CN113515801B - Method for calculating bearing capacity of steel pipe K-shaped stiffening intersecting welding node - Google Patents

Method for calculating bearing capacity of steel pipe K-shaped stiffening intersecting welding node Download PDF

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CN113515801B
CN113515801B CN202110838572.7A CN202110838572A CN113515801B CN 113515801 B CN113515801 B CN 113515801B CN 202110838572 A CN202110838572 A CN 202110838572A CN 113515801 B CN113515801 B CN 113515801B
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黄佩
柯嘉
冯衡
曾二贤
白强
包永忠
江卫华
王松涛
赵冲
王亚东
胡星
胡超
伍林伟
吴海兵
王新洋
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China Power Engineering Consultant Group Central Southern China Electric Power Design Institute Corp
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Abstract

The invention discloses a calculation method for the bearing capacity of a K-shaped stiffened intersecting welding joint of a steel pipe, and relates to the field of structural calculation of electric power technology and constructional engineering. It comprises the following steps: step 1: calculating to obtain an intermediate parameter psin(ii) a Step 2: calculating the pipe diameter ratio beta and the intermediate parameter psi of the pressure branch pipe and the main pipeβ(ii) a And step 3: calculating to obtain an intermediate parameter psia(ii) a And 4, step 4: calculating to obtain the partial contribution term N of the non-stiffened nodecK(ii) a And 5: calculating to obtain the effective length l of the node plate on the pressure sideec(ii) a Step 6: calculating to obtain contribution term N of the gusset partcP(ii) a And 7: calculating to obtain a ring plate part contribution item NcR(ii) a Step 8, calculating to obtain the bearing capacity N of the penetration welding node with the stiffening ribcKPRThe tension branch pipe has a bearing capacity N of a stiffening intersecting welding jointtKPR. The steel pipe K-shaped penetration welding joint with stiffening ribs obtained by the calculation method has high safety performance and low construction cost; the invention can be widely applied to the design of the K-shaped stiffened intersecting welding joint of the steel pipe of the power transmission line.

Description

Method for calculating bearing capacity of K-shaped stiffened intersecting welding joint of steel pipe
Technical Field
The invention relates to the field of structural calculation of electric power technology and constructional engineering, in particular to a method for calculating the bearing capacity of a K-shaped stiffened intersecting welding joint of a steel pipe.
Background
The steel pipe member has excellent structural performance and attractive appearance, and the steel pipe truss structure formed by direct welding is widely applied to the structural fields of electric power, buildings, oceans, machinery and the like; the K-shaped intersecting joint is an important connection form of a steel tube tower structure of a power transmission line, and the joint part is often locally reinforced in actual engineering so as to improve the bearing capacity and rigidity of the joint; however, in the design standards at home and abroad, the calculation method for the bearing capacity of the K-type stiffening intersecting node is still incomplete.
At present, the design standards of steel structures (GB50017-2017), the design specifications of American steel structure buildings (ANSI/AISC 360-10), and the European Specification 3: steel structure design-part 1-8: the design of the node (EN 1993-1-8) and the like make detailed stipulations on a bearing capacity calculation method of a K-type non-stiffened steel pipe intersecting welding node and give a practical calculation formula; although the methods are different in formula expression, the methods are relatively mature, and are verified by related tests and simulation analysis, and are widely adopted in engineering design at present; however, the bearing capacity calculation method of the stiffening intersecting welding node has no systematic design method at present.
Tests show that after the stiffening plates are arranged, the bearing capacity of the intersecting welding nodes is obviously improved, and if the bearing capacity of the part is reasonably considered during design, the steel pipe node design is more economical and reasonable, so that a brand-new calculation method for the bearing capacity of the steel pipe K-type stiffened intersecting welding nodes considering stiffening contribution is urgently required to be researched and provided, the calculation result is more consistent with the test condition, and the economy of the design of the steel pipe K-type stiffened intersecting welding nodes is further improved.
At present, documents for researching a design method of the bearing capacity of a K-type stiffening node are few, a design method of the bearing capacity of the K-type stiffening node only with a gusset plate is provided in a text of a test research and a design calculation method of the bearing capacity of the K-type stiffening node by stiffening penetration welding (Wang Xiao Jian et al), and the action of a ring plate cannot be considered; when the K-type node is loaded, the rotation of the node plate can cause the compression of the branch pipe, and the local buckling occurs, and when the radius-thickness ratio is larger, the phenomenon is more obvious; the branch pipes adopted in the articles of the Wangxiao construction and the like are all in the condition of small diameter-thickness ratio, and the formula of the diameter-thickness ratio of the pipe fittings commonly used for the non-transmission lines is not suitable for the condition of large diameter-thickness ratio of the branch pipes.
