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Ballistics, 2nd Edition
book

Ballistics, 2nd Edition

by Donald E. Carlucci, Sidney S. Jacobson
August 2013
Intermediate to advanced content levelIntermediate to advanced
608 pages
21h 36m
English
CRC Press
Content preview from Ballistics, 2nd Edition
172 Ballistics: Theory and Design of Guns and Ammunition
For an open-ended tube σ
1
= 0 and Equation 5.4 becomes
σσ
σσ σ
Y
22
23
2
=− +
23
(5.5)
Recalling Lamé’s formulas for stress in a thick-walled tube
σ
θθ
==
+
()
()
σ
2
1
2
2
22
22
p
r
r
rr
rr
rr
i
o
oi
i
,maximum at =
(5.6)
σ
rr i
o
oi
p
r
r
rr
rr
rr
==
()
()
σ
3
1
2
2
22
22
,maximum at =
(5.7)
Let us put Lamé’s formulas into a more useful form by letting
ζζ
=>
=>
r
r
r
r
o
ii
11
and
x
(5.8)
then
σ
ζ
ζζ
ζ
θθ
==
+
()
σ
2
2
2
1
1
p
i
x
2
x
2
(5.9)
σ
ζ
ζζ
ζ
rr i
p==
()
σ
3
2
2
1
1
x
2
x
2
(5.10)
and
σ
ζ
ζ
θθ
max max
at = ==
+
σ
2
2
2
1
1
pr
r
ii
(5.11)
σ
rr
ii
prr
max max
at = ==
σ
3
(5.12)
Failure is considered to have occurred when the equivalent stress, σ
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Publisher Resources

ISBN: 9781466564374