and not B; only B and not A; includes A and B.
It will be understood that, although the terms "first," "second," etc. may be used herein to describe various elements, components, regions, layers and/or sections, these elements, components, regions, layers and/or sections should not be limited by these terms. These terms are only used to distinguish one element, component, region, layer or section from another element, component, region, layer or section. Thus, a first element, component, region, layer or section discussed below could be termed a second element, component, region, layer or section without departing from the teachings of the example embodiments. Spatially relative terms, such as "below," "above," and the like, may be used herein to facilitate a description of one element or feature's relationship to another element or feature. It will be understood that the spatially relative terms may be intended to encompass different orientations of the device in use or operation in addition to the orientation depicted in the figures. For example, if the device in the figures is turned over, elements or features described as "below" would then be oriented "on" other elements or features. Thus, the exemplary term "below" may include both above and below orientations. The device may be oriented (rotated 90 degrees or in other orientations) and the spatially relative descriptors used herein interpreted accordingly.
Also, in embodiments of the present invention, when an element is referred to as being "fixed to" another element, it can be directly on the other element or intervening elements may also be present. When a component is considered to be "connected" to another component, it can be directly connected to the other component or intervening components may also be present. When an element is referred to as being "disposed on" another element, it can be directly on the other element or intervening elements may also be present. The terms "vertical", "horizontal", "left", "right" and the like are used in the embodiments of the present invention for illustrative purposes only and are not intended to limit the present invention.
Example 1
Referring to fig. 1, fig. 1 is a flowchart of a method for determining an optimal beam height of a cable-stayed bridge according to an embodiment of the present invention. The method for determining the optimal beam height of the cable-stayed bridge provided by the embodiment of the invention comprises the following steps:
s100, obtaining the elastic modulus of concrete, the elastic modulus of a steel structure, the moment of inertia of upper concrete to a transverse shaft, the sectional area of a lower chord steel structure and the distance between the upper concrete and a shape mandrel of the lower chord steel structure, and calculating the bending stiffness of the combined section; the step of obtaining the elastic modulus of the concrete, the elastic modulus of the steel structure, the moment of inertia of the upper layer concrete to the transverse shaft, the sectional area of the lower chord steel structure and the distance between the upper layer concrete and the lower chord steel structure-shaped mandrel to calculate the bending stiffness of the combined section comprises the following steps: E c is the elastic modulus of the concrete, E s is the elastic modulus of the steel structure, I c is the moment of inertia of the upper concrete to the transverse axis, A s is the cross-sectional area of the lower chord steel structure, y s is the distance between the upper concrete and the lower chord steel structure centroid, and B is the bending stiffness of the steel truss-concrete combination section.
Referring to fig. 5, fig. 5 is a schematic diagram of a method for determining an optimal beam height of a cable-stayed bridge according to an embodiment of the present invention, wherein the concrete bridge deck 51, the steel lower chord 52 and the beam center line 55 shown in fig. 5, and a mechanical principle assumption condition of the method for determining an optimal beam height of a cable-stayed bridge according to an embodiment of the present invention includes: neglecting the contribution of the web members and the parallel connection to the bending rigidity, neglecting the influence of the bending inertia moment of the lower chord steel structure on the bending rigidity of the section, and neglecting the influence of the change of the shape mandrel on the bending rigidity of the section after the concrete combination. A c、As is the sectional area of the upper concrete layer and the sectional area of the lower chord steel structure respectively; y t is the distance between the upper edge of the upper layer concrete and the centroid axis of the upper layer concrete; y s is the distance between the upper layer concrete and the lower chord steel structure-shaped mandrel; y s1 is the distance between the upper concrete form mandrel 53 and the combined cross-section converted form mandrel 54; y s2 is the distance between the lower chord steel structural centroid and the combined cross-section converted centroid 54.
S110, respectively calculating the internal force of the concrete slab and the internal force of the steel lower chord according to a rigidity distribution principle, and calculating the stress of the concrete slab and the steel lower chord according to the calculated internal force of the concrete slab and the calculated internal force of the steel lower chord; the method for calculating the internal force of the concrete plate and the internal force of the steel bottom chord according to the rigidity distribution principle comprises the following steps of ：N＝Nc+Ns,Nc＝Nc1+Nc2, Ns＝Ns1+Ns2,Nc1+Ns1＝0,Nc2/Ns2＝EcAc/EsAs, M＝Mc+Ns1ys2-Nc1ys1＝Mc+Ns1ys, Wherein N is the total cross-sectional axial force, M is the total cross-sectional bending moment, M c is the bending moment of the upper concrete, N c is the total axial force of the upper concrete, N c1 is the axial force generated by the bending moment of the upper concrete, N c2 is the axial force generated by the total axial force of the upper concrete, N s is the total axial force of the lower chord steel structure, N s1 is the axial force generated by the bending moment of the lower chord steel structure, and N s2 is the axial force generated by the total axial force of the lower chord steel structure; the N c1 is the upper concrete axial force, the y s1 is the distance between the upper concrete centroid 53 and the combined cross-section scaled centroid 54, the N s1 is the lower chord steel structural axial force, and the y s2 is the distance between the lower chord steel structural centroid and the combined cross-section scaled centroid 54; the upper edge stress of the upper layer concrete section can be pushed out according to the internal force: The stress of the lower chord steel structure is as follows: - η = E s/Ec, - β = a s/Ac, wherein η is the steel to concrete ratio to the spring to contact, β is the area ratio of the lower chord steel structure to the upper concrete; the upper layer concrete can be equivalently rectangular in section ThenWhere h is the concrete beam cross-sectional height, A c is the upper concrete cross-sectional area, and yt is the distance between the upper edge of the upper concrete and the upper concrete form mandrel 53.
