SLS 01: Cantilever rectangular plate

Description

Material Modulus of elasticity E = 210 000 N/mm^2
Poisson’s ratio \nu= 0.3
Geometry Cross-section Thickness e=5 mm
Boundary conditions Along line AB Fixed
Loads On the entire surface p=1.7kNm/m^2
Mesh Maximum element size 0.02m
Minimum element size 0.00m

Results

Handcalculation

    \[\delta_y=\frac{b \cdot l^{4} \cdot p}{8 \cdot E \cdot I_z}=\frac{0.1m \cdot (1m)^4  \cdot 1.7kN/m^2}{8 \cdot E \cdot \frac{0.1m \cdot (0.005m)^3}{12}} = 97.143mm\]

Deformation \delta_y in Diamonds

Point Which result Independent reference Diamonds Difference
line CD Deformation \delta_y -97,143mm -95.821mm -1,36%

References

  • Mécaniciens, S. F. D. (1990). Guide de validation des progiciels de calcul des structures: SSLS 01: plaque en flexion et cisaillement dans son plan.
  • Tested in Diamonds 2023r01.

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