Tools › Structures › Stress Concentrations › Rounded Square Hole › Example

Savin's rounded square hole under equal biaxial tension: K_t = 6.0 at the corners

ToolRounded Square Hole
SourceSavin, G. N. (1961). Stress Concentration Around Holes, translated by E. Gros. Pergamon Press, Oxford. Chapter III, square hole with rounded corners.
LevelGraduate

Problem

The same 0.25 in square hole with 0.015 in corner radii in a 0.1 in plate carries equal normal resultants of 10,000 lb/in in x and y. Find the peak hoop stress and the stress concentration factor.

Inputs to Enter

  • N_xx = 10000 lb/in, N_yy = 10000 lb/in, N_xy = 0, t = 0.1 in (S = 100 ksi)
  • W = 0.25 in, ρ = 0.015 in, β = 0
  • r = 0.125 in, θ = 90°
Open the Rounded Square Hole tool

Answers

  • K_t = 6.0 at the four corners
  • σ_edge,max = 6.0 S = 600 ksi
  • For comparison the round hole gives 2.0 under the same state

Notes

Change the default loads to N_xx = N_yy = 10000, N_xy = 0 and the corner radius to 0.015 in.

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