Therefore, it is necessary to develop a calculation method for the bearing capacity of the K-shaped stiffened intersecting welded joint of the steel pipe, which considers the contribution of the ring plate to the bearing capacity of the joint, and can accurately calculate the bearing capacity of the joint under the condition of large diameter and thickness of the branch pipe based on extensive tests and numerical simulation.
Disclosure of Invention
The invention aims to overcome the defects of the background technology and provide a method for calculating the bearing capacity of a steel pipe K-shaped penetration welding joint with stiffening rib.
In order to realize the purpose, the technical scheme of the invention is as follows: a method for calculating the bearing capacity of a steel pipe K-shaped penetration welding joint with stiffening comprises the following steps:
step 1: determining smaller value sigma of pressure stress of main pipes on two sides of node and main pipe steelYield strength fyCalculating to obtain an intermediate parameter psin；
Intermediate parameter psinCalculated by formula (1):
Figure GDA0003641191800000021
wherein, sigma is the smaller value of the pressure stress of the main pipes at two sides of the node, and when the main pipes at two sides or one side of the node are pulled, 0 is taken;
step 2: determining the diameter d of a pressure branchcAnd the diameter D of the main pipe, calculating the pipe diameter ratio beta of the pressure branch pipe to the main pipe and the intermediate parameter psiβ；
The pipe diameter ratio beta is obtained by calculating the formula (2), and the intermediate parameter psiβThe following calculation results in:
β＝dcformula/D (2)
Figure GDA0003641191800000022
And step 3: based on the thickness T of the main pipe, the gap a between the two branch pipes, the diameter D of the main pipe and the pipe diameter ratio beta, an intermediate parameter psi is obtained through calculationa；
The intermediate parameter ψ a is calculated by formula (4):
Figure GDA0003641191800000031
and 4, step 4: based on the included angle theta between the pressure branch pipe and the main pipecMain pipe thickness T, intermediate parameter psin、ψβ、ψaDesign value f of the main pipe steel strength mCalculating the contribution term N of the non-stiffened node part of the bearing capacity of the K-type stiffened intersecting welding node of the pressed branch pipecK；
NcKCalculated by equation (5):
Figure GDA0003641191800000032
and 5: nominal length B of stiffening plate based on pressed branch pipe sidecMain pipe diameter D, pressure branch pipe diameter DcThe included angle theta between the pressure branch pipe and the main pipecAnd calculating to obtain the effective length l of the gusset plate on the pressure receiving sideec；
Effective length l of pressure side gusset plateecCalculated by equation (6):
Figure GDA0003641191800000033
step 6: based on the diameter D of the main pipe, the effective length l of the pressure side gusset plateecDesign value f of steel strength of gusset platepThickness T of main pipe, angle theta between pressure branch pipe and main pipecThe intermediate parameter psinCalculating the contribution term N of the node plate part of the K-type node with the stiffening intersecting welding node bearing capacitycP；
NcPCalculated by equations (7) to (9):
Figure GDA0003641191800000034
Figure GDA0003641191800000035
Figure GDA0003641191800000036
wherein A iscIs the total cross-sectional area of the pressure branch pipe, fcFor the design value of the strength of the pressed branch pipe,
Figure GDA0003641191800000038
and
Figure GDA0003641191800000037
are all intermediate coefficients;
and 7: based on the diameter D of the main pipe, the thickness T of the main pipe and the thickness T of the ring platerHeight h of ring platerCalculating to obtain the contribution term N of the ring plate part of the bearing capacity of the K-type stiffening intersecting welding jointcR；
NcRCalculated by equation (10):
Figure GDA0003641191800000041
in the formula, alpha is radian; when the ring plate is a full ring, taking alpha as 1.1 pi; when the ring plates are 1/4 rings and semi-rings, alpha is the radian of the ring plates; when in use
Figure GDA0003641191800000042
At first, get
Figure GDA0003641191800000043
Step 8, based on the K-type stiffening intersecting welding node bearing capacity, no stiffening node part contribution item NcKK-type gusset part contribution item N with stiffening intersecting welding gusset bearing capacitycPK-type ring plate part contribution item N with stiffening intersecting welding node bearing capacitycRCalculating to obtain the bearing capacity N of the stiffened penetration welding node of the K-shaped pressed branch pipecKPRThe tension branch pipe has a bearing capacity N of a stiffening intersecting welding jointtKPR；
K-shaped pressed branch pipe bearing capacity N of penetration welding joint with stiffening ribcKPRThe included angle theta between the tension branch pipe and the main pipe is calculated according to the formula (11)tThe tension branch pipe has a bearing capacity N of a stiffening intersecting welding jointtKPRCalculated according to equation (12):
NcKPR＝NcK+NcP+NcRformula (11)
Figure GDA0003641191800000044
Compared with the prior art, the invention has the following advantages:
1) the invention provides a calculation method for the bearing capacity of a K-shaped stiffened intersecting welding joint of a steel pipe, which considers the contribution of stiffening plates and ring plates for the first time, and comprehensively considers the size and the strength of a main pipe, a branch pipe, the stiffening plates and the ring plates and the influence of the arrangement of the ring plates to obtain the bearing capacity of the joint of a stressed branch pipe and a tensioned branch pipe; because the bearing capacity calculation of the K-shaped stiffened intersecting welding joint of the steel pipe has a plurality of parameters to be considered, the bearing capacity calculation method is obtained by adopting finite element numerical simulation to carry out parametric analysis on the basis of test and theoretical analysis and fitting based on the data.
