sm8 82

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PROBLEM (8.82) A compressed-air tank of uniform thickness t = 5-mm is subjected to an internal
pressure of p = 1.4 MPa (Fig. P8.77). Determine the maximum axial and circumferential stresses.
SOLUTION
where A= projected inside area 0:
axial a w
FA σ =⋅=
∑pA⋅
=cross-sectional area of tank
w
A
or [250 150 ](5)2
a
σ
π
+
62
1.4(10 )[250 300 (150) ] π =×+
from which
28.3
a
M
Pa
σ
=
The maximum
circumferential
stress occurs on
the sides.
0: 2(5) (250 300)
vertical c
FLp σ =⋅=+
∑L
or
6
1.4 10 (550) 77
2(5)
t
M
Pa σ
×
==
p
t
σ
t
σ
0.25 m 0.15 m 0.15 m
p
a
σ
A
w
1.5 mm
L
A
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