Specifically, after the bending rigidity of the combined section is calculated in the above step S100, the bending rigidity of the formed steel truss-concrete combined section is: Wherein E c、Es is the elastic modulus of the concrete (i.e. at the concrete deck slab 51) and the steel structure, respectively; i c is the moment of inertia of the upper concrete to the transverse axis. The axial force and bending moment of the whole section are N, M respectively; m c、Nc、Nc1、Nc2 is the bending moment of the upper layer concrete, the total axial force of the upper layer concrete, the axial force generated by the bending moment M and the axial force generated by the axial force N respectively; n s、Ns1、Ns2 is the total axial force of the lower chord steel structure, the axial force generated by the bending moment M and the axial force generated by the axial force N respectively; n=n c+Ns,Nc＝Nc1+Nc2,Ns＝Ns1+Ns2. The sum of axial forces generated by the bending moment is 0; n c1+Ns1 = 0. The axial force N c2、Ns2 generated by the section axial force N of the upper concrete and the lower chord steel structure is distributed according to the rigidity: n c2/Ns2＝EcAc/EsAs. The section bending moment M is formed by multiplying an upper concrete bending moment M c, an upper concrete axial force N c1 by a moment arm y s1, and multiplying a lower chord steel structure axial force N s1 by a moment arm y s2: m=m c+Ns1ys2-Nc1ys1＝Mc+Ns1ys. The bending moment M is also distributed according to the stiffness: The method can obtain: the upper edge stress of the upper layer concrete section can be deduced according to the internal force: lower chord steel structural stress: Where η=e s/Ec is the steel to concrete spring to touch ratio and β=a s/Ac is the area ratio of the lower chord steel structure to the upper concrete. For upper layer concrete, the upper layer concrete can be equivalent to rectangular section Wherein h is the section height of the concrete beam. Then:
Step S120, establishing a sectional area ratio equation of the concrete slab to the steel bottom chord according to a preset control condition, wherein the preset control condition is the ratio of the allowable stress of the concrete slab to the allowable stress of the steel bottom chord;
Specifically, after the stresses of the concrete slab and the steel bottom chord are calculated in the step S110, the ratio of the allowable stresses of the concrete and the steel structure is used as a control condition in order to fully develop the performance of the steel structure and the concrete material. Taking the model of C60 concrete and Q345qD steel as an example, the C60 concrete allows compressive stress: 20MPa, Q345qD allows for axial stress: 200MPa. The ratio of cross-sectional areas can be deduced at this stress ratio: wherein, A= -M eta 2ys, From the above equation, the sectional area ratio β is only related to y s when the sectional internal force N, M is determined and the upper concrete beam height is determined, i.e., h and y t. y s is directly expressed as the beam height of the steel truss-concrete composite beam section.
And S130, calculating the internal force representing the section according to the span of the bridge and the distance between the stay cables, drawing a relation curve between the beam height and the section ratio and between the beam height and the steel consumption, and obtaining the optimal beam height by taking the minimum steel consumption as a principle. The method for determining the optimal beam height of the cable-stayed bridge provided by the embodiment of the invention further comprises the following steps: and calculating the sectional area ratio according to the optimal beam height to obtain the chord sectional area.
Specifically, after the sectional area ratio equation of the concrete slab to the steel bottom chord is established through the step S120, for the main span of the cable-stayed bridge under the action of the uniform load q, the internal force N, M of the section can be approximately as follows: Wherein L is the distance from the section to the midspan, n is the number of the stay cables between the section and the midspan, and alpha is the included angle between the stay cables and the horizontal plane; l 0 is the stay cable spacing. According to the spans of different cable-stayed bridges, the intervals and the included angles of stay cables, different section internal forces can be obtained, and the relationship between the section area ratio and the beam height can be drawn after the internal forces are brought into the following formula. The steel consumption of the beam can be calculated according to the sectional area, and the optimal y s can be obtained by taking the steel consumption as an index, so that the beam height is calculated. Referring to fig. 6, fig. 6 is a schematic diagram ii of a method for determining an optimal beam height of a cable-stayed bridge according to an embodiment of the present invention. Taking a certain main span 300m double-tower cable-stayed bridge as an example, the cable spacing is 12m. L=75m at 1/4 section,L 0 =12m; the concrete beam is raised by h=1.2 m, and y t is approximately equal to 0.45. Then there is a relationship of the cross-sectional area ratio beta to the distance y s between the centroids as shown in figure 6. Meanwhile, the relation between y s and the steel consumption of each linear meter of the section is considered, the larger y s is, the smaller the sectional area ratio beta is, namely, the lower chord steel structure is used less under the condition that the upper concrete volume is certain, but the length of the web member is increased, and the steel consumption is increased. Assuming that the upper layer concrete is 10m3/m (which is suitable for cable stayed bridges between 300 and 400m in general) to meet the axial pressure requirement, the steel quantity per linear meter of the inclined struts, web members and lower chord steel structures with different sections y s is calculated (the upper cross beam and the lower parallel connection are not changed along with y s and are not counted). For a 1/4 section, the steel usage is minimized when y s =4.4m, where the cross-sectional area ratio is β= 0.01245. In summary, the final ys takes a value of 4.5m. The beam height is about 6.0m at this time.
