Method and device for calculating cross-sectional area of main cable of cable-stayed suspension cable cooperation system bridge

Abstract

This invention relates to a method and apparatus for calculating the cross-sectional area of ​​the main cable of a cable-stayed suspension bridge. The method comprises the following steps: treating the main cable of the cable-stayed suspension bridge as a segmented parabola and calculating the horizontal component force of the main cable based on the elasticity theory of the segmented parabola; applying the moment balance equation to the theoretical vertex of the main cable and combining it with the horizontal component force to determine the maximum tension of the main cable; and determining the minimum cross-sectional area of ​​the main cable based on the principle that the maximum tension within the main cable does not exceed the bearing capacity of the main cable. This method effectively simplifies the calculation of the main cable cross-sectional area.

Description

TECHNICAL FIELD

[0001] The present application relates to the technical field of bridge engineering, in particular to a calculation method and device for main cable cross-sectional area of cable-stayed suspension cooperative system bridge. BACKGROUND

[0002] The main span of the cable-stayed suspension cooperative system bridge is usually composed of a cable-stayed section close to the main tower, a pure suspension section in the middle, and a cable-stayed-suspension intersection section. There is no sling on the main cable of the cable-stayed section, and there are slings in the pure suspension section and the intersection section, but the load intensity of the slings is different. Therefore, the calculation of the maximum tension of the main cable of the cable-stayed suspension cooperative system bridge is much more complex than that of the suspension bridge.

[0003] The cross-sectional area of the main cable of the cable-stayed suspension cooperative system bridge needs to be determined according to the maximum tension of the main cable. However, when the cross-sectional area of the main cable changes, the load intensity of the main cable itself also changes, resulting in a change in the maximum tension of the main cable.

[0004] In related technologies, when the finite element method is used to determine the cross-sectional area of the main cable, a trial method needs to be used, that is, the cross-sectional area of the main cable is changed once, the shape of the main cable is found again, and the stress analysis of the full-bridge model is performed to determine the maximum tension of the main cable. Then, the new cross-sectional area of the main cable is calculated. When the calculated cross-sectional area of the main cable is close to the given area, the reasonable cross-sectional area of the main cable is found. Therefore, the process of calculating the cross-sectional area of the main cable using the finite element method is very tedious and time-consuming. SUMMARY

[0005] The embodiments of the present application provide a calculation method and device for the cross-sectional area of the main cable of the cable-stayed suspension cooperative system bridge, which effectively simplifies the calculation of the cross-sectional area of the main cable.

[0006] The embodiments of the present application provide a calculation method for the cross-sectional area of the main cable of the cable-stayed suspension cooperative system bridge, which is characterized by comprising the following steps:

[0007] The main cable of the cable-stayed suspension cooperative system bridge is regarded as a segmented parabola, and the horizontal component force of the main cable is calculated according to the elastic theory of the segmented parabola;

[0008] The moment balance equation is applied to the theoretical vertex of the main cable, and the maximum tension of the main cable is determined in combination with the horizontal component force of the main cable;

[0009] The minimum cross-sectional area of the main cable is determined according to the principle that the maximum tension in the main cable is not greater than the bearing capacity of the main cable.

[0010] In some embodiments, the main cable of the cable-stayed suspension cooperative system bridge is regarded as a segmented parabola, and the horizontal component force of the main cable is calculated according to the elastic theory of the segmented parabola, which comprises the following steps:

[0011] A coordinate system xy is established with the midpoint of the connecting line of the theoretical intersection points of the main cables at the top of the two towers as the origin O, and the x-axis is arranged along the longitudinal bridge direction and the y-axis is arranged along the vertical bridge direction;

[0012] The main cable is divided into left and right sections at the middle of the main span, and for the right section, an angle between a tension direction at the middle of the main cable and the x-axis and a moment equation of the tension at the middle of the main cable on a right theoretical vertex of the main cable are determined;

[0013] The horizontal component of the main cable is calculated according to the angle between the tension direction at the middle of the main cable and the x-axis and the moment equation of the tension at the middle of the main cable on the right theoretical vertex of the main cable;

[0014] The angle between the tension direction at the middle of the main cable and the x-axis is determined according to a first formula, and the first formula comprises: wherein,

[0015] α is the angle to be solved, L is the main span, and C is the height difference between the end points of the main cable at the two towers;

[0016] The moment equation of the tension at the middle of the main cable on the right theoretical vertex of the main cable is: -T mid ·fcosα=-Hf, wherein T mid is the tension at the middle of the main cable, f is the sag of the main cable of the main span, and H is the horizontal component of the main cable.

