Calculation method of tearing path of fully welded steel truss joint with one oblique side and one circular side

Abstract

The present invention relates to the technical field of bridge structures, and specifically to a method for calculating the tearing path of a fully welded steel truss node with a hypotenuse on one side and an arc edge on the other side. The method comprises the following steps: establishing a distance function from a fixed point to the hypotenuse, a distance function from a fixed point to the arc edge, a contribution function of the web member's horizontal plate to tearing, and a tearing path value of the node plate between the web member's horizontal plates based on the web member's structural parameters, hypotenuse parameters, arc edge parameters, and the positional relationship between the web member and the hypotenuse and arc edge; determining the tearing path of the entire node based on the distance function from a fixed point to the hypotenuse, the distance function from a fixed point to the arc edge, the contribution function of the web member's horizontal plate to tearing, and the tearing path value of the node plate between the web member's horizontal plates. This solution can solve the problem in the prior art of inaccurate tearing paths when calculating the tearing paths of fully welded steel truss nodes with a web member having a hypotenuse on one side and an arc edge on the other.

Description

Technical Field

[0001] The present invention relates to the technical field of bridge structures, and in particular to a method for calculating the tearing path of a fully-welded steel truss girder node with one oblique side and one circular arc side. Background Art

[0002] Steel trusses possess excellent overall and local stiffness and are widely used in various bridge types. With the advancement of construction technology, for river and sea crossing bridges, when steel trusses are used as the main beam, whole-section hoisting is often used to shorten construction periods. In this case, the main trusses generally use fully welded integral joints. The tear strength is equal to the tear path length multiplied by the plate thickness multiplied by the allowable stress.

[0003] Existing specifications cannot calculate the tearing of fully welded integral joints. Based on different assumptions, the solutions in Chinese invention patents CN 112699448 A and CN113420388A provide tearing calculation methods applicable to fully welded integral joints. They also provide calculation formulas or numerical methods for five common web member transition types.

[0004] However, if the methods in the two patent solutions are used to calculate the tearing path of a fully welded steel truss node in which one side of the web member is a bevel edge and the other side is a circular arc edge, the tearing path will be inaccurate. Summary of the Invention

[0005] In response to the defects existing in the prior art, the purpose of the present invention is to provide a method for calculating the tearing path of a fully welded steel truss node with one oblique edge and one circular arc edge, which can solve the problem in the prior art of calculating the tearing path of a fully welded steel truss node with one oblique edge and one circular arc edge on the web, which will lead to inaccurate tearing path.

[0006] In order to achieve the above purpose, the technical solution adopted by the present invention is:

[0007] The present invention provides a method for calculating the tearing path of a fully welded steel truss node with one oblique edge and one circular arc edge, which is characterized by comprising the following steps:

[0008] According to the structural parameters of the web, the parameters of the hypotenuse, the parameters of the arc edge, and the positional relationship between the web and the hypotenuse and arc edge, the distance function from the fixed point to the hypotenuse, the distance function from the fixed point to the arc edge, the contribution function of the web horizontal plate to the tearing, and the tearing path value of the node plate between the web horizontal plates are established;

[0009] The tearing path of the entire node is determined based on the distance function from the fixed point to the hypotenuse, the distance function from the fixed point to the arc edge, the contribution function of the horizontal plate of the web to the tearing, and the tearing path value of the node plate between the horizontal plates of the web.

[0010] In some optional solutions, the distance function from the fixed point to the hypotenuse is:

[0011]

[0012] Wherein, h is a variable. When H1 < H2 + H0, , when H1 ≥ H2 + H0, , d is the sum of the distances from the inner sides of the upper and lower horizontal plates of the web member to the edge of the vertical plate, , γ is the angle between the hypotenuse side of the vertical plate of the web member and the center line of the web, is the projected distance on the axis of the web member of the inner ends of the node plates of the upper and lower horizontal plates of the web member, is the projected length on the axis of the web member of the distance from the starting point of the hypotenuse of the vertical plate of the web member with a radius to the inner end of the node plate of the horizontal plate on the same side of the web member; is the projected length on the axis of the web member of the distance from the starting point of the circular arc with a radius R of the vertical plate of the web member to the inner end of the node plate of the horizontal plate on the same side of the web member.

[0013] In some alternative solutions, the distance function from the fixed point to the circular arc side is:

[0014]

[0015] Wherein, when H1 < H2 + H0, , when H1 ≥ H2 + H0, , β∈ [0, 0.5π], R is the radius of the circular arc on the circular arc side of the vertical plate of the web member.

