The Diameter and Pitch of Rivets
As for a single riveted seam, with the rivet in single shear, the shear strength at failure of a 20 mm diameter rivet is about 10 tonnes and, therefore, the shear strength of a rivet of any diameter is given by:
Fs = 10(d/20)2 If the shear strength of the steel plate is 0.028 t/mm2 tonnes (3) , then, with the rivet’s centreline 1.5 d
from the plate’s edge and the plate in double shear, the force required to shear the plate from the edge of the rivet hole to the plate’s edge in the wake of the rivet (the bearing surface) is given by: -
Fp = d/tp
= ≈
0.028 x 2 x dtp
The two forces are assumed to be equal, therefore: 10(d/20)2
0.028 x 2 x dtp 2 (4a)
That would mean that for a vessel plated in 6 mm thick mild steel, the rivets should be 12 mm in diameter and, when inspecting a riveted vessel, the marine surveyor should keep that fact in mind in those areas subject to the maximum shear forces. The length of the rivet before fitting is usually twice the diameter plus 30 if the hole is countersunk and 24 if not.
With double riveted seams the marine surveyor should consider a strip of a double zig-zag rivets shell plating butt as shown above in Figure 8 with a width equal to the rivet pitch p.
Then the resistance to tearing is: Rt
=
the resistance to shearing is: Rs
=
and the resistance to crushing is: - Rc
= (p – d)tp σt kg/cm2 (5) 2πd2σs/4 2dtp σc kg/cm2 (6) kg/cm2 (7) If the lap joint has n rows of rivets, the factor 2 in Formulae 7 should be changed to n.
A little thought would suggest that the three resistances given above in a good joint should be as near as possible equal. Realistically, however, it is only possible to equate Formulae (6) and (7). By equating those two Formulae to each other a useful relation for the diameter of the rivet to be used is obtained and that is:
dtpσc = in single shear d
and, in double shear d
d and = =
= =
1.274σc.tp 0.837σc Generally, τs may be taken as 60 N/mm2 .tp / τs /τs and σc 2.75tp 1.37tp as 130 N/mm2 mm mm giving:
in single shear mm in double shear mm
(10a) (10b)
As a common practice for plate thickness greater than 8 mm the diameter of rivet hole is often determined by Unwin’s formula which gives: -
d = tp½ mm 48 | The Report • June 2021 • Issue 96 (11) (9a) (9b) π/4 x d2τs Substituting the suggested relationships of σc and τs - given above that reduces to: (8) tonnes (4)
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