2) The steel pipe K-shaped penetration welding joint with stiffening ribs obtained by the calculation method has high safety performance and low construction cost; the invention can be widely applied to the design of the K-shaped stiffened intersecting welding joint of the steel pipe of the power transmission line.
3) Compared with the existing standard and the text of 'reinforced intersecting welding K-type node bearing capacity test research and design calculation method', such as Wang Xiao Jian, the calculation method can consider the contribution of the ring plate to the node bearing capacity, and meanwhile, based on extensive tests and numerical simulation, for the larger diameter of the branch pipe, the calculation method can also accurately calculate the bearing capacity.
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FIG. 1 is a schematic structural diagram of the present invention.
Fig. 2 is a schematic structural diagram of the ring plate being a full ring plate.
Fig. 3 is a schematic structural view of the ring plate being a semi-ring plate.
Fig. 4 is a schematic structure diagram of 1/4 ring plates.
Detailed Description
The embodiments of the present invention will be described in detail with reference to the accompanying drawings, which are not intended to limit the present invention, but are merely exemplary. While the advantages of the invention will be apparent and readily appreciated by the description.
As shown in FIG. 1, D is the main tube diameter, T is the main tube thickness, DcTo the diameter of the pressure branch, t cIn order to be the thickness of the pressure branch pipe,dtis the tension leg diameter, ttIs the tension leg thickness, θcIs the angle between the pressure branch pipe and the main pipe, thetatIs the angle between the pressure branch pipe and the main pipe, a is the gap between the two branch pipes, hrIs the ring plate height, trIs the thickness of the ring plate, BcNominal length of stiffening plate at the side of the pressed branch pipe, BtIs the nominal length of the stiffening plate at the side of the tension branch pipeecFor the effective length of the gusset plate on the compression side, /)etThese are the basic dimensional parameters required for the nodal load capacity calculation for the effective length of the tension side nodal plate.
A method for calculating the bearing capacity of a K-shaped reinforced intersecting welding joint of a steel pipe comprises the following steps:
step 1: determining the smaller value sigma of the pressure stress of the main pipe on two sides of the node and the yield strength f of the steel of the main pipeyCalculating to obtain an intermediate parameter psin；
Intermediate parameter psinCalculated by formula (1):
Figure GDA0003641191800000051
wherein, sigma is the smaller value of the pressure stress of the main pipes at two sides of the node, and when the main pipes at two sides or one side of the node are pulled, 0 is taken;
step 2: determining the diameter d of a pressure branchcAnd the diameter D of the main pipe, calculating the pipe diameter ratio beta of the pressure branch pipe to the main pipe and the intermediate parameter psiβ；
The pipe diameter ratio beta is obtained by calculating the formula (2), and the intermediate parameter psiβThe following calculation results in:
β＝dcformula/D (2)
Figure GDA0003641191800000061
And step 3: based on the thickness T of the main pipe, the gap a between the two branch pipes, the diameter D of the main pipe and the pipe diameter ratio beta, an intermediate parameter psi is obtained through calculation a；
The intermediate parameter ψ a is calculated by formula (4):
Figure GDA0003641191800000062
and 4, step 4: based on the included angle theta between the pressure branch pipe and the main pipecMain pipe thickness T, intermediate parameter psin、ψβ、ψaDesign value f of the main pipe steel strengthmCalculating the contribution term N of the non-stiffened node part of the bearing capacity of the K-type stiffened intersecting welding node of the pressed branch pipecK；
NcKCalculated by equation (5):
Figure GDA0003641191800000063
and 5: nominal length B of stiffening plate based on pressed branch pipe sidecMain pipe diameter D, pressure branch pipe diameter DcThe included angle theta between the pressure branch pipe and the main pipecAnd calculating to obtain the effective length l of the gusset plate on the pressure receiving sideec；
Effective length l of pressure side gusset plateecCalculated by equation (6):
Figure GDA0003641191800000064
step 6: based on the diameter D of the main pipe, the effective length l of the pressure side gusset plateecDesign value f of steel strength of gusset platepThickness T of main pipe, angle theta between pressure branch pipe and main pipecThe intermediate parameter psinCalculating the contribution term N of the node plate part of the K-type node with the stiffening intersecting welding node bearing capacitycP；