The invention provides a method for determining the optimal beam height of a cable-stayed bridge, which is used for calculating the bending rigidity of a combined section by acquiring the elastic modulus of concrete, the elastic modulus of a steel structure, the moment of inertia of upper layer concrete to a transverse shaft, the cross section area of a lower chord steel structure and the distance between the upper layer concrete and a lower chord steel structure-shaped mandrel; respectively calculating the internal force of the concrete slab and the internal force of the steel lower chord according to the rigidity distribution principle, and calculating the stress of the concrete slab and the steel lower chord according to the calculated internal force of the concrete slab and the calculated internal force of the steel lower chord; establishing a cross-sectional area ratio of the concrete slab to the steel bottom chord member according to a preset control condition, wherein the preset control condition is the allowable stress ratio of the concrete slab to the steel bottom chord member; and calculating the internal force representing the section according to the span of the bridge and the distance between the stay cables, drawing a relation curve between the beam height and the section ratio and the steel consumption, and obtaining the optimal beam height by taking the minimum steel consumption as a principle. The main components subjected to longitudinal stress are selected, the rigidity of the combined section is calculated on the basis, then the internal forces of the concrete and the steel structure are calculated according to the rigidity distribution principle, and the stress is calculated. And taking the allowable stress of the material as a control condition, taking the internal force at the representative section of the bridge to obtain the relation between the beam height and the steel consumption, and taking the minimum steel consumption as an index to obtain the optimal beam height. And then the optimal beam height of the steel truss-concrete composite beam is obtained through theoretical calculation from the aspects of mechanical property and economy, and the accuracy of a calculation result is higher. The corresponding optimal beam height can be obtained only by modifying the related parameters of the bridges with different spans, and the method is applicable to the steel truss-concrete composite beam cable-stayed bridges with different spans and has strong applicability. In the calculation process of the optimal beam height of the steel truss-concrete composite beam cable-stayed bridge, the calculation is convenient and quick, a large amount of finite element modeling calculation is not needed, and a large amount of time and labor are saved. Therefore, the technical effects of saving a large amount of time and labor, having higher accuracy of calculation results and strong applicability are achieved.
In order to describe the device for determining the optimal beam height of the cable-stayed bridge in detail, the embodiment describes the method for determining the optimal beam height of the cable-stayed bridge in detail, and based on the same inventive concept, the application also provides a device for determining the optimal beam height of the cable-stayed bridge, and the detail is as shown in the second embodiment.
Example two
Referring to fig. 2, fig. 2 is a block diagram of an apparatus for determining an optimal beam height of a cable-stayed bridge according to an embodiment of the present invention. The second embodiment of the invention provides a device for determining the optimal beam height of a cable-stayed bridge, which comprises a combined section bending rigidity calculation module 200, the method is used for obtaining the elastic modulus of the concrete, the elastic modulus of the steel structure, the moment of inertia of the upper layer concrete to the transverse shaft, the sectional area of the lower chord steel structure and the distance between the upper layer concrete and the lower chord steel structure-shaped mandrel to calculate the bending stiffness of the combined section; the stress calculation module 210 is configured to calculate an internal force of the concrete slab and an internal force of the steel bottom chord according to a rigidity distribution principle, and calculate stresses of the concrete slab and the steel bottom chord according to the calculated internal force of the concrete slab and the calculated internal force of the steel bottom chord; a cross-sectional area ratio equation calculation module 220 for establishing a cross-sectional area ratio equation of the concrete slab to the steel bottom chord according to a preset control condition, the preset control condition being a ratio of allowable stresses of the concrete slab and the steel bottom chord; and the optimal beam height calculation module 230 is used for calculating the internal force representing the section according to the span of the bridge and the spacing between the inclined inhaul cables, drawing a relation curve between the beam height and the section ratio and the steel consumption, and obtaining the optimal beam height by taking the minimum steel consumption as a principle. The apparatus further comprises: and the chord cross-sectional area calculating module is used for calculating the cross-sectional area ratio according to the optimal beam height to obtain the chord cross-sectional area.
