For the thick-walled open-ended cylindrical pipe subjected
to internal pressure shown in Figure P9–19, use five layers of elements to
obtain the circumferential stress, sy, and the principal stresses and maximum
radial displacement. Compare these results to the exact circumferential stress
and radial displacement equations given by
where
P
i
= inner pressure, P0 = outer pressure (set to
zero in this problem)
a = inner radius of vessel, b = outer radius of vessel, r =
any radial location
Let E = 205 GPa and n = 0.3.
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