SLS 02: Simply supported square plate under uniform load

Description

Open handcalculations

$D=\frac{E \cdot e^3}{12(1-\upsilon ^2)}=\frac{210 000N/mm^2 \cdot (0,01m)^3}{12(1-0,3^2)}=19,231kNm$

From Timoshenko: $\alpha=0,00406$

$\delta_y=\frac{\alpha \cdot p \cdot z^{4}}{64 \cdot D}=\frac{0,00406 \cdot 0.7799kN/m^2 \cdot (1m)^{4}}{64 \cdot 19,231kNm} = 0,165mm$

Deformation $\delta_y$ in Diamonds

Point	Which result	Independent reference	Diamonds	Difference
A	Deformation $\delta_y$	0,165mm	0,163mm	-1,00%

Mécaniciens, S. F. D. (1990). Guide de validation des progiciels de calcul des structures: SSLS 02: plaque carrée simplement supportée.
Timoshenko, S., & Woinowsky-Krieger, S. (1959, p. 177 equ. 141 and Table 8). Theory of plates and shells. McGraw-Hill Publishing Company.

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