2. Benchmark solution#

2.1. Calculation method used for the reference solution#

Analytical solution for each of the 4 loading cases:

In beam theory, within the framework of the Euler-Bernouilli hypotheses, the solution of the reference problem is that of a straight beam subjected to forces and moments at one end and embedded at the other end:

Traction:

Twist:

Bending around

2.2. Benchmark results#

Traction:

Twist:

Bending around:

Note:

The use of the shell-beam connection for embedding and for loads makes it possible to remain within the framework of the Euler-Bernouilli hypothesis (cf. [R3.03.06]). The previous analytical solution is therefore the reference solution to the problem.

2.3. Uncertainty about the solution#

Analytical solution.