Perforated plate

QuickField simulation example

A thin rectangular sheet with a central hole subject to tensile loading.

Problem Type
Plane-parallel problem of stress analysis.

Geometry

Length: 240 mm;
Width: 180 mm;
Radius of central opening: 30 mm;
Thickness: 5 mm.

Given
Young's modulus E = 207000 N/mm²
Poisson's ratio ν = 0.3.
The uniform tensile loading (40 N/mm²) is applied to the bottom edge of the structure.

Task
Determine the concentration factor due to presence of the central opening.

Solution
Due to mirror symmetry one quarter of the structure is presented, and internal boundaries are restrained in X and Y directions respectively.
The concentration factor may be obtained from the loading stress (40 N/mm²) and the maximum computed stress (146 N/mm²) as k = 146 / 40 = 3.65.

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