NcPCalculated by equations (7) to (9):
Figure GDA0003641191800000065
Figure GDA0003641191800000066
Figure GDA0003641191800000071
wherein A iscIs the total cross-sectional area of the pressure branch pipe, fcFor the design value of the strength of the pressed branch pipe,
Figure GDA0003641191800000076
and
Figure GDA0003641191800000077
are all intermediate coefficients;
and 7: based on the diameter D of the main pipe, the thickness T of the main pipe and the thickness T of the ring platerHeight h of ring platerCalculating to obtain the contribution term N of the ring plate part of the bearing capacity of the K-type stiffening intersecting welding joint cR；
NcRCalculated by equation (10):
Figure GDA0003641191800000072
in the formula, the value of alpha is radian; when the ring plate is a full ring plate, taking alpha as 1.1 pi; when the ring plate is a semi-ring plate, an 1/4 ring plate or a ring plate is arranged, alpha is the radian of the ring plate; when the temperature is higher than the set temperature
Figure GDA0003641191800000073
When it is taken
Figure GDA0003641191800000074
Step 8, based on the K-type non-stiffened node part contribution item N with stiffened intersecting welding node bearing capacitycKK-type node plate part contribution item N with stiffening penetration welding node bearing capacitycPK-type ring plate part contribution item N with stiffening intersecting welding node bearing capacitycRCalculating to obtain the penetration welding joint bearing with stiffening rib for the K-shaped pressed branch pipeLoad force NcKPRThe tension branch pipe has a bearing capacity N of a stiffening intersecting welding jointtKPR；
K-shaped pressed branch pipe bearing capacity N of penetration welding joint with stiffening ribcKPRThe included angle theta between the tension branch pipe and the main pipe is calculated according to the formula (11)tThe tension branch pipe has a bearing capacity N of a stiffening intersecting welding jointtKPRCalculated according to equation (12):
NcKPR＝NcK+NcP+NcRformula (11)
Figure GDA0003641191800000075
Examples
Taking a typical K-type penetration welded joint with stiffening rib as an example, the basic size parameters are as follows:
the diameter D of the main pipe is 406mm, the thickness T of the main pipe is 8mm, and the diameter D of the pressure branch pipec194mm, compressed leg thickness tc8mm, diameter d of tension legt194mm, tensile leg thickness ttIs 8mm, and the included angle theta between the pressure branch pipe and the main pipecIs 50 degrees, and the included angle theta between the tension branch pipe and the main pipe tIs 40 degrees, the clearance a between the two branch pipes is 134.7mm, and the height h of the gusset platepIs 300mm, and the gusset plate thickness tpIs 8mm, adopts a full ring plate, and the height h of the ring platerIs 40mm, and the thickness t of the ring platerIs 8mm, and the nominal length B of the stiffening plate at the side of the pressed branch pipec470mm, the nominal length B of the stiffening plate at the side of the tension branch pipetIs 542mm, and the effective length l of the gusset plate at the pressure sideec173.0mm, the effective length l of the tension side gusset plateetIs 149 mm.
The joint bearing capacity of the K-type stiffened intersecting welded pressed branch pipe and the K-type stiffened intersecting welded tensioned branch pipe is calculated according to the calculation method, the joint bearing capacity of contribution effects of the joint plates and the ring plates is not considered according to section 13.3.2 of Steel Structure design Standard (GB50017-2017), and for convenience of calculation, the yield strength is adopted in calculation, the material of the main pipe is Q420, and the yield strength is 420N/mm2Design strength 375N/mm2The materials of other parts are Q355, and the yield strength is 355N/mm2Designed strength of 305N/mm2(ii) a The smaller value sigma of the compressive stress of the main pipes on the two sides of the node is 0; the results are shown in table 1, and it is very significant to explain that the contribution of the node plate and the ring plate is considered, the bearing capacity of the node is obviously improved, and the calculation of the bearing capacity of the node of the K-type stiffened intersecting welded pressed branch pipe and the tensioned branch pipe is more economic and reasonable when the calculation method of the bearing capacity of the K-type stiffened intersecting welded node of the steel pipe is used for calculating the bearing capacity of the node of the K-type stiffened intersecting welded pressed branch pipe and the stiffened branch pipe.
