Stresses in cylinders, pipes and vessels
Outer diameter d
10
-3
m
Inner diameter d
i
10
-3
m
Inner pressure p
i
10
6
Pa
Modulus of elasticity E
10
9
Pa
Poisson's ratio v
10
9
Pa
Wall thickness
10
-3
m
Cross section A
10
-3
m
2
Tangential stress
σ
(d
i
)
10
9
Pa
Tangential stress
σ
(d)
10
6
Pa
Von Mises stress
σ
e
(d
i
) = (σ
t
2
+σ
r
2
-σ
t
σ
r
)
1/2
10
6
Pa
Von Mises stress
σ
e
(d) = (σ
t
2
+σ
r
2
-σ
t
σ
r
)
1/2
10
6
Pa
Diametric expansion δ
10
-3
m
Based on Lame's equation for open-ended cylinders
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