The invention provides a device for determining the optimal beam height of a cable-stayed bridge, which is used for calculating the bending rigidity of a combined section by acquiring the elastic modulus of concrete, the elastic modulus of a steel structure, the moment of inertia of upper layer concrete to a transverse shaft, the sectional area of a lower chord steel structure and the distance between the upper layer concrete and a lower chord steel structure-shaped mandrel through a combined section bending rigidity calculation module 200; the stress calculation module 210 calculates the internal force of the concrete slab and the internal force of the steel bottom chord according to the rigidity distribution principle, and calculates the stress of the concrete slab and the steel bottom chord according to the calculated internal force of the concrete slab and the calculated internal force of the steel bottom chord; the cross-sectional area ratio equal calculation module 220 establishes a cross-sectional area ratio equation of the concrete slab to the steel bottom chord according to a preset control condition, the preset control condition being a ratio of allowable stresses of the concrete slab to the steel bottom chord; the optimal beam height calculation module 230 calculates the internal force representing the section according to the span of the bridge and the space between the stay cables, so as to draw a relation curve between the beam height and the section ratio and the steel consumption, and obtains the optimal beam height by taking the minimum steel consumption as a principle. The main components subjected to longitudinal stress are selected, the rigidity of the combined section is calculated on the basis, then the internal forces of the concrete and the steel structure are calculated according to the rigidity distribution principle, and the stress is calculated. And taking the allowable stress of the material as a control condition, taking the internal force at the representative section of the bridge to obtain the relation between the beam height and the steel consumption, and taking the minimum steel consumption as an index to obtain the optimal beam height. And then, from the angles of mechanical property and economy, the optimal beam height of the steel truss-concrete composite beam is obtained through theoretical calculation, and the accuracy of a calculation result is higher. The corresponding optimal beam height can be obtained only by modifying the related parameters of the bridges with different spans, and the method is applicable to the steel truss-concrete composite beam cable-stayed bridges with different spans and has strong applicability. In the calculation process of the optimal beam height of the steel truss-concrete composite beam cable-stayed bridge, the calculation is convenient and quick, a large amount of finite element modeling calculation is not needed, and a large amount of time and labor are saved. Therefore, the technical effects of saving a large amount of time and labor, having higher accuracy of calculation results and strong applicability are achieved.
In order to describe the electronic device for determining the optimal beam height of the cable-stayed bridge in detail, the embodiment of the application describes the method for determining the optimal beam height of the cable-stayed bridge in detail, and based on the same conception, the application also provides the electronic device for determining the optimal beam height of the cable-stayed bridge, and the detail is shown in the third embodiment.
Example III
Referring to fig. 3, fig. 3 is a block diagram of an electronic device for determining an optimal beam height of a cable-stayed bridge according to an embodiment of the present invention. An electronic device for determining an optimal beam height of a cable-stayed bridge according to a third embodiment of the present invention includes a memory 310, a processor 320, and a computer program 311 stored in the memory 310 and executable on the processor 320, wherein the processor 320 implements the following steps when executing the program: the method comprises the steps of obtaining the elastic modulus of concrete, the elastic modulus of a steel structure, the moment of inertia of upper concrete to a transverse shaft, the sectional area of a lower chord steel structure and the distance between the upper concrete and a lower chord steel structure-shaped mandrel, and calculating the bending stiffness of a combined section; respectively calculating the internal force of the concrete slab and the internal force of the steel bottom chord according to the rigidity distribution principle, and calculating the stress of the concrete slab and the steel bottom chord according to the calculated internal force of the concrete slab and the calculated internal force of the steel bottom chord; establishing a cross-sectional area ratio equation of the concrete slab to the steel bottom chord according to a preset control condition, wherein the preset control condition is the ratio of the allowable stress of the concrete slab to the allowable stress of the steel bottom chord; and calculating the internal force representing the section according to the span of the bridge and the distance between the stay cables, drawing a relation curve between the beam height and the section ratio and the steel consumption, and obtaining the optimal beam height by taking the minimum steel consumption as a principle. The processor 320, when executing the program, also performs the following steps: and calculating the cross-sectional area ratio according to the optimal beam height to obtain the chord cross-sectional area.