[0017] In some embodiments, the horizontal component of the main cable is calculated according to the angle between the tension direction at the middle of the main cable and the x-axis and the moment equation of the tension at the middle of the main cable on the right theoretical vertex of the main cable, comprising the steps of:

[0018] The horizontal component of the main cable is calculated based on a second formula, and the second formula is: wherein,

[0019] q d is the self-load intensity of the main cable, q1 is the dead load intensity acting on the main cable in the pure suspension section, q2 is the dead load intensity acting on the main cable in the cross section, p is the live load intensity of the main span, S is the action length of the live load intensity of the main span when arranged symmetrically about the middle of the span, L xd is the length of the pure suspension section, L jc is the length of the cross section, and L xl is the length of the cable-stayed section.

[0020] In some embodiments, the maximum tension of the main cable is determined by applying a moment balance equation to the theoretical vertex of the main cable and combining the horizontal component of the main cable, comprising the steps of:

[0021] The vertical component of the main cable at the highest point is determined according to a third formula;

[0022] The maximum tension of the main cable is calculated based on the vertical component and the horizontal component of the main cable;

[0023] The third formula is:

[0024] wherein V max is the vertical component of the force;

[0025] The maximum tension of the main cable is determined according to a fourth formula, which is:

[0026] wherein T is the maximum tension of the main cable.

[0027] In some embodiments, the minimum cross-sectional area of the main cable is determined according to the principle that the maximum tension in the main cable is not greater than the load-bearing capacity of the main cable, which comprises the steps of:

[0028] The minimum cross-sectional area of the main cable is determined according to a fifth formula, which comprises:

[0029]

[0030]

[0031]

[0032] c = t1 2 +t2 2 ,

[0033]

[0034] wherein a, b, c, t1, t2 are intermediate quantities, γ cb is the equivalent bulk weight of the main cable, and [σ] is the allowable stress of the main cable.

[0035] In some embodiments, if the main cable is a spatial main cable, a and t2 in the fifth formula are determined according to a sixth formula, which comprises:

[0036]

[0037]

[0038] wherein

[0039] θ is the inclination of the main cable, (y b , z b ) is the coordinate of the upper anchor point of the cable beam, and (y t , z t ) is the coordinate of the midpoint of the line connecting the two theoretical apexes of the main cable.

[0040] In another aspect, the embodiments of the present application provide a device for calculating the cross-sectional area of a main cable of a cable-stayed suspension bridge, which is characterized in that it comprises:

[0041] a main cable horizontal force calculation module configured to regard the main cable of the cable-stayed suspension cooperative system bridge as a segmented parabola and calculate the main cable horizontal force according to the elastic theory of the segmented parabola;

[0042] a main cable maximum tension calculation module configured to apply a moment balance equation to a theoretical vertex of the main cable and determine the main cable maximum tension in combination with the main cable horizontal force;

[0043] a main cable minimum cross-sectional area calculation module configured to determine the main cable minimum cross-sectional area according to the principle that the main cable internal maximum tension is not greater than the main cable carrying capacity.

[0044] In some embodiments, the main cable horizontal force calculation module is further configured to:

[0045] establish a coordinate system xy with a midpoint of a line connecting two-tower top main cable theoretical intersection points as an origin O and an x-axis arranged along a longitudinal bridge direction and a y-axis arranged along a vertical bridge direction;

[0046] divide the main cable into left and right segments at the middle of the main span, and for the right segment, determine an angle between a tension direction at the middle of the main span and the x-axis and a moment equation of the tension at the middle of the main span on a right theoretical vertex of the main cable;

[0047] calculate the main cable horizontal force according to the angle between the tension direction at the middle of the main span and the x-axis and the moment equation of the tension at the middle of the main span on the right theoretical vertex of the main cable;

[0048] the angle between the tension direction at the middle of the main span and the x-axis is determined according to a first formula, and the first formula includes: wherein,

[0049] α is the angle to be solved, L is a main span length, and C is a height difference between end points of the main cable at the two side main towers;

[0050] the moment equation of the tension at the middle of the main span on the right theoretical vertex of the main cable is: -T mid ·fcosα=-Hf, where T mid is the tension at the middle of the main span, f is a sag of the main span of the main cable, and H is the main cable horizontal force;

[0051] the main cable horizontal force is calculated based on a second formula, and the second formula is: wherein,

[0052] q d is a main cable self-load intensity, q1 is a dead load intensity acting on the main cable in a pure suspension segment, q2 is a dead load intensity acting on the main cable in a crossing segment, p is a live load intensity of the main span, S is an action length of the live load intensity of the main span when arranged symmetrically about the middle of the span, L xd is a pure suspension segment length, L jc is a crossing segment length, and L xl is a cable-stayed segment length.

