Shallow Angled Beam Structure

Author: Klaus B. Sautter

Kratos version: 5.2

Source files: Beam Shallow-angled Structure

Problem definition

As the effect of bending on the shorting of the beam element is not included in the underlying co-rotational beam theory, the following example shows, how this effect can be modeled with the help of multiple beam elements. For that purpose the following shallow angled beam is investigated:

Statical System [1]

With L = 10, h = 0.24, E = 210E09, ν = 0.30, A = 0.01 and Iz=Iy=IT = 3.34E-05. Whereas the load F is linearly increased.

Results

The following deformation (exaggerated) animation of the Kratos is provided for context:

The results of the vertical deformation of the middle node are given in the following graph, where both the axes are scaled:

Vertical Displacement of the middle top node

References

1. Steen Krenk. Non-linear modeling and analysis of solids and structures. Cambridge Univ. Press, 2009., pp. 116-117.