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Research Papers: Design and Analysis

# Finite Element Analysis of the Mechanical Behavior of Multibolted Joints Subjected to Shear Loads

[+] Author and Article Information
Toshimichi Fukuoka

Kobe University,
Fukaeminami 5-1-1,
Kobe, Hyogo 658-0022, Japan
e-mail: fukuoka@maritime.kobe-u.ac.jp

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received November 15, 2016; final manuscript received July 6, 2018; published online August 2, 2018. Assoc. Editor: Reza Adibi-Asl.

J. Pressure Vessel Technol 140(5), 051201 (Aug 02, 2018) (7 pages) Paper No: PVT-16-1211; doi: 10.1115/1.4040891 History: Received November 15, 2016; Revised July 06, 2018

## Abstract

When subjected to external forces, bolted joints behave in a complex manner especially in the case of the joints being clamped with multiple bolts. Friction type joints are widely used for the joints subjected to shear loads. Bearing type joints, which support the shear loads on the bolt cylindrical surface, are used less frequently, since its mechanical behavior is too complicated to accurately estimate the load capacity. In this study, mechanical behavior of the bearing type multibolted joints subjected to shear loads is analyzed by three-dimensional (3D) FEM. As a result of comprehensive calculations, it has been found that the shear load applied to bearing type joints distributes with a concave shape along the load direction, and a fair amount of the shear load is supported by friction forces as in the case of friction type joints. In addition, a simple method that calculates the shear load distribution using elementary theory of solid mechanics is proposed, which can estimate the shear load distribution with sufficient accuracy especially for the case of small friction coefficient.

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## References

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## Figures

Fig. 1

Classification of bolted joints subjected to shear loads according to contact conditions: (a) friction type joint and (b) bearing type joint

Fig. 2

Classification of bolted joints subjected to shear loads according to bolt arrangement: (a) chain bolted joint and (b) zigzag bolted joint

Fig. 3

Equilibrium of normal and friction forces in bearing type joints

Fig. 10

Critical conditions determining the type of joint

Fig. 9

Shear load bearing ratio in case of chain bolted joints with multiple parallel rows

Fig. 8

Ratio of shear loads supported by each bolt as bearing force

Fig. 7

Ratio of shear loads supported by bearing and friction forces

Fig. 6

Effect of friction coefficient on shear load bearing ratio

Fig. 5

Effect of the number of bolts in the load direction on shear load bearing ratio: (a) μ = 0.07 and (b) μ = 0.2

Fig. 4

Finite element models of multibolted joints: (a) m = 1, n = 5, and (b) m = 3, n = 5

Fig. 11

Mises stress distributions in bearing type joints: (a) μ = 0.07, (b) μ = 0.20, (c) μ = 0.07 (No. 5 bolt), and (d) μ = 0.20 (No. 5 bolt)

Fig. 12

Spring models for calculating shear load bearing ratio of bearing type joints: (a) analytical model and (b) spring model

Fig. 13

Evaluation of bolt bending stiffness and plate stiffness: (a) bolt bending stiffness kbm and (b) plate stiffness between bolt holes kplc

Fig. 14

Comparison of shear load bearing ratio obtained by FEM and elementary method

## Errata

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