[0053] In some embodiments, the main cable maximum tension calculation module is further configured to:

[0054] determine a vertical component of the main cable at the highest point according to a third formula;

[0055] calculate the main cable maximum tension based on the vertical component and a horizontal component of the main cable;

[0056] the third formula is:

[0057] wherein V max is the vertical component;

[0058] the main cable maximum tension is determined according to a fourth formula, and the fourth formula is:

[0059] wherein T is the main cable maximum tension.

[0060] In some embodiments, the main cable minimum cross-sectional area calculation module is further configured to:

[0061] determine the main cable minimum cross-sectional area according to a fifth formula, and the fifth formula includes:

[0062]

[0063]

[0064]

[0065] c = t1 2 + t2 2 ,

[0066]

[0067] wherein a, b, c, t1, t2 are intermediate quantities, γ cb is an equivalent bulk weight of the main cable, and [σ] is an allowable stress of the main cable;

[0068] if the main cable is a spatial main cable, a and t2 in the fifth formula are determined according to a sixth formula, and the sixth formula includes:

[0069]

[0070]

[0071] wherein,

[0072] θ is a transverse plane inclination angle of the main cable, (y b , zb ) is the coordinate of the anchor point on the mid-hoisting cable beam, (y t ,z t ) is the coordinate of the midpoint of the line connecting the two theoretical vertices of the main cable. The embodiment of the application provides a calculation method for the cross-sectional area of the main cable of a cable-stayed suspension cable cooperative system bridge, and the beneficial effects thereof include: the internal force of the main cable can be quickly determined without finite element calculation, the specific cross-sectional size is further determined by first determining the cross-sectional size of the main cable, the cross-sectional area of the main cable can be directly calculated, the process of multiple trial calculations through finite elements is avoided, the calculation work is simplified, and the efficiency is greatly improved. BRIEF DESCRIPTION OF DRAWINGS

[0073] In order to more clearly illustrate the technical solutions in the embodiments of the application, the drawings needed to be used in the embodiment description will be briefly introduced as follows. Obviously, the drawings in the following description are only some embodiments of the application, and other drawings can be obtained by those skilled in the art without creative effort on the basis of these drawings.

[0074] Figure 1 A flowchart of the calculation method for the cross-sectional area of the main cable of a cable-stayed suspension cable cooperative system bridge provided by the embodiment of the application is shown in the figure.

[0075] Figure 2 A structure segmentation diagram of a cable-stayed suspension cable cooperative system bridge provided by the embodiment of the application is shown in the figure.

[0076] Figure 3 A main cable calculation diagram provided by the embodiment of the application is shown in the figure.

[0077] Figure 4 A spatial main cable structure diagram provided by the embodiment of the application is shown in the figure.

[0078] Figure 5 A structural block diagram of a calculation device for the cross-sectional area of the main cable of a cable-stayed suspension cable cooperative system bridge provided by the embodiment of the application is shown in the figure.

[0079] BRIEF DESCRIPTION OF DRAWINGS: 1, main cable; 2, sling; 3, main beam; 4, stay cable; 5, main tower. DETAILED DESCRIPTION

[0080] In order to make the purpose, technical solutions and advantages of the embodiments of the application clearer, the technical solutions in the embodiments of the application will be described clearly and completely in combination with the drawings in the embodiments of the application. Obviously, the described embodiments are part of the embodiments of the application, rather than all the embodiments. Based on the embodiments in the application, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of the application.

[0081] As Figure 1 ,2 As shown in the embodiments of the present application, a method for calculating the cross-sectional area of the main cable of a cable-stayed suspension cooperative system bridge is provided, which comprises:

[0082] S100: regarding the main cable of the cable-stayed suspension cooperative system bridge as a segmented parabola and calculating the horizontal component of the main cable according to the elastic theory of the segmented parabola;

[0083] S200: applying a moment balance equation to the theoretical vertex of the main cable and determining the maximum tension of the main cable in combination with the horizontal component of the main cable;

[0084] S300: determining the minimum cross-sectional area of the main cable according to the principle that the maximum tension in the main cable is not greater than the bearing capacity of the main cable.