[0016] In some alternative solutions, establishing the contribution function of the horizontal plate of the web member to tearing includes:

[0017] Determining the web member web coefficient based on the web member structure parameters;

[0018] Establishing the contribution function of the horizontal plate of the web member to tearing based on the web member web coefficient and the web member structure parameters.

[0019] In some alternative solutions, the determining the web member web coefficient based on the web member structure parameters includes:

[0020]

[0021] Wherein, Λ is the web member web coefficient, is the thickness of the horizontal plate of the web member; is the chamfer angle of the horizontal plate of the web member; is the thickness of the node plate, .

[0022] In some alternative solutions, the established contribution function of the horizontal plate of the web member to tearing is:

[0023]

[0024] Among them, when H1 < H2 + H0, , , when H1 ≥ H2 + H0, , , Λ is the web plate coefficient of the web member, is the projection length on the axis of the web member of the distance from the starting point of the hypotenuse to the inner end of the joint plate of the horizontal plate of the same side of the web member with the radius of the vertical plate of the web member; is the projection length on the axis of the web member of the distance from the starting point of the circular arc with the radius R of the vertical plate of the web member to the inner end of the joint plate of the horizontal plate of the same side of the web member.

[0025] In some alternative solutions, the tearing path value of the joint plate between the horizontal plates of the web member is:

[0026]

[0027] Among them, , D is the net distance between the upper and lower horizontal plates of the web member.

[0028] In some alternative solutions, determining the overall joint tearing path according to the distance function from a fixed point to the hypotenuse, the distance function from a fixed point to the circular arc edge, the contribution function of the horizontal plate of the web member to tearing, and the tearing path value of the joint plate between the horizontal plates of the web member includes:

[0029] Establishing an overall joint tearing path function according to the distance function from a fixed point to the hypotenuse, the distance function from a fixed point to the circular arc edge, the contribution function of the horizontal plate of the web member to tearing, and the tearing path value of the joint plate between the horizontal plates of the web member;

[0030] Determining the overall joint tearing path value according to the overall joint tearing path function.

[0031] In some alternative solutions, the overall joint tearing path function is:

[0032]

[0033] Among them, when H1 < H2 + H0, , , when H1 ≥ H2 + H0, , .

[0034] In some alternative solutions, determining the overall joint tearing path value according to the overall joint tearing path function includes:

[0035] Dividing the domain of and to obtain ,in For the i indivual The value of For the j indivual The value of

[0036] Will Bring to , calculate all ;

[0037] Sure The minimum value of is taken as the shortest tearing path length.

[0038] Compared with the prior art, the advantages of the present invention are as follows: This solution establishes the distance function from the fixed point to the hypotenuse, the distance function from the fixed point to the arc edge, the contribution function of the web horizontal plate to tearing, and the tearing path value of the node plate between the web horizontal plates based on the web member structural parameters, the hypotenuse parameters, the arc edge parameters, and the positional relationship between the web member and the hypotenuse and the arc edge; and determines the tearing path of the entire node based on the distance function from the fixed point to the hypotenuse, the distance function from the fixed point to the arc edge, the contribution function of the web horizontal plate to tearing, and the tearing path value of the node plate between the web horizontal plates. By establishing the distance function from the fixed point to the hypotenuse, compared with the prior art, the tearing path of the entire node of the fully welded steel truss with one hypotenuse on one side and one arc edge on the other side can be obtained more accurately. Therefore, a more accurate tearing path of the entire node can be obtained, so as to obtain a more accurate tearing strength, providing a basis for design. BRIEF DESCRIPTION OF THE DRAWINGS

[0039] In order to more clearly illustrate the technical solutions in the embodiments of the present application, the following briefly introduces the drawings required for use in the description of the embodiments. Obviously, the drawings described below are only some embodiments of the present application. For ordinary technicians in this field, other drawings can be obtained based on these drawings without any creative work.

[0040] Figure 1 Flowchart of a method for calculating the tearing path of a fully welded steel truss girder node with one oblique edge and one circular arc edge according to an embodiment of the present invention;

[0041] Figure 2 This is a calculation diagram of the oblique side and the arc side of the box-shaped web member in an embodiment of the present invention;

[0042] Figure 3 This is a calculation diagram of the arc edge on one side of the oblique side of the H-shaped web in an embodiment of the present invention. DETAILED DESCRIPTION

[0043] To make the objectives, technical solutions, and advantages of the embodiments of this application clearer, the technical solutions in the embodiments of this application will be clearly and completely described below in conjunction with the accompanying drawings in the embodiments of this application. Apparently, the described embodiments are some, but not all, of the embodiments of this application. All other embodiments obtained by those of ordinary skill in the art based on the embodiments in this application without creative efforts shall fall within the scope of protection of this application.

