Processing math: 100%

SS-V: 1070 Plate with a Hole

Test No. VS08 Find the maximum stress of a plate with a hole.

Definition



Figure 1.

Due to symmetry, only ¼ section was analyzed (Figure 1).

The units are SI.

Sliding constraints applied to the left, back, and bottom faces.

The load is 5000N applied to the right face.*

The model parameters are:
Parameters
Value
L
100mm
H
50mm
R
20mm
F
100N/mm2
Thickness
1mm
The material properties are:
Properties
Value
Modulus of Elasticity
2.1e+11
Poisson's Ratio
0.3

Results

The reference solution is given by:(1)
σmax= kσnom

With k = 3.

σnom= Fhhr=166,7MPa

k= 33.13(dh)+3.66(dh)21.53(dh)3=2.2357

σmax=372.7MPa

The following table summarizes the maximum stress.
  Theory SimSolid % Difference
Maximum Stress [MPa] 3.7270E+02 3.7775E+02 1.35%

*To determine the load: 100N/mm2 x 50mm x 1mm.