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SLX 08: simply supported thin arc under inplane bending

SLX 08: simply supported thin arc under inplane bending

Description

Material		Modulus of elasticity	$E = 200 000 N/mm^2$
Material		Poisson’s ratio	$\nu= 0.3$
Geometry	Cross-section	Tube	$d_i = 16mm$
	Cross-section		$d_e = 20mm$
	Boundary conditions	In point A	Simple support
	Boundary conditions	In point B	Roller support
Loads		In point C	$F = 0.1kN$

Note: the arc is approximated with 16 line segments

Results

Horizontal deformation $\delta_x$ in Diamonds

Point	Which result	Independent reference	Diamonds	Difference
A	Angular displacement $\varphi_z$	-0,030774 rad	-0,030898 rad	0,40%
B	Angular displacement $\varphi_z$	0,030774 rad	0,030898 rad	0,40%
B	Horizontal deformation $\delta_x$	53,913mm	53,826mm	-0,16%
C	Deformation $\delta_y$	-19,206mm	-19,250mm	0.23%

References

Mécaniciens, S. F. D. (1990). Guide de validation des progiciels de calcul des structures: SSLL 08: arc mince bi-articulé en flexion plane.

Tested in Diamonds 2025.

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