sm8 95

_______________________________________________________________________
PROBLEM (8.95) Redo Prob. 8.94 for a vessel (see Fig. P8.94) with the following given numerical
values:
d = 2r = 1.2 m, t = 12 mm,
φ
= 40o , p = 2 MPa
SOLUTION
(a) Principal stresses
6
(2 10 )(0.6) 100
0.012
tpr
M
Pa
t
σ
×
== =
50
2t
a
M
Pa
σ
σ ==
(b) In-plane maximum shear stress
max 1()25
2ta
M
Pa τσσ =−=
(c) Absolute maximum shear stress
max 1(0)50
2t
M
Pa τσ =−=
(d) 50 100 0
xa yt xy
MPa MPa
σ
σσσ == == = τ
+ =−
For
θ =−
90 40 50 :
oo o
'11
( ) ( )cos2 75 4.34 79.34
22
x
xy xy MPa w
σ
σσ σσ θ σ =++− =+= =
'' 1( )sin2 24.6
2
x
yxy MPa w
τ
σσ θ τ =− − =− =
''
91.1
yxyx
M
Pa
σ
σσσ =+− =
50 MPa 24.6 MPa
x
’
50o
100 MPa
Weld
x
58.9 MPa
y
’
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