The effective radius is a very important factor in determining frictional torque under the bolt head and nut in bolted joints. Since the effective radius is hard to be precisely determined in practice, the mean radius, which is the mean value of the inner and outer radii of the contact area under the bolt head and nut, is used. In this paper, contact mechanics analysis is used to determine the real contact pressure distribution between the bolt head and nut and the joint surface. Based on the pressure distribution, the effective radius can be precisely calculated. The effect of the surface roughness, underhead load distribution, underhead load value, and the ratio of the maximum to minimum contact radii are investigated. The results are compared with the result from theoretical formulas and the value of mean radius. These data will be very useful in enhancing the reliability and safety of bolted joints.

1.
Motosh
,
N.
,
1976
, “
Development of Design Charts for Bolts Preloaded up to the Plastic Range
,”
ASME J. Eng. Ind.
,
98
(
3
), pp.
849
851
.
2.
Bray
,
A.
, and
Levi
,
R.
,
1966
, “
Factors Affecting Tightening Characteristics of Bolts
,”
Exp. Mech.
,
6
, pp.
409
419
.
3.
Sakai
,
T.
,
1978
, “
The Friction Coefficient of Fasteners
,”
Bull. JSME
,
21
(
152
), pp.
333
340
.
4.
Jiang
,
Y.
,
Chang
,
J.
, and
Lee
,
C.
,
2000
, “
An Experimental Study of Torque-Tension Relationship for Bolted Joints
,”
Int. J. Mater. Prod. Technol.
,
16
(
4/5
), pp.
417
429
.
5.
Hagiwara
,
M.
, and
Ohashi
,
N.
,
1994
, “
A New Tightening Technique for Threaded Fasteners
,”
Trans. ASME, Ser. C: J. Heat Transfer
,
116
, pp.
64
69
.
6.
Fukuoka
,
T.
, and
Takaki
,
T.
,
1998
, “
Mechanical Behaviors of Bolted Joint During Tightening Using Torque Control
,”
JSME Int. J., Ser. A
,
41, pp.
185
191
.
7.
Nassar, S., Barber, G. C., and Zuo, D., 2004, “Bearing Friction Torque in Bolted Joints,” 59th STLE Annual Meeting, May 17–20, Toronto, Canada.
8.
Nassar, S., Matin, P., and Barber, G. C., 2004, “Thread Friction Torque in Bolted Joints,” ASME Pressure Vessels and Piping Conference, LaJolla, California.
9.
Hu
,
Y.
,
Barber
,
G. C.
, and
Zhu
,
D.
,
1999
, “
Numerical Analysis for the Elastic Contact of Real Rough Surfaces
,”
Tribol. Trans.
,
42
(
3
), pp.
443
452
.
10.
Johnson, K. L., 1985, Contact Mechanics, Cambridge University Press, Cambridge, UK.
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