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Frontiers of Structural and Civil Engineering

ISSN 2095-2430

ISSN 2095-2449(Online)

CN 10-1023/X

邮发代号 80-968

2019 Impact Factor: 1.68

Frontiers of Structural and Civil Engineering  2024, Vol. 18 Issue (4): 568-586   https://doi.org/10.1007/s11709-024-1064-4
  本期目录
Development of component stiffness equations for thread-fixed one-side bolt connections to an enclosed rectangular hollow section column under tension
Fu-Wei WU1, Yuan-Qi LI1,2()
1. Department of Structural Engineering, Tongji University, Shanghai 200092, China
2. State Key Laboratory of Disaster Reduction in Civil Engineering, Tongji University, Shanghai 200092, China
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Abstract

The derivation and validation of analytical equations for predicting the tensile initial stiffness of thread-fixed one-side bolts (TOBs), connected to enclosed rectangular hollow section (RHS) columns, is presented in this paper. Two unknown stiffness components are considered: the TOBs connection and the enclosed RHS face. First, the trapezoidal thread of TOB, as an equivalent cantilevered beam subjected to uniformly distributed loads, is analyzed to determine the associated deformations. Based on the findings, the thread-shank serial-parallel stiffness model of TOB connection is proposed. For analysis of the tensile stiffness of the enclosed RHS face due to two bolt forces, the four sidewalls are treated as rotation constraints, thus reducing the problem to a two-dimensional plate analysis. According to the load superposition method, the deflection of the face plate is resolved into three components under various boundary and load conditions. Referring to the plate deflection theory of Timoshenko, the analytical solutions for the three deflections are derived in terms of the variables of bolt spacing, RHS thickness, height to width ratio, etc. Finally, the validity of the above stiffness equations is verified by a series of finite element (FE) models of T-stub substructures. The proposed component stiffness equations are an effective supplement to the component-based method.

Key wordsinitial stiffness    component based method    thread-fixed one-side bolt    rectangular hollow sections    analytical equation
收稿日期: 2022-10-09      出版日期: 2024-06-13
Corresponding Author(s): Yuan-Qi LI   
 引用本文:   
. [J]. Frontiers of Structural and Civil Engineering, 2024, 18(4): 568-586.
Fu-Wei WU, Yuan-Qi LI. Development of component stiffness equations for thread-fixed one-side bolt connections to an enclosed rectangular hollow section column under tension. Front. Struct. Civ. Eng., 2024, 18(4): 568-586.
 链接本文:  
https://academic.hep.com.cn/fsce/CN/10.1007/s11709-024-1064-4
https://academic.hep.com.cn/fsce/CN/Y2024/V18/I4/568
Fig.1  
Fig.2  
BoltPitch (p)d0dmdH
M121.7510.10610.86312.01.515544
M162.0013.83514.70116.01.732051
M202.5017.29418.37620.02.165063
Tab.1  
Fig.3  
Fig.4  
BoltThreadzth (mm)c (mm)Ieq (mm4)δb ( × 10?8 mm)Aeq (mm2)δv ( × 10?7 mm)kthread ( × 106 N/mm)
M12internal0.94700.56880.16024.5401.09641.3592.40
external0.50580.08317.2520.85311.627
M16internal1.08250.65000.23923.3651.25301.0073.24
external0.57800.12405.3740.97501.205
M20internal1.35300.81250.46722.6921.56638.0554.05
external0.72250.24224.2991.21889.643
Tab.2  
Fig.5  
Fig.6  
nM12 boltknThreadFEMErrorM16 boltknThreadFEMErrorM20 boltknThreadFEMError
3kthread = 2.40ki0 = 4.01kshank = 9.171.831.811.2%kthread = 3.24ki0 = 7.52kshank = 15.033.002.748.7%kthread = 4.05ki0 = 11.74kshank = 18.794.083.758.0%
41.881.89?0.5%3.122.935.9%4.254.044.9%
51.901.92?1.1%3.163.024.7%4.314.173.5%
61.911.93?1.3%3.183.063.9%4.344.222.9%
71.911.93?1.2%3.193.073.8%4.354.242.6%
81.911.93?1.1%3.193.073.9%4.364.242.7%
91.911.93?1.1%3.193.073.9%4.364.242.8%
101.911.93?1.1%3.193.073.9%4.364.242.8%
Tab.3  
Fig.7  
GeometryLAB/LBC variable (2LAB/LBC = )LAB/tAB variable (2LAB/tAB = )LBC/tBC variable (LBC/tBC = )
0.71.01.416.712.510.016.712.510.0
2LAB (mm)140200280200200200200200200
LBC (mm)200200200200200200200200200
tAB (mm)16.016.016.012.016.020.016.016.016.0
tBC (mm)20.020.020.020.020.020.012.016.020.0
IAB (mm4)341.3341.3341.3144.0341.3666.7341.3341.3341.3
IBC (mm4)666.7666.7666.7666.7666.7666.7144.0341.3666.7
Eq. (18) values (N·m/rad)2178.52135.92103.12065.02135.92222.2510.11137.82135.9
FEM simplified (N·m/rad)2178.52135.92103.12065.02135.92222.2510.11137.82135.9
error0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%
Tab.4  
Fig.8  
Fig.9  
Geometry (bt = 0)Case 1Case 2Case 3Case 4Case 5Case 6Case 7Case 8Case 9
at/a0.30.40.50.60.70.30.40.50.6
wRHS (mm)140140140140140200200200200
tw (mm)161616161612121212
b (mm)210210210210210200200200200
tc (mm)161616161616161616
LRHS (mm)242242242242242232232232232
a (mm)108108108108108176176176176
kr1 (× 105 N/mm)17.8617.8617.8617.8617.865.275.275.275.27
kr2 (× 105 N/mm)17.2817.2817.2817.2817.2811.8311.8311.8311.83
S1.2081.1831.1611.1421.1271.0421.0211.0020.986
w1 (× 10?6 mm)2.211.971.691.381.0510.439.287.966.51
w2 (× 10?6 mm)?0.08?0.07?0.06?0.05?0.04?2.32?2.11?1.84?1.53
w3 (× 10?6 mm)?0.60?0.55?0.48?0.40?0.31?2.13?1.93?1.69?1.40
kRHS (× 105 N/mm)6.537.418.7110.7314.191.671.912.262.80
kFEM (× 105 N/mm)6.087.018.4010.4413.541.551.862.343.09
error7.40%5.67%3.67%2.85%4.77%8.17%2.66%?3.31%?9.34%
Tab.5  
Fig.10  
Fig.11  
Fig.12  
Fig.13  
Fig.14  
Fig.15  
No.at/akRHSkBoltkTstubkAnakFEMError
ktobkbarkTOBkTstub-flangekTstub-web
S-140-140-160.510.5031.906.798.96593.5348.004.364.077.02%
0.613.0031.906.798.96259.4448.004.694.338.24%
S-140-210-160.58.7131.906.798.96593.5348.004.023.796.02%
0.610.7031.906.798.96259.4448.004.354.106.26%
S-140-290-160.58.6831.906.798.96593.5348.004.013.747.31%
0.610.7031.906.798.96259.4448.004.354.047.85%
S-200-200-120.52.2631.807.129.3074.1948.001.711.4914.52%
0.62.8031.807.129.3037.1948.001.951.7014.71%
Tab.6  
Fig.16  
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