sm8 98

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PROBLEM (*8.98) A cylindrical tankof inner diameter d is constructed with a steel plate having
thickness t welded along a helix forming an angle
φ
with the longitudinal axis (Fig. P8.97). Calculate
the internal pressure p that will cause a shear stress w
τ
parallel to the weld, using Mohr’s circle.
Given: d = 2r = 600 mm, t = 10 mm,
φ
= 70o , w
τ
= 40 MPa
*SOLUTION
70
2o
t
ta
pr
t
σ
σσθ ===−
2
ta
p
r
t
σσ ==
13
()
24
avg t a t
σ
σσ σ =+=
11
()
24
ta
Rt
σ
σσ =−=
sin40 0.161 0.161
o
wt
p
r
Rt
τσ ===
Therefore,
6(300)
40(10 ) 0.161 10
p
=, 8.28
p
MPa
=
140o
x’
C
O
σ
τ σav
g
σ
σ
a
t
R
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