Plate buckling applet

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This applet make use of 2. order plate theory in order to calculate the critical stress for a plate with a given geometry and material properties. The theory behind this example can be found here. Below you can find a brief overview of the different in- and output data and a short "how to" for the applet.

Input data - The input data is submitted by filling in the white boxes at the top of the screen and subsequently pressing the "Calculate"-button at the bottom of the screen.
  • Length of plate in mm
  • Breadth of plate in mm
  • Youngs modulus in MPa
  • Plate thickness in mm
  • Poisson's ratio, no dimension. This value cannot be altered.
  • Kappa, no dimension. This value is found from the graph.
Output data
  • Kappa, no dimension. This value is found from the graph. The blue line indicates the approximated value and the red line returns the exact (numerical) value for kappa.
  • Critical sigma value. This value is returned below the graphs.
  • Deformed plate. A figure showing the deformed plate is shown at the left side of the screen. It is important to mention that this figure only shows the pattern of the deformation, and DOES NOT separate between large and small deformations. However, the geometry will change depending on the input data.
How to use the applet
  • Specify the desired input data and press "Calculate".
  • Find the value for Kappa from the graph, and enter this value in the "Kappa"-field.
  • Press "Calculate" once more and the critical stress for this case will be returned together with a graphical presentation of the deformed plate.
NB: The vertical red line appearing on the screen corresponds to the submitted value for Kappa, and is used to "fine tune" the selection of Kappa. Remember that the red x-axis corresponds to the red curves and the vertical red line, whilst the blue x-axis corresponds to the approximated blue curves. There is NO connection between the blue curves and vertical red line.

Press here to start the applet.