Journal of Jilin University(Engineering and Technology Edition) ›› 2019, Vol. 49 ›› Issue (6): 1891-1899.doi: 10.13229/j.cnki.jdxbgxb20180737

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Calculation formula of SCF for CHS⁃CFSHS welded T⁃joints with brace under axial tension

De-lei YANG1,2(),Le-wei TONG1   

  1. 1. School of Civil Engineering, Tongji University, Shanghai 200092, China
    2. School of Architecture and Civil Engineering, University of Huanghuai, Zhumadian 463000, China
  • Received:2018-07-13 Online:2019-11-01 Published:2019-11-08

Abstract:

Based on the finite element method of SCF of CHS-CFSHS T-joints with reliable accuracy, 160 finite element models were established to calculate SCF of CHS-CFSHS T-joints when brace is under axial tension which are made up of circular hollow section (CHS) braces and concrete-filled square hollow section (CFSHS) chords. Parameters affecting SCF of the joint were analyzed. In addition, while grasping the influence law of each parameter on SCF, it proposed a calculation formula for SCF when brace is under axial tension, and made a comparison between the calculated value and finite element data. The results show that the six positions of 0°, 60° and 90° on the brace and the chord basically cover the position at which maximum SCF may occur when brace is under axial tension; and quadratic functions of β and 2γ as well as power function of τ should be included in the calculation formula of SCF. Moreover, the influences of the three parameters are coupled with each other, and the regressive calculation formulas of SCF have reliable accuracy.

Key words: structural engineering, fatigue properties, calculation formula of SCF, parameters analysis, CHS-CFSHS welded T-joints, stress concentration factors (SCF)

CLC Number: 

  • TU392.3

Fig.1

Schematic diagram of CHS-CFSHS T-joint"

Fig.2

FE mesh of a CHS-CFSHS T-joint (partial)"

Fig.3

Size of welding leg in finite element modeling"

Fig.4

load cases calculated by finite element method"

Fig.5

Extrapolation lines for calculation"

Table 1

Position distribution of maximum value of SCF"

位置 支管/% 主管/% 位置 支管/% 主管/%
0.00 11.25 60° 15.00 17.50
15° 0.00 5.00 75° 2.50 3.75
30° 0.00 5.00 90° 75.75 47.50
45° 6.25 10.00

Fig.6

Relationship between SCF14 and SCF6 "

Fig.7

Relationship between brace-side SCF and β under axial tension condition of the brace"

Fig.8

Relationship between chord-side SCF and β under axial tension condition of the brace"

Fig.9

Relationship between brace-side SCF and 2 γ under axial tension condition of the brace"

Fig.10

Relationship between chord-side SCF and 2γ under axial tension condition of the brace"

Fig.11

Relationship between brace-side SCF and τ under axial tension condition of the brace"

Fig.12

Relationship between chord-side SCF and τ under axial tension condition of the brace"

Table 2

Comparison between values from SCF formula and value from finite element"

项目 不区分焊缝类型 角焊缝 全熔透焊缝
B0 B60 B90 C0 C60 C90 C0 C60 C90

公式值/

有限元值

均值 1.116 1.046 1.039 1.016 1.084 0.988 1.015 0.971 0.949
方差 0.033 0.023 0.019 0.023 0.064 0.057 0.043 0.071 0.066
离散度 0.030 0.022 0.018 0.023 0.059 0.057 0.042 0.073 0.070
比值范围 <0.8 2.50% 0.00% 2.50% 5.00% 5.00% 11.25% 10.00% 15.00% 17.50%
0.8~0.9 6.25% 11.25% 5.00% 8.75% 11.25% 17.50% 11.25% 13.75% 11.25%
0.9~1.0 21.25% 33.75% 33.75% 36.25% 22.50% 36.25% 23.75% 28.75% 26.25%
1.0~1.1 35.00% 31.25% 37.50% 33.75% 32.50% 15.00% 31.25% 22.50% 26.25%
1.1~1.2 18.75% 13.75% 13.75% 12.50% 13.75% 8.75% 15.00% 11.25% 10.00%
>1.2 16.25% 10.00% 7.50% 3.75% 12.50% 11.25% 8.75% 8.75% 8.75%
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