[0044] The embodiments of the present invention will be further described in detail below in conjunction with the accompanying drawings.

[0045] Figure 1 It is a flowchart of the calculation method for the tearing path of a fully welded steel truss beam node with one bevel side and one arc side in an embodiment of the present invention. As Figure 1 shown, the present invention provides a calculation method for the tearing path of a fully welded steel truss beam node with one bevel side and one arc side, including the following steps:

[0046] S1: According to the web member structure parameters, bevel side parameters, arc side parameters, and the positional relationship between the web member and the bevel side and arc side, establish the distance function from a fixed point to the bevel side, the distance function from a fixed point to the arc side, the contribution function of the web member horizontal plate to tearing, and the tearing path value of the gusset plate between the web member horizontal plates.

[0047] In this embodiment, the distance function from a fixed point to the bevel side is:

[0048]

[0049] where h is a variable. When H1 < H2 + H0, ; when H1 ≥ H2 + H0, ; d is the sum of the distances from the inner sides of the upper and lower horizontal plates of the web member to the edge of the vertical plate, , γ is the angle between the bevel side of the vertical plate of the web member and the center line of the web, is the projection distance of the inner ends of the gusset plates of the upper and lower horizontal plates of the web member on the web member axis, is the projection length of the distance from the starting point of the bevel side with a radius of the vertical plate of the web member to the inner end of the gusset plate of the same-side web member horizontal plate on the web member axis; is the projection length of the distance from the starting point of the arc with a radius of R of the vertical plate of the web member to the inner end of the gusset plate of the same-side web member horizontal plate on the web member axis.

[0050] In some optional embodiments, the distance function from a fixed point to the arc side is:

[0051]

[0052] where when H1 < H2 + H0, , when H1≥H2 + H0, , β∈ [0, 0.5π], where R is the radius of the arc on the side of the vertical plate of the web member.

[0053] Figure 2 It is the calculation diagram of one inclined side and one arc side of the box-shaped web member in the embodiment of the present invention; Figure 3 It is the calculation diagram of one inclined side and one arc side of the H-shaped web member in the embodiment of the present invention. As shown in Figure 2 and Figure 3 In some optional embodiments, establishing the contribution function of the horizontal plate of the web member to tearing includes:

[0054] Based on the structural parameters of the web member, determine the web member web coefficient.

[0055] According to the structural parameters of the web member, determining the web member web coefficient includes:

[0056]

[0057] where Λ is the web member web coefficient, is the thickness of the horizontal plate of the web member; is the chamfer angle of the horizontal plate of the web member; is the thickness of the gusset plate, .

[0058] Based on the web member web coefficient and the structural parameters of the web member, establish the contribution function of the horizontal plate of the web member to tearing.

[0059] The established contribution function of the horizontal plate of the web member to tearing is:

[0060]

[0061] where, when H1 < H2 + H0, , , when H1≥H2 + H0, , , Λ is the web member web coefficient, is the projection length on the axis of the web member of the distance from the starting point of the inclined side to the inner end of the gusset plate of the horizontal plate of the web member on the same side with the radius of the vertical plate of the web member; is the projection length on the axis of the web member of the distance from the starting point of the arc with the radius R of the vertical plate of the web member to the inner end of the gusset plate of the horizontal plate of the web member on the same side.

[0062] In this example, the tearing path value of the gusset plate between the horizontal plates of the web member is:

[0063]

[0064] where, , Dis the net distance between the upper and lower horizontal plates of the web member, and is a variable. When the web member is H-shaped, ; D is the net distance between the upper and lower horizontal plates of the web member. When the web member is H-shaped, D = 1×10

[0076] , , , ,

[0075] ,

[0077] , , , , , β∈ ,

[0078] , , m.

[0065] S2: Determine the overall joint tearing path according to the distance function from a fixed point to the hypotenuse, the distance function from the fixed point to the circular arc edge, the contribution function of the horizontal plate of the web member to tearing, and the tearing path value of the gusset plate between the horizontal plates of the web member.

[0066] In some optional embodiments, step S2 includes the following steps:

[0067] S21: Establish an overall joint tearing path function according to the distance function from a fixed point to the hypotenuse, the distance function from the fixed point to the circular arc edge, the contribution function of the horizontal plate of the web member to tearing, and the tearing path value of the gusset plate between the horizontal plates of the web member.

[0068] In this embodiment, the overall joint tearing path function is:

[0069]

[0070] where, when H1 < H2 + H0, , , when H1 ≥ H2 + H0, , .