The invention provides electronic equipment for determining the optimal beam height of a cable-stayed bridge, which is used for calculating the bending stiffness of a combined section by acquiring the elastic modulus of concrete, the elastic modulus of a steel structure, the moment of inertia of upper concrete to a transverse shaft, the sectional area of a lower chord steel structure and the distance between the upper concrete and a lower chord steel structure-shaped mandrel; respectively calculating the internal force of the concrete slab and the internal force of the steel bottom chord according to the rigidity distribution principle, and calculating the stress of the concrete slab and the steel bottom chord according to the calculated internal force of the concrete slab and the calculated internal force of the steel bottom chord; establishing a cross-sectional area ratio equation of the concrete slab to the steel bottom chord according to a preset control condition, wherein the preset control condition is the ratio of the allowable stress of the concrete slab to the allowable stress of the steel bottom chord; and calculating the internal force representing the section according to the span of the bridge and the distance between the stay cables, drawing a relation curve between the beam height and the section ratio and between the beam height and the steel consumption, and obtaining the optimal beam height by taking the minimum steel consumption as a principle. The main components stressed in the longitudinal direction are selected, the rigidity of the combined section is calculated on the basis, then the internal forces of the concrete and the steel structure are calculated according to the rigidity distribution principle, and the stress is calculated. Taking the allowable stress of the material as a control condition, taking the internal force at the representative section of the bridge to obtain the relation between the beam height and the steel consumption, and taking the minimum steel consumption as an index to obtain the optimal beam height. And then, the optimal beam height of the steel truss-concrete composite beam is obtained through theoretical calculation from the angles of mechanical property and economy, and the accuracy of a calculation result is high. The corresponding optimal beam height can be obtained only by modifying the related parameters of the bridges with different spans, and the method is applicable to the steel truss-concrete composite beam cable-stayed bridges with different spans and has strong applicability. In the calculation process of the optimal beam height of the steel truss-concrete composite beam cable-stayed bridge, the calculation is convenient and quick, a large amount of finite element modeling calculation is not needed, and a large amount of time and labor are saved. Therefore, the technical effects of saving a large amount of time and labor, having higher accuracy of calculation results and strong applicability are achieved.
In order to describe in detail the computer readable storage medium for determining the optimal beam height of the cable-stayed bridge provided by the application, the embodiment provides a specific method for determining the optimal beam height of the cable-stayed bridge, and based on the same inventive concept, the application also provides the computer readable storage medium for determining the optimal beam height of the cable-stayed bridge, and the fourth embodiment is described in detail.
Example IV
Referring to fig. 4, fig. 4 is a block diagram of a computer readable storage medium 400 for determining an optimal beam height of a cable-stayed bridge according to an embodiment of the present invention. A fourth embodiment of the present invention provides a computer readable storage medium 400 for determining an optimal beam height of a cable-stayed bridge, having stored thereon a computer program 411, which when executed by a processor, performs the steps of: the method comprises the steps of obtaining the elastic modulus of concrete, the elastic modulus of a steel structure, the moment of inertia of upper concrete to a transverse shaft, the sectional area of a lower chord steel structure and the distance between the upper concrete and a lower chord steel structure-shaped mandrel, and calculating the bending stiffness of a combined section; respectively calculating the internal force of the concrete slab and the internal force of the steel bottom chord according to the rigidity distribution principle, and calculating the stress of the concrete slab and the steel bottom chord according to the calculated internal force of the concrete slab and the calculated internal force of the steel bottom chord; establishing a sectional area ratio equation of the concrete slab to the steel bottom chord according to a preset control condition, wherein the preset control condition is the ratio of allowable stress of the concrete slab to the steel bottom chord; and calculating the internal force representing the section according to the span of the bridge and the distance between the stay cables, drawing a relation curve between the beam height and the section ratio and the steel consumption, and obtaining the optimal beam height by taking the minimum steel consumption as a principle. The program when executed by the processor further performs the steps of: and calculating the sectional area ratio according to the optimal beam height to obtain the chord sectional area.
The invention provides a computer readable storage medium 400 for determining the optimal beam height of a cable-stayed bridge, which is used for calculating the bending stiffness of a combined section by acquiring the elastic modulus of concrete, the elastic modulus of a steel structure, the moment of inertia of upper concrete to a transverse shaft, the sectional area of a lower chord steel structure and the distance between the upper concrete and a lower chord steel structure-shaped mandrel; respectively calculating the internal force of the concrete slab and the internal force of the steel lower chord according to the rigidity distribution principle, and calculating the stress of the concrete slab and the steel lower chord according to the calculated internal force of the concrete slab and the calculated internal force of the steel lower chord; establishing a section area ratio equation of the concrete slab to the steel lower chord according to a preset control condition, wherein the preset control condition is the ratio of the allowable stress of the concrete slab to the allowable stress of the steel lower chord; and calculating the internal force representing the section according to the span of the bridge and the distance between the stay cables, drawing a relation curve between the beam height and the section ratio and the steel consumption, and obtaining the optimal beam height by taking the minimum steel consumption as a principle. The main components stressed longitudinally are selected, the rigidity of the combined section is calculated on the basis, then the internal forces of the concrete and the steel structure are calculated according to the rigidity distribution principle, and the stress is calculated. And taking the allowable stress of the material as a control condition, taking the internal force at the representative section of the bridge to obtain the relation between the beam height and the steel consumption, and taking the minimum steel consumption as an index to obtain the optimal beam height. And then, from the angles of mechanical property and economy, the optimal beam height of the steel truss-concrete composite beam is obtained through theoretical calculation, and the accuracy of a calculation result is higher. The corresponding optimal beam height can be obtained only by modifying the related parameters of the bridges with different spans, and the method is applicable to the steel truss-concrete composite beam cable-stayed bridges with different spans and has strong applicability. In the calculation process of the optimal beam height of the steel truss-concrete composite beam cable-stayed bridge, the calculation is convenient and quick, a large amount of finite element modeling calculation is not needed, and a large amount of time and labor are saved. Therefore, the technical effects of saving a large amount of time and labor, having higher accuracy of calculation results and strong applicability are achieved.