[0085] According to the embodiments of the present application, the maximum tension of the main cable is determined according to the horizontal component calculation formula of the main cable, and the minimum cross-sectional area of the main cable is further directly determined, so that the internal force of the main cable can be quickly determined without finite element calculation, and the method is particularly suitable for overall calculation in the scheme design stage. Meanwhile, by directly solving the cross-sectional area of the main cable, the process of multiple trial calculations through finite elements is avoided, the calculation work is simplified, and the efficiency is greatly improved.

[0086] As shown in the embodiments of the present application, Figure 2 , 3 in some embodiments, S100 comprises the following steps:

[0087] S110: establishing a coordinate system xy with the midpoint of the connecting line of the theoretical intersection points of the two tower top main cables as the origin O, and setting the x-axis along the longitudinal bridge direction and the y-axis along the vertical bridge direction;

[0088] S120: dividing the main cable into left and right sections at the middle of the main span, and determining the angle between the tension direction at the middle main cable and the x-axis and the moment equation of the tension at the middle main cable on the right theoretical vertex of the main cable;

[0089] S130: calculating the horizontal component of the main cable according to the angle between the tension direction at the middle main cable and the x-axis and the moment equation of the tension at the middle main cable on the right theoretical vertex of the main cable;

[0090] The angle between the tension direction at the middle main cable and the x-axis is determined according to a first formula, and the first formula comprises: wherein,

[0091] α is the angle to be solved, L is the main span, and C is the height difference between the end points of the main cables at the two side main towers.

[0092] The moment equation of the tension at the middle main cable on the right theoretical vertex of the main cable is: -T mid ·fcosα=-Hf, wherein T mid is the tension at the middle main cable, f is the sag of the main span main cable, and H is the horizontal component of the main cable.

[0093] In some embodiments, S130 comprises the steps of:

[0094] calculating the horizontal component of the main cable based on a second formula, the second formula being: wherein,

[0095] q d is the self-load intensity of the main cable, q1 is the dead load intensity acting on the main cable in the pure suspension section, q2 is the dead load intensity acting on the main cable in the crossing section, p is the live load intensity of the main span, S is the action length of the live load intensity of the main span when arranged symmetrically about the midspan, L xd is the length of the pure suspension section, L jc is the length of the crossing section, L xl is the length of the cable-stayed section.

[0096] In some embodiments, S200 comprises the steps of:

[0097] S210: determining the vertical component of the main cable at the highest point according to a third formula;

[0098] S220: calculating the maximum tension of the main cable based on the vertical component and the horizontal component of the main cable;

[0099] the third formula being:

[0100] wherein, V max is the vertical component;

[0101] the maximum tension of the main cable is determined according to a fourth formula, the fourth formula being:

[0102] wherein, T is the maximum tension of the main cable.

[0103] In some embodiments, S300 comprises the steps of:

[0104] determining the minimum cross-sectional area of the main cable according to a fifth formula, the fifth formula comprising:

[0105]

[0106]

[0107]

[0108] c = t1 2 + t2 2 ,

[0109]

[0110] wherein a, b, c, t1, t2 are intermediate quantities, γ cb is the equivalent weight of the main cable, and [σ] is the allowable stress of the main cable.

[0111] As shown in Figure 4 , if the main cable is a spatial main cable, a and t2 in the fifth formula are determined according to a sixth formula, and the sixth formula includes:

[0112]

[0113]

[0114] wherein,

[0115] θ is the horizontal plane inclination angle of the main cable, (y b , z b ) is the coordinate of the upper anchor point of the mid-span cable beam, (y t , z t ) is the coordinate of the midpoint of the line connecting the two theoretical apexes of the main cable.

[0116] In a specific embodiment, as shown in Figure 2 and Figure 3 , a calculation method for determining the cross-sectional area of the main cable of a cable-stayed suspension cooperative system bridge is provided, which includes the following steps:

[0117] S1: the span L of the main span of the cable-stayed suspension cooperative system bridge, the sag f of the main cable of the main span, the height difference C of the end points of the main cable at the two side towers, the equivalent weight γ cb of the main cable, the allowable stress [σ] of the main cable, the length L xd of the pure suspension section, the length L jc of the intersection section, the length L xl of the cable-stayed section, the dead load intensity q1 acting on the main cable in the pure suspension section, the dead load intensity q2 acting on the main cable in the intersection section, the live load intensity p of the main span, and the action length S of the live load intensity when symmetrically arranged across the mid-span are determined.