[0071] Expand the above formula to:

[0072]

[0073]

[0074] where, h is a variable. When H1 < H2 + H0, , when H1 ≥ H2 + H0, .

[0075]

[0076] where, when H1 < H2 + H0, , when H1 ≥ H2 + H0, , β∈ [0, 0.5π].

[0077] S22: Determine the overall joint tearing path value according to the overall joint tearing path function.

[0078] In this embodiment, step S22 includes the following steps:

[0079] will be and Divide the domain into two parts and get ,in For the i indivual The value of For the j indivual The value of

[0080] Will Bring to , calculate all ;

[0081] Sure The minimum value of is taken as the shortest tearing path length.

[0082] In this example, all Substitute into the formula: When Divide the domain into two parts, and we get ; Substitute into the above formula, and we get The minimum value of is the shortest tearing path length.

[0083] In addition, based on the calculation method of the overall node tearing path mentioned above to solve the shortest tearing path length, a simplified calculation method is also given:

[0084]

[0085] In the above formula: L is the tearing path of the integral node of the fully welded steel truss with one oblique side and one arc side; when the web member is a box section, φ=0.965, when the web member is an H-section, φ=1.03; d is the sum of the distances from the inner side of the upper and lower horizontal plates of the web to the edge of the vertical plate; γ is the angle between the hypotenuse of the web vertical plate and the centerline of the web; R is the arc radius of the web vertical plate; The projected length of the distance from the starting point of the hypotenuse of the web member vertical plate to the inner end of the gusset plate of the web member horizontal plate on the same side on the web member axis; The projected length of the distance from the starting point of the arc edge of the web member vertical plate with a radius of R to the inner end of the gusset plate of the web member horizontal plate on the same side on the web member axis; D The net distance between the upper and lower horizontal plates of the web member. When the web member is H-shaped, D=0; is the horizontal plate coefficient of the web member.

[0086] For box-shaped web members, d is randomly distributed in [0.1~0.2]m, D is randomly distributed in [0.5~1.5]m, H1 is randomly distributed in [1,1.5]m, H2 is randomly distributed in [1,1.5]m, H0 is randomly distributed in [0,0.5]m, and R is randomly distributed in [0.8,1.3]m. Randomly distributed in [35,50]°, Randomly distributed in [32,52] mm, Randomly distributed in [12,52] mm and smaller than , a total of 100 working conditions, the error of the simplified formula calculation results relative to the numerical calculation results is within 5%, which meets the engineering requirements.

[0087] For H-shaped webs, d is randomly distributed in [0.5~1.5]m, H1 is randomly distributed in [1,1.5]m, H2 is randomly distributed in [1,1.5]m, H0 is randomly distributed in [0,0.5]m, and R is randomly distributed in [0.8,1.3]m. Randomly distributed in [35,50]°, Randomly distributed in [32,52] mm, Randomly distributed in [12,52] mm and smaller than , a total of 100 working conditions, the error of the simplified formula calculation results relative to the numerical calculation results is within 5%, which meets the engineering requirements.

[0088] In summary, this solution establishes the distance function from the fixed point to the hypotenuse, the distance function from the fixed point to the arc edge, the contribution function of the web member's horizontal plate to tearing, and the tearing path value of the node plate between the web member's horizontal plates based on the web member's structural parameters, the hypotenuse parameters, the arc edge parameters, and the positional relationship between the web member and the hypotenuse and arc edge; and determines the tearing path of the overall node based on the distance function from the fixed point to the hypotenuse, the distance function from the fixed point to the arc edge, the contribution function of the web member's horizontal plate to tearing, and the tearing path value of the node plate between the web member's horizontal plates. The distance function from the fixed point to the hypotenuse has been established. Compared with the existing technology, the tearing path of the overall node of the fully welded steel truss with one hypotenuse on one side and one arc edge on the other side can be obtained more accurately. Therefore, the tearing path of the overall node can be obtained to obtain a more accurate tearing strength, providing a basis for design. In addition, this solution also provides a simplified calculation method that can more quickly obtain the tearing path of the overall node.

[0089] It should be noted that, in this application, relational terms such as "first" and "second" are used only to distinguish one entity or operation from another entity or operation, and do not necessarily require or imply any actual relationship or order between these entities or operations. Moreover, the terms "include", "comprise" or any other variants thereof are intended to cover non-exclusive inclusion, so that a process, method, article or device comprising a series of elements includes not only those elements, but also other elements not explicitly listed, or also includes elements inherent to such process, method, article or device. In the absence of further restrictions, an element defined by the sentence "comprising a ..." does not exclude the presence of other identical elements in the process, method, article or device comprising the element.

