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SLX 01: spacial structure with elastic supports

SLX 01: spacial structure with elastic supports

Description

Material		Modulus of elasticity	$E = 210 000 N/mm^2$
Material		Poisson’s ratio	$\nu= 0.3$
Geometry	Cross-section	Area	$A = 1 000 mm^2$
		Moment of inertia	$I = 1 000 000 mm^4$
		Torsion constant	$I_t = 2 000 000 mm^4$
	Boundary conditions	Point A: $R_x$ , $M_y$ , $M_z$	$52.5kN/m$ and $52.5kNm/rad$
		Point A: $R_y$ , $R_z$ , $M_x$	Fixed
		Point B: $R_z$ , $M_x$ , $M_y$	$52.5kN/m$ and $52.5kNm/rad$
		Point B: $R_x$ , $R_y$ , $M_z$	Fixed
		In point C	Hinge
Loads		in point D	$F = 10kN$

Results

Deformation $\delta_y$ in Diamonds

Location	Which result	Independent reference	Diamonds	Difference
A	Bending moment $M_y$	8,438kNm	8,434kNm	-0.05%
A	Torsional moment $T_x$	-1,562kNm	-1,565kNm	0,19%
A	Bending moment $M_z$	3,125kNm	3,131kNm	0,19%
A	Deformation $\delta_x$	0	0	0,00%
A	Deformation $\delta_y$	29,76mm	29,83mm	0,24%
A	Deformation $\delta_z$	0	0	0,00%
A	Angular displacement $\varphi_x$	0	0	0,00%
A	Angular displacement $\varphi_y$	-0,05952 rad	-0,05964 rad	0,20%
A	Angular displacement $\varphi_z$	-0,16073 rad	-0,16066 rad	-0,04%
E	Deformation $\delta_x$	138,87mm	139,17mm	0,22%
E	Deformation $\delta_y$	-370,07mm	-369,85mm	-0,06%
E	Deformation $\delta_z$	29,78mm	29,83mm	0,17%

References

Mécaniciens, S. F. D. (1990). Guide de validation des progiciels de calcul des structures: SSLL 04: structure spatiale sur appuis élastiques.

Tested in Diamonds 2023r01.

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