14185  W
16.0018.00
Name: __________________________
EM 319 – Fall 2011
Quiz 11
A pressurized cylinder has a helical weld at an angle α = 30° as shown in the figure. The tank has a radius
r = 0.5 m, wall thickness t = 20 mm, and internal pressure p = 3 MPa. First, find the circumferential and
longitudinal stresses, then transform the stresses to show the normal and shear stresses acting on a stress
element that is aligned with the weld.
p
3 10
6
⋅
:=
α
30
π
180
⋅
:=
r
0.5
:=
t
0.02
:=
σ
y
p r
⋅
t
:=
σ
x
p r
⋅
2 t
⋅
:=
σ
y
7.5
10
7
×
=
σ
x
3.75
10
7
×
=
τ
xy
0
:=
θ
π
2
α
−
:=
σ
xp
σ
x
σ
y
+
2
σ
x
σ
y
−
2
cos 2
θ
⋅
(
)
⋅
+
τ
xy sin 2
θ
⋅
(
)
⋅
+
:=
σ
yp
σ
x
σ
y
+
2
σ
x
σ
y
−
2
cos 2
θ
⋅
(
)
⋅
−
τ
xy sin 2
θ
⋅
(
)
⋅
−
:=
τ
xyp
σ
x
σ
y
−
(
)
−
2
sin 2
θ
⋅
(
)
⋅
τ
xy cos 2
θ
⋅
(
)
⋅
+
:=
σ
xp
6.563
10
7
×
=
σ
yp
4.688
10
7
×
=
τ
xyp
1.624
10
7
×
=
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14202  W
18.0020.00
Name: __________________________
EM 319 – Fall 2011
Quiz 11
A pressurized cylinder has a helical weld at an angle α = 20° as shown in the figure. The tank has a radius
r = 0.75 m, wall thickness t = 10 mm, and internal pressure p = 3.5 MPa. First, find the circumferential
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 Fall '08
 KennethM.Liechti
 σx, Σy, τxy ⋅sin

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