016 Plate Buckling Effect Of Stiffeners Part2

A rectangular plate with the dimensions of a and b is subjected to pure shear force, as shown in the figure. Assume the deformation shape function in shear buckling is:

𝑤 = 𝑤0. sin (𝜋𝑥/𝑎) . sin (𝜋𝑦/𝑏) . sin (𝜋𝑥/𝑎−𝜋𝑦/𝑏)

1. Derive the total potential energy
2. Determine the integration domain.
3. Solve the total potential energy and find the buckling load
4. If the plate is with a thickness of 6mm, 𝑎 = 2𝑚, and 𝑏 = 1𝑚, assuming 𝐸 = 200𝐺𝑃𝑎, 𝑣 = 0.3 determine the critical buckling load and compare the results with the given equations in codes.

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