Steel pipe node stress concentration coefficient calculation method based on node rigidity
Technical Field
The invention relates to the technical field of steel pipe node design, in particular to a steel pipe node stress concentration coefficient calculation method based on node rigidity.
Background
The steel pipe joint has the advantages of concise appearance, clear force transmission path, closed section, easy corrosion resistance, small wind resistance coefficient and the like, thereby being widely applied to the fields of large-span bridges, buildings and the like. However, since the connection between the main pipe and the branch pipe of the steel pipe node is a spatial curved intersecting weld with a constantly changing curvature, stress concentration is easily generated in a certain area of the steel pipe node, and the magnitude of the stress concentration not only weakens the bearing capacity of the steel pipe node, but also shortens the fatigue life of the steel pipe node.
The current calculation method for the stress concentration coefficient of the steel pipe node is mainly obtained by analyzing single parameters, namely the ratio beta of the diameter of the branch pipe to the diameter of the main pipe, the ratio gamma of the diameter of the main pipe to the wall thickness of the main pipe, the ratio tau of the wall thickness of the branch pipe to the wall thickness of the main pipe and an included angle theta between the main pipe and the branch pipe, neglecting the coupling influence of the different parameters on the stress concentration coefficient of the steel pipe node, namely changing one parameter can cause the change of other parameters. For example, when the ratio β of the branch pipe diameter to the main pipe diameter is used for calculation, the ratio γ of the main pipe diameter to the main pipe wall thickness is changed. Therefore, the current method of the stress concentration coefficient of the steel pipe node obtained by single parameter analysis cannot comprehensively grasp the stress concentration degree of the steel pipe node, and may even be contrary to the expectation of the designer on the stress concentration degree of the steel pipe node.
Disclosure of Invention
Aiming at the defects of the prior art, the invention provides a steel pipe node stress concentration coefficient calculation method based on node rigidity, which considers all the geometric parameters influencing the stress concentration coefficient of the steel pipe node at present, eliminates the problem that the coupling effect among the parameters cannot be considered in the current steel pipe node stress concentration coefficient calculation method, and integrally grasps the stress concentration degree of the steel pipe node.
In order to achieve the purpose, the technical scheme of the invention is as follows: a steel pipe node stress concentration coefficient calculation method based on node rigidity considers each main rigidity of a steel pipe node, including main pipe radial rigidity K1Axial stiffness K of branch pipe2Bending stiffness K of branch pipe3Main pipe bending rigidity K4Main pipe axial stiffness K5And axial stiffness K of intersecting weld joint along branch pipe6The steel pipe node stress concentration coefficient expression is as follows:
wherein SCF is the stress concentration coefficient of the steel pipe node; m is1Is axial rigidity K of branch pipe2Radial rigidity K of main pipe1Comparing the contribution of the stress concentration coefficient of the steel pipe node; m is2Is a bending rigidity K of the main pipe4Bending rigidity K of branch pipe3Comparing the contribution of the stress concentration coefficient of the steel pipe node; m is3Axial stiffness K of intersecting weld along branch pipe6Axial rigidity K of main pipe5The contribution of the stress concentration coefficient of the steel pipe node is compared.
Further, the main pipe radial stiffness K1Axial stiffness K of branch pipe2Bending stiffness K of branch pipe3Main pipe bending rigidity K4Main pipe axial stiffness K5And axial stiffness K of intersecting weld joint along branch pipe6The influence on the stress concentration coefficient of the steel pipe is determined by the following formula:
K6=E(k1d+k2D)t tanθ
wherein E is the elastic modulus of the steel pipe; d is the diameter of the main pipe; d is the diameter of the branch pipe; t is the main pipe wall thickness; t is the wall thickness of the branch pipe; theta is an included angle between the main pipe axis and the branch pipe axis; k is a radical of1The influence coefficient of the diameter d of the branch pipe on the length of the intersecting weld joint is shown; k is a radical of2The influence coefficient of the main pipe diameter D on the length of the intersecting weld seam is shown.
Further, the existing steel pipe nodes are utilized to count the diameter of the branch pipe and the length of the intersecting weld joint, the following linear regression equation is adopted to analyze the correlation between the diameter of the branch pipe and the length of the intersecting weld joint, and finally the regression calculation is carried out to obtain the influence coefficient k of the diameter d of the branch pipe on the length of the intersecting weld joint1:
L=k1d
Wherein L is the length of the intersecting weld.
