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Plate with a Hole — Stress Concentration (Kt) Calculator

PartialIntermediateANSYSSW SimGeneralStress concentrationMaterials

What you'll get

Get Kt, the peak stress at the hole and a safe/marginal/yields verdict for a plate with a central hole in tension — then check the full hand calculation.

A hole in a plate under tension doesn't just remove material — it concentrates stress at the hole edge. This calculator gives you the stress concentration factor Kt for a plate of finite width, the peak stress, and whether the plate stays elastic.

How to use it

  • Enter the plate width W, hole diameter d, thickness t and the axial load P.
  • Pick a material, or choose Custom and enter the yield strength.
  • Results update as you type. Units are mm, N and MPa.

Solve it by hand first, then validate the same plate in ANSYS or SolidWorks Simulation.

Plate of width W with a central hole of diameter d, pulled by axial force F at both ends
Inputs
mm
mm
mm
N

Sy 250 MPa · Sut 460 MPa · E 200 GPa — typical values, verify against the datasheet.

Results

SAFE — elasticFoS = 1.59
d/Wd/W
0.200
KtnK_{tn} (net)
2.519
KtgK_{tg} (gross)
3.149
σn\sigma_n (net nominal)
62.50 MPa
σmax\sigma_{max} (peak, at hole edge)
157.44 MPa
vs 3σg\text{vs } 3\sigma_g (infinite plate, 150.00 MPa)
+5.0%

Step-by-step hand calculation

Full working with your numbers

Every step to the factor of safety, written out with your own inputs — the way you'd write it in an exam.

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Charts

Kt chart with your design point

Peterson's Kt curves with your design point marked, and how the stress falls away from the hole.

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Validate it in ANSYS / SolidWorks Simulation

  1. Model a quarter plate with two symmetry planes.

The full validation guide

Model setup, mesh refinement, where to probe, and how close your FEA result should land.

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