Finally, it should be noted that the above-mentioned embodiments are only for illustrating the technical solution of the present invention, and not for limiting the same, and although the present invention has been described in detail with reference to examples, it should be understood by those skilled in the art that modifications and equivalents may be made to the technical solution of the present invention without departing from the spirit and scope of the technical solution of the present invention, and all such modifications and equivalents are intended to be encompassed in the scope of the claims of the present invention.

Claims (8)

1. A method for determining an optimal beam height for a cable-stayed bridge, the method comprising:
The step of obtaining the elastic modulus of the concrete, the elastic modulus of the steel structure, the moment of inertia of the upper layer concrete to the transverse shaft, the sectional area of the lower chord steel structure and the distance between the upper layer concrete and the lower chord steel structure-shaped mandrel to calculate the bending stiffness of the combined section comprises the following steps: The E c is the elastic modulus of the concrete, the E s is the elastic modulus of the steel structure, the I c is the moment of inertia of the upper concrete to the transverse shaft, the A s is the cross section of the lower chord steel structure, the y s is the distance between the upper concrete and the lower chord steel structure form mandrel, and the B is the bending stiffness of the steel truss-concrete combined section;
Calculating the internal force of the concrete plate and the internal force of the steel bottom chord respectively according to the rigidity distribution principle, and calculating the stress of the concrete plate and the steel bottom chord according to the calculated internal force of the concrete plate and the calculated internal force of the steel bottom chord comprises ：N＝Nc+Ns,Nc＝Nc1+Nc2,Ns＝Ns1+Ns2,Nc1+Ns1＝0,Nc2/Ns2＝EcAc/EsAs,M＝Mc+Ns1ys2-Nc1ys1＝Mc+Ns1ys, Wherein N is the total cross-sectional axial force, M is the total cross-sectional bending moment, M c is the bending moment of the upper concrete, N c is the total axial force of the upper concrete, N c1 is the axial force generated by the bending moment of the upper concrete, N c2 is the axial force generated by the total axial force of the upper concrete, N s is the total axial force of the lower chord steel structure, N s1 is the axial force generated by the bending moment of the lower chord steel structure, and N s2 is the axial force generated by the total axial force of the lower chord steel structure; the N c1 is the upper concrete axial force, the y s1 is the distance between the upper concrete axial shaft and the combined cross-section conversion axial shaft, the N s1 is the lower chord steel structural axial force, and the y s2 is the distance between the lower chord steel structural axial shaft and the combined cross-section conversion axial shaft;
the upper edge stress of the upper layer concrete section can be pushed out according to the internal force:
The stress of the lower chord steel structure is as follows: - η = E s/Ec, - β = a s/Ac, wherein η is the steel to concrete ratio to the spring to contact, β is the area ratio of the lower chord steel structure to the upper concrete;
the upper layer concrete can be equivalently rectangular in section Then H is the section height of the concrete beam, A c is the section area of the upper layer concrete, and y t is the distance between the upper edge of the upper layer concrete and the centroid of the upper layer concrete;
establishing a cross-sectional area ratio equation of the concrete slab to the steel bottom chord according to a preset control condition, wherein the preset control condition is the ratio of the allowable stress of the concrete slab to the allowable stress of the steel bottom chord;
And calculating the internal force representing the section according to the span of the bridge and the distance between the stay cables, drawing a relation curve between the beam height and the section ratio and the steel consumption, and obtaining the optimal beam height by taking the minimum steel consumption as a principle.
2. The method for determining an optimal beam height for a cable-stayed bridge according to claim 1, wherein the method further comprises:
And calculating the sectional area ratio according to the optimal beam height to obtain the chord sectional area.
