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SLS 03: Circular plate under uniform load

SLS 03: Circular plate under uniform load

Description

Material		Modulus of elasticity	$E =210 000 N/mm^2$
Material		Poisson’s ratio	$\nu=0.3$
Geometry	Cross-section	Thickness	$e=5 mm$
Geometry	Boundary conditions	Along all edges	Fixed
Loads		On the entire surface	$p=1.0kN/m^2$
Mesh		Maximum element size	$0.06m$
Mesh		Minimum element size	$0.03m$

Results

Handcalculation

$D=\frac{E \cdot e^3}{12(1-\upsilon ^2)}=\frac{210 000N/mm^2 \cdot (0,005m)^3}{12(1-0,3^2)}=2404kNm$

$\delta_y=\frac{p \cdot r^{4}}{64 \cdot D}=\frac{1kN/m \cdot (1m)^{4}}{64 \cdot 2404kNm} = 6,500mm$

Deformation $\delta_y$ in Diamonds

Point	Which result	Independent reference	Diamonds	Difference
A	Deformation $\delta_y$	6,500mm	6,531mm	0,48%

References

Mécaniciens, S. F. D. (1990). Guide de validation des progiciels de calcul des structures: SSLS 03: plaque circulaire sous charge uniforme.

Tested in Diamonds 2023r01.

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