2. Benchmark solution

2.1. Calculation method used for the reference solution

The reference solution is obtained numerically. It is therefore only a non-regression test.

2.2. Modeling results

The optimal value of the radius of curvature, complying with criterion \({\sigma }_{\mathrm{mises}}<{2.10}^{9}{\mathrm{N.m}}^{-2}\), is \(\mathrm{1.1m}\), obtained after 5 iterations. At each iteration the radius of curvature is increased by \(0.2m\).

Iterations	Radius of curvation	Max Von Mises stress
1	\(0.3m\)	\(3.3315E+09N/{m}^{2}\)
2	\(0.5m\)	\(2.7647E+09N/{m}^{2}\)
3	\(0.7m\)	\(2.4256E+09N/{m}^{2}\)
4	\(0.9m\)	\(2.1727E+09N/{m}^{2}\)
5	\(1.1m\)	\(1.9670E+09N/{m}^{2}\)

2.3. Uncertainty about the solution

Non-regression solution.