2. Benchmark solution#
2.1. Calculation method#
The critical load value is given in [bib1] by the following expression:
\({F}_{\mathrm{cr}}=\frac{14.68D}{{R}^{2}}\)
with: \(D\) the flexural stiffness of the plate (in \(\mathrm{N.m}\)) defined by the following expression:
\(D=\frac{E{h}^{3}}{12(1-{\nu }^{2})}\)
This critical load is associated with a circumferential mode equal to 0.
2.2. Reference quantities and results#
For the given characteristics, the critical load is equal to:
\({F}_{\mathrm{cr}}=2668.315N/m\)
2.3. Uncertainty about the solution#
Analytical solution
2.4. Bibliographical references#
S.P. TIMOSHENKO, J.M. GERE: Elastic Stability Theory, Second Edition, DUNOD (1966)