TABLE 1 comparison of node bearing capacity calculations
Figure GDA0003641191800000081
Other parts not described belong to the prior art.

Claims (1)

1. A method for calculating the bearing capacity of a steel pipe K-shaped penetration welding joint with stiffening comprises the following steps:
step 1: determining the smaller value sigma of the pressure stress of the main pipe on two sides of the node and the yield strength f of the steel of the main pipeyCalculating to obtain an intermediate parameter psin；
Intermediate parameter psinCalculated by formula (1):
Figure FDA0003641191790000011
wherein, sigma is the smaller value of the pressure stress of the main pipes at two sides of the node, and when the main pipes at two sides or one side of the node are pulled, 0 is taken;
step 2: determining the diameter d of a pressure branchcAnd the diameter D of the main pipe, calculating the pipe diameter ratio beta of the pressure branch pipe to the main pipe and the intermediate parameter psiβ；
The pipe diameter ratio beta is obtained by calculating the formula (2), and the intermediate parameter psiβThe following calculation results in:
β＝dcformula/D (2)
Figure FDA0003641191790000012
And step 3: based on the thickness T of the main pipe, the gap a between the two branch pipes, the diameter D of the main pipe and the pipe diameter ratio beta, an intermediate parameter psi is obtained through calculationa；
The intermediate parameter ψ a is calculated by formula (4):
Figure FDA0003641191790000013
and 4, step 4: based on the included angle theta between the pressure branch pipe and the main pipecMain pipe thickness T, intermediate parameter psin、ψβ、ψaDesign value f of the main pipe steel strengthmCalculating the contribution term N of the non-stiffened node part of the bearing capacity of the K-type stiffened intersecting welding node of the pressed branch pipe cK；
NcKCalculated by equation (5):
Figure FDA0003641191790000014
and 5: nominal length B of stiffening plate on compression branch sidecMain pipe diameter D, pressure branch pipe diameter DcThe included angle theta between the pressure branch pipe and the main pipecAnd calculating to obtain the effective length l of the gusset plate on the pressure receiving sideec；
Effective length l of pressure side gusset plateecCalculated by equation (6):
Figure FDA0003641191790000021
step 6: based on the diameter D of the main pipe, the effective length l of the pressure side gusset plateecDesign value f of steel strength of gusset platepThickness T of main pipe, angle theta between pressure branch pipe and main pipecThe intermediate parameter psinCalculating the contribution term N of the node plate part of the K-type node with the stiffening intersecting welding node bearing capacitycP；
NcPCalculated by equations (7) to (9):
Figure FDA0003641191790000022
Figure FDA0003641191790000023
Figure FDA0003641191790000024
wherein A iscIs the total cross-sectional area of the pressure branch pipe, fcFor the design value of the strength of the pressed branch pipe,
Figure FDA0003641191790000028
and
Figure FDA0003641191790000029
are all intermediate coefficients;
and 7: based on the diameter D of the main pipe, the thickness T of the main pipe and the thickness T of the ring platerHeight h of ring platerCalculating to obtain the contribution term N of the ring plate part of the bearing capacity of the K-type stiffening intersecting welding jointcR；
NcRCalculated by equation (10):
Figure FDA0003641191790000025
in the formula, alpha is radian; when the ring plate is a full ring, taking alpha as 1.1 pi; when the ring plates are 1/4 rings and semi-rings, alpha is the radian of the ring plates; when in use
Figure FDA0003641191790000026
When it is taken
Figure FDA0003641191790000027
Step 8, based on the K-type non-stiffened node part contribution item N with stiffened intersecting welding node bearing capacity cKK-type gusset part contribution item N with stiffening intersecting welding gusset bearing capacitycPK-type ring plate part contribution item N with stiffening intersecting welding node bearing capacitycRCalculating the bearing capacity N of the stiffening intersecting welding joint of the K-shaped pressed branch pipecKPRThe tension branch pipe has a bearing capacity N of a stiffening intersecting welding jointtKPR；
K-shaped pressed branch pipe bearing capacity N of penetration welding joint with stiffening ribcKPRThe included angle theta between the tension branch pipe and the main pipe is calculated according to the formula (11)tThe tension branch pipe has a bearing capacity N of a stiffening intersecting welding jointtKPRCalculated according to equation (12):
NcKPR＝NcK+NcP+NcRformula (11)
Figure FDA0003641191790000031
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