1. Overall description of the problem
If a beam is bent in its plane of greatest flexural rigidity, lateral buckling will occur when a critical value of the transverse load is reached.
2. Input file
The input file for Dymore 4.0 is available in two formats
- A plain text version of the input file, and
- A web version of the input file.
3. Numerical results
Numerical predictions can be downloaded here for the lateral buckling of a beam. Each archive (in .zip format) contains the following information.
- An Octave script for plotting (.m file),
- Existing numerical predictions (.dat files).
The following data is available.
- The component of displacement along unit vector i_{2}, denoted u_{2}, at the beam's mid-point. (zip),
- The component of angular velocity about unit vector i_{1}, denoted ω_{1}, at the beam's mid-point. (zip),
- The component of transverse shear force in the material basis along unit vector e_{3}, denoted F_{3}, at the beam's mid-point. (zip),
- The component of bending moment about unit vector e_{2} in the material basis, denoted M_{2}, at the beam's mid-point. (zip),
- The rotation at the beam's mid-point, denoted θ. The beam's Euler angles (sequence 3-1-2) in the inertial basis are computed and the second angle of the sequence is plotted. (zip),
- The component of axial force in the material basis, denoted F_{1}, at the link's mid-point. (zip),
- The component of bending moment about unit vector e_{3} in the material basis, denoted M_{3}, at the link's mid-point. (zip).
5. Movies
The visualization of this benchmark problem simulated by Dymore 4.0 was captured on screen using camstudio.
- Visualize the movie in you browser (Be patient 4.1Mb file), or
- Download a zip archive of the avi file containing the same movie (Be patient 7.5Mb file).