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Main >> Applications >> Sample problems

Perforated plate - QuickField simulation example

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

Engineering question

How to find stress concentration around hole in plate?

Answer
Set up a plane-parallel QuickField Stress Analysis problem for a perforated plate and evaluate stress concentration from computed field results.

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Typical applications
perforated structural plates, mechanical sheet components, stress concentration specimens

Perforated plate

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Simulation problem

Problem Type
Plane-parallel problem of stress analysis.

Geometry
Perforated plate A thin rectangular sheet with a central hole subject to tensile loading. Model Loading 40 N/mm² 180 mm 5 mm 240 mm R 30mm

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.
stress distribution in the perforated plate

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