015 Plate Buckling Effect Of Stiffeners Part1

A plate with a thickness of 𝑡, length of 𝐿, and height of 𝐻 is supported by three edges. The supports are assumed to be linear hinges. The plate is under a compressive linear load on its edges in the x direction, as shown in the figure.

1. Consider the plate is not stiffened and determine the critical buckling load 𝑁𝑐𝑟.𝑥.
2. Assume there are 𝑛 plates as stiffeners on both sides of the plate with the same plate thickness and width of b on each side extended in the x direction and discrete equal spacing in the y direction. Determine the buckling load 𝑁𝑐𝑟.𝑥 with 𝑛 interval stiffeners.

After the parametric solution:

Assume the length and height of the plate are 5m and 3m, respectively. If the material is steel with a modulus of elasticity of 𝐸=210𝐺𝑃𝑎 and the Poisson ratio of 𝑣=0.3 by a thickness of 5mm plate:

1. What would be the critical buckling load of the plate without any stiffeners?
2. What is the critical buckling load if two stiffeners are used in two rows with the same thickness and 50mm width on each side? Assume the plate is under a compression force 𝑁𝑥=5𝑘𝑁/𝑚. If the buckling capacity of the plate is expected to be ten times greater than the applied load:
3. Determine the required plate thickness without any stiffener.
4. Determine the required plate thickness using two rows of stiffeners with 50mm width on each side.

Link to the description and detailed solution notes: Download