[0118] S2: assuming that the main cable is a segmented parabola, the horizontal component of the main cable is calculated according to the elastic theory. The coordinate system xy is set with the origin O at the midpoint of the line connecting the theoretical intersection points of the main cable at the two tower tops, the x-axis is along the longitudinal bridge direction and positive from left to right, and the y-axis is along the vertical bridge direction and positive from top to bottom. The main cable is divided into left and right sections at the mid-span, and the right half section is analyzed. The angle α between the direction of the tension T mid at the mid-span of the main cable (parallel to the line connecting the two theoretical apexes of the cable) and the x-axis is The moment of the tension at the mid-span of the main cable on the right theoretical apex of the main cable is -T mid ·fcosα=-Hf. The moment balance equation is applied to the right theoretical apex of the main cable to obtain the horizontal component of the main cable wherein qd The load intensity of the main cable itself is H, and H is the horizontal component of the main cable.

[0119] S3: Calculate the minimum cross-sectional area of ​​the main cable. The vertical component of the force on the main cable at the highest point is... The maximum tensile force of the main cable is The load intensity q of the main cable itself d =γ cb A, the main cable bearing capacity R = [σ]A. Based on the principle that the maximum tensile force in the main cable should not exceed the main cable bearing capacity T ≤ R, the relationship for the main cable cross-sectional area A is: aA 2 Given that +bA+c≤0, solving the quadratic equation gives the minimum cross-sectional area of ​​the main cable. In the formula,

[0120]

[0121]

[0122] c = t1 2 +t2 2 ,

[0123]

[0124]

[0125] like Figure 4 As shown, in some embodiments, the main cable is a space main cable, and the coordinates of the midpoint of the line connecting the two theoretical vertices of the main cable are (y... t , z t The coordinates of the anchor point on the mid-span suspension beam are (y b , z b If the angle of inclination of the main cable is 1, then the angle of inclination of the main cable's vertical plane is at this time The z-axis is set along the transverse direction of the bridge, and other parameters in the formula for calculating the minimum cross-sectional area of ​​the main cable remain unchanged.

[0126] In one specific embodiment, L = 1488m, C = 0m, γ cb =93kN / m 3 , f=228.923m, [σ]=784MPa, L xd =452m, L jc =112m, L xl =406m, q1=147.5kN / m, q2=295kN / m, p=100kN / m, S=550m, θ=2.606°. Calculated using the proposed formula: t1=283386, t2=109144, a=-5.9722×10 11 b = 7.8830 × 1010 , c = 9.2220 x 10 10 , A = 0.4645 m 2 , H = 333983 kN, T = 351294 kN. After multiple modifications of the main cable cross-sectional area in the finite element model and iterative calculation, the minimum cross-sectional area is A = 0.4506 m 2 , T = 353261 kN. The minimum cross-sectional area of the main cable calculated by the formula is 3% larger than the finite element calculation value, indicating that the proposed formula is safe and has relatively high accuracy.

[0127] On the other hand, as Figure 5 indicated, the embodiment of the present application also provides a calculation device for the main cable cross-sectional area of a cable-stayed suspension cable cooperative system bridge, which comprises:

[0128] a main cable horizontal component calculation module, which is used for regarding the main cable of the cable-stayed suspension cable cooperative system bridge as a segmented parabola and calculating the main cable horizontal component according to the elastic theory of the segmented parabola;

[0129] a main cable maximum tension calculation module, which is used for applying a moment balance equation to the main cable theoretical vertex and determining the main cable maximum tension in combination with the main cable horizontal component;

[0130] a main cable minimum cross-sectional area calculation module, which is used for determining the main cable minimum cross-sectional area according to the principle that the main cable internal maximum tension is not greater than the main cable bearing capacity.

