For the thick-walled open-ended cylindrical pipe subjected to internal pressure shown in...

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, σ_θ, 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.