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SLX 06: in plane bending of an arc

SLX 06: in plane bending of an arc

Description

Material		Modulus of elasticity	$E =200 000N/mm^2$
Material		Poisson’s ratio	$\nu= 0.3$
Geometry	Cross-section	Tube	$d_i = 16mm$
			$d_e = 20mm$
	Boundary conditions	In point A	Fixed support
Loads		In point B	$F_x = 0.01kN$ $F_y = 0.005kN$ $M = 0.008kNm$

Note: the arc is approximated with 16 line segments

Results

Horizontal deformation $\delta_x$ in Diamonds

Point	Which result	Independent reference	Diamonds	Difference
B	Horizontal deformation $\delta_x$	379,1mm	378,5mm	0,11%
B	Vertical deformation $\delta_y$	241,7mm	241,8mm	0,04%
B	Angular deformation $\varphi_z$	0,1654rad	0,1653rad	-0,06%

References

Mécaniciens, S. F. D. (1990). Guide de validation des progiciels de calcul des structures: SSLL 06: arc mince encastré en flexion plane.

Tested in Diamonds 2024r01.

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