[0131] In some embodiments, the main cable horizontal component calculation module is also used for:

[0132] establishing a coordinate system xy with the midpoint of the connecting line of the two-tower top main cable theoretical intersection points as the origin O, and the x-axis is arranged along the longitudinal bridge direction and the y-axis is arranged along the vertical bridge direction;

[0133] dividing the main cable into left and right segments at the middle of the main span, and determining the angle between the tension direction at the middle main cable and the x-axis and the moment equation of the tension at the middle main cable on the main cable right theoretical vertex for the right segment;

[0134] calculating the main cable horizontal component according to the angle between the tension direction at the middle main cable and the x-axis and the moment equation of the tension at the middle main cable on the main cable right theoretical vertex;

[0135] the angle between the tension direction at the middle main cable and the x-axis is determined according to a first formula, and the first formula comprises: wherein,

[0136] α is the angle to be solved, L is the main span, and C is the height difference of the main cable end points at the two side main towers;

[0137] the moment equation of the tension at the middle main cable on the main cable right theoretical vertex is: -T mid• fcos a = -Hf, where T mid is the tension at the midspan of the main cable, f is the sag of the main cable, and H is the horizontal component of the main cable;

[0138] calculating the horizontal component of the main cable based on a second formula, the second formula being: wherein,

[0139] q d is the self-load intensity of the main cable, q1 is the dead load intensity acting on the main cable in the pure suspension segment, q2 is the dead load intensity acting on the main cable in the cross segment, p is the live load intensity of the main span, S is the action length of the live load intensity of the main span when symmetrically arranged about the midspan, and L xd is the length of the pure suspension segment, jc is the length of the cross segment, xl is the length of the cable-stayed segment.

[0140] In some embodiments, the main cable maximum tension calculation module is further configured to:

[0141] determining the vertical component of the main cable at the highest point according to a third formula;

[0142] calculating the main cable maximum tension based on the vertical component and the horizontal component of the main cable;

[0143] the third formula being:

[0144] wherein V max is the vertical component of the main cable;

[0145] the main cable maximum tension is determined according to a fourth formula, the fourth formula being:

[0146] wherein T is the main cable maximum tension.

[0147] In some embodiments, the main cable minimum cross-sectional area calculation module is further configured to:

[0148] determining the main cable minimum cross-sectional area according to a fifth formula, the fifth formula comprising:

[0149]

[0150]

[0151]

[0152] c = t1 2 + t2 2 ,

[0153]

[0154] wherein a, b, c, t1, t2 are intermediate quantities, γ cb is the equivalent weight density of the main cable, and [σ] is the allowable stress of the main cable.

[0155] In some embodiments, if the main cable is a spatial main cable, a and t2 in the fifth formula are determined according to a sixth formula, and the sixth formula comprises:

[0156]

[0157]

[0158] wherein,

[0159] θ is the transverse plane inclination angle of the main cable, (y b ,z b ) is the coordinate of the upper anchor point on the mid-span cable beam, and (y t ,z t ) is the coordinate of the midpoint of the line connecting the two theoretical apexes of the main cable.

[0160] In the description of the present application, it should be noted that the terms "upper", "lower", and the like indicate the orientation or positional relationship shown in the drawings, and are only for the convenience of describing the present application and simplifying the description, and do not indicate or imply that the devices or elements referred to must have a particular orientation, be constructed and operated in a particular orientation, and therefore cannot be understood as a limitation on the present application. Unless otherwise explicitly specified and limited, the terms "mounting", "connection", "connection" should be understood broadly, for example, it can be a fixed connection, or a detachable connection, or an integral connection; it can be a mechanical connection, or an electrical connection; it can be directly connected, or indirectly connected through an intermediate medium, or it can be the internal communication of two elements. For those skilled in the art, the specific meaning of the above terms in the present application can be understood according to the specific circumstances.

[0161] It should be noted that in the present application, relational terms such as "first" and "second" and the like are used only to distinguish one entity or operation from another entity or operation, and do not necessarily require or imply that there is any such actual relationship or order between these entities or operations. Moreover, the terms "include", "contain" or any other variant thereof are intended to cover non-exclusive inclusion, so that the process, method, article or device including a series of elements not only includes those elements, but also includes other elements not explicitly listed or inherent to such process, method, article or device. Without more limitations, the element defined by the sentence "including a" does not exclude the presence of other identical elements in the process, method, article or device including the element.

[0162] The foregoing is considered as illustrative only of the principles of the application. Numerous modifications and changes will readily occur to those skilled in the art, and the generic principles defined herein can be applied to other embodiments without departing from the spirit or scope of the application. Therefore, the scope of the application is indicated by the appended claims rather than by the foregoing description, and all changes that come within the meaning and range of equivalents are intended to be embraced therein.

