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Research Papers

An Improved Stiffness Model for Bolted Joints

[+] Author and Article Information
Sayed A. Nassar, Antoine Abboud

Department of Mechanical Engineering, Fastening and Joining Research Institute, Oakland University, Rochester, MI 48309

J. Mech. Des 131(12), 121001 (Nov 03, 2009) (11 pages) doi:10.1115/1.4000212 History: Received July 10, 2008; Revised August 26, 2009; Published November 03, 2009; Online November 03, 2009

An improved stiffness model is proposed for bolted joints made of similar and dissimilar plates. A novel approach is used to obtain an expression for the effective area used for determining the joint stiffness. More accurate estimate of the joint stiffness provides a more reliable prediction of the joint behavior both during its initial assembly, as well as under subsequently applied tensile loads in service. The effect of the grip length-to-diameter ratio, joint sizes, underhead contact radii ratio, hole clearance, and plate material/thickness ratio are investigated. Experimental data are used for determining the envelope angle α in the proposed analytical model. Finite element modeling is used for evaluating the accuracy of the proposed stiffness model.

Copyright © 2009 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

(a) Typical model of a bolted joint and (b) approximate model of a bolted joint

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Figure 2

Conical and spherical pressure distribution envelope

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Figure 3

Half model of bolted joint for Do≥L tan α+γd

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Figure 4

Stress distribution on element dz of the joint

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Figure 5

Equivalent elastic model of the joint

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Figure 6

Half model of bolted joint for γd<Do<L tan α+γd

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Figure 7

Two plates with dissimilar materials for Do≥L tan α+γd

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Figure 8

Sample cylindrical test joints with different sizes and grip lengths

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Figure 9

Experimental setup for joint compression test

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Figure 10

Experimental data on effective area Ac

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Figure 11

FEA modeling for joint of similar material

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Figure 12

Effect of the joint diameter on the effective area Ac

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Figure 13

Effect of the joint diameter on the effective area Ac

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Figure 14

Effect of the joint diameter on the effective area Ac

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Figure 15

Effect of the contact radii ratio on Ac for Do≥(L tan α+γd)

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Figure 16

Effect of the contact radii ratio on Ac for γd<Do<(L tan α+γd)

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Figure 17

Effect of the hole clearance on Ac

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Figure 18

Effect of the hole clearance on Ac

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Figure 19

Effect of the thickness ratio on the joint stiffness kc for Do≥(L tan α+γd)

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Figure 20

Effect of the thickness ratio on the joint stiffness kc for Do≥(L tan α+γd)

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Figure 21

Effect of the thickness ratio on the joint stiffness kc for γd<Do<(L tan α+γd)

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Figure 22

Effect of the thickness ratio on the joint stiffness kc for γd<Do<(L tan α+γd)

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Figure 23

Eccentric bolt holes in cylindrical and square joints

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