_______________________________________________________________________
PROBLEM (8.87) A spherical vessel of 1.6-m inner diameter is constructed by joining two
hemispheres with 40 equally spaced bolts (Fig. P8.82). The vessel will operate at an internal pressure of
600 kPa. Calculate the bolt diameter d and the vessel thickness t.
Given: The allowable stresses for the bolts and sphere wall equal 100 and 50 MPa, respectively.
SOLUTION
Free Body: Hemisphere
Initial tightening
of bolts are omitted.
0: 40
yb
FF==
∑pA; 62 3 2
40[100 10 ( )] 600 10 [ (0.8) ]
4d
π
π
×=×
Solving 19.6dm=m
We have
3
6
600 10 (800)
22(5010
)
4.8 mm
all
pr
t
σ
×
== ×
=
y
p
A
t
F
F
b
0.8 m
b
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