Claims

1. A method for calculating the cross-sectional area of a main cable of a cable-stayed catenary- suspension hybrid bridge, characterized in that, It includes steps of: The main cable of the cable-stayed suspension cooperative system bridge is regarded as a segmented parabola, and the horizontal component of the main cable is calculated according to the elastic theory of the segmented parabola; A moment balance equation is applied to the theoretical vertex of the main cable, and the maximum tension of the main cable is determined in combination with the horizontal component of the main cable; The minimum cross-sectional area of the main cable is determined according to the principle that the maximum tension in the main cable is not greater than the bearing capacity of the main cable; The minimum cross-sectional area of the main cable is determined according to the principle that the maximum tension in the main cable is not greater than the bearing capacity of the main cable, including steps of: The minimum cross-sectional area of the main cable is determined according to a fifth formula, the fifth formula including: ， ， ， ， ， wherein , , , , is an intermediate quantity, , ; H is the main span, H is the height difference between the end points of the main cable at the two main towers, H is the sag of the main cable, H is the dead load intensity acting on the main cable in the pure suspension section, H is the dead load intensity acting on the main cable in the crossing section, H is the live load intensity of the main span, S is the action length of the live load intensity of the main span when symmetrically arranged about the midspan, H is the length of the pure suspension section, H is the length of the crossing section, H is the length of the cable-stayed section.

2. The method of claim 1, wherein the main cable cross-sectional area is calculated by the following equation: ###0001### where, A = main cable cross-sectional area, m2 D = main cable diameter, m F = main cable force, N T = main cable tension, N The main cable of the cable-stayed suspension cooperative system bridge is regarded as a segmented parabola, and the horizontal component of the main cable is calculated according to the elastic theory of the segmented parabola, including steps of: The midpoint of the connecting line of the two top main cable theory intersection points is taken as the origin A coordinate system is established , and The axis is arranged along the longitudinal bridge direction, The axis is arranged along the vertical bridge direction; At the middle of the main span, the main cable is divided into two parts, right and left. For the right part, the angle between the tension direction of the main cable at the middle of the span and the horizontal direction is determined, and the moment equation of the tension of the main cable at the middle of the span on the right theoretical vertex of the main cable is determined. At the middle of the main span, the main cable is divided into two parts, right and left. For the right part, the angle between the tension direction of the main cable at the middle of the span and the horizontal direction is determined, and the moment equation of the According to the angle between the tension direction at the midspan main cable and The horizontal component of the main cable is calculated according to the angle between the tension direction at the midspan main cable and the angle between the direction of the tension force at the crossing central main cable and is determined according to a first formula, the first formula comprising: wherein, for the angle to be solved, for the main span, for the height difference of the main cable end points at the two main towers; The moment equation of the tension force on the main cable at the midspan to the right theoretical vertex of the main cable is: wherein, is the tension force on the main cable at the midspan, is the sag of the main span main cable, is the horizontal component of the main cable.

3. The method of claim 2, wherein the main cable cross-sectional area is calculated by the following equation: ###0001### where A is the main cable cross-sectional area, D is the main cable diameter, and d is the diameter of the main cable at the cable anchorage. said horizontal component of the tension in the main cable at the midspan is calculated according to the angle between the direction of the tension in the main cable at the midspan and the moment equation of the tension in the main cable at the midspan about the right theoretical vertex of the main cable, comprising the steps of: calculating the horizontal component of the main cable based on a second formula, the second formula being: wherein, the self-load intensity of the main cable, the dead load intensity acting on the main cable in the pure suspension section, the dead load intensity acting on the main cable in the crossing section, the live load intensity of the main span, S is the length of action of the live load intensity of the main span when symmetrically arranged about the midspan, the length of the pure suspension section, the length of the crossing section, the length of the cable-stayed section.

4. The method of claim 3, wherein the main cable cross-sectional area is calculated by the following equation: ###0002### where A is the main cable cross-sectional area, D is the main cable diameter, and d is the diameter of the main cable. The moment balance equation is applied to the theoretical vertex of the main cable, and the maximum tension of the main cable is determined in combination with the horizontal component of the main cable, including steps of: The vertical component of the main cable at the highest point is determined according to a third formula; The maximum tension of the main cable is calculated based on the vertical component and the horizontal component of the main cable; The third formula is: wherein, is the vertical force component; The maximum tension of the main cable is determined according to a fourth formula, the fourth formula being: wherein, is the maximum tensile force of the main cable.