[0090] The foregoing is merely a list of specific embodiments of the present application, intended to enable those skilled in the art to understand or implement the present application. Various modifications to these embodiments will be readily apparent to those skilled in the art, and the general principles defined herein may be implemented in other embodiments without departing from the spirit or scope of the present application. Therefore, the present application is not limited to the embodiments shown herein, but is intended to conform to the broadest scope consistent with the principles and novel features of the present application.

Claims

1. A method for calculating the tearing path of a fully welded steel truss node with one oblique edge and one circular arc edge, characterized in that: The following steps are involved: According to the structural parameters of the web, the parameters of the hypotenuse, the parameters of the arc edge, and the positional relationship between the web and the hypotenuse and arc edge, the distance function from the fixed point to the hypotenuse, the distance function from the fixed point to the arc edge, the contribution function of the web horizontal plate to the tearing, and the tearing path value of the node plate between the web horizontal plates are established; The tearing path of the entire node is determined based on the distance function from the fixed point to the hypotenuse, the distance function from the fixed point to the arc edge, the contribution function of the horizontal plate of the web to the tearing, and the tearing path value of the node plate between the horizontal plates of the web; The distance function from the fixed point to the hypotenuse is: Wherein, h is a variable. When H1 < H2 + H0, , when H1 ≥ H2 + H0, , d is the sum of the distances from the inner sides of the upper and lower horizontal plates of the web member to the edges of the vertical plate, , γ is the angle between the hypotenuse of the inclined side of the vertical plate of the web member and the center line of the web, is the projected distance on the axis of the web member of the inner ends of the node plates of the upper and lower horizontal plates of the web member, is the projected length on the axis of the web member of the distance from the starting point of the hypotenuse of the vertical plate of the web member with a radius to the inner end of the node plate of the horizontal plate of the web member on the same side; is the projected length on the axis of the web member of the distance from the starting point of the circular arc with a radius of R of the vertical plate of the web member to the inner end of the node plate of the horizontal plate of the web member on the same side; The distance function from the fixed point to the arc edge is: where, when H1 < H2 + H0, when H1 ≥ H2 + H0, , β∈ [0, 0.5π], and R is the radius of the arc on the side of the circular arc of the web member vertical plate; The contribution function of the web horizontal plate to tearing is established as follows: Determine the web member and web plate coefficient based on the web member structural parameters; Based on the web member web plate coefficient and web member structural parameters, the contribution function of the web member horizontal plate to tearing is established; The determination of the web member and web plate coefficient based on the web member structural parameters includes: Where Λ is the web member and web plate coefficient, is the thickness of the horizontal plate of the web member; Cut corners on the dovetail plate of the horizontal plate of the web member; is the gusset plate thickness, ; The contribution function of the web horizontal plate to tearing is established as: Where, when H1 < H2 + H0, , , when H1 ≥ H2 + H0, , , Λ is the web coefficient of the web member, is the projection length on the axis of the web member of the distance from the starting point of the hypotenuse to the inner end of the joint plate of the horizontal plate of the web member on the same side, where the radius of the vertical plate of the web member is ; is the projection length on the axis of the web member of the distance from the starting point of the circular arc with a radius of R of the vertical plate of the web member to the inner end of the joint plate of the horizontal plate of the web member on the same side; The tearing path value of the node plate between the horizontal plates of the web members is: in, , D is the clear distance between the upper and lower horizontal plates of the web member; The method of determining the overall node tearing path based on the distance function from the fixed point to the hypotenuse, the distance function from the fixed point to the arc edge, the contribution function of the horizontal plate of the web member to the tearing, and the tearing path value of the node plate between the horizontal plates of the web member includes: The overall node tearing path function is established based on the distance function from the fixed point to the hypotenuse, the distance function from the fixed point to the arc edge, the contribution function of the horizontal plate of the web member to the tearing, and the tearing path value of the node plate between the horizontal plates of the web member. Determine the overall node tearing path value according to the overall node tearing path function; The overall node tearing path function is: Where, when H1 < H2 + H0, , , when H1 ≥ H2 + H0, , .

2. The method for calculating the tearing path of a fully welded steel truss node with one oblique side and one circular arc side according to claim 1, characterized in that: The determining of the overall node tearing path value according to the overall node tearing path function includes: will be and Divide the domain into two parts and get ,in For the i indivual The value of For the j indivual The value of Will Bring in , calculate all ; Sure The minimum value of is taken as the shortest tearing path length.

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