3. An apparatus for determining an optimal beam height for a cable-stayed bridge, the apparatus comprising:
The combined section bending rigidity calculation module is used for obtaining the elastic modulus of concrete, the elastic modulus of a steel structure, the moment of inertia of upper concrete to a transverse shaft, the sectional area of a lower chord steel structure and the distance between the upper concrete and a lower chord steel structure-shaped mandrel, and calculating the combined section bending rigidity comprises the following steps: The E c is the elastic modulus of the concrete, the E s is the elastic modulus of the steel structure, the I c is the moment of inertia of the upper concrete to the transverse shaft, the A s is the cross section of the lower chord steel structure, the y s is the distance between the upper concrete and the lower chord steel structure form mandrel, and the B is the bending stiffness of the steel truss-concrete combined section;
The stress calculation module is used for respectively calculating the internal force of the concrete slab and the internal force of the steel bottom chord according to the rigidity distribution principle, and calculating the stress of the concrete slab and the steel bottom chord according to the calculated internal force of the concrete slab and the calculated internal force of the steel bottom chord comprises ：N＝Nc+Ns,Nc＝Nc1+Nc2,Ns＝Ns1+Ns2,Nc1+Ns1＝0,Nc2/Ns2＝EsAs,M＝Mc+Ns1ys2-Nc1ys1＝Mc+Ns1ys, Wherein N is the total cross-sectional axial force, M is the total cross-sectional bending moment, M c is the bending moment of the upper concrete, N c is the total axial force of the upper concrete, N c1 is the axial force generated by the bending moment of the upper concrete, N c2 is the axial force generated by the total axial force of the upper concrete, N s is the total axial force of the lower chord steel structure, N s1 is the axial force generated by the bending moment of the lower chord steel structure, and N s2 is the axial force generated by the total axial force of the lower chord steel structure; the N c1 is the upper concrete axial force, the y s1 is the distance between the upper concrete axial shaft and the combined cross-section conversion axial shaft, the N s1 is the lower chord steel structural axial force, and the y s2 is the distance between the lower chord steel structural axial shaft and the combined cross-section conversion axial shaft;
the upper edge stress of the upper layer concrete section can be pushed out according to the internal force:
The stress of the lower chord steel structure is as follows: - η = E s/Ec, - β = a s/Ac, wherein η is the steel to concrete ratio to the spring to contact, β is the area ratio of the lower chord steel structure to the upper concrete;
the upper layer concrete can be equivalently rectangular in section Then H is the section height of the concrete beam, A c is the section area of the upper layer concrete, and y t is the distance between the upper edge of the upper layer concrete and the centroid of the upper layer concrete;
The sectional area ratio equation calculating module is used for establishing a sectional area ratio equation of the concrete slab to the steel bottom chord according to a preset control condition, wherein the preset control condition is the ratio of the allowable stress of the concrete slab to the allowable stress of the steel bottom chord;
and the optimal beam height calculation module is used for calculating the internal force representing the section according to the span of the bridge and the distance between the stay cables, drawing a relation curve between the beam height and the section ratio and between the beam height and the steel consumption, and obtaining the optimal beam height by taking the minimum steel consumption as a principle.
4. An apparatus for determining an optimal beam height for a cable-stayed bridge according to claim 3, wherein the apparatus further comprises:
and the chord cross-sectional area calculating module is used for calculating the cross-sectional area ratio according to the optimal beam height to obtain the chord cross-sectional area.
5. An electronic device for determining an optimal beam height of a cable-stayed bridge, comprising a memory, a processor and a computer program stored on the memory and executable on the processor, characterized in that the processor implements the following steps when executing the program:
The step of obtaining the elastic modulus of the concrete, the elastic modulus of the steel structure, the moment of inertia of the upper layer concrete to the transverse shaft, the sectional area of the lower chord steel structure and the distance between the upper layer concrete and the lower chord steel structure-shaped mandrel to calculate the bending stiffness of the combined section comprises the following steps: The E c is the elastic modulus of the concrete, the E s is the elastic modulus of the steel structure, the I c is the moment of inertia of the upper concrete to the transverse shaft, the A s is the cross section of the lower chord steel structure, the y s is the distance between the upper concrete and the lower chord steel structure form mandrel, and the B is the bending stiffness of the steel truss-concrete combined section;
Calculating the internal force of the concrete plate and the internal force of the steel bottom chord respectively according to the rigidity distribution principle, and calculating the stress of the concrete plate and the steel bottom chord according to the calculated internal force of the concrete plate and the calculated internal force of the steel bottom chord comprises ：N＝Nc+Ns,Nc＝Nc1+Nc2,Ns＝Ns1+Ns2,Nc1+Ns1＝0,Nc2/Ns2＝EcAc/EsAs,M＝Mc+Ns1ys2-Nc1ys1＝Mc+Ns1ys, Wherein N is the total cross-sectional axial force, M is the total cross-sectional bending moment, M c is the bending moment of the upper concrete, N c is the total axial force of the upper concrete, N c1 is the axial force generated by the bending moment of the upper concrete, N c2 is the axial force generated by the total axial force of the upper concrete, N s is the total axial force of the lower chord steel structure, N s1 is the axial force generated by the bending moment of the lower chord steel structure, and N s2 is the axial force generated by the total axial force of the lower chord steel structure; the N c1 is the upper concrete axial force, the y s1 is the distance between the upper concrete axial shaft and the combined cross-section conversion axial shaft, the N s1 is the lower chord steel structural axial force, and the y s2 is the distance between the lower chord steel structural axial shaft and the combined cross-section conversion axial shaft;
the upper edge stress of the upper layer concrete section can be pushed out according to the internal force:
The stress of the lower chord steel structure is as follows: - η = E s/Ec, - β = a s/Ac, wherein η is the steel to concrete ratio to the spring to contact, β is the area ratio of the lower chord steel structure to the upper concrete;
the upper layer concrete can be equivalently rectangular in section Then H is the section height of the concrete beam, A c is the section area of the upper layer concrete, and y t is the distance between the upper edge of the upper layer concrete and the centroid of the upper layer concrete;
establishing a cross-sectional area ratio equation of the concrete slab to the steel bottom chord according to a preset control condition, wherein the preset control condition is the ratio of the allowable stress of the concrete slab to the allowable stress of the steel bottom chord;
And calculating the internal force representing the section according to the span of the bridge and the distance between the stay cables, drawing a relation curve between the beam height and the section ratio and the steel consumption, and obtaining the optimal beam height by taking the minimum steel consumption as a principle.