5. The method of claim 4, wherein the main cable cross-sectional area is calculated by the following equation: ###0002### where, A = main cable cross-sectional area, m2 D = main cable diameter, m F = main cable force, N T = main cable tension, N If the main cable is a spatial main cable, then in the fifth formula and According to the sixth formula, the sixth formula It includes: ， ， wherein, the horizontal elevation angle of the main cable, the coordinates of the upper anchor point on the suspension beam, the coordinates of the midpoint of the line connecting the two theoretical apexes of the main cable.

6. A device for calculating the cross-sectional area of a main cable of a cable-stayed catenary- suspension hybrid bridge, characterized by It includes: A main cable horizontal component calculation module is configured to regard the main cable of the cable-stayed suspension cooperative system bridge as a segmented parabola, and calculate the horizontal component of the main cable according to the elastic theory of the segmented parabola; A main cable maximum tension calculation module is configured to apply a moment balance equation to the theoretical vertex of the main cable, and determine the maximum tension of the main cable in combination with the horizontal component of the main cable; A main cable minimum cross-sectional area calculation module is configured to determine the minimum cross-sectional area of the main cable according to the principle that the maximum tension in the main cable is not greater than the bearing capacity of the main cable; The main cable minimum cross-sectional area calculation module is further configured to: Determine the minimum cross-sectional area of the main cable according to a fifth formula, the fifth formula including: ， ， ， ， ， wherein , , , , is an intermediate quantity, , ; H is the main span, H is the height difference between the end points of the main cable at the two main towers, H is the sag of the main cable, H is the dead load intensity acting on the main cable in the pure suspension section, H is the dead load intensity acting on the main cable in the crossing section, H is the live load intensity of the main span, S is the action length of the live load intensity of the main span when symmetrically arranged about the midspan, H is the length of the pure suspension section, H is the length of the crossing section, H is the length of the cable-stayed section.

7. The device for calculating the cross-sectional area of the main cable of a cable-suspender cooperative system bridge according to claim 6, wherein The main cable horizontal component calculation module is further configured to: The midpoint of the connecting line of the two top main cable theory intersection points is taken as the origin A coordinate system is established , and The axis is arranged along the longitudinal bridge direction, The axis is arranged along the vertical bridge direction; At the middle of the main span, the main cable is divided into two parts, left and right. For the right part, the angle between the tension direction of the main cable at the middle of the span and the axis of the main cable is determined, as well as the moment equation of the tension of the main cable at the middle of the span on the right theoretical vertex of the main cable. the angle between the tension direction of the main cable at the middle of the span and the axis of the main cable is determined, as well as the moment equation of the tension of the main cable at the middle of the span on the right theoretical vertex of the main cable. According to the angle between the tension direction at the midspan main cable and The horizontal component of the main cable is calculated according to the angle between the tension direction at the midspan main cable and the angle between the direction of the tension force at the crossing central main cable and the angle of the shaft is determined according to a first formula, the first formula comprising: wherein, is the angle to be solved, is the main span, is the height difference of the main cable end points at the two main towers; The moment equation of the tension force on the main cable at the midspan to the right theoretical vertex of the main cable is: wherein, is the tension force on the main cable at the midspan, is the sag of the main cable, is the horizontal component of the main cable; calculating the horizontal component of the main cable based on a second formula, the second formula being: wherein, S0 is the self-load intensity of the main cable, S1 is the dead load intensity of the main cable in the pure suspension section, S2 is the dead load intensity of the main cable in the crossing section, S0 is the self-load intensity of the main cable, S is the live load intensity of the main cable, and L is the length of the main cable, L0 is the length of the pure suspension section, L1 is the length of the crossing section, L2 is the length of the cable-stayed section.

8. The device for calculating the cross-sectional area of the main cable of a cable-suspender cooperative system bridge according to claim 7, wherein The main cable maximum tension calculation module is further configured to: Determine the vertical component of the main cable at the highest point according to a third formula; The maximum tension of the main cable is calculated based on the vertical component and the horizontal component of the main cable; The third formula is: wherein, is the vertical force component; The maximum tension of the main cable is determined according to a fourth formula, the fourth formula being: wherein, is the maximum tensile force of the main cable.

9. The device for calculating the cross-sectional area of the main cable of a cable-suspender cooperative system bridge according to claim 8, wherein The main cable minimum cross-sectional area calculation module is further configured to: If the main cable is a spatial main cable, then in the fifth formula and According to the sixth formula, the sixth formula It includes: ， ， wherein, the horizontal plane angle of the main cable, the coordinates of the upper anchor point on the beam, the coordinates of the midpoint of the line connecting the two theoretical apexes of the main cable.

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