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SLL 07: Beam on elastic foundation, simply supported ends

SLL 07: Beam on elastic foundation, simply supported ends

Description

Material		Modulus of elasticity	$E=210 000 N/mm^2$
Geometry	Cross-section	Moment of inertia	$I=100 000 000 mm^4$
	Boundary conditions	In points A & C	$R_y$ fixed
		Subgrade	$k=840 \text{kN/m/m}$
Loads		In points A & C	$M=15 \text{kN/m}$
		In point B	$F=10 \text{kN}$
		On the entire beam	$p=5 \text{kN/m}$
Mesh		Number of divisions	20

Results

Bending moment $M_y$ in Diamonds

Point	Which result	Independent reference	Diamonds	Difference
A	Angular rotation $\varphi_z$	0.003045rad	0.003045rad	0,00%
A	Reaction $R_y$	11,674kN	11.678kN	0,03%
B	Deformation $\delta_y$	-4,23326mm	-4.23273mm	-0,01%
B	Bending moment $M_y$	33,840kNm	33,835kNm	-0,01%

References

Mécaniciens, S. F. D. (1990). Guide de validation des progiciels de calcul des structures: SSLL 16: poutre sur sol élastique, extrémités articulées

Tested in Diamonds 2024r01.

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