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Research Papers

Finite Element Based Member Stiffness Evaluation of Axisymmetric Bolted Joints

[+] Author and Article Information
Raju Sethuraman1

Department of Mechanical Engineering, Indian Institute of Technology Madras, Chennai 600036, Indiasethu@iitm.ac.in

T. Sasi Kumar

Department of Mechanical Engineering, Indian Institute of Technology Madras, Chennai 600036, India

1

Corresponding author.

J. Mech. Des 131(1), 011012 (Dec 16, 2008) (11 pages) doi:10.1115/1.3042147 History: Received December 08, 2007; Revised September 26, 2008; Published December 16, 2008

For a reliable design of bolted joints, it is necessary to evaluate the actual fraction of the external load transmitted through the bolt. The stiffness of the bolt and the member of the joint decide the fractions of external load shared by the bolt and the member. Bolt stiffness can be evaluated simply by assuming the load flow to be uniform across the thickness and the deformation is homogeneous. Then, bolt may be modeled as a tension member and the stiffness can be easily evaluated. But, the evaluation of the member stiffness is difficult because of the heterogeneous deformation. In the present work, joint materials are assumed to be isotropic and homogeneous, and linear elastic axisymmetric finite element analysis was performed to evaluate the member stiffness. Uniform displacement and uniform pressure assumptions are employed in idealizing the boundary conditions. Wide ranges of bolt sizes, joint thicknesses, and material properties are considered in the analysis to evaluate characteristic behavior of member stiffness. Empirical formulas for the member stiffness evaluation are proposed using dimensionless parameters. The results obtained are compared with the results available in the literature.

Copyright © 2009 by American Society of Mechanical Engineers
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References

Figures

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Figure 10

Variation in R with member diameter (UPA)

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Figure 11

Finite element model with contact between members

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Figure 12

Dimensionless stiffness versus aspect ratio plot for single member with displacement constraint at joint midplane and two members with contact for UPA (bolt size M36)

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Figure 13

Comparison of various formulas for bolt size M10, dw/dh=1.43, and λm/E=0.58

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Figure 14

Comparison of various formulas for bolt size M20, dw/dh=1.43, and λm/E=0.58

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Figure 15

Comparison of various formulas for bolt size M30, dw/dh=1.45, and λm/Em=0.58

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Figure 16

Comparison of member stiffness calculated by Shigley and Mitchell’s (3) formula using different cone angles with the proposed formula (bolt size M20)

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Figure 17

Comparison of member stiffness calculated by VDI formula using different cone angles with the proposed formula (bolt size M20)

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Figure 1

Schematic of a bolted joint with conical assumption of the clamp zone

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Figure 2

Axisymmetric half model of the bolted joint

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Figure 3

Schematic finite element mesh

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Figure 4

Displacement contours with UDA (M20 joint, L=40 mm)

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Figure 5

Displacement contours with UPA (M20 joint, L=40 mm)

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Figure 6

Variation in R with dw/L for bolt size M20 (UDA)

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Figure 7

Variation in R with dw/L for bolt size M20 (UPA)

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Figure 8

Variation of R with λm/Em for bolt size M 20 (UDA)

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Figure 9

Variation in R with λm/Em for bolt size M 20 (UPA)

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