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

  1. A plain text version of the input file, and
  2. 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.

  1. An Octave script for plotting (.m file),
  2. Existing numerical predictions (.dat files).

The following data is available.

  1. The component of displacement along unit vector i2, denoted u2, at the beam's mid-point. (zip),
  2. The component of angular velocity about unit vector i1, denoted ω1, at the beam's mid-point. (zip),
  3. The component of transverse shear force in the material basis along unit vector e3, denoted F3, at the beam's mid-point. (zip),
  4. The component of bending moment about unit vector e2 in the material basis, denoted M2, at the beam's mid-point. (zip),
  5. 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),
  6. The component of axial force in the material basis, denoted F1, at the link's mid-point. (zip),
  7. The component of bending moment about unit vector e3 in the material basis, denoted M3, 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).