2. Benchmark solution#

2.1. Calculation method used for the reference solution#

For the gravity load case alone:

The value of the radial displacement field, as a function of \(z\), is given by:

_images/Object_1.svg

The maximum displacement, in the middle section, is equal to:

_images/Object_2.svg

For the case of pressure load, a comparison is made with the results of the C modeling.

2.2. Benchmark results#

  1. Movement in the middle section, \(\mathrm{ur}(E)=0.3566\times {10}^{-6}m\)

  2. Embedding constraints at point B: \({\sigma }_{\mathrm{zz}}=–0.2496\times {10}^{6}\mathrm{Pa}\)

2.3. Uncertainty about the solution#

Analytical solution for gravity.

2.4. Bibliographical reference#

    1. TIMOSHENKO: Material strength, part 1. Librairie Polytechnique Ch.Béranger, Paris, 1947