6. The electronic device for determining an optimal beam height for a cable-stayed bridge of claim 5, wherein the processor further implements the steps of:
And calculating the sectional area ratio according to the optimal beam height to obtain the chord sectional area.
7. A computer readable storage medium for determining an optimal beam height of a cable-stayed bridge, having stored thereon a computer program, characterized in that the program, when executed by a processor, realizes the steps of:
The step of obtaining the elastic modulus of the concrete, the elastic modulus of the steel structure, the moment of inertia of the upper layer concrete to the transverse shaft, the sectional area of the lower chord steel structure and the distance between the upper layer concrete and the lower chord steel structure-shaped mandrel to calculate the bending stiffness of the combined section comprises the following steps: The E c is the elastic modulus of the concrete, the E s is the elastic modulus of the steel structure, the I c is the moment of inertia of the upper concrete to the transverse shaft, the A s is the cross section of the lower chord steel structure, the y s is the distance between the upper concrete and the lower chord steel structure form mandrel, and the B is the bending stiffness of the steel truss-concrete combined section;
Calculating the internal force of the concrete plate and the internal force of the steel bottom chord respectively according to the rigidity distribution principle, and calculating the stress of the concrete plate and the steel bottom chord according to the calculated internal force of the concrete plate and the calculated internal force of the steel bottom chord comprises ：N＝Nc+Ns,Nc＝Nc1+Nc2,Ns＝Ns1+Ns2,Nc1+Ns1＝0,Nc2/Ns2＝EcAc/EsAs,M＝Mc+Ns1ys2-Nc1ys1＝Mc+Ns1ys, Wherein N is the total cross-sectional axial force, M is the total cross-sectional bending moment, M c is the bending moment of the upper concrete, N c is the total axial force of the upper concrete, N c1 is the axial force generated by the bending moment of the upper concrete, N c2 is the axial force generated by the total axial force of the upper concrete, N s is the total axial force of the lower chord steel structure, N s1 is the axial force generated by the bending moment of the lower chord steel structure, and N s2 is the axial force generated by the total axial force of the lower chord steel structure; the N c1 is the upper concrete axial force, the y s1 is the distance between the upper concrete axial shaft and the combined cross-section conversion axial shaft, the N s1 is the lower chord steel structural axial force, and the y s2 is the distance between the lower chord steel structural axial shaft and the combined cross-section conversion axial shaft;
the upper edge stress of the upper layer concrete section can be pushed out according to the internal force:
The stress of the lower chord steel structure is as follows: - η = E s/Ec, - β = a s/Ac, wherein η is the steel to concrete ratio to the spring to contact, β is the area ratio of the lower chord steel structure to the upper concrete;
the upper layer concrete can be equivalently rectangular in section Then H is the section height of the concrete beam, A c is the section area of the upper layer concrete, and y t is the distance between the upper edge of the upper layer concrete and the centroid of the upper layer concrete;
establishing a cross-sectional area ratio equation of the concrete slab to the steel bottom chord according to a preset control condition, wherein the preset control condition is the ratio of the allowable stress of the concrete slab to the allowable stress of the steel bottom chord;
And calculating the internal force representing the section according to the span of the bridge and the distance between the stay cables, drawing a relation curve between the beam height and the section ratio and the steel consumption, and obtaining the optimal beam height by taking the minimum steel consumption as a principle.
8. The computer-readable storage medium for determining an optimal beam height for a cable-stayed bridge of claim 7, wherein the program when executed by the processor further implements the steps of:
And calculating the sectional area ratio according to the optimal beam height to obtain the chord sectional area.
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CN107145664A (en) * 2017-05-04 2017-09-08 中铁二院工程集团有限责任公司 A kind of method that Long Span Railway cable-stayed bridge rigidity is controlled by suspension cable
CN110147622A (en) * 2019-05-23 2019-08-20 重庆交通大学 Determine the method that full assembled steel-mixes the fracture width of composite beam bridge

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WO2011005009A2 (en) * 2009-07-07 2011-01-13 주식회사 삼현피에프 Upper part structure for a continuous bridge, which efficiently supports negative moment and has improved constructability, and method for constructing same
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CN107145664A (en) * 2017-05-04 2017-09-08 中铁二院工程集团有限责任公司 A kind of method that Long Span Railway cable-stayed bridge rigidity is controlled by suspension cable
CN110147622A (en) * 2019-05-23 2019-08-20 重庆交通大学 Determine the method that full assembled steel-mixes the fracture width of composite beam bridge

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