The Volume Calculation
uses the unchanged volume of the undriven and driven rivet to determine
the original rivet lenth. The driven shop head should have a diameter
of 1.5 * D (1.33 for thin sheet metal) and a height of 0.5 * D (0.66
for thin sheet metal).
The 1.5 * D Rule is an unprecise approximation and
says the undriven rivet should stick out 1.5 * D after you placed it
into the hole. The Volume Calculation is the preferred method.
The following explains the Volume Calculation:
(I) Volume of a cylinder:
V = 1/4 * D2
* Π * L
where:
D = diameter of the cyclinder
L = length of the cylinder
(II) Volume (driven) = Volume (undriven, original):
1/4 * D2driven
head * Π * Ldriven head + 1/4
* D2 * Π * (A + B) = 1/4
* D2 * Π * L
where:
Ddriven head
= diameter of the driven head (upset dimension)
Ldriven head
= height of the driven head
D = diameter of the rivet shaft
L = original length of the undriven rivet
Rules for the upset dimensions:
(III) Ddriven head
= 3/2 * D and (IV) Ldriven
head = 1/2 * D
(III) and (IV) inserted into (II):
1/4 * 9/4 * D2
* Π * 1/2 * D + 1/4 * D2 * Π
* (A + B) = 1/4 * D2 * Π * L =>
1/4 * D2 * Π * (9/8 * D + A + B)
= 1/4 * D2 * Π * L =>
9/8 * D + A + B = L =>
L = 9/8 * D + A + B
For thin skinned aircraft with the 1.33/0.66 rule the resulting
formula is:
L = 32/27 * D + A + B
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