Further, the existing steel pipe nodes are utilized to count the main pipe diameter and the length of the intersecting weld joint, the following linear regression equation is adopted to analyze the correlation between the main pipe diameter and the length of the intersecting weld joint, and finally the regression calculation is carried out to obtain the influence coefficient k of the main pipe diameter D on the length of the intersecting weld joint2:
L=k2D
Wherein L is the length of the intersecting weld.
Compared with the prior art, the invention has the beneficial effects that: all the geometric parameters influencing the stress concentration coefficient of the steel pipe node at present can be considered, the coupling effect among the geometric parameters cannot be considered in the current calculation method of the stress concentration coefficient of the steel pipe node is eliminated, and the stress concentration degree of the steel pipe node is integrally grasped.
Drawings
FIG. 1 is a front view of a steel pipe joint according to an embodiment of the present invention;
FIG. 2 is a side view of a steel pipe node according to an embodiment of the present invention;
fig. 3 is a plan view of a steel pipe joint according to an embodiment of the present invention.
Detailed Description
The invention is further explained below with reference to the drawings and the embodiments.
As shown in figure 1, the method for calculating the stress concentration coefficient of the steel pipe node based on the node stiffness considers each main stiffness of the steel pipe node, including main pipe radial stiffness K1Axial stiffness K of branch pipe2Bending stiffness K of branch pipe3Main pipe bending rigidity K4Main pipe axial stiffness K5And axial stiffness K of intersecting weld joint along branch pipe6The steel pipe node stress concentration coefficient expression is as follows:
wherein SCF is the stress concentration coefficient of the steel pipe node; m is1Is axial rigidity K of branch pipe2Radial rigidity K of main pipe1Comparing the contribution of the stress concentration coefficient of the steel pipe node; m is2Is a bending rigidity K of the main pipe4Bending rigidity K of branch pipe3Comparing the contribution of the stress concentration coefficient of the steel pipe node; m is3Axial stiffness K of intersecting weld along branch pipe6Axial rigidity K of main pipe5The contribution of the stress concentration coefficient of the steel pipe node is compared.
In the present embodiment, the main pipe radial stiffness K1Axial stiffness K of branch pipe2Bending stiffness K of branch pipe3Main pipe bending rigidity K4Main pipe axial stiffness K5And axial stiffness K of intersecting weld joint along branch pipe6The influence on the stress concentration coefficient of the steel pipe is determined by the following formula:
K6=E(k1d+k2D)t tanθ
wherein E is the elastic modulus of the steel pipe; d is the diameter of the main pipe; d is the diameter of the branch pipe; t is the main pipe wall thickness; t is the wall thickness of the branch pipe; theta is an included angle between the main pipe axis and the branch pipe axis;k1the influence coefficient of the diameter d of the branch pipe on the length of the intersecting weld joint is shown; k is a radical of2The influence coefficient of the main pipe diameter D on the length of the intersecting weld seam is shown.
In this embodiment, the existing steel pipe joints are used to count the branch pipe diameter and the length of the intersecting weld joint, the following linear regression equation is used to analyze the correlation between the branch pipe diameter and the length of the intersecting weld joint, and finally the regression calculation is performed to obtain the influence coefficient k of the branch pipe diameter d on the length of the intersecting weld joint1:
L=k1d
Wherein L is the length of the intersecting weld.
In this embodiment, the existing steel pipe node is used to count the main pipe diameter and the length of the intersecting weld, the following linear regression equation is used to analyze the correlation between the main pipe diameter and the length of the intersecting weld, and finally the regression calculation is performed to obtain the influence coefficient k of the main pipe diameter D on the length of the intersecting weld2:
L=k2D
Wherein L is the length of the intersecting weld.
The method adopts each main rigidity of the steel pipe nodes as a basic parameter, constructs a basic calculation model of the calculation method of the stress concentration coefficient of the steel pipe nodes according to the coupling relation among the main rigidities of the steel pipe nodes, introduces the important coefficient of each main rigidity ratio to the stress concentration coefficient of the steel pipe nodes according to the contribution degree of each main rigidity ratio of the steel pipe nodes to the stress concentration coefficient of the steel pipe nodes, and further obtains the calculation method of the stress concentration coefficient of the steel pipe nodes based on the node rigidity. All the geometric parameters influencing the stress concentration coefficient of the steel pipe node at present are considered, the coupling effect among the geometric parameters cannot be considered in the calculation method for eliminating the stress concentration coefficient of the steel pipe node at present, and the stress concentration degree of the steel pipe node is integrally grasped.
The above description is only a preferred embodiment of the present invention, and all equivalent changes and modifications made in accordance with the claims of the present invention should be covered by the present invention.